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+2), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [-1/2, -1/2], [3/4, 3/4], [-3, -3]]]], [[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+2),
z = -(y-x)^(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,
5, 3], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2
), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [-1/2, -1/2], [3/4, 3/4], [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+2), z = (y-x)^(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, 5, 5], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y <
x+2), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/
65536], [-1/2, -1/2], [3/4, 3/4], [3, 3]]]], [[1, 6, 5, 1, 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], [-1, -1], [0, 0]]]], [[1, 12, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 10, 2, 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, 17, 10, 5, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2))
, x = 1, And(1 < y,y < -u^2+v^2+2), z < -(y-1)^(1/2)], [regular_chain, [[-3, -\
3], [403851/131072, 403851/131072], [1, 1], [328543/262144, 328543/262144], [-\
2, -2]]]], [[1, 17, 10, 5, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x
= 1, And(1 < y,y < -u^2+v^2+2), z = -(y-1)^(1/2)], [regular_chain, [[-3, -3],
[403851/131072, 403851/131072], [1, 1], [328543/262144, 328543/262144], [-\
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(1 < 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], [328543/262144, 328543/262144], [-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(1 < y,y
< -u^2+v^2+2), z = (y-1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [1, 1], [328543/262144, 328543/262144], [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(1 < y,y < -u^2+v^2+2), (y-1)^(1/2) < z], [regular_chain, [[-3, -3],
[403851/131072, 403851/131072], [1, 1], [328543/262144, 328543/262144], [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 = 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], [1699253/524288, 3398507/1048576], [-3, -3]]]], [[1, 19, 9
, 8, 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], [
1699253/524288, 3398507/1048576], [-1655969/1048576, -3311937/2097152]]]], [[1
, 19, 9, 8, 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], [1699253/524288, 3398507/1048576], [-1/
4194304, -1/4194304]]]], [[1, 19, 9, 8, 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], [1699253/524288, 3398507/1048576], [51749/
32768, 1655969/1048576]]]], [[1, 19, 9, 8, 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], [1699253/524288, 3398507/1048576], [3, 3]]
]], [[2, 3, 10, 9, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, u^2 < y
, z < -(y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [1, 1], [5, 5], [-3, -3]]]], [[2, 3, 10, 9
, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, u^2 < y, z = -(y-1)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [1, 1], [5, 5], [-2, -2]]]], [[2, 3, 10, 9, 3], [v = -2^(1/2
), And(-2 < u,u < -3^(1/2)), x = 1, u^2 < y, 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, 9, 4], [v = -2^(1/2)
, And(-2 < u,u < -3^(1/2)), x = 1, u^2 < y, z = (y-1)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [1,
1], [5, 5], [2, 2]]]], [[2, 3, 10, 9, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/
2)), x = 1, u^2 < y, (y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3913339/2097152, -3913339/2097152], [1, 1], [5, 5], [3, 3]]]
], [[2, 5, 10, 3, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 1, And(0 < y
,y < 1), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [1, 1], [1/2, 1/2], [0, 0]]]], [[2, 5, 10,
4, 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, 4, 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, 4, 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, 3, 1], [v =
-2^(1/2), And(v < u,u < -1), 1 < x, And(0 < y,y < x), z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [2,
2], [1, 1], [0, 0]]]], [[2, 13, 7, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 3, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 0, 
And(0 < y,y < -u^2+3), 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, 3, 2], [v = -2^(1/2), And(-v < u,u <
3^(1/2)), x = 0, And(0 < y,y < -u^2+3), 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, 3, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 0, And(0 < 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], [275385/1048576, 
275385/1048576], [-1/4194304, -1/4194304]]]], [[2, 15, 8, 3, 4], [v = -2^(1/2)
, And(-v < u,u < 3^(1/2)), x = 0, And(0 < y,y < -u^2+3), 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, 3, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 0,
And(0 < y,y < -u^2+3), 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, 1, 1], [v = -2^(1/2), 2 < u, And(-1 <
x,x < 0), y < x-u^2+3, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [-1/2, -1/2], [-8, -8], [0, 0]]]], [[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-u^2+v^2+1, z = z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [8, 8], [
763943/524288, 1527887/1048576], [0, 0]]]], [[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(0 < y,y < x),
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[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], [239655/524288, 
479311/1048576], [-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], [239655/524288, 479311/1048576], [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], [239655/524288, 
479311/1048576], [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(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z <
(y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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
= u^2+x, z < u], [regular_chain, [[-1, -1], [-3, -3], [8, 8], [17, 17], [-4, -\
4]]]], [[4, 1, 11, 8, 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
, 8, 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, 8
, 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, 8, 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, 5, 1], [v = -1, And(-1 < u,u < 0), 
And(0 < x,x < 1), And(x < y,y < u^2+x), z < -(y-x)^(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(x < y,y < u^2+x), z = -(y-x)^
(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(x < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y
< u^2+x), z = (y-x)^(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(x < y,y < u^2+x), (y-x)^(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 = -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, 6, 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, 6, 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, 6, 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, 6, 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,
9, 4, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), y = x-u
^2+2, z = z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [
773191/1048576, 773191/1048576], [275385/1048576, 137693/524288], [0, 0]]]], [
[4, 15, 6, 5, 1], [v = -1, 3^(1/2) < u, x = 0, And(0 < y,y < u^2), z < -y^(1/2
)], [regular_chain, [[-1, -1], [3, 3], [0, 0], [9/2, 9/2], [-4, -4]]]], [[4, 
15, 6, 5, 2], [v = -1, 3^(1/2) < u, x = 0, And(0 < y,y < u^2), z = -y^(1/2)],
[regular_chain, [[-1, -1], [3, 3], [0, 0], [9/2, 9/2], [-1112183/524288, -\
2224365/1048576]]]], [[4, 15, 6, 5, 3], [v = -1, 3^(1/2) < u, x = 0, And(0 < y
,y < u^2), 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, 5, 4], [v = -1, 3^(1/2) < u, x = 0,
And(0 < y,y < u^2), z = y^(1/2)], [regular_chain, [[-1, -1], [3, 3], [0, 0], [
9/2, 9/2], [2224365/1048576, 1112183/524288]]]], [[4, 15, 6, 5, 5], [v = -1, 3
^(1/2) < u, x = 0, And(0 < y,y < u^2), y^(1/2) < z], [regular_chain, [[-1, -1]
, [3, 3], [0, 0], [9/2, 9/2], [4, 4]]]], [[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-u^2+v^2+1, z < -(-u^2+v
^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [1/2, 1/2], [574353/524288, 1148707/1048576], [-2, -2]]]], [[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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [1/2, 1/2], [574353/524288, 1148707/
1048576], [-1618333/2097152, -3236665/4194304]]]], [[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-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], [1/2, 1/2], [574353/524288, 
1148707/1048576], [-1/8388608, -1/8388608]]]], [[5, 5, 9, 6, 4], [And(-1 < v,v
< 0), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), y = x-u^2+v^2+1, z = (-
u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [1/2, 1/2], [574353/524288, 1148707/1048576], [404583/524288, 809167
/1048576]]]], [[5, 5, 9, 6, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u <
v), And(0 < x,x < 1), y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain
, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2], [574353/
524288, 1148707/1048576], [2, 2]]]], [[5, 7, 10, 5, 1], [And(-1 < v,v < 0), 
And(v < u,u < -v), x = 1, And(1 < y,y < u^2-v^2+2), 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(1 < y,y < u^2-
v^2+2), 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(1 < 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], [11/8, 
11/8], [0, 0]]]], [[5, 7, 10, 5, 4], [And(-1 < v,v < 0), And(v < u,u < -v), x
= 1, And(1 < y,y < u^2-v^2+2), 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(1 < y,y < u^2-v^2+2),
(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
= -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, 8, 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, 8, 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, 8, 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, 8, 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, 9, 11, 7, 1], [And(-1 < v,v < 0),
And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z
< -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [2, 2], [3, 3], [-2, -2]]]], [[5, 9, 11, 7, 2], [And(-1 < v,v < 0),
And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z
= -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [2, 2], [3, 3], [-1, -1]]]], [[5, 9, 11, 7, 3], [And(-1 < v,v < 0),
And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [2, 2], [3, 3], [0, 0]]]], [[5, 9, 11, 7, 4
], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(x-u^2+v^2+1 <
y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [2, 2], [3, 3], [1, 1]]]], [[5, 9, 11, 7, 5], [And(
-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(x-u^2+v^2+1 < y,y < u
^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152
, 1696631/2097152], [2, 2], [3, 3], [2, 2]]]], [[6, 2, 3, 6, 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,
6, 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, 6, 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, 6, 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, 6, 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, 9, 1], [v = 0, And(-2^(1/2) < u,u < -1), 1 < x, u^2+x+1 < y, z < -(y-x)
^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [2, 2]
, [6, 6], [-3, -3]]]], [[6, 3, 11, 9, 2], [v = 0, And(-2^(1/2) < u,u < -1), 1
< x, u^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1265743/
1048576, -1265743/1048576], [2, 2], [6, 6], [-2, -2]]]], [[6, 3, 11, 9, 3], [v
= 0, And(-2^(1/2) < u,u < -1), 1 < x, u^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y
-x)^(1/2))], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [2
, 2], [6, 6], [0, 0]]]], [[6, 3, 11, 9, 4], [v = 0, And(-2^(1/2) < u,u < -1),
1 < x, u^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[0, 0], [-1265743/
1048576, -1265743/1048576], [2, 2], [6, 6], [2, 2]]]], [[6, 3, 11, 9, 5], [v =
0, And(-2^(1/2) < u,u < -1), 1 < x, u^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [2, 2], [6, 6],
[3, 3]]]], [[6, 8, 1, 5, 1], [v = 0, u = 1, x < -2, And(x+2 < y,y < 0), z < -(
y-x)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3, -3], [-1/2, -1/2], [-3, -3]
]]], [[6, 8, 1, 5, 2], [v = 0, u = 1, x < -2, And(x+2 < y,y < 0), z = -(y-x)^(
1/2)], [regular_chain, [[0, 0], [1, 1], [-3, -3], [-1/2, -1/2], [-3315889/
2097152, -207243/131072]]]], [[6, 8, 1, 5, 3], [v = 0, u = 1, x < -2, And(x+2
< y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [
1, 1], [-3, -3], [-1/2, -1/2], [0, 0]]]], [[6, 8, 1, 5, 4], [v = 0, u = 1, x <
-2, And(x+2 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3
, -3], [-1/2, -1/2], [207243/131072, 1657945/1048576]]]], [[6, 8, 1, 5, 5], [v
= 0, u = 1, x < -2, And(x+2 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[0,
0], [1, 1], [-3, -3], [-1/2, -1/2], [3, 3]]]], [[6, 9, 11, 8, 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], [2336807/524288, 4673615/
1048576], [-3, -3]]]], [[6, 9, 11, 8, 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], [2336807/524288, 4673615/1048576], [-410915/262144
, -3287319/2097152]]]], [[6, 9, 11, 8, 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], [2336807/524288, 4673615/
1048576], [-1/4194304, -1/4194304]]]], [[6, 9, 11, 8, 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], [2336807/524288, 4673615/1048576],
[1643659/1048576, 410915/262144]]]], [[6, 9, 11, 8, 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], [2336807/524288, 4673615/1048576],
[3, 3]]]], [[7, 4, 1, 7, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x < -2, 0
< y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343
/1048576], [-3, -3], [1, 1], [-3, -3]]]], [[7, 4, 1, 7, 2], [And(0 < v,v < 1),
u = -(v^2+1)^(1/2), x < -2, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1
/2], [-146543/131072, -1172343/1048576], [-3, -3], [1, 1], [-2, -2]]]], [[7, 4
, 1, 7, 3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x < -2, 0 < y, And(-(y-x)^(
1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-146543/131072, -\
1172343/1048576], [-3, -3], [1, 1], [0, 0]]]], [[7, 4, 1, 7, 4], [And(0 < v,v
< 1), u = -(v^2+1)^(1/2), x < -2, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[1
/2, 1/2], [-146543/131072, -1172343/1048576], [-3, -3], [1, 1], [2, 2]]]], [[7
, 4, 1, 7, 5], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x < -2, 0 < y, (y-x)^(1/
2) < z], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3,
-3], [1, 1], [3, 3]]]], [[7, 6, 1, 1, 1], [And(0 < v,v < 1), u = -v, x < -1, y
< x, z = z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [-3, -3], [0
, 0]]]], [[7, 13, 11, 2, 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, 5, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 1, 1], [v = 1, u = 0, And(-1 < x,x < 0), y < x, z = z], [regular_chain,
[[1, 1], [0, 0], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[8, 10, 3, 5, 1], [v = 1,
u = 1, And(-1 < x,x < 0), And(0 < y,y < x+1), z < -(y-x)^(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+1), z = -(y-x)^(
1/2)], [regular_chain, [[1, 1], [1, 1], [-1/2, -1/2], [1/4, 1/4], [-1816187/
2097152, -3632373/4194304]]]], [[8, 10, 3, 5, 3], [v = 1, u = 1, And(-1 < x,x
< 0), And(0 < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [1, 1], [-1/2, -1/2], [1/4, 1/4], [-1/8388608, -1/
8388608]]]], [[8, 10, 3, 5, 4], [v = 1, u = 1, And(-1 < x,x < 0), And(0 < y,y
< x+1), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [1, 1], [-1/2, -1/2], [1/4,
1/4], [908093/1048576, 454047/524288]]]], [[8, 10, 3, 5, 5], [v = 1, u = 1, 
And(-1 < x,x < 0), And(0 < y,y < x+1), (y-x)^(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 = x+3, z < -3^(1/2)], [regular_chain, [[1, 1]
, [908093/524288, 1816187/1048576], [-2, -2], [1, 1], [-3, -3]]]], [[8, 14, 3,
8, 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, 8, 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, 8, 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, 8, 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, 7, 1], [v = 1, 3^(1/2) < u, u^2-2 < x, And(x < y,y < u^2+x), z < -(y-x)^(1
/2)], [regular_chain, [[1, 1], [3, 3], [8, 8], [25/2, 25/2], [-4, -4]]]], [[8,
15, 11, 7, 2], [v = 1, 3^(1/2) < u, u^2-2 < x, And(x < y,y < u^2+x), z = -(y-x
)^(1/2)], [regular_chain, [[1, 1], [3, 3], [8, 8], [25/2, 25/2], [-1112183/
524288, -2224365/1048576]]]], [[8, 15, 11, 7, 3], [v = 1, 3^(1/2) < u, u^2-2 <
x, And(x < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [3, 3], [8, 8], [25/2, 25/2], [0, 0]]]], [[8, 15, 11,
7, 4], [v = 1, 3^(1/2) < u, u^2-2 < x, And(x < y,y < u^2+x), z = (y-x)^(1/2)],
[regular_chain, [[1, 1], [3, 3], [8, 8], [25/2, 25/2], [2224365/1048576, 
1112183/524288]]]], [[8, 15, 11, 7, 5], [v = 1, 3^(1/2) < u, u^2-2 < x, And(x
< y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [3, 3], [8, 8], [25
/2, 25/2], [4, 4]]]], [[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+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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 1, 1], [And(1 < v,v <
2^(1/2)), u = (v^2-1)^(1/2), And(-1 < x,x < 0), y < x, z = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-1/2, -\
1/2], [-2, -2], [0, 0]]]], [[9, 16, 4, 3, 1], [And(1 < v,v < 2^(1/2)), u = (v^
2+2)^(1/2), x = -1, And(-2 < y,y < -1), z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-1, -1], [-3/2, -\
3/2], [0, 0]]]], [[10, 1, 1, 2, 1], [v = 2^(1/2), u < -2, x < -u^2+1, y = x-u^
2+3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9,
-9], [-15, -15], [0, 0]]]], [[10, 4, 6, 5, 1], [v = 2^(1/2), u = -3^(1/2), x =
0, 2 < y, z < -y^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1816187/1048576, -3632373/2097152], [0, 0], [3, 3], [-3, -3]]]], [[10, 4, 6, 5
, 2], [v = 2^(1/2), u = -3^(1/2), x = 0, 2 < y, 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, 5, 3], [v = 2^
(1/2), u = -3^(1/2), x = 0, 2 < y, 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, 5, 4], [v =
2^(1/2), u = -3^(1/2), x = 0, 2 < y, 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, 5, 5], [v = 2^(1/2), u = -3
^(1/2), x = 0, 2 < y, y^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1816187/1048576, -3632373/2097152], [0, 0], [3, 3], [3, 3]]]], [[
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, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [-3/2, -3/2], [-3, -3], [0, 0]]]], [[10, 14,
1, 3, 1], [v = 2^(1/2), u = v, x < -1, And(x < y,y < x+1), z < -(y-x)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-2, -2], [-3/2, -3/2], [-2, -2]]]], [[10, 14, 1, 3, 2], [v = 2^(1/2
), u = v, x < -1, And(x < y,y < x+1), z = -(y-x)^(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, 3, 3], [v =
2^(1/2), u = v, x < -1, And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/
2))], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 
1482911/1048576], [-2, -2], [-3/2, -3/2], [0, 0]]]], [[10, 14, 1, 3, 4], [v =
2^(1/2), u = v, x < -1, And(x < y,y < x+1), z = (y-x)^(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, 3, 5], [v = 2^(1/
2), u = v, x < -1, And(x < y,y < x+1), (y-x)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-2, -2], [
-3/2, -3/2], [2, 2]]]], [[11, 2, 5, 8, 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,
8, 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, 8, 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, 8, 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, 8, 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, 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 = 0, z < -3^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152
, -2774271/1048576], [-3, -3], [0, 0], [-3, -3]]]], [[11, 10, 2, 6, 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, 6, 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, 6, 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, 6, 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, 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 < -(u^2-v^2+y+1)^(1/2)], [
regular_chain, [[3, 3], [0, 0], [8, 8], [13, 13], [-4, -4]]]], [[11, 11, 10, 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^2-1 < y,y < -2*u^2+2*v^2), 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, 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^2-1 < 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], [0, 0],
[8, 8], [13, 13], [0, 0]]]], [[11, 11, 10, 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^2-1 < y,y < -2*u^2+2*v
^2), 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, 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^2-1 < y,
y < -2*u^2+2*v^2), (u^2-v^2+y+1)^(1/2) < z], [regular_chain, [[3, 3], [0, 0],
[8, 8], [13, 13], [4, 4]]]], [[11, 15, 8, 2, 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, 2, 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
, 2, 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, 8, 6, 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], [1565959/1048576, 195745/131072], [-3, -3]]]],
[[11, 17, 8, 6, 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], [1565959/1048576, 195745/131072], [-1281417/1048576, -\
160177/131072]]]], [[11, 17, 8, 6, 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], [1565959/
1048576, 195745/131072], [0, 0]]]], [[11, 17, 8, 6, 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], [1565959/
1048576, 195745/131072], [160177/131072, 1281417/1048576]]]], [[11, 17, 8, 6,
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
], [1565959/1048576, 195745/131072], [3, 3]]]], [[1, 2, 7, 3, 1], [v < -2^(1/2
), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(x-1 < 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, 6, 1, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), x =
0, y < 0, z = z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [0, 0], [-1, -1], [0, 0]]]], [[1, 10, 4, 3, 1], [v < -2^(1/2), u = -
(v^2-2)^(1/2), x = -1, And(-2 < y,y < -1), z = z], [regular_chain, [[-3, -3],
[-5548543/2097152, -2774271/1048576], [-1, -1], [-3/2, -3/2], [0, 0]]]], [[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(0 < y,y < u^2-v^2+2), z = z], [regular_chain, [[-3, -3], [1435023/524288,
1435023/524288], [1, 1], [515539/2097152, 515539/2097152], [0, 0]]]], [[1, 15,
9, 6, 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], [1040859/1048576, 260215/262144], [-2,
-2]]]], [[1, 15, 9, 6, 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], [1040859/1048576, 260215/
262144], [-735979/1048576, -1471957/2097152]]]], [[1, 15, 9, 6, 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], [1040859/1048576, 260215/262144
], [-1/4194304, -1/4194304]]]], [[1, 15, 9, 6, 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], [
1040859/1048576, 260215/262144], [367989/524288, 735979/1048576]]]], [[1, 15,
9, 6, 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], [1040859/1048576, 260215/262144], [2, 2
]]]], [[1, 21, 7, 3, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(0 < x,x < 1), 
And(x-u^2+v^2+1 < y,y < 0), z = z], [regular_chain, [[-3, -3], [5, 5], [1/2, 1
/2], [-29/4, -29/4], [0, 0]]]], [[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 = 1, z < 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [1, 1], [1, 1], [-1, -1]]]], [[2, 9, 10, 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, 10, 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, 11, 7, 9, 1], [v = -2^(1/2), And(0 < u,u < 1), And(0 < x,x
< -u^2+1), x-u^2+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [1/2, 1/2], [3/8, 3/8], [5, 5], [-4, -4]]]], [[2, 11, 7, 9, 2
], [v = -2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), x-u^2+3 < y, z = -(
y-x)^(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, 9, 3],
[v = -2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), x-u^2+3 < y, And(-(y-x
)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [1/2, 1/2], [3/8, 3/8], [5, 5], [0, 0]]]], [[2, 11, 7, 9, 4], [v = -2
^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), x-u^2+3 < y, z = (y-x)^(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, 9, 5], [v = -2^(1/2),
And(0 < u,u < 1), And(0 < x,x < -u^2+1), x-u^2+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [3/8, 3/8], [5
, 5], [4, 4]]]], [[2, 17, 7, 6, 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],
[252733/1048576, 126367/524288], [-1, -1]]]], [[2, 17, 7, 6, 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], [252733/1048576, 126367/524288], [0, 0]]]], [
[2, 17, 7, 6, 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], [252733/1048576,
126367/524288], [1, 1]]]], [[2, 19, 4, 9, 1], [v = -2^(1/2), 2 < u, x = -1, u^
2-2 < y, z < -(y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [3, 3], [-1, -1], [8, 8], [-4, -4]]]], [[2, 19, 4, 9, 2], [v = -2^(1/2), 2
< u, x = -1, u^2-2 < y, z = -(y+1)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [3, 3], [-1, -1], [8, 8], [-3, -3]]]], [[2, 19, 4, 9, 3], [v
= -2^(1/2), 2 < u, x = -1, u^2-2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))],
[regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1, -1], [8, 8],
[0, 0]]]], [[2, 19, 4, 9, 4], [v = -2^(1/2), 2 < u, x = -1, u^2-2 < y, z = (y+
1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1, -\
1], [8, 8], [3, 3]]]], [[2, 19, 4, 9, 5], [v = -2^(1/2), 2 < u, x = -1, u^2-2
< y, (y+1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3
, 3], [-1, -1], [8, 8], [4, 4]]]], [[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, 2*u^2-2*v^2 < y,
z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-14373233/8388608, -14373233/8388608], [501965/1048576, 250983/
524288], [4, 4], [-3, -3]]]], [[3, 3, 8, 7, 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, 2*u^2-2*v^2 < y, z = -
(y-u^2+v^2+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, 7, 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, 2*u^2-2*
v^2 < y, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+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, 7, 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, 2*u^2-2*v^2 < y, z = (y-u^2+v^2+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, 7, 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, 2*u^2-2*v^2 < y, (y-u^2+v^2+1)^
(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [501965/1048576, 250983/524288], [4, 4], [3, 3]]]
], [[3, 5, 8, 1, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v),
x = 0, y < 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-5818805/4194304, -5818805/4194304], [0, 0], [-1, -1], [0, 0]]]], [[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(u^2-v^2+x+1 < y,y < x-u^2+v^2+1), z < -(y-x)^(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, 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(u^2-v^2+x+1 < y,y < x-u^2
+v^2+1), z = -(y-x)^(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, 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(u^2-v^2+x+1 < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(u^2-v^2+x+1 < y,y < x-u^2+v
^2+1), z = (y-x)^(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, 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(u^2
-v^2+x+1 < y,y < x-u^2+v^2+1), (y-x)^(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,
6, 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], [1538811/1048576, 
384703/262144], [-3, -3]]]], [[3, 13, 8, 6, 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], [1538811/1048576, 384703/262144], [-1270261/1048576,
-317565/262144]]]], [[3, 13, 8, 6, 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], [1538811/1048576, 384703/262144], [0, 0]]]]
, [[3, 13, 8, 6, 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], [
1538811/1048576, 384703/262144], [317565/262144, 1270261/1048576]]]], [[3, 13,
8, 6, 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], [1538811/1048576
, 384703/262144], [3, 3]]]], [[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 < 0, z = z], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2
, 1/2], [-1, -1], [0, 0]]]], [[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 = 0, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [501965/1048576, 250983/524288], [0, 0], [0, 0]]]], [[4, 3, 9, 3, 1],
[v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x < 1), And(0 < y,y < x
-u^2+2), z = z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [1546383/2097152, 1546383/2097152], [275385/2097152, 275385/2097152]
, [0, 0]]]], [[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], [569265/1048576, 284633/524288], [-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], [569265/1048576, 284633/524288], [-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], [569265/1048576, 284633/524288], [-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], [569265/1048576, 284633/524288], [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], [569265/1048576, 284633/524288], [
2, 2]]]], [[4, 9, 9, 2, 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, 1, 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], [-1, -1]
, [0, 0]]]], [[5, 2, 1, 7, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x < -3,
And(x+3 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -\
3/2], [-4, -4], [-1/2, -1/2], [-3, -3]]]], [[5, 2, 1, 7, 2], [And(-1 < v,v < 0
), u = -(v^2+2)^(1/2), x < -3, And(x+3 < y,y < 0), z = -(y-x)^(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, 7, 3], [And(-1 < v,v < 0), u = -(v^2+2
)^(1/2), x < -3, And(x+3 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-4, -4], [-1/2, -1/2], [0, 0]]]],
[[5, 2, 1, 7, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x < -3, And(x+3 < y,
y < 0), z = (y-x)^(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, 7, 5], [And(-\
1 < v,v < 0), u = -(v^2+2)^(1/2), x < -3, And(x+3 < y,y < 0), (y-x)^(1/2) < z]
, [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-4, -4], [-1/2, -1/2], [3, 3]]
]], [[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(0 < y,y < -u^2+v^2+2), z = z], [regular_chain, [[-1/2, -1/
2], [-343151/262144, -343151/262144], [1, 1], [562533/2097152, 562533/2097152]
, [0, 0]]]], [[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 < 0, z = z], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [2, 2], [-1, -1], [0, 0]]]], [[5, 13, 8, 4, 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, 11, 3, 1], [v = 0, And(-1 <
u,u < 0), 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[0, 0], [-1/2, -1/
2], [2, 2], [1, 1], [0, 0]]]], [[6, 8, 1, 2, 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, 2, 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, 2, 3], [v = 0, u = 1, x < -2,
y = x, 0 < z], [regular_chain, [[0, 0], [1, 1], [-3, -3], [-3, -3], [1, 1]]]],
[[6, 11, 9, 2, 1], [v = 0, 2^(1/2) < u, And(1 < x,x < u^2-1), y = x-u^2+1, z =
z], [regular_chain, [[0, 0], [3, 3], [9/2, 9/2], [-7/2, -7/2], [0, 0]]]], [[7,
2, 4, 5, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -1, And(-1 < y,y < 0),
z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0),
And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = -1, z < 0], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1, -1],
[-1, -1], [-1, -1]]]], [[7, 8, 2, 2, 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, 2, 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, 5, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(0 <
y,y < x+2), z < -(y-x)^(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, 5, 2], [And
(0 < v,v < 1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2), z =
-(y-x)^(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, 5, 3
], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2
), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 5, 4], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,
y < x+2), z = (y-x)^(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, 5, 5], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And
(0 < y,y < x+2), (y-x)^(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, 4, 2, 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, 2, 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, 2, 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, 2,
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,
4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 3, 1], [v = 1, u = -1, And(-1 < x,x < 0), And(x < y,
y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [-1/2,
-1/2], [-1/4, -1/4], [-1/2, -1/2]]]], [[8, 6, 3, 3, 3], [v = 1, u = -1, And(-1
< x,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [-1, -1], [-1/2, -1/2], [-1/4, -1/4], [0, 0]]]], [[8,
6, 3, 3, 4], [v = 1, u = -1, And(-1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(1
/2)], [regular_chain, [[1, 1], [-1, -1], [-1/2, -1/2], [-1/4, -1/4], [1/2, 1/2
]]]], [[8, 6, 3, 3, 5], [v = 1, u = -1, And(-1 < x,x < 0), And(x < y,y < 0), (
y-x)^(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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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 < -(y+1)^(1/2)], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1, -1], [2, 2], [-\
3, -3]]]], [[8, 12, 4, 7, 2], [v = 1, u = 2^(1/2), x = -1, 1 < y, z = -(y+1)^(
1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1, -1], [2
, 2], [-1816187/1048576, -3632373/2097152]]]], [[8, 12, 4, 7, 3], [v = 1, u =
2^(1/2), x = -1, 1 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain
, [[1, 1], [741455/524288, 1482911/1048576], [-1, -1], [2, 2], [-1/4194304, -1
/4194304]]]], [[8, 12, 4, 7, 4], [v = 1, u = 2^(1/2), x = -1, 1 < y, z = (y+1)
^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1, -1],
[2, 2], [908093/524288, 1816187/1048576]]]], [[8, 12, 4, 7, 5], [v = 1, u = 2^
(1/2), x = -1, 1 < y, (y+1)^(1/2) < z], [regular_chain, [[1, 1], [741455/
524288, 1482911/1048576], [-1, -1], [2, 2], [3, 3]]]], [[9, 2, 7, 6, 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, 6, 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, 6, 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, 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 < 0, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-1
, -1], [0, 0]]]], [[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 < y,y < 0), z < -(y-x)^(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, 3, 2], [And(1 < v,v < 2^(1/2)), u
= (v^2+1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [And(
1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), 
And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), 
And(-1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [And(1 < v,v < 2^(1/2)),
u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(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, 9, 1], [v = 2^(1/2
), u = -2, And(0 < x,x < 1), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-2, -2], [1/2, 1/2], [5, 5], [-4, -4]]]], [[
10, 2, 7, 9, 2], [v = 2^(1/2), u = -2, And(0 < x,x < 1), x+3 < y, z = -(y-x)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [1/2, 1/2]
, [5, 5], [-1112183/524288, -2224365/1048576]]]], [[10, 2, 7, 9, 3], [v = 2^(1
/2), u = -2, And(0 < x,x < 1), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [1/2, 1/2], [5,
5], [0, 0]]]], [[10, 2, 7, 9, 4], [v = 2^(1/2), u = -2, And(0 < x,x < 1), x+3
< y, z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2,
-2], [1/2, 1/2], [5, 5], [2224365/1048576, 1112183/524288]]]], [[10, 2, 7, 9,
5], [v = 2^(1/2), u = -2, And(0 < x,x < 1), x+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [1/2, 1/2], [5, 5]
, [4, 4]]]], [[10, 4, 5, 7, 1], [v = 2^(1/2), u = -3^(1/2), And(-1 < x,x < 0),
x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [3, 3], [-3, -3]]]], [[10,
4, 5, 7, 2], [v = 2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), x+2 < y, z = -(y-x
)^(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, 7, 3], [v = 2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), x+2 < y,
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [3, 3],
[0, 0]]]], [[10, 4, 5, 7, 4], [v = 2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), x
+2 < y, z = (y-x)^(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, 7, 5], [v = 2^(1/2), u = -3^(1/2), And(-1 < x
,x < 0), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [3, 3], [3, 3]]]
], [[10, 8, 7, 2, 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, 5, 1], [v = 2^(1/2), u = 0, x = -1, And(-1 < y,y < 0
), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 <
y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 < y,y < 0), z < -(y-x)
^(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, 3, 2],
[v = 2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v = 2^(1/2), u = 3^(1/2), And(-2 < x,x < -1)
, And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [v = 2^(1/2)
, u = 3^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = 2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), And(x < y,y < 0
), (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
908093/524288, 1816187/1048576], [-3/2, -3/2], [-3/4, -3/4], [2, 2]]]], [[10,
18, 1, 5, 1], [v = 2^(1/2), u = 2, x < -3, And(x < y,y < x+3), z < -(y-x)^(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 <
y,y < x+3), z = -(y-x)^(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 < y,y < x+3), And(-(
y-x)^(1/2) < z,z < (y-x)^(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 < y,y < x+3), z = (y-x)^(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 < y,y < x+3), (y-x)^(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 = -4, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [2, 2], [-3, -3], [-4, -4], [0, 0]]]], [[10, 19, 10, 1, 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], [-1, -1], [0, 0]]]], [[11, 6, 3, 1, 1], [2
^(1/2) < v, u = -v, And(-1 < x,x < 0), y < x, z = z], [regular_chain, [[3, 3],
[-3, -3], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[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+2), z < -(y-x)^(1/2)],
[regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2],
[1/4, 1/4], [-3, -3]]]], [[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+2), z = -(y-x)^(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, 5, 3], [2^(1/2) < v, u = -(v^2-1)^(1/
2), And(-2 < x,x < -1), And(0 < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/
2))], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3/2, -\
3/2], [1/4, 1/4], [0, 0]]]], [[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+2), z = (y-x)^(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, 5, 5], [2^(1/2) < v, u = -(v^2-1)
^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2], [
1/4, 1/4], [3, 3]]]], [[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(u^2-v^2+x+1 < y,y < x), 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], [133259/262144, 533037/1048576], [-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], [133259/262144, 533037/
1048576], [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], [133259
/262144, 533037/1048576], [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(0 < y,y < u^2-v^2-1), z
= z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511/
262144, 518045/1048576], [129511/524288, 129511/524288], [0, 0]]]], [[11, 21,
5, 2, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = x-u^2+v^2+1,
z = z], [regular_chain, [[3, 3], [5, 5], [-1/2, -1/2], [-31/2, -31/2], [0, 0]]
]], [[1, 4, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 2, 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, 12, 1, 5, 1], [v < -2^(1/2), u = (v^2
-2)^(1/2), x < -3, And(x < y,y < x+3), z < -(y-x)^(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 < y,y < x+3),
z = -(y-x)^(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 < y,y < x+3), And(-(y-x)^(1
/2) < z,z < (y-x)^(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 < y,y < x+3), z = (y-x)^(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 < y,y < x+3), (y-x)^(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 < 0,
z = z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1, 1], [
-1, -1], [0, 0]]]], [[1, 17, 10, 6, 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], [197471/131072, 1579769/1048576],
[-2, -2]]]], [[1, 17, 10, 6, 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], [197471/131072, 1579769/1048576], [-\
373161/524288, -1492643/2097152]]]], [[1, 17, 10, 6, 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], [197471/131072, 1579769/1048576], [-1/4194304, -1/4194304]]]], [[1,
17, 10, 6, 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], [197471/131072, 1579769/1048576], [746321/1048576, 
373161/524288]]]], [[1, 17, 10, 6, 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], [197471/131072, 1579769/1048576],
[2, 2]]]], [[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), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [1566621/2097152
, 1566621/2097152], [5, 5], [-4, -4]]]], [[1, 19, 9, 9, 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), u^2-v^2+x+1 <
y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [1566621/2097152, 1566621/2097152], [5, 5], [-540613/262144, -\
2162451/1048576]]]], [[1, 19, 9, 9, 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), u^2-v^2+x+1 < y, And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [1566621/2097152, 1566621/2097152], [5, 5], [0, 0]]]], [[1, 19, 9, 9
, 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), u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [1566621/2097152, 1566621/2097152], [5, 5],
[2162451/1048576, 540613/262144]]]], [[1, 19, 9, 9, 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), u^2-v^2+x+1 < y,
(y-x)^(1/2) < z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576
], [1566621/2097152, 1566621/2097152], [5, 5], [4, 4]]]], [[2, 3, 10, 8, 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], [3651195/1048576, 912799/262144], [-3, -3]]]], [[2,
3, 10, 8, 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], [3651195/1048576, 912799/262144], [-825991
/524288, -3303963/2097152]]]], [[2, 3, 10, 8, 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], [3651195/1048576, 912799/262144], [-1/4194304, -1/
4194304]]]], [[2, 3, 10, 8, 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], [3651195/1048576, 
912799/262144], [1651981/1048576, 825991/524288]]]], [[2, 3, 10, 8, 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], [3651195/1048576, 912799/262144], [3, 3]]]], [[2, 5,
10, 2, 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, 5, 10, 5, 1], [v = -2^(1/2),
And(-3^(1/2) < u,u < v), x = 1, And(1 < y,y < -u^2+4), z < -(y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [1, 1], [2647921/2097152, 2647921/2097152], [-2, -2]]]], [[2
, 5, 10, 5, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 1, And(1 < y,y < -
u^2+4), z = -(y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-6598195/4194304, -6598195/4194304], [1, 1], [2647921/2097152, 2647921/
2097152], [-1074731/2097152, -537365/1048576]]]], [[2, 5, 10, 5, 3], [v = -2^(
1/2), And(-3^(1/2) < u,u < v), x = 1, And(1 < 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], [2647921/2097152, 2647921/2097152]
, [0, 0]]]], [[2, 5, 10, 5, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 1,
And(1 < y,y < -u^2+4), z = (y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [1, 1], [2647921/2097152
, 2647921/2097152], [537365/1048576, 268683/524288]]]], [[2, 5, 10, 5, 5], [v
= -2^(1/2), And(-3^(1/2) < u,u < v), x = 1, And(1 < y,y < -u^2+4), (y-1)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304,
-6598195/4194304], [1, 1], [2647921/2097152, 2647921/2097152], [2, 2]]]], [[2,
7, 11, 4, 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, 4, 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, 4, 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, 3, 1], [v = -2^(1/2),
And(1 < u,u < -v), And(-u^2+1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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, 3, 2], [v = -2^(1/2), And(1 < u,u < -v), 
And(-u^2+1 < x,x < 0), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v = -2^(1/2), And(1 < u,u < -
v), And(-u^2+1 < x,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [v = -2^(1/2), And(1 < u,u < -v
), And(-u^2+1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = -2^(1/2), And(1 < u,u < -v
), And(-u^2+1 < x,x < 0), And(x < y,y < 0), (y-x)^(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, 2, 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, 2, 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, 2, 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, 2, 1], [v =
-2^(1/2), 2 < u, And(-1 < x,x < 0), y = x-u^2+3, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [-1/2, -1/2], [-13/2, -13/2], [0, 0]
]]], [[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-u^2+v^2+1 < y,y < x), 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 = 0, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/2, 1/2], [0, 0], [0
, 0]]]], [[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(0 < y,y < -u^2+v^2-1), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [239655/524288,
479311/1048576], [239655/1048576, 239655/1048576], [0, 0]]]], [[3, 17, 5, 4, 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, 4, 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, 4, 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, 7, 1], [v = -1, u < -3^(
1/2), u^2-2 < x, And(x < y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[-1
, -1], [-3, -3], [8, 8], [25/2, 25/2], [-4, -4]]]], [[4, 1, 11, 7, 2], [v = -1
, u < -3^(1/2), u^2-2 < x, And(x < y,y < u^2+x), z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [8, 8], [25/2, 25/2], [-1112183/524288, -\
2224365/1048576]]]], [[4, 1, 11, 7, 3], [v = -1, u < -3^(1/2), u^2-2 < x, And(
x < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1
, -1], [-3, -3], [8, 8], [25/2, 25/2], [0, 0]]]], [[4, 1, 11, 7, 4], [v = -1,
u < -3^(1/2), u^2-2 < x, And(x < y,y < u^2+x), z = (y-x)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [8, 8], [25/2, 25/2], [2224365/1048576, 
1112183/524288]]]], [[4, 1, 11, 7, 5], [v = -1, u < -3^(1/2), u^2-2 < x, And(x
< y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-3, -3], [8, 8],
[25/2, 25/2], [4, 4]]]], [[4, 7, 9, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = -1, And(0 < u,u < 1), x = 0, -u^2+2 < y, z < -y^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [0, 0], [3, 3], [-3, -3]]]], [[4, 9, 8,
7, 2], [v = -1, And(0 < u,u < 1), x = 0, -u^2+2 < y, z = -y^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [0, 0], [3, 3], [-1816187/1048576, -\
3632373/2097152]]]], [[4, 9, 8, 7, 3], [v = -1, And(0 < u,u < 1), x = 0, -u^2+
2 < y, 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, 7, 4], [v = -1, And(0
< u,u < 1), x = 0, -u^2+2 < y, z = y^(1/2)], [regular_chain, [[-1, -1], [1/2,
1/2], [0, 0], [3, 3], [908093/524288, 1816187/1048576]]]], [[4, 9, 8, 7, 5], [
v = -1, And(0 < u,u < 1), x = 0, -u^2+2 < y, y^(1/2) < z], [regular_chain, [[-\
1, -1], [1/2, 1/2], [0, 0], [3, 3], [3, 3]]]], [[4, 13, 9, 3, 1], [v = -1, And
(2^(1/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), And(0 < y,y < x-u^2+2), z = z
], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [773191/
1048576, 773191/1048576], [275385/2097152, 275385/2097152], [0, 0]]]], [[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-u^2
+v^2+1 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2],
[-1696631/2097152, -1696631/2097152], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[5
, 5, 9, 7, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x
< 1), And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain,
[[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2], [3/2, 3/2], [
-1, -1]]]], [[5, 5, 9, 7, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v
), And(0 < x,x < 1), And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[5, 5, 9, 7, 4], [And(-1
< v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), And(x-u^2+v^2+1 <
y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631
/2097152, -1696631/2097152], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[5, 5, 9, 7,
5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), And(x
-u^2+v^2+1 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/
2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [
[5, 7, 10, 6, 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, 6, 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,
6, 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, 6, 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, 6, 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, 7, 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,
7, 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, 7, 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
, 7, 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, 7, 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, 9, 11, 6, 1], [And(-1 < v,v
< 0), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y = x-u^2+v^2+1, z < -(-u^2+v^2+1)
^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [2
, 2], [1360785/524288, 2721571/1048576], [-2, -2]]]], [[5, 9, 11, 6, 2], [And(
-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y = x-u^2+v^2+1, z = -(-u
^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [2, 2], [1360785/524288, 2721571/1048576], [-1618333/2097152, -\
3236665/4194304]]]], [[5, 9, 11, 6, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^
2+1)^(1/2)), 1 < x, y = x-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]
, [2, 2], [1360785/524288, 2721571/1048576], [-1/8388608, -1/8388608]]]], [[5,
9, 11, 6, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y = x-
u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [2, 2], [1360785/524288, 2721571/1048576], [404583/
524288, 809167/1048576]]]], [[5, 9, 11, 6, 5], [And(-1 < v,v < 0), And(-v < u,
u < (v^2+1)^(1/2)), 1 < x, y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [2, 2], [
1360785/524288, 2721571/1048576], [2, 2]]]], [[6, 2, 3, 7, 1], [v = 0, u = -2^
(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), z < -(y-x)^(1/2)], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-2, -2], [1/2, 1/
2], [-3, -3]]]], [[6, 2, 3, 7, 2], [v = 0, u = -2^(1/2), And(-3 < x,x < -1), 
And(0 < y,y < x+3), z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1482911/
1048576, -741455/524288], [-2, -2], [1/2, 1/2], [-3315889/2097152, -207243/
131072]]]], [[6, 2, 3, 7, 3], [v = 0, u = -2^(1/2), And(-3 < x,x < -1), And(0
< y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0],
[-1482911/1048576, -741455/524288], [-2, -2], [1/2, 1/2], [0, 0]]]], [[6, 2, 3
, 7, 4], [v = 0, u = -2^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), z = (y-
x)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-2, -\
2], [1/2, 1/2], [207243/131072, 1657945/1048576]]]], [[6, 2, 3, 7, 5], [v = 0,
u = -2^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), (y-x)^(1/2) < z], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-2, -2], [1/2, 1/
2], [3, 3]]]], [[6, 4, 1, 1, 1], [v = 0, u = -1, x < -2, y < x, z = z], [
regular_chain, [[0, 0], [-1, -1], [-3, -3], [-4, -4], [0, 0]]]], [[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(x < y,y < u^2+x+
1), z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [2, 2], [3385383/1048576, 3385383/1048576], [-3, -3]]]], [[6, 9, 11,
7, 2], [v = 0, And(1 < u,u < 2^(1/2)), 1 < x, And(x < y,y < u^2+x+1), z = -(y-
x)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [2, 2]
, [3385383/1048576, 3385383/1048576], [-1162243/1048576, -581121/524288]]]], [
[6, 9, 11, 7, 3], [v = 0, And(1 < u,u < 2^(1/2)), 1 < x, And(x < y,y < u^2+x+1
), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [2, 2], [3385383/1048576, 3385383/1048576], [0, 0]]
]], [[6, 9, 11, 7, 4], [v = 0, And(1 < u,u < 2^(1/2)), 1 < x, And(x < y,y < u^
2+x+1), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [2, 2], [3385383/1048576, 3385383/1048576], [581121/524288, 1162243/
1048576]]]], [[6, 9, 11, 7, 5], [v = 0, And(1 < u,u < 2^(1/2)), 1 < x, And(x <
y,y < u^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [2, 2], [3385383/1048576, 3385383/1048576], [3, 3]]]], [[7,
4, 2, 1, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -2, y < -2, z = z], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-2, -2], [-3,
-3], [0, 0]]]], [[7, 6, 1, 2, 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, 2, 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, 2, 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, 11, 3, 1],
[And(0 < v,v < 1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, And(0 < y,y < x-u^2+v^2+1
), z = z], [regular_chain, [[1/2, 1/2], [3, 3], [9, 9], [5/8, 5/8], [0, 0]]]],
[[8, 2, 5, 9, 1], [v = 1, u = -3^(1/2), And(-1 < x,x < 0), x+3 < y, z < -(y-x)
^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-1/2,
-1/2], [4, 4], [-4, -4]]]], [[8, 2, 5, 9, 2], [v = 1, u = -3^(1/2), And(-1 < x
,x < 0), x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1816187/
1048576, -3632373/2097152], [-1/2, -1/2], [4, 4], [-1112183/524288, -2224365/
1048576]]]], [[8, 2, 5, 9, 3], [v = 1, u = -3^(1/2), And(-1 < x,x < 0), x+3 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-1816187/
1048576, -3632373/2097152], [-1/2, -1/2], [4, 4], [0, 0]]]], [[8, 2, 5, 9, 4],
[v = 1, u = -3^(1/2), And(-1 < x,x < 0), x+3 < y, z = (y-x)^(1/2)], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [4
, 4], [2224365/1048576, 1112183/524288]]]], [[8, 2, 5, 9, 5], [v = 1, u = -3^(
1/2), And(-1 < x,x < 0), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [
-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [4, 4], [4, 4]]]], [[8, 8,
4, 7, 1], [v = 1, u = 0, x = -1, 1 < y, z < -(y+1)^(1/2)], [regular_chain, [[1
, 1], [0, 0], [-1, -1], [2, 2], [-3, -3]]]], [[8, 8, 4, 7, 2], [v = 1, u = 0,
x = -1, 1 < y, z = -(y+1)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-1, -1], [
2, 2], [-1816187/1048576, -3632373/2097152]]]], [[8, 8, 4, 7, 3], [v = 1, u =
0, x = -1, 1 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1,
1], [0, 0], [-1, -1], [2, 2], [-1/4194304, -1/4194304]]]], [[8, 8, 4, 7, 4], [
v = 1, u = 0, x = -1, 1 < y, z = (y+1)^(1/2)], [regular_chain, [[1, 1], [0, 0]
, [-1, -1], [2, 2], [908093/524288, 1816187/1048576]]]], [[8, 8, 4, 7, 5], [v
= 1, u = 0, x = -1, 1 < y, (y+1)^(1/2) < z], [regular_chain, [[1, 1], [0, 0],
[-1, -1], [2, 2], [3, 3]]]], [[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), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [
908093/524288, 1816187/1048576], [-2, -2], [2, 2], [-3, -3]]]], [[8, 14, 3, 9,
2], [v = 1, u = 3^(1/2), And(-3 < x,x < -1), x+3 < y, z = -(y-x)^(1/2)], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-2, -2], [2, 2], [-\
2, -2]]]], [[8, 14, 3, 9, 3], [v = 1, u = 3^(1/2), And(-3 < x,x < -1), x+3 < y
, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [908093/
524288, 1816187/1048576], [-2, -2], [2, 2], [0, 0]]]], [[8, 14, 3, 9, 4], [v =
1, u = 3^(1/2), And(-3 < x,x < -1), x+3 < y, z = (y-x)^(1/2)], [regular_chain,
[[1, 1], [908093/524288, 1816187/1048576], [-2, -2], [2, 2], [2, 2]]]], [[8, 
14, 3, 9, 5], [v = 1, u = 3^(1/2), And(-3 < x,x < -1), x+3 < y, (y-x)^(1/2) <
z], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-2, -2], [2, 2
], [3, 3]]]], [[8, 15, 11, 8, 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, 8, 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, 8,
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, 8, 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, 8, 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, 5, 3, 1], [And(1 < v,v < 2^(1/2)), u = -v, And(0 < x,x <
1), And(0 < y,y < x), z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [1/4, 1/4], [0, 0]
]]], [[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+2), z < -(y-x)^(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, 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+2), z = -(y-x)^(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, 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+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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+2), z = (y-x)^(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, 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+2), (y-x)^(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, 6, 5, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x
= 0, 2 < y, z < -y^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-1417877/2097152, -354469/524288], [0, 0], [3, 3], [-3, -3]]]], [[9, 8, 6,
5, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 0, 2 < y, 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, 5, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 0, 2 < y, 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, 5, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 0, 2 < y
, 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, 5, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 0, 2 < y,
y^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [0, 0], [3, 3], [3, 3]]]], [[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, 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, 2, 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, 2, 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, 2, 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]]]], [[10, 1, 1, 1, 1], [v = 2^(1/2), u < -2, x < -u^2+1, y <
x-u^2+3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3],
[-9, -9], [-16, -16], [0, 0]]]], [[10, 4, 7, 1, 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], [-1, -1], [0, 0]]]
], [[10, 6, 5, 5, 1], [v = 2^(1/2), u = -v, And(0 < x,x < 1), And(x < y,y < x+
1), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1482911/1048576, -741455/524288], [1/2, 1/2], [1, 1], [-2, -2]]]], [[10, 6, 5,
5, 2], [v = 2^(1/2), u = -v, And(0 < x,x < 1), And(x < y,y < x+1), z = -(y-x)^
(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, 5, 3], [v = 2^(1/2), u = -v, And(0 < x,x < 1), And(x < y,y < x+1),
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [1/2, 1/2], [1, 1], [0,
0]]]], [[10, 6, 5, 5, 4], [v = 2^(1/2), u = -v, And(0 < x,x < 1), And(x < y,y
< x+1), z = (y-x)^(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, 5, 5], [v = 2^(1/2), u = -v, And(0 < x,x < 1), And(x <
y,y < x+1), (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576
], [-1482911/1048576, -741455/524288], [1/2, 1/2], [1, 1], [2, 2]]]], [[10, 12
, 2, 5, 1], [v = 2^(1/2), u = 1, x = -2, 0 < y, z < -(y+2)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-2, -2], [1, 1], [-\
3, -3]]]], [[10, 12, 2, 5, 2], [v = 2^(1/2), u = 1, x = -2, 0 < y, z = -(y+2)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-2, -2], [
1, 1], [-1816187/1048576, -3632373/2097152]]]], [[10, 12, 2, 5, 3], [v = 2^(1/
2), u = 1, x = -2, 0 < y, And(-(y+2)^(1/2) < z,z < (y+2)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-2, -2], [1, 1], [-\
1/4194304, -1/4194304]]]], [[10, 12, 2, 5, 4], [v = 2^(1/2), u = 1, x = -2, 0
< y, z = (y+2)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1,
1], [-2, -2], [1, 1], [908093/524288, 1816187/1048576]]]], [[10, 12, 2, 5, 5],
[v = 2^(1/2), u = 1, x = -2, 0 < y, (y+2)^(1/2) < z], [regular_chain, [[741455
/524288, 1482911/1048576], [1, 1], [-2, -2], [1, 1], [3, 3]]]], [[10, 14, 1, 2
, 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, 2, 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, 2, 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, 7,
1], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), z
< -(y-x)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576],
[-1/2, -1/2], [5/4, 5/4], [-3, -3]]]], [[11, 2, 5, 7, 2], [2^(1/2) < v, u = -(
v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), z = -(y-x)^(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, 7, 3], [2^(1/2) < v,
u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [-1/2, -1/2], [5/4, 5/4], [0, 0]]]], [[11, 2, 5, 7, 4], [2^(1/2) < v
, u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), z = (y-x)^(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, 7, 5], [2^(1/2) < v, u
= -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-1/2, -1/2], [5/
4, 5/4], [3, 3]]]], [[11, 4, 3, 3, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-\
2 < x,x < -1), And(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [
-3315889/1048576, -207243/65536], [-3/2, -3/2], [-3/4, -3/4], [-2, -2]]]], [[
11, 4, 3, 3, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(x <
y,y < 0), z = -(y-x)^(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, 3, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-2 < x,x < -1),
And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-2
< x,x < -1), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-2
< x,x < -1), And(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-\
3315889/1048576, -207243/65536], [-3/2, -3/2], [-3/4, -3/4], [2, 2]]]], [[11,
10, 2, 7, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -3, 0 < y, z < -(y+3)^(1/2
)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-3, -3], [
1, 1], [-3, -3]]]], [[11, 10, 2, 7, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), x =
-3, 0 < y, z = -(y+3)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -\
2774271/1048576], [-3, -3], [1, 1], [-2, -2]]]], [[11, 10, 2, 7, 3], [2^(1/2)
< v, u = -(v^2-2)^(1/2), x = -3, 0 < y, And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))]
, [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-3, -3], [1,
1], [0, 0]]]], [[11, 10, 2, 7, 4], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -3, 0
< y, z = (y+3)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [-3, -3], [1, 1], [2, 2]]]], [[11, 10, 2, 7, 5], [2^(1/2) < v, u = -
(v^2-2)^(1/2), x = -3, 0 < y, (y+3)^(1/2) < z], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [-3, -3], [1, 1], [3, 3]]]], [[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 = -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, 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 = -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, 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 = -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, 6, 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, 6, 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, 8, 1, 1
], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 0, y < 0, z = z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [0, 0], [-1, -1],
[0, 0]]]], [[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 < 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, 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 < 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, 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 < 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, 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 < 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, 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 < u^2-v^2+1), y^(1/2) < z], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [0, 0], [1, 1], [2, 2]]]], [[1, 1, 1, 1, 1], [v
< -2^(1/2), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y < x-u^2+v^2+1, z = z], [
regular_chain, [[-3, -3], [-5, -5], [-18, -18], [-34, -34], [0, 0]]]], [[1, 2,
7, 4, 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, 5, 7, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-1 <
x,x < 0), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-2965821/
1048576, -11863283/4194304], [-1/2, -1/2], [3, 3], [-3, -3]]]], [[1, 8, 5, 7,
2], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), x+2 < y, z = -(y-x)^
(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-1/
2, -1/2], [3, 3], [-7846825/4194304, -980853/524288]]]], [[1, 8, 5, 7, 3], [v
< -2^(1/2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), x+2 < y, And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [-1/2, -1/2], [3, 3], [0, 0]]]], [[1, 8, 5, 7, 4], [v < -2^(1/2), u
= -(v^2-1)^(1/2), And(-1 < x,x < 0), x+2 < y, z = (y-x)^(1/2)], [regular_chain
, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [3, 3], [
980853/524288, 1961707/1048576]]]], [[1, 8, 5, 7, 5], [v < -2^(1/2), u = -(v^2
-1)^(1/2), And(-1 < x,x < 0), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-3,
-3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [3, 3], [3, 3]]]], [
[1, 10, 4, 2, 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, 13, 10, 4, 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], [515539/1048576, 128885/262144], [0,
0]]]], [[1, 15, 9, 7, 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-u^2+v^2+1), z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [3/2
, 3/2], [-2, -2]]]], [[1, 15, 9, 7, 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-u^2+v^2+1), z = -(y-x)^(1/2
)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1/2, 1/2],
[3/2, 3/2], [-1, -1]]]], [[1, 15, 9, 7, 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-u^2+v^2+1), And(-(y-x)^
(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[1, 15, 9, 7, 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-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[1, 15, 9, 7, 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-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[1, 21,
7, 2, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y = x-u^2+v^2+1,
z = z], [regular_chain, [[-3, -3], [5, 5], [1/2, 1/2], [-29/2, -29/2], [0, 0]]
]], [[2, 2, 2, 3, 1], [v = -2^(1/2), u = -2, x = -3, And(-4 < y,y < -3), z = z
], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-3, -3], [-\
7/2, -7/2], [0, 0]]]], [[2, 9, 10, 7, 1], [v = -2^(1/2), And(-1 < u,u < 0), x
= 1, And(1 < y,y < -u^2+4), 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, 7, 2], [v = -2^(1/2), And(-1 < u,u < 0), x = 1, And(1 < y,y < -u^2+4)
, 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, 7, 3], [v = -2^(1/2), And(-1 < u,u < 0), x = 1, And(1 < y,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], [19/8, 19/8], [0, 0]]]], [[2, 9, 10, 7,
4], [v = -2^(1/2), And(-1 < u,u < 0), x = 1, And(1 < y,y < -u^2+4), 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, 7, 5], [v =
-2^(1/2), And(-1 < u,u < 0), x = 1, And(1 < y,y < -u^2+4), (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, 8, 1, 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], [-1, -1], [0, 0]]]], [[2, 17, 7, 5, 1], [v = -2^(1/2), 
And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), And(0 < y,y < x), 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 < -(u
^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1
, -1], [7, 7], [-4, -4]]]], [[2, 19, 4, 8, 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, 8, 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, 8, 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, 8, 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, 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 < 0,
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [775271/1048576, 775271/1048576], [-1, -1], [0, 0
]]]], [[3, 5, 8, 2, 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, 2, 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, 2, 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, 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 = 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], [225185/1048576, 112593/524288], [-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 = 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], [225185/1048576, 112593/524288], [-1374407/2097152, -\
687203/1048576]]]], [[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 = u^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], [225185/1048576, 112593/524288], [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 = 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], [225185/1048576, 112593/524288], [687203/1048576, 171801/262144]]]]
, [[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 = 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], [225185/1048576, 112593/524288],
[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 < u^2-v^2+1), z < -y^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [0, 0], [1, 1], [-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 < u^
2-v^2+1), z = -y^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [1454701/1048576, 1454701/1048576], [0, 0], [1, 1], [-1, -1]]]], [[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 < 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], [1, 1], [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 < u^2-v^2+1), z = y^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [0, 0], [1, 1], [1, 1]]]], [[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 < u^2-
v^2+1), y^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [0, 0], [1, 1], [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, u^2-v^2+1
< y, z < -y^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [0, 0], [3, 3], [-3, -3]]]], [[3, 13, 8, 7,
2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 0, u^2-v^2+1
< y, 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, 7, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^
2+1)^(1/2)), x = 0, u^2-v^2+1 < y, 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, 7,
4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 0, u^2-v^2+1
< y, 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, 7, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2
+1)^(1/2)), x = 0, u^2-v^2+1 < y, y^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [0, 0], [3, 3]
, [3, 3]]]], [[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 < 0, z = z], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [898327/524288, 898327/524288], [501965/1048576,
250983/524288], [-1, -1], [0, 0]]]], [[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-u^2+2, z = z], [regular_chain, [[
-1, -1], [-6598195/4194304, -6598195/4194304], [1546383/2097152, 1546383/
2097152], [275385/1048576, 137693/524288], [0, 0]]]], [[4, 5, 8, 5, 1], [v = -\
1, And(-2^(1/2) < u,u < -1), x = 0, And(-u^2+2 < y,y < u^2), z < -y^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [0, 0], [1, 1]
, [-2, -2]]]], [[4, 5, 8, 5, 2], [v = -1, And(-2^(1/2) < u,u < -1), x = 0, And
(-u^2+2 < y,y < u^2), z = -y^(1/2)], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [0, 0], [1, 1], [-1, -1]]]], [[4, 5, 8, 5, 3], [v
= -1, And(-2^(1/2) < 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], [-1265743/1048576, -1265743/
1048576], [0, 0], [1, 1], [0, 0]]]], [[4, 5, 8, 5, 4], [v = -1, And(-2^(1/2) <
u,u < -1), x = 0, And(-u^2+2 < y,y < u^2), z = y^(1/2)], [regular_chain, [[-1,
-1], [-1265743/1048576, -1265743/1048576], [0, 0], [1, 1], [1, 1]]]], [[4, 5,
8, 5, 5], [v = -1, And(-2^(1/2) < u,u < -1), x = 0, And(-u^2+2 < y,y < u^2), y
^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576],
[0, 0], [1, 1], [2, 2]]]], [[4, 9, 9, 1, 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],
[-1, -1], [0, 0]]]], [[4, 11, 9, 9, 1], [v = -1, And(1 < u,u < 2^(1/2)), And(0
< x,x < 1), u^2+x < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [1/2, 1/2], [3, 3], [-3, -3]]]], [[4, 11, 9, 9, 2],
[v = -1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), u^2+x < y, z = -(y-x)^(1/2)
], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1/2, 1/2],
[3, 3], [-3315889/2097152, -207243/131072]]]], [[4, 11, 9, 9, 3], [v = -1, And
(1 < u,u < 2^(1/2)), And(0 < x,x < 1), u^2+x < y, And(-(y-x)^(1/2) < z,z < (y-
x)^(1/2))], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1/
2, 1/2], [3, 3], [0, 0]]]], [[4, 11, 9, 9, 4], [v = -1, And(1 < u,u < 2^(1/2))
, And(0 < x,x < 1), u^2+x < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [1/2, 1/2], [3, 3], [207243/131072, 1657945
/1048576]]]], [[4, 11, 9, 9, 5], [v = -1, And(1 < u,u < 2^(1/2)), And(0 < x,x
< 1), u^2+x < y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/1048576
, 1265743/1048576], [1/2, 1/2], [3, 3], [3, 3]]]], [[5, 2, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 10, 4, 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], [
562533/1048576, 281267/524288], [0, 0]]]], [[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, u^2-v^2+2 < y, z < -(y-1)
^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [1, 1]
, [5, 5], [-3, -3]]]], [[5, 11, 10, 9, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/
2) < u,u < (v^2+2)^(1/2)), x = 1, u^2-v^2+2 < y, z = -(y-1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [1, 1], [5, 5],
[-2, -2]]]], [[5, 11, 10, 9, 3], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), x = 1, u^2-v^2+2 < y, 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, 9, 4], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (
v^2+2)^(1/2)), x = 1, u^2-v^2+2 < y, z = (y-1)^(1/2)], [regular_chain, [[-1/2,
-1/2], [343151/262144, 343151/262144], [1, 1], [5, 5], [2, 2]]]], [[5, 11, 10,
9, 5], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, u^
2-v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [343151/262144,
343151/262144], [1, 1], [5, 5], [3, 3]]]], [[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 < 0), z = z], [
regular_chain, [[-1/2, -1/2], [3, 3], [1, 1], [-27/8, -27/8], [0, 0]]]], [[6,
5, 11, 4, 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, 4, 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, 4, 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, 3, 1], [v = 0, u = 1, x < -2, And(x < y,y < x+2), z < -(y-x)^
(1/2)], [regular_chain, [[0, 0], [1, 1], [-3, -3], [-2, -2], [-2, -2]]]], [[6,
8, 1, 3, 2], [v = 0, u = 1, x < -2, And(x < y,y < x+2), z = -(y-x)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-3, -3], [-2, -2], [-1, -1]]]], [[6, 8, 1, 3,
3], [v = 0, u = 1, x < -2, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^
(1/2))], [regular_chain, [[0, 0], [1, 1], [-3, -3], [-2, -2], [0, 0]]]], [[6,
8, 1, 3, 4], [v = 0, u = 1, x < -2, And(x < y,y < x+2), z = (y-x)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-3, -3], [-2, -2], [1, 1]]]], [[6, 8, 1, 3, 5
], [v = 0, u = 1, x < -2, And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain
, [[0, 0], [1, 1], [-3, -3], [-2, -2], [2, 2]]]], [[6, 11, 9, 1, 1], [v = 0, 2
^(1/2) < u, And(1 < x,x < u^2-1), y < x-u^2+1, z = z], [regular_chain, [[0, 0]
, [3, 3], [9/2, 9/2], [-5, -5], [0, 0]]]], [[7, 2, 4, 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, 4, 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, 4, 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, 8, 2, 3, 1], [And(0 < v,v < 1),
u = v, x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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+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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/
2), x = -1, And(-1 < y,y < 0), z < -(y+1)^(1/2)], [regular_chain, [[1/2, 1/2],
[1172343/1048576, 146543/131072], [-1, -1], [-1/2, -1/2], [-2, -2]]]], [[7, 10
, 4, 3, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), z
= -(y+1)^(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,
3, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), And(-(
y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(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, 3, 5], [And(0 < v,
v < 1), u = (v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), (y+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-1, -1], [-1/2,
-1/2], [2, 2]]]], [[7, 12, 2, 3, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x =
-3, And(-4 < y,y < -3), z = z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-3,
-3], [-7/2, -7/2], [0, 0]]]], [[8, 4, 4, 5, 1], [v = 1, u = -2^(1/2), x = -1,
And(0 < y,y < 1), z < -(y+1)^(1/2)], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [-1, -1], [1/2, 1/2], [-3, -3]]]], [[8, 4, 4, 5, 2],
[v = 1, u = -2^(1/2), x = -1, And(0 < y,y < 1), z = -(y+1)^(1/2)], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-1, -1], [1/2, 1/
2], [-1284239/1048576, -642119/524288]]]], [[8, 4, 4, 5, 3], [v = 1, u = -2^(1
/2), x = -1, And(0 < y,y < 1), And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [-1, -1], [1/2, 1/2], [642119/524288, 1284239/1048576]]]], [[8, 4, 4,
5, 5], [v = 1, u = -2^(1/2), x = -1, And(0 < y,y < 1), (y+1)^(1/2) < z], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-1, -1], [1/2, 1/
2], [3, 3]]]], [[8, 6, 3, 2, 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, 2, 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, 2, 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, 4, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 1, 1], [v = 1, u = 2^(1/2), And(-1
< x,x < 0), y < x, z = z], [regular_chain, [[1, 1], [741455/524288, 1482911/
1048576], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[9, 2, 7, 5, 1], [And(1 < v,v <
2^(1/2)), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(0 < y,y < 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, 5, 3, 1], [And(1
< v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z <
-(y-x)^(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,
3, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(x <
y,y < 0), z = -(y-x)^(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, 3, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), 
And(-1 < x,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [And(1 < v,
v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z = (y-
x)^(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, 3, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(
x < y,y < 0), (y-x)^(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, 5, 2, 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, 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 = 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, 8, 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, 8, 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, 8, 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, 8, 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, 6, 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,
6, 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, 6, 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, 6, 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, 6, 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, 7, 3
, 1], [v = 2^(1/2), u = -1, And(0 < x,x < 1), And(0 < y,y < x), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2], [1/4,
1/4], [0, 0]]]], [[10, 10, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 2, 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
, 2, 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, 2, 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, 18, 1, 4, 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, 4, 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, 4, 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, 2, 1, 1], [v = 2^(1/2), u = 2, x = -3, y < -4, z = z
], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-3, -3], [-5, -\
5], [0, 0]]]], [[10, 19, 9, 9, 1], [v = 2^(1/2), 2 < u, And(1 < x,x < u^2-3),
u^2+x-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [7/2, 7/2], [13, 13], [-5, -5]]]], [[10, 19, 9, 9, 2], [v =
2^(1/2), 2 < u, And(1 < x,x < u^2-3), u^2+x-1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7/2, 7/2], [13, 13]
, [-3231929/1048576, -403991/131072]]]], [[10, 19, 9, 9, 3], [v = 2^(1/2), 2 <
u, And(1 < x,x < u^2-3), u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7/2, 7/2], [13, 13
], [0, 0]]]], [[10, 19, 9, 9, 4], [v = 2^(1/2), 2 < u, And(1 < x,x < u^2-3), u
^2+x-1 < y, z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [3, 3], [7/2, 7/2], [13, 13], [403991/131072, 3231929/1048576]]]], [[10, 19
, 9, 9, 5], [v = 2^(1/2), 2 < u, And(1 < x,x < u^2-3), u^2+x-1 < y, (y-x)^(1/2
) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7/2, 7/2],
[13, 13], [5, 5]]]], [[11, 6, 3, 2, 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, 2, 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, 2, 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, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 = u^2-v^2+x+1, z = z], [regular_chain, [[3, 3], [0, 0], [9, 9], [1, 1], [
0, 0]]]], [[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(0 < y,y < -u^2+v^2-1), z = z], [regular_chain, [[3
, 3], [1435023/524288, 1435023/524288], [133259/262144, 533037/1048576], [
133259/524288, 133259/524288], [0, 0]]]], [[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], [129511/262144, 518045/1048576], [-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], [129511/262144, 518045/1048576], [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], [129511/262144, 518045/
1048576], [1, 1]]]], [[11, 21, 5, 3, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(
-1 < x,x < 0), And(x-u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[3, 3], [5
, 5], [-1/2, -1/2], [-8, -8], [0, 0]]]], [[1, 4, 5, 7, 1], [v < -2^(1/2), u =
-(v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, z < -(y-x)^(1/2)], [regular_chain,
[[-3, -3], [-3315889/1048576, -207243/65536], [-1/2, -1/2], [3, 3], [-3, -3]]]
], [[1, 4, 5, 7, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), x+2
< y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/
65536], [-1/2, -1/2], [3, 3], [-7846825/4194304, -980853/524288]]]], [[1, 4, 5
, 7, 3], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, And(-(
y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-3315889/1048576
, -207243/65536], [-1/2, -1/2], [3, 3], [0, 0]]]], [[1, 4, 5, 7, 4], [v < -2^(
1/2), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-1/2, -1/2], [3,
3], [980853/524288, 1961707/1048576]]]], [[1, 4, 5, 7, 5], [v < -2^(1/2), u =
-(v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, (y-x)^(1/2) < z], [regular_chain,
[[-3, -3], [-3315889/1048576, -207243/65536], [-1/2, -1/2], [3, 3], [3, 3]]]],
[[1, 6, 4, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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,
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), x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [1581613/2097152, 1581613/2097152], [5, 5], [
-4, -4]]]], [[1, 13, 9, 9, 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), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1581613/2097152,
1581613/2097152], [5, 5], [-1080317/524288, -2160633/1048576]]]], [[1, 13, 9,
9, 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), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1581613/2097152,
1581613/2097152], [5, 5], [0, 0]]]], [[1, 13, 9, 9, 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), x-u^2+v^2+1 < y,
z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288],
[1581613/2097152, 1581613/2097152], [5, 5], [2160633/1048576, 1080317/524288]]
]], [[1, 13, 9, 9, 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), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain
, [[-3, -3], [1435023/524288, 1435023/524288], [1581613/2097152, 1581613/
2097152], [5, 5], [4, 4]]]], [[1, 17, 10, 7, 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, 7, 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,
7, 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, 7
, 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, 7, 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, 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], [1566621/2097152, 1566621/2097152]
, [391655/524288, 783311/1048576], [-1, -1]]]], [[1, 19, 9, 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], [
1566621/2097152, 1566621/2097152], [391655/524288, 783311/1048576], [0, 0]]]],
[[1, 19, 9, 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], [1566621/2097152, 1566621/2097152], [391655/524288,
783311/1048576], [1, 1]]]], [[2, 3, 11, 2, 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, 10, 1, 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], [-1, -1], [0, 0]]]], [[2, 5, 10, 6, 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], [1599345/1048576, 799673/524288], [-2, -2]]]], [[2,
5, 10, 6, 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], [1599345/1048576, 799673/524288],
[-379975/524288, -1519899/2097152]]]], [[2, 5, 10, 6, 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], [1599345/1048576, 799673/524288], [-1/4194304, -1/
4194304]]]], [[2, 5, 10, 6, 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], [1599345/1048576, 
799673/524288], [759949/1048576, 379975/524288]]]], [[2, 5, 10, 6, 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], [1599345/1048576, 799673/524288], [2, 2]]]], [[2, 7,
11, 1, 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], [-1, -1], [0, 0]]]], [[2, 13, 7, 6, 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], [239655/1048576, 29957/131072],
[-2, -2]]]], [[2, 13, 7, 6, 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], [239655/1048576, 29957/131072], [-1417877/2097152, -354469/
524288]]]], [[2, 13, 7, 6, 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], [239655/1048576, 29957/131072],
[0, 0]]]], [[2, 13, 7, 6, 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], [239655/1048576, 29957/131072], [354469/524288, 708939/1048576]]]],
[[2, 13, 7, 6, 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
], [239655/1048576, 29957/131072], [2, 2]]]], [[2, 15, 8, 1, 1], [v = -2^(1/2)
, And(-v < u,u < 3^(1/2)), x = 0, y < 0, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [0, 0], [-1, -1]
, [0, 0]]]], [[2, 19, 5, 3, 1], [v = -2^(1/2), 2 < u, And(-1 < x,x < 0), And(x
-u^2+3 < y,y < x), z = z], [regular_chain, [[-1482911/1048576, -741455/524288]
, [3, 3], [-1/2, -1/2], [-7/2, -7/2], [0, 0]]]], [[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 = 0, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [8, 8], [0, 0]
, [0, 0]]]], [[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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1/2, 1/2], [749473/1048576, 749473/1048576], [-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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [
1/2, 1/2], [749473/1048576, 749473/1048576], [-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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x
)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [1/2, 1/2], [749473/1048576, 749473/1048576], [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(x < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1/2, 1/2], [749473/1048576, 749473/1048576], [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(x < y,y < u^2-v^2+x+1), (y-x)^(
1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [1/2, 1/2], [749473/1048576, 749473/1048576], [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 = 0, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [239655/524288, 479311/1048576], [0, 0], [
0, 0]]]], [[3, 17, 5, 7, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And
(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [3, 3], [-1/2, -1/2], [8433585/2097152,
8433585/2097152], [-4, -4]]]], [[3, 17, 5, 7, 2], [And(-2^(1/2) < v,v < -1), (
v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 7, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-1 < x,
x < 0), And(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1/2, -1/2], [
8433585/2097152, 8433585/2097152], [0, 0]]]], [[3, 17, 5, 7, 4], [And(-2^(1/2)
< v,v < -1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1),
z = (y-x)^(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, 7, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, 
And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1/2, -1/2], [
8433585/2097152, 8433585/2097152], [4, 4]]]], [[4, 1, 11, 6, 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, 6, 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, 6, 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, 7, 1
], [v = -1, And(-1 < u,u < 0), And(0 < x,x < 1), And(u^2+x < y,y < x-u^2+2), z
< -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [1/2, 1/2], [3/2, 3/
2], [-2, -2]]]], [[4, 7, 9, 7, 2], [v = -1, And(-1 < u,u < 0), And(0 < x,x < 1
), And(u^2+x < y,y < x-u^2+2), z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [
-1/2, -1/2], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]], [[4, 7, 9, 7, 3], [v = -1, 
And(-1 < u,u < 0), And(0 < x,x < 1), And(u^2+x < y,y < x-u^2+2), And(-(y-x)^(1
/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [1/2, 1/2]
, [3/2, 3/2], [0, 0]]]], [[4, 7, 9, 7, 4], [v = -1, And(-1 < u,u < 0), And(0 <
x,x < 1), And(u^2+x < y,y < x-u^2+2), z = (y-x)^(1/2)], [regular_chain, [[-1,
-1], [-1/2, -1/2], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[4, 7, 9, 7, 5], [v = -\
1, And(-1 < u,u < 0), And(0 < x,x < 1), And(u^2+x < y,y < x-u^2+2), (y-x)^(1/2
) < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [1/2, 1/2], [3/2, 3/2], [2, 2
]]]], [[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 = x, z < 0], [regular_chain, [[-1, -1], [3299097/
2097152, 3299097/2097152], [773191/1048576, 773191/1048576], [773191/1048576,
773191/1048576], [-1, -1]]]], [[4, 13, 9, 6, 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, 6, 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, 3, 1], [v = -1, 3^(1/2
) < u, x = 0, And(-u^2+2 < y,y < 0), z = z], [regular_chain, [[-1, -1], [3, 3]
, [0, 0], [-7/2, -7/2], [0, 0]]]], [[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 = 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], [1997021/1048576, 998511/524288], [-3, -3]]]], [[5, 5, 9, 8, 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], [1997021/1048576, 998511/524288], [-\
19417/16384, -1242687/1048576]]]], [[5, 5, 9, 8, 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], [1997021/1048576, 998511/524288], [0,
0]]]], [[5, 5, 9, 8, 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], [1997021/1048576
, 998511/524288], [1242687/1048576, 19417/16384]]]], [[5, 5, 9, 8, 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], [1997021/1048576, 998511/524288], [3, 3]]]], [[5
, 7, 10, 3, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x = 1, And(0 < y,y < 1)
, z = z], [regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [1/2, 1/2], [0, 0]]]]
, [[5, 7, 11, 1, 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], [-1, -1], [0, 0]]]], [[5, 9
, 11, 5, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(x <
y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631
/2097152, 1696631/2097152], [2, 2], [2409361/1048576, 2409361/1048576], [-2, -\
2]]]], [[5, 9, 11, 5, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), 1
< x, And(x < y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[-1/2, -1
/2], [1696631/2097152, 1696631/2097152], [2, 2], [2409361/1048576, 2409361/
1048576], [-572167/1048576, -1144333/2097152]]]], [[5, 9, 11, 5, 3], [And(-1 <
v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(x < y,y < x-u^2+v^2+1), 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [2, 2], [2409361/1048576, 2409361/1048576],
[-1/4194304, -1/4194304]]]], [[5, 9, 11, 5, 4], [And(-1 < v,v < 0), And(-v < u
,u < (v^2+1)^(1/2)), 1 < x, And(x < y,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [2, 2], [
2409361/1048576, 2409361/1048576], [286083/524288, 572167/1048576]]]], [[5, 9,
11, 5, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(x < y
,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [2, 2], [2409361/1048576, 2409361/1048576], [2, 2]]
]], [[6, 2, 3, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 7, 1], [v = 0, And(-2^(1/2) < u,u < -\
1), 1 < x, And(x < y,y < u^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[0, 0],
[-1265743/1048576, -1265743/1048576], [2, 2], [3385383/1048576, 3385383/
1048576], [-3, -3]]]], [[6, 3, 11, 7, 2], [v = 0, And(-2^(1/2) < u,u < -1), 1
< x, And(x < y,y < u^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [2, 2], [3385383/1048576, 3385383/1048576]
, [-1162243/1048576, -581121/524288]]]], [[6, 3, 11, 7, 3], [v = 0, And(-2^(1/
2) < u,u < -1), 1 < x, And(x < y,y < u^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^
(1/2))], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [2, 2]
, [3385383/1048576, 3385383/1048576], [0, 0]]]], [[6, 3, 11, 7, 4], [v = 0, 
And(-2^(1/2) < u,u < -1), 1 < x, And(x < y,y < u^2+x+1), z = (y-x)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [2, 2], [3385383
/1048576, 3385383/1048576], [581121/524288, 1162243/1048576]]]], [[6, 3, 11, 7
, 5], [v = 0, And(-2^(1/2) < u,u < -1), 1 < x, And(x < y,y < u^2+x+1), (y-x)^(
1/2) < z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [2,
2], [3385383/1048576, 3385383/1048576], [3, 3]]]], [[6, 8, 1, 7, 1], [v = 0, u
= 1, x < -2, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3, -\
3], [1, 1], [-3, -3]]]], [[6, 8, 1, 7, 2], [v = 0, u = 1, x < -2, 0 < y, z = -
(y-x)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3, -3], [1, 1], [-2, -2]]]],
[[6, 8, 1, 7, 3], [v = 0, u = 1, x < -2, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[0, 0], [1, 1], [-3, -3], [1, 1], [0, 0]]]], [[6, 8
, 1, 7, 4], [v = 0, u = 1, x < -2, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[
0, 0], [1, 1], [-3, -3], [1, 1], [2, 2]]]], [[6, 8, 1, 7, 5], [v = 0, u = 1, x
< -2, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [-3, -3], [1,
1], [3, 3]]]], [[6, 9, 11, 6, 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, 6, 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, 6, 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, 2, 2, 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, 2, 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, 2, 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, 5, 11, 8, 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], [3569885/1048576, 1784943/
524288], [-3, -3]]]], [[7, 5, 11, 8, 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], [3569885/1048576, 
1784943/524288], [-19417/16384, -1242687/1048576]]]], [[7, 5, 11, 8, 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], [3569885/1048576, 1784943/524288],
[0, 0]]]], [[7, 5, 11, 8, 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], [3569885/1048576, 1784943/
524288], [1242687/1048576, 19417/16384]]]], [[7, 5, 11, 8, 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
], [3569885/1048576, 1784943/524288], [3, 3]]]], [[7, 13, 10, 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 < -(y-u^2+v^2+1
)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [31/4, 31/4], [19, 19], [-5, -5
]]]], [[7, 13, 10, 7, 2], [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 = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3
], [31/4, 31/4], [19, 19], [-3517031/1048576, -1758515/524288]]]], [[7, 13, 10
, 7, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = u^2-v^2-1, 2*u^2-2*v^2 < y,
And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[1/2,
1/2], [3, 3], [31/4, 31/4], [19, 19], [0, 0]]]], [[7, 13, 10, 7, 4], [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 = (y-u^2+v^2+1)
^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [31/4, 31/4], [19, 19], [1758515
/524288, 3517031/1048576]]]], [[7, 13, 10, 7, 5], [And(0 < v,v < 1), (v^2+2)^(
1/2) < u, x = u^2-v^2-1, 2*u^2-2*v^2 < y, (y-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [3, 3], [31/4, 31/4], [19, 19], [5, 5]]]], [[8, 2,
6, 1, 1], [v = 1, u = -3^(1/2), x = 0, y < -1, z = z], [regular_chain, [[1, 1]
, [-1816187/1048576, -3632373/2097152], [0, 0], [-2, -2], [0, 0]]]], [[8, 8, 4
, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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,
7, 1], [v = 1, u = 1, And(-1 < x,x < 0), x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [1, 1], [-1/2, -1/2], [2, 2], [-3, -3]]]], [[8, 10, 3,
7, 2], [v = 1, u = 1, And(-1 < x,x < 0), x+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[1, 1], [1, 1], [-1/2, -1/2], [2, 2], [-3315889/2097152, -\
207243/131072]]]], [[8, 10, 3, 7, 3], [v = 1, u = 1, And(-1 < x,x < 0), x+1 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [1, 1], [-\
1/2, -1/2], [2, 2], [0, 0]]]], [[8, 10, 3, 7, 4], [v = 1, u = 1, And(-1 < x,x
< 0), x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [1, 1], [-1/2, -1/2]
, [2, 2], [207243/131072, 1657945/1048576]]]], [[8, 10, 3, 7, 5], [v = 1, u =
1, And(-1 < x,x < 0), x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [1,
1], [-1/2, -1/2], [2, 2], [3, 3]]]], [[8, 14, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 1], [v
= 1, 3^(1/2) < u, u^2-2 < x, u^2+x < y, z < -(y-x)^(1/2)], [regular_chain, [[1
, 1], [3, 3], [8, 8], [18, 18], [-5, -5]]]], [[8, 15, 11, 9, 2], [v = 1, 3^(1/
2) < u, u^2-2 < x, u^2+x < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [3,
3], [8, 8], [18, 18], [-3315889/1048576, -207243/65536]]]], [[8, 15, 11, 9, 3]
, [v = 1, 3^(1/2) < u, u^2-2 < x, u^2+x < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1
/2))], [regular_chain, [[1, 1], [3, 3], [8, 8], [18, 18], [0, 0]]]], [[8, 15,
11, 9, 4], [v = 1, 3^(1/2) < u, u^2-2 < x, u^2+x < y, z = (y-x)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [8, 8], [18, 18], [207243/65536, 3315889/
1048576]]]], [[8, 15, 11, 9, 5], [v = 1, 3^(1/2) < u, u^2-2 < x, u^2+x < y, (y
-x)^(1/2) < z], [regular_chain, [[1, 1], [3, 3], [8, 8], [18, 18], [5, 5]]]],
[[9, 6, 5, 2, 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, 6, 1, 1], [And(1 < v
,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 0, y < 0, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [0, 0],
[-1, -1], [0, 0]]]], [[9, 8, 6, 2, 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,
2, 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, 2, 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, 3, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-1 < x,x
< 0), And(x < y,y < 0), z < -(y-x)^(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, 3, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), 
And(-1 < x,x < 0), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [And(1 < v,v < 2^(1/2)),
u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z
< (y-x)^(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, 3,
4], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y
< 0), z = (y-x)^(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, 3, 5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-1 < x,x < 0),
And(x < y,y < 0), (y-x)^(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, 1, 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], [-3, -3], [0, 0]]]], [[10, 1, 1, 4, 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, 4, 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,
4, 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, 6, 3, 1], [v = 2^(1/2), u = -3^(1/2), x = 0, And(0 < y,y < 2), 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(0 < y,y < 2), 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
(0 < y,y < 2), 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(0 < y,y < 2),
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(0 < y,y < 2), 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 = x+1, 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, 6, 2], [v = 2^(1/2), u = -v, And(0 < x,x < 1), y = x+1, 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, 6, 3], [v = 2^(1/2),
u = -v, And(0 < x,x < 1), y = x+1, 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, 6, 4], [v = 2^(1/2), u = -v, And(0 < x,x
< 1), y = x+1, 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, 6, 5], [v = 2^(1/2), u = -v, And(0 < x,x < 1), y = x+1, 1 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[10, 12, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 14, 1, 5, 1], [v
= 2^(1/2), u = v, x < -1, And(x+1 < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-2, -2], [-1/2, -1/2], [-3, -3]]]], [[10, 14, 1, 5, 2], [v = 2^(1/2
), u = v, x < -1, And(x+1 < y,y < 0), z = -(y-x)^(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, 5, 3], [v = 2
^(1/2), u = v, x < -1, And(x+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 
1482911/1048576], [-2, -2], [-1/2, -1/2], [0, 0]]]], [[10, 14, 1, 5, 4], [v =
2^(1/2), u = v, x < -1, And(x+1 < y,y < 0), z = (y-x)^(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, 5, 5], [v = 2^
(1/2), u = v, x < -1, And(x+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-2, -2], [
-1/2, -1/2], [3, 3]]]], [[11, 2, 5, 6, 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, 6,
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, 6, 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, 6, 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, 6, 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, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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, -2*u^2+2*v^2 < y, z < -(u^2-v^2+y+1)^(1/2)], [regular_chain, [[3, 3], [0
, 0], [8, 8], [19, 19], [-5, -5]]]], [[11, 11, 10, 7, 2], [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 = -(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, 7, 3], [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, 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, 7, 4], [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 = (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, 7, 5], [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, (u^2-v^2+y+1)^(
1/2) < z], [regular_chain, [[3, 3], [0, 0], [8, 8], [19, 19], [5, 5]]]], [[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-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [3, 3], [-3, -3
]]]], [[11, 15, 7, 9, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-u^2
+v^2-1 < x,x < 0), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3]
, [6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [3,
3], [-1889277/1048576, -7557107/4194304]]]], [[11, 15, 7, 9, 3], [2^(1/2) < v,
And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), x-u^2+v^2+1 < y, And(
-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152,
6111549/2097152], [-516571/2097152, -516571/2097152], [3, 3], [-3/8388608, -3/
8388608]]]], [[11, 15, 7, 9, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 
And(-u^2+v^2-1 < x,x < 0), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [regular_chain,
[[3, 3], [6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152
], [3, 3], [472319/262144, 1889277/1048576]]]], [[11, 15, 7, 9, 5], [2^(1/2) <
v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), x-u^2+v^2+1 < y, (
y-x)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152],
[-516571/2097152, -516571/2097152], [3, 3], [3, 3]]]], [[11, 17, 9, 1, 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], [-1, -1],
[0, 0]]]], [[1, 1, 1, 2, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x < -u^2+v^2-1
, y = x-u^2+v^2+1, z = z], [regular_chain, [[-3, -3], [-5, -5], [-18, -18], [-\
33, -33], [0, 0]]]], [[1, 2, 7, 1, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(
0 < x,x < 1), y < x-1, z = z], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [1/2, 1/2], [-2, -2], [0, 0]]]], [[1, 8, 6, 3, 1], [v < -2^(
1/2), u = -(v^2-1)^(1/2), x = 0, And(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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 = z], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1, -1], [-3,
-3], [0, 0]]]], [[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(u^2-v^2+2 < y,y < 1), 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 = x, z < 0], [regular_chain, [[-3, -3], [6111549/2097152,
6111549/2097152], [1/2, 1/2], [1/2, 1/2], [-1, -1]]]], [[1, 15, 9, 4, 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, 4, 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, 5, 1
], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(0 < y,y < x), 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 = -4, z = z], [regular_chain, [[
-1482911/1048576, -741455/524288], [-2, -2], [-3, -3], [-4, -4], [0, 0]]]], [[
2, 9, 10, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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,
7, 1], [v = -2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), And(x < y,y < x
-u^2+3), z < -(y-x)^(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, 7, 2], [v = -2
^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), And(x < y,y < x-u^2+3), z = -
(y-x)^(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, 7,
3], [v = -2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), And(x < y,y < x-u^
2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 4], [v = -2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), And(x <
y,y < x-u^2+3), z = (y-x)^(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, 7, 5], [v = -2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1),
And(x < y,y < x-u^2+3), (y-x)^(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, 8,
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], [356919/
131072, 2855353/1048576], [-3, -3]]]], [[2, 17, 7, 8, 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], [356919/131072, 2855353/1048576],
[-825991/524288, -3303963/2097152]]]], [[2, 17, 7, 8, 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], [356919/
131072, 2855353/1048576], [-1/4194304, -1/4194304]]]], [[2, 17, 7, 8, 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], [356919/131072, 
2855353/1048576], [1651981/1048576, 825991/524288]]]], [[2, 17, 7, 8, 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], [356919/131072, 
2855353/1048576], [3, 3]]]], [[2, 19, 4, 7, 1], [v = -2^(1/2), 2 < u, x = -1,
And(0 < y,y < u^2-2), z < -(y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [-1, -1], [7/2, 7/2], [-4, -4]]]], [[2, 19, 4, 7, 2],
[v = -2^(1/2), 2 < u, x = -1, And(0 < y,y < u^2-2), z = -(y+1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1, -1], [7/2, 7/
2], [-1112183/524288, -2224365/1048576]]]], [[2, 19, 4, 7, 3], [v = -2^(1/2),
2 < u, x = -1, And(0 < y,y < u^2-2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1, -1], [7/2, 7/
2], [0, 0]]]], [[2, 19, 4, 7, 4], [v = -2^(1/2), 2 < u, x = -1, And(0 < y,y <
u^2-2), z = (y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[3, 3], [-1, -1], [7/2, 7/2], [2224365/1048576, 1112183/524288]]]], [[2, 19, 4
, 7, 5], [v = -2^(1/2), 2 < u, x = -1, And(0 < y,y < u^2-2), (y+1)^(1/2) < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1, -1], [7/2, 7
/2], [4, 4]]]], [[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 = 0, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [775271/1048576, 775271/1048576], [0, 0], [0, 0]]]], [[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 = 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], [1259643/1048576, 314911/262144], [-3, -3]]]
], [[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 = 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], [1259643/1048576, 314911
/262144], [-1270261/1048576, -317565/262144]]]], [[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 = u
^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], [1259643/1048576, 314911/262144], [0, 0]]]
], [[3, 5, 7, 8, 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], [1259643/1048576, 314911
/262144], [317565/262144, 1270261/1048576]]]], [[3, 5, 7, 8, 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], [1259643/1048576, 314911/262144], [3, 3]]]], [[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-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-450371/2097152, -450371/
2097152], [3, 3], [-3, -3]]]], [[3, 11, 7, 9, 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), x-u^2+v^2+1 < y, z =
-(y-x)^(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, 9, 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), x-u^2+v^2+1 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9, 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), x-u^
2+v^2+1 < y, z = (y-x)^(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, 9, 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), x-u^2
+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-450371/2097152, -450371/2097152]
, [3, 3], [3, 3]]]], [[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], [139585/262144, 558341/1048576], [-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], [139585/262144,
558341/1048576], [-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]
, [139585/262144, 558341/1048576], [-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], [139585/262144, 558341/
1048576], [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], [139585/262144, 558341/1048576], [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(0 < y,y < x), z = z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [1/4, 1/4
], [0, 0]]]], [[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 < -(y-x)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288,
898327/524288], [501965/2097152, 501965/2097152], [4, 4], [-3, -3]]]], [[3, 15
, 7, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-v^2+x+1 < y, And(
-(y-x)^(1/2) < z,z < (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [501965/2097152, 
501965/2097152], [4, 4], [3, 3]]]], [[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-u^2+2 < y,y < x), z = z], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [1546383/
2097152, 1546383/2097152], [1048577/2097152, 1048577/2097152], [0, 0]]]], [[4,
5, 8, 2, 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, 2, 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, 2, 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, 4, 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, 4, 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, 4, 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, 9, 8, 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], [1026087/524288, 2052175/1048576], [-3,
-3]]]], [[4, 11, 9, 8, 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], [1026087/524288, 2052175/1048576], [-1265743/1048576, -\
1265743/1048576]]]], [[4, 11, 9, 8, 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], [1026087/524288, 2052175/1048576], [0,
0]]]], [[4, 11, 9, 8, 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], [1026087/524288, 2052175/1048576], [1265743/1048576, 1265743/
1048576]]]], [[4, 11, 9, 8, 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], [1026087/524288, 2052175/1048576], [3, 3]]]], [[5, 2, 1,
9, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x < -3, 0 < y, z < -(y-x)^(1/2)
], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-4, -4], [1, 1], [-4, -4]]]],
[[5, 2, 1, 9, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x < -3, 0 < y, z = -
(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-4, -4], [1, 1], [
-146543/65536, -2344687/1048576]]]], [[5, 2, 1, 9, 3], [And(-1 < v,v < 0), u =
-(v^2+2)^(1/2), x < -3, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-4, -4], [1, 1], [0, 0]]]], [[5,
2, 1, 9, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x < -3, 0 < y, z = (y-x)^
(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-4, -4], [1, 1], [
2344687/1048576, 146543/65536]]]], [[5, 2, 1, 9, 5], [And(-1 < v,v < 0), u = -
(v^2+2)^(1/2), x < -3, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2],
[-3/2, -3/2], [-4, -4], [1, 1], [4, 4]]]], [[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 < 0, z = z], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [1, 1], [-1, -\
1], [0, 0]]]], [[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(0 < y,y < x-u^2+v^2+1), z = z], [regular_chain, [
[-1/2, -1/2], [343151/262144, 343151/262144], [2, 2], [1611109/2097152, 
1611109/2097152], [0, 0]]]], [[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 = z], [regular_chain, [[-1/2, -1/2], [3, 3],
[1, 1], [-27/4, -27/4], [0, 0]]]], [[6, 5, 11, 5, 1], [v = 0, And(-1 < u,u < 0
), 1 < x, And(x < y,y < x-u^2+1), z < -(y-x)^(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(x < y,y < x-u^2+1), z = -(y-x)^(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(
x < y,y < x-u^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < x-u^2+1), z = (y-x)^(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(x <
y,y < x-u^2+1), (y-x)^(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
, u^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [2, 2],
[5, 5], [-3, -3]]]], [[6, 7, 11, 9, 2], [v = 0, And(0 < u,u < 1), 1 < x, u^2+x
+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [2, 2], [5, 5]
, [-1816187/1048576, -3632373/2097152]]]], [[6, 7, 11, 9, 3], [v = 0, And(0 <
u,u < 1), 1 < x, u^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[0, 0], [1/2, 1/2], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]
], [[6, 7, 11, 9, 4], [v = 0, And(0 < u,u < 1), 1 < x, u^2+x+1 < y, z = (y-x)^
(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [2, 2], [5, 5], [908093/524288, 
1816187/1048576]]]], [[6, 7, 11, 9, 5], [v = 0, And(0 < u,u < 1), 1 < x, u^2+x
+1 < y, (y-x)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [2, 2], [5, 5],
[3, 3]]]], [[6, 11, 9, 4, 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, 3, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -1, And(-2 < y,y < -1)
, z = z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1, -1], [-3/2, -3/2], [
0, 0]]]], [[7, 8, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 3, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-2 < x,
x < -1), And(x < y,y < 0), z < -(y-x)^(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, 3, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(x
< y,y < 0), z = -(y-x)^(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, 3, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-2 <
x,x < -1), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [And(0 < v,v < 1),
u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [And(0 < v,
v < 1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), (y-x)^(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, 3, 7, 1], [And(0 < v,v < 1), u = (v^2+1)^
(1/2), And(-2 < x,x < -1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2,
1/2], [1172343/1048576, 146543/131072], [-3/2, -3/2], [2, 2], [-3, -3]]]], [[7
, 10, 3, 7, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), x+2
< y, z = -(y-x)^(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, 7, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y, 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [1172343/
1048576, 146543/131072], [-3/2, -3/2], [2, 2], [0, 0]]]], [[7, 10, 3, 7, 4], [
And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y, z = (y-x)^(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, 7, 5], [And(0 <
v,v < 1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y, (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-3/2, -3/2], [2
, 2], [3, 3]]]], [[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+1), z < -(y-x)^(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+1), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [-1/
2, -1/2], [1/4, 1/4], [-1816187/2097152, -3632373/4194304]]]], [[8, 6, 3, 5, 3
], [v = 1, u = -1, And(-1 < x,x < 0), And(0 < y,y < x+1), And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-1, -1], [-1/2, -1/2], [1/4, 1/4
], [-1/8388608, -1/8388608]]]], [[8, 6, 3, 5, 4], [v = 1, u = -1, And(-1 < x,x
< 0), And(0 < y,y < x+1), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-1, -1],
[-1/2, -1/2], [1/4, 1/4], [908093/1048576, 454047/524288]]]], [[8, 6, 3, 5, 5]
, [v = 1, u = -1, And(-1 < x,x < 0), And(0 < y,y < x+1), (y-x)^(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 < 0, z = z], [regular_chain, [[1, 1], [1,
1], [0, 0], [-1, -1], [0, 0]]]], [[8, 12, 5, 2, 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, 2, 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, 2, 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, 4, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 4, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 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+2), z < -(y-x)^(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, 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+2),
z = -(y-x)^(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, 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+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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+2), z
= (y-x)^(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, 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+2), (y-x)^(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, 7, 1], [v = 2^(1/2), u = -2, And(0 < x
,x < 1), And(x < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [1/2, 1/2], [2, 2], [-3, -3]]]], [[10, 2,
7, 7, 2], [v = 2^(1/2), u = -2, And(0 < x,x < 1), And(x < y,y < x+3), z = -(y-
x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [1/2,
1/2], [2, 2], [-1284239/1048576, -642119/524288]]]], [[10, 2, 7, 7, 3], [v = 2
^(1/2), u = -2, And(0 < x,x < 1), And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [1
/2, 1/2], [2, 2], [0, 0]]]], [[10, 2, 7, 7, 4], [v = 2^(1/2), u = -2, And(0 <
x,x < 1), And(x < y,y < x+3), z = (y-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [1/2, 1/2], [2, 2], [642119/524288, 
1284239/1048576]]]], [[10, 2, 7, 7, 5], [v = 2^(1/2), u = -2, And(0 < x,x < 1)
, And(x < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-2, -2], [1/2, 1/2], [2, 2], [3, 3]]]], [[10, 4, 6, 2, 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, 2, 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, 2, 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, 8, 6, 5, 1], [v = 2^(1/2), u = -1, x = 0, 2 < y, z < -y^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [0, 0], [3, 3], [-\
3, -3]]]], [[10, 8, 6, 5, 2], [v = 2^(1/2), u = -1, x = 0, 2 < y, z = -y^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [0, 0], [3, 3]
, [-1816187/1048576, -3632373/2097152]]]], [[10, 8, 6, 5, 3], [v = 2^(1/2), u
= -1, x = 0, 2 < y, 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, 5, 4], [v = 2^(1/2), u = -1, x = 0, 2 < y, z = y^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [0, 0], [3, 3], [
908093/524288, 1816187/1048576]]]], [[10, 8, 6, 5, 5], [v = 2^(1/2), u = -1, x
= 0, 2 < y, y^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
-1, -1], [0, 0], [3, 3], [3, 3]]]], [[10, 10, 4, 7, 1], [v = 2^(1/2), u = 0, x
= -1, And(0 < y,y < 2), z < -(y+1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [-1, -1], [1, 1], [-3, -3]]]], [[10, 10, 4, 7, 2], [
v = 2^(1/2), u = 0, x = -1, And(0 < y,y < 2), z = -(y+1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-1, -1], [1, 1], [-\
1482911/1048576, -741455/524288]]]], [[10, 10, 4, 7, 3], [v = 2^(1/2), u = 0,
x = -1, And(0 < y,y < 2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-1, -1], [1, 1], [0
, 0]]]], [[10, 10, 4, 7, 4], [v = 2^(1/2), u = 0, x = -1, And(0 < y,y < 2), z
= (y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-1
, -1], [1, 1], [741455/524288, 1482911/1048576]]]], [[10, 10, 4, 7, 5], [v = 2
^(1/2), u = 0, x = -1, And(0 < y,y < 2), (y+1)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [-1, -1], [1, 1], [3, 3]]]], [[10, 16
, 3, 1, 1], [v = 2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), y < x, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-3/2, -3/2], [-3, -3], [0, 0]]]], [[10, 18, 1, 7, 1], [v = 2^(1/2),
u = 2, x < -3, And(x+3 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [2, 2], [-4, -4], [-1/2, -1/2], [-3, -3]]]], [[10,
18, 1, 7, 2], [v = 2^(1/2), u = 2, x < -3, And(x+3 < y,y < 0), z = -(y-x)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-4, -4], [-1/2
, -1/2], [-7846825/4194304, -980853/524288]]]], [[10, 18, 1, 7, 3], [v = 2^(1/
2), u = 2, x < -3, And(x+3 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-4, -4], [-1/2, -1
/2], [0, 0]]]], [[10, 18, 1, 7, 4], [v = 2^(1/2), u = 2, x < -3, And(x+3 < y,y
< 0), z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2,
2], [-4, -4], [-1/2, -1/2], [980853/524288, 1961707/1048576]]]], [[10, 18, 1,
7, 5], [v = 2^(1/2), u = 2, x < -3, And(x+3 < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-4, -4], [-1/2, -1/
2], [3, 3]]]], [[10, 18, 1, 9, 1], [v = 2^(1/2), u = 2, x < -3, 0 < y, z < -(y
-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-4, -4
], [1, 1], [-4, -4]]]], [[10, 18, 1, 9, 2], [v = 2^(1/2), u = 2, x < -3, 0 < y
, z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2]
, [-4, -4], [1, 1], [-146543/65536, -2344687/1048576]]]], [[10, 18, 1, 9, 3],
[v = 2^(1/2), u = 2, x < -3, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-4, -4], [1, 1], [0
, 0]]]], [[10, 18, 1, 9, 4], [v = 2^(1/2), u = 2, x < -3, 0 < y, z = (y-x)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-4, -4], [1,
1], [2344687/1048576, 146543/65536]]]], [[10, 18, 1, 9, 5], [v = 2^(1/2), u =
2, x < -3, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [-4, -4], [1, 1], [4, 4]]]], [[10, 19, 10, 3, 1], [v = 2^(1/
2), 2 < u, x = u^2-3, And(0 < y,y < u^2-3), z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [6, 6], [3, 3], [0, 0]]]], [[11, 6, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 7, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-2 < x
,x < -1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [-3/2, -3/2], [2, 2], [-3, -3]]]], [[11, 8, 3, 7,
2], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-2 < x,x < -1), x+2 < y, z = -(y-x)^
(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3/2,
-3/2], [2, 2], [-7846825/4194304, -980853/524288]]]], [[11, 8, 3, 7, 3], [2^(1
/2) < v, u = -(v^2-1)^(1/2), And(-2 < x,x < -1), x+2 < y, And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [-3/2, -3/2], [2, 2], [0, 0]]]], [[11, 8, 3, 7, 4], [2^(1/2) < v, u
= -(v^2-1)^(1/2), And(-2 < x,x < -1), x+2 < y, z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2], [
2, 2], [980853/524288, 1961707/1048576]]]], [[11, 8, 3, 7, 5], [2^(1/2) < v, u
= -(v^2-1)^(1/2), And(-2 < x,x < -1), x+2 < y, (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2], [
2, 2], [3, 3]]]], [[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(0 < y,y < u^2-v^2+x+1), z = z], [
regular_chain, [[3, 3], [0, 0], [9, 9], [1/2, 1/2], [0, 0]]]], [[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
= -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], [395403/131072, 
3163225/1048576], [-3, -3]]]], [[11, 13, 8, 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 = -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], [395403/131072, 3163225/1048576], [-3321417/2097152,
-415177/262144]]]], [[11, 13, 8, 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 = -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], [395403/131072, 3163225/1048576], [0
, 0]]]], [[11, 13, 8, 6, 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], [395403/131072, 3163225/1048576], [415177/262144, 1660709/
1048576]]]], [[11, 13, 8, 6, 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], [395403/131072, 3163225/1048576], [3, 3]]]], [[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 <
0, z = z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [
129511/262144, 518045/1048576], [-1, -1], [0, 0]]]], [[11, 21, 5, 4, 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, 4, 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, 4, 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, 6, 1, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = 0, y < 0, z = z], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [0, 0], [-1, -1],
[0, 0]]]], [[1, 6, 4, 5, 1], [v < -2^(1/2), u = v, x = 0, 1 < y, z < -y^(1/2)]
, [regular_chain, [[-3, -3], [-3, -3], [0, 0], [2, 2], [-3, -3]]]], [[1, 6, 4,
5, 2], [v < -2^(1/2), u = v, x = 0, 1 < y, z = -y^(1/2)], [regular_chain, [[-3
, -3], [-3, -3], [0, 0], [2, 2], [-1482911/1048576, -741455/524288]]]], [[1, 6
, 4, 5, 3], [v < -2^(1/2), u = v, x = 0, 1 < y, And(-y^(1/2) < z,z < y^(1/2))]
, [regular_chain, [[-3, -3], [-3, -3], [0, 0], [2, 2], [0, 0]]]], [[1, 6, 4, 5
, 4], [v < -2^(1/2), u = v, x = 0, 1 < y, z = y^(1/2)], [regular_chain, [[-3,
-3], [-3, -3], [0, 0], [2, 2], [741455/524288, 1482911/1048576]]]], [[1, 6, 4,
5, 5], [v < -2^(1/2), u = v, x = 0, 1 < y, y^(1/2) < z], [regular_chain, [[-3,
-3], [-3, -3], [0, 0], [2, 2], [3, 3]]]], [[1, 12, 1, 7, 1], [v < -2^(1/2), u
= (v^2-2)^(1/2), x < -3, And(x+3 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain
, [[-3, -3], [2774271/1048576, 10837/4096], [-4, -4], [-1/2, -1/2], [-3, -3]]]
], [[1, 12, 1, 7, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), x < -3, And(x+3 < y,y
< 0), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/
4096], [-4, -4], [-1/2, -1/2], [-7846825/4194304, -980853/524288]]]], [[1, 12,
1, 7, 3], [v < -2^(1/2), u = (v^2-2)^(1/2), x < -3, And(x+3 < y,y < 0), And(-(
y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [2774271/1048576,
10837/4096], [-4, -4], [-1/2, -1/2], [0, 0]]]], [[1, 12, 1, 7, 4], [v < -2^(1/
2), u = (v^2-2)^(1/2), x < -3, And(x+3 < y,y < 0), z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-4, -4], [-1/2, -1/2
], [980853/524288, 1961707/1048576]]]], [[1, 12, 1, 7, 5], [v < -2^(1/2), u =
(v^2-2)^(1/2), x < -3, And(x+3 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [
[-3, -3], [2774271/1048576, 10837/4096], [-4, -4], [-1/2, -1/2], [3, 3]]]], [[
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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1581613/2097152,
1581613/2097152], [1710497/524288, 3420995/1048576], [-3, -3]]]], [[1, 13, 9,
8, 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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -\
3], [1435023/524288, 1435023/524288], [1581613/2097152, 1581613/2097152], [
1710497/524288, 3420995/1048576], [-3321417/2097152, -415177/262144]]]], [[1,
13, 9, 8, 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-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], [
1581613/2097152, 1581613/2097152], [1710497/524288, 3420995/1048576], [0, 0]]]
], [[1, 13, 9, 8, 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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1581613/2097152,
1581613/2097152], [1710497/524288, 3420995/1048576], [415177/262144, 1660709/
1048576]]]], [[1, 13, 9, 8, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z]
, [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1581613/
2097152, 1581613/2097152], [1710497/524288, 3420995/1048576], [3, 3]]]], [[1,
17, 10, 8, 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], [2614535/1048576, 326817/131072], [-3, -3]]]], [[1, 17
, 10, 8, 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], [2614535/1048576, 326817/131072], [-1281417/1048576, -160177/
131072]]]], [[1, 17, 10, 8, 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], [2614535/
1048576, 326817/131072], [0, 0]]]], [[1, 17, 10, 8, 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], [2614535/
1048576, 326817/131072], [160177/131072, 1281417/1048576]]]], [[1, 17, 10, 8,
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], [2614535/1048576, 326817/131072], [3, 3]]]], [[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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [1566621/2097152, 1566621/2097152], [
4181817/2097152, 4181817/2097152], [-3, -3]]]], [[1, 19, 9, 7, 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(x
< y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [1566621/2097152, 1566621/2097152], [4181817/
2097152, 4181817/2097152], [-1170947/1048576, -585473/524288]]]], [[1, 19, 9,
7, 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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [1566621/
2097152, 1566621/2097152], [4181817/2097152, 4181817/2097152], [0, 0]]]], [[1,
19, 9, 7, 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(x < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [1566621/2097152
, 1566621/2097152], [4181817/2097152, 4181817/2097152], [585473/524288, 
1170947/1048576]]]], [[1, 19, 9, 7, 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(x < y,y < u^2-v^2+x+1), (y-x)^
(1/2) < z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [
1566621/2097152, 1566621/2097152], [4181817/2097152, 4181817/2097152], [3, 3]]
]], [[2, 3, 11, 1, 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], [-1, -1], [0, 0]]]], [[2, 5, 9, 9, 1], [v = -2^(1
/2), And(-3^(1/2) < u,u < v), And(0 < x,x < 1), u^2+x-1 < y, z < -(y-x)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [1/2, 1/2], [3, 3], [-3, -3]]]], [[2, 5, 9, 9, 2], [v = -2^(
1/2), And(-3^(1/2) < u,u < v), And(0 < x,x < 1), u^2+x-1 < y, z = -(y-x)^(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, 9, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(0 < x,x < 1), u^2
+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [1/2, 1/2], [3
, 3], [0, 0]]]], [[2, 5, 9, 9, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And
(0 < x,x < 1), u^2+x-1 < y, z = (y-x)^(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, 9, 5], [v = -2^(1/2), 
And(-3^(1/2) < u,u < v), And(0 < x,x < 1), u^2+x-1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [1/2, 1/2], [3, 3], [3, 3]]]], [[2, 5, 10, 7, 1], [v = -2^(1
/2), And(-3^(1/2) < u,u < v), x = 1, And(-u^2+4 < y,y < u^2), z < -(y-1)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [1, 1], [2, 2], [-2, -2]]]], [[2, 5, 10, 7, 2], [v = -2^(1/2
), And(-3^(1/2) < u,u < v), x = 1, And(-u^2+4 < y,y < u^2), z = -(y-1)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [1, 1], [2, 2], [-1, -1]]]], [[2, 5, 10, 7, 3], [v = -2^(1/2
), And(-3^(1/2) < 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], [-\
6598195/4194304, -6598195/4194304], [1, 1], [2, 2], [0, 0]]]], [[2, 5, 10, 7,
4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 1, And(-u^2+4 < y,y < u^2), z
= (y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195
/4194304, -6598195/4194304], [1, 1], [2, 2], [1, 1]]]], [[2, 5, 10, 7, 5], [v
= -2^(1/2), And(-3^(1/2) < u,u < v), x = 1, And(-u^2+4 < y,y < u^2), (y-1)^(1/
2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [1, 1], [2, 2], [2, 2]]]], [[2, 7, 11, 2, 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, 5, 1], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 <
x,x < 0), And(0 < y,y < u^2+x-1), z < -(y-x)^(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(0
< y,y < u^2+x-1), z = -(y-x)^(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(0 < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(0 < y,y < u^2+x-1), z = (y-x)^(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(0 < y,y < u^2+x-1), (y-x)^(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
), u^2+x-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [3299097/2097152, 3299097/2097152], [-275385/1048576, -275385/
1048576], [3, 3], [-3, -3]]]], [[2, 15, 7, 9, 2], [v = -2^(1/2), And(-v < u,u
< 3^(1/2)), And(u^2-3 < x,x < 0), u^2+x-1 < y, z = -(y-x)^(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, 9, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And
(u^2-3 < x,x < 0), u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-275385/1048576, -275385/1048576], [3, 3], [0, 0]]]], [[2, 15, 7, 9
, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), u^2+x-1 <
y, z = (y-x)^(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, 9, 5], [v = -2^(1/2), And(-v < u
,u < 3^(1/2)), And(u^2-3 < x,x < 0), u^2+x-1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-275385/1048576, -275385/1048576], [3, 3], [3, 3]]]], [[2, 19, 5, 4
, 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, 4, 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, 4, 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, 3, 1], [And(-2^(1/2) <
v,v < -1), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, And(0 < y,y < x-u^2+v^2+1), z =
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [8, 8], [
763943/1048576, 763943/1048576], [0, 0]]]], [[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 = 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, 4, 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, 4, 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, 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 = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [239655/524288, 479311/1048576], [-1, -1], [0, 0]]]], [[3, 
17, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = -1, u < -3^(1/2), u^2-2 < x, And(x-u^
2+2 < y,y < x), 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 = x-u^2+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, 8, 2], [v = -1, And(-1 < u,u < 0
), And(0 < x,x < 1), y = x-u^2+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, 8, 3], [v = -1, And(-1 < u,u < 0), And(0 < x,x < 1), y = x-u^2+2, 
And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [-1/2
, -1/2], [1/2, 1/2], [9/4, 9/4], [0, 0]]]], [[4, 7, 9, 8, 4], [v = -1, And(-1
< u,u < 0), And(0 < x,x < 1), y = x-u^2+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, 8, 5], [v = -1, And(-1 < u,u < 0), And(0 < x,x < 1), y =
x-u^2+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, 5, 1], [v = -1, And(0 < u,u < 1), x = 0
, And(u^2 < y,y < -u^2+2), z < -y^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2
], [0, 0], [1, 1], [-2, -2]]]], [[4, 9, 8, 5, 2], [v = -1, And(0 < u,u < 1), x
= 0, And(u^2 < y,y < -u^2+2), z = -y^(1/2)], [regular_chain, [[-1, -1], [1/2,
1/2], [0, 0], [1, 1], [-1, -1]]]], [[4, 9, 8, 5, 3], [v = -1, And(0 < 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], [1/2, 1/2], [0, 0], [1, 1], [0, 0]]]], [[4, 9, 8, 5,
4], [v = -1, And(0 < u,u < 1), x = 0, And(u^2 < y,y < -u^2+2), z = y^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [0, 0], [1, 1], [1, 1]]]], [[4, 9, 8, 5,
5], [v = -1, And(0 < u,u < 1), x = 0, And(u^2 < y,y < -u^2+2), y^(1/2) < z], [
regular_chain, [[-1, -1], [1/2, 1/2], [0, 0], [1, 1], [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-u^2+2
< y,y < x), 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+2, z = z
], [regular_chain, [[-1, -1], [3, 3], [0, 0], [-7, -7], [0, 0]]]], [[5, 5, 9,
9, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), u^
2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [1/2, 1/2], [3, 3], [-3, -3]]]], [[5, 5, 9, 9, 2],
[And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), u^2-v^2+x
+1 < y, z = -(y-x)^(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, 9, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,
x < 1), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2]
, [3, 3], [0, 0]]]], [[5, 5, 9, 9, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2)
< u,u < v), And(0 < x,x < 1), u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 5], [And(-1 < v,v
< 0), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), u^2-v^2+x+1 < y, (y-x)^
(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152
], [1/2, 1/2], [3, 3], [3, 3]]]], [[5, 7, 10, 4, 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, 4, 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, 4, 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, 9, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x = 1, -u^2+v^2
+2 < y, z < -(y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [4,
4], [-3, -3]]]], [[5, 7, 10, 9, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x =
1, -u^2+v^2+2 < y, z = -(y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [
1, 1], [4, 4], [-1816187/1048576, -3632373/2097152]]]], [[5, 7, 10, 9, 3], [
And(-1 < v,v < 0), And(v < u,u < -v), x = 1, -u^2+v^2+2 < y, 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, 9, 4], [And(-1 < v,v < 0), And(v < u,
u < -v), x = 1, -u^2+v^2+2 < y, z = (y-1)^(1/2)], [regular_chain, [[-1/2, -1/2
], [0, 0], [1, 1], [4, 4], [908093/524288, 1816187/1048576]]]], [[5, 7, 10, 9,
5], [And(-1 < v,v < 0), And(v < u,u < -v), x = 1, -u^2+v^2+2 < y, (y-1)^(1/2)
< z], [regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [4, 4], [3, 3]]]], [[5, 9
, 11, 4, 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, 4, 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, 4, 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, 9, 1], [v = 0, u = -2^(1/2), And(-3 < x,x < -1), x+3
< y, z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/
524288], [-2, -2], [2, 2], [-3, -3]]]], [[6, 2, 3, 9, 2], [v = 0, u = -2^(1/2)
, And(-3 < x,x < -1), x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [-2, -2], [2, 2], [-2, -2]]]], [[6, 2, 3, 9,
3], [v = 0, u = -2^(1/2), And(-3 < x,x < -1), x+3 < y, And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288],
[-2, -2], [2, 2], [0, 0]]]], [[6, 2, 3, 9, 4], [v = 0, u = -2^(1/2), And(-3 <
x,x < -1), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[0, 0], [-1482911/
1048576, -741455/524288], [-2, -2], [2, 2], [2, 2]]]], [[6, 2, 3, 9, 5], [v =
0, u = -2^(1/2), And(-3 < x,x < -1), x+3 < y, (y-x)^(1/2) < z], [regular_chain
, [[0, 0], [-1482911/1048576, -741455/524288], [-2, -2], [2, 2], [3, 3]]]], [[
6, 3, 11, 8, 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], [2336807/524288, 4673615/1048576], [-3, -3]]]], [[6, 3, 11, 8, 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], [2336807
/524288, 4673615/1048576], [-410915/262144, -3287319/2097152]]]], [[6, 3, 11,
8, 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], [2336807/524288, 4673615/1048576], [-1/4194304, -1/
4194304]]]], [[6, 3, 11, 8, 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], [2336807/524288, 4673615/1048576], [1643659/1048576,
410915/262144]]]], [[6, 3, 11, 8, 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], [2336807/524288, 4673615/1048576], [3, 3]]]], [[6, 8
, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 11, 5, 1], [v = 0, And(1 < u,u < 2^(1/2)), 1 <
x, And(x-u^2+1 < y,y < x), z = z], [regular_chain, [[0, 0], [1265743/1048576,
1265743/1048576], [2, 2], [1857497/1048576, 1857497/1048576], [0, 0]]]], [[7,
4, 2, 3, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -2, And(-2 < y,y < 0),
z < -(y+2)^(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(-2 < y,y < 0), z = -(y+2)^(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(-2 < y,y < 0), And(-(y+2)^(1/2) < z,z < (y+2)^(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(-2 < y,
y < 0), z = (y+2)^(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(-2 < y,y < 0), (y+2)^(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, u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2],
[-1696631/2097152, -1696631/2097152], [2, 2], [5, 5], [-3, -3]]]], [[7, 5, 11,
9, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, u^2-v^2+x+1 <
y, z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631
/2097152], [2, 2], [5, 5], [-1816187/1048576, -3632373/2097152]]]], [[7, 5, 11
, 9, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, u^2-v^2+x+1
< y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]
], [[7, 5, 11, 9, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x
, u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [2, 2], [5, 5], [908093/524288, 1816187/1048576]]]
], [[7, 5, 11, 9, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x
, u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [2, 2], [5, 5], [3, 3]]]], [[7, 13, 11, 1, 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], [-1, -1], [0, 0]]]], [[8, 2, 6, 2,
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, 4, 5,
1], [v = 1, u = 0, x = -1, And(0 < y,y < 1), z < -(y+1)^(1/2)], [regular_chain
, [[1, 1], [0, 0], [-1, -1], [1/2, 1/2], [-3, -3]]]], [[8, 8, 4, 5, 2], [v = 1
, u = 0, x = -1, And(0 < y,y < 1), z = -(y+1)^(1/2)], [regular_chain, [[1, 1],
[0, 0], [-1, -1], [1/2, 1/2], [-1284239/1048576, -642119/524288]]]], [[8, 8, 4
, 5, 3], [v = 1, u = 0, x = -1, And(0 < y,y < 1), And(-(y+1)^(1/2) < z,z < (y+
1)^(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 = (y+1)^(1/2)], [
regular_chain, [[1, 1], [0, 0], [-1, -1], [1/2, 1/2], [642119/524288, 1284239/
1048576]]]], [[8, 8, 4, 5, 5], [v = 1, u = 0, x = -1, And(0 < y,y < 1), (y+1)^
(1/2) < z], [regular_chain, [[1, 1], [0, 0], [-1, -1], [1/2, 1/2], [3, 3]]]],
[[8, 10, 3, 6, 1], [v = 1, u = 1, And(-1 < x,x < 0), y = x+1, z < -1], [
regular_chain, [[1, 1], [1, 1], [-1/2, -1/2], [1/2, 1/2], [-2, -2]]]], [[8, 10
, 3, 6, 2], [v = 1, u = 1, And(-1 < x,x < 0), y = x+1, z = -1], [regular_chain
, [[1, 1], [1, 1], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[8, 10, 3, 6, 3], [
v = 1, u = 1, And(-1 < x,x < 0), y = x+1, And(-1 < z,z < 1)], [regular_chain,
[[1, 1], [1, 1], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[8, 10, 3, 6, 4], [v =
1, u = 1, And(-1 < x,x < 0), y = x+1, z = 1], [regular_chain, [[1, 1], [1, 1],
[-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[8, 10, 3, 6, 5], [v = 1, u = 1, And(-1
< x,x < 0), y = x+1, 1 < z], [regular_chain, [[1, 1], [1, 1], [-1/2, -1/2], [1
/2, 1/2], [2, 2]]]], [[8, 14, 3, 7, 1], [v = 1, u = 3^(1/2), And(-3 < x,x < -1
), And(0 < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [908093/
524288, 1816187/1048576], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[8, 14, 3, 7, 2]
, [v = 1, u = 3^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), z = -(y-x)^(1/2
)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-2, -2], [1/2,
1/2], [-3315889/2097152, -207243/131072]]]], [[8, 14, 3, 7, 3], [v = 1, u = 3^
(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^
(1/2))], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-2, -2],
[1/2, 1/2], [0, 0]]]], [[8, 14, 3, 7, 4], [v = 1, u = 3^(1/2), And(-3 < x,x <
-1), And(0 < y,y < x+3), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [908093/
524288, 1816187/1048576], [-2, -2], [1/2, 1/2], [207243/131072, 1657945/
1048576]]]], [[8, 14, 3, 7, 5], [v = 1, u = 3^(1/2), And(-3 < x,x < -1), And(0
< y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [908093/524288, 
1816187/1048576], [-2, -2], [1/2, 1/2], [3, 3]]]], [[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 < x-u^2+v^2+1, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10, -10], [-18
, -18], [0, 0]]]], [[9, 6, 5, 1, 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], [-1, -1], [0, 0]]]], [[9, 8,
5, 7, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), x+2
< y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-1417877/2097152, -354469/524288], [-1/2, -1/2], [3, 3], [-3, -3]]]], [[9, 8,
5, 7, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), x+2
< y, z = -(y-x)^(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, 7, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/
2), And(-1 < x,x < 0), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-1/2, -1/2], [3, 3], [0, 0]]]], [[9, 8, 5, 7, 4], [And(1 < v,v < 2^
(1/2)), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), x+2 < y, z = (y-x)^(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
, 7, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), x+2 <
y, (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1417877/2097152, -354469/524288], [-1/2, -1/2], [3, 3], [3, 3]]]], [[9, 8, 6,
3, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 0, And(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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), x+3 < y,
z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [-2, -2], [2, 2], [-3, -3]]]], [[9, 16, 3, 9,
2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-3 < x,x < -1), x+3 < y, z
= -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/
65536, 1949649/1048576], [-2, -2], [2, 2], [-2, -2]]]], [[9, 16, 3, 9, 3], [
And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-3 < x,x < -1), x+3 < y, And(-(
y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [121853/65536, 1949649/1048576], [-2, -2], [2, 2], [0, 0]]]], [[9, 
16, 3, 9, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-3 < x,x < -1),
x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [121853/65536, 1949649/1048576], [-2, -2], [2, 2], [2, 2]]]], [[9, 16, 3, 9,
5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-3 < x,x < -1), x+3 < y, (
y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/
65536, 1949649/1048576], [-2, -2], [2, 2], [3, 3]]]], [[10, 1, 1, 3, 1], [v =
2^(1/2), u < -2, x < -u^2+1, And(x-u^2+3 < y,y < x), z = z], [regular_chain, [
[741455/524288, 1482911/1048576], [-3, -3], [-9, -9], [-12, -12], [0, 0]]]], [
[10, 4, 6, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 6, 5, 7, 1], [v = 2^(1/2), u = -v,
And(0 < x,x < 1), x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-1482911/1048576, -741455/524288], [1/2, 1/2], [3, 3], [-3,
-3]]]], [[10, 6, 5, 7, 2], [v = 2^(1/2), u = -v, And(0 < x,x < 1), x+1 < y, z
= -(y-x)^(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, 7, 3], [v = 2^(1/2), u = -v, And(0 < x,x < 1), x+1 < y
, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [1/2, 1/2], [3, 3], [0,
0]]]], [[10, 6, 5, 7, 4], [v = 2^(1/2), u = -v, And(0 < x,x < 1), x+1 < y, z =
(y-x)^(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, 7, 5], [v = 2^(1/2), u = -v, And(0 < x,x < 1), x+1 < y, (y-x)
^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/
1048576, -741455/524288], [1/2, 1/2], [3, 3], [3, 3]]]], [[10, 12, 2, 3, 1], [
v = 2^(1/2), u = 1, x = -2, And(-2 < y,y < 0), z < -(y+2)^(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(-2 < y,y < 0
), z = -(y+2)^(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(-2 < y,y < 0), And(-(y+2)^(1/2) < z,z < (y+2)^(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(-2 < y,y < 0),
z = (y+2)^(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(-2 < y,y < 0), (y+2)^(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 = x+1, 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 = x+1, 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 = x+1, 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 = x+1, 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 = x+1, 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(x < y,y < 0), z
< -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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+2), z < -
(y-x)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3/
2, -3/2], [1/4, 1/4], [-3, -3]]]], [[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+2), z = -(y-x)^(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, 5, 3], [2^(1/2) < v, u =
-(v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [
-3/2, -3/2], [1/4, 1/4], [0, 0]]]], [[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+2), z = (y-x)^(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, 5, 5], [2^(1/2) < v, u = -
(v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [1/4,
1/4], [3, 3]]]], [[11, 10, 2, 5, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -3,
And(-3 < y,y < 0), z < -(y+3)^(1/2)], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [-3, -3], [-3/2, -3/2], [-3, -3]]]], [[11, 10, 2,
5, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -3, And(-3 < y,y < 0), z = -(y+3)
^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-3, -\
3], [-3/2, -3/2], [-1284239/1048576, -642119/524288]]]], [[11, 10, 2, 5, 3], [
2^(1/2) < v, u = -(v^2-2)^(1/2), x = -3, And(-3 < y,y < 0), And(-(y+3)^(1/2) <
z,z < (y+3)^(1/2))], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [-3, -3], [-3/2, -3/2], [0, 0]]]], [[11, 10, 2, 5, 4], [2^(1/2) < v,
u = -(v^2-2)^(1/2), x = -3, And(-3 < y,y < 0), z = (y+3)^(1/2)], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-3, -3], [-3/2,
-3/2], [642119/524288, 1284239/1048576]]]], [[11, 10, 2, 5, 5], [2^(1/2) < v,
u = -(v^2-2)^(1/2), x = -3, And(-3 < y,y < 0), (y+3)^(1/2) < z], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-3, -3], [-3/2,
-3/2], [3, 3]]]], [[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 < 0, z = z], [regular_chain, [[3, 3], [0,
0], [9, 9], [-1, -1], [0, 0]]]], [[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-u^2+v^2+1, z < -(-u^2+v^2+
1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-\
516571/2097152, -516571/2097152], [661147/524288, 1322295/1048576], [-3, -3]]]
], [[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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3
, 3], [6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152],
[661147/524288, 1322295/1048576], [-1287385/1048576, -160923/131072]]]], [[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-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], [-516571/2097152,
-516571/2097152], [661147/524288, 1322295/1048576], [0, 0]]]], [[11, 15, 7, 8,
4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), y =
x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [661147/524288,
1322295/1048576], [160923/131072, 1287385/1048576]]]], [[11, 15, 7, 8, 5], [2^
(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), y = x-u^2+
v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [-516571/2097152, -516571/2097152], [661147/524288, 1322295/
1048576], [3, 3]]]], [[11, 17, 8, 7, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(
1/2)), x = 0, u^2-v^2+1 < y, z < -y^(1/2)], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [0, 0], [3, 3], [-3, -3]]]], [[11, 17, 8, 7, 2], [2^(1
/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 0, u^2-v^2+1 < y, z = -y^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [0, 0], [3, 3], [-\
1816187/1048576, -3632373/2097152]]]], [[11, 17, 8, 7, 3], [2^(1/2) < v, And(v
< u,u < (v^2+1)^(1/2)), x = 0, u^2-v^2+1 < y, 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, 7, 4], [2^(1/2) < v, And(v < u,u < (v^2+
1)^(1/2)), x = 0, u^2-v^2+1 < y, z = y^(1/2)], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [0, 0], [3, 3], [908093/524288, 1816187/1048576
]]]], [[11, 17, 8, 7, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 0, u
^2-v^2+1 < y, y^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [0, 0], [3, 3], [3, 3]]]], [[1, 1, 1, 3, 1], [v < -2^(1/2), u < -(v^2
+2)^(1/2), x < -u^2+v^2-1, And(x-u^2+v^2+1 < y,y < x), z = z], [regular_chain,
[[-3, -3], [-5, -5], [-18, -18], [-51/2, -51/2], [0, 0]]]], [[1, 2, 7, 2, 1],
[v < -2^(1/2), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y = x-1, z = z], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [1/2, 1/2], [-1
/2, -1/2], [0, 0]]]], [[1, 8, 6, 2, 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, 2, 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, 2, 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, 3,
9, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-3 < x,x < -1), x+3 < y, z < -(y
-x)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [
-2, -2], [2, 2], [-3, -3]]]], [[1, 10, 3, 9, 2], [v < -2^(1/2), u = -(v^2-2)^(
1/2), And(-3 < x,x < -1), x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3
], [-5548543/2097152, -2774271/1048576], [-2, -2], [2, 2], [-2, -2]]]], [[1, 
10, 3, 9, 3], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-3 < x,x < -1), x+3 < y,
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [-2, -2], [2, 2], [0, 0]]]], [[1, 10, 3, 9, 4], [v
< -2^(1/2), u = -(v^2-2)^(1/2), And(-3 < x,x < -1), x+3 < y, z = (y-x)^(1/2)],
[regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-2, -2], [2,
2], [2, 2]]]], [[1, 10, 3, 9, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-3 <
x,x < -1), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [-2, -2], [2, 2], [3, 3]]]], [[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 = 1, z < 0],
[regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1, 1], [1, 1], [
-1, -1]]]], [[1, 13, 10, 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, 10, 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,
15, 9, 5, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1),
And(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [1/2, 1/2], [1565147/2097152, 1565147/
2097152], [-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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [
1565147/2097152, 1565147/2097152], [-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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [
1565147/2097152, 1565147/2097152], [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(x < y,y < u^2-v^2+x+1),
z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152
], [1/2, 1/2], [1565147/2097152, 1565147/2097152], [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(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain
, [[-3, -3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [1565147/2097152,
1565147/2097152], [2, 2]]]], [[1, 21, 7, 4, 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, 1, 1], [v = -2^(1/2), u = -2, x = -3, y < -\
4, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-3,
-3], [-5, -5], [0, 0]]]], [[2, 9, 10, 9, 1], [v = -2^(1/2), And(-1 < u,u < 0),
x = 1, -u^2+4 < y, z < -(y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [1, 1], [5, 5], [-3, -3]]]], [[2, 9, 10, 9, 2],
[v = -2^(1/2), And(-1 < u,u < 0), x = 1, -u^2+4 < y, z = -(y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [1, 1], [5,
5], [-2, -2]]]], [[2, 9, 10, 9, 3], [v = -2^(1/2), And(-1 < u,u < 0), x = 1, -
u^2+4 < y, 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,
9, 4], [v = -2^(1/2), And(-1 < u,u < 0), x = 1, -u^2+4 < y, z = (y-1)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [1, 1], [5,
5], [2, 2]]]], [[2, 9, 10, 9, 5], [v = -2^(1/2), And(-1 < u,u < 0), x = 1, -u^
2+4 < y, (y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1/2, -1/2], [1, 1], [5, 5], [3, 3]]]], [[2, 11, 7, 8, 1], [v = -2^(1/2), 
And(0 < u,u < 1), And(0 < x,x < -u^2+1), y = x-u^2+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, 8, 2], [v = -2^(1/2), And(0 < u,u < 1),
And(0 < x,x < -u^2+1), y = x-u^2+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, 8, 3], [v = -2^(1/2), And(0
< u,u < 1), And(0 < x,x < -u^2+1), y = x-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
], [3/8, 3/8], [25/8, 25/8], [-1/4194304, -1/4194304]]]], [[2, 11, 7, 8, 4], [
v = -2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), y = x-u^2+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, 8, 5]
, [v = -2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), y = x-u^2+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, 7, 7, 1], [v = -2^(1/2), And(3^(
1/2) < u,u < 2), And(0 < x,x < u^2-3), And(x < y,y < u^2+x-1), z < -(y-x)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 
3913339/2097152], [505467/2097152, 505467/2097152], [1554043/1048576, 1554043/
1048576], [-3, -3]]]], [[2, 17, 7, 7, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2
), And(0 < x,x < u^2-3), And(x < y,y < u^2+x-1), z = -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [505467/2097152, 505467/2097152], [1554043/1048576, 1554043/1048576]
, [-4563/4096, -1168127/1048576]]]], [[2, 17, 7, 7, 3], [v = -2^(1/2), And(3^(
1/2) < u,u < 2), And(0 < x,x < u^2-3), And(x < y,y < u^2+x-1), And(-(y-x)^(1/2
) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288],
[3913339/2097152, 3913339/2097152], [505467/2097152, 505467/2097152], [1554043
/1048576, 1554043/1048576], [0, 0]]]], [[2, 17, 7, 7, 4], [v = -2^(1/2), And(3
^(1/2) < u,u < 2), And(0 < x,x < u^2-3), And(x < y,y < u^2+x-1), z = (y-x)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 
3913339/2097152], [505467/2097152, 505467/2097152], [1554043/1048576, 1554043/
1048576], [1168127/1048576, 4563/4096]]]], [[2, 17, 7, 7, 5], [v = -2^(1/2), 
And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), And(x < y,y < u^2+x-1), (y-x)^(1
/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [505467/2097152, 505467/2097152], [1554043/1048576,
1554043/1048576], [3, 3]]]], [[2, 19, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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(0
< y,y < x-u^2+v^2+1), z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-14373233/8388608, -14373233/8388608], [775271/1048576, 775271/
1048576], [273305/2097152, 273305/2097152], [0, 0]]]], [[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),
u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-558339/2097152, -\
558339/2097152], [3, 3], [-3, -3]]]], [[3, 5, 7, 9, 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), u^2-v^2+x+1 < y,
z = -(y-x)^(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, 9, 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), u^2-v^2+x+1
< y, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9,
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), u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
558339/2097152, -558339/2097152], [3, 3], [3, 3]]]], [[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-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [987341/1048576, 987341/1048576], [-450371/2097152, -450371
/2097152], [1421595/1048576, 355399/262144], [-3, -3]]]], [[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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-450371/2097152
, -450371/2097152], [1421595/1048576, 355399/262144], [-1314069/1048576, -\
328517/262144]]]], [[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-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], [-450371/2097152, -450371/
2097152], [1421595/1048576, 355399/262144], [0, 0]]]], [[3, 11, 7, 8, 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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-450371/2097152
, -450371/2097152], [1421595/1048576, 355399/262144], [328517/262144, 1314069/
1048576]]]], [[3, 11, 7, 8, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [-450371/2097152, -450371/2097152], [1421595/1048576, 355399/
262144], [3, 3]]]], [[3, 13, 8, 3, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u
< (v^2+1)^(1/2)), x = 0, And(0 < y,y < -u^2+v^2+1), 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, 3, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 0, 
And(0 < y,y < -u^2+v^2+1), 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, 3, 3], [And
(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 0, And(0 < 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], [139585/524288,
139585/524288], [0, 0]]]], [[3, 13, 8, 3, 4], [And(-2^(1/2) < v,v < -1), And(-
v < u,u < (v^2+1)^(1/2)), x = 0, And(0 < y,y < -u^2+v^2+1), 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, 3, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,u
< (v^2+1)^(1/2)), x = 0, And(0 < y,y < -u^2+v^2+1), y^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [0, 0], [139585/524288, 139585/524288], [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 = 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1454701/1048576, 1454701/1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[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 < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [501965/2097152, 501965/2097152], [2850099/1048576, 712525/262144], [
-3, -3]]]], [[3, 15, 7, 8, 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], [2850099/1048576, 
712525/262144], [-3301741/2097152, -825435/524288]]]], [[3, 15, 7, 8, 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], [2850099/1048576, 712525/
262144], [0, 0]]]], [[3, 15, 7, 8, 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], [2850099/
1048576, 712525/262144], [825435/524288, 1650871/1048576]]]], [[3, 15, 7, 8, 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], [2850099/1048576, 712525/262144], [3, 3]]]], [[4, 3,
9, 6, 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], [773191/1048576, 96649/131072], [-1, -1]]]]
, [[4, 3, 9, 6, 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], [773191/1048576, 96649/131072],
[0, 0]]]], [[4, 3, 9, 6, 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], [773191/1048576, 96649/
131072], [1, 1]]]], [[4, 5, 8, 3, 1], [v = -1, And(-2^(1/2) < u,u < -1), x = 0
, And(0 < y,y < -u^2+2), z < -y^(1/2)], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [0, 0], [569265/2097152, 569265/2097152], [-2, -2]
]]], [[4, 5, 8, 3, 2], [v = -1, And(-2^(1/2) < u,u < -1), x = 0, And(0 < y,y <
-u^2+2), 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, 3, 3], [v = -1, And(-2^(1/2) < u,u < -1), x = 0, And(
0 < y,y < -u^2+2), 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, 3, 4], [v = -1, And(-2^(1/2) < u,u <
-1), x = 0, And(0 < y,y < -u^2+2), 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, 3, 5], [v = -1, And(-2^(1/2) <
u,u < -1), x = 0, And(0 < y,y < -u^2+2), y^(1/2) < z], [regular_chain, [[-1, -\
1], [-1265743/1048576, -1265743/1048576], [0, 0], [569265/2097152, 569265/
2097152], [2, 2]]]], [[4, 9, 9, 3, 1], [v = -1, And(0 < u,u < 1), And(0 < x,x
< 1), And(0 < y,y < x), z = z], [regular_chain, [[-1, -1], [1/2, 1/2], [1/2, 1
/2], [1/4, 1/4], [0, 0]]]], [[4, 11, 9, 7, 1], [v = -1, And(1 < u,u < 2^(1/2))
, And(0 < x,x < 1), And(x-u^2+2 < y,y < u^2+x), z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [3/2
, 3/2], [-2, -2]]]], [[4, 11, 9, 7, 2], [v = -1, And(1 < u,u < 2^(1/2)), And(0
< x,x < 1), And(x-u^2+2 < y,y < u^2+x), z = -(y-x)^(1/2)], [regular_chain, [[-\
1, -1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]
], [[4, 11, 9, 7, 3], [v = -1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), And(x
-u^2+2 < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[-1, -1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [3/2, 3/2], [0, 0]]
]], [[4, 11, 9, 7, 4], [v = -1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), And(
x-u^2+2 < y,y < u^2+x), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[4, 11, 9, 7, 5
], [v = -1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), And(x-u^2+2 < y,y < u^2+
x), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[5, 2, 2, 1, 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], [-5, -5], [0, 0]]]], [[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 = 0, z = z], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [1, 1], [0, 0]
, [0, 0]]]], [[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 = 0, z = z], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [2, 2], [0, 0], [0, 0]]]], [[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 = z], [regular_chain,
[[-1/2, -1/2], [3, 3], [1, 1], [-8, -8], [0, 0]]]], [[6, 5, 11, 6, 1], [v = 0,
And(-1 < u,u < 0), 1 < x, y = x-u^2+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, 6, 2], [v
= 0, And(-1 < u,u < 0), 1 < x, y = x-u^2+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, 6, 3], [v = 0, And(-1 < u,u < 0), 1 < x, y =
x-u^2+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,
6, 4], [v = 0, And(-1 < u,u < 0), 1 < x, y = x-u^2+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, 6, 5], [v = 0, And(-1 < u,u < 0), 1 < x, y = x-
u^2+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, 1, 1], [v = 0, u = 1, x < -2, y < x, z = z],
[regular_chain, [[0, 0], [1, 1], [-3, -3], [-4, -4], [0, 0]]]], [[6, 11, 9, 3,
1], [v = 0, 2^(1/2) < u, And(1 < x,x < u^2-1), And(x-u^2+1 < y,y < 0), z = z],
[regular_chain, [[0, 0], [3, 3], [9/2, 9/2], [-7/4, -7/4], [0, 0]]]], [[7, 2,
4, 2, 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,
8, 2, 5, 1], [And(0 < v,v < 1), u = v, x = -1, 0 < y, z < -(y+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1, -1], [1, 1], [-3, -3]]]], [[7, 8,
2, 5, 2], [And(0 < v,v < 1), u = v, x = -1, 0 < y, z = -(y+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1, -1], [1, 1], [-1482911/1048576, -\
741455/524288]]]], [[7, 8, 2, 5, 3], [And(0 < v,v < 1), u = v, x = -1, 0 < y,
And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [1/2, 1/2
], [-1, -1], [1, 1], [0, 0]]]], [[7, 8, 2, 5, 4], [And(0 < v,v < 1), u = v, x
= -1, 0 < y, z = (y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1, -\
1], [1, 1], [741455/524288, 1482911/1048576]]]], [[7, 8, 2, 5, 5], [And(0 < v,
v < 1), u = v, x = -1, 0 < y, (y+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
1/2, 1/2], [-1, -1], [1, 1], [3, 3]]]], [[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 = z], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/
131072], [-1, -1], [-2, -2], [0, 0]]]], [[7, 12, 2, 5, 1], [And(0 < v,v < 1),
u = (v^2+2)^(1/2), x = -3, And(-3 < y,y < 0), z < -(y+3)^(1/2)], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [-3, -3], [-3/2, -3/2], [-3, -3]]]], [
[7, 12, 2, 5, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -3, And(-3 < y,y <
0), z = -(y+3)^(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, 5, 3], [And(0 < v
,v < 1), u = (v^2+2)^(1/2), x = -3, And(-3 < y,y < 0), And(-(y+3)^(1/2) < z,z
< (y+3)^(1/2))], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-3, -3], [-3/2, -3/
2], [0, 0]]]], [[7, 12, 2, 5, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -3
, And(-3 < y,y < 0), z = (y+3)^(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, 5,
5], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -3, And(-3 < y,y < 0), (y+3)^(1/
2) < z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-3, -3], [-3/2, -3/2], [3,
3]]]], [[8, 4, 4, 3, 1], [v = 1, u = -2^(1/2), x = -1, And(-1 < y,y < 0), z <
-(y+1)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-\
1, -1], [-1/2, -1/2], [-2, -2]]]], [[8, 4, 4, 3, 2], [v = 1, u = -2^(1/2), x =
-1, And(-1 < y,y < 0), z = -(y+1)^(1/2)], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [-1, -1], [-1/2, -1/2], [-1482911/2097152, -741455/
1048576]]]], [[8, 4, 4, 3, 3], [v = 1, u = -2^(1/2), x = -1, And(-1 < y,y < 0)
, And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(1/2)], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-1, -1], [-1/2, -\
1/2], [741455/1048576, 46341/65536]]]], [[8, 4, 4, 3, 5], [v = 1, u = -2^(1/2)
, x = -1, And(-1 < y,y < 0), (y+1)^(1/2) < z], [regular_chain, [[1, 1], [-\
1482911/1048576, -741455/524288], [-1, -1], [-1/2, -1/2], [2, 2]]]], [[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 = 0,
z < 0], [regular_chain, [[1, 1], [1, 1], [0, 0], [0, 0], [-1, -1]]]], [[8, 10,
4, 2, 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, 2, 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,
3, 1], [v = 1, u = 2^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(1
/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1/2, -1/2],
[-1/4, -1/4], [-2, -2]]]], [[8, 12, 5, 3, 2], [v = 1, u = 2^(1/2), And(-1 < x,
x < 0), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v = 1, u = 2^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [741455/524288, 
1482911/1048576], [-1/2, -1/2], [-1/4, -1/4], [0, 0]]]], [[8, 12, 5, 3, 4], [v
= 1, u = 2^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = 1, u = 2^(1/2), And(-1 < x,x < 0
), And(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [741455/524288
, 1482911/1048576], [-1/2, -1/2], [-1/4, -1/4], [2, 2]]]], [[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-1 < 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, 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+2), z < -(y-x)^(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, 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+2), z = -(y-x)^(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, 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+2), And(
-(y-x)^(1/2) < z,z < (y-x)^(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, 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+2), z = (y-x)^(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, 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+2), (y-x)^(
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, 4, 5,
1], [And(1 < v,v < 2^(1/2)), u = v, x = 0, 1 < y, z < -y^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [0, 0], [2, 2], [-3, -3]]]], [[9, 12, 4, 5, 2], [And(1 < v,v < 2^(1/
2)), u = v, x = 0, 1 < y, 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, 5, 3], [And(1 < v,v < 2^(1/2)
), u = v, x = 0, 1 < y, 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, 5, 4], [And(1 < v,v < 2^(1/2)), u = v, x = 0, 1
< y, 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, 5, 5], [And(1 < v,v < 2^(1/2)), u = v, x = 0, 1 < y,
y^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [0, 0], [2, 2], [3, 3]]]], [[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+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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6
, 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, 6, 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, 6, 1, 1], [v = 2^(1/2), u = -3^(1/2), x = 0, y < 0,
z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576,
-3632373/2097152], [0, 0], [-1, -1], [0, 0]]]], [[10, 8, 7, 1, 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], [-1, -1], [0, 0]]]], [[10, 10, 4, 8, 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,
8, 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, 8, 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,
8, 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, 8, 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, 5, 1], [v = 2^(1/2), u = 3^(1/2), x = -2,
0 < y, z < -(y+2)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
908093/524288, 1816187/1048576], [-2, -2], [1, 1], [-3, -3]]]], [[10, 16, 2, 5
, 2], [v = 2^(1/2), u = 3^(1/2), x = -2, 0 < y, z = -(y+2)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-2, -2], [1, 1], [-1816187/1048576, -3632373/2097152]]]], [[10, 16,
2, 5, 3], [v = 2^(1/2), u = 3^(1/2), x = -2, 0 < y, And(-(y+2)^(1/2) < z,z < (
y+2)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [908093/
524288, 1816187/1048576], [-2, -2], [1, 1], [-1/4194304, -1/4194304]]]], [[10,
16, 2, 5, 4], [v = 2^(1/2), u = 3^(1/2), x = -2, 0 < y, z = (y+2)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-2, -2], [1, 1], [908093/524288, 1816187/1048576]]]], [[10, 16, 2,
5, 5], [v = 2^(1/2), u = 3^(1/2), x = -2, 0 < y, (y+2)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-2, -2], [1, 1], [3, 3]]]], [[10, 18, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 1, 8, 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, 8, 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, 8, 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, 8,
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, 8, 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, 19, 10, 2, 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, 2, 5, 1], [2^(1/2) < v, u = -v, x = -1, 0 < y, z < -(y+1)^(1/2
)], [regular_chain, [[3, 3], [-3, -3], [-1, -1], [1, 1], [-3, -3]]]], [[11, 6,
2, 5, 2], [2^(1/2) < v, u = -v, x = -1, 0 < y, z = -(y+1)^(1/2)], [
regular_chain, [[3, 3], [-3, -3], [-1, -1], [1, 1], [-1482911/1048576, -741455
/524288]]]], [[11, 6, 2, 5, 3], [2^(1/2) < v, u = -v, x = -1, 0 < y, And(-(y+1
)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[3, 3], [-3, -3], [-1, -1], [1
, 1], [0, 0]]]], [[11, 6, 2, 5, 4], [2^(1/2) < v, u = -v, x = -1, 0 < y, z = (
y+1)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [-1, -1], [1, 1], [741455/
524288, 1482911/1048576]]]], [[11, 6, 2, 5, 5], [2^(1/2) < v, u = -v, x = -1,
0 < y, (y+1)^(1/2) < z], [regular_chain, [[3, 3], [-3, -3], [-1, -1], [1, 1],
[3, 3]]]], [[11, 8, 4, 1, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -1, y < -1
, z = z], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1,
-1], [-2, -2], [0, 0]]]], [[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 = 0, z = z], [regular_chain, [[3,
3], [0, 0], [9, 9], [0, 0], [0, 0]]]], [[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 < -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], [3696261/2097152, 
3696261/2097152], [-3, -3]]]], [[11, 13, 8, 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^2-1 < y,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], [3696261/2097152, 3696261/
2097152], [-1174299/1048576, -587149/524288]]]], [[11, 13, 8, 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^2-1
< 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], [1435023/524288, 1435023/524288], [133259/262144, 
533037/1048576], [3696261/2097152, 3696261/2097152], [0, 0]]]], [[11, 13, 8, 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^2-1 < y,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],
[3696261/2097152, 3696261/2097152], [587149/524288, 1174299/1048576]]]], [[11,
13, 8, 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^2-1 < y,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], [3696261/2097152, 3696261/2097152], [3, 3]]]], [[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
= 0, z = z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [
129511/262144, 518045/1048576], [0, 0], [0, 0]]]], [[11, 21, 5, 5, 1], [2^(1/2
) < v, (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x
< y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x <
y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = x, z < 0], [regular_chain, [[-3, -\
3], [-5, -5], [-18, -18], [-18, -18], [-1, -1]]]], [[1, 1, 1, 4, 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, 4, 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, 7, 1], [v < -2^(1
/2), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), z < -(y-x)^(1/2
)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [1/2, 1/2]
, [2, 2], [-3, -3]]]], [[1, 2, 7, 7, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), 
And(0 < x,x < 1), And(x < y,y < x+3), z = -(y-x)^(1/2)], [regular_chain, [[-3,
-3], [-1738867/524288, -3477733/1048576], [1/2, 1/2], [2, 2], [-1284239/
1048576, -642119/524288]]]], [[1, 2, 7, 7, 3], [v < -2^(1/2), u = -(v^2+2)^(1/
2), And(0 < x,x < 1), And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2)
)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [1/2, 1/2]
, [2, 2], [0, 0]]]], [[1, 2, 7, 7, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(
0 < x,x < 1), And(x < y,y < x+3), z = (y-x)^(1/2)], [regular_chain, [[-3, -3],
[-1738867/524288, -3477733/1048576], [1/2, 1/2], [2, 2], [642119/524288, 
1284239/1048576]]]], [[1, 2, 7, 7, 5], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(
0 < x,x < 1), And(x < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[-3, -3],
[-1738867/524288, -3477733/1048576], [1/2, 1/2], [2, 2], [3, 3]]]], [[1, 8, 6,
5, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 0, 2 < y, z < -y^(1/2)], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [0, 0], [3, 3
], [-3, -3]]]], [[1, 8, 6, 5, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 0, 2
< y, z = -y^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [0, 0], [3, 3], [-1816187/1048576, -3632373/2097152]]]], [[1, 8, 6,
5, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 0, 2 < y, 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, 5, 4], [v < -2^(1/2), u
= -(v^2-1)^(1/2), x = 0, 2 < y, z = y^(1/2)], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [0, 0], [3, 3], [908093/524288, 1816187/
1048576]]]], [[1, 8, 6, 5, 5], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 0, 2 < y
, y^(1/2) < z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [0, 0], [3, 3], [3, 3]]]], [[1, 10, 4, 7, 1], [v < -2^(1/2), u = -(v
^2-2)^(1/2), x = -1, And(0 < y,y < 2), z < -(y+1)^(1/2)], [regular_chain, [[-3
, -3], [-5548543/2097152, -2774271/1048576], [-1, -1], [1, 1], [-3, -3]]]], [[
1, 10, 4, 7, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -1, And(0 < y,y < 2),
z = -(y+1)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/
1048576], [-1, -1], [1, 1], [-1482911/1048576, -741455/524288]]]], [[1, 10, 4,
7, 3], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -1, And(0 < y,y < 2), And(-(y+1)
^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-3, -3], [-5548543/2097152, -\
2774271/1048576], [-1, -1], [1, 1], [0, 0]]]], [[1, 10, 4, 7, 4], [v < -2^(1/2
), u = -(v^2-2)^(1/2), x = -1, And(0 < y,y < 2), z = (y+1)^(1/2)], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1, -1], [1,
1], [741455/524288, 1482911/1048576]]]], [[1, 10, 4, 7, 5], [v < -2^(1/2), u =
-(v^2-2)^(1/2), x = -1, And(0 < y,y < 2), (y+1)^(1/2) < z], [regular_chain, [[
-3, -3], [-5548543/2097152, -2774271/1048576], [-1, -1], [1, 1], [3, 3]]]], [[
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(1 < y,y < -u^2+v^2+2), z < -(y-1)^(1/2)], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [1, 1], [1181835/524288, 1181835/524288], [-3
, -3]]]], [[1, 13, 10, 7, 2], [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 = -(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, 7, 3], [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
), 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, 7, 4], [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 = (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, 7, 5], [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), (y-1)^(1/
2) < z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1, 1],
[1181835/524288, 1181835/524288], [3, 3]]]], [[1, 15, 10, 1, 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], [-1, -1], [0, 0]]]], [[1, 21,
7, 7, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(x < y,y < u^
2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [1/2, 1/2],
[9, 9], [-4, -4]]]], [[1, 21, 7, 7, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(
0 < x,x < 1), And(x < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [
[-3, -3], [5, 5], [1/2, 1/2], [9, 9], [-24456785/8388608, -1528549/524288]]]],
[[1, 21, 7, 7, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(x <
y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
-3, -3], [5, 5], [1/2, 1/2], [9, 9], [0, 0]]]], [[1, 21, 7, 7, 4], [v < -2^(1/
2), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(x < y,y < u^2-v^2+x+1), z = (y-x)
^(1/2)], [regular_chain, [[-3, -3], [5, 5], [1/2, 1/2], [9, 9], [1528549/
524288, 3057099/1048576]]]], [[1, 21, 7, 7, 5], [v < -2^(1/2), (v^2+2)^(1/2) <
u, And(0 < x,x < 1), And(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [5, 5], [1/2, 1/2], [9, 9], [4, 4]]]], [[2, 2, 3, 1,
1], [v = -2^(1/2), u = -2, And(-3 < x,x < -1), y < x-1, z = z], [regular_chain
, [[-1482911/1048576, -741455/524288], [-2, -2], [-2, -2], [-4, -4], [0, 0]]]]
, [[2, 9, 10, 2, 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, 5, 1], [v = -2^(1/2), And(0 < u,u < 1), And(0 < x,x
< -u^2+1), And(0 < y,y < x), 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 = x-u^2+3
, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [505467/2097152, 505467/2097152], [-126367/524288,
-252733/1048576], [0, 0]]]], [[2, 19, 4, 5, 1], [v = -2^(1/2), 2 < u, x = -1,
And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y
< 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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(0 < y,y < u^2-v^2-1), 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, 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 = x-u^2+v^2+1, z < -(-u^2+v^2+1
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-558339/2097152, -558339/2097152], [279169/
1048576, 139585/524288], [-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 = x-u^2+v^2+1,
z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/2097152], [
279169/1048576, 139585/524288], [-1530309/2097152, -382577/524288]]]], [[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 = x-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], [-558339/2097152, -558339/2097152], [279169/
1048576, 139585/524288], [0, 0]]]], [[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 = x-u^2+v^2+1, z
= (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/2097152], [
279169/1048576, 139585/524288], [382577/524288, 765155/1048576]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
558339/2097152, -558339/2097152], [279169/1048576, 139585/524288], [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(x < y,y < 0), z < -(y-x)^(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, 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(x < y,y < 0), z = -(y-x)^(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, 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(
x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(x < y,y < 0), z = (y-x)^(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, 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(x < y,y < 0), (y-x)^
(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, 2, 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, 2, 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, 2, 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, 5, 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 < x-u^2+v^2+1), z < -(y-x)^(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(x < y,
y < x-u^2+v^2+1), z = -(y-x)^(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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < x-u^2+v^2+1), z = (y-x)^(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(x < y,y < x-u^2+v^2+1), (y-x)^(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 =
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], [1550541/524288, 3101083/1048576], [-3, -3]]]], [[3, 15, 8, 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 = 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], [1550541/524288, 3101083/1048576], [-3301741/2097152, -825435/
524288]]]], [[3, 15, 8, 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 = 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], [
1550541/524288, 3101083/1048576], [0, 0]]]], [[3, 15, 8, 6, 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], [
1550541/524288, 3101083/1048576], [825435/524288, 1650871/1048576]]]], [[3, 15
, 8, 6, 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], [1550541/524288, 3101083/1048576], [3, 3]]]], [[4, 3,
9, 7, 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), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [1546383/2097152, 1546383/2097152], [4141341/
2097152, 4141341/2097152], [-3, -3]]]], [[4, 3, 9, 7, 2], [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), z = -(y-x)^(1
/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [
1546383/2097152, 1546383/2097152], [4141341/2097152, 4141341/2097152], [-\
145801/131072, -1166407/1048576]]]], [[4, 3, 9, 7, 3], [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), And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [1546383/2097152, 1546383/2097152], [4141341/2097152, 4141341/
2097152], [0, 0]]]], [[4, 3, 9, 7, 4], [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), z = (y-x)^(1/2)], [regular_chain
, [[-1, -1], [-6598195/4194304, -6598195/4194304], [1546383/2097152, 1546383/
2097152], [4141341/2097152, 4141341/2097152], [1166407/1048576, 145801/131072]
]]], [[4, 3, 9, 7, 5], [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), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [1546383/2097152, 1546383/2097152], [
4141341/2097152, 4141341/2097152], [3, 3]]]], [[4, 5, 9, 1, 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], [-1, -1], [0, 0]]]], [[4,
9, 9, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 10, 5, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = 1,
And(1 < y,y < -u^2+3), 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(1 < y,y
< -u^2+3), 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(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], [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(1 < y,y < -u^2+3), 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(1 < y,y < -u^2+3), (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 = -4, z = z], [regular_chain, [[-\
1/2, -1/2], [-3/2, -3/2], [-3, -3], [-4, -4], [0, 0]]]], [[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(1 <
y,y < u^2-v^2+2), 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, 7, 2], [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 = -(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, 7, 3], [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), 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, 7, 4], [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 = (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, 7, 5], [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), (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, 10, 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, 10, 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, 10, 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]]]], [[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 < -(y-x)^(
1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [1/2, 1/2], [12, 12], [-5, -5]]]
], [[5, 13, 7, 9, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(0 < x,x < 1),
u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [1/
2, 1/2], [12, 12], [-3555895/1048576, -1777947/524288]]]], [[5, 13, 7, 9, 3],
[And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(0 < x,x < 1), u^2-v^2+x+1 < y, And(
-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [3, 3], [1/
2, 1/2], [12, 12], [0, 0]]]], [[5, 13, 7, 9, 4], [And(-1 < v,v < 0), (v^2+2)^(
1/2) < u, And(0 < x,x < 1), u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain,
[[-1/2, -1/2], [3, 3], [1/2, 1/2], [12, 12], [1777947/524288, 3555895/1048576]
]]], [[5, 13, 7, 9, 5], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(0 < x,x < 1
), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3, 3], [
1/2, 1/2], [12, 12], [5, 5]]]], [[6, 5, 10, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 11, 7, 1], [v = 0, And(0 < u,u < 1), 1 < x,
And(x-u^2+1 < y,y < u^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [1/2
, 1/2], [2, 2], [3, 3], [-2, -2]]]], [[6, 7, 11, 7, 2], [v = 0, And(0 < u,u <
1), 1 < x, And(x-u^2+1 < y,y < u^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[
0, 0], [1/2, 1/2], [2, 2], [3, 3], [-1, -1]]]], [[6, 7, 11, 7, 3], [v = 0, And
(0 < u,u < 1), 1 < x, And(x-u^2+1 < y,y < u^2+x+1), And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [2, 2], [3, 3], [0, 0]]]],
[[6, 7, 11, 7, 4], [v = 0, And(0 < u,u < 1), 1 < x, And(x-u^2+1 < y,y < u^2+x+
1), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [2, 2], [3, 3], [1,
1]]]], [[6, 7, 11, 7, 5], [v = 0, And(0 < u,u < 1), 1 < x, And(x-u^2+1 < y,y <
u^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [2, 2], [3, 3
], [2, 2]]]], [[6, 11, 8, 7, 1], [v = 0, 2^(1/2) < u, x = 1, And(1 < y,y < u^2
+2), z < -(y-1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [1, 1], [6, 6], [-4,
-4]]]], [[6, 11, 8, 7, 2], [v = 0, 2^(1/2) < u, x = 1, And(1 < y,y < u^2+2), z
= -(y-1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [1, 1], [6, 6], [-146543/
65536, -2344687/1048576]]]], [[6, 11, 8, 7, 3], [v = 0, 2^(1/2) < u, x = 1, 
And(1 < y,y < u^2+2), 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, 7, 4], [v = 0, 2^(1/2)
< u, x = 1, And(1 < y,y < u^2+2), z = (y-1)^(1/2)], [regular_chain, [[0, 0], [
3, 3], [1, 1], [6, 6], [2344687/1048576, 146543/65536]]]], [[6, 11, 8, 7, 5],
[v = 0, 2^(1/2) < u, x = 1, And(1 < y,y < u^2+2), (y-1)^(1/2) < z], [
regular_chain, [[0, 0], [3, 3], [1, 1], [6, 6], [4, 4]]]], [[7, 2, 4, 1, 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], [-3, -3], [0, 0]]]], [[7, 8, 1, 5, 1], [
And(0 < v,v < 1), u = v, x < -1, And(x+1 < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2, -2], [-1/2, -1/2], [-3, -3]]]], [
[7, 8, 1, 5, 2], [And(0 < v,v < 1), u = v, x < -1, And(x+1 < y,y < 0), z = -(y
-x)^(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, 5, 3], [And(0 < v,v < 1), u =
v, x < -1, And(x+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2, -2], [-1/2, -1/2], [0, 0]]]], [[7
, 8, 1, 5, 4], [And(0 < v,v < 1), u = v, x < -1, And(x+1 < y,y < 0), z = (y-x)
^(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, 5, 5], [And(0 < v,v < 1), u = v
, x < -1, And(x+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
1/2, 1/2], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[7, 10, 3, 1, 1], [And(0 < v,v
< 1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y < x, z = z], [regular_chain, [[
1/2, 1/2], [1172343/1048576, 146543/131072], [-3/2, -3/2], [-3, -3], [0, 0]]]]
, [[7, 10, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 3, 1], [v = 1
, u = -2^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/
4, -1/4], [-2, -2]]]], [[8, 4, 5, 3, 2], [v = 1, u = -2^(1/2), And(-1 < x,x <
0), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v = 1, u = -2^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), And(-(y-x
)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-1/4, -1/4], [0, 0]]]], [[8, 4, 5, 3, 4], [v =
1, u = -2^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = 1, u = -2^(1/2), And(-1 < x,x
< 0), And(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [-1/2, -1/2], [-1/4, -1/4], [2, 2]]]], [[8, 6, 3, 7,
1], [v = 1, u = -1, And(-1 < x,x < 0), x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [-1, -1], [-1/2, -1/2], [2, 2], [-3, -3]]]], [[8, 6, 3
, 7, 2], [v = 1, u = -1, And(-1 < x,x < 0), x+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[1, 1], [-1, -1], [-1/2, -1/2], [2, 2], [-3315889/2097152, -\
207243/131072]]]], [[8, 6, 3, 7, 3], [v = 1, u = -1, And(-1 < x,x < 0), x+1 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-1, -1],
[-1/2, -1/2], [2, 2], [0, 0]]]], [[8, 6, 3, 7, 4], [v = 1, u = -1, And(-1 < x,
x < 0), x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [-1/2, -\
1/2], [2, 2], [207243/131072, 1657945/1048576]]]], [[8, 6, 3, 7, 5], [v = 1, u
= -1, And(-1 < x,x < 0), x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [
-1, -1], [-1/2, -1/2], [2, 2], [3, 3]]]], [[8, 10, 5, 2, 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, 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 < 0, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [1, 1], [-1,
-1], [0, 0]]]], [[9, 4, 6, 1, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2),
x = 0, y < 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
410915/262144, -3287319/2097152], [0, 0], [-1, -1], [0, 0]]]], [[9, 12, 4, 2,
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, 2, 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, 2, 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, 4, 6, 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, 6
, 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, 6, 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, 6
, 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, 6,
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, 7, 5, 1], [v = 2^(1/2), u = -2,
And(0 < x,x < 1), And(0 < y,y < x), 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 < y,y < 0), z < -(y-x
)^(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, 3, 2
], [v = 2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z = -(y-x)
^(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, 3,
3], [v = 2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), And(-(y-x
)^(1/2) < z,z < (y-x)^(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, 3, 4], [v = 2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), And
(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = 2^(1/2), u = -3^(1/2), And(-1 < x,x < 0),
And(x < y,y < 0), (y-x)^(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, 3, 1], [v = 2^(1/2), u = -1, x = 0, And(0 < y,y < 2), 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(0 <
y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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 = z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-1, -1], [
-3, -3], [0, 0]]]], [[10, 16, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 1, 1], [v = 2^(1/2), u = 2
, x < -3, y < x-1, z = z], [regular_chain, [[741455/524288, 1482911/1048576],
[2, 2], [-4, -4], [-6, -6], [0, 0]]]], [[10, 18, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = 2^(1/2), 2 < u, x = u^2-3, And(u^2-3 < y,y
< 2*u^2-4), z < -(y-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [6, 6], [10, 10], [-3, -3]]]], [[10, 19, 10, 5, 2], [v = 2^(
1/2), 2 < u, x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), z = -(y-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [6, 6], [10, 10], [-\
2, -2]]]], [[10, 19, 10, 5, 3], [v = 2^(1/2), 2 < u, x = u^2-3, And(u^2-3 < y,
y < 2*u^2-4), And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+3)^(1/2))], [regular_chain,
[[741455/524288, 1482911/1048576], [3, 3], [6, 6], [10, 10], [0, 0]]]], [[10,
19, 10, 5, 4], [v = 2^(1/2), 2 < u, x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), z =
(y-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [
6, 6], [10, 10], [2, 2]]]], [[10, 19, 10, 5, 5], [v = 2^(1/2), 2 < u, x = u^2-\
3, And(u^2-3 < y,y < 2*u^2-4), (y-u^2+3)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [6, 6], [10, 10], [3, 3]]]], [[11, 6, 3, 5,
1], [2^(1/2) < v, u = -v, And(-1 < x,x < 0), And(0 < y,y < x+1), z < -(y-x)^(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+
1), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2], [1/4,
1/4], [-1816187/2097152, -3632373/4194304]]]], [[11, 6, 3, 5, 3], [2^(1/2) < v
, u = -v, And(-1 < x,x < 0), And(0 < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x
)^(1/2))], [regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [-1/
8388608, -1/8388608]]]], [[11, 6, 3, 5, 4], [2^(1/2) < v, u = -v, And(-1 < x,x
< 0), And(0 < y,y < x+1), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-3, -3],
[-1/2, -1/2], [1/4, 1/4], [908093/1048576, 454047/524288]]]], [[11, 6, 3, 5, 5
], [2^(1/2) < v, u = -v, And(-1 < x,x < 0), And(0 < y,y < x+1), (y-x)^(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 < 0], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1, -1], [-1,
-1], [-1, -1]]]], [[11, 8, 4, 2, 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, 2, 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, 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, x-u^2+v^2+1
< y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [0, 0], [9, 9], [20, 20], [-5
, -5]]]], [[11, 11, 11, 9, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2
)^(1/2)), -u^2+v^2-1 < x, x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain,
[[3, 3], [0, 0], [9, 9], [20, 20], [-1738867/524288, -3477733/1048576]]]], [[
11, 11, 11, 9, 3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), -u
^2+v^2-1 < x, x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [0, 0], [9, 9], [20, 20], [0, 0]]]], [[11, 11, 11, 9,
4], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, x
-u^2+v^2+1 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [0, 0], [9, 9], [20
, 20], [3477733/1048576, 1738867/524288]]]], [[11, 11, 11, 9, 5], [2^(1/2) < v
, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, x-u^2+v^2+1 < y,
(y-x)^(1/2) < z], [regular_chain, [[3, 3], [0, 0], [9, 9], [20, 20], [5, 5]]]]
, [[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 < 0, z = z], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [1581613/2097152, 1581613/2097152], [-1, -1], [0, 0]]
]], [[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, 2*u^2-2*v^2 < y, z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [
[3, 3], [3396811/1048576, 3396811/1048576], [129511/262144, 518045/1048576], [
4, 4], [-3, -3]]]], [[11, 19, 8, 7, 2], [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 = -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511/262144, 
518045/1048576], [4, 4], [-7853497/4194304, -981687/524288]]]], [[11, 19, 8, 7
, 3], [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, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511/262144, 
518045/1048576], [4, 4], [0, 0]]]], [[11, 19, 8, 7, 4], [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 = (y-u^2+v
^2+1)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [
129511/262144, 518045/1048576], [4, 4], [981687/524288, 1963375/1048576]]]], [
[11, 19, 8, 7, 5], [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, (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3],
[3396811/1048576, 3396811/1048576], [129511/262144, 518045/1048576], [4, 4], [
3, 3]]]], [[11, 21, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1, 1], [v < -2^(1/2), u = -(
v^2+1)^(1/2), And(-1 < x,x < 0), y < x, z = z], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[1, 6, 4,
2, 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, 2, 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, 2, 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, 2,
1], [v < -2^(1/2), u = (v^2-2)^(1/2), x < -3, y = x-1, z = z], [regular_chain,
[[-3, -3], [2774271/1048576, 10837/4096], [-4, -4], [-5, -5], [0, 0]]]], [[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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1581613/2097152,
1581613/2097152], [4211801/2097152, 4211801/2097152], [-3, -3]]]], [[1, 13, 9,
7, 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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[-\
3, -3], [1435023/524288, 1435023/524288], [1581613/2097152, 1581613/2097152],
[4211801/2097152, 4211801/2097152], [-1174299/1048576, -587149/524288]]]], [[1
, 13, 9, 7, 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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-
x)^(1/2))], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [
1581613/2097152, 1581613/2097152], [4211801/2097152, 4211801/2097152], [0, 0]]
]], [[1, 13, 9, 7, 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(x < y,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1581613/2097152,
1581613/2097152], [4211801/2097152, 4211801/2097152], [587149/524288, 1174299/
1048576]]]], [[1, 13, 9, 7, 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(x < y,y < x-u^2+v^2+1), (y-x)^(1/2)
< z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1581613/
2097152, 1581613/2097152], [4211801/2097152, 4211801/2097152], [3, 3]]]], [[1,
17, 10, 1, 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], [-1, -1
], [0, 0]]]], [[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-u^2+v^2+1, z = z], [regular_chain,
[[-3, -3], [3396811/1048576, 3396811/1048576], [1566621/2097152, 1566621/
2097152], [132633/524288, 265267/1048576], [0, 0]]]], [[2, 3, 10, 5, 1], [v =
-2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, And(-u^2+4 < y,y < 1), 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 = u^2
+x-1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-6598195/4194304, -6598195/4194304], [1/2, 1/2], [1035335/524288, 2070671/
1048576], [-3, -3]]]], [[2, 5, 9, 8, 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], [1035335/524288, 2070671/1048576], [-636691/524288, -1273381/1048576]]]]
, [[2, 5, 9, 8, 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], [1035335/524288, 2070671/1048576], [0, 0]]]], [[2, 5, 9, 8, 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], [1035335/524288, 2070671/1048576], [1273381/
1048576, 636691/524288]]]], [[2, 5, 9, 8, 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], [1035335/524288, 2070671/1048576], [3, 3]]]], [[2, 5, 10, 8, 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], [1297479/524288, 2594959/1048576], [-3, -3]]]], [[2,
5, 10, 8, 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], [1297479/524288, 2594959/1048576], [-\
636691/524288, -1273381/1048576]]]], [[2, 5, 10, 8, 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], [1297479/524288, 2594959/1048576], [0, 0]]]], [[2, 5
, 10, 8, 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], [1297479/524288, 2594959/1048576], [
1273381/1048576, 636691/524288]]]], [[2, 5, 10, 8, 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]
, [1297479/524288, 2594959/1048576], [3, 3]]]], [[2, 7, 11, 7, 1], [v = -2^(1/
2), And(v < u,u < -1), 1 < x, And(u^2+x-1 < y,y < x-u^2+3), z < -(y-x)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [2, 2], [3, 3], [-2, -2]]]], [[2, 7, 11, 7, 2], [v = -2^(1/2
), And(v < u,u < -1), 1 < x, And(u^2+x-1 < y,y < x-u^2+3), z = -(y-x)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [2, 2], [3, 3], [-1, -1]]]], [[2, 7, 11, 7, 3], [v = -2^(1/2
), And(v < u,u < -1), 1 < x, And(u^2+x-1 < y,y < x-u^2+3), And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [2, 2], [3, 3], [0, 0]]]], [[2, 7, 11, 7,
4], [v = -2^(1/2), And(v < u,u < -1), 1 < x, And(u^2+x-1 < y,y < x-u^2+3), z =
(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [2, 2], [3, 3], [1, 1]]]], [[2, 7, 11, 7, 5], [v =
-2^(1/2), And(v < u,u < -1), 1 < x, And(u^2+x-1 < y,y < x-u^2+3), (y-x)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576,
-1265743/1048576], [2, 2], [3, 3], [2, 2]]]], [[2, 13, 7, 8, 1], [v = -2^(1/2)
, And(1 < u,u < -v), And(-u^2+1 < x,x < 0), y = x-u^2+3, z < -(-u^2+3)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743
/1048576], [-239655/1048576, -239655/1048576], [689093/524288, 1378187/1048576
], [-3, -3]]]], [[2, 13, 7, 8, 2], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+
1 < x,x < 0), y = x-u^2+3, z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-239655/1048576
, -239655/1048576], [689093/524288, 1378187/1048576], [-1302471/1048576, -\
651235/524288]]]], [[2, 13, 7, 8, 3], [v = -2^(1/2), And(1 < u,u < -v), And(-u
^2+1 < x,x < 0), y = x-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], [-239655/1048576, -239655/1048576], [689093/524288, 1378187/1048576]
, [0, 0]]]], [[2, 13, 7, 8, 4], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 <
x,x < 0), y = x-u^2+3, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [1265743/1048576, 1265743/1048576], [-239655/1048576, -\
239655/1048576], [689093/524288, 1378187/1048576], [651235/524288, 1302471/
1048576]]]], [[2, 13, 7, 8, 5], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 <
x,x < 0), y = x-u^2+3, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576
, -741455/524288], [1265743/1048576, 1265743/1048576], [-239655/1048576, -\
239655/1048576], [689093/524288, 1378187/1048576], [3, 3]]]], [[2, 15, 8, 7, 1
], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 0, u^2-1 < y, z < -y^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [0, 0], [3, 3], [-3, -3]]]], [[2, 15, 8, 7, 2], [v = -2^(1/2), And(-
v < u,u < 3^(1/2)), x = 0, u^2-1 < y, 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, 7, 3], [v = -2^(1
/2), And(-v < u,u < 3^(1/2)), x = 0, u^2-1 < y, 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, 7,
4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 0, u^2-1 < y, 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, 7,
5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 0, u^2-1 < y, y^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [0, 0], [3, 3], [3, 3]]]], [[2, 19, 5, 5, 1], [v = -2^(1/2), 2 < u,
And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y <
0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y
-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y
< 0), (y-x)^(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 = u^2-v^2+x+1, z < -(u^2-v^2
+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [
8, 8], [17346481/1048576, 8673241/524288], [-4, -4]]]], [[3, 1, 11, 8, 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], [17346481/1048576, 8673241/524288], [-1532401/524288, -\
24518415/8388608]]]], [[3, 1, 11, 8, 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], [17346481/1048576, 8673241/524288], [-7/16777216, -7/16777216]]]],
[[3, 1, 11, 8, 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], [17346481/1048576, 8673241/524288], [
3064801/1048576, 1532401/524288]]]], [[3, 1, 11, 8, 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], [
17346481/1048576, 8673241/524288], [4, 4]]]], [[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(u^2-v^2+x+1
< y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/2, 1/2], [3/2, 3/2]
, [-2, -2]]]], [[3, 7, 9, 7, 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-u^2+v^2+1), z = -(y-x
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]], [[3, 7, 9, 7,
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-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[3, 7, 9, 7, 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-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/2, 1/2],
[3/2, 3/2], [1, 1]]]], [[3, 7, 9, 7, 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-u^2+v^2+1), (
y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[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 < 0, z = z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152], [-1, -1], [0,
0]]]], [[3, 17, 5, 1, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-1
< x,x < 0), y < x-u^2+v^2+1, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [-1/2, -1/2], [-9, -9], [0, 0]]]], [[4, 1, 11, 4, 1]
, [v = -1, u < -3^(1/2), u^2-2 < x, y = x-u^2+2, z = z], [regular_chain, [[-1,
-1], [-3, -3], [8, 8], [1, 1], [0, 0]]]], [[4, 7, 9, 1, 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], [-1, -1], [0, 0]]]], [[4, 9, 8, 2, 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, 2, 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, 2, 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, 8, 7, 1], [v = -1, 
And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, 2*u^2-2 < y, z < -(y-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [497805/1048576,
248903/524288], [4, 4], [-3, -3]]]], [[4, 13, 8, 7, 2], [v = -1, And(2^(1/2) <
u,u < 3^(1/2)), x = u^2-2, 2*u^2-2 < y, z = -(y-u^2+2)^(1/2)], [regular_chain,
[[-1, -1], [3299097/2097152, 3299097/2097152], [497805/1048576, 248903/524288]
, [4, 4], [-15750169/8388608, -1968771/1048576]]]], [[4, 13, 8, 7, 3], [v = -1
, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, 2*u^2-2 < y, And(-(y-u^2+2)^(1/2) <
z,z < (y-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [497805/1048576, 248903/524288], [4, 4], [0, 0]]]], [[4, 13, 8, 7, 4
], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, 2*u^2-2 < y, z = (y-u^2+2
)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [
497805/1048576, 248903/524288], [4, 4], [1968771/1048576, 492193/262144]]]], [
[4, 13, 8, 7, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, 2*u^2-2 <
y, (y-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [497805/1048576, 248903/524288], [4, 4], [3, 3]]]], [[4, 15, 6, 1, 1
], [v = -1, 3^(1/2) < u, x = 0, y < -u^2+2, z = z], [regular_chain, [[-1, -1],
[3, 3], [0, 0], [-8, -8], [0, 0]]]], [[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 = 0, z = z], [regular_chain, [
[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2], [0, 0], [0, 0]
]]], [[5, 7, 10, 1, 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], [-1, -1], [0, 0]]]], [[5,
7, 11, 3, 1], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, And(0 < y,y < x),
z = z], [regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [1, 1], [0, 0]]]], [[5,
10, 1, 2, 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, 2, 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, 2, 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, 4, 1,
1], [v = 0, u = -2^(1/2), x = -1, y < -2, z = z], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [-1, -1], [-3, -3], [0, 0]]]], [[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 = -2, z < 0], [
regular_chain, [[0, 0], [1, 1], [-2, -2], [-2, -2], [-1, -1]]]], [[6, 8, 2, 2,
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, 2, 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, 3, 1], [v = 0, u = 2^(1/2), x < -3, And(x-1 < y,y < x), z = z], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-4, -4], [-9/2, -9/
2], [0, 0]]]], [[7, 4, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 6, 1, 5,
1], [And(0 < v,v < 1), u = -v, x < -1, And(x+1 < y,y < 0), z < -(y-x)^(1/2)],
[regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [-1/2, -1/2], [-3, -3]]]]
, [[7, 6, 1, 5, 2], [And(0 < v,v < 1), u = -v, x < -1, And(x+1 < y,y < 0), z =
-(y-x)^(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, 5, 3], [And(0 < v,v < 1)
, u = -v, x < -1, And(x+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [-1/2, -1/2], [0, 0]]]],
[[7, 6, 1, 5, 4], [And(0 < v,v < 1), u = -v, x < -1, And(x+1 < y,y < 0), z = (
y-x)^(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, 5, 5], [And(0 < v,v < 1), u
= -v, x < -1, And(x+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2
], [-1/2, -1/2], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[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 < 2*u^2-2*v^
2), z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [31/4, 31/
4], [101/8, 101/8], [-4, -4]]]], [[7, 13, 10, 5, 2], [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 = -(y-u^2+v^
2+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, 5, 3], [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), And(-
(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2]
, [3, 3], [31/4, 31/4], [101/8, 101/8], [0, 0]]]], [[7, 13, 10, 5, 4], [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 = (y-u^2+v^2+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, 5, 5], [
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), (y-u^2+v^2+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, 4, 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, 4, 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, 4, 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, 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 < x, z = z], [
regular_chain, [[1, 1], [1, 1], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[8, 14, 3,
4, 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, 4, 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, 4, 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, 3, 1], [v = 1, 3^(1/2) < u, u^2-2 < x, And(0
< y,y < x-u^2+2), z = z], [regular_chain, [[1, 1], [3, 3], [8, 8], [1/2, 1/2],
[0, 0]]]], [[9, 6, 4, 5, 1], [And(1 < v,v < 2^(1/2)), u = -v, x = 0, 1 < y, z
< -y^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/
1048576, -1265743/1048576], [0, 0], [2, 2], [-3, -3]]]], [[9, 6, 4, 5, 2], [
And(1 < v,v < 2^(1/2)), u = -v, x = 0, 1 < y, 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, 5, 3], [And(1 <
v,v < 2^(1/2)), u = -v, x = 0, 1 < y, 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, 5, 4], [And(1 < v,v <
2^(1/2)), u = -v, x = 0, 1 < y, 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, 5, 5], [And(1 < v,v < 2^(1/
2)), u = -v, x = 0, 1 < y, y^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [2, 2], [3, 3]
]]], [[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, 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, 2, 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, 2, 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, 7, 3,
1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(0 < y,y
< x), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[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+2), z < -(y-x)^(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, 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+2), z = -(y-x)^(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, 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+2), And(-(y-x)^(1/2)
< z,z < (y-x)^(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, 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+2), z = (y-x)^(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, 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+2), (y-x)^(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, 7, 1], [And(1 < v,v
< 2^(1/2)), u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 2), z < -(y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-1, -1], [1, 1], [-3, -3]]]], [[9, 16, 4, 7, 2], [And(1 < v,v < 2^(
1/2)), u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 2), z = -(y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-1, -1], [1, 1], [-1482911/1048576, -741455/524288]]]], [[9, 16, 4,
7, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 2), 
And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [121853/65536, 1949649/1048576], [-1, -1], [1, 1], [0, 0]]]]
, [[9, 16, 4, 7, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -1, And(0
< y,y < 2), z = (y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [121853/65536, 1949649/1048576], [-1, -1], [1, 1], [741455/524288, 
1482911/1048576]]]], [[9, 16, 4, 7, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(
1/2), x = -1, And(0 < y,y < 2), (y+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-1, -1], [1, 1],
[3, 3]]]], [[10, 1, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 < 0, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [1, 1], [
-1, -1], [0, 0]]]], [[10, 12, 3, 5, 1], [v = 2^(1/2), u = 1, And(-2 < x,x < -1
), And(0 < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [-3/2, -3/2], [1/4, 1/4], [-3, -3]]]], [[10, 12, 3,
5, 2], [v = 2^(1/2), u = 1, And(-2 < x,x < -1), And(0 < y,y < x+2), z = -(y-x)
^(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, 5, 3], [v = 2
^(1/2), u = 1, And(-2 < x,x < -1), And(0 < y,y < x+2), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-\
3/2, -3/2], [1/4, 1/4], [0, 0]]]], [[10, 12, 3, 5, 4], [v = 2^(1/2), u = 1, 
And(-2 < x,x < -1), And(0 < y,y < x+2), z = (y-x)^(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, 5, 5], [v = 2^(1/2), u = 1, And(-2 < x,x
< -1), And(0 < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[741455/524288,
1482911/1048576], [1, 1], [-3/2, -3/2], [1/4, 1/4], [3, 3]]]], [[10, 14, 1, 7,
1], [v = 2^(1/2), u = v, x < -1, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-2, -2], [
1, 1], [-3, -3]]]], [[10, 14, 1, 7, 2], [v = 2^(1/2), u = v, x < -1, 0 < y, z
= -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [741455/
524288, 1482911/1048576], [-2, -2], [1, 1], [-1816187/1048576, -3632373/
2097152]]]], [[10, 14, 1, 7, 3], [v = 2^(1/2), u = v, x < -1, 0 < y, And(-(y-x
)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [741455/524288, 1482911/1048576], [-2, -2], [1, 1], [-1/4194304, -1/
4194304]]]], [[10, 14, 1, 7, 4], [v = 2^(1/2), u = v, x < -1, 0 < y, z = (y-x)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 
1482911/1048576], [-2, -2], [1, 1], [908093/524288, 1816187/1048576]]]], [[10,
14, 1, 7, 5], [v = 2^(1/2), u = v, x < -1, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-2, -2], [1, 1], [3, 3]]]], [[11, 2, 5, 4, 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, 4, 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, 4, 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, 2,
5, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -2, 0 < y, z < -(y+2)^(1/2)], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-2, -2], [1, 1], [
-3, -3]]]], [[11, 4, 2, 5, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -2, 0 < y
, z = -(y+2)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536
], [-2, -2], [1, 1], [-1816187/1048576, -3632373/2097152]]]], [[11, 4, 2, 5, 3
], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -2, 0 < y, And(-(y+2)^(1/2) < z,z < (
y+2)^(1/2))], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-2,
-2], [1, 1], [-1/4194304, -1/4194304]]]], [[11, 4, 2, 5, 4], [2^(1/2) < v, u =
-(v^2+1)^(1/2), x = -2, 0 < y, z = (y+2)^(1/2)], [regular_chain, [[3, 3], [-\
3315889/1048576, -207243/65536], [-2, -2], [1, 1], [908093/524288, 1816187/
1048576]]]], [[11, 4, 2, 5, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -2, 0 <
y, (y+2)^(1/2) < z], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536
], [-2, -2], [1, 1], [3, 3]]]], [[11, 10, 2, 2, 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, 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 = z],
[regular_chain, [[3, 3], [0, 0], [8, 8], [-1, -1], [0, 0]]]], [[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
(u^2-v^2+x+1 < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3],
[6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [
1580581/2097152, 1580581/2097152], [-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(u^2-v^2+x+1 <
y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [1580581/
2097152, 1580581/2097152], [-1, -1]]]], [[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(u^2-v^2+x+1 < y,y < x
-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3],
[6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [
1580581/2097152, 1580581/2097152], [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(u^2-v^2+x+1 < y
,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152
, 6111549/2097152], [-516571/2097152, -516571/2097152], [1580581/2097152, 
1580581/2097152], [1, 1]]]], [[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(u^2-v^2+x+1 < y,y < x-u^2+v^2+1)
, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152
], [-516571/2097152, -516571/2097152], [1580581/2097152, 1580581/2097152], [2,
2]]]], [[11, 17, 8, 2, 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, 2, 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, 2, 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, 1, 1, 5, 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 < -(y-
x)^(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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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(x < y,
y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2-v^2+x+1), z =
(y-x)^(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(x < y,y < u^2-v^2+x+1), (y-x)^(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 = 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, 8, 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, 8, 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, 8, 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, 8, 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, 4, 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, 4, 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, 4,
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, 4, 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, 4, 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, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 10, 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+2, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1, 1], [919691/
262144, 3678765/1048576], [-3, -3]]]], [[1, 13, 10, 8, 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],
[919691/262144, 3678765/1048576], [-3321417/2097152, -415177/262144]]]], [[1,
13, 10, 8, 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], [919691/
262144, 3678765/1048576], [0, 0]]]], [[1, 13, 10, 8, 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], [
919691/262144, 3678765/1048576], [415177/262144, 1660709/1048576]]]], [[1, 13,
10, 8, 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], [919691/262144, 3678765/1048576], [3, 3]]]],
[[1, 15, 10, 2, 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, 7, 6, 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, 6, 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, 6, 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, 7, 1], [v = -2^(1/2), u = -2, x = -3, 0 <
y, z < -(y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2
, -2], [-3, -3], [1, 1], [-3, -3]]]], [[2, 2, 2, 7, 2], [v = -2^(1/2), u = -2,
x = -3, 0 < y, z = -(y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-2, -2], [-3, -3], [1, 1], [-2, -2]]]], [[2, 2, 2, 7, 3], [v = -2^(1
/2), u = -2, x = -3, 0 < y, And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-3, -3], [1, 1]
, [0, 0]]]], [[2, 2, 2, 7, 4], [v = -2^(1/2), u = -2, x = -3, 0 < y, z = (y+3)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-3, -\
3], [1, 1], [2, 2]]]], [[2, 2, 2, 7, 5], [v = -2^(1/2), u = -2, x = -3, 0 < y,
(y+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2
], [-3, -3], [1, 1], [3, 3]]]], [[2, 9, 10, 3, 1], [v = -2^(1/2), And(-1 < u,u
< 0), x = 1, And(0 < y,y < u^2), z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [1, 1], [1/8, 1/8], [0, 0]]]], [[2, 11, 7, 6, 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, 6, 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, 6, 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, 1, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2),
And(0 < x,x < u^2-3), y < x-u^2+3, z = z], [regular_chain, [[-1482911/1048576,
-741455/524288], [3913339/2097152, 3913339/2097152], [505467/2097152, 505467/
2097152], [-2, -2], [0, 0]]]], [[2, 19, 4, 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, 4, 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, 4, 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, 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], [501965/1048576, 250983/
524288], [-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], [501965/1048576, 250983/
524288], [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], [501965/1048576, 250983/
524288], [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(x-u^2+v^2+1 < y,y < u^2-v^2+x+
1), z < -(y-x)^(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, 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(x-
u^2+v^2+1 < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) <
z,z < (y-x)^(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, 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(x-u^
2+v^2+1 < y,y < u^2-v^2+x+1), z = (y-x)^(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, 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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), (y-x)^(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, 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 = x, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-450371/2097152, -450371/2097152], [-112593/524288, -225185/1048576
], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-450371
/2097152, -450371/2097152], [-112593/524288, -225185/1048576], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-450371/2097152, -450371/
2097152], [-112593/524288, -225185/1048576], [1, 1]]]], [[3, 13, 8, 1, 1], [
And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 0, y < 0, z = z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [0, 0], [-1, -1], [0, 0]]]], [[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 = 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, 4, 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, 4, 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, 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 < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [501965/1048576, 250983/524288], [450381/262144, 450381/262144], [-3,
-3]]]], [[3, 15, 8, 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^2-1 < y,y < 2*u^2-2*v^2), z = -(y-u
^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [501965/1048576, 250983/524288], [450381/262144
, 450381/262144], [-583671/524288, -1167341/1048576]]]], [[3, 15, 8, 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^2-1 < y,y < 2*u^2-2*v^2), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u
^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [501965/1048576, 250983/524288], [450381/262144
, 450381/262144], [0, 0]]]], [[3, 15, 8, 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^2-1 < y,y < 2*
u^2-2*v^2), z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [501965/1048576, 250983/
524288], [450381/262144, 450381/262144], [1167341/1048576, 583671/524288]]]],
[[3, 15, 8, 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^2-1 < y,y < 2*u^2-2*v^2), (y-u^2+v^2+1)^(1/
2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288
, 898327/524288], [501965/1048576, 250983/524288], [450381/262144, 450381/
262144], [3, 3]]]], [[4, 3, 9, 8, 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], [3368149/
1048576, 1684075/524288], [-3, -3]]]], [[4, 3, 9, 8, 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], [3368149/1048576, 1684075/524288], [-1649549/1048576, -3299097/
2097152]]]], [[4, 3, 9, 8, 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], [
3368149/1048576, 1684075/524288], [-1/4194304, -1/4194304]]]], [[4, 3, 9, 8, 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], [3368149/1048576, 1684075/524288], [412387/
262144, 1649549/1048576]]]], [[4, 3, 9, 8, 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], [
3368149/1048576, 1684075/524288], [3, 3]]]], [[4, 5, 9, 2, 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, 9,
9, 5, 1], [v = -1, And(0 < u,u < 1), And(0 < x,x < 1), And(x < y,y < u^2+x), z
< -(y-x)^(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(x < y,y < u^2+x), z = -(y-x)^(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(x < y,y < u^2+x), And(-(y-
x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2+x), z = (y-x)^(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(x < y,y < u^2+x), (
y-x)^(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 = 1
, z < 0], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1, 1
], [1, 1], [-1, -1]]]], [[4, 11, 10, 4, 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, 4, 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, 2, 3, 1], [And(-1 < v,v <
0), u = -(v^2+2)^(1/2), x = -3, And(-4 < y,y < -3), z = z], [regular_chain, [[
-1/2, -1/2], [-3/2, -3/2], [-3, -3], [-7/2, -7/2], [0, 0]]]], [[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 =
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], [1815885/524288, 3631771/1048576], [-3, -3]]]
], [[5, 3, 10, 8, 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], [1815885/524288, 3631771/
1048576], [-3291611/2097152, -1645805/1048576]]]], [[5, 3, 10, 8, 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], [1815885/524288, 3631771/
1048576], [0, 0]]]], [[5, 3, 10, 8, 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], [
1815885/524288, 3631771/1048576], [1645805/1048576, 822903/524288]]]], [[5, 3,
10, 8, 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], [1815885/524288, 3631771/1048576], [3,
3]]]], [[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(-u^2+v^2+2 < y,y < 1), 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 < -(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, 8, 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, 8, 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, 8, 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, 8, 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, 5, 10, 9, 1], [v = 0, 
And(-1 < u,u < 0), x = 1, u^2+2 < y, z < -(y-1)^(1/2)], [regular_chain, [[0, 0
], [-1/2, -1/2], [1, 1], [4, 4], [-3, -3]]]], [[6, 5, 10, 9, 2], [v = 0, And(-\
1 < u,u < 0), x = 1, u^2+2 < y, z = -(y-1)^(1/2)], [regular_chain, [[0, 0], [-\
1/2, -1/2], [1, 1], [4, 4], [-1816187/1048576, -3632373/2097152]]]], [[6, 5, 
10, 9, 3], [v = 0, And(-1 < u,u < 0), x = 1, u^2+2 < y, 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, 9, 4], [v = 0, And(-1 < u,u < 0), x = 1,
u^2+2 < y, z = (y-1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [1, 1], [4
, 4], [908093/524288, 1816187/1048576]]]], [[6, 5, 10, 9, 5], [v = 0, And(-1 <
u,u < 0), x = 1, u^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[0, 0], [-1/2,
-1/2], [1, 1], [4, 4], [3, 3]]]], [[6, 7, 11, 8, 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, 8, 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, 8,
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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 2, 3, 9, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-3 < x
,x < -1), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2
], [-2, -2], [2, 2], [-3, -3]]]], [[7, 2, 3, 9, 2], [And(0 < v,v < 1), u = -(v
^2+2)^(1/2), And(-3 < x,x < -1), x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [
[1/2, 1/2], [-3/2, -3/2], [-2, -2], [2, 2], [-2, -2]]]], [[7, 2, 3, 9, 3], [
And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), x+3 < y, And(-(y-x)^
(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-2, -\
2], [2, 2], [0, 0]]]], [[7, 2, 3, 9, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2)
, And(-3 < x,x < -1), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2],
[-3/2, -3/2], [-2, -2], [2, 2], [2, 2]]]], [[7, 2, 3, 9, 5], [And(0 < v,v < 1)
, u = -(v^2+2)^(1/2), And(-3 < x,x < -1), x+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-2, -2], [2, 2], [3, 3]]]], [[7, 8,
1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 2, 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, 2, 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, 2, 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, 7, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -1, 1 < y, z < -(y+1)^
(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-1, -1
], [2, 2], [-3, -3]]]], [[7, 10, 4, 7, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2
), x = -1, 1 < y, z = -(y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/
1048576, 146543/131072], [-1, -1], [2, 2], [-1816187/1048576, -3632373/2097152
]]]], [[7, 10, 4, 7, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -1, 1 < y,
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], [-1/4194304, -1/4194304]]]], [[7, 
10, 4, 7, 4], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -1, 1 < y, z = (y+1)^(
1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-1, -1]
, [2, 2], [908093/524288, 1816187/1048576]]]], [[7, 10, 4, 7, 5], [And(0 < v,v
< 1), u = (v^2+1)^(1/2), x = -1, 1 < y, (y+1)^(1/2) < z], [regular_chain, [[1/
2, 1/2], [1172343/1048576, 146543/131072], [-1, -1], [2, 2], [3, 3]]]], [[7, 
12, 2, 7, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -3, 0 < y, z < -(y+3)^
(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-3, -3], [1, 1], [-3, -3]]]]
, [[7, 12, 2, 7, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -3, 0 < y, z =
-(y+3)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-3, -3], [1, 1], [-2,
-2]]]], [[7, 12, 2, 7, 3], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -3, 0 < y
, And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))], [regular_chain, [[1/2, 1/2], [3/2, 3
/2], [-3, -3], [1, 1], [0, 0]]]], [[7, 12, 2, 7, 4], [And(0 < v,v < 1), u = (v
^2+2)^(1/2), x = -3, 0 < y, z = (y+3)^(1/2)], [regular_chain, [[1/2, 1/2], [3/
2, 3/2], [-3, -3], [1, 1], [2, 2]]]], [[7, 12, 2, 7, 5], [And(0 < v,v < 1), u
= (v^2+2)^(1/2), x = -3, 0 < y, (y+3)^(1/2) < z], [regular_chain, [[1/2, 1/2],
[3/2, 3/2], [-3, -3], [1, 1], [3, 3]]]], [[8, 4, 5, 2, 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,
2, 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, 2, 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, 6, 3, 6, 1], [v = 1, u = -1, And(-1 < x,x < 0), y
= x+1, z < -1], [regular_chain, [[1, 1], [-1, -1], [-1/2, -1/2], [1/2, 1/2], [
-2, -2]]]], [[8, 6, 3, 6, 2], [v = 1, u = -1, And(-1 < x,x < 0), y = x+1, z =
-1], [regular_chain, [[1, 1], [-1, -1], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]],
[[8, 6, 3, 6, 3], [v = 1, u = -1, And(-1 < x,x < 0), y = x+1, And(-1 < z,z < 1
)], [regular_chain, [[1, 1], [-1, -1], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[
8, 6, 3, 6, 4], [v = 1, u = -1, And(-1 < x,x < 0), y = x+1, z = 1], [
regular_chain, [[1, 1], [-1, -1], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[8, 6,
3, 6, 5], [v = 1, u = -1, And(-1 < x,x < 0), y = x+1, 1 < z], [regular_chain,
[[1, 1], [-1, -1], [-1/2, -1/2], [1/2, 1/2], [2, 2]]]], [[8, 10, 5, 3, 1], [v
= 1, u = 1, And(0 < x,x < 1), And(0 < y,y < x), z = z], [regular_chain, [[1, 1
], [1, 1], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[8, 12, 5, 5, 1], [v = 1, u = 2
^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1/2, -1/2], [3/4,
3/4], [-3, -3]]]], [[8, 12, 5, 5, 2], [v = 1, u = 2^(1/2), And(-1 < x,x < 0),
And(0 < y,y < x+2), z = -(y-x)^(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, 5, 3], [v = 1, u = 2^(1/2), And(-1 < x,x < 0), And(0
< y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1],
[741455/524288, 1482911/1048576], [-1/2, -1/2], [3/4, 3/4], [0, 0]]]], [[8, 12
, 5, 5, 4], [v = 1, u = 2^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), z = (y
-x)^(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, 5, 5], [v
= 1, u = 2^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1/2, -1/2], [3/4,
3/4], [3, 3]]]], [[9, 2, 7, 9, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2)
, And(0 < x,x < 1), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [1/2, 1/2], [
5, 5], [-4, -4]]]], [[9, 2, 7, 9, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1
/2), And(0 < x,x < 1), x+3 < y, z = -(y-x)^(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, 9, 3], [And(1 < v,v
< 2^(1/2)), u = -(v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y, And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [1/2, 1/2], [5, 5], [0, 0]]]], [[9, 2, 7,
9, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y,
z = (y-x)^(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, 9, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1
/2), And(0 < x,x < 1), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [1/2, 1/2], [
5, 5], [4, 4]]]], [[9, 4, 5, 7, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2
), And(-1 < x,x < 0), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-1/2, -1/2], [
3, 3], [-3, -3]]]], [[9, 4, 5, 7, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1
/2), And(-1 < x,x < 0), x+2 < y, z = -(y-x)^(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, 7, 3], [And(1 < v,v <
2^(1/2)), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
410915/262144, -3287319/2097152], [-1/2, -1/2], [3, 3], [0, 0]]]], [[9, 4, 5,
7, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y
, z = (y-x)^(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, 7, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(
1/2), And(-1 < x,x < 0), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-1/2, -1/2], [
3, 3], [3, 3]]]], [[9, 12, 4, 3, 1], [And(1 < v,v < 2^(1/2)), u = v, x = 0, 
And(0 < y,y < 1), 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(0 < y,y < 1), 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(0 <
y,y < 1), 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(0 < y,y <
1), 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(0 < y
,y < 1), 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 < -(y+1)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576,
410915/262144], [-1, -1], [2, 2], [-3, -3]]]], [[9, 14, 4, 7, 2], [And(1 < v,v
< 2^(1/2)), u = (v^2+1)^(1/2), x = -1, 1 < y, z = -(y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-1, -1], [2, 2], [-1816187/1048576, -3632373/2097152]]]], [[9, 14, 4
, 7, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -1, 1 < y, 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], [-1/4194304, -1/
4194304]]]], [[9, 14, 4, 7, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x
= -1, 1 < y, z = (y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1643659/1048576, 410915/262144], [-1, -1], [2, 2], [908093/524288,
1816187/1048576]]]], [[9, 14, 4, 7, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(
1/2), x = -1, 1 < y, (y+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1643659/1048576, 410915/262144], [-1, -1], [2, 2], [3, 3]]]
], [[10, 2, 7, 4, 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, 5, 2, 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, 2, 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, 2, 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, 6, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 2, 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, 3, 1], [v = 2^(1/2), u = 3^(1/2
), x = -2, And(-2 < y,y < 0), z < -(y+2)^(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(-2 <
y,y < 0), z = -(y+2)^(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(-2 < y,y < 0), And(-(y+2)^(1/
2) < z,z < (y+2)^(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(-2 < y,y < 0), z = (y+2)^(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(-2 < y,y < 0), (y+2)^(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
, u^2+x-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [2, 2], [6, 6], [-3, -3]]]], [[
10, 17, 11, 9, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, u^2+x-1 < y, z
= -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [2, 2], [6, 6], [-2, -2]]]], [[10, 17, 11, 9, 3], [
v = 2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, u^2+x-1 < y, And(-(y-x)^(1/2) < z,
z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3913339
/2097152, 3913339/2097152], [2, 2], [6, 6], [0, 0]]]], [[10, 17, 11, 9, 4], [v
= 2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, u^2+x-1 < y, z = (y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [2, 2], [6, 6], [2, 2]]]], [[10, 17, 11, 9, 5], [v = 2^(1/2), And(3^
(1/2) < u,u < 2), 1 < x, u^2+x-1 < y, (y-x)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [2, 2], [
6, 6], [3, 3]]]], [[10, 18, 2, 5, 1], [v = 2^(1/2), u = 2, x = -3, And(-3 < y,
y < 0), z < -(y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[2, 2], [-3, -3], [-3/2, -3/2], [-3, -3]]]], [[10, 18, 2, 5, 2], [v = 2^(1/2),
u = 2, x = -3, And(-3 < y,y < 0), z = -(y+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [2, 2], [-3, -3], [-3/2, -3/2], [-1284239/1048576, -\
642119/524288]]]], [[10, 18, 2, 5, 3], [v = 2^(1/2), u = 2, x = -3, And(-3 < y
,y < 0), And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [2, 2], [-3, -3], [-3/2, -3/2], [0, 0]]]], [[10, 18,
2, 5, 4], [v = 2^(1/2), u = 2, x = -3, And(-3 < y,y < 0), z = (y+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-3, -3], [-3/2, -3/
2], [642119/524288, 1284239/1048576]]]], [[10, 18, 2, 5, 5], [v = 2^(1/2), u =
2, x = -3, And(-3 < y,y < 0), (y+3)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [2, 2], [-3, -3], [-3/2, -3/2], [3, 3]]]], [[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+1, z
< -1], [regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2], [1/2, 1/2], [-2, -2]]]
], [[11, 6, 3, 6, 2], [2^(1/2) < v, u = -v, And(-1 < x,x < 0), y = x+1, z = -1
], [regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [
[11, 6, 3, 6, 3], [2^(1/2) < v, u = -v, And(-1 < x,x < 0), y = x+1, And(-1 < z
,z < 1)], [regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2], [1/2, 1/2], [0, 0]]
]], [[11, 6, 3, 6, 4], [2^(1/2) < v, u = -v, And(-1 < x,x < 0), y = x+1, z = 1
], [regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[
11, 6, 3, 6, 5], [2^(1/2) < v, u = -v, And(-1 < x,x < 0), y = x+1, 1 < z], [
regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2], [1/2, 1/2], [2, 2]]]], [[11, 8
, 4, 3, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -1, And(-1 < y,y < 0), z < -
(y+1)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304],
[-1, -1], [-1/2, -1/2], [-2, -2]]]], [[11, 8, 4, 3, 2], [2^(1/2) < v, u = -(v^
2-1)^(1/2), x = -1, And(-1 < y,y < 0), z = -(y+1)^(1/2)], [regular_chain, [[3,
3], [-2965821/1048576, -11863283/4194304], [-1, -1], [-1/2, -1/2], [-1482911/
2097152, -741455/1048576]]]], [[11, 8, 4, 3, 3], [2^(1/2) < v, u = -(v^2-1)^(1
/2), x = -1, And(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(1/2)], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [-1, -1], [-1/2, -1/2], [741455/1048576, 46341/
65536]]]], [[11, 8, 4, 3, 5], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -1, And(-1
< y,y < 0), (y+1)^(1/2) < z], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [-1, -1], [-1/2, -1/2], [2, 2]]]], [[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 = x-u^
2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [9, 9], [
19, 19], [-5, -5]]]], [[11, 11, 11, 8, 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-u^2+v^2+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, 8, 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-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], [9, 9], [19, 19],
[0, 0]]]], [[11, 11, 11, 8, 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 = x-u^2+v^2+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, 8, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [0, 0], [9, 9], [19, 19], [5, 5]]]], [[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, -2*
u^2+2*v^2 < y, 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, 7, 2], [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 = -(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, 7, 3], [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, 
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, 7, 4], [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 = (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, 7,
5], [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, (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, 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 < 0, z = z], [regular_chain, [[3, 3], [3396811/
1048576, 3396811/1048576], [1566621/2097152, 1566621/2097152], [-1, -1], [0, 0
]]]], [[11, 21, 5, 7, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-1 < x,x < 0),
And(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [5, 5]
, [-1/2, -1/2], [33/4, 33/4], [-4, -4]]]], [[11, 21, 5, 7, 2], [2^(1/2) < v, (
v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(1
/2)], [regular_chain, [[3, 3], [5, 5], [-1/2, -1/2], [33/4, 33/4], [-49627675/
16777216, -24813837/8388608]]]], [[11, 21, 5, 7, 3], [2^(1/2) < v, (v^2+2)^(1/
2) < u, And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[3, 3], [5, 5], [-1/2, -1/2], [33/4, 33/4],
[-5/16777216, -5/16777216]]]], [[11, 21, 5, 7, 4], [2^(1/2) < v, (v^2+2)^(1/2)
< u, And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [5, 5], [-1/2, -1/2], [33/4, 33/4], [3101729/1048576,
1550865/524288]]]], [[11, 21, 5, 7, 5], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-\
1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[
3, 3], [5, 5], [-1/2, -1/2], [33/4, 33/4], [4, 4]]]], [[1, 4, 5, 2, 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, 2, 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, 2, 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
, 4, 3, 1], [v < -2^(1/2), u = v, x = 0, And(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y
< 1), 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(
0 < y,y < 1), 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(0 < y,y < 1), 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 < x-1, z = z], [regular_chain, [[-3, -3], [2774271/1048576, 
10837/4096], [-4, -4], [-6, -6], [0, 0]]]], [[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 = x, z
< 0], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1581613/
2097152, 1581613/2097152], [395403/524288, 790807/1048576], [-1, -1]]]], [[1,
13, 9, 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], [1581613/2097152, 1581613/2097152], [395403/524288, 790807/
1048576], [0, 0]]]], [[1, 13, 9, 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], [1581613/2097152, 1581613/2097152],
[395403/524288, 790807/1048576], [1, 1]]]], [[1, 17, 10, 2, 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, 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-u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [1566621/2097152, 1566621/2097152], [1048577/
2097152, 1048577/2097152], [0, 0]]]], [[2, 3, 10, 4, 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], [
135777/262144, 543109/1048576], [0, 0]]]], [[2, 5, 9, 7, 1], [v = -2^(1/2), 
And(-3^(1/2) < u,u < v), And(0 < x,x < 1), And(x-u^2+3 < y,y < u^2+x-1), z < -
(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[2, 5, 9, 7,
2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(0 < x,x < 1), And(x-u^2+3 < y,
y < u^2+x-1), z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [1/2, 1/2], [3/2, 3/2], [-1, -1
]]]], [[2, 5, 9, 7, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(0 < x,x <
1), And(x-u^2+3 < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[2, 5, 9, 7, 4], [v = -2
^(1/2), And(-3^(1/2) < u,u < v), And(0 < x,x < 1), And(x-u^2+3 < y,y < u^2+x-1
), z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[2, 5,
9, 7, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(0 < x,x < 1), And(x-u^2+
3 < y,y < u^2+x-1), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [1/2, 1/2], [3/2, 3/2],
[2, 2]]]], [[2, 5, 10, 9, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 1, u
^2 < y, z < -(y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-6598195/4194304, -6598195/4194304], [1, 1], [4, 4], [-3, -3]]]], [[2, 5, 
10, 9, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 1, u^2 < y, 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, 9, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 1, u^2 < y, 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, 9, 4], [v = -2^(1/2), And(-3^(1/2) < u,u
< v), x = 1, u^2 < y, 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, 9, 5], [v = -2^(1/2), And(-3^(1/2) <
u,u < v), x = 1, u^2 < y, (y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576
, -741455/524288], [-6598195/4194304, -6598195/4194304], [1, 1], [4, 4], [3, 3
]]]], [[2, 7, 11, 8, 1], [v = -2^(1/2), And(v < u,u < -1), 1 < x, y = x-u^2+3,
z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [2, 2], [3714993/1048576, 1857497/524288],
[-3, -3]]]], [[2, 7, 11, 8, 2], [v = -2^(1/2), And(v < u,u < -1), 1 < x, y = x
-u^2+3, z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [2, 2], [3714993/1048576, 
1857497/524288], [-1302471/1048576, -651235/524288]]]], [[2, 7, 11, 8, 3], [v
= -2^(1/2), And(v < u,u < -1), 1 < x, y = x-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], [2, 2], [3714993/1048576, 1857497/524288],
[0, 0]]]], [[2, 7, 11, 8, 4], [v = -2^(1/2), And(v < u,u < -1), 1 < x, y = x-u
^2+3, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1265743/1048576, -1265743/1048576], [2, 2], [3714993/1048576, 1857497/
524288], [651235/524288, 1302471/1048576]]]], [[2, 7, 11, 8, 5], [v = -2^(1/2)
, And(v < u,u < -1), 1 < x, y = x-u^2+3, (-u^2+3)^(1/2) < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [2,
2], [3714993/1048576, 1857497/524288], [3, 3]]]], [[2, 13, 7, 7, 1], [v = -2^(
1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 0), And(u^2+x-1 < y,y < x-u^2+3),
z < -(y-x)^(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, 7, 2], [v = -2^(1/2), And(
1 < u,u < -v), And(-u^2+1 < x,x < 0), And(u^2+x-1 < y,y < x-u^2+3), z = -(y-x)
^(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, 7, 3], [v = -2^(1/2), And(1 < u,u <
-v), And(-u^2+1 < x,x < 0), And(u^2+x-1 < y,y < x-u^2+3), And(-(y-x)^(1/2) < z
,z < (y-x)^(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, 7, 4], [v = -2^(1/2), And(1
< u,u < -v), And(-u^2+1 < x,x < 0), And(u^2+x-1 < y,y < x-u^2+3), z = (y-x)^(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, 7, 5], [v = -2^(1/2), And(1 < u,u < -v), And(
-u^2+1 < x,x < 0), And(u^2+x-1 < y,y < x-u^2+3), (y-x)^(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, 6, 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], [1546381/1048576, 773191/
524288], [-3, -3]]]], [[2, 15, 8, 6, 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], [1546381/1048576,
773191/524288], [-1273381/1048576, -318345/262144]]]], [[2, 15, 8, 6, 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], [1546381/1048576, 773191/524288], [
0, 0]]]], [[2, 15, 8, 6, 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], [1546381/1048576, 773191/
524288], [318345/262144, 1273381/1048576]]]], [[2, 15, 8, 6, 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], [1546381/1048576, 773191/524288], [3, 3]]]], [[2, 19, 5, 6,
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, 6, 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
, 6, 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, 6, 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, 6, 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, 9, 1], [And(-2^(1/2) < v,v < -1), u < -(v^
2+2)^(1/2), u^2-v^2-1 < x, u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3, -3], [8, 8], [18, 18], [-5, -5]]]]
, [[3, 1, 11, 9, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), u^2-v^2-1
< x, u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [8, 8], [18, 18], [-3315889/1048576, -207243/65536
]]]], [[3, 1, 11, 9, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), u^2-v^
2-1 < x, u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [8, 8], [18, 
18], [0, 0]]]], [[3, 1, 11, 9, 4], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/
2), u^2-v^2-1 < x, u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [8, 8], [18, 18], [207243/65536,
3315889/1048576]]]], [[3, 1, 11, 9, 5], [And(-2^(1/2) < v,v < -1), u < -(v^2+2
)^(1/2), u^2-v^2-1 < x, u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [8, 8], [18, 18], [5, 5]]]], [[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 = 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], [487329/524288, 974659/1048576], [-2, -2]]]], [[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 = 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], [487329/524288, 
974659/1048576], [-1374407/2097152, -687203/1048576]]]], [[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 =
u^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], [487329/524288, 974659/1048576], [0, 0]]]], [[3,
7, 9, 6, 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],
[487329/524288, 974659/1048576], [687203/1048576, 171801/262144]]]], [[3, 7, 9
, 6, 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],
[487329/524288, 974659/1048576], [2, 2]]]], [[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, -2*u^2+2
*v^2 < y, 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, 7, 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, -2*u^2+2*v^2 < y, 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,
7, 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, -2*u^2+2*v^2 < y, 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, 7, 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, -2*u^2+2*v^2 < y, 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, 7, 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, -2*u^2
+2*v^2 < y, (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, 4, 9, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -1, u^2-v
^2 < y, z < -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [-1, -1], [9, 9], [-5, -5]]]], [[3, 17, 4, 9, 2], [And(-2^(1
/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -1, u^2-v^2 < y, z = -(y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1, -1], [9, 9]
, [-3315889/1048576, -207243/65536]]]], [[3, 17, 4, 9, 3], [And(-2^(1/2) < v,v
< -1), (v^2+2)^(1/2) < u, x = -1, u^2-v^2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^
(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1, -\
1], [9, 9], [0, 0]]]], [[3, 17, 4, 9, 4], [And(-2^(1/2) < v,v < -1), (v^2+2)^(
1/2) < u, x = -1, u^2-v^2 < y, z = (y+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [-1, -1], [9, 9], [207243/65536, 3315889/
1048576]]]], [[3, 17, 4, 9, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u,
x = -1, u^2-v^2 < y, (y+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [-1, -1], [9, 9], [5, 5]]]], [[4, 1, 11, 3, 1], [v =
-1, u < -3^(1/2), u^2-2 < x, And(0 < y,y < x-u^2+2), z = z], [regular_chain, [
[-1, -1], [-3, -3], [8, 8], [1/2, 1/2], [0, 0]]]], [[4, 7, 9, 2, 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, 3, 1], [v = -1, And(0
< u,u < 1), x = 0, And(0 < y,y < u^2), z < -y^(1/2)], [regular_chain, [[-1, -1
], [1/2, 1/2], [0, 0], [1/8, 1/8], [-2, -2]]]], [[4, 9, 8, 3, 2], [v = -1, And
(0 < u,u < 1), x = 0, And(0 < y,y < u^2), 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, 3, 3], [v = -1, And(0 < u,u < 1), x = 0, And(0 < y,y < u^2), 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, 3, 4], [v = -1, And(0 < u,u < 1), x = 0, And(0 < y,y <
u^2), 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, 3, 5], [v = -1, And(0 < u,u < 1)
, x = 0, And(0 < y,y < u^2), y^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/
2], [0, 0], [1/8, 1/8], [2, 2]]]], [[4, 13, 8, 6, 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], [3092763/
1048576, 773191/262144], [-3, -3]]]], [[4, 13, 8, 6, 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], [3092763/
1048576, 773191/262144], [-3299097/2097152, -3299097/2097152]]]], [[4, 13, 8,
6, 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], [3092763/1048576, 773191/262144], [-1/4194304,
-1/4194304]]]], [[4, 13, 8, 6, 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], [3092763/1048576, 773191/
262144], [412387/262144, 1649549/1048576]]]], [[4, 13, 8, 6, 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], [
3092763/1048576, 773191/262144], [3, 3]]]], [[4, 15, 5, 9, 1], [v = -1, 3^(1/2
) < u, And(-1 < x,x < 0), u^2+x < y, z < -(y-x)^(1/2)], [regular_chain, [[-1,
-1], [3, 3], [-1/2, -1/2], [10, 10], [-5, -5]]]], [[4, 15, 5, 9, 2], [v = -1,
3^(1/2) < u, And(-1 < x,x < 0), u^2+x < y, z = -(y-x)^(1/2)], [regular_chain,
[[-1, -1], [3, 3], [-1/2, -1/2], [10, 10], [-3397775/1048576, -1698887/524288]
]]], [[4, 15, 5, 9, 3], [v = -1, 3^(1/2) < u, And(-1 < x,x < 0), u^2+x < y, 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [3, 3], [-1
/2, -1/2], [10, 10], [0, 0]]]], [[4, 15, 5, 9, 4], [v = -1, 3^(1/2) < u, And(-\
1 < x,x < 0), u^2+x < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [3, 3],
[-1/2, -1/2], [10, 10], [1698887/524288, 3397775/1048576]]]], [[4, 15, 5, 9, 5
], [v = -1, 3^(1/2) < u, And(-1 < x,x < 0), u^2+x < y, (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [3, 3], [-1/2, -1/2], [10, 10], [5, 5]]]], [[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(0 < y,y < x), 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, 2, 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, 7, 11, 2, 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, 1, 1], [And(-1 < v,v < 0), u = (v^2
+1)^(1/2), x < -2, y < x, z = z], [regular_chain, [[-1/2, -1/2], [1172343/
1048576, 146543/131072], [-3, -3], [-4, -4], [0, 0]]]], [[6, 2, 4, 2, 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, 4, 1, 5, 1], [v
= 0, u = -1, x < -2, And(x+2 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[
0, 0], [-1, -1], [-3, -3], [-1/2, -1/2], [-3, -3]]]], [[6, 4, 1, 5, 2], [v = 0
, u = -1, x < -2, And(x+2 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[0,
0], [-1, -1], [-3, -3], [-1/2, -1/2], [-3315889/2097152, -207243/131072]]]], [
[6, 4, 1, 5, 3], [v = 0, u = -1, x < -2, And(x+2 < y,y < 0), And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [-1, -1], [-3, -3], [-1/2, -1/
2], [0, 0]]]], [[6, 4, 1, 5, 4], [v = 0, u = -1, x < -2, And(x+2 < y,y < 0), z
= (y-x)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-3, -3], [-1/2, -1/2], [
207243/131072, 1657945/1048576]]]], [[6, 4, 1, 5, 5], [v = 0, u = -1, x < -2,
And(x+2 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [-3,
-3], [-1/2, -1/2], [3, 3]]]], [[6, 8, 2, 1, 1], [v = 0, u = 1, x = -2, y < -2,
z = z], [regular_chain, [[0, 0], [1, 1], [-2, -2], [-3, -3], [0, 0]]]], [[6, 
10, 1, 2, 1], [v = 0, u = 2^(1/2), x < -3, y = x-1, z = z], [regular_chain, [[
0, 0], [741455/524288, 1482911/1048576], [-4, -4], [-5, -5], [0, 0]]]], [[7, 4
, 2, 5, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -2, 0 < y, z < -(y+2)^(
1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-2, -\
2], [1, 1], [-3, -3]]]], [[7, 4, 2, 5, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/
2), x = -2, 0 < y, z = -(y+2)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/
131072, -1172343/1048576], [-2, -2], [1, 1], [-1816187/1048576, -3632373/
2097152]]]], [[7, 4, 2, 5, 3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -2,
0 < y, And(-(y+2)^(1/2) < z,z < (y+2)^(1/2))], [regular_chain, [[1/2, 1/2], [-\
146543/131072, -1172343/1048576], [-2, -2], [1, 1], [-1/4194304, -1/4194304]]]
], [[7, 4, 2, 5, 4], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -2, 0 < y, z =
(y+2)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576],
[-2, -2], [1, 1], [908093/524288, 1816187/1048576]]]], [[7, 4, 2, 5, 5], [And(
0 < v,v < 1), u = -(v^2+1)^(1/2), x = -2, 0 < y, (y+2)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-2, -2], [1,
1], [3, 3]]]], [[7, 6, 1, 6, 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, 6, 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, 6, 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, 6, 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
, 6, 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
, 10, 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 < -(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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 5, 1], [v = 1, u = -3^(1/2), And(-1 <
x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z
= -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(
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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (
y-x)^(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 < -(y+1)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-1
, -1], [-1/2, -1/2], [-2, -2]]]], [[8, 8, 4, 3, 2], [v = 1, u = 0, x = -1, And
(-1 < y,y < 0), z = -(y+1)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-1, -1],
[-1/2, -1/2], [-1482911/2097152, -741455/1048576]]]], [[8, 8, 4, 3, 3], [v = 1
, u = 0, x = -1, And(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(1/2)], [
regular_chain, [[1, 1], [0, 0], [-1, -1], [-1/2, -1/2], [741455/1048576, 46341
/65536]]]], [[8, 8, 4, 3, 5], [v = 1, u = 0, x = -1, And(-1 < y,y < 0), (y+1)^
(1/2) < z], [regular_chain, [[1, 1], [0, 0], [-1, -1], [-1/2, -1/2], [2, 2]]]]
, [[8, 10, 2, 5, 1], [v = 1, u = 1, x = -1, 0 < y, z < -(y+1)^(1/2)], [
regular_chain, [[1, 1], [1, 1], [-1, -1], [1, 1], [-3, -3]]]], [[8, 10, 2, 5,
2], [v = 1, u = 1, x = -1, 0 < y, z = -(y+1)^(1/2)], [regular_chain, [[1, 1],
[1, 1], [-1, -1], [1, 1], [-1482911/1048576, -741455/524288]]]], [[8, 10, 2, 5
, 3], [v = 1, u = 1, x = -1, 0 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[1, 1], [1, 1], [-1, -1], [1, 1], [0, 0]]]], [[8, 10, 2, 5, 4]
, [v = 1, u = 1, x = -1, 0 < y, z = (y+1)^(1/2)], [regular_chain, [[1, 1], [1,
1], [-1, -1], [1, 1], [741455/524288, 1482911/1048576]]]], [[8, 10, 2, 5, 5],
[v = 1, u = 1, x = -1, 0 < y, (y+1)^(1/2) < z], [regular_chain, [[1, 1], [1, 1
], [-1, -1], [1, 1], [3, 3]]]], [[8, 14, 3, 5, 1], [v = 1, u = 3^(1/2), And(-3
< x,x < -1), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(
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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (
y-x)^(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(x < y,y < 0), (y-x)^(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-u^2+2, z = z], [regular_chain, [[1, 1], [
3, 3], [8, 8], [1, 1], [0, 0]]]], [[9, 6, 4, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 1, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^
(1/2), And(-1 < x,x < 0), y < x, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1417877/2097152, -354469/524288], [-1/2, -1/2], [-2, -2],
[0, 0]]]], [[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+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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = 2^(1/2), u < -2, x < -u^2+1, And(x < y,y < u^2+x-1), z < -(y
-x)^(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(x < y,y < u^2+x-1), z = -(y-x)^(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(x < y,y < u^2+x-1), And(-(y-x)^(1/2) <
z,z < (y-x)^(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(x < y,y < u^2+x-1), z = (y-x)^(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(x < y,y < u^2+x-1), (y-x)^(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 < x+2), z < -(y-x)^(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, 5, 2], [v = 2^(1/2), u = -3^(1/2), And(0 < x,x < 1)
, And(x < y,y < x+2), z = -(y-x)^(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, 5, 3], [v = 2^(1/2), u = -3^(1/2), And(0 < x,x < 1)
, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 5, 4], [v = 2^(1/2), u = -3^(1/2), 
And(0 < x,x < 1), And(x < y,y < x+2), z = (y-x)^(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, 5, 5], [v = 2^(1/2), u = -3^(1/2), And
(0 < x,x < 1), And(x < y,y < x+2), (y-x)^(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, 2, 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, 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 = 0, z < -(-x)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 
1482911/1048576], [-2, -2], [0, 0], [-3, -3]]]], [[10, 14, 1, 6, 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, 6, 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, 6, 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, 6, 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, 3, 1], [2^(1/2) < v, u = -(
v^2+2)^(1/2), And(-1 < x,x < 0), And(x-1 < y,y < x), z = z], [regular_chain, [
[3, 3], [-1738867/524288, -3477733/1048576], [-1/2, -1/2], [-1, -1], [0, 0]]]]
, [[11, 4, 2, 4, 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, 4, 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, 4
, 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, 4, 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, 4,
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, 2, 3, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -3, And(-4
< y,y < -3), z = z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [-3, -3], [-7/2, -7/2], [0, 0]]]], [[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 = 0, z = z], [
regular_chain, [[3, 3], [0, 0], [8, 8], [0, 0], [0, 0]]]], [[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 = 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], [129143/524288, 258287/
1048576], [-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 = 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], [129143/524288, 258287/1048576], [-735979/1048576, -1471957/
2097152]]]], [[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 = u^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], [129143/524288, 258287/1048576], [-1/
4194304, -1/4194304]]]], [[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 = 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], [129143/524288, 258287/1048576], [367989/524288, 735979/
1048576]]]], [[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 = 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], [129143/524288, 258287/1048576], [2, 2]]]], [[11, 17, 8, 1,
1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 0, y < 0, z = z], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [0, 0], [-1, -1], [0,
0]]]], [[1, 1, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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
, 5, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(0 < y,y < x)
, 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 = 0, z = z], [regular_chain, [[-3, -3], [-2965821/
1048576, -11863283/4194304], [1/2, 1/2], [0, 0], [0, 0]]]], [[1, 10, 4, 5, 1],
[v < -2^(1/2), u = -(v^2-2)^(1/2), x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y
,y < 0), z = (y+1)^(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(-1 < y,y < 0),
(y+1)^(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, -u^2+v^2+2 < y, z < -(y-1)^
(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1, 1], [
5, 5], [-3, -3]]]], [[1, 13, 10, 9, 2], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), x = 1, -u^2+v^2+2 < y, z = -(y-1)^(1/2)], [regular_chain, [[
-3, -3], [1435023/524288, 1435023/524288], [1, 1], [5, 5], [-2, -2]]]], [[1, 
13, 10, 9, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1,
-u^2+v^2+2 < y, 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,
9, 4], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, -u^2+v^
2+2 < y, z = (y-1)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023
/524288], [1, 1], [5, 5], [2, 2]]]], [[1, 13, 10, 9, 5], [v < -2^(1/2), And((v
^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, -u^2+v^2+2 < y, (y-1)^(1/2) < z], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1, 1], [5, 5], [3
, 3]]]], [[1, 15, 9, 8, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(
0 < x,x < 1), y = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3,
-3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [526217/262144, 2104869/
1048576], [-3, -3]]]], [[1, 15, 9, 8, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u
,u < -v), And(0 < x,x < 1), y = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [
526217/262144, 2104869/1048576], [-1287385/1048576, -160923/131072]]]], [[1, 
15, 9, 8, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1),
y = x-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], [1/2, 1/2], [
526217/262144, 2104869/1048576], [0, 0]]]], [[1, 15, 9, 8, 4], [v < -2^(1/2),
And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = x-u^2+v^2+1, z = (-u^2+v^
2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1
/2, 1/2], [526217/262144, 2104869/1048576], [160923/131072, 1287385/1048576]]]
], [[1, 15, 9, 8, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,
x < 1), y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [1/2, 1/2], [526217/262144, 2104869/1048576
], [3, 3]]]], [[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 < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [
1/2, 1/2], [19, 19], [-6, -6]]]], [[1, 21, 7, 9, 2], [v < -2^(1/2), (v^2+2)^(1
/2) < u, And(0 < x,x < 1), u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain,
[[-3, -3], [5, 5], [1/2, 1/2], [19, 19], [-281881/65536, -4510095/1048576]]]],
[[1, 21, 7, 9, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(0 < x,x < 1), u^2-v^2
+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [
5, 5], [1/2, 1/2], [19, 19], [0, 0]]]], [[1, 21, 7, 9, 4], [v < -2^(1/2), (v^2
+2)^(1/2) < u, And(0 < x,x < 1), u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [5, 5], [1/2, 1/2], [19, 19], [4510095/1048576, 
281881/65536]]]], [[1, 21, 7, 9, 5], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(0 <
x,x < 1), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [5, 5]
, [1/2, 1/2], [19, 19], [6, 6]]]], [[2, 2, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 4, 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, 3, 1], [v = -2^(1/2), And(0 <
u,u < 1), And(0 < x,x < -u^2+1), And(u^2+x-1 < 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, 4, 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, 3, 1], [v = -2^(1/2), 2 < u, x = -1,
And(-u^2+2 < y,y < -1), z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [-1, -1], [-4, -4], [0, 0]]]], [[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 < 2*u^2-2*v^2), z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [
501965/1048576, 250983/524288], [3603049/2097152, 3603049/2097152], [-3, -3]]]
], [[3, 3, 8, 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^2-1 < y,y < 2*u^2-2*v^2), z = -(y-u^2+v
^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [501965/1048576, 250983/524288], [
3603049/2097152, 3603049/2097152], [-583671/524288, -1167341/1048576]]]], [[3,
3, 8, 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^2-1 < y,y < 2*u^2-2*v^2), And(-(y-u^2+v^2+1)^(1
/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-14373233/8388608, -14373233/8388608], [501965/1048576, 
250983/524288], [3603049/2097152, 3603049/2097152], [0, 0]]]], [[3, 3, 8, 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^2-1 < y,y < 2*u^2-2*v^2), z = (y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [501965/1048576, 250983/524288], [3603049/2097152, 3603049/
2097152], [1167341/1048576, 583671/524288]]]], [[3, 3, 8, 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^2-1 < y,y < 2*u^2-2*v^2), (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [
501965/1048576, 250983/524288], [3603049/2097152, 3603049/2097152], [3, 3]]]],
[[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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(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(0 < y,y < u^2-v^2+x+1), z = -(y-
x)^(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(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(0 < y,y < u^2-v^2+x+1), z = (y-x)^(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(0 < y
,y < u^2-v^2+x+1), (y-x)^(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)
, u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [-139585/524288, -139585
/524288], [3, 3], [-3, -3]]]], [[3, 13, 7, 9, 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), u^2-v^2+x+1 < y, z =
-(y-x)^(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, 9, 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), u^2-v^2+x+1 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9, 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),
u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 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)
, u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [-139585/524288, -139585
/524288], [3, 3], [3, 3]]]], [[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-u^2+v^2+1 < y,y < u^2-v^2+
x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [1454701/1048576, 1454701/1048576], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[3
, 13, 9, 7, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(
0 < x,x < 1), And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]], [[3, 13, 9, 7, 3], [And
(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(x-
u^2+v^2+1 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[3, 13, 9, 7, 4], [And(-
2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(x-u^
2+v^2+1 < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [3
/2, 3/2], [1, 1]]]], [[3, 13, 9, 7, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,
u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), (y
-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[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], [501965/1048576, 250983/524288], [-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], [501965/
1048576, 250983/524288], [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], [501965/1048576, 250983/
524288], [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), u^2+x < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1],
[-6598195/4194304, -6598195/4194304], [1546383/2097152, 1546383/2097152], [5,
5], [-4, -4]]]], [[4, 3, 9, 9, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), 
And(u^2-2 < x,x < 1), u^2+x < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1],
[-6598195/4194304, -6598195/4194304], [1546383/2097152, 1546383/2097152], [5,
5], [-270613/131072, -2164903/1048576]]]], [[4, 3, 9, 9, 3], [v = -1, And(-3^(
1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x < 1), u^2+x < y, And(-(y-x)^(1/2) < z,
z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [1546383/2097152, 1546383/2097152], [5, 5], [0, 0]]]], [[4, 3, 9, 9,
4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x < 1), u^2+x < y,
z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [1546383/2097152, 1546383/2097152], [5, 5], [2164903/1048576, 270613
/131072]]]], [[4, 3, 9, 9, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^
2-2 < x,x < 1), u^2+x < y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [1546383/2097152, 1546383/2097152], [5, 5]
, [4, 4]]]], [[4, 5, 8, 6, 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], [763943/524288, 1527887/1048576], [-3, -3]]]], [[4, 5, 8, 6, 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], [763943/524288, 1527887/
1048576], [-1265743/1048576, -1265743/1048576]]]], [[4, 5, 8, 6, 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], [763943/524288, 
1527887/1048576], [0, 0]]]], [[4, 5, 8, 6, 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], [763943/524288, 1527887/1048576], [1265743/1048576,
1265743/1048576]]]], [[4, 5, 8, 6, 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], [763943/524288, 1527887/1048576], [3, 3]]]], [[4, 9, 9, 8, 1
], [v = -1, And(0 < u,u < 1), And(0 < x,x < 1), y = x-u^2+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, 8, 2], [v = -1, And(0 < u,u < 1), And(0 < x,x < 1), y = x-u^2+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, 8, 3], [v = -1, And(0 < u
,u < 1), And(0 < x,x < 1), y = x-u^2+2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(
1/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [1/2, 1/2], [9/4, 9/4], [0, 0]]
]], [[4, 9, 9, 8, 4], [v = -1, And(0 < u,u < 1), And(0 < x,x < 1), y = x-u^2+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, 8, 5], [v = -1, And(0 < u
,u < 1), And(0 < x,x < 1), y = x-u^2+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, 3, 1], [
v = -1, And(1 < u,u < 2^(1/2)), x = 1, And(0 < y,y < 1), z = z], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1, 1], [1/2, 1/
2], [0, 0]]]], [[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(-u^2+v^2+2 < y,y < 1), 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 = 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], [1815885/524288, 3631771/1048576], [-3, -3]]]], [[5, 11, 10, 8, 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], [1815885/524288, 3631771/1048576], [-3291611/2097152,
-1645805/1048576]]]], [[5, 11, 10, 8, 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], [1815885/524288, 3631771/1048576], [0, 0]]]], [[5, 11, 10, 8,
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], [1815885/524288, 3631771/1048576], [1645805/
1048576, 822903/524288]]]], [[5, 11, 10, 8, 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], [
1815885/524288, 3631771/1048576], [3, 3]]]], [[5, 13, 7, 7, 1], [And(-1 < v,v
< 0), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(x < y,y < u^2-v^2+x+1), z < -(y
-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [1/2, 1/2], [43/8, 43/8], [
-4, -4]]]], [[5, 13, 7, 7, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(0 <
x,x < 1), And(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 7, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(0 < x,x <
1), And(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [3, 3], [1/2, 1/2], [43/8, 43/8], [0, 0]]]], [[5
, 13, 7, 7, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(x
< y,y < u^2-v^2+x+1), z = (y-x)^(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, 7,
5], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(x < y,y < u^2
-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3, 3], [1/2, 1/2]
, [43/8, 43/8], [4, 4]]]], [[6, 5, 11, 1, 1], [v = 0, And(-1 < u,u < 0), 1 < x
, y < 0, z = z], [regular_chain, [[0, 0], [-1/2, -1/2], [2, 2], [-1, -1], [0,
0]]]], [[6, 7, 11, 5, 1], [v = 0, And(0 < u,u < 1), 1 < x, And(x < y,y < x-u^2
+1), z < -(y-x)^(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(x <
y,y < x-u^2+1), z = -(y-x)^(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(x < y,y < x-u^2+1), And(-(y-x)^(1/2) < z,z <
(y-x)^(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(x < y,y < x-u^2
+1), z = (y-x)^(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(x < y,y < x-u^2+1), (y-x)^(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 < -(y-1)^(1/2)], [regular_chain, [[0, 0], [3, 3],
[1, 1], [12, 12], [-5, -5]]]], [[6, 11, 8, 9, 2], [v = 0, 2^(1/2) < u, x = 1,
u^2+2 < y, z = -(y-1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [1, 1], [12, 12
], [-1738867/524288, -3477733/1048576]]]], [[6, 11, 8, 9, 3], [v = 0, 2^(1/2)
< u, x = 1, u^2+2 < y, 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, 9, 4], [v = 0, 2^(1/
2) < u, x = 1, u^2+2 < y, z = (y-1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [
1, 1], [12, 12], [3477733/1048576, 1738867/524288]]]], [[6, 11, 8, 9, 5], [v =
0, 2^(1/2) < u, x = 1, u^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[0, 0], [
3, 3], [1, 1], [12, 12], [5, 5]]]], [[7, 2, 3, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 1, 7, 1], [And(
0 < v,v < 1), u = v, x < -1, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2,
1/2], [1/2, 1/2], [-2, -2], [1, 1], [-3, -3]]]], [[7, 8, 1, 7, 2], [And(0 < v,
v < 1), u = v, x < -1, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2],
[1/2, 1/2], [-2, -2], [1, 1], [-1816187/1048576, -3632373/2097152]]]], [[7, 8,
1, 7, 3], [And(0 < v,v < 1), u = v, x < -1, 0 < y, And(-(y-x)^(1/2) < z,z < (y
-x)^(1/2))], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2, -2], [1, 1], [-1/
4194304, -1/4194304]]]], [[7, 8, 1, 7, 4], [And(0 < v,v < 1), u = v, x < -1, 0
< y, z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2, -2], [1,
1], [908093/524288, 1816187/1048576]]]], [[7, 8, 1, 7, 5], [And(0 < v,v < 1),
u = v, x < -1, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1/2, 1/2
], [-2, -2], [1, 1], [3, 3]]]], [[7, 10, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4,
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, 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-1, z = z], [regular_chain, [[
1/2, 1/2], [3/2, 3/2], [-2, -2], [-4, -4], [0, 0]]]], [[8, 4, 5, 1, 1], [v = 1
, u = -2^(1/2), And(-1 < x,x < 0), y < x, z = z], [regular_chain, [[1, 1], [-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[8, 6, 4
, 2, 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, 2, 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, 2, 3], [v = 1, u = -1, x = 0, y = 0, 0 < z], [regular_chain, [[1, 1], [-\
1, -1], [0, 0], [0, 0], [1, 1]]]], [[8, 10, 4, 5, 1], [v = 1, u = 1, x = 0, 1
< y, z < -y^(1/2)], [regular_chain, [[1, 1], [1, 1], [0, 0], [2, 2], [-3, -3]]
]], [[8, 10, 4, 5, 2], [v = 1, u = 1, x = 0, 1 < y, z = -y^(1/2)], [
regular_chain, [[1, 1], [1, 1], [0, 0], [2, 2], [-1482911/1048576, -741455/
524288]]]], [[8, 10, 4, 5, 3], [v = 1, u = 1, x = 0, 1 < y, And(-y^(1/2) < z,z
< y^(1/2))], [regular_chain, [[1, 1], [1, 1], [0, 0], [2, 2], [0, 0]]]], [[8,
10, 4, 5, 4], [v = 1, u = 1, x = 0, 1 < y, z = y^(1/2)], [regular_chain, [[1,
1], [1, 1], [0, 0], [2, 2], [741455/524288, 1482911/1048576]]]], [[8, 10, 4, 5
, 5], [v = 1, u = 1, x = 0, 1 < y, y^(1/2) < z], [regular_chain, [[1, 1], [1,
1], [0, 0], [2, 2], [3, 3]]]], [[8, 12, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 6, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^
(1/2), x = 0, And(0 < y,y < 2), 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(0 < y,y < 2), 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
(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y <
2), 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+1 < y, z < -(y-x)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 
1265743/1048576], [-1/2, -1/2], [2, 2], [-3, -3]]]], [[9, 12, 3, 7, 2], [And(1
< v,v < 2^(1/2)), u = v, And(-1 < x,x < 0), x+1 < y, z = -(y-x)^(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, 7, 3], [And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 0), x+1 < y, And(-(
y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [2, 2], [0, 0]]]],
[[9, 12, 3, 7, 4], [And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 0), x+1 < y,
z = (y-x)^(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, 7, 5], [And(1 < v,v < 2^(1/2)), u = v, And(-1
< x,x < 0), x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [2, 2], [3
, 3]]]], [[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, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [1643659/1048576, 410915/262144], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[10, 2
, 7, 3, 1], [v = 2^(1/2), u = -2, And(0 < x,x < 1), And(x-1 < 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, 5, 1], [v = 2^(1/2), u = -3^(1/2), And(-1 <
x,x < 0), And(0 < y,y < x+2), z < -(y-x)^(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, 5, 2], [v = 2^(1/2), u = -3^(1/2), And(-1
< x,x < 0), And(0 < y,y < x+2), z = -(y-x)^(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, 5, 3], [v = 2^(
1/2), u = -3^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), And(-(y-x)^(1/2) <
z,z < (y-x)^(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, 5, 4], [v = 2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2)
, z = (y-x)^(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, 5, 5], [v = 2^(1/2), u = -3^(1/2), And(-1 < x
,x < 0), And(0 < y,y < x+2), (y-x)^(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, 1, 1], [v = 2^(1/2), u = -1, x = 0, y < 0, z = z]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [0, 0], [-1, -1
], [0, 0]]]], [[10, 10, 4, 3, 1], [v = 2^(1/2), u = 0, x = -1, And(-2 < y,y <
-1), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-1, -\
1], [-3/2, -3/2], [0, 0]]]], [[10, 16, 2, 2, 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,
2, 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, 2, 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, 3, 1], [v = 2^(1
/2), u = 2, x < -3, And(x-1 < y,y < x), z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [2, 2], [-4, -4], [-9/2, -9/2], [0, 0]]]], [[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, 2*u^2-4 < y, z < -(y-u^2+3)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [6, 6], [15, 
15], [-4, -4]]]], [[10, 19, 10, 7, 2], [v = 2^(1/2), 2 < u, x = u^2-3, 2*u^2-4
< y, z = -(y-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[3, 3], [6, 6], [15, 15], [-3, -3]]]], [[10, 19, 10, 7, 3], [v = 2^(1/2), 2 <
u, x = u^2-3, 2*u^2-4 < y, And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+3)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [6, 6], [15, 15], [0
, 0]]]], [[10, 19, 10, 7, 4], [v = 2^(1/2), 2 < u, x = u^2-3, 2*u^2-4 < y, z =
(y-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [
6, 6], [15, 15], [3, 3]]]], [[10, 19, 10, 7, 5], [v = 2^(1/2), 2 < u, x = u^2-\
3, 2*u^2-4 < y, (y-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911
/1048576], [3, 3], [6, 6], [15, 15], [4, 4]]]], [[11, 6, 3, 3, 1], [2^(1/2) <
v, u = -v, And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z
= -(y-x)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2], [-1/4, -1/4]
, [-1/2, -1/2]]]], [[11, 6, 3, 3, 3], [2^(1/2) < v, u = -v, And(-1 < x,x < 0),
And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3,
3], [-3, -3], [-1/2, -1/2], [-1/4, -1/4], [0, 0]]]], [[11, 6, 3, 3, 4], [2^(1/
2) < v, u = -v, And(-1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2], [-1/4, -1/4], [1/2, 1/2]]]], [
[11, 6, 3, 3, 5], [2^(1/2) < v, u = -v, And(-1 < x,x < 0), And(x < y,y < 0), (
y-x)^(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(x < y,y < x-u^2+v^2+1), z < -(y-
x)^(1/2)], [regular_chain, [[3, 3], [0, 0], [9, 9], [14, 14], [-4, -4]]]], [[
11, 11, 11, 7, 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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [
[3, 3], [0, 0], [9, 9], [14, 14], [-146543/65536, -2344687/1048576]]]], [[11,
11, 11, 7, 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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[3, 3], [0, 0], [9, 9], [14, 14], [0, 0]]]], [[11, 11, 11, 7,
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(x < y,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [0, 0],
[9, 9], [14, 14], [2344687/1048576, 146543/65536]]]], [[11, 11, 11, 7, 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(x <
y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [0, 0], [9, 9],
[14, 14], [4, 4]]]], [[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(0 < y,y < u^2-v^2+x+1), z = z
], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1581613/2097152
, 1581613/2097152], [128885/1048576, 128885/1048576], [0, 0]]]], [[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 < 2*u^2-2*v^2), z < -(y-u^2+v^2+1)^(1/2)], [regular_chain,
[[3, 3], [3396811/1048576, 3396811/1048576], [129511/262144, 518045/1048576],
[3651285/2097152, 3651285/2097152], [-3, -3]]]], [[11, 19, 8, 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^2-1 <
y,y < 2*u^2-2*v^2), z = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [129511/262144, 518045/1048576], [3651285/
2097152, 3651285/2097152], [-1170947/1048576, -585473/524288]]]], [[11, 19, 8,
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^2-1 < y,y < 2*u^2-2*v^2), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^
2+1)^(1/2))], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [
129511/262144, 518045/1048576], [3651285/2097152, 3651285/2097152], [0, 0]]]],
[[11, 19, 8, 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^2-1 < y,y < 2*u^2-2*v^2), z = (y-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511/262144, 
518045/1048576], [3651285/2097152, 3651285/2097152], [585473/524288, 1170947/
1048576]]]], [[11, 19, 8, 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^2-1 < y,y < 2*u^2-2*v^2), (y-u^2+v^2+1)^(1
/2) < z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511
/262144, 518045/1048576], [3651285/2097152, 3651285/2097152], [3, 3]]]], [[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 < -(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, 8, 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, 8, 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, 8, 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, 8, 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, 3, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(
x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576,
-207243/65536], [-1/2, -1/2], [-1/4, -1/4], [-2, -2]]]], [[1, 4, 5, 3, 2], [v
< -2^(1/2), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z = -(y-x
)^(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, 3, 3], [v < -2^(1/2), u = -(v
^2+1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-
x)^(1/2))], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-1/
2, -1/2], [-1/4, -1/4], [0, 0]]]], [[1, 4, 5, 3, 4], [v < -2^(1/2), u = -(v^2+
1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v < -2^(1/2), u = -(v^2+1)^(1/2),
And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-3, -\
3], [-3315889/1048576, -207243/65536], [-1/2, -1/2], [-1/4, -1/4], [2, 2]]]],
[[1, 6, 3, 7, 1], [v < -2^(1/2), u = v, And(-1 < x,x < 0), x+1 < y, z < -(y-x)
^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [-1/2, -1/2], [2, 2], [-3, -3]]]
], [[1, 6, 3, 7, 2], [v < -2^(1/2), u = v, And(-1 < x,x < 0), x+1 < y, z = -(y
-x)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [-1/2, -1/2], [2, 2], [-\
3315889/2097152, -207243/131072]]]], [[1, 6, 3, 7, 3], [v < -2^(1/2), u = v, 
And(-1 < x,x < 0), x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-3, -3], [-3, -3], [-1/2, -1/2], [2, 2], [0, 0]]]], [[1, 6, 3
, 7, 4], [v < -2^(1/2), u = v, And(-1 < x,x < 0), x+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [-3, -3], [-1/2, -1/2], [2, 2], [207243/131072, 
1657945/1048576]]]], [[1, 6, 3, 7, 5], [v < -2^(1/2), u = v, And(-1 < x,x < 0)
, x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-3, -3], [-1/2, -1/2]
, [2, 2], [3, 3]]]], [[1, 12, 1, 4, 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, 4, 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, 4, 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, 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(u^2-v^2+x+1 < y,y < x), z = z], [regular_chain, [[-3, -3], [1435023/524288
, 1435023/524288], [1581613/2097152, 1581613/2097152], [1048577/2097152, 
1048577/2097152], [0, 0]]]], [[1, 17, 10, 3, 1], [v < -2^(1/2), And(-v < u,u <
(v^2+1)^(1/2)), x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [1, 1], [1/2, 1/2], [0, 0]]]], [[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 = 0, z = z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [1566621/2097152, 1566621/2097152], [0, 0], [0, 0]]]], [[2, 3, 10, 7
, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, And(1 < y,y < u^2), 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, 7, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, And(
1 < y,y < u^2), 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, 7, 3], [v = -
2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, And(1 < y,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], [4699771/2097152, 4699771/2097152]
, [0, 0]]]], [[2, 3, 10, 7, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1
, And(1 < y,y < u^2), 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, 7, 5], [v = -
2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, And(1 < y,y < u^2), (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, 6, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(0 < x,x < 1), y = x-u
^2+3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [-6598195/4194304, -6598195/4194304], [1/2, 1/2], [1075057/1048576, 537529/
524288], [-2, -2]]]], [[2, 5, 9, 6, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v)
, And(0 < x,x < 1), y = x-u^2+3, z = -(-u^2+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [1/2,
1/2], [1075057/1048576, 537529/524288], [-379975/524288, -1519899/2097152]]]],
[[2, 5, 9, 6, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(0 < x,x < 1), y
= x-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], [1/2,
1/2], [1075057/1048576, 537529/524288], [-1/4194304, -1/4194304]]]], [[2, 5, 9
, 6, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(0 < x,x < 1), y = x-u^2+3
, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [1/2, 1/2], [1075057/1048576, 537529/
524288], [759949/1048576, 379975/524288]]]], [[2, 5, 9, 6, 5], [v = -2^(1/2),
And(-3^(1/2) < u,u < v), And(0 < x,x < 1), y = x-u^2+3, (-u^2+3)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [1/2, 1/2], [1075057/1048576, 537529/524288], [2, 2]]]], [[2
, 5, 11, 1, 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], [-1, -1], [0, 0]]]], [[2, 7, 11, 5, 1], [v = -2^(1/2
), And(v < u,u < -1), 1 < x, And(x < y,y < u^2+x-1), z < -(y-x)^(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(x < y,y < u^2+x-1
), z = -(y-x)^(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(x < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(
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(x < y,y < u^2+x-\
1), z = (y-x)^(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(x < y,y < u^2+x-1), (y-x)^(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 < 0, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [0, 0], [-1, -1]
, [0, 0]]]], [[2, 15, 8, 5, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 0,
And(-u^2+3 < y,y < u^2-1), z < -y^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [3299097/2097152, 3299097/2097152], [0, 0], [1, 1], [-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 < u^2-1), z = -y^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [0, 0], [1, 1], [-1, -1]]]], [[2,
15, 8, 5, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), 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], [3299097/2097152, 3299097/2097152], [0, 0], [1, 1], [0, 0]]]]
, [[2, 15, 8, 5, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 0, And(-u^2+3
< y,y < u^2-1), z = y^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [0, 0], [1, 1], [1, 1]]]], [[2, 
15, 8, 5, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 0, And(-u^2+3 < y,y
< u^2-1), y^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [0, 0], [1, 1], [2, 2]]]], [[2, 19, 5, 7, 1
], [v = -2^(1/2), 2 < u, And(-1 < x,x < 0), And(0 < y,y < u^2+x-1), z < -(y-x)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1/2, -\
1/2], [15/4, 15/4], [-4, -4]]]], [[2, 19, 5, 7, 2], [v = -2^(1/2), 2 < u, And(
-1 < x,x < 0), And(0 < y,y < u^2+x-1), z = -(y-x)^(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, 7, 3], [v = -2^(1/2), 2 < u,
And(-1 < x,x < 0), And(0 < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1/2, -1/2]
, [15/4, 15/4], [0, 0]]]], [[2, 19, 5, 7, 4], [v = -2^(1/2), 2 < u, And(-1 < x
,x < 0), And(0 < y,y < u^2+x-1), z = (y-x)^(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, 7, 5], [v = -2^(1/2), 2 < u, And(-1 < x,x < 0
), And(0 < y,y < u^2+x-1), (y-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [-1/2, -1/2], [15/4, 15/4], [4, 4]]]], [[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
= x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3],
[8, 8], [8, 8], [-1, -1]]]], [[3, 1, 11, 6, 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, 6
, 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, 9, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -
(v^2-1)^(1/2)), And(0 < x,x < 1), x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1/2, 1/2], [4, 4], [-3, -3]]]], [[3, 7, 9, 9, 2], [And(-2^(
1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), x-u^2+v^2+1
< y, z = -(y-x)^(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, 9, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u <
-(v^2-1)^(1/2)), And(0 < x,x < 1), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363
/4194304, -3949363/4194304], [1/2, 1/2], [4, 4], [0, 0]]]], [[3, 7, 9, 9, 4],
[And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), x-
u^2+v^2+1 < y, z = (y-x)^(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, 9, 5], [And(-2^(1/2) < v,v < -1), And(
v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), x-u^2+v^2+1 < y, (y-x)^(1/2) < z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1/2, 1/2], [4, 4], [3, 3]]]], [[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 =
-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], [3055773/1048576, 
1527887/524288], [-3, -3]]]], [[3, 9, 8, 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 = -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], [3055773/1048576, 1527887/524288], [-\
410915/262144, -3287319/2097152]]]], [[3, 9, 8, 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 = -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], [
3055773/1048576, 1527887/524288], [-1/4194304, -1/4194304]]]], [[3, 9, 8, 6, 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], [
3055773/1048576, 1527887/524288], [1643659/1048576, 410915/262144]]]], [[3, 9,
8, 6, 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],
[3055773/1048576, 1527887/524288], [3, 3]]]], [[3, 17, 5, 3, 1], [And(-2^(1/2)
< v,v < -1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(x-u^2+v^2+1 < y,y < x),
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1/2,
-1/2], [-7909297/2097152, -7909297/2097152], [0, 0]]]], [[4, 1, 11, 2, 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, 3, 1], [v = -1, And(-1 < u,u < 0),
And(0 < x,x < 1), And(0 < y,y < x), z = z], [regular_chain, [[-1, -1], [-1/2,
-1/2], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[4, 9, 7, 9, 1], [v = -1, And(0 < u
,u < 1), And(-u^2 < x,x < 0), x-u^2+2 < y, z < -(y-x)^(1/2)], [regular_chain,
[[-1, -1], [1/2, 1/2], [-1/8, -1/8], [3, 3], [-3, -3]]]], [[4, 9, 7, 9, 2], [v
= -1, And(0 < u,u < 1), And(-u^2 < x,x < 0), x-u^2+2 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8], [3, 3], [-7414553/4194304,
-926819/524288]]]], [[4, 9, 7, 9, 3], [v = -1, And(0 < u,u < 1), And(-u^2 < x,
x < 0), x-u^2+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [
[-1, -1], [1/2, 1/2], [-1/8, -1/8], [3, 3], [0, 0]]]], [[4, 9, 7, 9, 4], [v =
-1, And(0 < u,u < 1), And(-u^2 < x,x < 0), x-u^2+2 < y, z = (y-x)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8], [3, 3], [926819/524288, 
1853639/1048576]]]], [[4, 9, 7, 9, 5], [v = -1, And(0 < u,u < 1), And(-u^2 < x
,x < 0), x-u^2+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2],
[-1/8, -1/8], [3, 3], [3, 3]]]], [[4, 13, 9, 2, 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, 5, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 9, 4, 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, 4,
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, 4, 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, 9, 8, 1], [And(-1 < v,v < 0), And(v < u,u < -v), And(0 < x,x <
1), y = x-u^2+v^2+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, 8, 2], [And(-1 < v,v <
0), And(v < u,u < -v), And(0 < x,x < 1), y = x-u^2+v^2+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, 8, 3], [And(-1 < v,v < 0), And(v < u,
u < -v), And(0 < x,x < 1), y = x-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], [1/2, 1/2], [7/4, 7
/4], [0, 0]]]], [[5, 7, 9, 8, 4], [And(-1 < v,v < 0), And(v < u,u < -v), And(0
< x,x < 1), y = x-u^2+v^2+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, 8, 5], [And(-1 < v,v < 0), And(v < u,u < -v), And(0 < x,x < 1), y = x
-u^2+v^2+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, 7, 11, 5, 1], [And(-1 < v,v < 0), And(v
< u,u < -v), 1 < x, And(x < y,y < u^2-v^2+x+1), z < -(y-x)^(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(x < y,y < u^2-
v^2+x+1), z = -(y-x)^(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(x < y,y < u^2-v^2+x+1), And(-(y-x)
^(1/2) < z,z < (y-x)^(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(x < y,y < u^2-v^2+x+1), z = (y-x)^(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(x < y,y < u^
2-v^2+x+1), (y-x)^(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, u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [1696631/2097152, 1696631/2097152], [2, 2], [5, 5], [-3, -3]]]], [
[5, 9, 11, 9, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, u^
2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [2, 2], [5, 5], [-1816187/1048576, -3632373/2097152
]]]], [[5, 9, 11, 9, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), 1
< x, u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [2, 2], [5, 5], [-1/4194304
, -1/4194304]]]], [[5, 9, 11, 9, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1
)^(1/2)), 1 < x, u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-1/2, -1
/2], [1696631/2097152, 1696631/2097152], [2, 2], [5, 5], [908093/524288, 
1816187/1048576]]]], [[5, 9, 11, 9, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^
2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2,
-1/2], [1696631/2097152, 1696631/2097152], [2, 2], [5, 5], [3, 3]]]], [[6, 2,
4, 3, 1], [v = 0, u = -2^(1/2), x = -1, And(-2 < y,y < -1), z = z], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1, -1], [-3/2, -\
3/2], [0, 0]]]], [[6, 4, 1, 2, 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,
2, 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, 2, 3], [v = 0, u = -1, x < -2, y
= x, 0 < z], [regular_chain, [[0, 0], [-1, -1], [-3, -3], [-3, -3], [1, 1]]]],
[[6, 8, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 1, 1], [v = 0, u = 2^(1/2), x < -3, y < x-1, z = z], [regular_chain,
[[0, 0], [741455/524288, 1482911/1048576], [-4, -4], [-6, -6], [0, 0]]]], [[7,
4, 3, 1, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y < x,
z = z], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3/2
, -3/2], [-3, -3], [0, 0]]]], [[7, 6, 1, 3, 1], [And(0 < v,v < 1), u = -v, x <
-1, And(x < y,y < x+1), z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2,
-1/2], [-2, -2], [-3/2, -3/2], [-2, -2]]]], [[7, 6, 1, 3, 2], [And(0 < v,v < 1
), u = -v, x < -1, And(x < y,y < x+1), z = -(y-x)^(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, 3, 3], [And(0 < v,v < 1), u = -v, x < -1, And(x < y,y
< x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [
-1/2, -1/2], [-2, -2], [-3/2, -3/2], [0, 0]]]], [[7, 6, 1, 3, 4], [And(0 < v,v
< 1), u = -v, x < -1, And(x < y,y < x+1), z = (y-x)^(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, 3, 5], [And(0 < v,v < 1), u = -v, x < -1, And(x < y,y < x+1),
(y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [-3/2,
-3/2], [2, 2]]]], [[7, 13, 10, 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 = z], [regular_chain, [[1/2, 1/2], [3
, 3], [31/4, 31/4], [31/8, 31/8], [0, 0]]]], [[8, 2, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6
, 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, 2, 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, 2,
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, 2, 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, 3, 1], [v = 1, u = 1, And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(
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(x < y,y < 0), z =
-(y-x)^(1/2)], [regular_chain, [[1, 1], [1, 1], [-1/2, -1/2], [-1/4, -1/4], [-\
1/2, -1/2]]]], [[8, 10, 3, 3, 3], [v = 1, u = 1, And(-1 < x,x < 0), And(x < y,
y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [1, 1
], [-1/2, -1/2], [-1/4, -1/4], [0, 0]]]], [[8, 10, 3, 3, 4], [v = 1, u = 1, 
And(-1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[1, 1]
, [1, 1], [-1/2, -1/2], [-1/4, -1/4], [1/2, 1/2]]]], [[8, 10, 3, 3, 5], [v = 1
, u = 1, And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(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-1, z = z], [regular_chain, [[1,
1], [908093/524288, 1816187/1048576], [-2, -2], [-3, -3], [0, 0]]]], [[8, 15,
11, 5, 1], [v = 1, 3^(1/2) < u, u^2-2 < x, And(x-u^2+2 < y,y < x), 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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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 < 0, z = z], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [1/2,
1/2], [-1, -1], [0, 0]]]], [[9, 10, 5, 7, 1], [And(1 < v,v < 2^(1/2)), u = (v^
2-1)^(1/2), And(-1 < x,x < 0), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-1/2, -1/
2], [3, 3], [-3, -3]]]], [[9, 10, 5, 7, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-\
1)^(1/2), And(-1 < x,x < 0), x+2 < y, z = -(y-x)^(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, 7, 3], [And(1 <
v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-1 < x,x < 0), x+2 < y, And(-(y-x)^(1/2
) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576],
[354469/524288, 708939/1048576], [-1/2, -1/2], [3, 3], [0, 0]]]], [[9, 10, 5,
7, 4], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-1 < x,x < 0), x+2 < y,
z = (y-x)^(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, 7, 5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), 
And(-1 < x,x < 0), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-1/2, -1/2], [3,
3], [3, 3]]]], [[9, 16, 4, 5, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2),
x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z
,z < (y+1)^(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(-1 < y,y < 0),
z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = 0, z < -(-x)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9, -9],
[0, 0], [-4, -4]]]], [[10, 1, 1, 8, 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, 8, 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, 8, 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, 8, 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, 7, 2, 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,
3, 1], [v = 2^(1/2), u = -v, x = 1, And(0 < y,y < 1), z = z], [regular_chain,
[[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [1, 1],
[1/2, 1/2], [0, 0]]]], [[10, 12, 3, 3, 1], [v = 2^(1/2), u = 1, And(-2 < x,x <
-1), And(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [-3/2, -3/2], [-3/4, -3/4], [-2, -2]]]], [[10, 12, 3
, 3, 2], [v = 2^(1/2), u = 1, And(-2 < x,x < -1), And(x < y,y < 0), z = -(y-x)
^(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, 3, 3],
[v = 2^(1/2), u = 1, And(-2 < x,x < -1), And(x < y,y < 0), And(-(y-x)^(1/2) <
z,z < (y-x)^(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, 3, 4],
[v = 2^(1/2), u = 1, And(-2 < x,x < -1), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = 2^(1/2), u
= 1, And(-2 < x,x < -1), And(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [
[741455/524288, 1482911/1048576], [1, 1], [-3/2, -3/2], [-3/4, -3/4], [2, 2]]]
], [[10, 14, 2, 2, 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, 2, 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
, 2, 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, 5, 2, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-1 < x,
x < 0), y = x-1, z = z], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[11, 4, 3, 2, 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, 2, 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, 2, 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, 1, 9
, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x < -3, 0 < y, z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-4, -4], [1, 1]
, [-4, -4]]]], [[11, 10, 1, 9, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), x < -3, 0
< y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [-4, -4], [1, 1], [-146543/65536, -2344687/1048576]]]], [[11, 10, 1,
9, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), x < -3, 0 < y, And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576]
, [-4, -4], [1, 1], [0, 0]]]], [[11, 10, 1, 9, 4], [2^(1/2) < v, u = -(v^2-2)^
(1/2), x < -3, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [-4, -4], [1, 1], [2344687/1048576, 146543/65536]]
]], [[11, 10, 1, 9, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), x < -3, 0 < y, (y-x)
^(1/2) < z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-\
4, -4], [1, 1], [4, 4]]]], [[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(0 < y,y < -u^2+v^2-1), z = z],
[regular_chain, [[3, 3], [0, 0], [8, 8], [4, 4], [0, 0]]]], [[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(0
< y,y < u^2-v^2+x+1), z < -(y-x)^(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(0 < y,y < u^2-v^2+x+1), z = -
(y-x)^(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(0 < y,y < u^2-v^2+x+1), And(-(y-x)^
(1/2) < z,z < (y-x)^(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(0 < y,y < u^2-v^2+x+1), z = (y-x)^(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(0 < y,y < u^2-v^2+x+1), (y-x)^(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], [66399/131072, 531193/1048576], [-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], [
66399/131072, 531193/1048576], [-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], [66399/131072, 531193/1048576], [-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], [66399/131072, 531193/1048576],
[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], [66399/131072,
531193/1048576], [2, 2]]]], [[1, 1, 1, 7, 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 < 0), z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-5, -5], [-18, -18], [-1/2, -1/2], [-6, -6]]]], [[1
, 1, 1, 7, 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 < 0), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-18,
-18], [-1/2, -1/2], [-4386509/1048576, -1096627/262144]]]], [[1, 1, 1, 7, 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 < 0),
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-5, -5], [
-18, -18], [-1/2, -1/2], [0, 0]]]], [[1, 1, 1, 7, 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 < 0), z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [-5, -5], [-18, -18], [-1/2, -1/2], [1096627/262144,
4386509/1048576]]]], [[1, 1, 1, 7, 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 < 0), (y-x)^(1/2) < z], [regular_chain, [[-3
, -3], [-5, -5], [-18, -18], [-1/2, -1/2], [6, 6]]]], [[1, 2, 7, 6, 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, 6, 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, 6, 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,
7, 1, 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],
[-1, -1], [0, 0]]]], [[1, 10, 4, 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, 4, 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, 4, 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, 13, 11, 1, 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], [-1, -1], [0, 0]]]], [[1, 15, 9, 9, 1], [v < -2^(1/2), And((v^2-1)^
(1/2) < u,u < -v), And(0 < x,x < 1), x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [4,
4], [-3, -3]]]], [[1, 15, 9, 9, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -
v), And(0 < x,x < 1), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3
, -3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [4, 4], [-7846825/
4194304, -980853/524288]]]], [[1, 15, 9, 9, 3], [v < -2^(1/2), And((v^2-1)^(1/
2) < u,u < -v), And(0 < x,x < 1), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y
-x)^(1/2))], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1
/2, 1/2], [4, 4], [0, 0]]]], [[1, 15, 9, 9, 4], [v < -2^(1/2), And((v^2-1)^(1/
2) < u,u < -v), And(0 < x,x < 1), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [4,
4], [980853/524288, 1961707/1048576]]]], [[1, 15, 9, 9, 5], [v < -2^(1/2), And
((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), x-u^2+v^2+1 < y, (y-x)^(1/2) < z
], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1/2, 1/2],
[4, 4], [3, 3]]]], [[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 < -(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, 8, 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, 8, 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, 8, 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, 8, 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, 5, 1], [v = -2^(1/2), u = -2, x = -3, And(-3 < y,y < 0),
z < -(y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -\
2], [-3, -3], [-3/2, -3/2], [-3, -3]]]], [[2, 2, 2, 5, 2], [v = -2^(1/2), u =
-2, x = -3, And(-3 < y,y < 0), z = -(y+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-2, -2], [-3, -3], [-3/2, -3/2], [-1284239/1048576,
-642119/524288]]]], [[2, 2, 2, 5, 3], [v = -2^(1/2), u = -2, x = -3, And(-3 <
y,y < 0), And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-2, -2], [-3, -3], [-3/2, -3/2], [0, 0]]]], [[2, 2,
2, 5, 4], [v = -2^(1/2), u = -2, x = -3, And(-3 < y,y < 0), z = (y+3)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-3, -3], [-3/2
, -3/2], [642119/524288, 1284239/1048576]]]], [[2, 2, 2, 5, 5], [v = -2^(1/2),
u = -2, x = -3, And(-3 < y,y < 0), (y+3)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-2, -2], [-3, -3], [-3/2, -3/2], [3, 3]]]],
[[2, 9, 10, 5, 1], [v = -2^(1/2), And(-1 < u,u < 0), x = 1, And(u^2 < y,y < 1)
, 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 = 0, z = z], [regular_chain, [[-1482911/1048576,
-741455/524288], [1/2, 1/2], [3/8, 3/8], [0, 0], [0, 0]]]], [[2, 17, 7, 3, 1],
[v = -2^(1/2), And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), And(x-u^2+3 < 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, 2, 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, 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 = 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], [
3101083/1048576, 775271/262144], [-3, -3]]]], [[3, 3, 8, 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 = 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], [3101083/1048576, 775271/262144], [-3301741/2097152, -825435/
524288]]]], [[3, 3, 8, 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 = 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], [3101083/1048576, 775271/262144], [0, 0]]]], [[3, 3, 8, 6, 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], [3101083/1048576, 775271/262144], [825435/524288, 1650871/
1048576]]]], [[3, 3, 8, 6, 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], [3101083/1048576, 775271/
262144], [3, 3]]]], [[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(0 < y,y < x-u^2+v^2+1), z < -(
y-x)^(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(0 < y,y < x-
u^2+v^2+1), z = -(y-x)^(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(0 < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z
,z < (y-x)^(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(0 < y,y < x-u^2+v^2+1), z = (y-x)^(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(0 < y,y < x-u^2+v^2+1)
, (y-x)^(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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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], [1259641/1048576, 629821/
524288], [-3, -3]]]], [[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 = 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], [1259641/1048576,
629821/524288], [-1270261/1048576, -317565/262144]]]], [[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 = u^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], [1259641/1048576, 629821/
524288], [0, 0]]]], [[3, 13, 7, 8, 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], [1259641/1048576, 629821
/524288], [317565/262144, 1270261/1048576]]]], [[3, 13, 7, 8, 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], [1259641/1048576, 629821/524288], [3, 3]]]], [[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-
u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [270657/
262144, 1082629/1048576], [-2, -2]]]], [[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-u^2+v^2+1, z = -
(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [1/2, 1/2], [270657/262144, 1082629/1048576
], [-765155/1048576, -1530309/2097152]]]], [[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-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], [1/2,
1/2], [270657/262144, 1082629/1048576], [-1/4194304, -1/4194304]]]], [[3, 13,
9, 6, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,
x < 1), y = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [
270657/262144, 1082629/1048576], [382577/524288, 765155/1048576]]]], [[3, 13,
9, 6, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,
x < 1), y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [
270657/262144, 1082629/1048576], [2, 2]]]], [[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(0 < y,
y < u^2-v^2-1), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[898327/524288, 898327/524288], [501965/1048576, 250983/524288], [501965/
2097152, 501965/2097152], [0, 0]]]], [[4, 3, 10, 1, 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], [-1, -1], [0, 0]]]], [[4, 5, 8, 7, 1], [v
= -1, And(-2^(1/2) < u,u < -1), x = 0, u^2 < y, z < -y^(1/2)], [regular_chain,
[[-1, -1], [-1265743/1048576, -1265743/1048576], [0, 0], [3, 3], [-3, -3]]]],
[[4, 5, 8, 7, 2], [v = -1, And(-2^(1/2) < u,u < -1), x = 0, u^2 < y, z = -y^(1
/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [0, 0],
[3, 3], [-1816187/1048576, -3632373/2097152]]]], [[4, 5, 8, 7, 3], [v = -1, 
And(-2^(1/2) < u,u < -1), x = 0, u^2 < y, 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, 7, 4], [v = -1, And(-2^(1/2) < u,u <
-1), x = 0, u^2 < y, z = y^(1/2)], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [0, 0], [3, 3], [908093/524288, 1816187/1048576]]]
], [[4, 5, 8, 7, 5], [v = -1, And(-2^(1/2) < u,u < -1), x = 0, u^2 < y, y^(1/2
) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [0, 0
], [3, 3], [3, 3]]]], [[4, 9, 9, 7, 1], [v = -1, And(0 < u,u < 1), And(0 < x,x
< 1), And(u^2+x < y,y < x-u^2+2), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1]
, [1/2, 1/2], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[4, 9, 9, 7, 2], [v = -1,
And(0 < u,u < 1), And(0 < x,x < 1), And(u^2+x < y,y < x-u^2+2), z = -(y-x)^(1/
2)], [regular_chain, [[-1, -1], [1/2, 1/2], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]
], [[4, 9, 9, 7, 3], [v = -1, And(0 < u,u < 1), And(0 < x,x < 1), And(u^2+x <
y,y < x-u^2+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1,
-1], [1/2, 1/2], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[4, 9, 9, 7, 4], [v = -1,
And(0 < u,u < 1), And(0 < x,x < 1), And(u^2+x < y,y < x-u^2+2), z = (y-x)^(1/2
)], [regular_chain, [[-1, -1], [1/2, 1/2], [1/2, 1/2], [3/2, 3/2], [1, 1]]]],
[[4, 9, 9, 7, 5], [v = -1, And(0 < u,u < 1), And(0 < x,x < 1), And(u^2+x < y,y
< x-u^2+2), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2], [1/2, 1/2
], [3/2, 3/2], [2, 2]]]], [[4, 11, 10, 2, 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, 2, 2, 5, 1], [And(-1 < v,v < 0), u =
-(v^2+2)^(1/2), x = -3, And(-3 < y,y < 0), z < -(y+3)^(1/2)], [regular_chain,
[[-1/2, -1/2], [-3/2, -3/2], [-3, -3], [-3/2, -3/2], [-3, -3]]]], [[5, 2, 2, 5
, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -3, And(-3 < y,y < 0), z = -
(y+3)^(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, 5, 3], [And(-1 < v,v <
0), u = -(v^2+2)^(1/2), x = -3, And(-3 < y,y < 0), And(-(y+3)^(1/2) < z,z < (y
+3)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-3, -3], [-3/2, -3/
2], [0, 0]]]], [[5, 2, 2, 5, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -\
3, And(-3 < y,y < 0), z = (y+3)^(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,
5, 5], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -3, And(-3 < y,y < 0), (y+3
)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-3, -3], [-3/2, -3
/2], [3, 3]]]], [[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 = 1, z < 0], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [1, 1], [1, 1], [-1, -1]]]], [[5, 3, 10, 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, 10, 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, 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
(1 < y,y < u^2-v^2+2), 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, 7, 2], [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 = -(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,
7, 3], [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), 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, 7, 4], [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 =
(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, 7, 5], [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), (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, 7, 6, 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, 6, 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, 6, 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, 5, 11, 2, 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, 11, 6, 1], [v = 0, And(0 < u,u < 1), 1 < x,
y = x-u^2+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, 6, 2], [v = 0, And(0 < u,u < 1), 1 <
x, y = x-u^2+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, 6, 3],
[v = 0, And(0 < u,u < 1), 1 < x, y = x-u^2+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, 6, 4], [v = 0, And(0 < u,u < 1), 1 < x, y
= x-u^2+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, 6, 5], [v = 0, 
And(0 < u,u < 1), 1 < x, y = x-u^2+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, 8, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 2, 3, 7, 1],
[And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3),
z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-2, -2], [1/2,
1/2], [-3, -3]]]], [[7, 2, 3, 7, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), 
And(-3 < x,x < -1), And(0 < y,y < x+3), z = -(y-x)^(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, 7, 3], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-3 <
x,x < -1), And(0 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-2, -2], [1/2, 1/2], [0, 0]]]], [[7
, 2, 3, 7, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(
0 < y,y < x+3), z = (y-x)^(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, 7, 5], [
And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3),
(y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-2, -2], [1/2, 1
/2], [3, 3]]]], [[7, 8, 2, 1, 1], [And(0 < v,v < 1), u = v, x = -1, y < -1, z
= z], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1, -1], [-2, -2], [0, 0]]]],
[[7, 10, 2, 5, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -2, 0 < y, z < -(
y+2)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-\
2, -2], [1, 1], [-3, -3]]]], [[7, 10, 2, 5, 2], [And(0 < v,v < 1), u = (v^2+1)
^(1/2), x = -2, 0 < y, z = -(y+2)^(1/2)], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [-2, -2], [1, 1], [-1816187/1048576, -3632373
/2097152]]]], [[7, 10, 2, 5, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -2,
0 < y, And(-(y+2)^(1/2) < z,z < (y+2)^(1/2))], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [-2, -2], [1, 1], [-1/4194304, -1/4194304]]]]
, [[7, 10, 2, 5, 4], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -2, 0 < y, z =
(y+2)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [
-2, -2], [1, 1], [908093/524288, 1816187/1048576]]]], [[7, 10, 2, 5, 5], [And(
0 < v,v < 1), u = (v^2+1)^(1/2), x = -2, 0 < y, (y+2)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-2, -2], [1, 1]
, [3, 3]]]], [[7, 10, 4, 5, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -1,
And(0 < y,y < 1), z < -(y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/
1048576, 146543/131072], [-1, -1], [1/2, 1/2], [-3, -3]]]], [[7, 10, 4, 5, 2],
[And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -1, And(0 < y,y < 1), z = -(y+1)^(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, 5, 3], [And(0 <
v,v < 1), u = (v^2+1)^(1/2), x = -1, And(0 < 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], [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 = (y+1)^(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, 5, 5], [And(0 < v,v < 1), u = (v^2+1)
^(1/2), x = -1, And(0 < y,y < 1), (y+1)^(1/2) < z], [regular_chain, [[1/2, 1/2
], [1172343/1048576, 146543/131072], [-1, -1], [1/2, 1/2], [3, 3]]]], [[7, 12,
3, 2, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = x-1, z
= z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-2, -2], [-3, -3], [0, 0]]]],
[[8, 4, 4, 7, 1], [v = 1, u = -2^(1/2), x = -1, 1 < y, z < -(y+1)^(1/2)], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-1, -1], [2, 2],
[-3, -3]]]], [[8, 4, 4, 7, 2], [v = 1, u = -2^(1/2), x = -1, 1 < y, z = -(y+1)
^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-1, -1]
, [2, 2], [-1816187/1048576, -3632373/2097152]]]], [[8, 4, 4, 7, 3], [v = 1, u
= -2^(1/2), x = -1, 1 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-1, -1], [2, 2],
[-1/4194304, -1/4194304]]]], [[8, 4, 4, 7, 4], [v = 1, u = -2^(1/2), x = -1, 1
< y, z = (y+1)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [-1, -1], [2, 2], [908093/524288, 1816187/1048576]]]], [[8, 4, 4, 7,
5], [v = 1, u = -2^(1/2), x = -1, 1 < y, (y+1)^(1/2) < z], [regular_chain, [[1
, 1], [-1482911/1048576, -741455/524288], [-1, -1], [2, 2], [3, 3]]]], [[8, 6,
4, 1, 1], [v = 1, u = -1, x = 0, y < 0, z = z], [regular_chain, [[1, 1], [-1,
-1], [0, 0], [-1, -1], [0, 0]]]], [[8, 10, 5, 1, 1], [v = 1, u = 1, And(0 < x,
x < 1), y < 0, z = z], [regular_chain, [[1, 1], [1, 1], [1/2, 1/2], [-1, -1],
[0, 0]]]], [[8, 12, 5, 7, 1], [v = 1, u = 2^(1/2), And(-1 < x,x < 0), x+2 < y,
z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576],
[-1/2, -1/2], [3, 3], [-3, -3]]]], [[8, 12, 5, 7, 2], [v = 1, u = 2^(1/2), And
(-1 < x,x < 0), x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [741455/
524288, 1482911/1048576], [-1/2, -1/2], [3, 3], [-7846825/4194304, -980853/
524288]]]], [[8, 12, 5, 7, 3], [v = 1, u = 2^(1/2), And(-1 < x,x < 0), x+2 < y
, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [741455/
524288, 1482911/1048576], [-1/2, -1/2], [3, 3], [0, 0]]]], [[8, 12, 5, 7, 4],
[v = 1, u = 2^(1/2), And(-1 < x,x < 0), x+2 < y, z = (y-x)^(1/2)], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1/2, -1/2], [3, 3]
, [980853/524288, 1961707/1048576]]]], [[8, 12, 5, 7, 5], [v = 1, u = 2^(1/2),
And(-1 < x,x < 0), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [741455
/524288, 1482911/1048576], [-1/2, -1/2], [3, 3], [3, 3]]]], [[9, 2, 7, 7, 1],
[And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < x
+3), z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-3899297/2097152, -7798593/4194304], [1/2, 1/2], [2, 2], [-3, -3]]]], [[9, 2,
7, 7, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(x
< y,y < x+3), z = -(y-x)^(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, 7, 3], [And(1 < v,v < 2^(1/2)), u = -(
v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [1/2, 1/2], [2, 2], [0, 0]]]], [[9, 2, 7, 7, 4], [
And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+
3), z = (y-x)^(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, 7, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(
1/2), And(0 < x,x < 1), And(x < y,y < x+3), (y-x)^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [1/
2, 1/2], [2, 2], [3, 3]]]], [[9, 4, 6, 2, 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, 2, 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, 2, 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, 4, 1, 1], [And(1 < v,v < 2^(1/2)), u = v, x = 0, y < 0, z
= z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 
1265743/1048576], [0, 0], [-1, -1], [0, 0]]]], [[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, 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, 2, 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, 2, 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, 2, 1], [v = 2^(1/2
), u = -2, And(0 < x,x < 1), y = x-1, z = z], [regular_chain, [[741455/524288,
1482911/1048576], [-2, -2], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[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 = 0, z < 0], [regular_chain, [[741455/524288, 1482911/1048576],
[-1, -1], [0, 0], [0, 0], [-1, -1]]]], [[10, 8, 6, 2, 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, 2, 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, 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, 4, 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, 4, 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, 16, 2, 1, 1], [v = 2^(1/2), u = 3^(1/2), x = -2,
y < -2, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [908093/
524288, 1816187/1048576], [-2, -2], [-3, -3], [0, 0]]]], [[10, 18, 1, 2, 1], [
v = 2^(1/2), u = 2, x < -3, y = x-1, z = z], [regular_chain, [[741455/524288,
1482911/1048576], [2, 2], [-4, -4], [-5, -5], [0, 0]]]], [[10, 18, 2, 3, 1], [
v = 2^(1/2), u = 2, x = -3, And(-4 < y,y < -3), z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [2, 2], [-3, -3], [-7/2, -7/2], [0, 0]]]], [[
10, 19, 10, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 < -(y+1)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576,
-11863283/4194304], [-1, -1], [1/2, 1/2], [-3, -3]]]], [[11, 8, 4, 5, 2], [2^(
1/2) < v, u = -(v^2-1)^(1/2), x = -1, And(0 < y,y < 1), z = -(y+1)^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1, -1], [1/2,
1/2], [-1284239/1048576, -642119/524288]]]], [[11, 8, 4, 5, 3], [2^(1/2) < v,
u = -(v^2-1)^(1/2), x = -1, And(0 < y,y < 1), And(-(y+1)^(1/2) < z,z < (y+1)^(
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 = (y+1)^(1/2)], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [-1, -1], [1/2, 1/2], [642119/524288, 
1284239/1048576]]]], [[11, 8, 4, 5, 5], [2^(1/2) < v, u = -(v^2-1)^(1/2), x =
-1, And(0 < y,y < 1), (y+1)^(1/2) < z], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [-1, -1], [1/2, 1/2], [3, 3]]]], [[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
= x, z < 0], [regular_chain, [[3, 3], [0, 0], [9, 9], [9, 9], [-1, -1]]]], [[
11, 11, 11, 6, 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, 6, 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, 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 = 0, z = z], [regular_chain,
[[3, 3], [1435023/524288, 1435023/524288], [1581613/2097152, 1581613/2097152],
[0, 0], [0, 0]]]], [[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 = 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], [391655/131072, 3133241/1048576], [-3, -3]]]], [[11, 19, 8, 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
= 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], [391655/131072, 
3133241/1048576], [-1655969/1048576, -3311937/2097152]]]], [[11, 19, 8, 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 = 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],
[391655/131072, 3133241/1048576], [-1/4194304, -1/4194304]]]], [[11, 19, 8, 6,
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], [391655/131072, 3133241/
1048576], [51749/32768, 1655969/1048576]]]], [[11, 19, 8, 6, 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], [391655/131072, 3133241/1048576], [3, 3]]]
], [[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 < -(y-x)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-1/2, -1/2]
, [18, 18], [-6, -6]]]], [[11, 21, 5, 9, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u,
And(-1 < x,x < 0), u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3]
, [5, 5], [-1/2, -1/2], [18, 18], [-281881/65536, -4510095/1048576]]]], [[11,
21, 5, 9, 3], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-1 < x,x < 0), u^2-v^2+x+1
< y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [5, 5],
[-1/2, -1/2], [18, 18], [0, 0]]]], [[11, 21, 5, 9, 4], [2^(1/2) < v, (v^2+2)^(
1/2) < u, And(-1 < x,x < 0), u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain
, [[3, 3], [5, 5], [-1/2, -1/2], [18, 18], [4510095/1048576, 281881/65536]]]],
[[11, 21, 5, 9, 5], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-1 < x,x < 0), u^2-v^
2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [5, 5], [-1/2, -1/2], [
18, 18], [6, 6]]]], [[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 < 0, z = z], [regular_chain, [[-3, -3], [-3, -3], [0, 0], [
-1, -1], [0, 0]]]], [[1, 12, 1, 3, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x < -\
3, And(x-1 < y,y < x), z = z], [regular_chain, [[-3, -3], [2774271/1048576, 
10837/4096], [-4, -4], [-9/2, -9/2], [0, 0]]]], [[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 = u
^2-v^2+x+1, z = z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288
], [1581613/2097152, 1581613/2097152], [128885/524288, 257771/1048576], [0, 0]
]]], [[1, 17, 10, 4, 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, 4, 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, 4, 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, 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(0 < y,y < x-u^2+v^2+1), z = z], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [1566621/2097152, 1566621/2097152], [132633/1048576
, 132633/1048576], [0, 0]]]], [[2, 3, 10, 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, 10, 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, 10, 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, 5, 9, 5, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(0 <
x,x < 1), And(x < y,y < x-u^2+3), z < -(y-x)^(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(x < y,y < x-u^2+3), z
= -(y-x)^(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(x < y,y < x-u^2+3), And(-(
y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < x-u^2+3), z = (y-x)^(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(x < y,y < x-u^2+3), (y-x)^(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 = 0, z = z]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [2, 2], [0, 0], [0, 0]]]], [[2, 7, 11, 6, 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
], [1288231/524288, 2576463/1048576], [-2, -2]]]], [[2, 7, 11, 6, 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], [1288231/524288, 2576463/1048576], [-1417877/2097152
, -354469/524288]]]], [[2, 7, 11, 6, 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
], [1288231/524288, 2576463/1048576], [0, 0]]]], [[2, 7, 11, 6, 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], [1288231/524288, 2576463/1048576], [354469/524288, 708939/1048576]]]],
[[2, 7, 11, 6, 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], [1288231/524288, 2576463/1048576], [2, 2]]
]], [[2, 13, 7, 9, 1], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 0)
, x-u^2+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-239655/1048576, -239655/1048576
], [3, 3], [-3, -3]]]], [[2, 13, 7, 9, 2], [v = -2^(1/2), And(1 < u,u < -v), 
And(-u^2+1 < x,x < 0), x-u^2+3 < y, z = -(y-x)^(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, 9, 3], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 0), x-u
^2+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9, 4], [v
= -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 0), x-u^2+3 < y, z = (y-x)^(
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, 9, 5], [v = -2^(1/2), And(1 < u,u < -v), And(
-u^2+1 < x,x < 0), x-u^2+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-239655/1048576
, -239655/1048576], [3, 3], [3, 3]]]], [[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]
, [275385/524288, 550771/1048576], [-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], [275385/524288, 550771/1048576], [-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],
[275385/524288, 550771/1048576], [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], [275385/524288, 550771/1048576], [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], [275385/524288, 550771/
1048576], [2, 2]]]], [[2, 19, 5, 8, 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, 8
, 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, 8, 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, 8, 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, 8, 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, 7, 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 < -(y-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [8, 8], [25735089/2097152, 
25735089/2097152], [-4, -4]]]], [[3, 1, 11, 7, 2], [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 = -(y-x)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [8, 8], [
25735089/2097152, 25735089/2097152], [-2167143/1048576, -1083571/524288]]]], [
[3, 1, 11, 7, 3], [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), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [8, 8], [
25735089/2097152, 25735089/2097152], [0, 0]]]], [[3, 1, 11, 7, 4], [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 = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3,
-3], [8, 8], [25735089/2097152, 25735089/2097152], [1083571/524288, 2167143/
1048576]]]], [[3, 1, 11, 7, 5], [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), (y-x)^(1/2) < z], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-3, -3], [8, 8], [25735089/2097152, 
25735089/2097152], [4, 4]]]], [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+
1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [1/2, 1/2], [2171069/1048576, 1085535/524288], [-3
, -3]]]], [[3, 7, 9, 8, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^
(1/2)), And(0 < x,x < 1), y = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1/2, 1/2], [2171069/1048576, 1085535/524288], [-1314069/
1048576, -328517/262144]]]], [[3, 7, 9, 8, 3], [And(-2^(1/2) < v,v < -1), And(
v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = x-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], [1/2, 1/2], [2171069/
1048576, 1085535/524288], [0, 0]]]], [[3, 7, 9, 8, 4], [And(-2^(1/2) < v,v < -\
1), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = x-u^2+v^2+1, z = (-u^
2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [1/2, 1/2], [2171069/1048576, 1085535/
524288], [328517/262144, 1314069/1048576]]]], [[3, 7, 9, 8, 5], [And(-2^(1/2)
< v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = x-u^2+v^2+1,
(-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-3949363/4194304, -3949363/4194304], [1/2, 1/2], [2171069/1048576, 1085535/
524288], [3, 3]]]], [[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 < -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], [883771/524288, 883771/
524288], [-3, -3]]]], [[3, 9, 8, 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^2-1 < y,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], [883771/524288, 
883771/524288], [-1162243/1048576, -581121/524288]]]], [[3, 9, 8, 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^2-1 < 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], [0,
0], [239655/524288, 479311/1048576], [883771/524288, 883771/524288], [0, 0]]]]
, [[3, 9, 8, 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^2-1 < y,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], [883771/524288, 883771/524288], [581121/524288
, 1162243/1048576]]]], [[3, 9, 8, 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^2-1 < y,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], [883771/524288, 
883771/524288], [3, 3]]]], [[3, 17, 5, 2, 1], [And(-2^(1/2) < v,v < -1), (v^2+
2)^(1/2) < u, And(-1 < x,x < 0), y = x-u^2+v^2+1, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [-1/2, -1/2], [-3692505/524288, -\
7385009/1048576], [0, 0]]]], [[4, 1, 11, 1, 1], [v = -1, u < -3^(1/2), u^2-2 <
x, y < 0, z = z], [regular_chain, [[-1, -1], [-3, -3], [8, 8], [-1, -1], [0, 0
]]]], [[4, 7, 9, 4, 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, 4, 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, 4, 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, 1, 1], [v = -1, And(0 < u,u < 1), x = 0, y < 0, z = z], [
regular_chain, [[-1, -1], [1/2, 1/2], [0, 0], [-1, -1], [0, 0]]]], [[4, 13, 9,
1, 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], [-1, -1], [0, 0]]]], [[4, 15, 5, 7, 1], [v = -1, 3^(
1/2) < u, And(-1 < x,x < 0), And(0 < y,y < u^2+x), z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [3, 3], [-1/2, -1/2], [17/4, 17/4], [-4, -4]]]], [[4
, 15, 5, 7, 2], [v = -1, 3^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < u^2+x),
z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-1/2, -1/2], [17/4, 17/
4], [-2285319/1048576, -1142659/524288]]]], [[4, 15, 5, 7, 3], [v = -1, 3^(1/2
) < u, And(-1 < x,x < 0), And(0 < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[-1, -1], [3, 3], [-1/2, -1/2], [17/4, 17/4], [0, 0
]]]], [[4, 15, 5, 7, 4], [v = -1, 3^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y
< u^2+x), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-1/2, -1/2], [
17/4, 17/4], [1142659/524288, 2285319/1048576]]]], [[4, 15, 5, 7, 5], [v = -1,
3^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < u^2+x), (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [3, 3], [-1/2, -1/2], [17/4, 17/4], [4, 4]]]], [[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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x
< y,y < x-u^2+v^2+1), z = (y-x)^(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(x < y,y < x-u^2+v^2
+1), (y-x)^(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), x-u^2+
v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1/2
], [3, 3], [-3, -3]]]], [[5, 7, 9, 9, 2], [And(-1 < v,v < 0), And(v < u,u < -v
), And(0 < x,x < 1), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1/
2, -1/2], [0, 0], [1/2, 1/2], [3, 3], [-3315889/2097152, -207243/131072]]]], [
[5, 7, 9, 9, 3], [And(-1 < v,v < 0), And(v < u,u < -v), And(0 < x,x < 1), x-u^
2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -\
1/2], [0, 0], [1/2, 1/2], [3, 3], [0, 0]]]], [[5, 7, 9, 9, 4], [And(-1 < v,v <
0), And(v < u,u < -v), And(0 < x,x < 1), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1/2], [3, 3], [207243/131072, 
1657945/1048576]]]], [[5, 7, 9, 9, 5], [And(-1 < v,v < 0), And(v < u,u < -v),
And(0 < x,x < 1), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -\
1/2], [0, 0], [1/2, 1/2], [3, 3], [3, 3]]]], [[5, 7, 11, 4, 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, 4, 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, 4, 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, 9, 11, 8, 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], [3569885/1048576, 
1784943/524288], [-3, -3]]]], [[5, 9, 11, 8, 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], [
3569885/1048576, 1784943/524288], [-19417/16384, -1242687/1048576]]]], [[5, 9,
11, 8, 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], [3569885/1048576, 
1784943/524288], [0, 0]]]], [[5, 9, 11, 8, 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], [
3569885/1048576, 1784943/524288], [1242687/1048576, 19417/16384]]]], [[5, 9, 
11, 8, 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], [3569885/1048576, 1784943/524288], [3, 3]]]
], [[6, 2, 4, 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, 4, 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, 4, 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, 1, 3, 1], [v = 0, u = -1, x < -2, And(x < y,y < x+2), z
< -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-3, -3], [-2, -2], [-2, -\
2]]]], [[6, 4, 1, 3, 2], [v = 0, u = -1, x < -2, And(x < y,y < x+2), z = -(y-x
)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-3, -3], [-2, -2], [-1, -1]]]],
[[6, 4, 1, 3, 3], [v = 0, u = -1, x < -2, And(x < y,y < x+2), And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [-1, -1], [-3, -3], [-2, -2],
[0, 0]]]], [[6, 4, 1, 3, 4], [v = 0, u = -1, x < -2, And(x < y,y < x+2), z = (
y-x)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-3, -3], [-2, -2], [1, 1]]]],
[[6, 4, 1, 3, 5], [v = 0, u = -1, x < -2, And(x < y,y < x+2), (y-x)^(1/2) < z]
, [regular_chain, [[0, 0], [-1, -1], [-3, -3], [-2, -2], [2, 2]]]], [[6, 8, 2,
3, 1], [v = 0, u = 1, x = -2, And(-2 < y,y < 0), z < -(y+2)^(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(-2 < y,y < 0), z = -(y+2)^(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(-2 < y,y < 0), And(-(y+2)^(1/2) < z,z < (y+2)^(
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(-2 < y,y < 0), z = (y+2)^(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(-2 < y,y < 0), (y+2)^(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, u^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[
0, 0], [1265743/1048576, 1265743/1048576], [2, 2], [6, 6], [-3, -3]]]], [[6, 9
, 11, 9, 2], [v = 0, And(1 < u,u < 2^(1/2)), 1 < x, u^2+x+1 < y, z = -(y-x)^(1
/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [2, 2], [6,
6], [-2, -2]]]], [[6, 9, 11, 9, 3], [v = 0, And(1 < u,u < 2^(1/2)), 1 < x, u^2
+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [2, 2], [6, 6], [0, 0]]]], [[6, 9, 11, 9, 4
], [v = 0, And(1 < u,u < 2^(1/2)), 1 < x, u^2+x+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [2, 2], [6, 6], [2
, 2]]]], [[6, 9, 11, 9, 5], [v = 0, And(1 < u,u < 2^(1/2)), 1 < x, u^2+x+1 < y
, (y-x)^(1/2) < z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576
], [2, 2], [6, 6], [3, 3]]]], [[7, 4, 3, 2, 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, 2, 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, 2, 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, 6, 1, 4, 1], [And(0 < v,v < 1), u = -v, x < -1, y = x+1, 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 = x+1, 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 = x+1, 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 = x+1, 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 = x+1, 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(0 < y,y < x+3), z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [5
/4, 5/4], [-3, -3]]]], [[8, 2, 5, 7, 2], [v = 1, u = -3^(1/2), And(-1 < x,x <
0), And(0 < y,y < x+3), z = -(y-x)^(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, 7, 3], [v = 1, u = -3^(1/2), And(-1 < x,x < 0), And(0
< y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1],
[-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [5/4, 5/4], [0, 0]]]], [[8
, 2, 5, 7, 4], [v = 1, u = -3^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), z
= (y-x)^(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, 7, 5],
[v = 1, u = -3^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), (y-x)^(1/2) < z],
[regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [
5/4, 5/4], [3, 3]]]], [[8, 8, 4, 1, 1], [v = 1, u = 0, x = -1, y < -1, z = z],
[regular_chain, [[1, 1], [0, 0], [-1, -1], [-2, -2], [0, 0]]]], [[8, 10, 3, 2,
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, 2, 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, 2, 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, 3, 1], [v = 1, u = 3^(1/2), And(-3 < x,x < -1), And
(x-1 < y,y < x), z = z], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [-2, -2], [-5/2, -5/2], [0, 0]]]], [[8, 15, 11, 6, 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, 6, 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,
6, 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, 2, 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, 2, 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, 2, 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, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-1 < x
,x < 0), And(x < y,y < 0), z < -(y-x)^(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, 3, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2
-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [And(
1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), 
And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2),
And(-1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [And(1 < v,v < 2^(1/2)),
u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(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, 7, 2, 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, 1, 1], [And(1 < v,v < 2^(
1/2)), u = (v^2-1)^(1/2), x = 0, y < 0, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [354469/524288, 708939/1048576], [0, 0], [-1, -1],
[0, 0]]]], [[9, 16, 4, 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, 4, 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, 4, 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, 1, 7, 1], [v = 2^(1/2), u < -2, x < -u^2+1, And(u^2+x-1
< y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [-9, -9], [-1/2, -1/2], [-4, -4]]]], [[10, 1, 1, 7, 2], [v
= 2^(1/2), u < -2, x < -u^2+1, And(u^2+x-1 < y,y < 0), z = -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9, -9], [-1/2, -\
1/2], [-24456785/8388608, -1528549/524288]]]], [[10, 1, 1, 7, 3], [v = 2^(1/2)
, u < -2, x < -u^2+1, And(u^2+x-1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9, -9],
[-1/2, -1/2], [0, 0]]]], [[10, 1, 1, 7, 4], [v = 2^(1/2), u < -2, x < -u^2+1,
And(u^2+x-1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [-9, -9], [-1/2, -1/2], [1528549/524288, 3057099/
1048576]]]], [[10, 1, 1, 7, 5], [v = 2^(1/2), u < -2, x < -u^2+1, And(u^2+x-1
< y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576
], [-3, -3], [-9, -9], [-1/2, -1/2], [4, 4]]]], [[10, 4, 7, 3, 1], [v = 2^(1/2
), u = -3^(1/2), And(0 < x,x < 1), And(0 < y,y < x), 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, 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, z < 0], [regular_chain, [[741455/524288, 1482911/
1048576], [1, 1], [-3/2, -3/2], [-3/2, -3/2], [-1, -1]]]], [[10, 12, 3, 2, 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, 2, 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, 14, 2, 1, 1], [v = 2^(1/2), u = v, x = -1, y < -1, z
= z], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 
1482911/1048576], [-1, -1], [-2, -2], [0, 0]]]], [[11, 2, 5, 1, 1], [2^(1/2) <
v, u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y < x-1, z = z], [regular_chain, [[3
, 3], [-1738867/524288, -3477733/1048576], [-1/2, -1/2], [-3, -3], [0, 0]]]],
[[11, 4, 3, 1, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y < x
, z = z], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3/2, -\
3/2], [-3, -3], [0, 0]]]], [[11, 10, 2, 1, 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], [-5, -5], [0, 0]]]], [[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 = 0, z < -(-x)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-516571/2097152,
-516571/2097152], [0, 0], [-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 = 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, 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 =
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, 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 = 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, 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 = 0, (-x)^(1/2) < z], [regular_chain,
[[3, 3], [6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152
], [0, 0], [2, 2]]]], [[11, 17, 8, 3, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^
(1/2)), x = 0, And(0 < y,y < -u^2+v^2+1), z < -y^(1/2)], [regular_chain, [[3,
3], [403851/131072, 403851/131072], [0, 0], [66399/262144, 66399/262144], [-2,
-2]]]], [[11, 17, 8, 3, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 0,
And(0 < y,y < -u^2+v^2+1), z = -y^(1/2)], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [0, 0], [66399/262144, 66399/262144], [-527729/1048576
, -1055457/2097152]]]], [[11, 17, 8, 3, 3], [2^(1/2) < v, And(v < u,u < (v^2+1
)^(1/2)), x = 0, And(0 < 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], [66399/262144,
66399/262144], [-1/4194304, -1/4194304]]]], [[11, 17, 8, 3, 4], [2^(1/2) < v,
And(v < u,u < (v^2+1)^(1/2)), x = 0, And(0 < y,y < -u^2+v^2+1), z = y^(1/2)],
[regular_chain, [[3, 3], [403851/131072, 403851/131072], [0, 0], [66399/262144
, 66399/262144], [32983/65536, 527729/1048576]]]], [[11, 17, 8, 3, 5], [2^(1/2
) < v, And(v < u,u < (v^2+1)^(1/2)), x = 0, And(0 < y,y < -u^2+v^2+1), y^(1/2)
< z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [0, 0], [66399/
262144, 66399/262144], [2, 2]]]], [[1, 4, 7, 2, 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, 6, 3, 1], [v
< -2^(1/2), u = v, x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[-3, -3],
[-3, -3], [1, 1], [1/2, 1/2], [0, 0]]]], [[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 = x, z < 0], [
regular_chain, [[-3, -3], [0, 0], [9, 9], [9, 9], [-1, -1]]]], [[1, 11, 11, 6,
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, 6, 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, 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 = 0, z = z], [regular_chain, [[-3, -3
], [1435023/524288, 1435023/524288], [1581613/2097152, 1581613/2097152], [0, 0
], [0, 0]]]], [[1, 17, 11, 5, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2))
, 1 < x, And(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[-3,
-3], [403851/131072, 403851/131072], [2, 2], [590687/262144, 590687/262144], [
-2, -2]]]], [[1, 17, 11, 5, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)),
1 < x, And(x < y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3
], [403851/131072, 403851/131072], [2, 2], [590687/262144, 590687/262144], [-\
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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [2, 2], [590687/262144, 590687/262144], [-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(x
< y,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [2, 2], [590687/262144, 590687/262144], [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(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [
[-3, -3], [403851/131072, 403851/131072], [2, 2], [590687/262144, 590687/
262144], [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 = u^2-v^2+2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [1, 1], [915943/
262144, 3663773/1048576], [-3, -3]]]], [[1, 19, 10, 8, 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],
[915943/262144, 3663773/1048576], [-1655969/1048576, -3311937/2097152]]]], [[1
, 19, 10, 8, 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], [915943/
262144, 3663773/1048576], [-1/4194304, -1/4194304]]]], [[1, 19, 10, 8, 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], [915943/262144, 3663773/1048576], [51749/32768, 1655969/
1048576]]]], [[1, 19, 10, 8, 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], [915943/262144, 3663773/
1048576], [3, 3]]]], [[2, 3, 9, 9, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2))
, And(u^2-3 < x,x < 1), u^2+x-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [
388511/524288, 388511/524288], [5, 5], [-4, -4]]]], [[2, 3, 9, 9, 2], [v = -2^
(1/2), And(-2 < u,u < -3^(1/2)), And(u^2-3 < x,x < 1), u^2+x-1 < y, z = -(y-x)
^(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, 9, 3], [v = -2^(1/2), And(-2 < u,u <
-3^(1/2)), And(u^2-3 < x,x < 1), u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152
, -3913339/2097152], [388511/524288, 388511/524288], [5, 5], [0, 0]]]], [[2, 3
, 9, 9, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(u^2-3 < x,x < 1), u^2
+x-1 < y, z = (y-x)^(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, 9, 5], [v = -2^(1/2), And(-\
2 < u,u < -3^(1/2)), And(u^2-3 < x,x < 1), u^2+x-1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [388511/524288, 388511/524288], [5, 5], [4, 4]]]], [[2, 5, 9
, 3, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(0 < x,x < 1), And(0 < y,y
< x), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[2, 5, 11, 4,
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, 4, 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, 4, 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, 3, 1], [v =
-2^(1/2), u = -1, x < -2, And(x < y,y < x+2), z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-3, -3], [-2, -\
2], [-2, -2]]]], [[2, 8, 1, 3, 2], [v = -2^(1/2), u = -1, x < -2, And(x < y,y
< x+2), z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1, -1], [-3, -3], [-2, -2], [-1, -1]]]], [[2, 8, 1, 3, 3], [v = -2^(1/2),
u = -1, x < -2, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-3, -3], [-2, -\
2], [0, 0]]]], [[2, 8, 1, 3, 4], [v = -2^(1/2), u = -1, x < -2, And(x < y,y <
x+2), z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
-1, -1], [-3, -3], [-2, -2], [1, 1]]]], [[2, 8, 1, 3, 5], [v = -2^(1/2), u = -\
1, x < -2, And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [-3, -3], [-2, -2], [2, 2]]]], [[2, 13, 6,
2, 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], [-479311/1048576, -239655/524288]
, [-1, -1]]]], [[2, 13, 6, 2, 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], [-479311
/1048576, -239655/524288], [0, 0]]]], [[2, 13, 6, 2, 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], [-479311/1048576, -239655/524288], [1, 1]]]], [[2, 15, 7, 3
, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), And(x < y,
y < 0), z < -(y-x)^(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, 3, 2], [v = -2^(1/2
), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), And(x < y,y < 0), z = -(y-x)
^(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, 3, 3], [v =
-2^(1/2), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), And(x < y,y < 0), And
(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [v
= -2^(1/2), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), And(x < y,y < 0), z
= (y-x)^(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, 3, 5
], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), And(x < y,y <
0), (y-x)^(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, 1, 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], [-7, -7], [0, 0]]]], [[3, 2, 1, 4, 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, 4, 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, 4, 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,
1, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 0, y < 0,
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [0, 0], [-1, -1], [0, 0]]]], [[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 = 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [239655/1048576, 239655/1048576], [0, 0], [0, 0]]]], [[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 = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
3, 3], [0, 0], [-6860721/2097152, -6860721/2097152], [0, 0]]]], [[4, 2, 1, 6,
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, 6, 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, 6, 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, 6, 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, 6, 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,
5, 1], [v = -1, And(-1 < u,u < 0), x = 0, And(u^2 < y,y < -u^2+2), z < -y^(1/2
)], [regular_chain, [[-1, -1], [-1/2, -1/2], [0, 0], [1, 1], [-2, -2]]]], [[4,
7, 8, 5, 2], [v = -1, And(-1 < u,u < 0), x = 0, And(u^2 < y,y < -u^2+2), z = -
y^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [0, 0], [1, 1], [-1, -1]]]]
, [[4, 7, 8, 5, 3], [v = -1, And(-1 < u,u < 0), x = 0, And(u^2 < y,y < -u^2+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, 5, 4], [v = -1, And(-1 < u,u < 0), x = 0, 
And(u^2 < y,y < -u^2+2), z = y^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2]
, [0, 0], [1, 1], [1, 1]]]], [[4, 7, 8, 5, 5], [v = -1, And(-1 < u,u < 0), x =
0, And(u^2 < y,y < -u^2+2), y^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1
/2], [0, 0], [1, 1], [2, 2]]]], [[4, 9, 7, 8, 1], [v = -1, And(0 < u,u < 1), 
And(-u^2 < x,x < 0), y = x-u^2+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, 8, 2], [v
= -1, And(0 < u,u < 1), And(-u^2 < x,x < 0), y = x-u^2+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, 8, 3], [v = -1, And(0 < u,u < 1), And(-
u^2 < x,x < 0), y = x-u^2+2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8], [13/8, 13/8], [0, 0]]]], [
[4, 9, 7, 8, 4], [v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 0), y = x-u^2+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, 8, 5], [v = -1, And(0 <
u,u < 1), And(-u^2 < x,x < 0), y = x-u^2+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, 10, 2, 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, 7, 5, 1], [v = -1, 3^(1/2) < u, And(0 < x,x < 1), And(0
< y,y < x), 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 = 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], [1472733/1048576, 736367/
524288], [-3, -3]]]], [[5, 5, 8, 6, 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], [1472733/1048576, 
736367/524288], [-19417/16384, -1242687/1048576]]]], [[5, 5, 8, 6, 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], [1472733/1048576, 736367/524288],
[0, 0]]]], [[5, 5, 8, 6, 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], [1472733/1048576, 736367/524288]
, [1242687/1048576, 19417/16384]]]], [[5, 5, 8, 6, 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], [
1472733/1048576, 736367/524288], [3, 3]]]], [[5, 7, 9, 7, 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-u^2+v^2+1),
z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1/2], [3/2, 3/
2], [-2, -2]]]], [[5, 7, 9, 7, 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-u^2+v^2+1), z = -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]], [[5
, 7, 9, 7, 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-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[5,
7, 9, 7, 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-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2],
[0, 0], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[5, 7, 9, 7, 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-u^2+v^2+1),
(y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1/2], [3/2, 3/2
], [2, 2]]]], [[5, 7, 11, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 10, 1, 5, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x < -2, And(x+2 <
y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576,
146543/131072], [-3, -3], [-1/2, -1/2], [-3, -3]]]], [[5, 10, 1, 5, 2], [And(-\
1 < v,v < 0), u = (v^2+1)^(1/2), x < -2, And(x+2 < y,y < 0), z = -(y-x)^(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, 5, 3], [And(-1
< v,v < 0), u = (v^2+1)^(1/2), x < -2, And(x+2 < y,y < 0), And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/
131072], [-3, -3], [-1/2, -1/2], [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 < 0), z = (y-x)^(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, 5, 5], [And(-1 < v,
v < 0), u = (v^2+1)^(1/2), x < -2, And(x+2 < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3, -3], [-1/
2, -1/2], [3, 3]]]], [[6, 2, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 11, 2,
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
, 2, 5, 1], [v = 0, u = 1, x = -2, 0 < y, z < -(y+2)^(1/2)], [regular_chain, [
[0, 0], [1, 1], [-2, -2], [1, 1], [-3, -3]]]], [[6, 8, 2, 5, 2], [v = 0, u = 1
, x = -2, 0 < y, z = -(y+2)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-2, -2],
[1, 1], [-1816187/1048576, -3632373/2097152]]]], [[6, 8, 2, 5, 3], [v = 0, u =
1, x = -2, 0 < y, And(-(y+2)^(1/2) < z,z < (y+2)^(1/2))], [regular_chain, [[0,
0], [1, 1], [-2, -2], [1, 1], [-1/4194304, -1/4194304]]]], [[6, 8, 2, 5, 4], [
v = 0, u = 1, x = -2, 0 < y, z = (y+2)^(1/2)], [regular_chain, [[0, 0], [1, 1]
, [-2, -2], [1, 1], [908093/524288, 1816187/1048576]]]], [[6, 8, 2, 5, 5], [v
= 0, u = 1, x = -2, 0 < y, (y+2)^(1/2) < z], [regular_chain, [[0, 0], [1, 1],
[-2, -2], [1, 1], [3, 3]]]], [[6, 10, 1, 6, 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, 6, 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, 6, 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, 6, 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,
6, 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, 3,
11, 9, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 <
x, u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [2, 2], [6, 6], [-3, -3]]]], [[7, 3, 11, 9, 2], [And(
0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 <
y, z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [2, 2], [6, 6], [-2, -2]]]], [[7, 3, 11, 9, 3], [And(0 < v,v < 1), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, And(-(y-x)
^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-343151/262144, -\
343151/262144], [2, 2], [6, 6], [0, 0]]]], [[7, 3, 11, 9, 4], [And(0 < v,v < 1
), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, z = (y-
x)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [2,
2], [6, 6], [2, 2]]]], [[7, 3, 11, 9, 5], [And(0 < v,v < 1), And(-(v^2+2)^(1/2
) < u,u < -(v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [2, 2], [6, 6],
[3, 3]]]], [[7, 5, 11, 3, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v
), 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [2, 2], [1, 1], [0, 0]]]], [[8, 1, 1, 2, 1], [v =
1, u < -3^(1/2), x < -u^2, y = x-u^2+2, z = z], [regular_chain, [[1, 1], [-3,
-3], [-10, -10], [-17, -17], [0, 0]]]], [[8, 2, 7, 1, 1], [v = 1, u = -3^(1/2)
, And(0 < x,x < 1), y < x-1, z = z], [regular_chain, [[1, 1], [-1816187/
1048576, -3632373/2097152], [1/2, 1/2], [-2, -2], [0, 0]]]], [[8, 8, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 2, 1, 1], [v = 1, u = 1, x = -1, y < -1, z = z], [
regular_chain, [[1, 1], [1, 1], [-1, -1], [-2, -2], [0, 0]]]], [[8, 14, 4, 8,
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,
8, 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, 8, 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, 8
, 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, 8, 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, 7, 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 < 0), z < -(y-x)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-3, -3], [-10, -10], [-763943/1048576, -\
763943/1048576], [-5, -5]]]], [[9, 1, 1, 7, 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 < 0), z = -(y-x)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10, -10], [-\
763943/1048576, -763943/1048576], [-3192815/1048576, -1596407/524288]]]], [[9,
1, 1, 7, 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 < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10, -10], [-763943/1048576,
-763943/1048576], [0, 0]]]], [[9, 1, 1, 7, 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 < 0), z = (y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10, -10], [-\
763943/1048576, -763943/1048576], [1596407/524288, 3192815/1048576]]]], [[9, 1
, 1, 7, 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 < 0), (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [-10, -10], [-763943/1048576, -763943/1048576], [5
, 5]]]], [[9, 6, 3, 7, 1], [And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x < 0),
x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [2, 2], [-3, -3]]]], [[
9, 6, 3, 7, 2], [And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x < 0), x+1 < y, z
= -(y-x)^(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, 7, 3], [And(1 < v,v < 2^(1/2)), u = -v, And(-1 <
x,x < 0), x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/2
, -1/2], [2, 2], [0, 0]]]], [[9, 6, 3, 7, 4], [And(1 < v,v < 2^(1/2)), u = -v,
And(-1 < x,x < 0), x+1 < y, z = (y-x)^(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, 7, 5], [And(1 < v,v <
2^(1/2)), u = -v, And(-1 < x,x < 0), x+1 < y, (y-x)^(1/2) < z], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [
-1/2, -1/2], [2, 2], [3, 3]]]], [[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 < 0, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [1, 1], [-1, -1], [0, 0]]]], [[9, 10, 6, 3, 1], [And(1 < v,v < 2^(1/
2)), u = (v^2-1)^(1/2), x = 0, And(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2),
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-1 < y,y < x), z
= z], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 
1949649/1048576], [-2, -2], [-5/2, -5/2], [0, 0]]]], [[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 = 0, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [8, 8], [0, 0], [0
, 0]]]], [[10, 4, 8, 2, 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, 6, 6, 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, 6,
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, 6, 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, 6, 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,
6, 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, 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(0 < y,y < x), z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [
1, 1], [0, 0]]]], [[11, 2, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [-4, -4], [0, 0], [-3, -3]]]], [[11, 10, 1, 8, 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, 8, 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, 8, 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, 8, 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, 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(x < y,y <
x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [0, 0], [9/2, 9/2],
[19/2, 19/2], [-4, -4]]]], [[11, 11, 9, 7, 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(x < y,y < x-u^2+v^2+1
), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [0, 0], [9/2, 9/2], [19/2, 19/2
], [-146543/65536, -2344687/1048576]]]], [[11, 11, 9, 7, 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(x < y,y
< x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3
], [0, 0], [9/2, 9/2], [19/2, 19/2], [0, 0]]]], [[11, 11, 9, 7, 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(x
< y,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [0, 0], [9/2,
9/2], [19/2, 19/2], [2344687/1048576, 146543/65536]]]], [[11, 11, 9, 7, 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(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [0,
0], [9/2, 9/2], [19/2, 19/2], [4, 4]]]], [[11, 15, 9, 2, 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, 9, 6, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1),
y = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [1/2, 1/2], [131935/131072, 1055481/1048576], [-2, -2]
]]], [[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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [1/2, 1/2], [131935/131072, 1055481/1048576], [
-373161/524288, -1492643/2097152]]]], [[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-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], [1/2, 1/2], [131935/131072, 1055481/1048576], [-1/4194304, -1/
4194304]]]], [[11, 17, 9, 6, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 
And(0 < x,x < 1), y = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[
3, 3], [403851/131072, 403851/131072], [1/2, 1/2], [131935/131072, 1055481/
1048576], [746321/1048576, 373161/524288]]]], [[11, 17, 9, 6, 5], [2^(1/2) < v
, And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = x-u^2+v^2+1, (-u^2+v^2+1
)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [1/2, 1
/2], [131935/131072, 1055481/1048576], [2, 2]]]], [[1, 1, 1, 9, 1], [v < -2^(1
/2), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, 0 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-5, -5], [-18, -18], [1, 1], [-6, -6]]]], [[1, 1, 1
, 9, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, 0 < y, z = -(y-x)^
(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-18, -18], [1, 1], [-4570637/
1048576, -1142659/262144]]]], [[1, 1, 1, 9, 3], [v < -2^(1/2), u < -(v^2+2)^(1
/2), x < -u^2+v^2-1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-3, -3], [-5, -5], [-18, -18], [1, 1], [0, 0]]]], [[1, 1, 1,
9, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, 0 < y, z = (y-x)^(1/
2)], [regular_chain, [[-3, -3], [-5, -5], [-18, -18], [1, 1], [1142659/262144,
4570637/1048576]]]], [[1, 1, 1, 9, 5], [v < -2^(1/2), u < -(v^2+2)^(1/2), x <
-u^2+v^2-1, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5], [-18
, -18], [1, 1], [6, 6]]]], [[1, 2, 8, 3, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2)
, x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[-3, -3], [-1738867/524288
, -3477733/1048576], [1, 1], [1/2, 1/2], [0, 0]]]], [[1, 8, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6,
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, 10, 3, 3, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-3 <
x,x < -1), And(x-1 < y,y < x), z = z], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [-2, -2], [-5/2, -5/2], [0, 0]]]], [[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(0 < y,
y < u^2-v^2+x+1), z = z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [2, 2], [1564115/2097152, 1564115/2097152], [0, 0]]]], [[1, 15, 10, 6
, 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], [1565147/1048576, 391287/262144], [-2, -2]]]], [[1, 15, 10,
6, 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], [1565147/1048576, 391287/262144], [-735979/1048576, -1471957
/2097152]]]], [[1, 15, 10, 6, 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], [1565147
/1048576, 391287/262144], [-1/4194304, -1/4194304]]]], [[1, 15, 10, 6, 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], [1565147/1048576, 391287/262144], [367989/524288, 735979/1048576]]]], [[1,
15, 10, 6, 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], [1565147/1048576, 391287/262144], [2, 2]]]], [[1, 21
, 6, 1, 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], [-16, -16], [0, 0]]]], [[2, 2, 1, 4,
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
, 4, 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, 4, 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, 6, 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, 6, 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, 6, 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, 9, 2, 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, 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-1 < y, z < -(y-x)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [3, 3], [-9/2, -9/2], [5, 5], [-5, -5]]]]
, [[2, 19, 3, 9, 2], [v = -2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), u^2+x-1 < y
, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3,
3], [-9/2, -9/2], [5, 5], [-3231929/1048576, -403991/131072]]]], [[2, 19, 3, 9
, 3], [v = -2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), u^2+x-1 < y, And(-(y-x)^(1
/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288]
, [3, 3], [-9/2, -9/2], [5, 5], [0, 0]]]], [[2, 19, 3, 9, 4], [v = -2^(1/2), 2
< u, And(-u^2+1 < x,x < -1), u^2+x-1 < y, z = (y-x)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [3, 3], [-9/2, -9/2], [5, 5], [403991/
131072, 3231929/1048576]]]], [[2, 19, 3, 9, 5], [v = -2^(1/2), 2 < u, And(-u^2
+1 < x,x < -1), u^2+x-1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [-9/2, -9/2], [5, 5], [5, 5]]]], [[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), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608],
[775271/1048576, 775271/1048576], [5, 5], [-4, -4]]]], [[3, 3, 9, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [775271/1048576, 775271/1048576], [5, 5], [0, 0]]
]], [[3, 3, 9, 9, 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), u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, (y-
x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [775271/1048576, 775271/1048576], [5, 5]
, [4, 4]]]], [[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(0 < y,y < x), z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [1/2
, 1/2], [1/4, 1/4], [0, 0]]]], [[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 < -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], [
1196409/2097152, 1196409/2097152], [-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 < -\
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], [1196409/2097152, 1196409/2097152], [-274877880697/274877906944, -\
8796092182303/8796093022208]]]], [[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 < -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], [1196409/2097152, 1196409/2097152], [-7548703/
17592186044416, -7548703/17592186044416]]]], [[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 < -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], [1196409/2097152, 1196409/2097152], [1048575/1048576, 1]]]], [[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 < -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], [1196409/2097152, 1196409/2097152], [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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-139585/524288, -139585/524288], [139585/524288, 279171/
1048576], [-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 = x-u^2+v^2+1, z = -(-u^2+v^
2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-139585/524288, -139585/524288], [139585/524288, 
279171/1048576], [-765155/1048576, -1530309/2097152]]]], [[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 = x-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], [-139585/524288, -139585/524288], [139585/524288, 279171/
1048576], [-1/4194304, -1/4194304]]]], [[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 = x-u^2+v^2+
1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-139585/524288, -139585/524288]
, [139585/524288, 279171/1048576], [382577/524288, 765155/1048576]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
139585/524288, -139585/524288], [139585/524288, 279171/1048576], [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 = 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], [2063099/1048576, 515775/262144], [-3, -3]]]], [[3, 13, 9, 8, 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], [2063099/1048576, 
515775/262144], [-1270261/1048576, -317565/262144]]]], [[3, 13, 9, 8, 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], [2063099/1048576, 515775/262144], [0, 0]]]], [[3, 13, 9, 8, 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], [2063099/1048576, 
515775/262144], [317565/262144, 1270261/1048576]]]], [[3, 13, 9, 8, 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], [2063099/1048576, 
515775/262144], [3, 3]]]], [[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 = 0, z = z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [775271/1048576, 775271/1048576], [0, 0], [0, 0]]]], [[4, 3, 8, 3, 1]
, [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2, And(0 < y,y < u^2-2), z
= z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [248903
/524288, 497807/1048576], [248903/1048576, 248903/1048576], [0, 0]]]], [[4, 5,
7, 6, 1], [v = -1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y = x-u^2+2
, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743
/1048576], [-569265/2097152, -569265/2097152], [35579/131072, 284633/1048576],
[-2, -2]]]], [[4, 5, 7, 6, 2], [v = -1, And(-2^(1/2) < u,u < -1), And(u^2-2 <
x,x < 0), y = x-u^2+2, z = -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/2097152], [35579
/131072, 284633/1048576], [-772605/1048576, -1545209/2097152]]]], [[4, 5, 7, 6
, 3], [v = -1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y = x-u^2+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], [35579
/131072, 284633/1048576], [-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 = x-u^2+2, z = (-u^2+2)^
(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-\
569265/2097152, -569265/2097152], [35579/131072, 284633/1048576], [193151/
262144, 772605/1048576]]]], [[4, 5, 7, 6, 5], [v = -1, And(-2^(1/2) < u,u < -1
), And(u^2-2 < x,x < 0), y = x-u^2+2, (-u^2+2)^(1/2) < z], [regular_chain, [[-\
1, -1], [-1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/
2097152], [35579/131072, 284633/1048576], [2, 2]]]], [[4, 9, 9, 9, 1], [v = -1
, And(0 < u,u < 1), And(0 < x,x < 1), x-u^2+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [1/2, 1/2], [4, 4], [-3, -3]]]], [[4, 9,
9, 9, 2], [v = -1, And(0 < u,u < 1), And(0 < x,x < 1), x-u^2+2 < y, z = -(y-x)
^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [1/2, 1/2], [4, 4], [-7846825/
4194304, -980853/524288]]]], [[4, 9, 9, 9, 3], [v = -1, And(0 < u,u < 1), And(
0 < x,x < 1), x-u^2+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1, -1], [1/2, 1/2], [1/2, 1/2], [4, 4], [0, 0]]]], [[4, 9, 9
, 9, 4], [v = -1, And(0 < u,u < 1), And(0 < x,x < 1), x-u^2+2 < y, z = (y-x)^(
1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [1/2, 1/2], [4, 4], [980853/
524288, 1961707/1048576]]]], [[4, 9, 9, 9, 5], [v = -1, And(0 < u,u < 1), And(
0 < x,x < 1), x-u^2+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [1/2,
1/2], [1/2, 1/2], [4, 4], [3, 3]]]], [[4, 11, 10, 8, 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], [1288231/524288, 2576463/1048576], [-3, -3]
]]], [[4, 11, 10, 8, 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],
[1288231/524288, 2576463/1048576], [-1265743/1048576, -1265743/1048576]]]], [[
4, 11, 10, 8, 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], [1288231/524288, 2576463/1048576], [0, 0]]]], [[4, 11, 10, 8, 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], [1288231/524288, 2576463/1048576],
[1265743/1048576, 1265743/1048576]]]], [[4, 11, 10, 8, 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], [1288231/524288, 2576463/1048576], [3, 3]]]
], [[5, 1, 11, 9, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, u
^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [9
, 9], [20, 20], [-5, -5]]]], [[5, 1, 11, 9, 2], [And(-1 < v,v < 0), u < -(v^2+
2)^(1/2), u^2-v^2-1 < x, u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [
[-1/2, -1/2], [-3, -3], [9, 9], [20, 20], [-1738867/524288, -3477733/1048576]]
]], [[5, 1, 11, 9, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), u^2-v^2-1 < x,
u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/
2, -1/2], [-3, -3], [9, 9], [20, 20], [0, 0]]]], [[5, 1, 11, 9, 4], [And(-1 <
v,v < 0), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, u^2-v^2+x+1 < y, z = (y-x)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [-3, -3], [9, 9], [20, 20], [3477733/1048576,
1738867/524288]]]], [[5, 1, 11, 9, 5], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2),
u^2-v^2-1 < x, u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2
], [-3, -3], [9, 9], [20, 20], [5, 5]]]], [[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-
u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[-1/2, -1/2], [-343151/262144,
-343151/262144], [1534619/2097152, 1534619/2097152], [1048577/2097152, 1048577
/2097152], [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 = 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], [2340173
/524288, 4680347/1048576], [-3, -3]]]], [[5, 11, 11, 8, 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], [2340173/524288, 4680347/1048576], [-3291611/2097152, -1645805/1048576
]]]], [[5, 11, 11, 8, 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],
[2340173/524288, 4680347/1048576], [0, 0]]]], [[5, 11, 11, 8, 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], [2340173/524288, 4680347/1048576], [1645805/1048576, 822903/
524288]]]], [[5, 11, 11, 8, 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], [2340173/524288, 
4680347/1048576], [3, 3]]]], [[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 = x-u^2+v^2+1, z = z], [regular_chain, [[
-1/2, -1/2], [3, 3], [35/8, 35/8], [-27/8, -27/8], [0, 0]]]], [[6, 5, 10, 5, 1
], [v = 0, And(-1 < u,u < 0), x = 1, And(1 < y,y < -u^2+2), 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(1 < y,y < -u^2+2), 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(1 < 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], [11/8, 11/8], [0, 0]]]], [[6, 5,
10, 5, 4], [v = 0, And(-1 < u,u < 0), x = 1, And(1 < y,y < -u^2+2), 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(1 < y,y < -u^2+2), (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 = x, z < 0], [regular_chain, [[0, 0], [1/2, 1/2], [2, 2], [2, 2],
[-1, -1]]]], [[6, 7, 11, 4, 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,
4, 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, 9, 9, 1], [v = 0, 2^(1/2) <
u, And(1 < x,x < u^2-1), u^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[0,
0], [3, 3], [9/2, 9/2], [16, 16], [-5, -5]]]], [[6, 11, 9, 9, 2], [v = 0, 2^(1
/2) < u, And(1 < x,x < u^2-1), u^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain,
[[0, 0], [3, 3], [9/2, 9/2], [16, 16], [-3555895/1048576, -1777947/524288]]]],
[[6, 11, 9, 9, 3], [v = 0, 2^(1/2) < u, And(1 < x,x < u^2-1), u^2+x+1 < y, And
(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [3, 3], [9/2, 9/
2], [16, 16], [0, 0]]]], [[6, 11, 9, 9, 4], [v = 0, 2^(1/2) < u, And(1 < x,x <
u^2-1), u^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[0, 0], [3, 3], [9/2,
9/2], [16, 16], [1777947/524288, 3555895/1048576]]]], [[6, 11, 9, 9, 5], [v =
0, 2^(1/2) < u, And(1 < x,x < u^2-1), u^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[0, 0], [3, 3], [9/2, 9/2], [16, 16], [5, 5]]]], [[7, 2, 5, 3,
1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(x-1 < y,y <
x), z = z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1/2, -1/2], [-1, -1],
[0, 0]]]], [[7, 8, 1, 2, 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, 2, 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, 2, 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, 2, 3, 1], [And(0 < v,v < 1), u
= (v^2+1)^(1/2), x = -2, And(-2 < y,y < 0), z < -(y+2)^(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(-2 < y,
y < 0), z = -(y+2)^(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(-2 < y,y < 0), And(-(y+2)^(1/2) < z,z
< (y+2)^(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(-2 < y,y < 0), z = (y+2)^(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(-2 < y,y < 0),
(y+2)^(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 = x, z < 0], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-2, -2], [-2, -2],
[-1, -1]]]], [[7, 12, 3, 4, 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, 4, 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, 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 = 0, z < -(-x)^(1/2)], [regular_chain, [[1, 1
], [-1, -1], [-2, -2], [0, 0], [-3, -3]]]], [[8, 6, 1, 6, 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, 6, 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, 6, 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, 6, 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, 5, 7, 1], [v = 1, u = 1, And(0 < x,x < 1), x+1 < y, z <
-(y-x)^(1/2)], [regular_chain, [[1, 1], [1, 1], [1/2, 1/2], [3, 3], [-3, -3]]]
], [[8, 10, 5, 7, 2], [v = 1, u = 1, And(0 < x,x < 1), x+1 < y, z = -(y-x)^(1/
2)], [regular_chain, [[1, 1], [1, 1], [1/2, 1/2], [3, 3], [-3315889/2097152, -\
207243/131072]]]], [[8, 10, 5, 7, 3], [v = 1, u = 1, And(0 < x,x < 1), x+1 < y
, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [1, 1], [1/
2, 1/2], [3, 3], [0, 0]]]], [[8, 10, 5, 7, 4], [v = 1, u = 1, And(0 < x,x < 1)
, x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [1, 1], [1/2, 1/2], [3,
3], [207243/131072, 1657945/1048576]]]], [[8, 10, 5, 7, 5], [v = 1, u = 1, And
(0 < x,x < 1), x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [1, 1], [1/
2, 1/2], [3, 3], [3, 3]]]], [[8, 12, 6, 2, 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, 2, 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, 2, 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, 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 < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
410915/262144, -3287319/2097152], [-1, -1], [-1, -1], [-1, -1]]]], [[9, 4, 4,
2, 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, 2, 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, 6, 3, 1], [And(1 < v,v < 2^(1/2)), u = v, x = 1, And(
0 < y,y < 1), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1265743/1048576, 1265743/1048576], [1, 1], [1/2, 1/2], [0, 0]]]], [[9, 14, 6,
5, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = 0, 2 < y, z < -y^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 
410915/262144], [0, 0], [3, 3], [-3, -3]]]], [[9, 14, 6, 5, 2], [And(1 < v,v <
2^(1/2)), u = (v^2+1)^(1/2), x = 0, 2 < y, 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, 5, 3], [And(1 < v,
v < 2^(1/2)), u = (v^2+1)^(1/2), x = 0, 2 < y, 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, 5, 4], [And(
1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = 0, 2 < y, 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, 5, 5
], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = 0, 2 < y, y^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [0, 0], [3, 3], [3, 3]]]], [[10, 2, 6, 7, 1], [v = 2^(1/2), u = -2, x
= 0, 3 < y, z < -y^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-2, -2], [0, 0], [4, 4], [-3, -3]]]], [[10, 2, 6, 7, 2], [v = 2^(1/2), u = -2
, x = 0, 3 < y, z = -y^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [0, 0], [4, 4], [-2, -2]]]], [[10, 2, 6, 7, 3], [v = 2^(1/
2), u = -2, x = 0, 3 < y, 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, 7, 4], [v = 2^(1/2), u = -2, x = 0, 3 < y, z = y^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-2, -2], [0, 0], [4, 4], [2, 2]]]], [[10, 2,
6, 7, 5], [v = 2^(1/2), u = -2, x = 0, 3 < y, y^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-2, -2], [0, 0], [4, 4], [3, 3]]]], [[10, 4,
4, 5, 1], [v = 2^(1/2), u = -3^(1/2), x = -1, And(0 < y,y < 1), z < -(y+1)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [1/2, 1/2], [-3, -3]]]], [[10, 4, 4, 5, 2], [v = 2
^(1/2), u = -3^(1/2), x = -1, And(0 < y,y < 1), z = -(y+1)^(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, 5, 3], [v = 2^(1/2), u = -3^(1/2), x = -1, And(0 < 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], [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 = (y+1)^(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, 5, 5], [v = 2^(1/2), u = -3^(1/2), x = -1, And(0 < y,y < 1), (y+1)^
(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/
1048576, -3632373/2097152], [-1, -1], [1/2, 1/2], [3, 3]]]], [[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(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(
y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = 0, z < -(-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-3, -3], [0, 0], [-3, -3]]]], [[10, 16, 1, 6, 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, 6, 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, 6, 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, 6, 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, 5,
1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, And(x-u^2+3 < y,y < x), 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-1, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-2, -2], [-3, -3],
[0, 0]]]], [[10, 19, 11, 1, 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], [-1, -1], [
0, 0]]]], [[11, 6, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 8, 2, 3, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -2, And(-2 < y,y <
0), z < -(y+2)^(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(-2 < y,y < 0), z = -(y+2)^(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(-2 < y,y
< 0), And(-(y+2)^(1/2) < z,z < (y+2)^(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(-2 < y,y < 0), z = (y+2
)^(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(-2 < y,y < 0), (y+2)^(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(x-1 < y,y < x), z = z],
[regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-4, -4], [-9/2, -9/2]
, [0, 0]]]], [[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 = u^2-v^2+x+1, z = z], [regular_chain,
[[3, 3], [1435023/524288, 1435023/524288], [1581613/2097152, 1581613/2097152],
[128885/524288, 257771/1048576], [0, 0]]]], [[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(0 < y,
y < x), 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 = -1, z < 0], [
regular_chain, [[3, 3], [5, 5], [-1, -1], [-1, -1], [-1, -1]]]], [[11, 21, 4,
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, 4, 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, 7, 1, 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], [-1, -1], [0, 0]]]], [[1, 6, 6, 2, 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, 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(x < y,y < x-u^2+v^2+1), z < -
(y-x)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [9, 9], [14, 14], [-4, -4]]]]
, [[1, 11, 11, 7, 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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [0, 0], [9, 9], [14, 14], [-146543/65536, -2344687/
1048576]]]], [[1, 11, 11, 7, 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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,
z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [0, 0], [9, 9], [14, 14], [0, 0]
]]], [[1, 11, 11, 7, 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(x < y,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [0, 0], [9, 9], [14, 14], [2344687/1048576, 146543/
65536]]]], [[1, 11, 11, 7, 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(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [0, 0], [9, 9], [14, 14], [4, 4]]]], [[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(0 < y,y < u^2-v^2+x+1), z = z], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [1581613/2097152, 1581613/2097152], [128885/
1048576, 128885/1048576], [0, 0]]]], [[1, 17, 11, 4, 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, 4, 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, 4, 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, 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+2), z < -(y-1)^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [1, 1], [1178087
/524288, 1178087/524288], [-3, -3]]]], [[1, 19, 10, 7, 2], [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 = -(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, 7, 3], [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), 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, 7, 4], [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 = (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, 7, 5], [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), (y-1)^(1/2) < z], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [1, 1], [1178087/524288, 1178087/524288], [
3, 3]]]], [[2, 3, 10, 1, 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], [-1, -1], [0, 0]]]], [[2, 5, 9, 4, 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, 4, 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, 4, 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, 3, 1], [v = -
2^(1/2), And(-3^(1/2) < u,u < v), 1 < x, And(0 < y,y < x), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [2, 2], [1, 1], [0, 0]]]], [[2, 8, 1, 2, 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, 2, 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, 2, 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, 3, 1], [
v = -2^(1/2), And(1 < u,u < -v), x = -u^2+1, And(-u^2+1 < y,y < 0), 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, 3, 2], [v = -2^(1/2), And(1 < u,u
< -v), x = -u^2+1, And(-u^2+1 < y,y < 0), 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, 3, 3], [v = -2^(1/2), And(1
< u,u < -v), x = -u^2+1, And(-u^2+1 < 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], [-239655
/1048576, -239655/1048576], [0, 0]]]], [[2, 13, 6, 3, 4], [v = -2^(1/2), And(1
< u,u < -v), x = -u^2+1, And(-u^2+1 < y,y < 0), 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, 3, 5], [v = -2^(1/2), And(1 <
u,u < -v), x = -u^2+1, And(-u^2+1 < y,y < 0), (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, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 5, 9, 1], [v = -2^(1/2), 2 < u
, And(-1 < x,x < 0), u^2+x-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [-1/2, -1/2], [9, 9], [-5, -5]]]], [
[2, 19, 5, 9, 2], [v = -2^(1/2), 2 < u, And(-1 < x,x < 0), u^2+x-1 < y, z = -(
y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1/
2, -1/2], [9, 9], [-3231929/1048576, -403991/131072]]]], [[2, 19, 5, 9, 3], [v
= -2^(1/2), 2 < u, And(-1 < x,x < 0), u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y
-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1/
2, -1/2], [9, 9], [0, 0]]]], [[2, 19, 5, 9, 4], [v = -2^(1/2), 2 < u, And(-1 <
x,x < 0), u^2+x-1 < y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [-1/2, -1/2], [9, 9], [403991/131072, 3231929/1048576]
]]], [[2, 19, 5, 9, 5], [v = -2^(1/2), 2 < u, And(-1 < x,x < 0), u^2+x-1 < y,
(y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3],
[-1/2, -1/2], [9, 9], [5, 5]]]], [[3, 2, 1, 3, 1], [And(-2^(1/2) < v,v < -1),
u = -(v^2+2)^(1/2), x < -3, And(x-1 < y,y < x), z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-4,
-4], [-9/2, -9/2], [0, 0]]]], [[3, 7, 8, 2, 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, 2, 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, 2, 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,
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(0 < y,y < x), 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+3 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-\
1816187/1048576, -3632373/2097152], [-4, -4], [-1/2, -1/2], [-3, -3]]]], [[4,
2, 1, 7, 2], [v = -1, u = -3^(1/2), x < -3, And(x+3 < y,y < 0), z = -(y-x)^(1/
2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-4, -4]
, [-1/2, -1/2], [-7846825/4194304, -980853/524288]]]], [[4, 2, 1, 7, 3], [v =
-1, u = -3^(1/2), x < -3, And(x+3 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-4,
-4], [-1/2, -1/2], [0, 0]]]], [[4, 2, 1, 7, 4], [v = -1, u = -3^(1/2), x < -3,
And(x+3 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [-1816187/
1048576, -3632373/2097152], [-4, -4], [-1/2, -1/2], [980853/524288, 1961707/
1048576]]]], [[4, 2, 1, 7, 5], [v = -1, u = -3^(1/2), x < -3, And(x+3 < y,y <
0), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/
2097152], [-4, -4], [-1/2, -1/2], [3, 3]]]], [[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(u^2+x < y,
y < x-u^2+2), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/8,
-1/8], [7/8, 7/8], [-2, -2]]]], [[4, 9, 7, 7, 2], [v = -1, And(0 < u,u < 1), 
And(-u^2 < x,x < 0), And(u^2+x < y,y < x-u^2+2), z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8], [7/8, 7/8], [-1, -1]]]], [
[4, 9, 7, 7, 3], [v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 0), And(u^2+x < y
,y < x-u^2+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -\
1], [1/2, 1/2], [-1/8, -1/8], [7/8, 7/8], [0, 0]]]], [[4, 9, 7, 7, 4], [v = -1
, And(0 < u,u < 1), And(-u^2 < x,x < 0), And(u^2+x < y,y < x-u^2+2), z = (y-x)
^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8], [7/8, 7/8], [1,
1]]]], [[4, 9, 7, 7, 5], [v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 0), And(u
^2+x < y,y < x-u^2+2), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2]
, [-1/8, -1/8], [7/8, 7/8], [2, 2]]]], [[4, 13, 10, 3, 1], [v = -1, And(2^(1/2
) < u,u < 3^(1/2)), x = 1, And(0 < y,y < -u^2+3), z = z], [regular_chain, [[-1
, -1], [3299097/2097152, 3299097/2097152], [1, 1], [275385/1048576, 275385/
1048576], [0, 0]]]], [[4, 15, 7, 6, 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, 6, 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, 6, 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
, 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 < 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, 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 < 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, 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
< 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, 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 < 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, 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 < 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, 9, 6, 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, 6, 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,
6, 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,
6, 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, 6, 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, 7, 1], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, And(u^2-v
^2+x+1 < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2],
[0, 0], [2, 2], [3, 3], [-2, -2]]]], [[5, 7, 11, 7, 2], [And(-1 < v,v < 0), 
And(v < u,u < -v), 1 < x, And(u^2-v^2+x+1 < y,y < x-u^2+v^2+1), z = -(y-x)^(1/
2)], [regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [3, 3], [-1, -1]]]], [[5,
7, 11, 7, 3], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, And(u^2-v^2+x+1 <
y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
-1/2, -1/2], [0, 0], [2, 2], [3, 3], [0, 0]]]], [[5, 7, 11, 7, 4], [And(-1 < v
,v < 0), And(v < u,u < -v), 1 < x, And(u^2-v^2+x+1 < y,y < x-u^2+v^2+1), z = (
y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [3, 3], [1, 1]]]],
[[5, 7, 11, 7, 5], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, And(u^2-v^2+x
+1 < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0,
0], [2, 2], [3, 3], [2, 2]]]], [[5, 10, 1, 6, 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, 6,
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, 6, 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, 6, 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, 6, 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, 2, 5, 1], [v = 0, u = -2^
(1/2), x = -3, And(-3 < y,y < 0), z < -(y+3)^(1/2)], [regular_chain, [[0, 0],
[-1482911/1048576, -741455/524288], [-3, -3], [-3/2, -3/2], [-3, -3]]]], [[6,
2, 2, 5, 2], [v = 0, u = -2^(1/2), x = -3, And(-3 < y,y < 0), z = -(y+3)^(1/2)
], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-3, -3], [-3/
2, -3/2], [-1284239/1048576, -642119/524288]]]], [[6, 2, 2, 5, 3], [v = 0, u =
-2^(1/2), x = -3, And(-3 < y,y < 0), And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-3, -3], [-3/2, -\
3/2], [0, 0]]]], [[6, 2, 2, 5, 4], [v = 0, u = -2^(1/2), x = -3, And(-3 < y,y
< 0), z = (y+3)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/
524288], [-3, -3], [-3/2, -3/2], [642119/524288, 1284239/1048576]]]], [[6, 2,
2, 5, 5], [v = 0, u = -2^(1/2), x = -3, And(-3 < y,y < 0), (y+3)^(1/2) < z], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-3, -3], [-3/2, -\
3/2], [3, 3]]]], [[6, 3, 11, 1, 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], [-1, -1], [0, 0]]]], [[6, 8, 3, 1, 1], [v = 0, u = 1, And(-2 < x,x < -1)
, y < x, z = z], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [-3, -3], [0,
0]]]], [[6, 10, 1, 7, 1], [v = 0, u = 2^(1/2), x < -3, And(x+3 < y,y < 0), z <
-(y-x)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-4,
-4], [-1/2, -1/2], [-3, -3]]]], [[6, 10, 1, 7, 2], [v = 0, u = 2^(1/2), x < -3
, And(x+3 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [741455/
524288, 1482911/1048576], [-4, -4], [-1/2, -1/2], [-7846825/4194304, -980853/
524288]]]], [[6, 10, 1, 7, 3], [v = 0, u = 2^(1/2), x < -3, And(x+3 < y,y < 0)
, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [741455/
524288, 1482911/1048576], [-4, -4], [-1/2, -1/2], [0, 0]]]], [[6, 10, 1, 7, 4]
, [v = 0, u = 2^(1/2), x < -3, And(x+3 < y,y < 0), z = (y-x)^(1/2)], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-4, -4], [-1/2, -1/
2], [980853/524288, 1961707/1048576]]]], [[6, 10, 1, 7, 5], [v = 0, u = 2^(1/2
), x < -3, And(x+3 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[0, 0], [
741455/524288, 1482911/1048576], [-4, -4], [-1/2, -1/2], [3, 3]]]], [[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 = 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], [2340173/524288, 4680347/1048576], [-3
, -3]]]], [[7, 3, 11, 8, 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], [2340173/524288, 
4680347/1048576], [-3291611/2097152, -1645805/1048576]]]], [[7, 3, 11, 8, 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], [2340173/524288, 4680347
/1048576], [0, 0]]]], [[7, 3, 11, 8, 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], [2340173
/524288, 4680347/1048576], [1645805/1048576, 822903/524288]]]], [[7, 3, 11, 8,
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], [2340173/524288, 4680347/1048576], [3, 3]]]],
[[7, 5, 11, 2, 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]]]], [[8, 1, 1, 1, 1], [v = 1, u < -3^(1/2), x < -u^2,
y < x-u^2+2, z = z], [regular_chain, [[1, 1], [-3, -3], [-10, -10], [-18, -18]
, [0, 0]]]], [[8, 2, 6, 7, 1], [v = 1, u = -3^(1/2), x = 0, 3 < y, z < -y^(1/2
)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [0, 0], [4,
4], [-3, -3]]]], [[8, 2, 6, 7, 2], [v = 1, u = -3^(1/2), x = 0, 3 < y, z = -y^
(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [0, 0],
[4, 4], [-2, -2]]]], [[8, 2, 6, 7, 3], [v = 1, u = -3^(1/2), x = 0, 3 < y, 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, 7, 4], [v = 1, u = -3^
(1/2), x = 0, 3 < y, z = y^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576,
-3632373/2097152], [0, 0], [4, 4], [2, 2]]]], [[8, 2, 6, 7, 5], [v = 1, u = -3
^(1/2), x = 0, 3 < y, y^(1/2) < z], [regular_chain, [[1, 1], [-1816187/1048576
, -3632373/2097152], [0, 0], [4, 4], [3, 3]]]], [[8, 8, 3, 7, 1], [v = 1, u =
0, And(-2 < x,x < -1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [0
, 0], [-3/2, -3/2], [2, 2], [-3, -3]]]], [[8, 8, 3, 7, 2], [v = 1, u = 0, And(
-2 < x,x < -1), x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [0, 0], [
-3/2, -3/2], [2, 2], [-7846825/4194304, -980853/524288]]]], [[8, 8, 3, 7, 3],
[v = 1, u = 0, And(-2 < x,x < -1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/
2))], [regular_chain, [[1, 1], [0, 0], [-3/2, -3/2], [2, 2], [0, 0]]]], [[8, 8
, 3, 7, 4], [v = 1, u = 0, And(-2 < x,x < -1), x+2 < y, z = (y-x)^(1/2)], [
regular_chain, [[1, 1], [0, 0], [-3/2, -3/2], [2, 2], [980853/524288, 1961707/
1048576]]]], [[8, 8, 3, 7, 5], [v = 1, u = 0, And(-2 < x,x < -1), x+2 < y, (y-
x)^(1/2) < z], [regular_chain, [[1, 1], [0, 0], [-3/2, -3/2], [2, 2], [3, 3]]]
], [[8, 10, 2, 2, 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, 2, 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, 2, 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, 7,
1], [v = 1, u = 3^(1/2), x = -1, And(0 < y,y < 2), z < -(y+1)^(1/2)], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1, -1], [1, 1], [-\
3, -3]]]], [[8, 14, 4, 7, 2], [v = 1, u = 3^(1/2), x = -1, And(0 < y,y < 2), z
= -(y+1)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-\
1, -1], [1, 1], [-1482911/1048576, -741455/524288]]]], [[8, 14, 4, 7, 3], [v =
1, u = 3^(1/2), x = -1, And(0 < y,y < 2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2)
)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1, -1], [1, 1
], [0, 0]]]], [[8, 14, 4, 7, 4], [v = 1, u = 3^(1/2), x = -1, And(0 < y,y < 2)
, z = (y+1)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576],
[-1, -1], [1, 1], [741455/524288, 1482911/1048576]]]], [[8, 14, 4, 7, 5], [v =
1, u = 3^(1/2), x = -1, And(0 < y,y < 2), (y+1)^(1/2) < z], [regular_chain, [[
1, 1], [908093/524288, 1816187/1048576], [-1, -1], [1, 1], [3, 3]]]], [[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 = u^2
-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-10, -10], [-1527887/1048576, -763943/524288], [-4, -4]]]
], [[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 = u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [-10, -10], [-1527887/1048576, -763943/
524288], [-1532401/524288, -24518415/8388608]]]], [[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 = u^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], [-1527887/1048576, -763943/524288], [-\
7/16777216, -7/16777216]]]], [[9, 1, 1, 6, 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], [-\
1527887/1048576, -763943/524288], [3064801/1048576, 1532401/524288]]]], [[9, 1
, 1, 6, 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], [-1527887/1048576, -763943/524288], [4, 4]]]]
, [[9, 6, 4, 1, 1], [And(1 < v,v < 2^(1/2)), u = -v, x = 0, y < 0, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-1, -1], [0, 0]]]], [[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 < -(y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-1, -1], [1/2, 1/2], [-3, -3]]]], [[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 = -(y+1)^(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, 5, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -1, And(0 < 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], [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 = (y+1)^(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, 5, 5], [And(1 < v,v < 2^(1/2)),
u = -(v^2-1)^(1/2), x = -1, And(0 < y,y < 1), (y+1)^(1/2) < z], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-1
, -1], [1/2, 1/2], [3, 3]]]], [[9, 8, 7, 7, 1], [And(1 < v,v < 2^(1/2)), u = -
(v^2-1)^(1/2), And(0 < x,x < 1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [1/2,
1/2], [4, 4], [-3, -3]]]], [[9, 8, 7, 7, 2], [And(1 < v,v < 2^(1/2)), u = -(v^
2-1)^(1/2), And(0 < x,x < 1), x+2 < y, z = -(y-x)^(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, 7, 3], [And(1 <
v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(0 < x,x < 1), x+2 < y, And(-(y-x)^(1/2
) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-1417877/2097152, -354469/524288], [1/2, 1/2], [4, 4], [0, 0]]]], [[9, 8, 7,
7, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(0 < x,x < 1), x+2 < y,
z = (y-x)^(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, 7, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), 
And(0 < x,x < 1), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-1417877/2097152, -354469/524288], [1/2, 1/2], [4, 4], [3
, 3]]]], [[9, 10, 6, 2, 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, 2, 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, 2, 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, 4, 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, 4, 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, 4, 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, 3, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, u^2-v^2-1
< x, And(0 < y,y < x-u^2+v^2+1), z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [8, 8], [763943/1048576, 763943/1048576], [0, 0]]]],
[[10, 4, 8, 1, 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], [-1, -1], [0, 0]]]], [[10, 6, 6, 5, 1], [v = 2^(1/2), u = -v
, x = 1, And(1 < y,y < 2), 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, 5, 2], [v = 2^(1/2), u = -v, x = 1, And(1 < y,y < 2), 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, 5, 3], [v = 2^(1/2), u = -v, x = 1, And(1 < y,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], [3/2, 3/2], [0,
0]]]], [[10, 6, 6, 5, 4], [v = 2^(1/2), u = -v, x = 1, And(1 < y,y < 2), 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, 5, 5], [v = 2^(1/2), u = -v, x = 1, And(1 < y,y < 2), (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, 1, 5, 1], [v = 2^(1/
2), u = 1, x < -2, And(x+2 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [-3, -3], [-1/2, -1/2], [-3, -3]]]],
[[10, 12, 1, 5, 2], [v = 2^(1/2), u = 1, x < -2, And(x+2 < y,y < 0), z = -(y-x
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3, -3],
[-1/2, -1/2], [-3315889/2097152, -207243/131072]]]], [[10, 12, 1, 5, 3], [v =
2^(1/2), u = 1, x < -2, And(x+2 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/
2))], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3, -3], [-1
/2, -1/2], [0, 0]]]], [[10, 12, 1, 5, 4], [v = 2^(1/2), u = 1, x < -2, And(x+2
< y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [1, 1], [-3, -3], [-1/2, -1/2], [207243/131072, 1657945/1048576]]]], [[10,
12, 1, 5, 5], [v = 2^(1/2), u = 1, x < -2, And(x+2 < y,y < 0), (y-x)^(1/2) < z
], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3, -3], [-1/2,
-1/2], [3, 3]]]], [[10, 13, 11, 4, 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, 4, 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, 4, 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, 7, 1], [2^(1/2) < v,
u = -(v^2+2)^(1/2), x = 0, 3 < y, z < -y^(1/2)], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [0, 0], [4, 4], [-3, -3]]]], [[11, 2, 6, 7,
2], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 0, 3 < y, z = -y^(1/2)], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [0, 0], [4, 4], [
-2, -2]]]], [[11, 2, 6, 7, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 0, 3 < y,
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, 7, 4], [2^(1/2) < v,
u = -(v^2+2)^(1/2), x = 0, 3 < y, z = y^(1/2)], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [0, 0], [4, 4], [2, 2]]]], [[11, 2, 6, 7, 5
], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 0, 3 < y, y^(1/2) < z], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [0, 0], [4, 4], [
3, 3]]]], [[11, 4, 4, 5, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -1, And(0 <
y,y < 1), z < -(y+1)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -\
207243/65536], [-1, -1], [1/2, 1/2], [-3, -3]]]], [[11, 4, 4, 5, 2], [2^(1/2)
< v, u = -(v^2+1)^(1/2), x = -1, And(0 < y,y < 1), z = -(y+1)^(1/2)], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-1, -1], [1/2, 1/2
], [-1284239/1048576, -642119/524288]]]], [[11, 4, 4, 5, 3], [2^(1/2) < v, u =
-(v^2+1)^(1/2), x = -1, And(0 < y,y < 1), And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(1/2)], [regular_chain, [[3, 3], [-3315889/
1048576, -207243/65536], [-1, -1], [1/2, 1/2], [642119/524288, 1284239/1048576
]]]], [[11, 4, 4, 5, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -1, And(0 < y,y
< 1), (y+1)^(1/2) < z], [regular_chain, [[3, 3], [-3315889/1048576, -207243/
65536], [-1, -1], [1/2, 1/2], [3, 3]]]], [[11, 10, 1, 7, 1], [2^(1/2) < v, u =
-(v^2-2)^(1/2), x < -3, And(x+3 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain,
[[3, 3], [-5548543/2097152, -2774271/1048576], [-4, -4], [-1/2, -1/2], [-3, -3
]]]], [[11, 10, 1, 7, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), x < -3, And(x+3 <
y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -\
2774271/1048576], [-4, -4], [-1/2, -1/2], [-7846825/4194304, -980853/524288]]]
], [[11, 10, 1, 7, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), x < -3, And(x+3 < y,y
< 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [-4, -4], [-1/2, -1/2], [0, 0]]]], [[11, 
10, 1, 7, 4], [2^(1/2) < v, u = -(v^2-2)^(1/2), x < -3, And(x+3 < y,y < 0), z
= (y-x)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576],
[-4, -4], [-1/2, -1/2], [980853/524288, 1961707/1048576]]]], [[11, 10, 1, 7, 5
], [2^(1/2) < v, u = -(v^2-2)^(1/2), x < -3, And(x+3 < y,y < 0), (y-x)^(1/2) <
z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-4, -4], [
-1/2, -1/2], [3, 3]]]], [[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 = x, z < 0], [regular_chain
, [[3, 3], [0, 0], [9/2, 9/2], [9/2, 9/2], [-1, -1]]]], [[11, 11, 9, 6, 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, 6, 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, 9, 3, 1], [2^(1/2) < v, And((
v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), And(0 < y,y < x), z = z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [1/4,
1/4], [0, 0]]]], [[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-u^2+v^2+1 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)],
[regular_chain, [[3, 3], [403851/131072, 403851/131072], [1/2, 1/2], [3/2, 3/2
], [-2, -2]]]], [[11, 17, 9, 7, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2))
, And(0 < x,x < 1), And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [1/2, 1/2], [3/2, 3/2]
, [-1, -1]]]], [[11, 17, 9, 7, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)),
And(0 < x,x < 1), And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [1/2
, 1/2], [3/2, 3/2], [0, 0]]]], [[11, 17, 9, 7, 4], [2^(1/2) < v, And(v < u,u <
(v^2+1)^(1/2)), And(0 < x,x < 1), And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = (y
-x)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [1/2, 1/2
], [3/2, 3/2], [1, 1]]]], [[11, 17, 9, 7, 5], [2^(1/2) < v, And(v < u,u < (v^2
+1)^(1/2)), And(0 < x,x < 1), And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), (y-x)^(1/2
) < z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [1/2, 1/2], [
3/2, 3/2], [2, 2]]]], [[1, 1, 1, 8, 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, 8, 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, 8,
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, 8, 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, 8, 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, 8, 2, 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, 4, 7, 1], [v <
-2^(1/2), u = -(v^2-1)^(1/2), x = -1, 1 < y, z < -(y+1)^(1/2)], [regular_chain
, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-1, -1], [2, 2], [-3, -3]
]]], [[1, 8, 4, 7, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -1, 1 < y, z = -
(y+1)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304]
, [-1, -1], [2, 2], [-1816187/1048576, -3632373/2097152]]]], [[1, 8, 4, 7, 3],
[v < -2^(1/2), u = -(v^2-1)^(1/2), x = -1, 1 < y, And(-(y+1)^(1/2) < z,z < (y+
1)^(1/2))], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304],
[-1, -1], [2, 2], [-1/4194304, -1/4194304]]]], [[1, 8, 4, 7, 4], [v < -2^(1/2)
, u = -(v^2-1)^(1/2), x = -1, 1 < y, z = (y+1)^(1/2)], [regular_chain, [[-3, -\
3], [-2965821/1048576, -11863283/4194304], [-1, -1], [2, 2], [908093/524288, 
1816187/1048576]]]], [[1, 8, 4, 7, 5], [v < -2^(1/2), u = -(v^2-1)^(1/2), x =
-1, 1 < y, (y+1)^(1/2) < z], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [-1, -1], [2, 2], [3, 3]]]], [[1, 10, 3, 4, 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, 4, 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, 4, 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, 2, 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, 5, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x
= 1, And(1 < y,y < u^2-v^2+2), 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(1 < y,y < u^2-v^2+2), 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(1 < 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], [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(1 < y,y < u^2-
v^2+2), 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(1 < y,y < u^2-v^2+2), (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 = z], [regular_chain, [[-3, -3], [5, 5], [0, 0], [-15, -15], [0, 0]
]]], [[2, 2, 1, 5, 1], [v = -2^(1/2), u = -2, x < -3, And(x < y,y < x+3), z <
-(y-x)^(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 < y,y < x+3), z = -(y-x)^(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 < y
,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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 < y,y < x+3), z = (y-x)^(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 < y,y < x+3), (y-x)^(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(u^2+x-1 < y,y
< x), 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 < 0, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [7/8, 7/8], [-1, -1], [0, 0]]]], [[2, 17
, 6, 5, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 0, And(0 < y,y < u^2-1)
, 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, 5, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 0, And(0
< y,y < u^2-1), 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, 5, 3], [v = -2^(1/2)
, And(3^(1/2) < u,u < 2), x = 0, And(0 < y,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], [2602619/2097152, 2602619/2097152], [0, 0]]]], [[2
, 17, 6, 5, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 0, And(0 < y,y < u^
2-1), 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, 5, 5], [v = -2^(1/2), And(3^(1/2)
< u,u < 2), x = 0, And(0 < y,y < u^2-1), y^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [0, 0],
[2602619/2097152, 2602619/2097152], [3, 3]]]], [[2, 19, 4, 1, 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], [-8, -8], [0, 0]]]], [[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 = 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], [843597/262144, 3374389/1048576], [-3, -3]]]]
, [[3, 3, 9, 8, 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], [843597/262144, 3374389/
1048576], [-3301741/2097152, -825435/524288]]]], [[3, 3, 9, 8, 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], [843597/262144, 3374389/
1048576], [0, 0]]]], [[3, 3, 9, 8, 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], [
843597/262144, 3374389/1048576], [825435/524288, 1650871/1048576]]]], [[3, 3,
9, 8, 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], [843597/262144, 3374389/
1048576], [3, 3]]]], [[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 = 0, z = z], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [1/2, 1/2],
[0, 0], [0, 0]]]], [[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 = -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], [1196409/1048576, 598205/524288]
, [-3, -3]]]], [[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 = -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], [1196409/1048576, 598205/524288],
[-1314069/1048576, -328517/262144]]]], [[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 = -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], [1196409/1048576, 598205/524288], [0, 0]]]], [[3, 11, 6, 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 = -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], [1196409/1048576, 598205/524288], [328517/262144, 1314069/1048576]]]
], [[3, 11, 6, 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 = -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], [1196409/1048576, 598205/524288], [3, 3]]]],
[[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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z < -(y-x)^(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, 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(x-u^2+v^2+1 < y,y < u^2-v^2
+x+1), z = -(y-x)^(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, 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(x-u^2+
v^2+1 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(x-u^2+v^2+1 < y,y < u^2-v^2+x+
1), z = (y-x)^(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, 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(x-u^2+v^2+1 <
y,y < u^2-v^2+x+1), (y-x)^(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, 9, 9, 1], [And(-
2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), u^2-v^2+
x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [3, 3], [-3, -3]]]],
[[3, 13, 9, 9, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 
And(0 < x,x < 1), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 3], [And(-
2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), u^2-v^2+
x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [3
, 3], [0, 0]]]], [[3, 13, 9, 9, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u <
(v^2+1)^(1/2)), And(0 < x,x < 1), u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(
0 < x,x < 1), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [3
, 3], [3, 3]]]], [[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(0 < y,y < x-u^2+v^2+1
), 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, 2, 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, 5, 1], [v = -1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), 
And(0 < y,y < x-u^2+2), z < -(y-x)^(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(0 < y,y < x-u^2+2), z = -(y-x)^(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(0 < y,y < x-u^2+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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(0 < y,y < x-u^2+2), z = (y-x)^(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(0 < y,y < x-u
^2+2), (y-x)^(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 < 0
, z = z], [regular_chain, [[-1, -1], [1/2, 1/2], [1, 1], [-1, -1], [0, 0]]]],
[[4, 11, 10, 9, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = 1, u^2+1 < y, z < -(y
-1)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1,
1], [4, 4], [-3, -3]]]], [[4, 11, 10, 9, 2], [v = -1, And(1 < u,u < 2^(1/2)),
x = 1, u^2+1 < y, z = -(y-1)^(1/2)], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [1, 1], [4, 4], [-1816187/1048576, -3632373/2097152
]]]], [[4, 11, 10, 9, 3], [v = -1, And(1 < u,u < 2^(1/2)), x = 1, u^2+1 < y, 
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, 9, 4], [v = -1, And(1 < u,u < 2^(1/2)), x = 1, u^2+1 < y, z = (y-1)^(1
/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1, 1], [
4, 4], [908093/524288, 1816187/1048576]]]], [[4, 11, 10, 9, 5], [v = -1, And(1
< u,u < 2^(1/2)), x = 1, u^2+1 < y, (y-1)^(1/2) < z], [regular_chain, [[-1, -1
], [1265743/1048576, 1265743/1048576], [1, 1], [4, 4], [3, 3]]]], [[5, 1, 11,
8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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-u^2+v^2+1, z = z], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [1534619/
2097152, 1534619/2097152], [281267/1048576, 70317/262144], [0, 0]]]], [[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
, u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [2, 2], [6, 6], [-3, -3]]]], [[5, 11, 11, 9, 2], [And(
-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, u^2-v^2+x+1 <
y, z = -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [2, 2], [6, 6], [-2, -2]]]], [[5, 11, 11, 9, 3], [And(-1 < v,v < 0),
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, u^2-v^2+x+1 < y, And(-(y-x)^(
1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [343151/262144, 
343151/262144], [2, 2], [6, 6], [0, 0]]]], [[5, 11, 11, 9, 4], [And(-1 < v,v <
0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, u^2-v^2+x+1 < y, z = (y-x
)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [2, 2
], [6, 6], [2, 2]]]], [[5, 11, 11, 9, 5], [And(-1 < v,v < 0), And((v^2+1)^(1/2
) < u,u < (v^2+2)^(1/2)), 1 < x, u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [2, 2], [6, 6],
[3, 3]]]], [[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(x-u^2+v^2+1 < y,y < 0), z = z], [regular_chain, [[-1/2, -\
1/2], [3, 3], [35/8, 35/8], [-27/16, -27/16], [0, 0]]]], [[6, 5, 10, 4, 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, 4, 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, 4, 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, 3, 1], [v = 0, And(0 < u,u < 1), 1 < x, And(0 < y,y < x), z = z], [
regular_chain, [[0, 0], [1/2, 1/2], [2, 2], [1, 1], [0, 0]]]], [[6, 11, 10, 1,
1], [v = 0, 2^(1/2) < u, x = u^2-1, y < 0, z = z], [regular_chain, [[0, 0], [3
, 3], [8, 8], [-1, -1], [0, 0]]]], [[7, 2, 5, 4, 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, 4, 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, 4, 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, 8, 1, 1, 1], [And(0 < v,v < 1), u = v, x < -1, y < x, z
= z], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2, -2], [-3, -3], [0, 0]]]],
[[7, 10, 2, 2, 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, 2, 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, 2, 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, 5, 3,
1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0),
z < -(y-x)^(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, 3, 2], [And(0 <
v,v < 1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z = -(y-x)^(
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, 3, 3], [And(0 < v,v < 1), u =
(v^2+1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (
y-x)^(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, 3, 4], [And(0 < v,v < 1), u
= (v^2+1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [And(0 < v,v < 1), u = (v^2+1)^(
1/2), And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(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, 3, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-3 < x,x <
-1), And(x-1 < y,y < x), z = z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-2,
-2], [-5/2, -5/2], [0, 0]]]], [[8, 4, 3, 5, 1], [v = 1, u = -2^(1/2), And(-2 <
x,x < -1), And(0 < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-\
1482911/1048576, -741455/524288], [-3/2, -3/2], [1/4, 1/4], [-3, -3]]]], [[8,
4, 3, 5, 2], [v = 1, u = -2^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2), z =
-(y-x)^(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, 5, 3],
[v = 1, u = -2^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2), And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [-3/2, -3/2], [1/4, 1/4], [0, 0]]]], [[8, 4, 3, 5, 4], [v = 1, u = -2
^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2), z = (y-x)^(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, 5, 5], [v = 1, u = -2^(1/
2), And(-2 < x,x < -1), And(0 < y,y < x+2), (y-x)^(1/2) < z], [regular_chain,
[[1, 1], [-1482911/1048576, -741455/524288], [-3/2, -3/2], [1/4, 1/4], [3, 3]]
]], [[8, 6, 1, 7, 1], [v = 1, u = -1, x < -1, 0 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [-1, -1], [-2, -2], [1, 1], [-3, -3]]]], [[8, 6, 1, 7,
2], [v = 1, u = -1, x < -1, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1],
[-1, -1], [-2, -2], [1, 1], [-1816187/1048576, -3632373/2097152]]]], [[8, 6, 1
, 7, 3], [v = 1, u = -1, x < -1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[1, 1], [-1, -1], [-2, -2], [1, 1], [-1/4194304, -1/4194304
]]]], [[8, 6, 1, 7, 4], [v = 1, u = -1, x < -1, 0 < y, z = (y-x)^(1/2)], [
regular_chain, [[1, 1], [-1, -1], [-2, -2], [1, 1], [908093/524288, 1816187/
1048576]]]], [[8, 6, 1, 7, 5], [v = 1, u = -1, x < -1, 0 < y, (y-x)^(1/2) < z]
, [regular_chain, [[1, 1], [-1, -1], [-2, -2], [1, 1], [3, 3]]]], [[8, 10, 5,
6, 1], [v = 1, u = 1, And(0 < x,x < 1), y = x+1, z < -1], [regular_chain, [[1,
1], [1, 1], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[8, 10, 5, 6, 2], [v = 1, u
= 1, And(0 < x,x < 1), y = x+1, z = -1], [regular_chain, [[1, 1], [1, 1], [1/2
, 1/2], [3/2, 3/2], [-1, -1]]]], [[8, 10, 5, 6, 3], [v = 1, u = 1, And(0 < x,x
< 1), y = x+1, And(-1 < z,z < 1)], [regular_chain, [[1, 1], [1, 1], [1/2, 1/2]
, [3/2, 3/2], [0, 0]]]], [[8, 10, 5, 6, 4], [v = 1, u = 1, And(0 < x,x < 1), y
= x+1, z = 1], [regular_chain, [[1, 1], [1, 1], [1/2, 1/2], [3/2, 3/2], [1, 1]
]]], [[8, 10, 5, 6, 5], [v = 1, u = 1, And(0 < x,x < 1), y = x+1, 1 < z], [
regular_chain, [[1, 1], [1, 1], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[8, 12, 6,
1, 1], [v = 1, u = 2^(1/2), x = 0, y < 0, z = z], [regular_chain, [[1, 1], [
741455/524288, 1482911/1048576], [0, 0], [-1, -1], [0, 0]]]], [[9, 2, 6, 5, 1]
, [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 2],
[And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 0, And(0 <
y,y < 3), 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, 5, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 0,
And(0 < y,y < 3), 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, 5, 5], [And(1 < v,v < 2^(1/2)), u = -(
v^2+2)^(1/2), x = 0, And(0 < y,y < 3), 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, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/
2), x = -1, And(-1 < y,y < 0), z < -(y+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-1, -1], [-1/2
, -1/2], [-2, -2]]]], [[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 = -(y+1)^(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, 3, 3], [And(1 < v
,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), And(-(y+1)^(1/2)
< z,z < (y+1)^(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 = (y+1)^(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, 3, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2)
, x = -1, And(-1 < y,y < 0), (y+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-1, -1], [-1/2
, -1/2], [2, 2]]]], [[9, 12, 6, 2, 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, 6, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 7, 1, 1], [v = 2^(1/2), u = -2, And(0 < x,x < 1), y < x-1,
z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [1/2, 1/2
], [-2, -2], [0, 0]]]], [[10, 4, 4, 6, 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,
6, 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,
6, 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, 6, 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, 6, 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, 8, 3, 1], [v = 2^(1/2), u = -1, x = 1, And(0 < y,y < 1), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1, 1], [1/2, 1/2]
, [0, 0]]]], [[10, 10, 5, 4, 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, 4, 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, 4, 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,
7, 1], [v = 2^(1/2), u = 3^(1/2), x < -2, 0 < y, z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-3, -3], [1, 1], [-3, -3]]]], [[10, 16, 1, 7, 2], [v = 2^(1/2), u =
3^(1/2), x < -2, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [908093/524288, 1816187/1048576], [-3, -3], [1, 1], [-2, -2]
]]], [[10, 16, 1, 7, 3], [v = 2^(1/2), u = 3^(1/2), x < -2, 0 < y, And(-(y-x)^
(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576]
, [908093/524288, 1816187/1048576], [-3, -3], [1, 1], [0, 0]]]], [[10, 16, 1,
7, 4], [v = 2^(1/2), u = 3^(1/2), x < -2, 0 < y, z = (y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-3, -3], [1, 1], [2, 2]]]], [[10, 16, 1, 7, 5], [v = 2^(1/2), u = 3
^(1/2), x < -2, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [908093/524288, 1816187/1048576], [-3, -3], [1, 1], [3, 3]]]
], [[10, 17, 11, 6, 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, 6, 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, 6, 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, 3, 1], [v =
2^(1/2), u = 2, And(-3 < x,x < -1), And(x-1 < y,y < x), z = z], [regular_chain
, [[741455/524288, 1482911/1048576], [2, 2], [-2, -2], [-5/2, -5/2], [0, 0]]]]
, [[10, 19, 11, 2, 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, 5, 1], [2^(1/2) < v, u = -v, x < -1, And(x+1 < y,y < 0), z
< -(y-x)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [-1/2, -1/2], [-\
3, -3]]]], [[11, 6, 1, 5, 2], [2^(1/2) < v, u = -v, x < -1, And(x+1 < y,y < 0)
, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [-1/2, -1/2]
, [-1284239/1048576, -642119/524288]]]], [[11, 6, 1, 5, 3], [2^(1/2) < v, u =
-v, x < -1, And(x+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [-3, -3], [-2, -2], [-1/2, -1/2], [0, 0]]]], [[11, 6,
1, 5, 4], [2^(1/2) < v, u = -v, x < -1, And(x+1 < y,y < 0), z = (y-x)^(1/2)],
[regular_chain, [[3, 3], [-3, -3], [-2, -2], [-1/2, -1/2], [642119/524288, 
1284239/1048576]]]], [[11, 6, 1, 5, 5], [2^(1/2) < v, u = -v, x < -1, And(x+1
< y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [-1
/2, -1/2], [3, 3]]]], [[11, 8, 2, 2, 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, 2, 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, 2, 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, 4, 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, 4, 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, 4, 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, 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(u^2-v^2+x+1 < y,y < x), z = z
], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1581613/2097152
, 1581613/2097152], [1048577/2097152, 1048577/2097152], [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 = 0, z = z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [129511/524288, 129511/524288], [0, 0], [0, 0]]]], [[11, 21, 4, 3, 1
], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -1, And(-u^2+v^2 < y,y < -1), z = z],
[regular_chain, [[3, 3], [5, 5], [-1, -1], [-17/2, -17/2], [0, 0]]]], [[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 < 0, z = z], [regular_chain, [
[-3, -3], [-3, -3], [1, 1], [-1, -1], [0, 0]]]], [[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 = x-u^2+v^2
+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [9, 9], [19,
19], [-5, -5]]]], [[1, 11, 11, 8, 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-u^2+v^2+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, 8, 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-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], [9, 9], [19, 19], [0,
0]]]], [[1, 11, 11, 8, 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 = x-u^2+v^2+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, 8, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [0, 0], [9, 9], [19, 19], [5, 5]]]], [[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, -\
2*u^2+2*v^2 < y, 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, 7, 2], [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 = -(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, 7
, 3], [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, 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, 7, 4], [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 = (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, 7, 5], [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, (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, 17, 11, 7, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)
), 1 < x, And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [2, 2], [3, 3], [-2,
-2]]]], [[1, 17, 11, 7, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 <
x, And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[
-3, -3], [403851/131072, 403851/131072], [2, 2], [3, 3], [-1, -1]]]], [[1, 17,
11, 7, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(x-u^2+v^2+
1 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[-3, -3], [403851/131072, 403851/131072], [2, 2], [3, 3], [0, 0]]]], [[1, 
17, 11, 7, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(x-u^2+
v^2+1 < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [2, 2], [3, 3], [1, 1]]]], [[1, 17, 11, 7, 5],
[v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(x-u^2+v^2+1 < y,y < u
^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [2, 2], [3, 3], [2, 2]]]], [[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 = 1, z < 0], [regular_chain
, [[-3, -3], [3396811/1048576, 3396811/1048576], [1, 1], [1, 1], [-1, -1]]]],
[[1, 19, 10, 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, 10, 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,
10, 2, 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, 9, 1, 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], [-1, -1], [0, 0]]]], [[2, 5, 11, 6, 1], [v = -2^(1/2), And(-3^(1/2) < u,
u < v), 1 < x, y = x-u^2+3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [2, 2], [
2647921/1048576, 1323961/524288], [-2, -2]]]], [[2, 5, 11, 6, 2], [v = -2^(1/2
), And(-3^(1/2) < u,u < v), 1 < x, y = x-u^2+3, z = -(-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [2, 2], [2647921/1048576, 1323961/524288], [-379975/524288,
-1519899/2097152]]]], [[2, 5, 11, 6, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v
), 1 < x, y = x-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], [2, 2], [2647921/1048576, 1323961/524288], [-1/4194304, -1/
4194304]]]], [[2, 5, 11, 6, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), 1 < x,
y = x-u^2+3, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [2, 2], [2647921/1048576, 
1323961/524288], [759949/1048576, 379975/524288]]]], [[2, 5, 11, 6, 5], [v = -
2^(1/2), And(-3^(1/2) < u,u < v), 1 < x, y = x-u^2+3, (-u^2+3)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [2, 2], [2647921/1048576, 1323961/524288], [2, 2]]]], [[2, 8
, 1, 1, 1], [v = -2^(1/2), u = -1, x < -2, y < x, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [-3, -3], [-4, -4], [0, 0]]]], [[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 < x, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-275385/1048576, -275385/1048576
], [-2, -2], [0, 0]]]], [[2, 19, 6, 3, 1], [v = -2^(1/2), 2 < u, x = 0, And(-u
^2+3 < y,y < 0), z = z], [regular_chain, [[-1482911/1048576, -741455/524288],
[3, 3], [0, 0], [-3, -3], [0, 0]]]], [[3, 2, 1, 2, 1], [And(-2^(1/2) < v,v < -\
1), u = -(v^2+2)^(1/2), x < -3, y = x-1, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-4, -4], [-\
5, -5], [0, 0]]]], [[3, 7, 8, 3, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u <
-(v^2-1)^(1/2)), x = 0, And(0 < y,y < u^2-v^2+1), 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, 3, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 0,
And(0 < y,y < u^2-v^2+1), 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, 3,
3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 0, And(0 < 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], [
225185/1048576, 225185/1048576], [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(0 < y,y < u^2-v^2+1), 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, 3, 5], [And(-2^(1/2) < v,v < -1), And(v
< u,u < -(v^2-1)^(1/2)), x = 0, And(0 < y,y < u^2-v^2+1), 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, 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 = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [239655/1048576, 239655/1048576],
[-29957/131072, -239655/1048576], [0, 0]]]], [[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 < -y^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [0, 0], [
8957873/2097152, 8957873/2097152], [-4, -4]]]], [[3, 17, 6, 5, 2], [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 = -y^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [0, 0], [
8957873/2097152, 8957873/2097152], [-2167143/1048576, -1083571/524288]]]], [[3
, 17, 6, 5, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 0, And(0 < y
,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], [8957873/2097152, 8957873/2097152]
, [0, 0]]]], [[3, 17, 6, 5, 4], [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 = y^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [0, 0], [8957873/2097152, 8957873/2097152]
, [1083571/524288, 2167143/1048576]]]], [[3, 17, 6, 5, 5], [And(-2^(1/2) < v,v
< -1), (v^2+2)^(1/2) < u, x = 0, And(0 < y,y < u^2-v^2+1), y^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [0, 0], [8957873
/2097152, 8957873/2097152], [4, 4]]]], [[4, 2, 1, 4, 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, 4, 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, 4, 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,
7, 1], [v = -1, And(-1 < u,u < 0), x = 0, -u^2+2 < y, z < -y^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [0, 0], [3, 3], [-3, -3]]]], [[4, 7, 8
, 7, 2], [v = -1, And(-1 < u,u < 0), x = 0, -u^2+2 < y, z = -y^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [0, 0], [3, 3], [-1816187/1048576, -\
3632373/2097152]]]], [[4, 7, 8, 7, 3], [v = -1, And(-1 < u,u < 0), x = 0, -u^2
+2 < y, 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, 7, 4], [v = -1, And
(-1 < u,u < 0), x = 0, -u^2+2 < y, z = y^(1/2)], [regular_chain, [[-1, -1], [-\
1/2, -1/2], [0, 0], [3, 3], [908093/524288, 1816187/1048576]]]], [[4, 7, 8, 7,
5], [v = -1, And(-1 < u,u < 0), x = 0, -u^2+2 < y, y^(1/2) < z], [
regular_chain, [[-1, -1], [-1/2, -1/2], [0, 0], [3, 3], [3, 3]]]], [[4, 9, 7,
6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 10, 4, 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], [275385/524288, 550771/1048576], [0
, 0]]]], [[4, 15, 7, 3, 1], [v = -1, 3^(1/2) < u, And(0 < x,x < 1), And(x-u^2+
2 < y,y < 0), z = z], [regular_chain, [[-1, -1], [3, 3], [1/2, 1/2], [-13/4, -\
13/4], [0, 0]]]], [[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 < 0, z = z], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [1/2, 1/2], [-1, -1], [0, 0]]]], [[5, 7, 9
, 5, 1], [And(-1 < v,v < 0), And(v < u,u < -v), And(0 < x,x < 1), And(x < y,y
< u^2-v^2+x+1), z < -(y-x)^(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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z
< (y-x)^(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(x < y,y < u^2-v^2+x+1), z = (y-x)^(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(x
< y,y < u^2-v^2+x+1), (y-x)^(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 = x-u^2+v^2+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, 8, 2], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, y = x-u^2+v^2+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, 8, 3], [And(-1 < v,v
< 0), And(v < u,u < -v), 1 < x, y = x-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], [2, 2], [13/4,
13/4], [0, 0]]]], [[5, 7, 11, 8, 4], [And(-1 < v,v < 0), And(v < u,u < -v), 1
< x, y = x-u^2+v^2+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,
8, 5], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, y = x-u^2+v^2+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, 3, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x < -2, 
And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343
/1048576, 146543/131072], [-3, -3], [-2, -2], [-2, -2]]]], [[5, 10, 1, 3, 2],
[And(-1 < v,v < 0), u = (v^2+1)^(1/2), x < -2, And(x < y,y < x+2), z = -(y-x)^
(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3,
-3], [-2, -2], [-1, -1]]]], [[5, 10, 1, 3, 3], [And(-1 < v,v < 0), u = (v^2+1)
^(1/2), x < -2, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3, -3], [-2,
-2], [0, 0]]]], [[5, 10, 1, 3, 4], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x <
-2, And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1172343/1048576, 146543/131072], [-3, -3], [-2, -2], [1, 1]]]], [[5, 10, 1, 3,
5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x < -2, And(x < y,y < x+2), (y-x)^(
1/2) < z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-\
3, -3], [-2, -2], [2, 2]]]], [[6, 2, 3, 1, 1], [v = 0, u = -2^(1/2), And(-3 <
x,x < -1), y < x-1, z = z], [regular_chain, [[0, 0], [-1482911/1048576, -\
741455/524288], [-2, -2], [-4, -4], [0, 0]]]], [[6, 3, 10, 9, 1], [v = 0, And(
-2^(1/2) < u,u < -1), x = 1, u^2+2 < y, z < -(y-1)^(1/2)], [regular_chain, [[0
, 0], [-1265743/1048576, -1265743/1048576], [1, 1], [5, 5], [-3, -3]]]], [[6,
3, 10, 9, 2], [v = 0, And(-2^(1/2) < u,u < -1), x = 1, u^2+2 < y, z = -(y-1)^(
1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [1, 1],
[5, 5], [-2, -2]]]], [[6, 3, 10, 9, 3], [v = 0, And(-2^(1/2) < u,u < -1), x =
1, u^2+2 < y, 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, 9
, 4], [v = 0, And(-2^(1/2) < u,u < -1), x = 1, u^2+2 < y, z = (y-1)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [1, 1], [5, 5],
[2, 2]]]], [[6, 3, 10, 9, 5], [v = 0, And(-2^(1/2) < u,u < -1), x = 1, u^2+2 <
y, (y-1)^(1/2) < z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [1, 1], [5, 5], [3, 3]]]], [[6, 8, 3, 2, 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, 2, 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, 2, 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, 4, 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, 4, 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, 4
, 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, 4, 1, 2,
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, 2, 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, 2, 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, 1
, 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], [-1
, -1], [0, 0]]]], [[7, 13, 11, 9, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, u^
2-v^2-1 < x, u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2],
[3, 3], [9, 9], [20, 20], [-5, -5]]]], [[7, 13, 11, 9, 2], [And(0 < v,v < 1),
(v^2+2)^(1/2) < u, u^2-v^2-1 < x, u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [3, 3], [9, 9], [20, 20], [-1738867/524288, -\
3477733/1048576]]]], [[7, 13, 11, 9, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u,
u^2-v^2-1 < x, u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [3, 3], [9, 9], [20, 20], [0, 0]]]], [[7, 13, 11,
9, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, u^2-v^2+x+1 < y, z
= (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [9, 9], [20, 20], [
3477733/1048576, 1738867/524288]]]], [[7, 13, 11, 9, 5], [And(0 < v,v < 1), (v
^2+2)^(1/2) < u, u^2-v^2-1 < x, u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [3, 3], [9, 9], [20, 20], [5, 5]]]], [[8, 2, 7, 3,
1], [v = 1, u = -3^(1/2), And(0 < x,x < 1), And(x-1 < y,y < 0), z = z], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-1/
4, -1/4], [0, 0]]]], [[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(-1 < y,y < 0), z < -(y+1)^(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(-1
< y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)
^(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 = 0, z < -1], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1, -1], [0, 0], [-\
2, -2]]]], [[8, 14, 4, 6, 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, 6, 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, 6, 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, 6, 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, 9, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x < -u
^2+v^2-1, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-3, -3], [-10, -10], [1, 1], [-5, -5]]]], [[9, 1, 1, 9, 2], [And(1
< v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, 0 < y, z = -(y-x)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10, -10], [
1, 1], [-1738867/524288, -3477733/1048576]]]], [[9, 1, 1, 9, 3], [And(1 < v,v
< 2^(1/2)), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, 0 < y, And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3]
, [-10, -10], [1, 1], [0, 0]]]], [[9, 1, 1, 9, 4], [And(1 < v,v < 2^(1/2)), u
< -(v^2+2)^(1/2), x < -u^2+v^2-1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [-10, -10], [1, 1], [3477733/
1048576, 1738867/524288]]]], [[9, 1, 1, 9, 5], [And(1 < v,v < 2^(1/2)), u < -(
v^2+2)^(1/2), x < -u^2+v^2-1, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [-10, -10], [1, 1], [5, 5]]]], [[
9, 6, 3, 5, 1], [And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x < 0), And(0 < y,
y < x+1), z < -(y-x)^(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+1), z = -(y-x)^(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, 5, 3], [And(1 < v,v <
2^(1/2)), u = -v, And(-1 < x,x < 0), And(0 < y,y < x+1), And(-(y-x)^(1/2) < z,
z < (y-x)^(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, 5, 4], [And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x <
0), And(0 < y,y < x+1), z = (y-x)^(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, 5, 5], [And(1 < v,v < 2^(1/
2)), u = -v, And(-1 < x,x < 0), And(0 < y,y < x+1), (y-x)^(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 < -2^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-1, -1], [1, 1], [-3, -3]]]], [[9, 8, 4, 6, 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, 6, 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, 6, 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, 6, 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, 7, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 0, 2 < y, z < -y
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288,
708939/1048576], [0, 0], [3, 3], [-3, -3]]]], [[9, 10, 6, 5, 2], [And(1 < v,v
< 2^(1/2)), u = (v^2-1)^(1/2), x = 0, 2 < y, 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, 5, 3], [And(1 < v,v
< 2^(1/2)), u = (v^2-1)^(1/2), x = 0, 2 < y, 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, 5, 4], [And
(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 0, 2 < y, 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, 5,
5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 0, 2 < y, y^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [0, 0], [3, 3], [3, 3]]]], [[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-1, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-2, -2],
[-4, -4], [0, 0]]]], [[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-u^2+v^2+1, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [8, 8], [763943/524288, 1527887/1048576], [
0, 0]]]], [[10, 4, 7, 7, 1], [v = 2^(1/2), u = -3^(1/2), And(0 < x,x < 1), x+2
< y, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1816187/1048576, -3632373/2097152], [1/2, 1/2], [4, 4], [-3, -3]]]], [[10, 4,
7, 7, 2], [v = 2^(1/2), u = -3^(1/2), And(0 < x,x < 1), x+2 < y, z = -(y-x)^(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, 7, 3], [v = 2^(1/2), u = -3^(1/2), And(0 < x,x < 1), x+2 < y, And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [4, 4], [0, 0]]]],
[[10, 4, 7, 7, 4], [v = 2^(1/2), u = -3^(1/2), And(0 < x,x < 1), x+2 < y, z =
(y-x)^(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, 7, 5], [v = 2^(1/2), u = -3^(1/2), And(0 < x,x < 1),
x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[-1816187/1048576, -3632373/2097152], [1/2, 1/2], [4, 4], [3, 3]]]], [[10, 6,
7, 1, 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], [-1, -1
], [0, 0]]]], [[10, 12, 1, 2, 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, 2, 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, 2, 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, 5, 1], [v = 2^(1/2), And(1 < u,u < v), 1 < x, And(x <
y,y < u^2+x-1), z < -(y-x)^(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(x < y,y < u^2+x-1), z = -(y-x)^(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(x < y,y < u^2+x-1),
And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2+x-1), z = (y-x)^(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(x < y,y < u^2+x-1),
(y-x)^(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 < -2^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576,
-207243/65536], [-1, -1], [1, 1], [-3, -3]]]], [[11, 4, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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
, 6, 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, 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), x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [0, 0], [9/2, 9/2], [16, 16], [-5, -5]]]], [[11, 11, 9
, 9, 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), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [0
, 0], [9/2, 9/2], [16, 16], [-3555895/1048576, -1777947/524288]]]], [[11, 11,
9, 9, 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), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [0, 0], [9/2, 9/2], [16, 16], [0, 0]]]], [[11, 11, 9,
9, 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), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [0, 0
], [9/2, 9/2], [16, 16], [1777947/524288, 3555895/1048576]]]], [[11, 11, 9, 9,
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), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [0, 0],
[9/2, 9/2], [16, 16], [5, 5]]]], [[11, 15, 8, 7, 1], [2^(1/2) < v, And((v^2-1)
^(1/2) < u,u < v), x = 0, -u^2+v^2+1 < y, z < -y^(1/2)], [regular_chain, [[3,
3], [6111549/2097152, 6111549/2097152], [0, 0], [3, 3], [-3, -3]]]], [[11, 15,
8, 7, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 0, -u^2+v^2+1 < y, z
= -y^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [0,
0], [3, 3], [-1816187/1048576, -3632373/2097152]]]], [[11, 15, 8, 7, 3], [2^(1
/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 0, -u^2+v^2+1 < y, 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, 7, 4], [2^(1/2) < v,
And((v^2-1)^(1/2) < u,u < v), x = 0, -u^2+v^2+1 < y, z = y^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [0, 0], [3, 3], [
908093/524288, 1816187/1048576]]]], [[11, 15, 8, 7, 5], [2^(1/2) < v, And((v^2
-1)^(1/2) < u,u < v), x = 0, -u^2+v^2+1 < y, y^(1/2) < z], [regular_chain, [[3
, 3], [6111549/2097152, 6111549/2097152], [0, 0], [3, 3], [3, 3]]]], [[11, 17,
9, 8, 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], [2090247/1048576, 261281/131072], [-3, -3]]]], [[
11, 17, 9, 8, 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], [2090247/1048576, 261281/131072], [-\
1281417/1048576, -160177/131072]]]], [[11, 17, 9, 8, 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], [2090247/1048576, 261281/131072], [0, 0]]]], [[11, 17, 9
, 8, 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], [2090247/1048576, 261281/131072], [160177/131072,
1281417/1048576]]]], [[11, 17, 9, 8, 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], [2090247/
1048576, 261281/131072], [3, 3]]]], [[1, 1, 2, 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 = z], [regular_chain, [[-3, -3]
, [-5, -5], [-17, -17], [-32, -32], [0, 0]]]], [[1, 2, 8, 1, 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], [-1, -1], [0, 0]]]], [[1, 8, 5, 1,
1], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y < x, z = z], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2],
[-2, -2], [0, 0]]]], [[1, 10, 3, 1, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), And
(-3 < x,x < -1), y < x-1, z = z], [regular_chain, [[-3, -3], [-5548543/2097152
, -2774271/1048576], [-2, -2], [-4, -4], [0, 0]]]], [[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(u^2-v^2+x+1 < y,
y < x), 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 = 1, z < 0], [regular_chain, [[
-3, -3], [6111549/2097152, 6111549/2097152], [1, 1], [1, 1], [-1, -1]]]], [[1,
15, 10, 4, 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, 4, 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, 3, 1], [v < -2^(1/2), (v^2+2)
^(1/2) < u, x = 0, And(-u^2+v^2+1 < y,y < 0), z = z], [regular_chain, [[-3, -3
], [5, 5], [0, 0], [-15/2, -15/2], [0, 0]]]], [[2, 2, 1, 2, 1], [v = -2^(1/2),
u = -2, x < -3, y = x-1, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-2, -2], [-4, -4], [-5, -5], [0, 0]]]], [[2, 9, 11, 8, 1], [v = -2^(
1/2), And(-1 < u,u < 0), 1 < x, y = x-u^2+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, 8, 2], [v = -2^(1/2), And(-1 < u,u < 0), 1
< x, y = x-u^2+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, 8, 3], [v = -2^(1/2), And(-1 < u,u < 0), 1 <
x, y = x-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], [2, 2], [19/4, 19/4], [-1/
4194304, -1/4194304]]]], [[2, 9, 11, 8, 4], [v = -2^(1/2), And(-1 < u,u < 0),
1 < x, y = x-u^2+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, 8, 5], [v = -2^(1/2), And(-1 < u,u < 0), 1 < x, y = x
-u^2+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, 7, 1], [v
= -2^(1/2), And(0 < u,u < 1), x = -u^2+1, -2*u^2+4 < y, 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, 7, 2], [v = -2^(1/2), And(0 < u,u < 1), x = -u
^2+1, -2*u^2+4 < y, 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, 7, 3], [v = -2^(1/2), And(0 < u,u < 1), x = -u^2+1, -2
*u^2+4 < y, 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, 7, 4], [v = -2^(1/2), And(0 < u,u < 1), x = -u^2+1, -2*u^2+4 < y,
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,
7, 5], [v = -2^(1/2), And(0 < u,u < 1), x = -u^2+1, -2*u^2+4 < y, (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, 6, 6, 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], [2602619
/1048576, 650655/262144], [-3, -3]]]], [[2, 17, 6, 6, 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],
[2602619/1048576, 650655/262144], [-825991/524288, -3303963/2097152]]]], [[2,
17, 6, 6, 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], [2602619/1048576,
650655/262144], [-1/4194304, -1/4194304]]]], [[2, 17, 6, 6, 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
], [2602619/1048576, 650655/262144], [1651981/1048576, 825991/524288]]]], [[2,
17, 6, 6, 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], [2602619/1048576, 650655/262144], [3, 3]]]]
, [[2, 19, 3, 7, 1], [v = -2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), And(0 < y,y
< u^2+x-1), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [-9/2, -9/2], [7/4, 7/4], [-4, -4]]]], [[2, 19, 3, 7, 2], [v
= -2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), And(0 < y,y < u^2+x-1), z = -(y-x)^
(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, 7, 3], [v = -2^(1/2), 2 < u, And
(-u^2+1 < x,x < -1), And(0 < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1
/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-9/2, -9/
2], [7/4, 7/4], [0, 0]]]], [[2, 19, 3, 7, 4], [v = -2^(1/2), 2 < u, And(-u^2+1
< x,x < -1), And(0 < y,y < u^2+x-1), z = (y-x)^(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, 7, 5], [v = -2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), And(0 <
y,y < u^2+x-1), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [-9/2, -9/2], [7/4, 7/4], [4, 4]]]], [[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 = 0
, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [1, 1], [0, 0], [0, 0]]]], [[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 < 0,
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [1/2, 1/2], [-1, -1], [0, 0]]]], [[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, -2
*u^2+2*v^2 < y, 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, 7, 2], [And(-2^(1/2) < v,v < -1), 
And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, -2*u^2+2*v^2 < y, 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, 7, 3], [And(-2^(1/2) < v,v < -1),
And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, -2*u^2+2*v^2 < y, 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, 7, 4], [And(-2^(1/2
) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, -2*u^2+2*v^2 < y
, 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, 7, 5], [And(-2^(1/2)
< v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, -2*u^2+2*v^2 < y,
(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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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
, 10, 1, 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], [-1, -1], [0, 0]]]], [[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, 2*u^2-2*v^2 < y, z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [501965/1048576, 
250983/524288], [4, 4], [-3, -3]]]], [[3, 15, 8, 7, 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, 2*u^2-2*v^2 < y,
z = -(y-u^2+v^2+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, 7, 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, 2*u^2-2*
v^2 < y, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [501965/1048576, 250983/524288], [4, 4], [0, 0]]]], [[3, 15, 8, 7, 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, 2*u^2-2*v^2 < y, z = (y-u^2+v^2+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, 7, 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, 2*u^2-2*v^2 < y, (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [501965/1048576, 
250983/524288], [4, 4], [3, 3]]]], [[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 < 2*u^2-2), z < -(y-u^2+2)^(1/2)],
[regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [248903/
524288, 497807/1048576], [3590571/2097152, 3590571/2097152], [-3, -3]]]], [[4,
3, 8, 5, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2, And(u^2-2 < y
,y < 2*u^2-2), z = -(y-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [248903/524288, 497807/1048576], [3590571/2097152,
3590571/2097152], [-145801/131072, -1166407/1048576]]]], [[4, 3, 8, 5, 3], [v
= -1, And(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), 
And(-(y-u^2+2)^(1/2) < z,z < (y-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [248903/524288, 497807/1048576], [3590571/
2097152, 3590571/2097152], [0, 0]]]], [[4, 3, 8, 5, 4], [v = -1, And(-3^(1/2)
< u,u < -2^(1/2)), x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), z = (y-u^2+2)^(1/2)]
, [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [248903/
524288, 497807/1048576], [3590571/2097152, 3590571/2097152], [1166407/1048576,
145801/131072]]]], [[4, 3, 8, 5, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)),
x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), (y-u^2+2)^(1/2) < z], [regular_chain, [
[-1, -1], [-6598195/4194304, -6598195/4194304], [248903/524288, 497807/1048576
], [3590571/2097152, 3590571/2097152], [3, 3]]]], [[4, 5, 7, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 10, 2, 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, 10, 6, 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], [1617841/1048576, 808921/524288], [-2, -2]]]], [[4, 11, 10,
6, 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], [
1617841/1048576, 808921/524288], [-772605/1048576, -1545209/2097152]]]], [[4,
11, 10, 6, 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], [1617841/1048576, 808921/524288], [-1/4194304, -1/
4194304]]]], [[4, 11, 10, 6, 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], [1617841/1048576, 808921/524288], [193151/262144, 
772605/1048576]]]], [[4, 11, 10, 6, 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], [1617841/1048576, 808921/524288], [2, 2]]]], [[5,
2, 1, 2, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x < -3, y = x-1, z = z],
[regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-4, -4], [-5, -5], [0, 0]]]], [[
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(0 < y,y < x-u^2+v^2+1), z = z], [regular_chain
, [[-1/2, -1/2], [-343151/262144, -343151/262144], [1534619/2097152, 1534619/
2097152], [281267/2097152, 281267/2097152], [0, 0]]]], [[5, 12, 1, 1, 1], [And
(-1 < v,v < 0), u = (v^2+2)^(1/2), x < -3, y < x-1, z = z], [regular_chain, [[
-1/2, -1/2], [3/2, 3/2], [-4, -4], [-6, -6], [0, 0]]]], [[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 < -(y-1)^(1/2)],
[regular_chain, [[-1/2, -1/2], [3, 3], [1, 1], [12, 12], [-5, -5]]]], [[5, 13,
8, 9, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = 1, u^2-v^2+2 < y, z = -(y
-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [1, 1], [12, 12], [-1738867
/524288, -3477733/1048576]]]], [[5, 13, 8, 9, 3], [And(-1 < v,v < 0), (v^2+2)^
(1/2) < u, x = 1, u^2-v^2+2 < y, 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,
9, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = 1, u^2-v^2+2 < y, z = (y-1)^
(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [1, 1], [12, 12], [3477733/
1048576, 1738867/524288]]]], [[5, 13, 8, 9, 5], [And(-1 < v,v < 0), (v^2+2)^(1
/2) < u, x = 1, u^2-v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[-1/2, -1/2]
, [3, 3], [1, 1], [12, 12], [5, 5]]]], [[6, 5, 10, 7, 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, 7, 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,
7, 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, 7, 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, 7, 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, 11, 2, 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, 10, 2, 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, 5, 1, 1], [
And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y < x-1, z = z], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1/2, -1/2], [-3, -3], [0, 0]]]], [
[7, 8, 1, 4, 1], [And(0 < v,v < 1), u = v, x < -1, y = x+1, 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 = x+1, 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 = x+1, 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 = x+1, 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 = x+1, 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 < -2, z = z], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [-2, -2], [-3, -3], [0, 0]]]], [[7, 10, 5, 2,
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, 2, 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, 2,
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, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 2, 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, 2, 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, 2, 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, 1, 1], [v = 1, u = -1, x = -1, y < -1, z = z], [regular_chain, [[1, 1],
[-1, -1], [-1, -1], [-2, -2], [0, 0]]]], [[8, 10, 5, 5, 1], [v = 1, u = 1, And
(0 < x,x < 1), And(x < y,y < x+1), z < -(y-x)^(1/2)], [regular_chain, [[1, 1],
[1, 1], [1/2, 1/2], [1, 1], [-2, -2]]]], [[8, 10, 5, 5, 2], [v = 1, u = 1, And
(0 < x,x < 1), And(x < y,y < x+1), z = -(y-x)^(1/2)], [regular_chain, [[1, 1],
[1, 1], [1/2, 1/2], [1, 1], [-1482911/2097152, -741455/1048576]]]], [[8, 10, 5
, 5, 3], [v = 1, u = 1, And(0 < x,x < 1), And(x < y,y < x+1), And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [1, 1], [1/2, 1/2], [1, 1], [0
, 0]]]], [[8, 10, 5, 5, 4], [v = 1, u = 1, And(0 < x,x < 1), And(x < y,y < x+1
), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [1, 1], [1/2, 1/2], [1, 1], [
741455/1048576, 46341/65536]]]], [[8, 10, 5, 5, 5], [v = 1, u = 1, And(0 < x,x
< 1), And(x < y,y < x+1), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [1, 1], [
1/2, 1/2], [1, 1], [2, 2]]]], [[8, 12, 6, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 2, 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, 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 < 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743
/1048576, 1265743/1048576], [1, 1], [-1, -1], [0, 0]]]], [[9, 14, 7, 2, 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, 2, 6, 5, 1], [v = 2^(1/2), u = -\
2, x = 0, And(0 < y,y < 3), z < -y^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-2, -2], [0, 0], [3/2, 3/2], [-3, -3]]]], [[10, 2, 6, 5, 2]
, [v = 2^(1/2), u = -2, x = 0, And(0 < y,y < 3), 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, 5, 3], [v = 2^(1/2), u = -2, x = 0, 
And(0 < y,y < 3), 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,
5, 4], [v = 2^(1/2), u = -2, x = 0, And(0 < y,y < 3), 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, 5, 5], [v = 2^(1/2), u = -2
, x = 0, And(0 < y,y < 3), y^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-2, -2], [0, 0], [3/2, 3/2], [3, 3]]]], [[10, 4, 4, 7, 1],
[v = 2^(1/2), u = -3^(1/2), x = -1, 1 < y, z < -(y+1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-1,
-1], [2, 2], [-3, -3]]]], [[10, 4, 4, 7, 2], [v = 2^(1/2), u = -3^(1/2), x = -\
1, 1 < y, z = -(y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [-1816187/1048576, -3632373/2097152], [-1, -1], [2, 2], [-1816187/1048576, -\
3632373/2097152]]]], [[10, 4, 4, 7, 3], [v = 2^(1/2), u = -3^(1/2), x = -1, 1
< y, 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], [-1/
4194304, -1/4194304]]]], [[10, 4, 4, 7, 4], [v = 2^(1/2), u = -3^(1/2), x = -1
, 1 < y, z = (y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1816187/1048576, -3632373/2097152], [-1, -1], [2, 2], [908093/524288, 
1816187/1048576]]]], [[10, 4, 4, 7, 5], [v = 2^(1/2), u = -3^(1/2), x = -1, 1
< y, (y+1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1816187/1048576, -3632373/2097152], [-1, -1], [2, 2], [3, 3]]]], [[10, 8, 8, 2
, 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, 5, 7,
1], [v = 2^(1/2), u = 0, And(-1 < x,x < 0), And(0 < y,y < x+3), z < -(y-x)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-1/2, -1/2],
[5/4, 5/4], [-3, -3]]]], [[10, 10, 5, 7, 2], [v = 2^(1/2), u = 0, And(-1 < x,x
< 0), And(0 < y,y < x+3), z = -(y-x)^(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, 7, 3], [v = 2^(1/2), u = 0, And(-1 < x,x < 0), And(0
< y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455
/524288, 1482911/1048576], [0, 0], [-1/2, -1/2], [5/4, 5/4], [0, 0]]]], [[10,
10, 5, 7, 4], [v = 2^(1/2), u = 0, And(-1 < x,x < 0), And(0 < y,y < x+3), z =
(y-x)^(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, 7, 5], [v
= 2^(1/2), u = 0, And(-1 < x,x < 0), And(0 < y,y < x+3), (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-1/2, -1/2], [5/4,
5/4], [3, 3]]]], [[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(x < y,y <
u^2+x-1), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [3913339/2097152, 3913339/2097152], [2, 2], [6796923/2097152, 6796923/
2097152], [-3, -3]]]], [[10, 17, 11, 7, 2], [v = 2^(1/2), And(3^(1/2) < u,u <
2), 1 < x, And(x < y,y < u^2+x-1), z = -(y-x)^(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, 7, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, And(x < y,y < u^2+x-\
1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [3913339/2097152, 3913339/2097152], [2, 2], [6796923/2097152
, 6796923/2097152], [0, 0]]]], [[10, 17, 11, 7, 4], [v = 2^(1/2), And(3^(1/2)
< u,u < 2), 1 < x, And(x < y,y < u^2+x-1), z = (y-x)^(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, 7, 5], [v = 2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, And(x < y,y < u^2+x-1)
, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
3913339/2097152, 3913339/2097152], [2, 2], [6796923/2097152, 6796923/2097152],
[3, 3]]]], [[10, 18, 2, 7, 1], [v = 2^(1/2), u = 2, x = -3, 0 < y, z < -(y+3)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-3, -3], [
1, 1], [-3, -3]]]], [[10, 18, 2, 7, 2], [v = 2^(1/2), u = 2, x = -3, 0 < y, z
= -(y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-\
3, -3], [1, 1], [-2, -2]]]], [[10, 18, 2, 7, 3], [v = 2^(1/2), u = 2, x = -3,
0 < y, And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))], [regular_chain, [[741455/524288
, 1482911/1048576], [2, 2], [-3, -3], [1, 1], [0, 0]]]], [[10, 18, 2, 7, 4], [
v = 2^(1/2), u = 2, x = -3, 0 < y, z = (y+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [2, 2], [-3, -3], [1, 1], [2, 2]]]], [[10, 18, 2, 7,
5], [v = 2^(1/2), u = 2, x = -3, 0 < y, (y+3)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [2, 2], [-3, -3], [1, 1], [3, 3]]]], [[10, 19
, 11, 3, 1], [v = 2^(1/2), 2 < u, u^2-3 < x, And(0 < y,y < x-u^2+3), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7, 7], [1/2, 1/2],
[0, 0]]]], [[11, 6, 1, 4, 1], [2^(1/2) < v, u = -v, x < -1, y = x+1, 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 = x+1, 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 = x+1, 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 = x+1, 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 = x+1, 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, 0 < y, z < -(y+2)^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-2, -2], [1, 1
], [-3, -3]]]], [[11, 8, 2, 5, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -2, 0
< y, z = -(y+2)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [-2, -2], [1, 1], [-1816187/1048576, -3632373/2097152]]]], [[11, 8,
2, 5, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -2, 0 < y, And(-(y+2)^(1/2) <
z,z < (y+2)^(1/2))], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [-2, -2], [1, 1], [-1/4194304, -1/4194304]]]], [[11, 8, 2, 5, 4], [2
^(1/2) < v, u = -(v^2-1)^(1/2), x = -2, 0 < y, z = (y+2)^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-2, -2], [1, 1
], [908093/524288, 1816187/1048576]]]], [[11, 8, 2, 5, 5], [2^(1/2) < v, u = -
(v^2-1)^(1/2), x = -2, 0 < y, (y+2)^(1/2) < z], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [-2, -2], [1, 1], [3, 3]]]], [[11, 12, 1,
1, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x < -3, y < x-1, z = z], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-4, -4], [-6, -6], [0,
0]]]], [[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 = x, z < 0], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [1581613/2097152, 1581613/2097152], [395403/
524288, 790807/1048576], [-1, -1]]]], [[11, 13, 9, 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], [1581613/2097152, 
1581613/2097152], [395403/524288, 790807/1048576], [0, 0]]]], [[11, 13, 9, 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], [1581613/2097152, 1581613/2097152], [395403/524288, 790807/1048576],
[1, 1]]]], [[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(x-u^2+v^2+1 < 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, 6,
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, 6, 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, 6, 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, 6, 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, 6, 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, 3,
1], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(0 < y,y < x), z =
z], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [1/2, 1/2],
[1/4, 1/4], [0, 0]]]], [[1, 6, 5, 7, 1], [v < -2^(1/2), u = v, And(0 < x,x < 1
), x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2]
, [3, 3], [-3, -3]]]], [[1, 6, 5, 7, 2], [v < -2^(1/2), u = v, And(0 < x,x < 1
), x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2]
, [3, 3], [-3315889/2097152, -207243/131072]]]], [[1, 6, 5, 7, 3], [v < -2^(1/
2), u = v, And(0 < x,x < 1), x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2], [3, 3], [0, 0]]]], [[1, 6, 5,
7, 4], [v < -2^(1/2), u = v, And(0 < x,x < 1), x+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2], [3, 3], [207243/131072, 
1657945/1048576]]]], [[1, 6, 5, 7, 5], [v < -2^(1/2), u = v, And(0 < x,x < 1),
x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2], [3
, 3], [3, 3]]]], [[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, x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [0, 0], [9, 9], [20, 20], [-5, -5]]]], [[1, 11, 11,
9, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 <
x, x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [9,
9], [20, 20], [-1738867/524288, -3477733/1048576]]]], [[1, 11, 11, 9, 3], [v <
-2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, x-u^2+v^2
+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [0,
0], [9, 9], [20, 20], [0, 0]]]], [[1, 11, 11, 9, 4], [v < -2^(1/2), And(-(v^2-\
2)^(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, x-u^2+v^2+1 < y, z = (y-x)^(1
/2)], [regular_chain, [[-3, -3], [0, 0], [9, 9], [20, 20], [3477733/1048576, 
1738867/524288]]]], [[1, 11, 11, 9, 5], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,
u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [0, 0], [9, 9], [20, 20], [5, 5]]]], [[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 < 0, z = z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [1581613/2097152, 1581613/2097152], [-1, -1], [0, 0]]]], [[1, 17, 11,
6, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y = x-u^2+v^2+1, z
< -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [2, 2], [328543/131072, 2628345/1048576], [-2, -2]]]], [[1, 17, 11, 6
, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y = x-u^2+v^2+1, z
= -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [2, 2], [328543/131072, 2628345/1048576], [-373161/524288, -1492643/
2097152]]]], [[1, 17, 11, 6, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)),
1 < x, y = x-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], [2, 2], [328543/
131072, 2628345/1048576], [-1/4194304, -1/4194304]]]], [[1, 17, 11, 6, 4], [v
< -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y = x-u^2+v^2+1, z = (-u^2+v
^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [2, 2
], [328543/131072, 2628345/1048576], [746321/1048576, 373161/524288]]]], [[1,
17, 11, 6, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y = x-u^2+
v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [2, 2], [328543/131072, 2628345/1048576], [2, 2]]]], [[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
(-u^2+v^2+2 < y,y < 1), 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(0 < y,y < -u^2+
4), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [1, 1], [135777/524288, 135777/524288], [0, 0]]]],
[[2, 5, 9, 2, 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, 11, 5, 1],
[v = -2^(1/2), And(-3^(1/2) < u,u < v), 1 < x, And(x < y,y < x-u^2+3), z < -(y
-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [2, 2], [4745073/2097152, 4745073/2097152], [-2, -\
2]]]], [[2, 5, 11, 5, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), 1 < x, And(x
< y,y < x-u^2+3), z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [2, 2], [4745073/2097152
, 4745073/2097152], [-1074731/2097152, -537365/1048576]]]], [[2, 5, 11, 5, 3],
[v = -2^(1/2), And(-3^(1/2) < u,u < v), 1 < x, And(x < y,y < x-u^2+3), And(-(y
-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [2, 2], [4745073/2097152, 
4745073/2097152], [0, 0]]]], [[2, 5, 11, 5, 4], [v = -2^(1/2), And(-3^(1/2) <
u,u < v), 1 < x, And(x < y,y < x-u^2+3), z = (y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [2, 2]
, [4745073/2097152, 4745073/2097152], [537365/1048576, 268683/524288]]]], [[2,
5, 11, 5, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), 1 < x, And(x < y,y < x-u
^2+3), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[-6598195/4194304, -6598195/4194304], [2, 2], [4745073/2097152, 4745073/
2097152], [2, 2]]]], [[2, 7, 11, 9, 1], [v = -2^(1/2), And(v < u,u < -1), 1 <
x, x-u^2+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [-1265743/1048576, -1265743/1048576], [2, 2], [5, 5], [-3, -3]]]], [
[2, 7, 11, 9, 2], [v = -2^(1/2), And(v < u,u < -1), 1 < x, x-u^2+3 < y, z = -(
y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [2, 2], [5, 5], [-1816187/1048576, -3632373/
2097152]]]], [[2, 7, 11, 9, 3], [v = -2^(1/2), And(v < u,u < -1), 1 < x, x-u^2
+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [2, 2], [5, 5]
, [-1/4194304, -1/4194304]]]], [[2, 7, 11, 9, 4], [v = -2^(1/2), And(v < u,u <
-1), 1 < x, x-u^2+3 < y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1265743/1048576, -1265743/1048576], [2, 2], [5, 5], [908093
/524288, 1816187/1048576]]]], [[2, 7, 11, 9, 5], [v = -2^(1/2), And(v < u,u <
-1), 1 < x, x-u^2+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1265743/1048576, -1265743/1048576], [2, 2], [5, 5], [3, 3]]
]], [[2, 13, 6, 5, 1], [v = -2^(1/2), And(1 < 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], [1265743/1048576, 1265743/1048576], [-479311/1048576, -239655/
524288], [569265/1048576, 569265/1048576], [-2, -2]]]], [[2, 13, 6, 5, 2], [v
= -2^(1/2), And(1 < u,u < -v), x = -u^2+1, And(0 < y,y < -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], [569265/1048576,
569265/1048576], [-2199022958689/2199023255552, -4398045917377/4398046511104]]
]], [[2, 13, 6, 5, 3], [v = -2^(1/2), And(1 < 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], [1265743/1048576, 1265743/1048576], [-\
479311/1048576, -239655/524288], [569265/1048576, 569265/1048576], [-3600577/
8796093022208, -3600577/8796093022208]]]], [[2, 13, 6, 5, 4], [v = -2^(1/2), 
And(1 < 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], [1265743/1048576, 1265743
/1048576], [-479311/1048576, -239655/524288], [569265/1048576, 569265/1048576]
, [1048575/1048576, 1]]]], [[2, 13, 6, 5, 5], [v = -2^(1/2), And(1 < 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], [1265743/1048576, 1265743/1048576], [-\
479311/1048576, -239655/524288], [569265/1048576, 569265/1048576], [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 = 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, 2, 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, 2, 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, 2, 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, 1, 1
], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x < -3, y < x-1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-4, -4], [-6, -6], [0, 0]]]], [[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], [225185/524288, 450371/1048576], [
-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], [225185/524288, 450371/1048576], [-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], [225185/524288, 450371/1048576], [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], [225185/524288
, 450371/1048576], [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], [225185/524288, 450371/1048576], [
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 < 0), z =
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [239655/
1048576, 239655/1048576], [-239655/2097152, -239655/2097152], [0, 0]]]], [[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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [0, 0], [8957873/1048576, 4478937/524288], [-4, -4]]]], [[3,
17, 6, 6, 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], [8957873/1048576, 4478937/524288], [-1532401/524288,
-24518415/8388608]]]], [[3, 17, 6, 6, 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], [
8957873/1048576, 4478937/524288], [-7/16777216, -7/16777216]]]], [[3, 17, 6, 6
, 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], [8957873/1048576, 4478937/524288], [3064801/1048576, 1532401/
524288]]]], [[3, 17, 6, 6, 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], [8957873/1048576, 4478937/524288], [4, 4]
]]], [[4, 2, 1, 5, 1], [v = -1, u = -3^(1/2), x < -3, And(x < y,y < x+3), z <
-(y-x)^(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 < y,y < x+3), z = -(y-x)^(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 < y
,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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 < y,y < x+3), z = (y-x)^(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 < y,y < x+3), (y-x)^(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 = -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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = -1, And(0 < u,u < 1), And(-u^2 < x,x <
0), And(0 < y,y < u^2+x), z < -(y-x)^(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(0 < y,y < u^2+x), z = -(y-x)^(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(0 < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(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(0 < y,y
< u^2+x), z = (y-x)^(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(0 < y,y < u^2+x), (y-x)^(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(-u^2+
3 < y,y < 1), z = z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [1, 1], [1599347/2097152, 1599347/2097152], [0, 0]]]], [[4, 15, 7, 4
, 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, 7, 1], [And(-1 < v
,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 0, u^2-v^2+1 < y, z < -y^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [0, 0], [3
, 3], [-3, -3]]]], [[5, 5, 8, 7, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) <
u,u < v), x = 0, u^2-v^2+1 < y, 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, 7, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2)
< u,u < v), x = 0, u^2-v^2+1 < y, 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, 7, 4], [And(-1 < v,v < 0), And(-
(v^2+1)^(1/2) < u,u < v), x = 0, u^2-v^2+1 < y, 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, 7, 5], [And(-1 < v,v < 0), And(-(v^2+1
)^(1/2) < u,u < v), x = 0, u^2-v^2+1 < y, y^(1/2) < z], [regular_chain, [[-1/2
, -1/2], [-1696631/2097152, -1696631/2097152], [0, 0], [3, 3], [3, 3]]]], [[5,
7, 9, 4, 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, 4, 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, 4, 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, 9, 1], [And(-1 < v,v < 0), And(v < u,u < -v), 1
< x, x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0]
, [2, 2], [5, 5], [-3, -3]]]], [[5, 7, 11, 9, 2], [And(-1 < v,v < 0), And(v <
u,u < -v), 1 < x, x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1/2,
-1/2], [0, 0], [2, 2], [5, 5], [-1816187/1048576, -3632373/2097152]]]], [[5, 7
, 11, 9, 3], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, x-u^2+v^2+1 < y, 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0],
[2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[5, 7, 11, 9, 4], [And(-1 < v,v
< 0), And(v < u,u < -v), 1 < x, x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [5, 5], [908093/524288, 1816187/
1048576]]]], [[5, 7, 11, 9, 5], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x,
x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [2,
2], [5, 5], [3, 3]]]], [[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, 0 < y,
z < -(y+3)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288]
, [-3, -3], [1, 1], [-3, -3]]]], [[6, 2, 2, 7, 2], [v = 0, u = -2^(1/2), x = -\
3, 0 < y, z = -(y+3)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -\
741455/524288], [-3, -3], [1, 1], [-2, -2]]]], [[6, 2, 2, 7, 3], [v = 0, u = -
2^(1/2), x = -3, 0 < y, And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))], [regular_chain
, [[0, 0], [-1482911/1048576, -741455/524288], [-3, -3], [1, 1], [0, 0]]]], [[
6, 2, 2, 7, 4], [v = 0, u = -2^(1/2), x = -3, 0 < y, z = (y+3)^(1/2)], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-3, -3], [1, 1],
[2, 2]]]], [[6, 2, 2, 7, 5], [v = 0, u = -2^(1/2), x = -3, 0 < y, (y+3)^(1/2)
< z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-3, -3], [
1, 1], [3, 3]]]], [[6, 3, 10, 8, 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], [1812519/524288, 3625039/1048576], [-3, -3]]]], [[6,
3, 10, 8, 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]
, [1812519/524288, 3625039/1048576], [-410915/262144, -3287319/2097152]]]], [[
6, 3, 10, 8, 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], [1812519/524288, 3625039/1048576], [-1/4194304, -1/
4194304]]]], [[6, 3, 10, 8, 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], [1812519/524288, 3625039/1048576], [1643659/1048576, 410915
/262144]]]], [[6, 3, 10, 8, 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], [1812519/524288, 3625039/1048576], [3, 3]]]], [[6, 8, 3, 3,
1], [v = 0, u = 1, And(-2 < x,x < -1), And(x < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [-3/4, -3/4], [-2, -2]]]], [[6,
8, 3, 3, 2], [v = 0, u = 1, And(-2 < x,x < -1), And(x < y,y < 0), z = -(y-x)^(
1/2)], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [-3/4, -3/4], [-1816187/
2097152, -3632373/4194304]]]], [[6, 8, 3, 3, 3], [v = 0, u = 1, And(-2 < x,x <
-1), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[0, 0], [1, 1], [-3/2, -3/2], [-3/4, -3/4], [-1/8388608, -1/8388608]]]], [[6,
8, 3, 3, 4], [v = 0, u = 1, And(-2 < x,x < -1), And(x < y,y < 0), z = (y-x)^(1
/2)], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [-3/4, -3/4], [908093/
1048576, 454047/524288]]]], [[6, 8, 3, 3, 5], [v = 0, u = 1, And(-2 < x,x < -1
), And(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [-3/2,
-3/2], [-3/4, -3/4], [2, 2]]]], [[6, 10, 1, 5, 1], [v = 0, u = 2^(1/2), x < -3
, And(x < y,y < x+3), z < -(y-x)^(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 < y,y < x+3), z = -(y-x)^(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 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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 < y,y < x
+3), z = (y-x)^(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 < y,y < x+3), (y-x)^(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 < x, z = z], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/
1048576], [-3, -3], [-4, -4], [0, 0]]]], [[7, 5, 10, 9, 1], [And(0 < v,v < 1),
And(-(v^2+1)^(1/2) < u,u < -v), x = 1, u^2-v^2+2 < y, z < -(y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [4,
4], [-3, -3]]]], [[7, 5, 10, 9, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,
u < -v), x = 1, u^2-v^2+2 < y, 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, 9, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2)
< u,u < -v), x = 1, u^2-v^2+2 < y, 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, 9, 4], [And(0 < v,v < 1), And(-(v
^2+1)^(1/2) < u,u < -v), x = 1, u^2-v^2+2 < y, 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, 9, 5], [And(0 < v,v < 1),
And(-(v^2+1)^(1/2) < u,u < -v), x = 1, u^2-v^2+2 < y, (y-1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [4,
4], [3, 3]]]], [[7, 13, 11, 8, 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, 8, 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, 8, 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, 8, 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, 8,
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, 7, 2, 1], [v = 1, u = -3^(1/2), And(0 < x,x < 1), y = x-1,
z = z], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [1/2, 1
/2], [-1/2, -1/2], [0, 0]]]], [[8, 8, 3, 5, 1], [v = 1, u = 0, And(-2 < x,x <
-1), And(0 < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [0, 0], [
-3/2, -3/2], [1/4, 1/4], [-3, -3]]]], [[8, 8, 3, 5, 2], [v = 1, u = 0, And(-2
< x,x < -1), And(0 < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [
0, 0], [-3/2, -3/2], [1/4, 1/4], [-10837/8192, -1387135/1048576]]]], [[8, 8, 3
, 5, 3], [v = 1, u = 0, And(-2 < x,x < -1), And(0 < y,y < x+2), And(-(y-x)^(1/
2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [0, 0], [-3/2, -3/2], [1/4,
1/4], [0, 0]]]], [[8, 8, 3, 5, 4], [v = 1, u = 0, And(-2 < x,x < -1), And(0 <
y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-3/2, -3/2], [
1/4, 1/4], [1387135/1048576, 10837/8192]]]], [[8, 8, 3, 5, 5], [v = 1, u = 0,
And(-2 < x,x < -1), And(0 < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[1,
1], [0, 0], [-3/2, -3/2], [1/4, 1/4], [3, 3]]]], [[8, 10, 2, 4, 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, 4, 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, 4,
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, 4, 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, 4, 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, 5, 1], [v = 1, u = 3^(1/2)
, x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y <
0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = 0, z < -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [-10, -10], [0, 0], [-5, -5]]]], [[9, 1, 1, 8, 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, 8, 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, 8, 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, 8, 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,
6, 1], [And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x < 0), y = x+1, 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, 6, 2], [
And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x < 0), y = x+1, 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, 6, 3], [
And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x < 0), y = x+1, 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, 6, 4], [And(
1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x < 0), y = x+1, 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, 6, 5], [And(1 < v,v < 2^(1/2)),
u = -v, And(-1 < x,x < 0), y = x+1, 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, 7, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2),
x = -1, 1 < y, z < -(y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [-1, -1], [2, 2], [-3, -3]]]], [
[9, 8, 4, 7, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -1, 1 < y, z
= -(y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1417877/2097152, -354469/524288], [-1, -1], [2, 2], [-1816187/1048576, -\
3632373/2097152]]]], [[9, 8, 4, 7, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(
1/2), x = -1, 1 < y, 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], [-1/4194304, -1/4194304]]]], [[9, 8, 4, 7, 4], [And(1 < v,v < 2^(1
/2)), u = -(v^2-1)^(1/2), x = -1, 1 < y, z = (y+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-1, -1
], [2, 2], [908093/524288, 1816187/1048576]]]], [[9, 8, 4, 7, 5], [And(1 < v,v
< 2^(1/2)), u = -(v^2-1)^(1/2), x = -1, 1 < y, (y+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-1, -1], [2, 2], [3, 3]]]], [[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 < x+2), z < -(y-x)^(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, 5, 2], [And(1
< v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z
= -(y-x)^(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, 5, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(x
< y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 5, 4], [And(1 < v,v < 2^(1/2)), u = -(v
^2-1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z = (y-x)^(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, 5, 5], [And(1 < v,v <
2^(1/2)), u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), (y-x)^(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, 6, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 2, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-3
< x,x < -1), y = x-1, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [121853/65536, 1949649/1048576], [-2, -2], [-3, -3], [0, 0]]]], [[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-u^2+v^2+1 < y,y < x), 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 = 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v
= 2^(1/2), u = -v, x = 1, 2 < y, z < -(y-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [1, 1], [3, 3],
[-3, -3]]]], [[10, 6, 6, 7, 2], [v = 2^(1/2), u = -v, x = 1, 2 < y, 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, 7, 3], [v = 2^(1/2), u = -v, x = 1, 2 < y, 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, 7, 4], [v = 2
^(1/2), u = -v, x = 1, 2 < y, 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, 7, 5], [v = 2^(1/2), u = -v,
x = 1, 2 < y, (y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [1, 1], [3, 3], [3, 3]]]], [[10,
12, 1, 3, 1], [v = 2^(1/2), u = 1, x < -2, And(x < y,y < x+2), z < -(y-x)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3, -3], [-2,
-2], [-2, -2]]]], [[10, 12, 1, 3, 2], [v = 2^(1/2), u = 1, x < -2, And(x < y,y
< x+2), z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[1, 1], [-3, -3], [-2, -2], [-1, -1]]]], [[10, 12, 1, 3, 3], [v = 2^(1/2), u =
1, x < -2, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3, -3], [-2, -2],
[0, 0]]]], [[10, 12, 1, 3, 4], [v = 2^(1/2), u = 1, x < -2, And(x < y,y < x+2)
, z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1],
[-3, -3], [-2, -2], [1, 1]]]], [[10, 12, 1, 3, 5], [v = 2^(1/2), u = 1, x < -2
, And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [-3, -3], [-2, -2], [2, 2]]]], [[10, 13, 11, 6, 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], [1288231/524288, 2576463/1048576], [-2, -2]]]], [[10, 13, 11
, 6, 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], [1288231/524288, 2576463/1048576], [-1417877/2097152
, -354469/524288]]]], [[10, 13, 11, 6, 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], [
1288231/524288, 2576463/1048576], [0, 0]]]], [[10, 13, 11, 6, 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], [
1288231/524288, 2576463/1048576], [354469/524288, 708939/1048576]]]], [[10, 13
, 11, 6, 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], [1288231/524288, 2576463/1048576], [2, 2]]]], [[11,
2, 6, 5, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 0, And(0 < y,y < 3), z < -y
^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [0, 0],
[3/2, 3/2], [-3, -3]]]], [[11, 2, 6, 5, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2),
x = 0, And(0 < y,y < 3), 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, 5, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 0, And(0
< y,y < 3), 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, 5, 4],
[2^(1/2) < v, u = -(v^2+2)^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 5], [2^(1/2) < v, u = -
(v^2+2)^(1/2), x = 0, And(0 < y,y < 3), y^(1/2) < z], [regular_chain, [[3, 3],
[-1738867/524288, -3477733/1048576], [0, 0], [3/2, 3/2], [3, 3]]]], [[11, 4, 4
, 7, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -1, 1 < y, z < -(y+1)^(1/2)], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-1, -1], [2, 2], [
-3, -3]]]], [[11, 4, 4, 7, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -1, 1 < y
, z = -(y+1)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536
], [-1, -1], [2, 2], [-1816187/1048576, -3632373/2097152]]]], [[11, 4, 4, 7, 3
], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -1, 1 < y, And(-(y+1)^(1/2) < z,z < (
y+1)^(1/2))], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-1,
-1], [2, 2], [-1/4194304, -1/4194304]]]], [[11, 4, 4, 7, 4], [2^(1/2) < v, u =
-(v^2+1)^(1/2), x = -1, 1 < y, z = (y+1)^(1/2)], [regular_chain, [[3, 3], [-\
3315889/1048576, -207243/65536], [-1, -1], [2, 2], [908093/524288, 1816187/
1048576]]]], [[11, 4, 4, 7, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -1, 1 <
y, (y+1)^(1/2) < z], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536
], [-1, -1], [2, 2], [3, 3]]]], [[11, 10, 1, 5, 1], [2^(1/2) < v, u = -(v^2-2)
^(1/2), x < -3, And(x < y,y < x+3), z < -(y-x)^(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 < y,y < x+3
), z = -(y-x)^(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 < y,y < x+3), 
And(-(y-x)^(1/2) < z,z < (y-x)^(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 < y,y < x+3), z = (y-x)^(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 < y,y < x+3), (y-x)^(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 = x-u^2+v^2+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, 8, 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-u^2+v^2+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, 8, 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-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], [9/2, 9/2
], [29/2, 29/2], [0, 0]]]], [[11, 11, 9, 8, 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 = x-u^2+v^2+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, 8, 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 = x-u^2+v^2+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, 9, 1, 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], [-1, -1], [0, 0]]]], [[11, 17, 9, 9, 1], [2^(1
/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), u^2-v^2+x+1 < y, z <
-(y-x)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [1/2,
1/2], [3, 3], [-3, -3]]]], [[11, 17, 9, 9, 2], [2^(1/2) < v, And(v < u,u < (v^
2+1)^(1/2)), And(0 < x,x < 1), u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [1/2, 1/2], [3, 3], [-\
3315889/2097152, -207243/131072]]]], [[11, 17, 9, 9, 3], [2^(1/2) < v, And(v <
u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,
z < (y-x)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [1
/2, 1/2], [3, 3], [0, 0]]]], [[11, 17, 9, 9, 4], [2^(1/2) < v, And(v < u,u < (
v^2+1)^(1/2)), And(0 < x,x < 1), u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [1/2, 1/2], [3, 3], [
207243/131072, 1657945/1048576]]]], [[11, 17, 9, 9, 5], [2^(1/2) < v, And(v <
u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [1/2, 1/2], [3, 3], [3
, 3]]]], [[1, 1, 2, 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 = z], [regular_chain, [[-3, -3], [-5, -5], [-17, -17], [-\
33, -33], [0, 0]]]], [[1, 2, 7, 9, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(
0 < x,x < 1), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-1738867
/524288, -3477733/1048576], [1/2, 1/2], [5, 5], [-4, -4]]]], [[1, 2, 7, 9, 2],
[v < -2^(1/2), u = -(v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y, z = -(y-x)^(1/2)
], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [1/2, 1/2],
[5, 5], [-1112183/524288, -2224365/1048576]]]], [[1, 2, 7, 9, 3], [v < -2^(1/2
), u = -(v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-
x)^(1/2))], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [1
/2, 1/2], [5, 5], [0, 0]]]], [[1, 2, 7, 9, 4], [v < -2^(1/2), u = -(v^2+2)^(1/
2), And(0 < x,x < 1), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [1/2, 1/2], [5, 5], [2224365/1048576, 
1112183/524288]]]], [[1, 2, 7, 9, 5], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(0
< x,x < 1), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-1738867/
524288, -3477733/1048576], [1/2, 1/2], [5, 5], [4, 4]]]], [[1, 8, 5, 2, 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, 2, 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,
2, 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, 2, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2),
And(-3 < x,x < -1), y = x-1, z = z], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [-2, -2], [-3, -3], [0, 0]]]], [[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 = u^2-v^2+x+
1, z = z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [2, 2]
, [1564115/1048576, 391029/262144], [0, 0]]]], [[1, 15, 10, 3, 1], [v < -2^(1/
2), And((v^2-1)^(1/2) < u,u < -v), x = 1, And(0 < y,y < 1), z = z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1, 1], [1/2, 1/
2], [0, 0]]]], [[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(x-1 < y,y < x), z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-2, -2], [-4, -4], [-9/2, -9/2], [0, 0]]]], [[2, 9, 11, 7, 1]
, [v = -2^(1/2), And(-1 < u,u < 0), 1 < x, And(x < y,y < x-u^2+3), z < -(y-x)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [2,
2], [27/8, 27/8], [-3, -3]]]], [[2, 9, 11, 7, 2], [v = -2^(1/2), And(-1 < u,u
< 0), 1 < x, And(x < y,y < x-u^2+3), z = -(y-x)^(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, 7, 3], [v = -2^(1/2), And(-1
< u,u < 0), 1 < x, And(x < y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [2, 2]
, [27/8, 27/8], [0, 0]]]], [[2, 9, 11, 7, 4], [v = -2^(1/2), And(-1 < u,u < 0)
, 1 < x, And(x < y,y < x-u^2+3), z = (y-x)^(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, 7, 5], [v = -2^(1/2), And(-1 < u,u < 0), 1 <
x, And(x < y,y < x-u^2+3), (y-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [2, 2], [27/8, 27/8], [3, 3]]]], [[2,
11, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2),
x = 0, u^2-1 < y, z < -y^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [0, 0], [4, 4], [-3, -3]]]], [[2,
17, 6, 7, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 0, u^2-1 < y, z = -y^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152,
3913339/2097152], [0, 0], [4, 4], [-2, -2]]]], [[2, 17, 6, 7, 3], [v = -2^(1/2
), And(3^(1/2) < u,u < 2), x = 0, u^2-1 < y, 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, 7, 4], [v = -2^(1/2), And(3^(
1/2) < u,u < 2), x = 0, u^2-1 < y, z = y^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [0, 0], [4, 4],
[2, 2]]]], [[2, 17, 6, 7, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 0, u^
2-1 < y, y^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [0, 0], [4, 4], [3, 3]]]], [[2, 19, 3, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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 < 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-14373233/8388608, -14373233/8388608], [1, 1], [-1, -1], [0, 0]]]], [[3, 5
, 8, 7, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 0, u
^2-v^2+1 < y, z < -y^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [0, 0], [3, 3], [-3, -3]]]], [
[3, 5, 8, 7, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x =
0, u^2-v^2+1 < y, 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, 7, 3], [And(-2^(1/2) < v,v < -1), 
And(-(v^2+1)^(1/2) < u,u < v), x = 0, u^2-v^2+1 < y, 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, 7, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 0,
u^2-v^2+1 < y, 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, 7, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+
1)^(1/2) < u,u < v), x = 0, u^2-v^2+1 < y, y^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [0,
0], [3, 3], [3, 3]]]], [[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 < x, z = z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-\
450371/2097152, -450371/2097152], [-2, -2], [0, 0]]]], [[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(0 < y,y < x-u^2+v^2+1), z < -(y-x)^(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(0 < y,y < x-u^2+v^2+1), z = -(y-x)^(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(
0 < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(0 < y,y < x-u^2+v^2+1), z = (y-x
)^(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(0 < y,y < x-u^2+v^2+1), (y-x)^(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
= 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [1, 1], [0, 0], [0, 0]]]], [[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 < 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [775271/1048576, 775271/1048576], [-\
1, -1], [0, 0]]]], [[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], [248903/524288, 497807/
1048576], [-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], [248903/524288, 497807/
1048576], [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], [248903/524288, 497807/
1048576], [1, 1]]]], [[4, 5, 7, 3, 1], [v = -1, And(-2^(1/2) < u,u < -1), And(
u^2-2 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1, -\
1], [-1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/2097152],
[-35579/262144, -35579/262144], [-2, -2]]]], [[4, 5, 7, 3, 2], [v = -1, And(-2
^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v = -1, And(-2^(1/2) < u,u < -1), And(u^
2-2 < x,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-569265/
2097152, -569265/2097152], [-35579/262144, -35579/262144], [0, 0]]]], [[4, 5,
7, 3, 4], [v = -1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), And(x < y,y
< 0), z = (y-x)^(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, 3, 5], [v = -1, And(-2^(1/2) <
u,u < -1), And(u^2-2 < x,x < 0), And(x < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-569265/
2097152, -569265/2097152], [-35579/262144, -35579/262144], [2, 2]]]], [[4, 9,
10, 3, 1], [v = -1, And(0 < u,u < 1), x = 1, And(0 < y,y < 1), z = z], [
regular_chain, [[-1, -1], [1/2, 1/2], [1, 1], [1/2, 1/2], [0, 0]]]], [[4, 11,
10, 7, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = 1, And(-u^2+3 < y,y < u^2+1),
z < -(y-1)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [1, 1], [2, 2], [-2, -2]]]], [[4, 11, 10, 7, 2], [v = -1, And(1 < u,
u < 2^(1/2)), x = 1, And(-u^2+3 < y,y < u^2+1), z = -(y-1)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1, 1], [2, 2],
[-1, -1]]]], [[4, 11, 10, 7, 3], [v = -1, And(1 < u,u < 2^(1/2)), 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], [1265743/1048576, 1265743/1048576], [1, 1], [2, 2], [0, 0]]]], [[4,
11, 10, 7, 4], [v = -1, And(1 < u,u < 2^(1/2)), x = 1, And(-u^2+3 < y,y < u^2+
1), z = (y-1)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [1, 1], [2, 2], [1, 1]]]], [[4, 11, 10, 7, 5], [v = -1, And(1 < u,u
< 2^(1/2)), x = 1, And(-u^2+3 < y,y < u^2+1), (y-1)^(1/2) < z], [regular_chain
, [[-1, -1], [1265743/1048576, 1265743/1048576], [1, 1], [2, 2], [2, 2]]]], [[
5, 2, 1, 1, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x < -3, y < x-1, z = z
], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-4, -4], [-6, -6], [0, 0]]]],
[[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 = 0, z = z], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [1534619/2097152, 1534619/2097152], [0, 0], [0
, 0]]]], [[5, 12, 1, 2, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x < -3, y =
x-1, z = z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-4, -4], [-5, -5], [0
, 0]]]], [[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 < x-u^2+v^2+1, z = z], [regular_chain, [[-1/2, -1/2], [3, 3],
[35/8, 35/8], [-5, -5], [0, 0]]]], [[6, 5, 10, 6, 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, 6, 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
, 6, 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, 6, 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, 6, 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, 1, 1], [v
= 0, And(0 < u,u < 1), 1 < x, y < 0, z = z], [regular_chain, [[0, 0], [1/2, 1/
2], [2, 2], [-1, -1], [0, 0]]]], [[6, 11, 10, 3, 1], [v = 0, 2^(1/2) < u, x =
u^2-1, And(0 < y,y < u^2-1), z = z], [regular_chain, [[0, 0], [3, 3], [8, 8],
[4, 4], [0, 0]]]], [[7, 2, 5, 2, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), 
And(-1 < x,x < 0), y = x-1, z = z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2],
[-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[7, 8, 1, 3, 1], [And(0 < v,v < 1), u
= v, x < -1, And(x < y,y < x+1), z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2
], [1/2, 1/2], [-2, -2], [-3/2, -3/2], [-2, -2]]]], [[7, 8, 1, 3, 2], [And(0 <
v,v < 1), u = v, x < -1, And(x < y,y < x+1), z = -(y-x)^(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, 3, 3], [And(0 < v,v < 1), u = v, x < -1, And(x < y,y <
x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [1/
2, 1/2], [-2, -2], [-3/2, -3/2], [0, 0]]]], [[7, 8, 1, 3, 4], [And(0 < v,v < 1
), u = v, x < -1, And(x < y,y < x+1), z = (y-x)^(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, 3, 5], [And(0 < v,v < 1), u = v, x < -1, And(x < y,y < x+1), (y-x)^(1
/2) < z], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2, -2], [-3/2, -3/2], [2,
2]]]], [[7, 10, 1, 7, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x < -2, 0 < y,
z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/
131072], [-3, -3], [1, 1], [-3, -3]]]], [[7, 10, 1, 7, 2], [And(0 < v,v < 1),
u = (v^2+1)^(1/2), x < -2, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/
2], [1172343/1048576, 146543/131072], [-3, -3], [1, 1], [-2, -2]]]], [[7, 10,
1, 7, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x < -2, 0 < y, And(-(y-x)^(1/2
) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543
/131072], [-3, -3], [1, 1], [0, 0]]]], [[7, 10, 1, 7, 4], [And(0 < v,v < 1), u
= (v^2+1)^(1/2), x < -2, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2],
[1172343/1048576, 146543/131072], [-3, -3], [1, 1], [2, 2]]]], [[7, 10, 1, 7,
5], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x < -2, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-3, -3], [1, 1]
, [3, 3]]]], [[7, 10, 5, 1, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-1 <
x,x < 0), y < x, z = z], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543
/131072], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[7, 12, 3, 5, 1], [And(0 < v,v <
1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(x < y,y < 0), z < -(y-x)^(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
(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^
(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 < y,y < 0), z < -(y-
x)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-3/2,
-3/2], [-3/4, -3/4], [-2, -2]]]], [[8, 4, 3, 3, 2], [v = 1, u = -2^(1/2), And(
-2 < x,x < -1), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v = 1, u = -2^(1/2), And(-2
< x,x < -1), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [v = 1, u = -2^(1/2),
And(-2 < x,x < -1), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = 1, u = -2^(1/2), And(-2 < x
,x < -1), And(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-\
1482911/1048576, -741455/524288], [-3/2, -3/2], [-3/4, -3/4], [2, 2]]]], [[8,
6, 2, 2, 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, 2, 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, 2, 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, 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 <
y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(-1 < y,y < 0
), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [0, 0], [-1/2, -1/2], [0, 0]]]], [[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 < -(y
+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/
262144, -3287319/2097152], [-1, -1], [1/2, 1/2], [-3, -3]]]], [[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 = -
(y+1)^(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, 5, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x =
-1, And(0 < 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], [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 = (y+1)^(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, 5, 5], [And(1 <
v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -1, And(0 < y,y < 1), (y+1)^(1/2) < z]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -\
3287319/2097152], [-1, -1], [1/2, 1/2], [3, 3]]]], [[9, 12, 5, 7, 1], [And(1 <
v,v < 2^(1/2)), u = v, And(0 < x,x < 1), x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [3, 3], [-3, -3]]]], [[9, 12, 5, 7, 2], [And(1 < v,v < 2
^(1/2)), u = v, And(0 < x,x < 1), x+1 < y, z = -(y-x)^(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, 7, 3], [And(1
< v,v < 2^(1/2)), u = v, And(0 < x,x < 1), x+1 < y, And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [1/2, 1/2], [3, 3], [0, 0]]]], [[9, 12, 5, 7, 4], [
And(1 < v,v < 2^(1/2)), u = v, And(0 < x,x < 1), x+1 < y, z = (y-x)^(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,
7, 5], [And(1 < v,v < 2^(1/2)), u = v, And(0 < x,x < 1), x+1 < y, (y-x)^(1/2)
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 
1265743/1048576], [1/2, 1/2], [3, 3], [3, 3]]]], [[9, 14, 7, 1, 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], [-1, -1], [0, 0]]]], [[10, 2, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1, 1], [v = 2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), y <
x, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/
1048576, -3632373/2097152], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[10, 8, 8, 1,
1], [v = 2^(1/2), u = -1, x = 1, y < 0, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [1, 1], [-1, -1], [0, 0]]]], [[10, 10, 5,
6, 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, 6, 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, 6
, 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, 6, 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, 6, 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, 5, 1], [v = 2^(1/2), u = 3^(1/2), x < -2, And(x+2
< y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [908093/524288, 1816187/1048576], [-3, -3], [-1/2, -1/2], [-3, -3]]]
], [[10, 16, 1, 5, 2], [v = 2^(1/2), u = 3^(1/2), x < -2, And(x+2 < y,y < 0),
z = -(y-x)^(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, 5, 3], [v = 2^(1/2), u = 3^(1/2), x < -2, And(x+2 < y
,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-3, -3], [-1/2, -\
1/2], [0, 0]]]], [[10, 16, 1, 5, 4], [v = 2^(1/2), u = 3^(1/2), x < -2, And(x+
2 < y,y < 0), z = (y-x)^(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, 5, 5], [v = 2^(1/2), u = 3^(1/2), x
< -2, And(x+2 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [908093/524288, 1816187/1048576], [-3, -3], [-1/2, -1/2], [3
, 3]]]], [[10, 17, 11, 8, 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], [4699771/1048576, 1174943/
262144], [-3, -3]]]], [[10, 17, 11, 8, 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], [4699771/1048576
, 1174943/262144], [-825991/524288, -3303963/2097152]]]], [[10, 17, 11, 8, 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], [4699771/1048576, 1174943/262144],
[-1/4194304, -1/4194304]]]], [[10, 17, 11, 8, 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], [4699771
/1048576, 1174943/262144], [1651981/1048576, 825991/524288]]]], [[10, 17, 11,
8, 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], [4699771/1048576, 1174943/262144], [3, 3]]]], [[10,
18, 3, 1, 1], [v = 2^(1/2), u = 2, And(-3 < x,x < -1), y < x-1, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-2, -2], [-4, -4],
[0, 0]]]], [[10, 19, 11, 4, 1], [v = 2^(1/2), 2 < u, u^2-3 < x, y = x-u^2+3, z
= z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7, 7], [1, 1
], [0, 0]]]], [[11, 6, 1, 3, 1], [2^(1/2) < v, u = -v, x < -1, And(x < y,y < x
+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [-3/2, -3
/2], [-2, -2]]]], [[11, 6, 1, 3, 2], [2^(1/2) < v, u = -v, x < -1, And(x < y,y
< x+1), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [-3/2,
-3/2], [-1482911/2097152, -741455/1048576]]]], [[11, 6, 1, 3, 3], [2^(1/2) < v
, u = -v, x < -1, And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[3, 3], [-3, -3], [-2, -2], [-3/2, -3/2], [0, 0]]]], [[11, 6,
1, 3, 4], [2^(1/2) < v, u = -v, x < -1, And(x < y,y < x+1), z = (y-x)^(1/2)],
[regular_chain, [[3, 3], [-3, -3], [-2, -2], [-3/2, -3/2], [741455/1048576, 
46341/65536]]]], [[11, 6, 1, 3, 5], [2^(1/2) < v, u = -v, x < -1, And(x < y,y
< x+1), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [-3/2,
-3/2], [2, 2]]]], [[11, 8, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 2, 1], [2^(1/2) <
v, u = (v^2-2)^(1/2), x < -3, y = x-1, z = z], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [-4, -4], [-5, -5], [0, 0]]]], [[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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3]
, [1435023/524288, 1435023/524288], [1581613/2097152, 1581613/2097152], [
4211801/2097152, 4211801/2097152], [-3, -3]]]], [[11, 13, 9, 7, 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(x
< y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [1581613/2097152, 1581613/2097152], [4211801/2097152,
4211801/2097152], [-1174299/1048576, -587149/524288]]]], [[11, 13, 9, 7, 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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1581613/2097152, 
1581613/2097152], [4211801/2097152, 4211801/2097152], [0, 0]]]], [[11, 13, 9,
7, 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(x < y,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[3,
3], [1435023/524288, 1435023/524288], [1581613/2097152, 1581613/2097152], [
4211801/2097152, 4211801/2097152], [587149/524288, 1174299/1048576]]]], [[11,
13, 9, 7, 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(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1581613/2097152, 
1581613/2097152], [4211801/2097152, 4211801/2097152], [3, 3]]]], [[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 = x-u^2+v^2+1, z = z], [regular_chain, [[3, 3], [3396811/1048576,
3396811/1048576], [129511/524288, 129511/524288], [-259023/1048576, -129511/
524288], [0, 0]]]], [[11, 21, 4, 5, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -\
1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(
-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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, 4
< y, z < -(y-1)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [1, 1], [5, 5], [-3, -3]]]], [[1, 2, 8, 7, 2], [v < -2^(1/2), u = -(
v^2+2)^(1/2), x = 1, 4 < y, z = -(y-1)^(1/2)], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [1, 1], [5, 5], [-2, -2]]]], [[1, 2, 8, 7,
3], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = 1, 4 < y, 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, 7, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2)
, x = 1, 4 < y, z = (y-1)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288,
-3477733/1048576], [1, 1], [5, 5], [2, 2]]]], [[1, 2, 8, 7, 5], [v < -2^(1/2),
u = -(v^2+2)^(1/2), x = 1, 4 < y, (y-1)^(1/2) < z], [regular_chain, [[-3, -3],
[-1738867/524288, -3477733/1048576], [1, 1], [5, 5], [3, 3]]]], [[1, 8, 5, 3,
1], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z
< -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [-1/2, -1/2], [-1/4, -1/4], [-2, -2]]]], [[1, 8, 5, 3, 2], [v < -2^(
1/2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v < -2^(1/2), u = -(v^
2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x
)^(1/2))], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [
-1/2, -1/2], [-1/4, -1/4], [0, 0]]]], [[1, 8, 5, 3, 4], [v < -2^(1/2), u = -(v
^2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v < -2^(1/2), u = -(v^2-1)^(1/
2), And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-\
3, -3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [-1/4, -1/4], [2,
2]]]], [[1, 10, 3, 7, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-3 < x,x < -1
), And(0 < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-5548543
/2097152, -2774271/1048576], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[1, 10, 3, 7,
2], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3),
z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/
1048576], [-2, -2], [1/2, 1/2], [-3315889/2097152, -207243/131072]]]], [[1, 10
, 3, 7, 3], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-3 < x,x < -1), And(0 < y,y
< x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [-2, -2], [1/2, 1/2], [0, 0]]]], [[1, 10,
3, 7, 4], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-3 < x,x < -1), And(0 < y,y <
x+3), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271
/1048576], [-2, -2], [1/2, 1/2], [207243/131072, 1657945/1048576]]]], [[1, 10,
3, 7, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-3 < x,x < -1), And(0 < y,y <
x+3), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271
/1048576], [-2, -2], [1/2, 1/2], [3, 3]]]], [[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(x < y,y < x-u^2+v^2+1), z
< -(y-x)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288],
[2, 2], [1706123/524288, 1706123/524288], [-3, -3]]]], [[1, 13, 11, 7, 2], [v
< -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, And(x < y,y < x-u
^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [2, 2], [1706123/524288, 1706123/524288], [-1174299/1048576,
-587149/524288]]]], [[1, 13, 11, 7, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), 1 < x, And(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [2
, 2], [1706123/524288, 1706123/524288], [0, 0]]]], [[1, 13, 11, 7, 4], [v < -2
^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, And(x < y,y < x-u^2+v
^2+1), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [2, 2], [1706123/524288, 1706123/524288], [587149/524288, 1174299/
1048576]]]], [[1, 13, 11, 7, 5], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2
-1)^(1/2)), 1 < x, And(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [2, 2], [1706123/
524288, 1706123/524288], [3, 3]]]], [[1, 15, 11, 1, 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], [-1, -1], [0, 0]]]], [[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 < -y^
(1/2)], [regular_chain, [[-3, -3], [5, 5], [0, 0], [17/2, 17/2], [-4, -4]]]],
[[1, 21, 6, 5, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 0, And(0 < y,y < u^2-
v^2+1), z = -y^(1/2)], [regular_chain, [[-3, -3], [5, 5], [0, 0], [17/2, 17/2]
, [-24456785/8388608, -1528549/524288]]]], [[1, 21, 6, 5, 3], [v < -2^(1/2), (
v^2+2)^(1/2) < u, x = 0, And(0 < y,y < u^2-v^2+1), 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, 5, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 0, And(0 < y,y < u^2-v^2+1
), z = y^(1/2)], [regular_chain, [[-3, -3], [5, 5], [0, 0], [17/2, 17/2], [
1528549/524288, 3057099/1048576]]]], [[1, 21, 6, 5, 5], [v < -2^(1/2), (v^2+2)
^(1/2) < u, x = 0, And(0 < y,y < u^2-v^2+1), y^(1/2) < z], [regular_chain, [[-\
3, -3], [5, 5], [0, 0], [17/2, 17/2], [4, 4]]]], [[2, 2, 1, 8, 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,
8, 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, 8, 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, 8, 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, 8, 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, 2, 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,
5, 1], [v = -2^(1/2), And(0 < u,u < 1), x = -u^2+1, And(-u^2+1 < y,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], [17/8, 17/8], [-3, -3]]]], [[2, 11, 8, 5, 2], [v = -
2^(1/2), And(0 < u,u < 1), x = -u^2+1, And(-u^2+1 < y,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], [17/8, 17/8], [-1229565/1048576, -307391/262144]]]], [[2, 11, 8, 5
, 3], [v = -2^(1/2), And(0 < u,u < 1), x = -u^2+1, And(-u^2+1 < 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], [1/2, 1/2], [3/4, 3/4], [17/8, 17/8], [0, 0]]]], [[2
, 11, 8, 5, 4], [v = -2^(1/2), And(0 < u,u < 1), x = -u^2+1, And(-u^2+1 < y,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], [17/8, 17/8], [307391/262144, 1229565/
1048576]]]], [[2, 11, 8, 5, 5], [v = -2^(1/2), And(0 < u,u < 1), x = -u^2+1, 
And(-u^2+1 < y,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], [17/8, 17/8], [3, 3]]]], [[
2, 17, 5, 9, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), u^2
+x-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [3, 3], [-3, -3]]]]
, [[2, 17, 5, 9, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0),
u^2+x-1 < y, z = -(y-x)^(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, 9, 3], [v = -2^(1/2), And(3^(1/2) < u
,u < 2), And(-1 < x,x < 0), u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 
3913339/2097152], [-1/2, -1/2], [3, 3], [0, 0]]]], [[2, 17, 5, 9, 4], [v = -2^
(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), u^2+x-1 < y, z = (y-x)^(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, 9, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), u^
2+x-1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [3, 3], [3, 3]]]],
[[2, 19, 3, 5, 1], [v = -2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), And(x < y,y <
0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)
^(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-
u^2+v^2+1 < y,y < x), 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 = 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], [384703/262144, 1538813/
1048576], [-3, -3]]]], [[3, 5, 8, 6, 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], [384703/262144, 1538813/1048576], [-1270261/1048576,
-317565/262144]]]], [[3, 5, 8, 6, 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], [384703/262144, 1538813/1048576], [0, 0]]
]], [[3, 5, 8, 6, 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], [
384703/262144, 1538813/1048576], [317565/262144, 1270261/1048576]]]], [[3, 5,
8, 6, 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], [384703/262144
, 1538813/1048576], [3, 3]]]], [[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 < -u^2+v^2-1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-112593/262144, -450371/1048576], [-2, -2], [0, 0]]]], [[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 = 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, 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 =
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, 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 = 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, 10, 3, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,
u < (v^2+1)^(1/2)), x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [1, 1]
, [1/2, 1/2], [0, 0]]]], [[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 = 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, 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], [775271
/1048576, 775271/1048576], [775271/1048576, 775271/1048576], [0, 0]]]], [[3, 
15, 9, 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], [775271/1048576, 
775271/1048576], [775271/1048576, 775271/1048576], [1, 1]]]], [[4, 3, 8, 7, 1]
, [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2, 2*u^2-2 < y, z < -(y-u^2
+2)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [
248903/524288, 497807/1048576], [4, 4], [-3, -3]]]], [[4, 3, 8, 7, 2], [v = -1
, And(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2, 2*u^2-2 < y, z = -(y-u^2+2)^(1/2)
], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [248903/
524288, 497807/1048576], [4, 4], [-15750167/8388608, -7875083/4194304]]]], [[4
, 3, 8, 7, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2, 2*u^2-2 < y
, And(-(y-u^2+2)^(1/2) < z,z < (y-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [
-6598195/4194304, -6598195/4194304], [248903/524288, 497807/1048576], [4, 4],
[-3/8388608, -3/8388608]]]], [[4, 3, 8, 7, 4], [v = -1, And(-3^(1/2) < u,u < -
2^(1/2)), x = u^2-2, 2*u^2-2 < y, z = (y-u^2+2)^(1/2)], [regular_chain, [[-1,
-1], [-6598195/4194304, -6598195/4194304], [248903/524288, 497807/1048576], [4
, 4], [984385/524288, 1968771/1048576]]]], [[4, 3, 8, 7, 5], [v = -1, And(-3^(
1/2) < u,u < -2^(1/2)), x = u^2-2, 2*u^2-2 < y, (y-u^2+2)^(1/2) < z], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [248903/524288
, 497807/1048576], [4, 4], [3, 3]]]], [[4, 5, 8, 1, 1], [v = -1, And(-2^(1/2)
< u,u < -1), x = 0, y < 0, z = z], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [0, 0], [-1, -1], [0, 0]]]], [[4, 9, 10, 4, 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, 4, 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, 4, 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, 3, 1], [v = -1, And(1 < u,u < 2^(1/2)), 1 < x, And(0 < y,y < x), z = z], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [2, 2], [1, 1],
[0, 0]]]], [[5, 2, 1, 4, 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, 4, 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, 4, 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, 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 < -(y-x)^(1/2)],
[regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [1534619/
2097152, 1534619/2097152], [5, 5], [-4, -4]]]], [[5, 3, 9, 9, 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),
u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-v^2+x+1 < y, 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [1534619/2097152, 1534619/2097152], [5, 5], [0
, 0]]]], [[5, 3, 9, 9, 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), u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [
[-1/2, -1/2], [-343151/262144, -343151/262144], [1534619/2097152, 1534619/
2097152], [5, 5], [4, 4]]]], [[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-u^2+v^2+1, z = z], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [2, 2], [1611109
/1048576, 805555/524288], [0, 0]]]], [[5, 13, 8, 7, 1], [And(-1 < v,v < 0), (v
^2+2)^(1/2) < u, x = 1, And(1 < y,y < u^2-v^2+2), z < -(y-1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3, 3], [1, 1], [47/8, 47/8], [-4, -4]]]], [[5,
13, 8, 7, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = 1, And(1 < y,y < u^2-
v^2+2), 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, 7, 3], [And(-1 <
v,v < 0), (v^2+2)^(1/2) < u, x = 1, And(1 < y,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], [47/8, 
47/8], [0, 0]]]], [[5, 13, 8, 7, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x
= 1, And(1 < y,y < u^2-v^2+2), 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, 7, 5], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = 1, And(1 < y,y < u^2-v^2+
2), (y-1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3, 3], [1, 1], [47/8, 47
/8], [4, 4]]]], [[6, 5, 10, 1, 1], [v = 0, And(-1 < u,u < 0), x = 1, y < 0, z
= z], [regular_chain, [[0, 0], [-1/2, -1/2], [1, 1], [-1, -1], [0, 0]]]], [[6,
7, 10, 9, 1], [v = 0, And(0 < u,u < 1), x = 1, u^2+2 < y, z < -(y-1)^(1/2)], [
regular_chain, [[0, 0], [1/2, 1/2], [1, 1], [4, 4], [-3, -3]]]], [[6, 7, 10, 9
, 2], [v = 0, And(0 < u,u < 1), x = 1, u^2+2 < y, z = -(y-1)^(1/2)], [
regular_chain, [[0, 0], [1/2, 1/2], [1, 1], [4, 4], [-1816187/1048576, -\
3632373/2097152]]]], [[6, 7, 10, 9, 3], [v = 0, And(0 < u,u < 1), x = 1, u^2+2
< y, 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, 9, 4], [v = 0, 
And(0 < u,u < 1), x = 1, u^2+2 < y, z = (y-1)^(1/2)], [regular_chain, [[0, 0],
[1/2, 1/2], [1, 1], [4, 4], [908093/524288, 1816187/1048576]]]], [[6, 7, 10, 9
, 5], [v = 0, And(0 < u,u < 1), x = 1, u^2+2 < y, (y-1)^(1/2) < z], [
regular_chain, [[0, 0], [1/2, 1/2], [1, 1], [4, 4], [3, 3]]]], [[6, 11, 9, 5,
1], [v = 0, 2^(1/2) < u, And(1 < x,x < u^2-1), And(0 < y,y < x), 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 < -3^(1/2)], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1, -1], [2, 2], [-3, -3]]]], [[7,
2, 4, 8, 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, 8, 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
, 8, 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, 8, 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, 7, 11, 7, 1], [And(0 < v,v < 1), And(-v < u,u < v)
, 1 < x, And(u^2-v^2+x+1 < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [3, 3], [-2, -2]]]], [[7, 7, 11, 7
, 2], [And(0 < v,v < 1), And(-v < u,u < v), 1 < x, And(u^2-v^2+x+1 < y,y < x-u
^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [3,
3], [-1, -1]]]], [[7, 7, 11, 7, 3], [And(0 < v,v < 1), And(-v < u,u < v), 1 <
x, And(u^2-v^2+x+1 < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [3, 3], [0, 0]]]], [[7, 7, 11,
7, 4], [And(0 < v,v < 1), And(-v < u,u < v), 1 < x, And(u^2-v^2+x+1 < y,y < x-
u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [3,
3], [1, 1]]]], [[7, 7, 11, 7, 5], [And(0 < v,v < 1), And(-v < u,u < v), 1 < x,
And(u^2-v^2+x+1 < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[1/2,
1/2], [0, 0], [2, 2], [3, 3], [2, 2]]]], [[7, 10, 1, 6, 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
, 6, 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, 6, 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, 6, 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, 6, 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, 1, 1], [And(0 < v,v < 1), u
= (v^2+1)^(1/2), x = 0, y < 0, z = z], [regular_chain, [[1/2, 1/2], [1172343/
1048576, 146543/131072], [0, 0], [-1, -1], [0, 0]]]], [[7, 12, 3, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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
, 1, 1], [v = 1, u = -2^(1/2), x = -1, y < -1, z = z], [regular_chain, [[1, 1]
, [-1482911/1048576, -741455/524288], [-1, -1], [-2, -2], [0, 0]]]], [[8, 6, 2
, 3, 1], [v = 1, u = -1, x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0
), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 < 0, z = z], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [1/2, 1/2], [-1, -1]
, [0, 0]]]], [[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-1, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [1/2, 1/2], [-2, -2], [0, 0]]]
], [[9, 4, 4, 6, 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, 6,
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,
6, 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, 6, 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, 6,
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, 5, 6, 1], [And(1 < v,v < 2^(1
/2)), u = v, And(0 < x,x < 1), y = x+1, 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, 6, 2], [And(1 < v,v < 2^(1/2)), u = v, And(0
< x,x < 1), y = x+1, 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, 6, 3], [And(1 < v,v < 2^(1/2)), u = v, And(0 < x,x < 1), y =
x+1, 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, 6, 4], [And(1 < v,v < 2^(1/2)), u = v, And(0 < x,x < 1), y = x+1, 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, 6, 5], [And(1 < v,v
< 2^(1/2)), u = v, And(0 < x,x < 1), y = x+1, 1 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1
/2], [3/2, 3/2], [2, 2]]]], [[9, 14, 6, 1, 1], [And(1 < v,v < 2^(1/2)), u = (v
^2+1)^(1/2), x = 0, y < 0, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1643659/1048576, 410915/262144], [0, 0], [-1, -1], [0, 0]]]], [[10,
2, 6, 3, 1], [v = 2^(1/2), u = -2, x = 0, And(-1 < y,y < 0), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [0, 0], [-1/2, -1/
2], [0, 0]]]], [[10, 4, 4, 1, 1], [v = 2^(1/2), u = -3^(1/2), x = -1, y < -1,
z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576,
-3632373/2097152], [-1, -1], [-2, -2], [0, 0]]]], [[10, 8, 7, 7, 1], [v = 2^(1
/2), u = -1, And(0 < x,x < 1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2], [4, 4], [-3, -3]]]], [[
10, 8, 7, 7, 2], [v = 2^(1/2), u = -1, And(0 < x,x < 1), x+2 < y, z = -(y-x)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2]
, [4, 4], [-7846825/4194304, -980853/524288]]]], [[10, 8, 7, 7, 3], [v = 2^(1/
2), u = -1, And(0 < x,x < 1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2], [4, 4
], [0, 0]]]], [[10, 8, 7, 7, 4], [v = 2^(1/2), u = -1, And(0 < x,x < 1), x+2 <
y, z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -\
1], [1/2, 1/2], [4, 4], [980853/524288, 1961707/1048576]]]], [[10, 8, 7, 7, 5]
, [v = 2^(1/2), u = -1, And(0 < x,x < 1), x+2 < y, (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2], [4, 4]
, [3, 3]]]], [[10, 10, 5, 1, 1], [v = 2^(1/2), u = 0, And(-1 < x,x < 0), y < x
-1, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-1/2,
-1/2], [-3, -3], [0, 0]]]], [[10, 16, 1, 2, 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, 2, 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, 2, 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, 1, 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], [-1, -1], [0, 0]
]]], [[10, 18, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = 2^(1/2), 2 < u, u^2-3 < x, And(x-
u^2+3 < y,y < x), 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(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z <
(y+1)^(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(-1 < y,y < 0), z =
(y+1)^(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(-1 < y,y < 0), (y+1)^(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, z < 0], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [-3/2, -3/2], [-3/2, -3/2], [-1, -1]]]], [[11, 8,
3, 2, 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, 2, 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, 12, 1, 7, 1],
[2^(1/2) < v, u = (v^2-2)^(1/2), x < -3, And(x+3 < y,y < 0), z < -(y-x)^(1/2)]
, [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-4, -4], [-1/2, -1/
2], [-3, -3]]]], [[11, 12, 1, 7, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), x < -3,
And(x+3 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [-4, -4], [-1/2, -1/2], [-7846825/4194304, -980853/
524288]]]], [[11, 12, 1, 7, 3], [2^(1/2) < v, u = (v^2-2)^(1/2), x < -3, And(x
+3 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3]
, [2774271/1048576, 10837/4096], [-4, -4], [-1/2, -1/2], [0, 0]]]], [[11, 12,
1, 7, 4], [2^(1/2) < v, u = (v^2-2)^(1/2), x < -3, And(x+3 < y,y < 0), z = (y-
x)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-4, -4], [
-1/2, -1/2], [980853/524288, 1961707/1048576]]]], [[11, 12, 1, 7, 5], [2^(1/2)
< v, u = (v^2-2)^(1/2), x < -3, And(x+3 < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-4, -4], [-1/2, -1/2],
[3, 3]]]], [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)],
[regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1581613/2097152, 
1581613/2097152], [1710497/524288, 3420995/1048576], [-3, -3]]]], [[11, 13, 9,
8, 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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3]
, [1435023/524288, 1435023/524288], [1581613/2097152, 1581613/2097152], [
1710497/524288, 3420995/1048576], [-3321417/2097152, -415177/262144]]]], [[11,
13, 9, 8, 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-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], [
1581613/2097152, 1581613/2097152], [1710497/524288, 3420995/1048576], [0, 0]]]
], [[11, 13, 9, 8, 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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1581613/2097152, 
1581613/2097152], [1710497/524288, 3420995/1048576], [415177/262144, 1660709/
1048576]]]], [[11, 13, 9, 8, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z]
, [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1581613/2097152,
1581613/2097152], [1710497/524288, 3420995/1048576], [3, 3]]]], [[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 < -(y-x)^(1/2)], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [129511/524288, 129511/524288], [4, 4], [-3
, -3]]]], [[11, 19, 7, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511/524288, 
129511/524288], [4, 4], [-8125459/4194304, -16250917/8388608]]]], [[11, 19, 7,
9, 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), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511/524288, 
129511/524288], [4, 4], [-5/16777216, -5/16777216]]]], [[11, 19, 7, 9, 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),
u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576,
3396811/1048576], [129511/524288, 129511/524288], [4, 4], [507841/262144, 
2031365/1048576]]]], [[11, 19, 7, 9, 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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z],
[regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511/524288, 
129511/524288], [4, 4], [3, 3]]]], [[11, 21, 4, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 6, 3, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = 0,
And(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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 = x+1
, z < -1], [regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2], [3/2, 3/2], [-2, -\
2]]]], [[1, 6, 5, 6, 2], [v < -2^(1/2), u = v, And(0 < x,x < 1), y = x+1, z =
-1], [regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]],
[[1, 6, 5, 6, 3], [v < -2^(1/2), u = v, And(0 < x,x < 1), y = x+1, And(-1 < z,
z < 1)], [regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2], [3/2, 3/2], [0, 0]]]
], [[1, 6, 5, 6, 4], [v < -2^(1/2), u = v, And(0 < x,x < 1), y = x+1, z = 1],
[regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[1, 6
, 5, 6, 5], [v < -2^(1/2), u = v, And(0 < x,x < 1), y = x+1, 1 < z], [
regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[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 = 0, z = z], [regular_chain, [[-3, -3], [0, 0], [9, 9], [0, 0], [0,
0]]]], [[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 < -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], [3696261/2097152, 3696261/2097152], [-3, -3]]]], [[1,
13, 8, 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^2-1 < y,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], [3696261/2097152, 3696261/2097152], [-1174299/1048576, -\
587149/524288]]]], [[1, 13, 8, 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^2-1 < 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], [
1435023/524288, 1435023/524288], [133259/262144, 533037/1048576], [3696261/
2097152, 3696261/2097152], [0, 0]]]], [[1, 13, 8, 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^2-1 < y,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], [3696261/2097152, 
3696261/2097152], [587149/524288, 1174299/1048576]]]], [[1, 13, 8, 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
^2-1 < y,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], [3696261
/2097152, 3696261/2097152], [3, 3]]]], [[1, 17, 11, 1, 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], [-1, -1], [0, 0]]]], [[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 = -u^2+v^2
+2, z = z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [1,
1], [530531/1048576, 132633/262144], [0, 0]]]], [[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-u^2+3 < y,y < x), 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 = u^2-1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [0, 0], [773191/524288,
1546383/1048576], [-3, -3]]]], [[2, 5, 8, 6, 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], [
773191/524288, 1546383/1048576], [-636691/524288, -1273381/1048576]]]], [[2, 5
, 8, 6, 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], [773191/524288,
1546383/1048576], [0, 0]]]], [[2, 5, 8, 6, 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], [
773191/524288, 1546383/1048576], [1273381/1048576, 636691/524288]]]], [[2, 5,
8, 6, 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], [773191/524288, 1546383/1048576], [3, 3]]]
], [[2, 5, 11, 8, 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], [1821767/524288, 3643535/1048576
], [-3, -3]]]], [[2, 5, 11, 8, 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], [1821767/524288,
3643535/1048576], [-636691/524288, -1273381/1048576]]]], [[2, 5, 11, 8, 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], [1821767/524288, 3643535/1048576],
[0, 0]]]], [[2, 5, 11, 8, 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], [1821767/524288, 
3643535/1048576], [1273381/1048576, 636691/524288]]]], [[2, 5, 11, 8, 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], [1821767/524288, 3643535/1048576], [3, 3]]]], [[2, 8
, 1, 7, 1], [v = -2^(1/2), u = -1, x < -2, 0 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-3, -3], [1, 1]
, [-3, -3]]]], [[2, 8, 1, 7, 2], [v = -2^(1/2), u = -1, x < -2, 0 < y, z = -(y
-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-3
, -3], [1, 1], [-2, -2]]]], [[2, 8, 1, 7, 3], [v = -2^(1/2), u = -1, x < -2, 0
< y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [-3, -3], [1, 1], [0, 0]]]], [[2, 8, 1, 7,
4], [v = -2^(1/2), u = -1, x < -2, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [-1, -1], [-3, -3], [1, 1], [2, 2]]]], [[2,
8, 1, 7, 5], [v = -2^(1/2), u = -1, x < -2, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-3, -3], [1, 1]
, [3, 3]]]], [[2, 13, 6, 6, 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], [569265/524288, 1138531/1048576], [-3, -3]]]], [[2, 13, 6, 6, 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], [569265/524288, 1138531/1048576]
, [-1302471/1048576, -651235/524288]]]], [[2, 13, 6, 6, 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], [569265/524288,
1138531/1048576], [0, 0]]]], [[2, 13, 6, 6, 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], [569265/524288, 1138531/1048576], [651235/524288, 1302471/
1048576]]]], [[2, 13, 6, 6, 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
], [569265/524288, 1138531/1048576], [3, 3]]]], [[2, 15, 7, 7, 1], [v = -2^(1/
2), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), And(x-u^2+3 < y,y < u^2+x-1
), z < -(y-x)^(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, 7, 2], [v = -2^(1/2), And(
-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), And(x-u^2+3 < y,y < u^2+x-1), z = -
(y-x)^(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, 7, 3], [v = -2^(1/2), And(-v < u,u
< 3^(1/2)), And(u^2-3 < x,x < 0), And(x-u^2+3 < y,y < u^2+x-1), And(-(y-x)^(1/
2) < z,z < (y-x)^(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, 7, 4], [v = -2^(1/2),
And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), And(x-u^2+3 < y,y < u^2+x-1), z
= (y-x)^(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, 7, 5], [v = -2^(1/2), And(-v < u,u <
3^(1/2)), And(u^2-3 < x,x < 0), And(x-u^2+3 < y,y < u^2+x-1), (y-x)^(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, 5, 1], [v = -2^(1/2), 2 < u, x = 0, And(0 < y
,y < u^2-1), z < -y^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [3, 3], [0, 0], [4, 4], [-3, -3]]]], [[2, 19, 6, 5, 2], [v = -2^(1/2), 2 <
u, x = 0, And(0 < y,y < u^2-1), z = -y^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [0, 0], [4, 4], [-2, -2]]]], [[2, 19, 6, 5,
3], [v = -2^(1/2), 2 < u, x = 0, And(0 < y,y < u^2-1), 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, 5, 4], [v = -2^(1/2), 2 < u, x = 0, And(0 < y,y
< u^2-1), z = y^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3, 3], [0, 0], [4, 4], [2, 2]]]], [[2, 19, 6, 5, 5], [v = -2^(1/2), 2 < u, x =
0, And(0 < y,y < u^2-1), y^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [0, 0], [4, 4], [3, 3]]]], [[3, 2, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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 < -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,
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 < -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, 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 < -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, 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 < -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, 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 < -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, 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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [239655/
1048576, 239655/1048576], [2816117/1048576, 1408059/524288], [-3, -3]]]], [[3,
9, 7, 8, 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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [239655/1048576,
239655/1048576], [2816117/1048576, 1408059/524288], [-410915/262144, -3287319/
2097152]]]], [[3, 9, 7, 8, 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-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], [239655/1048576, 239655/1048576], [2816117/1048576,
1408059/524288], [-1/4194304, -1/4194304]]]], [[3, 9, 7, 8, 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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [239655/1048576, 239655/1048576], [2816117
/1048576, 1408059/524288], [1643659/1048576, 410915/262144]]]], [[3, 9, 7, 8,
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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [239655/1048576,
239655/1048576], [2816117/1048576, 1408059/524288], [3, 3]]]], [[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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [-1/2, -1/2], [8433585/1048576, 4216793/524288], [-4, -4]]]]
, [[3, 17, 5, 8, 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], [8433585/1048576, 4216793/
524288], [-1532401/524288, -24518415/8388608]]]], [[3, 17, 5, 8, 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], [8433585/1048576, 4216793/
524288], [-7/16777216, -7/16777216]]]], [[3, 17, 5, 8, 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], [8433585/1048576, 4216793/524288], [3064801/1048576, 1532401/524288]]]]
, [[3, 17, 5, 8, 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], [8433585/1048576, 4216793/
524288], [4, 4]]]], [[4, 2, 1, 2, 1], [v = -1, u = -3^(1/2), x < -3, y = x-1,
z = z], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-4,
-4], [-5, -5], [0, 0]]]], [[4, 7, 8, 1, 1], [v = -1, And(-1 < u,u < 0), x = 0,
y < 0, z = z], [regular_chain, [[-1, -1], [-1/2, -1/2], [0, 0], [-1, -1], [0,
0]]]], [[4, 9, 7, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 9, 7, 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), z < -(y-x)^(1/2)
], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [773191/
1048576, 773191/1048576], [4141339/2097152, 4141339/2097152], [-3, -3]]]], [[4
, 13, 9, 7, 2], [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), z = -(y-x)^(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, 7, 3], [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)
, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [3299097/
2097152, 3299097/2097152], [773191/1048576, 773191/1048576], [4141339/2097152,
4141339/2097152], [0, 0]]]], [[4, 13, 9, 7, 4], [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), z = (y-x)^(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, 7, 5], [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), (y-x)^(1/2) < z], [regular_chain, [[-1, -\
1], [3299097/2097152, 3299097/2097152], [773191/1048576, 773191/1048576], [
4141339/2097152, 4141339/2097152], [3, 3]]]], [[4, 15, 7, 1, 1], [v = -1, 3^(1
/2) < u, And(0 < x,x < 1), y < x-u^2+2, z = z], [regular_chain, [[-1, -1], [3,
3], [1/2, 1/2], [-8, -8], [0, 0]]]], [[5, 5, 8, 2, 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, 2, 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, 2, 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, 3, 1], [And(
-1 < v,v < 0), And(v < u,u < -v), And(0 < x,x < 1), And(0 < y,y < x), z = z],
[regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[5,
8, 1, 1, 1], [And(-1 < v,v < 0), u = -v, x < -1, y < x, z = z], [regular_chain
, [[-1/2, -1/2], [1/2, 1/2], [-2, -2], [-3, -3], [0, 0]]]], [[5, 10, 2, 2, 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, 2, 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, 2, 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, 3, 3, 1], [v = 0, u = -
2^(1/2), And(-3 < x,x < -1), And(x-1 < y,y < x), z = z], [regular_chain, [[0,
0], [-1482911/1048576, -741455/524288], [-2, -2], [-5/2, -5/2], [0, 0]]]], [[6
, 3, 11, 6, 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, 6, 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, 6, 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, 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 < -4, z = z], [regular_chain, [[0, 0], [741455/524288, 1482911
/1048576], [-3, -3], [-5, -5], [0, 0]]]], [[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-u^2+v^2+1 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)]
, [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [2, 2], [
3, 3], [-2, -2]]]], [[7, 5, 11, 7, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) <
u,u < -v), 1 < x, And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [2, 2], [3,
3], [-1, -1]]]], [[7, 5, 11, 7, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,
u < -v), 1 < x, And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [2, 2], [3, 3], [0, 0]]]], [[7, 5, 11, 7, 4], [And(0 < v,v < 1), And
(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z =
(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152
], [2, 2], [3, 3], [1, 1]]]], [[7, 5, 11, 7, 5], [And(0 < v,v < 1), And(-(v^2+
1)^(1/2) < u,u < -v), 1 < x, And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), (y-x)^(1/2)
< z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [2, 2
], [3, 3], [2, 2]]]], [[7, 13, 11, 7, 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 < -(y-x)^(1/2)], [regular_chain
, [[1/2, 1/2], [3, 3], [9, 9], [111/8, 111/8], [-4, -4]]]], [[7, 13, 11, 7, 2]
, [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 = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [9, 9], [111/8, 
111/8], [-1157597/524288, -2315193/1048576]]]], [[7, 13, 11, 7, 3], [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), And(-(y
-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3], [9, 9],
[111/8, 111/8], [0, 0]]]], [[7, 13, 11, 7, 4], [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 = (y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [3, 3], [9, 9], [111/8, 111/8], [2315193/1048576,
1157597/524288]]]], [[7, 13, 11, 7, 5], [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), (y-x)^(1/2) < z], [regular_chain, [
[1/2, 1/2], [3, 3], [9, 9], [111/8, 111/8], [4, 4]]]], [[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, z < 0], [regular_chain, [[1, 1], [0, 0],
[-3/2, -3/2], [-3/2, -3/2], [-1, -1]]]], [[8, 8, 3, 2, 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, 2, 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, 1, 4, 1], [v = 1, u = 1, x < -1, y = x+1, 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 = x+1, 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
= x+1, 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 = x+1, 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 = x+1, 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 = -1, z < 0], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1
, -1], [-1, -1], [-1, -1]]]], [[8, 14, 4, 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, 4, 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, 1, 3, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2
+2)^(1/2), x < -u^2+v^2-1, And(x-u^2+v^2+1 < y,y < x), z = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3, -3], [-10, -10], [-27832241/2097152,
-27832241/2097152], [0, 0]]]], [[9, 6, 3, 3, 1], [And(1 < v,v < 2^(1/2)), u =
-v, And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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, 3, 3], [And(1 < v,v < 2
^(1/2)), u = -v, And(-1 < x,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z <
(y-x)^(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,
3, 4], [And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x < 0), And(x < y,y < 0), z
= (y-x)^(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, 3, 5], [And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x < 0), And(x < y,y <
0), (y-x)^(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+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [-3/2, -3/2], [2, 2], [-3, -3]]]
], [[9, 8, 3, 7, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-2 < x,x
< -1), x+2 < y, z = -(y-x)^(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, 7, 3], [And(1 < v,v < 2^(1/2)), u = -(
v^2-1)^(1/2), And(-2 < x,x < -1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [-3/2, -3/2], [2, 2], [0, 0]]]], [[9, 8, 3, 7, 4], [And(1 < v,
v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), x+2 < y, z = (y-x)^(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, 7, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-2 < x,x < -1)
, x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [-3/2, -3/2], [2, 2], [3, 3]]]],
[[9, 8, 8, 5, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 1, And(1 <
y,y < 3), z < -(y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [1, 1], [2, 2], [-2, -2]]]], [[9
, 8, 8, 5, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 1, And(1 < y,y
< 3), z = -(y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-1417877/2097152, -354469/524288], [1, 1], [2, 2], [-1, -1]]]], [[9, 8, 8, 5,
3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 1, And(1 < y,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], [2, 2], [0, 0]]]], [[9,
8, 8, 5, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 1, And(1 < y,y <
3), z = (y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1417877/2097152, -354469/524288], [1, 1], [2, 2], [1, 1]]]], [[9, 8, 8, 5, 5],
[And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 1, And(1 < y,y < 3), (y-1)^(1
/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [1, 1], [2, 2], [2, 2]]]], [[9, 10, 7, 2, 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, 3, 7, 1], [And(1 < v,v < 2^(
1/2)), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), z < -(y-x)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 
1949649/1048576], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[9, 16, 3, 7, 2], [And(1
< v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), z
= -(y-x)^(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, 7, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And
(-3 < x,x < -1), And(0 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-2, -2], [1/2, 1/2], [0, 0]]]], [[9, 16, 3, 7, 4], [And(1 < v,v < 2
^(1/2)), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), z = (y-x)^
(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, 7, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-3 < x,x < -\
1), And(0 < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [121853/65536, 1949649/1048576], [-2, -2], [1/2, 1/2], [3, 3
]]]], [[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 = x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [3,
3], [8, 8], [8, 8], [-1, -1]]]], [[9, 17, 11, 6, 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, 6,
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, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 3, 1], [v = 2^(1/2), u = -v,
1 < x, And(0 < y,y < x), z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [2, 2], [1, 1], [0, 0]]]], [[10,
12, 2, 1, 1], [v = 2^(1/2), u = 1, x = -2, y < -2, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [-2, -2], [-3, -3], [0, 0]]]], [[10,
13, 11, 7, 1], [v = 2^(1/2), And(1 < u,u < v), 1 < x, And(u^2+x-1 < y,y < x-u^
2+3), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [2, 2], [3, 3], [-2, -2]]]], [[10, 13, 11,
7, 2], [v = 2^(1/2), And(1 < u,u < v), 1 < x, And(u^2+x-1 < y,y < x-u^2+3), z
= -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [2, 2], [3, 3], [-1, -1]]]], [[10, 13, 11, 7, 3], [
v = 2^(1/2), And(1 < u,u < v), 1 < x, And(u^2+x-1 < y,y < x-u^2+3), And(-(y-x)
^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576
], [1265743/1048576, 1265743/1048576], [2, 2], [3, 3], [0, 0]]]], [[10, 13, 11
, 7, 4], [v = 2^(1/2), And(1 < u,u < v), 1 < x, And(u^2+x-1 < y,y < x-u^2+3),
z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [2, 2], [3, 3], [1, 1]]]], [[10, 13, 11, 7, 5], [v
= 2^(1/2), And(1 < u,u < v), 1 < x, And(u^2+x-1 < y,y < x-u^2+3), (y-x)^(1/2)
< z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [2, 2], [3, 3], [2, 2]]]], [[11, 2, 6, 2, 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, 3, 7, 1], [2^
(1/2) < v, u = -(v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y, z < -(y-x)^(1/2)],
[regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [2,
2], [-3, -3]]]], [[11, 4, 3, 7, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-2 <
x,x < -1), x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-3315889/
1048576, -207243/65536], [-3/2, -3/2], [2, 2], [-7846825/4194304, -980853/
524288]]]], [[11, 4, 3, 7, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-2 < x,x
< -1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3
], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [2, 2], [0, 0]]]], [[11, 4
, 3, 7, 4], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y, z =
(y-x)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3/
2, -3/2], [2, 2], [980853/524288, 1961707/1048576]]]], [[11, 4, 3, 7, 5], [2^(
1/2) < v, u = -(v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y, (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [2, 2
], [3, 3]]]], [[11, 10, 1, 4, 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, 4, 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, 4, 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
, 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 < 0), z = z], [regular_chain, [[3, 3], [0
, 0], [9/2, 9/2], [-7/4, -7/4], [0, 0]]]], [[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 < -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, 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 < -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, 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 < -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,
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
< -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, 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 < -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, 2, 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, 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
= z], [regular_chain, [[-3, -3], [-5, -5], [-17, -17], [-49/2, -49/2], [0, 0]]
]], [[1, 2, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 = x+3, z <
-3^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-\
2, -2], [1, 1], [-3, -3]]]], [[1, 10, 3, 8, 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, 8, 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, 8, 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, 8, 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, 6, 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, 6,
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, 6, 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, 9, 1], [v < -2^(1/2),
And((v^2-1)^(1/2) < u,u < -v), x = 1, -u^2+v^2+2 < y, z < -(y-1)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1, 1], [4, 4],
[-3, -3]]]], [[1, 15, 10, 9, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
x = 1, -u^2+v^2+2 < y, z = -(y-1)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [1, 1], [4, 4], [-1816187/1048576, -3632373/2097152
]]]], [[1, 15, 10, 9, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 1,
-u^2+v^2+2 < y, 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, 9, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
x = 1, -u^2+v^2+2 < y, z = (y-1)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [1, 1], [4, 4], [908093/524288, 1816187/1048576]]]]
, [[1, 15, 10, 9, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 1, -u^
2+v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [1, 1], [4, 4], [3, 3]]]], [[1, 21, 6, 6, 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, 6
, 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, 6, 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, 6,
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, 6, 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, 9, 1], [v = -2^(1/2), u = -2, x < -3, 0
< y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
-2, -2], [-4, -4], [1, 1], [-4, -4]]]], [[2, 2, 1, 9, 2], [v = -2^(1/2), u = -\
2, x < -3, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-2, -2], [-4, -4], [1, 1], [-146543/65536, -2344687/1048576]]
]], [[2, 2, 1, 9, 3], [v = -2^(1/2), u = -2, x < -3, 0 < y, And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-2,
-2], [-4, -4], [1, 1], [0, 0]]]], [[2, 2, 1, 9, 4], [v = -2^(1/2), u = -2, x <
-3, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-2, -2], [-4, -4], [1, 1], [2344687/1048576, 146543/65536]]]], [[2,
2, 1, 9, 5], [v = -2^(1/2), u = -2, x < -3, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-4, -4], [1, 1]
, [4, 4]]]], [[2, 9, 11, 1, 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], [-1, -1], [0, 0]]]], [[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+3, z = z], [regular_chain, [[-1482911/1048576,
-741455/524288], [3913339/2097152, 3913339/2097152], [0, 0], [-2, -2], [0, 0]]
]], [[2, 19, 3, 6, 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, 6, 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, 6, 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
, 6, 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, 6, 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, 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-u^2+v^2+1, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [
775271/1048576, 775271/1048576], [273305/1048576, 136653/524288], [0, 0]]]], [
[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 < u^2-v^2+1), z < -y^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [0,
0], [1, 1], [-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 < u^2-v^2+1), z = -y^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [0, 0], [1, 1], [-1, -1]]]], [[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 < 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], [1, 1], [0, 0]
]]], [[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 < u^2-v^2+1), z = y^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [0,
0], [1, 1], [1, 1]]]], [[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 < u^2-v^2+1), y^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [0, 0], [1, 1], [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 = -u^2+v^2-1, z
< 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576,
987341/1048576], [-112593/262144, -450371/1048576], [-112593/262144, -450371/
1048576], [-1, -1]]]], [[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 = -u^2+v^2-1, z = 0], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-\
112593/262144, -450371/1048576], [-112593/262144, -450371/1048576], [0, 0]]]],
[[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 = -u^2+v^2-1, 0 < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-112593/262144, -450371/
1048576], [-112593/262144, -450371/1048576], [1, 1]]]], [[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(x < y,y < 0), z < -(y-x)^(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, 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(x < y,y < 0), z = -(y-x)^(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, 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(x < y,y < 0), And(-(y-x)^(1/2) < z,z
< (y-x)^(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, 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(x < y,y < 0)
, z = (y-x)^(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, 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(x < y,y < 0), (y-x)^(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, 4, 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, 4
, 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, 4, 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, 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 < -(y-x)^(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,
7, 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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 7, 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
(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 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(x < y,y < u^2-v^2+x+1), z =
(y-x)^(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, 7, 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(x < y,y < u^2-v^2+x+1), (y-x)^(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, 6, 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], [773191/262144, 3092765/1048576], [-3, -3]]]],
[[4, 3, 8, 6, 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], [773191/262144, 3092765/1048576], [-1649549/
1048576, -3299097/2097152]]]], [[4, 3, 8, 6, 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], [
773191/262144, 3092765/1048576], [-1/4194304, -1/4194304]]]], [[4, 3, 8, 6, 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], [773191/262144, 3092765/1048576], [412387/262144, 1649549/
1048576]]]], [[4, 3, 8, 6, 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], [773191/262144, 3092765/
1048576], [3, 3]]]], [[4, 5, 7, 9, 1], [v = -1, And(-2^(1/2) < u,u < -1), And(
u^2-2 < x,x < 0), u^2+x < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/2097152], [3, 3]
, [-3, -3]]]], [[4, 5, 7, 9, 2], [v = -1, And(-2^(1/2) < u,u < -1), And(u^2-2
< x,x < 0), u^2+x < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1265743
/1048576, -1265743/1048576], [-569265/2097152, -569265/2097152], [3, 3], [-\
7586297/4194304, -948287/524288]]]], [[4, 5, 7, 9, 3], [v = -1, And(-2^(1/2) <
u,u < -1), And(u^2-2 < x,x < 0), u^2+x < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/
2))], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-\
569265/2097152, -569265/2097152], [3, 3], [0, 0]]]], [[4, 5, 7, 9, 4], [v = -1
, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), u^2+x < y, z = (y-x)^(1/2)],
[regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-569265/
2097152, -569265/2097152], [3, 3], [948287/524288, 1896575/1048576]]]], [[4, 5
, 7, 9, 5], [v = -1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), u^2+x < y
, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-569265/2097152, -569265/2097152], [3, 3], [3, 3]]]], [[4, 9, 10, 5
, 1], [v = -1, And(0 < u,u < 1), x = 1, And(1 < y,y < u^2+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(1 < y,y < u^2+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(1 < 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], [9/8, 9/8], [0, 0]]]], [[4, 9, 
10, 5, 4], [v = -1, And(0 < u,u < 1), x = 1, And(1 < y,y < u^2+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(1 < y,y < u^2+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 = x, z < 0], [regular_chain, [[-1, -1], [1265743/1048576, 
1265743/1048576], [2, 2], [2, 2], [-1, -1]]]], [[4, 11, 11, 4, 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, 4,
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,
1, 3, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x < -3, And(x-1 < y,y < x),
z = z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-4, -4], [-9/2, -9/2], [
0, 0]]]], [[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 = 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], [3350503/1048576, 418813/131072], [-3, -3]]]], [[5,
3, 9, 8, 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], [3350503/1048576, 418813/131072], [-3291611/2097152
, -1645805/1048576]]]], [[5, 3, 9, 8, 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], [3350503/
1048576, 418813/131072], [0, 0]]]], [[5, 3, 9, 8, 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], [3350503/1048576, 418813/
131072], [1645805/1048576, 822903/524288]]]], [[5, 3, 9, 8, 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], [3350503/1048576
, 418813/131072], [3, 3]]]], [[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-u^2+v^2+1 < y,y < x), 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 < -(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, 8, 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, 8, 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, 8, 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, 8, 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, 9, 9, 1], [v = 0, And(-1 < u,u < 0), And(0 < x,x < 1), u^2+x+1 < y, z
< -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [1/2, 1/2], [3, 3], [-\
3, -3]]]], [[6, 5, 9, 9, 2], [v = 0, And(-1 < u,u < 0), And(0 < x,x < 1), u^2+
x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [1/2, 1/2],
[3, 3], [-3315889/2097152, -207243/131072]]]], [[6, 5, 9, 9, 3], [v = 0, And(-\
1 < u,u < 0), And(0 < x,x < 1), u^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1
/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [1/2, 1/2], [3, 3], [0, 0]]]], [
[6, 5, 9, 9, 4], [v = 0, And(-1 < u,u < 0), And(0 < x,x < 1), u^2+x+1 < y, z =
(y-x)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [1/2, 1/2], [3, 3], [
207243/131072, 1657945/1048576]]]], [[6, 5, 9, 9, 5], [v = 0, And(-1 < u,u < 0
), And(0 < x,x < 1), u^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[0, 0], [
-1/2, -1/2], [1/2, 1/2], [3, 3], [3, 3]]]], [[6, 7, 10, 8, 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, 8, 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, 8
, 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, 8, 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, 8, 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, 9, 6, 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, 6, 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, 6, 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,
9, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -1, 2 < y, z < -(y+1)^(1/2)]
, [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1, -1], [3, 3], [-3, -3]]]], [[
7, 2, 4, 9, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -1, 2 < y, z = -(y+
1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1, -1], [3, 3], [-2, -\
2]]]], [[7, 2, 4, 9, 3], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -1, 2 < y,
And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-3/2, -3
/2], [-1, -1], [3, 3], [0, 0]]]], [[7, 2, 4, 9, 4], [And(0 < v,v < 1), u = -(v
^2+2)^(1/2), x = -1, 2 < y, z = (y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3
/2, -3/2], [-1, -1], [3, 3], [2, 2]]]], [[7, 2, 4, 9, 5], [And(0 < v,v < 1), u
= -(v^2+2)^(1/2), x = -1, 2 < y, (y+1)^(1/2) < z], [regular_chain, [[1/2, 1/2]
, [-3/2, -3/2], [-1, -1], [3, 3], [3, 3]]]], [[7, 7, 11, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 10, 1, 5, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x < -2, 
And(x+2 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/
1048576, 146543/131072], [-3, -3], [-1/2, -1/2], [-3, -3]]]], [[7, 10, 1, 5, 2
], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x < -2, And(x+2 < y,y < 0), z = -(y-x
)^(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, 5, 3], [
And(0 < v,v < 1), u = (v^2+1)^(1/2), x < -2, And(x+2 < y,y < 0), And(-(y-x)^(1
/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [1172343/1048576, 
146543/131072], [-3, -3], [-1/2, -1/2], [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 < 0), z = (y-x)^(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, 5, 5], [And(0 < v,v <
1), u = (v^2+1)^(1/2), x < -2, And(x+2 < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-3, -3], [-1/2,
-1/2], [3, 3]]]], [[7, 10, 5, 7, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And
(-1 < x,x < 0), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [-1/2, -1/2], [3, 3], [-3, -3]]]], [[7, 10, 5
, 7, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, z =
-(y-x)^(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, 7, 3]
, [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, And(-(y-x)
^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [1172343/1048576, 
146543/131072], [-1/2, -1/2], [3, 3], [0, 0]]]], [[7, 10, 5, 7, 4], [And(0 < v
,v < 1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, z = (y-x)^(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, 7, 5], [And(0 < v,v < 1
), u = (v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-1/2, -1/2], [3
, 3], [3, 3]]]], [[7, 12, 3, 7, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(
-3 < x,x < -1), And(0 < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[1/2,
1/2], [3/2, 3/2], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[7, 12, 3, 7, 2], [And(0
< v,v < 1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), z = -(y
-x)^(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, 7, 3], [And(0 < v,v < 1), u =
(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-2, -2], [1/2, 1/2]
, [0, 0]]]], [[7, 12, 3, 7, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-3 <
x,x < -1), And(0 < y,y < x+3), z = (y-x)^(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, 7, 5], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(0 <
y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-2, -2
], [1/2, 1/2], [3, 3]]]], [[8, 4, 4, 2, 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, 2, 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, 2, 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, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 6, 3, 1], [v = 1, u = 1, x = 1, And(0 < y
,y < 1), z = z], [regular_chain, [[1, 1], [1, 1], [1, 1], [1/2, 1/2], [0, 0]]]
], [[8, 12, 6, 5, 1], [v = 1, u = 2^(1/2), x = 0, 2 < y, z < -y^(1/2)], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [0, 0], [3, 3], [-3,
-3]]]], [[8, 12, 6, 5, 2], [v = 1, u = 2^(1/2), x = 0, 2 < y, z = -y^(1/2)], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [0, 0], [3, 3], [-\
1816187/1048576, -3632373/2097152]]]], [[8, 12, 6, 5, 3], [v = 1, u = 2^(1/2),
x = 0, 2 < y, 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, 5, 4], [v = 1, u = 2^(1/2), x = 0, 2 < y, z = y^(1/2)], [regular_chain,
[[1, 1], [741455/524288, 1482911/1048576], [0, 0], [3, 3], [908093/524288, 
1816187/1048576]]]], [[8, 12, 6, 5, 5], [v = 1, u = 2^(1/2), x = 0, 2 < y, y^(
1/2) < z], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [0, 0],
[3, 3], [3, 3]]]], [[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-1, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3899297/2097152, -7798593/4194304], [1/2, 1/2], [-1/2, -1/
2], [0, 0]]]], [[9, 4, 4, 7, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2),
x = -1, 1 < y, z < -(y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-410915/262144, -3287319/2097152], [-1, -1], [2, 2], [-3, -3]]]], [
[9, 4, 4, 7, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -1, 1 < y, z
= -(y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915
/262144, -3287319/2097152], [-1, -1], [2, 2], [-1816187/1048576, -3632373/
2097152]]]], [[9, 4, 4, 7, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x
= -1, 1 < y, 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], [-1/4194304, -1/4194304]]]], [[9, 4, 4, 7, 4], [And(1 < v,v < 2^(1/2)), u
= -(v^2+1)^(1/2), x = -1, 1 < y, z = (y+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-1, -1], [2, 2
], [908093/524288, 1816187/1048576]]]], [[9, 4, 4, 7, 5], [And(1 < v,v < 2^(1/
2)), u = -(v^2+1)^(1/2), x = -1, 1 < y, (y+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-1, -1
], [2, 2], [3, 3]]]], [[9, 12, 5, 5, 1], [And(1 < v,v < 2^(1/2)), u = v, And(0
< x,x < 1), And(x < y,y < x+1), z < -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [1,
1], [-2, -2]]]], [[9, 12, 5, 5, 2], [And(1 < v,v < 2^(1/2)), u = v, And(0 < x,
x < 1), And(x < y,y < x+1), z = -(y-x)^(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, 5, 3], [And(1 < v,v <
2^(1/2)), u = v, And(0 < x,x < 1), And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743
/1048576, 1265743/1048576], [1/2, 1/2], [1, 1], [0, 0]]]], [[9, 12, 5, 5, 4],
[And(1 < v,v < 2^(1/2)), u = v, And(0 < x,x < 1), And(x < y,y < x+1), z = (y-x
)^(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, 5, 5], [And(1 < v,v < 2^(1/2)), u = v, And(0 < x,x < 1), And(x
< y,y < x+1), (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [1, 1], [2, 2]]]], [
[9, 14, 5, 7, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-1 < x,x < 0
), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1643659/1048576, 410915/262144], [-1/2, -1/2], [3, 3], [-3, -3]]]],
[[9, 14, 5, 7, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-1 < x,x <
0), x+2 < y, z = -(y-x)^(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, 7, 3], [And(1 < v,v < 2^(1/2)), u = (
v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2)
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 
410915/262144], [-1/2, -1/2], [3, 3], [0, 0]]]], [[9, 14, 5, 7, 4], [And(1 < v
,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, z = (y-x)^(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, 7, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-1 < x,x < 0),
x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [1643659/1048576, 410915/262144], [-1/2, -1/2], [3, 3], [3, 3]]]], [[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 < 0], [regular_chain, [[
741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-1, -1
], [-1, -1], [-1, -1]]]], [[10, 4, 4, 2, 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,
2, 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, 7, 6, 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, 6, 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, 6, 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, 6,
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, 6, 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,
9, 1], [v = 2^(1/2), u = 0, x = -1, 2 < y, z < -(y+1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [0, 0], [-1, -1], [3, 3], [-3, -3]]]], [[10
, 10, 4, 9, 2], [v = 2^(1/2), u = 0, x = -1, 2 < y, z = -(y+1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-1, -1], [3, 3], [-\
2, -2]]]], [[10, 10, 4, 9, 3], [v = 2^(1/2), u = 0, x = -1, 2 < y, And(-(y+1)^
(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576]
, [0, 0], [-1, -1], [3, 3], [0, 0]]]], [[10, 10, 4, 9, 4], [v = 2^(1/2), u = 0
, x = -1, 2 < y, z = (y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [0, 0], [-1, -1], [3, 3], [2, 2]]]], [[10, 10, 4, 9, 5], [v = 2^(1/2
), u = 0, x = -1, 2 < y, (y+1)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [-1, -1], [3, 3], [3, 3]]]], [[10, 16, 1, 3, 1], [v
= 2^(1/2), u = 3^(1/2), x < -2, And(x < y,y < x+2), z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-3, -3], [-2, -2], [-2, -2]]]], [[10, 16, 1, 3, 2], [v = 2^(1/2), u
= 3^(1/2), x < -2, And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-3, -3], [
-2, -2], [-1, -1]]]], [[10, 16, 1, 3, 3], [v = 2^(1/2), u = 3^(1/2), x < -2, 
And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-3, -3], [
-2, -2], [0, 0]]]], [[10, 16, 1, 3, 4], [v = 2^(1/2), u = 3^(1/2), x < -2, And
(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [908093/524288, 1816187/1048576], [-3, -3], [-2, -2], [1, 1]]]], [[
10, 16, 1, 3, 5], [v = 2^(1/2), u = 3^(1/2), x < -2, And(x < y,y < x+2), (y-x)
^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288
, 1816187/1048576], [-3, -3], [-2, -2], [2, 2]]]], [[10, 17, 11, 2, 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, 7, 1], [v = 2^(1/2), u = 2, And(-3 < x,x < -1), And(0
< y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[10, 18, 3, 7, 2], [v =
2^(1/2), u = 2, And(-3 < x,x < -1), And(0 < y,y < x+3), z = -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-2, -2], [1/2, 1/2]
, [-3315889/2097152, -207243/131072]]]], [[10, 18, 3, 7, 3], [v = 2^(1/2), u =
2, And(-3 < x,x < -1), And(0 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-2, -2], [1/2
, 1/2], [0, 0]]]], [[10, 18, 3, 7, 4], [v = 2^(1/2), u = 2, And(-3 < x,x < -1)
, And(0 < y,y < x+3), z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [2, 2], [-2, -2], [1/2, 1/2], [207243/131072, 1657945/
1048576]]]], [[10, 18, 3, 7, 5], [v = 2^(1/2), u = 2, And(-3 < x,x < -1), And(
0 < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [-2, -2], [1/2, 1/2], [3, 3]]]], [[10, 19, 11, 6, 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, 6, 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, 6, 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, 2, 2, 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, 2, 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, 2, 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, 1
, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y < x, z = z], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2], [
-3, -3], [0, 0]]]], [[11, 12, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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), x-
u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [1581613/2097152, 1581613/2097152], [5, 5], [-4, -4]]]], [[11
, 13, 9, 9, 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), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[3,
3], [1435023/524288, 1435023/524288], [1581613/2097152, 1581613/2097152], [5,
5], [-1080317/524288, -2160633/1048576]]]], [[11, 13, 9, 9, 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), x-u^2+v^2
+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [1581613/2097152, 1581613/2097152], [5, 5], [
0, 0]]]], [[11, 13, 9, 9, 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), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1581613/2097152, 
1581613/2097152], [5, 5], [2160633/1048576, 1080317/524288]]]], [[11, 13, 9, 9
, 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), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [1435023
/524288, 1435023/524288], [1581613/2097152, 1581613/2097152], [5, 5], [4, 4]]]
], [[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 < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511/524288, 
129511/524288], [1437109/524288, 2874219/1048576], [-3, -3]]]], [[11, 19, 7, 8
, 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], [1437109/
524288, 2874219/1048576], [-1655969/1048576, -3311937/2097152]]]], [[11, 19, 7
, 8, 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], [1437109/524288, 2874219/1048576], [-1/4194304, -1/4194304]]
]], [[11, 19, 7, 8, 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], [1437109/524288, 2874219/1048576], [51749/32768, 1655969/
1048576]]]], [[11, 19, 7, 8, 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], [1437109/524288, 2874219/1048576], [3, 3]]]], [[11, 21, 4, 7,
1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < u^2-v^2), z < -(y+1
)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-1, -1], [8, 8], [-4, -4]]]], [[11
, 21, 4, 7, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < u^2-v^2
), z = -(y+1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-1, -1], [8, 8], [-3,
-3]]]], [[11, 21, 4, 7, 3], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -1, And(0 < y
,y < u^2-v^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[3, 3]
, [5, 5], [-1, -1], [8, 8], [0, 0]]]], [[11, 21, 4, 7, 4], [2^(1/2) < v, (v^2+
2)^(1/2) < u, x = -1, And(0 < y,y < u^2-v^2), z = (y+1)^(1/2)], [regular_chain
, [[3, 3], [5, 5], [-1, -1], [8, 8], [3, 3]]]], [[11, 21, 4, 7, 5], [2^(1/2) <
v, (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < u^2-v^2), (y+1)^(1/2) < z], [
regular_chain, [[3, 3], [5, 5], [-1, -1], [8, 8], [4, 4]]]], [[1, 4, 6, 2, 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
, 2, 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, 2, 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, 5, 1], [v < -2^(1/2), u = v, And(0 < x,x < 1), And
(x < y,y < x+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [1/2,
1/2], [1, 1], [-2, -2]]]], [[1, 6, 5, 5, 2], [v < -2^(1/2), u = v, And(0 < x,x
< 1), And(x < y,y < x+1), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-3, -\
3], [1/2, 1/2], [1, 1], [-1482911/2097152, -741455/1048576]]]], [[1, 6, 5, 5,
3], [v < -2^(1/2), u = v, And(0 < x,x < 1), And(x < y,y < x+1), And(-(y-x)^(1/
2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2], [1,
1], [0, 0]]]], [[1, 6, 5, 5, 4], [v < -2^(1/2), u = v, And(0 < x,x < 1), And(x
< y,y < x+1), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2
], [1, 1], [741455/1048576, 46341/65536]]]], [[1, 6, 5, 5, 5], [v < -2^(1/2),
u = v, And(0 < x,x < 1), And(x < y,y < x+1), (y-x)^(1/2) < z], [regular_chain,
[[-3, -3], [-3, -3], [1/2, 1/2], [1, 1], [2, 2]]]], [[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(0 < y,
y < u^2-v^2+x+1), z = z], [regular_chain, [[-3, -3], [0, 0], [9, 9], [1/2, 1/2
], [0, 0]]]], [[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 = -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], [395403/131072, 3163225/1048576], [-3, -3]]]], [[1, 13, 8, 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
= -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], [395403/131072, 
3163225/1048576], [-3321417/2097152, -415177/262144]]]], [[1, 13, 8, 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 = -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]
, [395403/131072, 3163225/1048576], [0, 0]]]], [[1, 13, 8, 6, 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], [395403/131072, 3163225/1048576], [
415177/262144, 1660709/1048576]]]], [[1, 13, 8, 6, 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], [395403/131072, 3163225/1048576], [3, 3]]]], [
[1, 17, 10, 9, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = 1, u^2-v^
2+2 < y, z < -(y-1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [1, 1], [4, 4], [-3, -3]]]], [[1, 17, 10, 9, 2], [v < -2^(1/2), And(-
v < u,u < (v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y, z = -(y-1)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1, 1], [4, 4], [-\
1816187/1048576, -3632373/2097152]]]], [[1, 17, 10, 9, 3], [v < -2^(1/2), And(
-v < u,u < (v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y, 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, 9, 4], [v < -2^(1/2), And(-v
< u,u < (v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y, z = (y-1)^(1/2)], [regular_chain
, [[-3, -3], [403851/131072, 403851/131072], [1, 1], [4, 4], [908093/524288, 
1816187/1048576]]]], [[1, 17, 10, 9, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)
^(1/2)), x = 1, u^2-v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [1, 1], [4, 4], [3, 3]]]], [[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(0 < y,y <
-u^2+v^2+2), z = z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [1, 1], [530531/2097152, 530531/2097152], [0, 0]]]], [[2, 3, 9, 6, 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, 6, 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, 6, 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, 8, 7, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v),
x = 0, u^2-1 < y, z < -y^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [0, 0], [3, 3], [-3, -3]]]], [[
2, 5, 8, 7, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 0, u^2-1 < y, 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, 7, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 0,
u^2-1 < y, 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, 7, 4], [v = -2^(1/2), And(-3^(1/2) < u,u <
v), x = 0, u^2-1 < y, 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, 7, 5], [v = -2^(1/2), And(-3^(1/2) < u
,u < v), x = 0, u^2-1 < y, y^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [0, 0], [3, 3], [3, 3]]]
], [[2, 5, 11, 7, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), 1 < x, And(x-u^2
+3 < y,y < u^2+x-1), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [2, 2], [3, 3], [-2, -2]
]]], [[2, 5, 11, 7, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), 1 < x, And(x-u
^2+3 < y,y < u^2+x-1), z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-6598195/4194304, -6598195/4194304], [2, 2], [3, 3], [-1, -1
]]]], [[2, 5, 11, 7, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), 1 < x, And(x-
u^2+3 < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [
2, 2], [3, 3], [0, 0]]]], [[2, 5, 11, 7, 4], [v = -2^(1/2), And(-3^(1/2) < u,u
< v), 1 < x, And(x-u^2+3 < y,y < u^2+x-1), z = (y-x)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [2,
2], [3, 3], [1, 1]]]], [[2, 5, 11, 7, 5], [v = -2^(1/2), And(-3^(1/2) < u,u <
v), 1 < x, And(x-u^2+3 < y,y < u^2+x-1), (y-x)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [2, 2]
, [3, 3], [2, 2]]]], [[2, 8, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = -2^(1/2), And(1 < u,u < -v), x = -u^2+1,
-2*u^2+4 < y, 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, 7, 2], [v = -2^(1/2), And(1 < u,u <
-v), x = -u^2+1, -2*u^2+4 < y, 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, 7, 3], [v = -2^(1/2), And(1 < u,u < -v), x = -u^2+1, -2*u^2+4 < y, 
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, 7, 4], [v
= -2^(1/2), And(1 < u,u < -v), x = -u^2+1, -2*u^2+4 < y, 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, 7, 5], [v = -2^(1/2), And(1 < u,u < -v), x = -u^2+1,
-2*u^2+4 < y, (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, 7, 8, 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], [317749/262144, 1270997/1048576]
, [-3, -3]]]], [[2, 15, 7, 8, 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], [317749/262144, 1270997/1048576], [-1273381/1048576
, -318345/262144]]]], [[2, 15, 7, 8, 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], [317749/262144, 1270997/
1048576], [0, 0]]]], [[2, 15, 7, 8, 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], [317749/262144, 1270997/1048576], [318345/262144,
1273381/1048576]]]], [[2, 15, 7, 8, 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], [317749/262144, 1270997/1048576], [3, 3]]]], [[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+3 < y,y
< 0), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-3899297/2097152, -7798593/4194304], [-4, -4], [-1/2, -1/2], [-3, -3]]]], [
[3, 2, 1, 7, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x < -3, And(x+
3 < y,y < 0), z = -(y-x)^(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, 7, 3], [And(-2^(1/2) < v,v < -\
1), u = -(v^2+2)^(1/2), x < -3, And(x+3 < y,y < 0), And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297
/2097152, -7798593/4194304], [-4, -4], [-1/2, -1/2], [0, 0]]]], [[3, 2, 1, 7,
4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x < -3, And(x+3 < y,y < 0),
z = (y-x)^(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, 7, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)
^(1/2), x < -3, And(x+3 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-4,
-4], [-1/2, -1/2], [3, 3]]]], [[3, 7, 8, 6, 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], [1646781/1048576, 823391/524288], [-3, -3]]]], [[3,
7, 8, 6, 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], [1646781/
1048576, 823391/524288], [-1314069/1048576, -328517/262144]]]], [[3, 7, 8, 6,
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], [1646781/1048576, 823391/524288], [0, 0]]]], [[3, 7, 8, 6, 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], [1646781/1048576, 823391/524288],
[328517/262144, 1314069/1048576]]]], [[3, 7, 8, 6, 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], [1646781/1048576, 823391/524288], [3, 3]]]], [[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), x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [239655/1048576,
239655/1048576], [4, 4], [-3, -3]]]], [[3, 9, 7, 9, 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), x-u
^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [239655/1048576, 239655/1048576], [4, 4], [-32581713/
16777216, -2036357/1048576]]]], [[3, 9, 7, 9, 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), x-u^2+v^
2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [239655/1048576, 239655/1048576], [4, 4],
[0, 0]]]], [[3, 9, 7, 9, 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), x-u^2+v^2+1 < y, z = (y-x)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [239655/
1048576, 239655/1048576], [4, 4], [2036357/1048576, 1018179/524288]]]], [[3, 9
, 7, 9, 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), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [239655/1048576,
239655/1048576], [4, 4], [3, 3]]]], [[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 < -(y-x)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1/2, -1/2], [
10, 10], [-5, -5]]]], [[3, 17, 5, 9, 2], [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 = -(y-x)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1/2, -1/2], [10, 10], [-\
3397775/1048576, -1698887/524288]]]], [[3, 17, 5, 9, 3], [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, And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3
, 3], [-1/2, -1/2], [10, 10], [0, 0]]]], [[3, 17, 5, 9, 4], [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 = (y-x)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1/2, -1/2
], [10, 10], [1698887/524288, 3397775/1048576]]]], [[3, 17, 5, 9, 5], [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, (y-x
)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [
-1/2, -1/2], [10, 10], [5, 5]]]], [[4, 2, 1, 3, 1], [v = -1, u = -3^(1/2), x <
-3, And(x-1 < y,y < x), z = z], [regular_chain, [[-1, -1], [-1816187/1048576,
-3632373/2097152], [-4, -4], [-9/2, -9/2], [0, 0]]]], [[4, 7, 7, 9, 1], [v = -\
1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), x-u^2+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8], [3, 3], [-3, -3]]]], [[4
, 7, 7, 9, 2], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), x-u^2+2 < y, z
= -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8], [3, 3]
, [-7414553/4194304, -926819/524288]]]], [[4, 7, 7, 9, 3], [v = -1, And(-1 < u
,u < 0), And(-u^2 < x,x < 0), x-u^2+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8], [3, 3], [0, 0]]]],
[[4, 7, 7, 9, 4], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), x-u^2+2 < y
, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8], [3,
3], [926819/524288, 1853639/1048576]]]], [[4, 7, 7, 9, 5], [v = -1, And(-1 < u
,u < 0), And(-u^2 < x,x < 0), x-u^2+2 < y, (y-x)^(1/2) < z], [regular_chain, [
[-1, -1], [-1/2, -1/2], [-1/8, -1/8], [3, 3], [3, 3]]]], [[4, 9, 7, 3, 1], [v
= -1, And(0 < u,u < 1), And(-u^2 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(1/2
)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8], [-1/16, -1/16], [-2,
-2]]]], [[4, 9, 7, 3, 2], [v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 0), And(
x < y,y < 0), z = -(y-x)^(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, 3, 3], [v = -1, And(0 < u,u
< 1), And(-u^2 < x,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1
/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8], [-1/16, -1/16], [0
, 0]]]], [[4, 9, 7, 3, 4], [v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 0), And
(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = -1, And(0 < u,u <
1), And(-u^2 < x,x < 0), And(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [
[-1, -1], [1/2, 1/2], [-1/8, -1/8], [-1/16, -1/16], [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 = u^2+x, z
< -u], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [773191/
1048576, 773191/1048576], [842037/262144, 3368149/1048576], [-3, -3]]]], [[4,
13, 9, 8, 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], [842037/262144, 3368149/1048576], [-3299097/
2097152, -3299097/2097152]]]], [[4, 13, 9, 8, 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
], [842037/262144, 3368149/1048576], [-1/4194304, -1/4194304]]]], [[4, 13, 9,
8, 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], [842037/262144, 3368149/1048576], [412387/262144, 
1649549/1048576]]]], [[4, 13, 9, 8, 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], [842037/262144, 
3368149/1048576], [3, 3]]]], [[4, 15, 7, 2, 1], [v = -1, 3^(1/2) < u, And(0 <
x,x < 1), y = x-u^2+2, z = z], [regular_chain, [[-1, -1], [3, 3], [1/2, 1/2],
[-13/2, -13/2], [0, 0]]]], [[5, 5, 8, 1, 1], [And(-1 < v,v < 0), And(-(v^2+1)^
(1/2) < u,u < v), x = 0, y < 0, z = z], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [0, 0], [-1, -1], [0, 0]]]], [[5, 7, 9, 2,
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, 8, 1
, 2, 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, 2, 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, 2, 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, 10, 2, 3, 1], [And(-1 < v,v < 0), u = (v
^2+1)^(1/2), x = -2, And(-2 < y,y < 0), z < -(y+2)^(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(-2 < y,y
< 0), z = -(y+2)^(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(-2 < y,y < 0), And(-(y+2)^(1/2) < z,z
< (y+2)^(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(-2 < y,y < 0), z = (y+2)^(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(-2 <
y,y < 0), (y+2)^(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-1, z = z], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [-2, -2], [-3, -3], [0, 0]]]], [[6, 3, 11, 5
, 1], [v = 0, And(-2^(1/2) < u,u < -1), 1 < x, And(x-u^2+1 < y,y < x), z = z],
[regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [2, 2], [
1857497/1048576, 1857497/1048576], [0, 0]]]], [[6, 8, 3, 5, 1], [v = 0, u = 1,
And(-2 < x,x < -1), And(0 < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[0
, 0], [1, 1], [-3/2, -3/2], [1/4, 1/4], [-3, -3]]]], [[6, 8, 3, 5, 2], [v = 0,
u = 1, And(-2 < x,x < -1), And(0 < y,y < x+2), z = -(y-x)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [1/4, 1/4], [-10837/8192, -\
1387135/1048576]]]], [[6, 8, 3, 5, 3], [v = 0, u = 1, And(-2 < x,x < -1), And(
0 < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0
], [1, 1], [-3/2, -3/2], [1/4, 1/4], [0, 0]]]], [[6, 8, 3, 5, 4], [v = 0, u =
1, And(-2 < x,x < -1), And(0 < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [
[0, 0], [1, 1], [-3/2, -3/2], [1/4, 1/4], [1387135/1048576, 10837/8192]]]], [[
6, 8, 3, 5, 5], [v = 0, u = 1, And(-2 < x,x < -1), And(0 < y,y < x+2), (y-x)^(
1/2) < z], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [1/4, 1/4], [3, 3]]]
], [[6, 10, 2, 2, 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, 1, 3, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x < -2, 
And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/
131072, -1172343/1048576], [-3, -3], [-2, -2], [-2, -2]]]], [[7, 4, 1, 3, 2],
[And(0 < v,v < 1), u = -(v^2+1)^(1/2), x < -2, And(x < y,y < x+2), z = -(y-x)^
(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3,
-3], [-2, -2], [-1, -1]]]], [[7, 4, 1, 3, 3], [And(0 < v,v < 1), u = -(v^2+1)^
(1/2), x < -2, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3, -3], [-2,
-2], [0, 0]]]], [[7, 4, 1, 3, 4], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x < -\
2, And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543
/131072, -1172343/1048576], [-3, -3], [-2, -2], [1, 1]]]], [[7, 4, 1, 3, 5], [
And(0 < v,v < 1), u = -(v^2+1)^(1/2), x < -2, And(x < y,y < x+2), (y-x)^(1/2)
< z], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3, -3
], [-2, -2], [2, 2]]]], [[7, 5, 11, 6, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/
2) < u,u < -v), 1 < x, y = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [2, 2], [
1360785/524288, 2721571/1048576], [-2, -2]]]], [[7, 5, 11, 6, 2], [And(0 < v,v
< 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y = x-u^2+v^2+1, z = -(-u^2+v^2+1
)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [
2, 2], [1360785/524288, 2721571/1048576], [-1618333/2097152, -3236665/4194304]
]]], [[7, 5, 11, 6, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 <
x, y = x-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], [2, 2], [
1360785/524288, 2721571/1048576], [-1/8388608, -1/8388608]]]], [[7, 5, 11, 6,
4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y = x-u^2+v^2+1,
z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [2, 2], [1360785/524288, 2721571/1048576], [404583/524288, 
809167/1048576]]]], [[7, 5, 11, 6, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) <
u,u < -v), 1 < x, y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[
1/2, 1/2], [-1696631/2097152, -1696631/2097152], [2, 2], [1360785/524288, 
2721571/1048576], [2, 2]]]], [[7, 13, 11, 6, 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, 6, 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, 6, 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, 3, 1], [v = 1, u = -3^(1/2), x = 0, And(-1 < y,y
< 0), z = z], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [
0, 0], [-1/2, -1/2], [0, 0]]]], [[8, 8, 3, 3, 1], [v = 1, u = 0, And(-2 < x,x
< -1), And(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [0, 0], [
-3/2, -3/2], [-3/4, -3/4], [-2, -2]]]], [[8, 8, 3, 3, 2], [v = 1, u = 0, And(-\
2 < x,x < -1), And(x < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [
0, 0], [-3/2, -3/2], [-3/4, -3/4], [-1816187/2097152, -3632373/4194304]]]], [[
8, 8, 3, 3, 3], [v = 1, u = 0, And(-2 < x,x < -1), And(x < y,y < 0), And(-(y-x
)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [0, 0], [-3/2, -3/2],
[-3/4, -3/4], [-1/8388608, -1/8388608]]]], [[8, 8, 3, 3, 4], [v = 1, u = 0, 
And(-2 < x,x < -1), And(x < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[1, 1
], [0, 0], [-3/2, -3/2], [-3/4, -3/4], [908093/1048576, 454047/524288]]]], [[8
, 8, 3, 3, 5], [v = 1, u = 0, And(-2 < x,x < -1), And(x < y,y < 0), (y-x)^(1/2
) < z], [regular_chain, [[1, 1], [0, 0], [-3/2, -3/2], [-3/4, -3/4], [2, 2]]]]
, [[8, 10, 1, 5, 1], [v = 1, u = 1, x < -1, And(x+1 < y,y < 0), z < -(y-x)^(1/
2)], [regular_chain, [[1, 1], [1, 1], [-2, -2], [-1/2, -1/2], [-3, -3]]]], [[8
, 10, 1, 5, 2], [v = 1, u = 1, x < -1, And(x+1 < y,y < 0), z = -(y-x)^(1/2)],
[regular_chain, [[1, 1], [1, 1], [-2, -2], [-1/2, -1/2], [-1284239/1048576, -\
642119/524288]]]], [[8, 10, 1, 5, 3], [v = 1, u = 1, x < -1, And(x+1 < y,y < 0
), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [1, 1], [-\
2, -2], [-1/2, -1/2], [0, 0]]]], [[8, 10, 1, 5, 4], [v = 1, u = 1, x < -1, And
(x+1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [1, 1], [-2, -2],
[-1/2, -1/2], [642119/524288, 1284239/1048576]]]], [[8, 10, 1, 5, 5], [v = 1,
u = 1, x < -1, And(x+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1, 1],
[1, 1], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[8, 14, 4, 3, 1], [v = 1, u = 3^(1
/2), x = -1, And(-2 < y,y < -1), z = z], [regular_chain, [[1, 1], [908093/
524288, 1816187/1048576], [-1, -1], [-3/2, -3/2], [0, 0]]]], [[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 = x-u^2+v^2+1,
z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10, -\
10], [-8673241/524288, -17346481/1048576], [0, 0]]]], [[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 = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [-1, -1], [-2, -2], [0, 0]]]], [[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 < 0, z = z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [1/2, 1/2], [-1, -1], [0, 0]]]], [[9, 16, 3, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 7, 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 < -(y-x)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [8, 8],
[25735089/2097152, 25735089/2097152], [-4, -4]]]], [[9, 17, 11, 7, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3,
3], [8, 8], [25735089/2097152, 25735089/2097152], [-2167143/1048576, -1083571/
524288]]]], [[9, 17, 11, 7, 3], [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), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [8, 8], [
25735089/2097152, 25735089/2097152], [0, 0]]]], [[9, 17, 11, 7, 4], [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
= (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [
8, 8], [25735089/2097152, 25735089/2097152], [1083571/524288, 2167143/1048576]
]]], [[9, 17, 11, 7, 5], [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), (y-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [8, 8], [25735089/2097152, 25735089/2097152
], [4, 4]]]], [[10, 4, 8, 5, 1], [v = 2^(1/2), u = -3^(1/2), x = 1, And(1 < y,
y < 3), z < -(y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1816187/1048576, -3632373/2097152], [1, 1], [2, 2], [-2, -2]]]], [[10, 4, 8,
5, 2], [v = 2^(1/2), u = -3^(1/2), x = 1, And(1 < y,y < 3), z = -(y-1)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373
/2097152], [1, 1], [2, 2], [-1, -1]]]], [[10, 4, 8, 5, 3], [v = 2^(1/2), u = -
3^(1/2), x = 1, And(1 < y,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], [2, 2], [0, 0]]]], [[10, 4, 8, 5, 4], [v = 2^(1/2), u = -3^(
1/2), x = 1, And(1 < y,y < 3), z = (y-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [1, 1], [2, 2]
, [1, 1]]]], [[10, 4, 8, 5, 5], [v = 2^(1/2), u = -3^(1/2), x = 1, And(1 < y,y
< 3), (y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1816187/1048576, -3632373/2097152], [1, 1], [2, 2], [2, 2]]]], [[10, 6, 7, 2,
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, 12, 2, 2, 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, 2, 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, 2, 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, 13, 11, 8, 1], [v = 2^(1/2), And(1 < u,u < v), 1 < x, y = x-u
^2+3, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[1265743/1048576, 1265743/1048576], [2, 2], [3714993/1048576, 1857497/524288],
[-3, -3]]]], [[10, 13, 11, 8, 2], [v = 2^(1/2), And(1 < u,u < v), 1 < x, y = x
-u^2+3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [1265743/1048576, 1265743/1048576], [2, 2], [3714993/1048576, 1857497/
524288], [-1302471/1048576, -651235/524288]]]], [[10, 13, 11, 8, 3], [v = 2^(1
/2), And(1 < u,u < v), 1 < x, y = x-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], [2, 2], [3714993/1048576, 1857497/524288], [0, 0]]]], [[10
, 13, 11, 8, 4], [v = 2^(1/2), And(1 < u,u < v), 1 < x, y = x-u^2+3, z = (-u^2
+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [2, 2], [3714993/1048576, 1857497/524288], [651235/
524288, 1302471/1048576]]]], [[10, 13, 11, 8, 5], [v = 2^(1/2), And(1 < u,u <
v), 1 < x, y = x-u^2+3, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288,
1482911/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [3714993/1048576
, 1857497/524288], [3, 3]]]], [[11, 2, 6, 3, 1], [2^(1/2) < v, u = -(v^2+2)^(1
/2), x = 0, And(-1 < y,y < 0), z = z], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [0, 0], [-1/2, -1/2], [0, 0]]]], [[11, 4, 4, 1, 1],
[2^(1/2) < v, u = -(v^2+1)^(1/2), x = -1, y < -1, z = z], [regular_chain, [[3,
3], [-3315889/1048576, -207243/65536], [-1, -1], [-2, -2], [0, 0]]]], [[11, 10
, 1, 3, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x < -3, And(x-1 < y,y < x), z =
z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-4, -4], [
-9/2, -9/2], [0, 0]]]], [[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 = z], [
regular_chain, [[3, 3], [0, 0], [9/2, 9/2], [-7/2, -7/2], [0, 0]]]], [[11, 15,
8, 6, 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], [395145/262144, 1580581/1048576], [-3, -3]]]], [[11, 15, 8,
6, 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], [395145/262144, 1580581/1048576], [-1287385/1048576, -160923
/131072]]]], [[11, 15, 8, 6, 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], [395145/
262144, 1580581/1048576], [0, 0]]]], [[11, 15, 8, 6, 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], [395145/
262144, 1580581/1048576], [160923/131072, 1287385/1048576]]]], [[11, 15, 8, 6,
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], [395145/262144, 1580581/1048576], [3, 3]]]], [[11, 17, 9, 3, 1], [2^(1
/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(0 < y,y < x), z =
z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [1/2, 1/2], [1/4,
1/4], [0, 0]]]], [[1, 1, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = 1, And(1 < y,y
< 4), z < -(y-1)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733
/1048576], [1, 1], [5/2, 5/2], [-3, -3]]]], [[1, 2, 8, 5, 2], [v < -2^(1/2), u
= -(v^2+2)^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 3], [v < -2^(1/2), u = -(v^2+2)^(1/
2), x = 1, And(1 < y,y < 4), 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, 5, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = 1, 
And(1 < y,y < 4), 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, 5, 5], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = 1, And(1 < y,y
< 4), (y-1)^(1/2) < z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [1, 1], [5/2, 5/2], [3, 3]]]], [[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+2), z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2],
[3/4, 3/4], [-3, -3]]]], [[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+2), z = -(y-x)^(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, 5, 3], [v < -2^(1/2), u = -(v^
2-1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y
-x)^(1/2))], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304],
[-1/2, -1/2], [3/4, 3/4], [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+2), z = (y-x)^(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, 5, 5], [v < -2^(1/
2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), (y-x)^(1/2) < z
], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-1/2, -1
/2], [3/4, 3/4], [3, 3]]]], [[1, 10, 3, 5, 1], [v < -2^(1/2), u = -(v^2-2)^(1/
2), And(-3 < x,x < -1), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And
(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (
y-x)^(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(x < y,y < 0), (y-x)^(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, x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [1435023
/524288, 1435023/524288], [2, 2], [6, 6], [-3, -3]]]], [[1, 13, 11, 9, 2], [v
< -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, x-u^2+v^2+1 < y,
z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288]
, [2, 2], [6, 6], [-2, -2]]]], [[1, 13, 11, 9, 3], [v < -2^(1/2), And((v^2-2)^
(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [2
, 2], [6, 6], [0, 0]]]], [[1, 13, 11, 9, 4], [v < -2^(1/2), And((v^2-2)^(1/2)
< u,u < (v^2-1)^(1/2)), 1 < x, x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [2, 2], [6, 6], [2
, 2]]]], [[1, 13, 11, 9, 5], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^
(1/2)), 1 < x, x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [2, 2], [6, 6], [3, 3]]]], [[1, 15, 10, 8, 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], [657289/262144, 2629157/1048576], [-3, -3]]]], [[1, 15, 10,
8, 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], [657289/262144, 2629157/1048576], [-1287385/1048576, -160923
/131072]]]], [[1, 15, 10, 8, 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], [657289/
262144, 2629157/1048576], [0, 0]]]], [[1, 15, 10, 8, 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], [657289/
262144, 2629157/1048576], [160923/131072, 1287385/1048576]]]], [[1, 15, 10, 8,
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], [657289/262144, 2629157/1048576], [3, 3]]]], [[1, 21, 6, 7,
1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 0, u^2-v^2+1 < y, z < -y^(1/2)], [
regular_chain, [[-3, -3], [5, 5], [0, 0], [18, 18], [-6, -6]]]], [[1, 21, 6, 7
, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 0, u^2-v^2+1 < y, z = -y^(1/2)], [
regular_chain, [[-3, -3], [5, 5], [0, 0], [18, 18], [-1112183/262144, -4448731
/1048576]]]], [[1, 21, 6, 7, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 0, u^2-
v^2+1 < y, And(-y^(1/2) < z,z < y^(1/2))], [regular_chain, [[-3, -3], [5, 5],
[0, 0], [18, 18], [0, 0]]]], [[1, 21, 6, 7, 4], [v < -2^(1/2), (v^2+2)^(1/2) <
u, x = 0, u^2-v^2+1 < y, z = y^(1/2)], [regular_chain, [[-3, -3], [5, 5], [0,
0], [18, 18], [4448731/1048576, 1112183/262144]]]], [[1, 21, 6, 7, 5], [v < -2
^(1/2), (v^2+2)^(1/2) < u, x = 0, u^2-v^2+1 < y, y^(1/2) < z], [regular_chain,
[[-3, -3], [5, 5], [0, 0], [18, 18], [6, 6]]]], [[2, 2, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 4, 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, 8, 3, 1], [v = -2^(1/2), And(0 < u,u < 1), x = -u^2+1, And(0 < y,y <
-u^2+1), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/
2], [3/4, 3/4], [3/8, 3/8], [0, 0]]]], [[2, 17, 6, 2, 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], [-126367
/262144, -505467/1048576], [0, 0]]]], [[2, 19, 3, 3, 1], [v = -2^(1/2), 2 < u,
And(-u^2+1 < x,x < -1), And(x-u^2+3 < y,y < x), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [-9/2, -9/2], [-15/2, -15/2], [0, 0]
]]], [[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(x < y,y < u^2-v^2+x+1), z < -(y-
x)^(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, 7, 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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 7, 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(x < y,y < u^2-v
^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 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(x < y,y < u^2-v^2+x+1), z = (y-x)^(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, 7, 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(x < y,y < u^2-v^2+x+1), (y-x)^(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, 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], [558339/
1048576, 139585/262144], [-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], [558339/1048576, 139585/262144], [-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], [558339/1048576, 
139585/262144], [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], [558339/1048576, 139585/262144], [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], [558339/1048576, 139585/262144], [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(-u^2+v^2-1 < 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], [-450371/2097152, -450371/2097152], [-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(-u^2+v^2-1 < 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], [-450371/2097152, -450371/2097152
], [-485927/1048576, -242963/524288]]]], [[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(-u^2+v^2-1 < 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], [-450371/2097152, -450371/2097152], [0, 0]]]]
, [[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(-u^2+v^2-1 < 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], [-450371/2097152, -450371/2097152
], [242963/524288, 485927/1048576]]]], [[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(-u^2+v^2-1 < 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],
[-450371/2097152, -450371/2097152], [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, 2*u^2-2*v^2 < y,
z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-1116681/2097152, -139585/
262144], [2, 2], [-3, -3]]]], [[3, 13, 6, 7, 2], [And(-2^(1/2) < v,v < -1), 
And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, 2*u^2-2*v^2 < y, z = -(y-u^2+v^2
+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, 7, 3], [And(-2^(1/2) < v,v <
-1), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, 2*u^2-2*v^2 < y, And(-(y-u^
2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+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, 7,
4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, 2
*u^2-2*v^2 < y, z = (y-u^2+v^2+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, 7, 5]
, [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, 2*u
^2-2*v^2 < y, (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [-1116681/2097152, -\
139585/262144], [2, 2], [3, 3]]]], [[3, 13, 10, 5, 1], [And(-2^(1/2) < v,v < -\
1), And(-v < u,u < (v^2+1)^(1/2)), x = 1, And(1 < y,y < -u^2+v^2+2), 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(1 < y,y < -u^2+v^2+2), 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(1 < 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], [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(1 < y,y < -u^2+v^2+2), 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(
1 < y,y < -u^2+v^2+2), (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-u^2+v^2+1
, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/
524288, 898327/524288], [775271/1048576, 775271/1048576], [273305/1048576, 
136653/524288], [0, 0]]]], [[4, 3, 9, 2, 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, 7, 8, 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], [621627/524288, 1243255/
1048576], [-3, -3]]]], [[4, 5, 7, 8, 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], [621627/524288
, 1243255/1048576], [-1265743/1048576, -1265743/1048576]]]], [[4, 5, 7, 8, 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], [621627/524288, 1243255/1048576], [0, 0]]]],
[[4, 5, 7, 8, 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], [621627/524288, 1243255/1048576], [
1265743/1048576, 1265743/1048576]]]], [[4, 5, 7, 8, 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],
[621627/524288, 1243255/1048576], [3, 3]]]], [[4, 9, 10, 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], [5/4, 5/4], [-2, -2]]]], [[4, 9, 10, 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], [5/4
, 5/4], [-1/2, -1/2]]]], [[4, 9, 10, 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],
[5/4, 5/4], [0, 0]]]], [[4, 9, 10, 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], [5/4, 5/4], [1
/2, 1/2]]]], [[4, 9, 10, 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], [5/4, 5/4], [2, 2]]]], [[
4, 11, 11, 1, 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], [-1, -1]
, [0, 0]]]], [[5, 2, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6,
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, 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 < -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [1534619/
2097152, 1534619/2097152], [4117813/2097152, 4117813/2097152], [-3, -3]]]], [[
5, 3, 9, 7, 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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [1534619/
2097152, 1534619/2097152], [4117813/2097152, 4117813/2097152], [-1163761/
1048576, -72735/65536]]]], [[5, 3, 9, 7, 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(x < y,y < u^2-v^2
+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2],
[-343151/262144, -343151/262144], [1534619/2097152, 1534619/2097152], [4117813
/2097152, 4117813/2097152], [0, 0]]]], [[5, 3, 9, 7, 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(x <
y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [1534619/2097152, 1534619/2097152], [4117813/2097152,
4117813/2097152], [72735/65536, 1163761/1048576]]]], [[5, 3, 9, 7, 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(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2
], [-343151/262144, -343151/262144], [1534619/2097152, 1534619/2097152], [
4117813/2097152, 4117813/2097152], [3, 3]]]], [[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 = x, z < 0], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [2, 2], [2, 2],
[-1, -1]]]], [[5, 11, 11, 6, 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, 6, 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, 5, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = 1, 
And(0 < y,y < 1), 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(0 <
y,y < 1), z = z], [regular_chain, [[0, 0], [-1/2, -1/2], [1, 1], [1/2, 1/2], [
0, 0]]]], [[6, 7, 10, 7, 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, 7, 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, 7, 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, 7,
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
, 7, 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, 9, 7, 1], [v = 0, 2^(1/2) < u, And(1 < x,x < u^2-1), And(x < y,y < u^2+x+1
), z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [3, 3], [9/2, 9/2], [19/2, 19/2
], [-4, -4]]]], [[6, 11, 9, 7, 2], [v = 0, 2^(1/2) < u, And(1 < x,x < u^2-1),
And(x < y,y < u^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [3, 3], [9
/2, 9/2], [19/2, 19/2], [-146543/65536, -2344687/1048576]]]], [[6, 11, 9, 7, 3
], [v = 0, 2^(1/2) < u, And(1 < x,x < u^2-1), And(x < y,y < u^2+x+1), And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [3, 3], [9/2, 9/2], [
19/2, 19/2], [0, 0]]]], [[6, 11, 9, 7, 4], [v = 0, 2^(1/2) < u, And(1 < x,x <
u^2-1), And(x < y,y < u^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [3,
3], [9/2, 9/2], [19/2, 19/2], [2344687/1048576, 146543/65536]]]], [[6, 11, 9,
7, 5], [v = 0, 2^(1/2) < u, And(1 < x,x < u^2-1), And(x < y,y < u^2+x+1), (y-x
)^(1/2) < z], [regular_chain, [[0, 0], [3, 3], [9/2, 9/2], [19/2, 19/2], [4, 4
]]]], [[7, 2, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 11, 9, 1], [And(0 < v,v < 1), And(-v < u,u < v), 1 < x, x-u^2+v^2+1
< y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [5, 5], [
-3, -3]]]], [[7, 7, 11, 9, 2], [And(0 < v,v < 1), And(-v < u,u < v), 1 < x, x-
u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [2, 2],
[5, 5], [-1816187/1048576, -3632373/2097152]]]], [[7, 7, 11, 9, 3], [And(0 < v
,v < 1), And(-v < u,u < v), 1 < x, x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [5, 5], [-1/4194304
, -1/4194304]]]], [[7, 7, 11, 9, 4], [And(0 < v,v < 1), And(-v < u,u < v), 1 <
x, x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [2,
2], [5, 5], [908093/524288, 1816187/1048576]]]], [[7, 7, 11, 9, 5], [And(0 < v
,v < 1), And(-v < u,u < v), 1 < x, x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [5, 5], [3, 3]]]], [[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+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, 6, 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, 6, 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, 6,
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, 6, 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, 4, 1, 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], [-3
, -3], [0, 0]]]], [[8, 4, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = 1, u = -1, x = -1, 0 < y, z < -(y+1)^(1/2)], [regular_chain, [[
1, 1], [-1, -1], [-1, -1], [1, 1], [-3, -3]]]], [[8, 6, 2, 5, 2], [v = 1, u =
-1, x = -1, 0 < y, z = -(y+1)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [-1,
-1], [1, 1], [-1482911/1048576, -741455/524288]]]], [[8, 6, 2, 5, 3], [v = 1,
u = -1, x = -1, 0 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain,
[[1, 1], [-1, -1], [-1, -1], [1, 1], [0, 0]]]], [[8, 6, 2, 5, 4], [v = 1, u =
-1, x = -1, 0 < y, z = (y+1)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [-1, -\
1], [1, 1], [741455/524288, 1482911/1048576]]]], [[8, 6, 2, 5, 5], [v = 1, u =
-1, x = -1, 0 < y, (y+1)^(1/2) < z], [regular_chain, [[1, 1], [-1, -1], [-1, -\
1], [1, 1], [3, 3]]]], [[8, 10, 6, 2, 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, 7, 3, 1],
[v = 1, u = 2^(1/2), And(0 < x,x < 1), And(0 < y,y < x), z = z], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [1/2, 1/2], [1/4, 1/
4], [0, 0]]]], [[9, 2, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), 
And(-1 < x,x < 0), y < x, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-410915/262144, -3287319/2097152], [-1/2, -1/2], [-2, -2], [0, 0]]]
], [[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(0
< y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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 < -1, z =
z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [0, 0], [-2,
-2], [0, 0]]]], [[10, 4, 4, 3, 1], [v = 2^(1/2), u = -3^(1/2), x = -1, And(-1
< y,y < 0), z < -(y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1816187/1048576, -3632373/2097152], [-1, -1], [-1/2, -1/2], [-2, -\
2]]]], [[10, 4, 4, 3, 2], [v = 2^(1/2), u = -3^(1/2), x = -1, And(-1 < y,y < 0
), z = -(y+1)^(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, 3, 3], [v = 2^(1/2), u = -3^(1/2), x = -1, 
And(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(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, 3, 5], [v = 2^(1/2), u = -3^(1
/2), x = -1, And(-1 < y,y < 0), (y+1)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-1, -1], [-1/
2, -1/2], [2, 2]]]], [[10, 8, 7, 5, 1], [v = 2^(1/2), u = -1, And(0 < x,x < 1)
, And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1, -1], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[10, 8, 7, 5
, 2], [v = 2^(1/2), u = -1, And(0 < x,x < 1), And(x < y,y < x+2), z = -(y-x)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2]
, [3/2, 3/2], [-1, -1]]]], [[10, 8, 7, 5, 3], [v = 2^(1/2), u = -1, And(0 < x,
x < 1), And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2], [3/2,
3/2], [0, 0]]]], [[10, 8, 7, 5, 4], [v = 2^(1/2), u = -1, And(0 < x,x < 1), 
And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [-1, -1], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[10, 8, 7, 5, 5], [v
= 2^(1/2), u = -1, And(0 < x,x < 1), And(x < y,y < x+2), (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2], [3/2,
3/2], [2, 2]]]], [[10, 10, 5, 3, 1], [v = 2^(1/2), u = 0, And(-1 < x,x < 0), 
And(x-1 < y,y < x), z = z], [regular_chain, [[741455/524288, 1482911/1048576],
[0, 0], [-1/2, -1/2], [-1, -1], [0, 0]]]], [[10, 15, 11, 9, 1], [v = 2^(1/2),
And(v < u,u < 3^(1/2)), 1 < x, u^2+x-1 < y, z < -(y-x)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [2, 2],
[5, 5], [-3, -3]]]], [[10, 15, 11, 9, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2))
, 1 < x, u^2+x-1 < y, z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [2, 2], [5, 5], [-\
1816187/1048576, -3632373/2097152]]]], [[10, 15, 11, 9, 3], [v = 2^(1/2), And(
v < u,u < 3^(1/2)), 1 < x, u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097
/2097152], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[10, 15, 11, 9, 4], [
v = 2^(1/2), And(v < u,u < 3^(1/2)), 1 < x, u^2+x-1 < y, z = (y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [2, 2], [5, 5], [908093/524288, 1816187/1048576]]]], [[10, 15, 11, 9
, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), 1 < x, u^2+x-1 < y, (y-x)^(1/2) <
z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [2, 2], [5, 5], [3, 3]]]], [[10, 17, 11, 3, 1], [v = 2^(1/2)
, And(3^(1/2) < u,u < 2), 1 < x, And(0 < y,y < x-u^2+3), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [2, 2], [397921/524288, 397921/524288], [0, 0]]]], [[10, 18, 3, 4, 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, 4, 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, 4, 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, 7, 1], [v = 2^(1/2), 2 < u, u^2-3 < x, And(x
< y,y < u^2+x-1), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [7, 7], [11, 11], [-3, -3]]]], [[10, 19, 11, 7, 2], [v = 2^(
1/2), 2 < u, u^2-3 < x, And(x < y,y < u^2+x-1), z = -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7, 7], [11, 11], [-\
2, -2]]]], [[10, 19, 11, 7, 3], [v = 2^(1/2), 2 < u, u^2-3 < x, And(x < y,y <
u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [7, 7], [11, 11], [0, 0]]]], [[10, 19, 11, 7
, 4], [v = 2^(1/2), 2 < u, u^2-3 < x, And(x < y,y < u^2+x-1), z = (y-x)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7, 7], [11, 11],
[2, 2]]]], [[10, 19, 11, 7, 5], [v = 2^(1/2), 2 < u, u^2-3 < x, And(x < y,y <
u^2+x-1), (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[3, 3], [7, 7], [11, 11], [3, 3]]]], [[11, 6, 2, 1, 1], [2^(1/2) < v, u = -v,
x = -1, y < -1, z = z], [regular_chain, [[3, 3], [-3, -3], [-1, -1], [-2, -2],
[0, 0]]]], [[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 < y,y < x+3), z < -(y-x)^(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 < y,y < x+3), z = -(y-x)^(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 < y,y < x+3),
And(-(y-x)^(1/2) < z,z < (y-x)^(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 < y,y < x+3), z = (y-x)^(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 < y,y < x+3), (y-x)^(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 < 0, z = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1,
1], [-1, -1], [0, 0]]]], [[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(x < y,y < u^2-v^2+x+1), z
< -(y-x)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576],
[129511/524288, 129511/524288], [391655/262144, 391655/262144], [-3, -3]]]], [
[11, 19, 7, 7, 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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 7, 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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/
2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [129511/524288, 129511/524288], [391655/262144, 391655/262144], [0,
0]]]], [[11, 19, 7, 7, 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(x < y,y < u^2-v^2+x+1), z = (y-x)^(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, 7, 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(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) <
z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511/
524288, 129511/524288], [391655/262144, 391655/262144], [3, 3]]]], [[11, 21, 5
, 1, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y < x-u^2+v^2+1,
z = z], [regular_chain, [[3, 3], [5, 5], [-1/2, -1/2], [-17, -17], [0, 0]]]],
[[1, 4, 6, 5, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = 0, 2 < y, z < -y^(1/2
)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [0, 0], [3,
3], [-3, -3]]]], [[1, 4, 6, 5, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = 0, 2
< y, z = -y^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/
65536], [0, 0], [3, 3], [-1816187/1048576, -3632373/2097152]]]], [[1, 4, 6, 5,
3], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = 0, 2 < y, 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, 5, 4], [v < -2^(1/2), u = -(v^2
+1)^(1/2), x = 0, 2 < y, z = y^(1/2)], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [0, 0], [3, 3], [908093/524288, 1816187/1048576]]]],
[[1, 4, 6, 5, 5], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = 0, 2 < y, y^(1/2) < z
], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [0, 0], [3, 3
], [3, 3]]]], [[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 = u^2-v^2+x+1, z = z], [regular_chain, [[-3, -3], [0, 0], [9, 9], [
1, 1], [0, 0]]]], [[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(0 < y,y < -u^2+v^2-1), z = z], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [133259/262144, 
533037/1048576], [133259/524288, 133259/524288], [0, 0]]]], [[1, 17, 11, 3, 1]
, [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(0 < y,y < x), z = z
], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [2, 2], [1, 1],
[0, 0]]]], [[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 = 0, z = z], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [1, 1], [0, 0], [0, 0]]]], [[2, 3, 9, 7, 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-1), z < -(
y-x)^(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, 7, 2], [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-1), z = -(y-x)^(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, 7, 3], [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-1), And(-(
y-x)^(1/2) < z,z < (y-x)^(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, 7, 4], [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-1), z =
(y-x)^(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, 7, 5], [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-1),
(y-x)^(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, 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]
, [550769/1048576, 275385/524288], [-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], [550769/1048576, 275385/524288], [-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], [550769/1048576, 275385/524288], [-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], [550769/1048576, 275385
/524288], [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], [550769/1048576, 275385/524288], [2, 2]]]], [[2, 6,
1, 1, 1], [v = -2^(1/2), u = v, x < -1, y < x, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-2, -2]
, [-3, -3], [0, 0]]]], [[2, 8, 1, 5, 1], [v = -2^(1/2), u = -1, x < -2, And(x+
2 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1, -1], [-3, -3], [-1/2, -1/2], [-3, -3]]]], [[2, 8, 1, 5, 2], [v =
-2^(1/2), u = -1, x < -2, And(x+2 < y,y < 0), z = -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-3, -3], [-1/2,
-1/2], [-3315889/2097152, -207243/131072]]]], [[2, 8, 1, 5, 3], [v = -2^(1/2),
u = -1, x < -2, And(x+2 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-3, -3], [-1/2,
-1/2], [0, 0]]]], [[2, 8, 1, 5, 4], [v = -2^(1/2), u = -1, x < -2, And(x+2 < y
,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1, -1], [-3, -3], [-1/2, -1/2], [207243/131072, 1657945/1048576]]]], [[2,
8, 1, 5, 5], [v = -2^(1/2), u = -1, x < -2, And(x+2 < y,y < 0), (y-x)^(1/2) <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-3, -3], [
-1/2, -1/2], [3, 3]]]], [[2, 13, 7, 1, 1], [v = -2^(1/2), And(1 < u,u < -v), 
And(-u^2+1 < x,x < 0), y < x, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-239655/1048576, -239655/
1048576], [-2, -2], [0, 0]]]], [[2, 15, 7, 5, 1], [v = -2^(1/2), And(-v < u,u
< 3^(1/2)), And(u^2-3 < x,x < 0), And(0 < y,y < x-u^2+3), z < -(y-x)^(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(0 < y,y < x-u^2+3), z = -(y-x)^(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(0 < y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z
< (y-x)^(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(0 < y,y < x-u^2+3), z = (y-x)^(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(0 < y,y < x-u^2+3), (y-x)^(
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^2-1 < y, z < -y^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[3, 3], [0, 0], [9, 9], [-4, -4]]]], [[2, 19, 6, 7, 2], [v = -2^(1/2), 2 < u,
x = 0, u^2-1 < y, z = -y^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [0, 0], [9, 9], [-3, -3]]]], [[2, 19, 6, 7, 3], [v = -2^(1/2)
, 2 < u, x = 0, u^2-1 < y, 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, 7, 4], [v = -2^(1/2), 2 < u, x = 0, u^2-1 < y, z = y^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [3, 3], [0, 0], [9, 9], [3, 3]]]], [[2,
19, 6, 7, 5], [v = -2^(1/2), 2 < u, x = 0, u^2-1 < y, y^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [0, 0], [9, 9], [4
, 4]]]], [[3, 2, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [And(-2^(1/
2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 0, -u^2+v^2+1 < y, z < -y^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [0, 0], [3, 3], [-3, -3]]]], [[3, 7, 8, 7, 2], [
And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 0, -u^2+v^2+1 < y
, 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, 7, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u
< -(v^2-1)^(1/2)), x = 0, -u^2+v^2+1 < y, 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, 7, 4
], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 0, -u^2+v^2+1
< y, 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, 7, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-\
1)^(1/2)), x = 0, -u^2+v^2+1 < y, y^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [0, 0], [3,
3], [3, 3]]]], [[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 = x, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [239655/1048576,
239655/1048576], [239655/1048576, 239655/1048576], [-1, -1]]]], [[3, 9, 7, 6,
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, 6, 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, 1, 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], [-8, -8], [0, 0]]]], [[4, 1, 11, 9, 1], [v = -1, u < -3^(1/2), u^2-2 < x,
u^2+x < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [8, 8], [18
, 18], [-5, -5]]]], [[4, 1, 11, 9, 2], [v = -1, u < -3^(1/2), u^2-2 < x, u^2+x
< y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [8, 8], [18, 18],
[-3315889/1048576, -207243/65536]]]], [[4, 1, 11, 9, 3], [v = -1, u < -3^(1/2)
, u^2-2 < x, u^2+x < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[-1, -1], [-3, -3], [8, 8], [18, 18], [0, 0]]]], [[4, 1, 11, 9, 4], [v = -1
, u < -3^(1/2), u^2-2 < x, u^2+x < y, z = (y-x)^(1/2)], [regular_chain, [[-1,
-1], [-3, -3], [8, 8], [18, 18], [207243/65536, 3315889/1048576]]]], [[4, 1, 
11, 9, 5], [v = -1, u < -3^(1/2), u^2-2 < x, u^2+x < y, (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [-3, -3], [8, 8], [18, 18], [5, 5]]]], [[4, 7, 8, 3,
1], [v = -1, And(-1 < u,u < 0), x = 0, And(0 < y,y < u^2), z < -y^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [0, 0], [1/8, 1/8], [-2, -2]]]], [[4,
7, 8, 3, 2], [v = -1, And(-1 < u,u < 0), x = 0, And(0 < y,y < u^2), 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, 3, 3], [v = -1, And(-1 < u,u < 0), x =
0, And(0 < y,y < u^2), 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, 3, 4], [v = -1, 
And(-1 < u,u < 0), x = 0, And(0 < y,y < u^2), 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, 3, 5], [v = -1, And(-1 < u,u < 0), x = 0, And(0 < y,y < u^2), y^(1/
2) < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [0, 0], [1/8, 1/8], [2, 2]]]
], [[4, 9, 7, 2, 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, 2, 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, 2, 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, 9, 9, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(u^2
-2 < x,x < 1), u^2+x < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [773191/1048576, 773191/1048576], [5, 5], [
-4, -4]]]], [[4, 13, 9, 9, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(u^2-\
2 < x,x < 1), u^2+x < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [773191/1048576, 773191/1048576], [5, 5], [
-270613/131072, -2164903/1048576]]]], [[4, 13, 9, 9, 3], [v = -1, And(2^(1/2)
< u,u < 3^(1/2)), And(u^2-2 < x,x < 1), u^2+x < y, And(-(y-x)^(1/2) < z,z < (y
-x)^(1/2))], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [
773191/1048576, 773191/1048576], [5, 5], [0, 0]]]], [[4, 13, 9, 9, 4], [v = -1
, And(2^(1/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), u^2+x < y, z = (y-x)^(1/
2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [773191/
1048576, 773191/1048576], [5, 5], [2164903/1048576, 270613/131072]]]], [[4, 13
, 9, 9, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), u^2+x
< y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [773191/1048576, 773191/1048576], [5, 5], [4, 4]]]], [[4, 15, 6, 6,
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, 6, 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, 6, 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, 6, 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, 6, 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, 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], [312209/524288, 624419/
1048576], [-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], [312209/524288, 
624419/1048576], [-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], [312209/524288, 624419/1048576
], [-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], [
312209/524288, 624419/1048576], [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], [312209/524288, 624419/1048576], [2, 2]]]], [[5, 7,
9, 1, 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], [-1, -1], [0, 0]]]], [[
5, 8, 1, 3, 1], [And(-1 < v,v < 0), u = -v, x < -1, And(x < y,y < x+1), z < -(
y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-2, -2], [-3/2, -3/2]
, [-2, -2]]]], [[5, 8, 1, 3, 2], [And(-1 < v,v < 0), u = -v, x < -1, And(x < y
,y < x+1), z = -(y-x)^(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, 3, 3], [
And(-1 < v,v < 0), u = -v, x < -1, And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-2, -2], [-3/2, -\
3/2], [0, 0]]]], [[5, 8, 1, 3, 4], [And(-1 < v,v < 0), u = -v, x < -1, And(x <
y,y < x+1), z = (y-x)^(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, 3, 5], [And(-1
< v,v < 0), u = -v, x < -1, And(x < y,y < x+1), (y-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-2, -2], [-3/2, -3/2], [2, 2]]]], [
[5, 10, 1, 7, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x < -2, 0 < y, z < -(
y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072],
[-3, -3], [1, 1], [-3, -3]]]], [[5, 10, 1, 7, 2], [And(-1 < v,v < 0), u = (v^2
+1)^(1/2), x < -2, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1172343/1048576, 146543/131072], [-3, -3], [1, 1], [-2, -2]]]], [[5, 10, 1, 7,
3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x < -2, 0 < y, And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/
131072], [-3, -3], [1, 1], [0, 0]]]], [[5, 10, 1, 7, 4], [And(-1 < v,v < 0), u
= (v^2+1)^(1/2), x < -2, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2
], [1172343/1048576, 146543/131072], [-3, -3], [1, 1], [2, 2]]]], [[5, 10, 1,
7, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x < -2, 0 < y, (y-x)^(1/2) < z],
[regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3, -3], [1,
1], [3, 3]]]], [[6, 2, 3, 5, 1], [v = 0, u = -2^(1/2), And(-3 < x,x < -1), And
(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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
(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)
^(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(x < y,y < 0), (y-x)^(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-u^2+1, z = z], [regular_chain, [[0
, 0], [-1265743/1048576, -1265743/1048576], [2, 2], [1617841/1048576, 808921/
524288], [0, 0]]]], [[6, 8, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 8, 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, 8, 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, 8,
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, 8, 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, 8, 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, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2)
< u,u < -v), 1 < x, And(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [2, 2], [
2409361/1048576, 2409361/1048576], [-2, -2]]]], [[7, 5, 11, 5, 2], [And(0 < v,
v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And(x < y,y < x-u^2+v^2+1), z =
-(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [2, 2], [2409361/1048576, 2409361/1048576], [-572167/1048576, -\
1144333/2097152]]]], [[7, 5, 11, 5, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2)
< u,u < -v), 1 < x, And(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [
2, 2], [2409361/1048576, 2409361/1048576], [-1/4194304, -1/4194304]]]], [[7, 5
, 11, 5, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And(x <
y,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [2, 2], [2409361/1048576, 2409361/1048576], [
286083/524288, 572167/1048576]]]], [[7, 5, 11, 5, 5], [And(0 < v,v < 1), And(-
(v^2+1)^(1/2) < u,u < -v), 1 < x, And(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z]
, [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [2, 2], [
2409361/1048576, 2409361/1048576], [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-u^2+v^2+1 < y,y < x), 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 = 3, z < -3^(1/2)], [regular_chain, [[
1, 1], [-1816187/1048576, -3632373/2097152], [0, 0], [3, 3], [-3, -3]]]], [[8,
2, 6, 6, 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, 6, 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, 6, 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, 6, 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, 2, 5, 1], [v = 1, u = 0, x = -2, 0 < y, z < -(y
+2)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-2, -2], [1, 1], [-3, -3]]]], [[
8, 8, 2, 5, 2], [v = 1, u = 0, x = -2, 0 < y, z = -(y+2)^(1/2)], [
regular_chain, [[1, 1], [0, 0], [-2, -2], [1, 1], [-1816187/1048576, -3632373/
2097152]]]], [[8, 8, 2, 5, 3], [v = 1, u = 0, x = -2, 0 < y, And(-(y+2)^(1/2)
< z,z < (y+2)^(1/2))], [regular_chain, [[1, 1], [0, 0], [-2, -2], [1, 1], [-1/
4194304, -1/4194304]]]], [[8, 8, 2, 5, 4], [v = 1, u = 0, x = -2, 0 < y, z = (
y+2)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-2, -2], [1, 1], [908093/524288
, 1816187/1048576]]]], [[8, 8, 2, 5, 5], [v = 1, u = 0, x = -2, 0 < y, (y+2)^(
1/2) < z], [regular_chain, [[1, 1], [0, 0], [-2, -2], [1, 1], [3, 3]]]], [[8,
10, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 4, 2, 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, 5, 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 < -(y-x)^(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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2-v^2+x+1),
z = (y-x)^(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(x < y,y < u^2-v^2+x+1), (y-x)^(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 < x, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/2
, -1/2], [-2, -2], [0, 0]]]], [[9, 8, 4, 2, 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, 2, 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, 2, 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, 8, 3, 1], [And(1 < v,v < 2^(1
/2)), u = -(v^2-1)^(1/2), x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [1, 1],
[1/2, 1/2], [0, 0]]]], [[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(x < y,y < 0), z <
-(y-x)^(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(x < y,y < 0
), z = -(y-x)^(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(x <
y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [8, 8], [17346481/
1048576, 8673241/524288], [-4, -4]]]], [[9, 17, 11, 8, 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], [
17346481/1048576, 8673241/524288], [-1532401/524288, -24518415/8388608]]]], [[
9, 17, 11, 8, 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], [17346481/
1048576, 8673241/524288], [-7/16777216, -7/16777216]]]], [[9, 17, 11, 8, 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], [17346481/1048576, 8673241/524288], [3064801/1048576, 1532401/
524288]]]], [[9, 17, 11, 8, 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], [17346481/1048576, 8673241/
524288], [4, 4]]]], [[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 < x+1), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-1482911/1048576, -741455/524288], [2, 2], [5/2, 5/2], [-2,
-2]]]], [[10, 6, 7, 5, 2], [v = 2^(1/2), u = -v, 1 < x, And(x < y,y < x+1), z
= -(y-x)^(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, 5, 3], [v = 2^(1/2), u = -v, 1 < x, And(x < y,y < x+1
), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [2, 2], [5/2, 5/2], [0,
0]]]], [[10, 6, 7, 5, 4], [v = 2^(1/2), u = -v, 1 < x, And(x < y,y < x+1), z =
(y-x)^(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, 5, 5], [v = 2^(1/2), u = -v, 1 < x, And(x < y,y < x+1), (y-x)^(1
/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576
, -741455/524288], [2, 2], [5/2, 5/2], [2, 2]]]], [[10, 12, 1, 6, 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, 6, 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, 6, 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,
6, 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, 6, 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, 9, 1], [v = 2^(1/2), And(1 < u,u < v),
1 < x, x-u^2+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [5, 5], [-3, -3]
]]], [[10, 13, 11, 9, 2], [v = 2^(1/2), And(1 < u,u < v), 1 < x, x-u^2+3 < y,
z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743
/1048576, 1265743/1048576], [2, 2], [5, 5], [-1816187/1048576, -3632373/
2097152]]]], [[10, 13, 11, 9, 3], [v = 2^(1/2), And(1 < u,u < v), 1 < x, x-u^2
+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [5, 5],
[-1/4194304, -1/4194304]]]], [[10, 13, 11, 9, 4], [v = 2^(1/2), And(1 < u,u <
v), 1 < x, x-u^2+3 < y, z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [5, 5], [908093/
524288, 1816187/1048576]]]], [[10, 13, 11, 9, 5], [v = 2^(1/2), And(1 < u,u <
v), 1 < x, x-u^2+3 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [5, 5], [3, 3]]]
], [[11, 2, 5, 9, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-1 < x,x < 0), x+3
< y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [-1/2, -1/2], [4, 4], [-4, -4]]]], [[11, 2, 5, 9, 2], [2^(1/2) < v,
u = -(v^2+2)^(1/2), And(-1 < x,x < 0), x+3 < y, z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-1/2, -1/2], [4,
4], [-1112183/524288, -2224365/1048576]]]], [[11, 2, 5, 9, 3], [2^(1/2) < v, u
= -(v^2+2)^(1/2), And(-1 < x,x < 0), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-1/2, -\
1/2], [4, 4], [0, 0]]]], [[11, 2, 5, 9, 4], [2^(1/2) < v, u = -(v^2+2)^(1/2),
And(-1 < x,x < 0), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [-1/2, -1/2], [4, 4], [2224365/1048576, 
1112183/524288]]]], [[11, 2, 5, 9, 5], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-\
1 < x,x < 0), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [-1/2, -1/2], [4, 4], [4, 4]]]], [[11, 4, 4, 2, 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, 2, 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, 2, 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, 2, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x
< -3, y = x-1, z = z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [-4, -4], [-5, -5], [0, 0]]]], [[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(0 < y,y
< x), 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
(0 < y,y < u^2-v^2+1), z < -y^(1/2)], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [0, 0], [516571/2097152, 516571/2097152], [-2, -2]]
]], [[11, 15, 8, 3, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 0, And
(0 < y,y < u^2-v^2+1), 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, 3, 3], [2^(1/2) < v, And((v^2-1)^(1/2
) < u,u < v), x = 0, And(0 < 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], [516571/
2097152, 516571/2097152], [0, 0]]]], [[11, 15, 8, 3, 4], [2^(1/2) < v, And((v^
2-1)^(1/2) < u,u < v), x = 0, And(0 < y,y < u^2-v^2+1), 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, 3, 5]
, [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 0, And(0 < y,y < u^2-v^2+1),
y^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [0,
0], [516571/2097152, 516571/2097152], [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 = x, z < 0], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [1/2, 1/2], [1/2, 1/2]
, [-1, -1]]]], [[11, 17, 9, 4, 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, 4, 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, 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 < 0), 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, 5, 2], [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 =
-(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, 5, 3], [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), 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, 5, 4], [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 = (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, 5, 5], [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), (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, 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+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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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,
6, 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, 6, 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, 6, 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, 6, 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, 8, 1], [v < -2^(1
/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y = x-u^2+v^2+1, z < -(-
u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288]
, [2, 2], [1181835/262144, 4727341/1048576], [-3, -3]]]], [[1, 13, 11, 8, 2],
[v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y = x-u^2+v^2+
1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [2, 2], [1181835/262144, 4727341/1048576], [-3321417/2097152,
-415177/262144]]]], [[1, 13, 11, 8, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), 1 < x, y = x-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],
[2, 2], [1181835/262144, 4727341/1048576], [0, 0]]]], [[1, 13, 11, 8, 4], [v <
-2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y = x-u^2+v^2+1, z
= (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [2, 2], [1181835/262144, 4727341/1048576], [415177/262144, 1660709/
1048576]]]], [[1, 13, 11, 8, 5], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2
-1)^(1/2)), 1 < x, y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [
[-3, -3], [1435023/524288, 1435023/524288], [2, 2], [1181835/262144, 4727341/
1048576], [3, 3]]]], [[1, 15, 10, 7, 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, 7, 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, 7, 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, 7, 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, 7, 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, 7, 1, 1], [v <
-2^(1/2), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y < x-u^2+v^2+1, z = z], [
regular_chain, [[-3, -3], [5, 5], [1/2, 1/2], [-16, -16], [0, 0]]]], [[2, 2, 1
, 7, 1], [v = -2^(1/2), u = -2, x < -3, And(x+3 < y,y < 0), z < -(y-x)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-4, -4], [-1/2
, -1/2], [-3, -3]]]], [[2, 2, 1, 7, 2], [v = -2^(1/2), u = -2, x < -3, And(x+3
< y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-2, -2], [-4, -4], [-1/2, -1/2], [-7846825/4194304, -980853/524288]]
]], [[2, 2, 1, 7, 3], [v = -2^(1/2), u = -2, x < -3, And(x+3 < y,y < 0), And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455
/524288], [-2, -2], [-4, -4], [-1/2, -1/2], [0, 0]]]], [[2, 2, 1, 7, 4], [v =
-2^(1/2), u = -2, x < -3, And(x+3 < y,y < 0), z = (y-x)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [-2, -2], [-4, -4], [-1/2, -1/2], [
980853/524288, 1961707/1048576]]]], [[2, 2, 1, 7, 5], [v = -2^(1/2), u = -2, x
< -3, And(x+3 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576
, -741455/524288], [-2, -2], [-4, -4], [-1/2, -1/2], [3, 3]]]], [[2, 9, 11, 3,
1], [v = -2^(1/2), And(-1 < u,u < 0), 1 < x, And(0 < y,y < u^2+x-1), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [2, 2], [5/8
, 5/8], [0, 0]]]], [[2, 11, 8, 2, 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, 3, 1], [v = -2^(1/2), And(3^(
1/2) < u,u < 2), x = 0, And(-u^2+3 < y,y < 0), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [0, 0],
[-505467/2097152, -505467/2097152], [0, 0]]]], [[2, 19, 3, 4, 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, 4, 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, 4, 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, 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], [775271/1048576, 775271/1048576], [
775271/1048576, 775271/1048576], [-1, -1]]]], [[3, 3, 9, 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], [775271/1048576, 775271/1048576], [
775271/1048576, 775271/1048576], [0, 0]]]], [[3, 3, 9, 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], [775271/1048576, 775271/1048576], [
775271/1048576, 775271/1048576], [1, 1]]]], [[3, 5, 8, 3, 1], [And(-2^(1/2) <
v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 0, And(0 < y,y < -u^2+v^2+1), 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, 3, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v
), x = 0, And(0 < y,y < -u^2+v^2+1), 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, 3, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 0, 
And(0 < 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], [558339/2097152, 558339/2097152], [-1/4194304, -1/4194304]]]], [[3, 5, 8,
3, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 0, And(0
< y,y < -u^2+v^2+1), 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, 3, 5]
, [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 0, And(0 < y,y
< -u^2+v^2+1), 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, 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 < x, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [1454701/1048576, 1454701/1048576], [-139585/524288, -139585/524288], [-2, -\
2], [0, 0]]]], [[3, 13, 10, 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+2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [
1, 1], [401729/262144, 1606917/1048576], [-2, -2]]]], [[3, 13, 10, 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+2, z
= -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1454701/1048576, 1454701/1048576], [1, 1], [401729/262144, 1606917/1048576],
[-765155/1048576, -1530309/2097152]]]], [[3, 13, 10, 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+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], [401729/262144,
1606917/1048576], [-1/4194304, -1/4194304]]]], [[3, 13, 10, 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+2, z = (-u^
2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [1, 1], [401729/262144, 1606917/1048576], [
382577/524288, 765155/1048576]]]], [[3, 13, 10, 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+2, (-u^2+v^2+1)^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [1, 1], [401729/262144, 1606917/1048576], [2, 2]]]], [[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-u^2+v^2+1 < y,y < x), 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 < 0, z = z], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [1546383/2097152, 1546383/2097152], [-1, -1], [0, 0]]]], [[4
, 5, 7, 7, 1], [v = -1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), And(x-
u^2+2 < y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [-569265/2097152, -569265/2097152], [1527887/
2097152, 1527887/2097152], [-2, -2]]]], [[4, 5, 7, 7, 2], [v = -1, And(-2^(1/2
) < u,u < -1), And(u^2-2 < x,x < 0), And(x-u^2+2 < y,y < u^2+x), z = -(y-x)^(1
/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-\
569265/2097152, -569265/2097152], [1527887/2097152, 1527887/2097152], [-1, -1]
]]], [[4, 5, 7, 7, 3], [v = -1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0)
, And(x-u^2+2 < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-569265/
2097152, -569265/2097152], [1527887/2097152, 1527887/2097152], [0, 0]]]], [[4,
5, 7, 7, 4], [v = -1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), And(x-u^
2+2 < y,y < u^2+x), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [-569265/2097152, -569265/2097152], [1527887/
2097152, 1527887/2097152], [1, 1]]]], [[4, 5, 7, 7, 5], [v = -1, And(-2^(1/2)
< u,u < -1), And(u^2-2 < x,x < 0), And(x-u^2+2 < y,y < u^2+x), (y-x)^(1/2) < z
], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-569265/
2097152, -569265/2097152], [1527887/2097152, 1527887/2097152], [2, 2]]]], [[4,
9, 10, 7, 1], [v = -1, And(0 < u,u < 1), x = 1, And(u^2+1 < y,y < -u^2+3), z <
-(y-1)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [1, 1], [2, 2], [-2, -2]
]]], [[4, 9, 10, 7, 2], [v = -1, And(0 < u,u < 1), x = 1, And(u^2+1 < y,y < -u
^2+3), z = -(y-1)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [1, 1], [2, 2
], [-1, -1]]]], [[4, 9, 10, 7, 3], [v = -1, And(0 < 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], [1/2, 1/2], [1, 1], [2, 2], [0, 0]]]], [[4, 9, 10, 7, 4], [v = -1, And(0
< u,u < 1), x = 1, And(u^2+1 < y,y < -u^2+3), z = (y-1)^(1/2)], [regular_chain
, [[-1, -1], [1/2, 1/2], [1, 1], [2, 2], [1, 1]]]], [[4, 9, 10, 7, 5], [v = -1
, And(0 < u,u < 1), x = 1, And(u^2+1 < y,y < -u^2+3), (y-1)^(1/2) < z], [
regular_chain, [[-1, -1], [1/2, 1/2], [1, 1], [2, 2], [2, 2]]]], [[4, 11, 11,
2, 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, 1, 5, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x < -3, And(x < y,y < x+3
), z < -(y-x)^(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 < y,y < x+3), z = -(y-x)^(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 <
y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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 < y,y < x+3), z = (y-x)^(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 < y,y < x+3), (y-x)^(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 = x, z < 0], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [1534619/2097152, 1534619/2097152], [767309/1048576, 383655/
524288], [-1, -1]]]], [[5, 3, 9, 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], [1534619/
2097152, 1534619/2097152], [767309/1048576, 383655/524288], [0, 0]]]], [[5, 3,
9, 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], [1534619/2097152, 1534619/2097152], [767309/1048576,
383655/524288], [1, 1]]]], [[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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(
1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [2, 2],
[3388749/1048576, 3388749/1048576], [-3, -3]]]], [[5, 11, 11, 7, 2], [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 = -(y-x)^(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, 7, 3], [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), And(-(y-x)^(1/2) < z,
z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [2, 2], [3388749/1048576, 3388749/1048576], [0, 0]]]], [[5, 11, 11, 7
, 4], [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 = (y-x)^(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, 7, 5], [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), (y-x)
^(1/2) < z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [2
, 2], [3388749/1048576, 3388749/1048576], [3, 3]]]], [[5, 13, 8, 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, 8, 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, 8, 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, 10, 2, 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, 10, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 8, 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, 8, 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, 8,
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, 8, 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, 8, 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
, 7, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 2), z <
-(y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1, -1], [1, 1], [-\
3, -3]]]], [[7, 2, 4, 7, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -1, 
And(0 < y,y < 2), z = -(y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2]
, [-1, -1], [1, 1], [-1482911/1048576, -741455/524288]]]], [[7, 2, 4, 7, 3], [
And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 2), And(-(y+1)^(1/
2) < z,z < (y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1, -1],
[1, 1], [0, 0]]]], [[7, 2, 4, 7, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x
= -1, And(0 < y,y < 2), z = (y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2,
-3/2], [-1, -1], [1, 1], [741455/524288, 1482911/1048576]]]], [[7, 2, 4, 7, 5]
, [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 2), (y+1)^(1/2)
< z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1, -1], [1, 1], [3, 3]]]],
[[7, 7, 11, 8, 1], [And(0 < v,v < 1), And(-v < u,u < v), 1 < x, y = x-u^2+v^2+
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, 8, 2], [And(0 < v,v < 1), And(-v < u,u < v)
, 1 < x, y = x-u^2+v^2+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, 8, 3], [And(0 < v,v < 1), And(-v < u,u < v), 1 < x, y = x-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], [2, 2], [13/4, 13/4], [0, 0]]]], [[7, 7, 11, 8, 4], [And(0 < v,v < 1
), And(-v < u,u < v), 1 < x, y = x-u^2+v^2+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, 8, 5], [And(0 < v,v < 1), And(-v < u,u < v), 1
< x, y = x-u^2+v^2+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, 10, 1, 3, 1], [And(0 < v,v < 1), u
= (v^2+1)^(1/2), x < -2, And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain
, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-3, -3], [-2, -2], [-2, -2]]
]], [[7, 10, 1, 3, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x < -2, And(x < y
,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 
146543/131072], [-3, -3], [-2, -2], [-1, -1]]]], [[7, 10, 1, 3, 3], [And(0 < v
,v < 1), u = (v^2+1)^(1/2), x < -2, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072]
, [-3, -3], [-2, -2], [0, 0]]]], [[7, 10, 1, 3, 4], [And(0 < v,v < 1), u = (v^
2+1)^(1/2), x < -2, And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[1/
2, 1/2], [1172343/1048576, 146543/131072], [-3, -3], [-2, -2], [1, 1]]]], [[7,
10, 1, 3, 5], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x < -2, And(x < y,y < x+2)
, (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/
131072], [-3, -3], [-2, -2], [2, 2]]]], [[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+2), z < -(y-x)^(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, 5, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2)
, And(-1 < x,x < 0), And(0 < y,y < x+2), z = -(y-x)^(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, 5, 3], [And(0 < v,v < 1), u =
(v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), And(-(y-x)^(1/2) < z,z <
(y-x)^(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, 5, 4], [And(0 < v,v < 1), u =
(v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), z = (y-x)^(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, 5, 5], [And(0 < v,v
< 1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), (y-x)^(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, 9, 1], [And(0 < v,v < 1), u = (v^2+2)^(1
/2), And(-3 < x,x < -1), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/
2], [3/2, 3/2], [-2, -2], [2, 2], [-3, -3]]]], [[7, 12, 3, 9, 2], [And(0 < v,v
< 1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), x+3 < y, z = -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [-2, -2], [2, 2], [-2, -2]]]], [[7, 12
, 3, 9, 3], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), x+3 < y,
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [3/2, 3/2
], [-2, -2], [2, 2], [0, 0]]]], [[7, 12, 3, 9, 4], [And(0 < v,v < 1), u = (v^2
+2)^(1/2), And(-3 < x,x < -1), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[1/
2, 1/2], [3/2, 3/2], [-2, -2], [2, 2], [2, 2]]]], [[7, 12, 3, 9, 5], [And(0 <
v,v < 1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), x+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [-2, -2], [2, 2], [3, 3]]]], [[8, 4, 3
, 7, 1], [v = 1, u = -2^(1/2), And(-2 < x,x < -1), x+2 < y, z < -(y-x)^(1/2)],
[regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-3/2, -3/2], [2,
2], [-3, -3]]]], [[8, 4, 3, 7, 2], [v = 1, u = -2^(1/2), And(-2 < x,x < -1), x
+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455
/524288], [-3/2, -3/2], [2, 2], [-7846825/4194304, -980853/524288]]]], [[8, 4,
3, 7, 3], [v = 1, u = -2^(1/2), And(-2 < x,x < -1), x+2 < y, And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [-3/2, -3/2], [2, 2], [0, 0]]]], [[8, 4, 3, 7, 4], [v = 1, u = -2^(1/
2), And(-2 < x,x < -1), x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-\
1482911/1048576, -741455/524288], [-3/2, -3/2], [2, 2], [980853/524288, 
1961707/1048576]]]], [[8, 4, 3, 7, 5], [v = 1, u = -2^(1/2), And(-2 < x,x < -1
), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-1482911/1048576, -\
741455/524288], [-3/2, -3/2], [2, 2], [3, 3]]]], [[8, 6, 3, 1, 1], [v = 1, u =
-1, And(-1 < x,x < 0), y < x, z = z], [regular_chain, [[1, 1], [-1, -1], [-1/2
, -1/2], [-2, -2], [0, 0]]]], [[8, 10, 6, 1, 1], [v = 1, u = 1, x = 1, y < 0,
z = z], [regular_chain, [[1, 1], [1, 1], [1, 1], [-1, -1], [0, 0]]]], [[8, 12,
7, 2, 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, 2, 6, 7, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 0, 3 < y, z <
-y^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [0, 0], [4, 4], [-3, -3]]]], [[9, 2, 6, 7, 2], [
And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 0, 3 < y, z = -y^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [0, 0], [4, 4], [-2, -2]]]], [[9, 2, 6, 7, 3], [And(1 < v,v
< 2^(1/2)), u = -(v^2+2)^(1/2), x = 0, 3 < y, 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, 7, 4], [And(1 < v,v <
2^(1/2)), u = -(v^2+2)^(1/2), x = 0, 3 < y, z = y^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [0, 0
], [4, 4], [2, 2]]]], [[9, 2, 6, 7, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^
(1/2), x = 0, 3 < y, y^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [0, 0], [4, 4], [3, 3]]]], [[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, 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,
2, 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, 2, 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, 5, 3, 1], [And(1 <
v,v < 2^(1/2)), u = v, And(0 < x,x < 1), And(0 < y,y < x), z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[9, 14, 6, 2, 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, 2, 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, 2, 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, 6, 2, 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, 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-1, z = z], [regular_chain, [[741455/524288, 1482911/1048576]
, [0, 0], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[10, 16, 1, 1, 1], [v = 2^(1
/2), u = 3^(1/2), x < -2, y < x, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [908093/524288, 1816187/1048576], [-3, -3], [-4, -4], [0, 0]
]]], [[10, 17, 11, 4, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, y = x-u
^2+3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [2, 2], [397921/262144, 1591685/1048576], [0, 0]]]]
, [[10, 18, 3, 5, 1], [v = 2^(1/2), u = 2, And(-3 < x,x < -1), And(x < y,y < 0
), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And
(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x
< y,y < 0), (y-x)^(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 = 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,
8, 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, 8, 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, 8, 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, 8, 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, 7, 1], [2^(1/2) < v, u = -v, x < -1, 0 < y, z < -(y-x)^
(1/2)], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [1, 1], [-3, -3]]]], [[11
, 6, 1, 7, 2], [2^(1/2) < v, u = -v, x < -1, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-3, -3], [-2, -2], [1, 1], [-1816187/1048576, -\
3632373/2097152]]]], [[11, 6, 1, 7, 3], [2^(1/2) < v, u = -v, x < -1, 0 < y, 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-3, -3], [-2
, -2], [1, 1], [-1/4194304, -1/4194304]]]], [[11, 6, 1, 7, 4], [2^(1/2) < v, u
= -v, x < -1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [-2,
-2], [1, 1], [908093/524288, 1816187/1048576]]]], [[11, 6, 1, 7, 5], [2^(1/2)
< v, u = -v, x < -1, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-3, -3
], [-2, -2], [1, 1], [3, 3]]]], [[11, 8, 3, 3, 1], [2^(1/2) < v, u = -(v^2-1)^
(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain
, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2], [-3/4, -3/4],
[-2, -2]]]], [[11, 8, 3, 3, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-2 < x,x
< -1), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(
-2 < x,x < -1), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [2^(1/2) < v, u =
-(v^2-1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [2^(1/2) <
v, u = -(v^2-1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), (y-x)^(1/2) < z],
[regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2],
[-3/4, -3/4], [2, 2]]]], [[11, 12, 1, 6, 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, 6, 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, 6, 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, 6
, 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, 6, 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, 10, 2, 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, 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 = x, z < 0], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [129511/524288, 129511/524288], [129511/
524288, 129511/524288], [-1, -1]]]], [[11, 19, 7, 6, 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, 6, 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, 9, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -1, u^2-v^2 < y, z < -
(y+1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-1, -1], [17, 17], [-6, -6]]]]
, [[11, 21, 4, 9, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -1, u^2-v^2 < y, z
= -(y+1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-1, -1], [17, 17], [-\
1112183/262144, -4448731/1048576]]]], [[11, 21, 4, 9, 3], [2^(1/2) < v, (v^2+2
)^(1/2) < u, x = -1, u^2-v^2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[3, 3], [5, 5], [-1, -1], [17, 17], [0, 0]]]], [[11, 21, 4, 9,
4], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -1, u^2-v^2 < y, z = (y+1)^(1/2)], [
regular_chain, [[3, 3], [5, 5], [-1, -1], [17, 17], [4448731/1048576, 1112183/
262144]]]], [[11, 21, 4, 9, 5], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -1, u^2-v
^2 < y, (y+1)^(1/2) < z], [regular_chain, [[3, 3], [5, 5], [-1, -1], [17, 17],
[6, 6]]]], [[1, 4, 6, 4, 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, 4, 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, 4, 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, 4, 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,
4, 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, 3, 1], [v < -2^(1/2), u = v, And(0 < x,x < 1), And(0 < y,
y < x), z = z], [regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2], [1/4, 1/4], [
0, 0]]]], [[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(u^2-v^2+x+1 < y,y < x), 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], [133259/262144, 533037/1048576], [-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], [133259/262144, 533037/
1048576], [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], [
133259/262144, 533037/1048576], [1, 1]]]], [[1, 17, 11, 2, 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, 10, 1, 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], [-1
, -1], [0, 0]]]], [[2, 3, 9, 8, 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], [3379641/1048576, 1689821/524288], [-3, -3]]]],
[[2, 3, 9, 8, 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], [3379641/1048576, 1689821/524288], [-825991/524288, -3303963/2097152]
]]], [[2, 3, 9, 8, 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], [3379641/1048576, 1689821/
524288], [-1/4194304, -1/4194304]]]], [[2, 3, 9, 8, 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], [3379641/1048576, 1689821/
524288], [1651981/1048576, 825991/524288]]]], [[2, 3, 9, 8, 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], [3379641/1048576, 1689821/
524288], [3, 3]]]], [[2, 5, 8, 5, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v),
x = 0, And(-u^2+3 < y,y < u^2-1), z < -y^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [0, 0], [1, 1]
, [-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 < u^2-1), z = -y^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [-6598195/4194304, -6598195/4194304], [0, 0], [1, 1], [-1,
-1]]]], [[2, 5, 8, 5, 3], [v = -2^(1/2), And(-3^(1/2) < 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], [-6598195/4194304, -6598195/4194304], [0, 0]
, [1, 1], [0, 0]]]], [[2, 5, 8, 5, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v),
x = 0, And(-u^2+3 < y,y < u^2-1), z = y^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [0, 0], [1, 1]
, [1, 1]]]], [[2, 5, 8, 5, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 0,
And(-u^2+3 < y,y < u^2-1), y^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [0, 0], [1, 1], [2, 2]]]
], [[2, 5, 11, 9, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), 1 < x, u^2+x-1 <
y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [2, 2], [5, 5], [-3, -3]]]], [[2, 5, 11, 9
, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), 1 < x, u^2+x-1 < y, z = -(y-x)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304,
-6598195/4194304], [2, 2], [5, 5], [-1816187/1048576, -3632373/2097152]]]], [[
2, 5, 11, 9, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), 1 < x, u^2+x-1 < y, 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [2, 2], [5, 5], [-1/
4194304, -1/4194304]]]], [[2, 5, 11, 9, 4], [v = -2^(1/2), And(-3^(1/2) < u,u
< v), 1 < x, u^2+x-1 < y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [-6598195/4194304, -6598195/4194304], [2, 2], [5, 5], [
908093/524288, 1816187/1048576]]]], [[2, 5, 11, 9, 5], [v = -2^(1/2), And(-3^(
1/2) < u,u < v), 1 < x, u^2+x-1 < y, (y-x)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [2, 2]
, [5, 5], [3, 3]]]], [[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 = 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, 2, 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, 2, 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, 7, 6, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2))
, And(u^2-3 < x,x < 0), y = x-u^2+3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-275385
/1048576, -275385/1048576], [275385/1048576, 137693/524288], [-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
= x-u^2+3, z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-275385/1048576, -275385/1048576
], [275385/1048576, 137693/524288], [-1519901/2097152, -379975/524288]]]], [[2
, 15, 7, 6, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0),
y = x-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], [-275385
/1048576, -275385/1048576], [275385/1048576, 137693/524288], [0, 0]]]], [[2, 
15, 7, 6, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y
= x-u^2+3, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-275385/1048576, -275385/1048576
], [275385/1048576, 137693/524288], [379975/524288, 759951/1048576]]]], [[2, 
15, 7, 6, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y
= x-u^2+3, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-275385/1048576, -275385/1048576
], [275385/1048576, 137693/524288], [2, 2]]]], [[2, 19, 6, 6, 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, 6,
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, 6, 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, 6, 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, 6,
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, 5, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x < -3, And(x < y,
y < x+3), z < -(y-x)^(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 < y,y < x+3), z = -(y-x)^(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 < y,y < x+3), And(-(y-x)^(1/2) < z,z
< (y-x)^(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 < y,y <
x+3), z = (y-x)^(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 < y,y < x+3), (y-x)^(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 < 0, z = z], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [1
/2, 1/2], [-1, -1], [0, 0]]]], [[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(x <
y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [239655/1048576, 239655/1048576], [763943/524288, 
763943/524288], [-3, -3]]]], [[3, 9, 7, 7, 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(x < y,y
< x-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [239655/1048576, 239655/1048576], [763943/524288, 
763943/524288], [-1162243/1048576, -581121/524288]]]], [[3, 9, 7, 7, 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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [239655/
1048576, 239655/1048576], [763943/524288, 763943/524288], [0, 0]]]], [[3, 9, 7
, 7, 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(x < y,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [239655/1048576,
239655/1048576], [763943/524288, 763943/524288], [581121/524288, 1162243/
1048576]]]], [[3, 9, 7, 7, 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(x < y,y < x-u^2+v^2+1), (
y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0]
, [239655/1048576, 239655/1048576], [763943/524288, 763943/524288], [3, 3]]]],
[[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 = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3
], [0, 0], [-13721443/2097152, -6860721/1048576], [0, 0]]]], [[4, 2, 1, 1, 1],
[v = -1, u = -3^(1/2), x < -3, y < x-1, z = z], [regular_chain, [[-1, -1], [-\
1816187/1048576, -3632373/2097152], [-4, -4], [-6, -6], [0, 0]]]], [[4, 7, 8,
2, 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, 2, 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, 2, 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, 1, 1], [v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 0), y < x
, z = z], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8], [-2, -2], [0, 0
]]]], [[4, 13, 10, 1, 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],
[-1, -1], [0, 0]]]], [[4, 15, 6, 7, 1], [v = -1, 3^(1/2) < u, x = 0, u^2 < y,
z < -y^(1/2)], [regular_chain, [[-1, -1], [3, 3], [0, 0], [10, 10], [-5, -5]]]
], [[4, 15, 6, 7, 2], [v = -1, 3^(1/2) < u, x = 0, u^2 < y, z = -y^(1/2)], [
regular_chain, [[-1, -1], [3, 3], [0, 0], [10, 10], [-3315889/1048576, -207243
/65536]]]], [[4, 15, 6, 7, 3], [v = -1, 3^(1/2) < u, x = 0, u^2 < y, And(-y^(1
/2) < z,z < y^(1/2))], [regular_chain, [[-1, -1], [3, 3], [0, 0], [10, 10], [0
, 0]]]], [[4, 15, 6, 7, 4], [v = -1, 3^(1/2) < u, x = 0, u^2 < y, z = y^(1/2)]
, [regular_chain, [[-1, -1], [3, 3], [0, 0], [10, 10], [207243/65536, 3315889/
1048576]]]], [[4, 15, 6, 7, 5], [v = -1, 3^(1/2) < u, x = 0, u^2 < y, y^(1/2)
< z], [regular_chain, [[-1, -1], [3, 3], [0, 0], [10, 10], [5, 5]]]], [[5, 5,
8, 3, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 0, And(0 < y,
y < -u^2+v^2+1), z < -y^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [0, 0], [312209/1048576, 312209/1048576], [-2, -2]
]]], [[5, 5, 8, 3, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x =
0, And(0 < y,y < -u^2+v^2+1), z = -y^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [0, 0], [312209/1048576, 312209/1048576],
[-572167/1048576, -1144333/2097152]]]], [[5, 5, 8, 3, 3], [And(-1 < v,v < 0),
And(-(v^2+1)^(1/2) < u,u < v), x = 0, And(0 < 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], [312209/1048576, 312209/1048576], [-1/4194304, -1/4194304]]]
], [[5, 5, 8, 3, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 0,
And(0 < y,y < -u^2+v^2+1), z = y^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [0, 0], [312209/1048576, 312209/1048576],
[286083/524288, 572167/1048576]]]], [[5, 5, 8, 3, 5], [And(-1 < v,v < 0), And(
-(v^2+1)^(1/2) < u,u < v), x = 0, And(0 < y,y < -u^2+v^2+1), y^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [0, 0], [
312209/1048576, 312209/1048576], [2, 2]]]], [[5, 7, 8, 7, 1], [And(-1 < v,v <
0), And(v < u,u < -v), x = 0, -u^2+v^2+1 < y, z < -y^(1/2)], [regular_chain, [
[-1/2, -1/2], [0, 0], [0, 0], [3, 3], [-3, -3]]]], [[5, 7, 8, 7, 2], [And(-1 <
v,v < 0), And(v < u,u < -v), x = 0, -u^2+v^2+1 < y, z = -y^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [0, 0], [3, 3], [-1816187/1048576, -\
3632373/2097152]]]], [[5, 7, 8, 7, 3], [And(-1 < v,v < 0), And(v < u,u < -v),
x = 0, -u^2+v^2+1 < y, 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, 7, 4],
[And(-1 < v,v < 0), And(v < u,u < -v), x = 0, -u^2+v^2+1 < y, z = y^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [0, 0], [3, 3], [908093/524288, 1816187/
1048576]]]], [[5, 7, 8, 7, 5], [And(-1 < v,v < 0), And(v < u,u < -v), x = 0, -
u^2+v^2+1 < y, y^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [0, 0], [3
, 3], [3, 3]]]], [[5, 8, 1, 4, 1], [And(-1 < v,v < 0), u = -v, x < -1, y = x+1
, 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 = x+1, 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 = x+1, 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 = x+1, 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 = x+1, 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 < -2, z = z], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-2, -2], [-3,
-3], [0, 0]]]], [[6, 2, 3, 4, 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, 4, 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, 4, 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, 3, 1], [v
= 0, And(-2^(1/2) < u,u < -1), 1 < x, And(0 < y,y < x-u^2+1), z = z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [2, 2], [1617841
/2097152, 1617841/2097152], [0, 0]]]], [[6, 8, 3, 7, 1], [v = 0, u = 1, And(-2
< x,x < -1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3/
2, -3/2], [2, 2], [-3, -3]]]], [[6, 8, 3, 7, 2], [v = 0, u = 1, And(-2 < x,x <
-1), x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/2]
, [2, 2], [-7846825/4194304, -980853/524288]]]], [[6, 8, 3, 7, 3], [v = 0, u =
1, And(-2 < x,x < -1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [2, 2], [0, 0]]]], [[6, 8, 3, 7,
4], [v = 0, u = 1, And(-2 < x,x < -1), x+2 < y, z = (y-x)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [2, 2], [980853/524288, 1961707/
1048576]]]], [[6, 8, 3, 7, 5], [v = 0, u = 1, And(-2 < x,x < -1), x+2 < y, (y-
x)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [2, 2], [3, 3]]]
], [[6, 10, 1, 9, 1], [v = 0, u = 2^(1/2), x < -3, 0 < y, z < -(y-x)^(1/2)], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-4, -4], [1, 1], [-\
4, -4]]]], [[6, 10, 1, 9, 2], [v = 0, u = 2^(1/2), x < -3, 0 < y, z = -(y-x)^(
1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-4, -4], [1
, 1], [-146543/65536, -2344687/1048576]]]], [[6, 10, 1, 9, 3], [v = 0, u = 2^(
1/2), x < -3, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [
[0, 0], [741455/524288, 1482911/1048576], [-4, -4], [1, 1], [0, 0]]]], [[6, 10
, 1, 9, 4], [v = 0, u = 2^(1/2), x < -3, 0 < y, z = (y-x)^(1/2)], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-4, -4], [1, 1], [
2344687/1048576, 146543/65536]]]], [[6, 10, 1, 9, 5], [v = 0, u = 2^(1/2), x <
-3, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [-4, -4], [1, 1], [4, 4]]]], [[7, 4, 1, 5, 1], [And(0 < v,v < 1), u
= -(v^2+1)^(1/2), x < -2, And(x+2 < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3, -3], [-1/
2, -1/2], [-3, -3]]]], [[7, 4, 1, 5, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2)
, x < -2, And(x+2 < y,y < 0), z = -(y-x)^(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, 5, 3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x
< -2, And(x+2 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3, -3], [-1/
2, -1/2], [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 < 0), z = (y-x)^(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, 5, 5], [And(0 < v,v < 1), u = -(v^2+1)^(1/2),
x < -2, And(x+2 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-\
146543/131072, -1172343/1048576], [-3, -3], [-1/2, -1/2], [3, 3]]]], [[7, 5, 
11, 4, 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, 4, 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, 4, 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, 4, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, u^2-v
^2-1 < x, y = x-u^2+v^2+1, z = z], [regular_chain, [[1/2, 1/2], [3, 3], [9, 9]
, [5/4, 5/4], [0, 0]]]], [[8, 2, 6, 5, 1], [v = 1, u = -3^(1/2), x = 0, And(0
< y,y < 3), z < -y^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [0, 0], [3/2, 3/2], [-3, -3]]]], [[8, 2, 6, 5, 2], [v = 1, u
= -3^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 3], [v = 1, u = -3^(1/2), x = 0, And(0 < y,y
< 3), 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, 5, 4], [
v = 1, u = -3^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 5], [v = 1, u = -3^(1/2), x = 0, 
And(0 < y,y < 3), y^(1/2) < z], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [0, 0], [3/2, 3/2], [3, 3]]]], [[8, 8, 3, 1, 1], [v = 1, u =
0, And(-2 < x,x < -1), y < x, z = z], [regular_chain, [[1, 1], [0, 0], [-3/2,
-3/2], [-3, -3], [0, 0]]]], [[8, 10, 1, 7, 1], [v = 1, u = 1, x < -1, 0 < y, z
< -(y-x)^(1/2)], [regular_chain, [[1, 1], [1, 1], [-2, -2], [1, 1], [-3, -3]]]
], [[8, 10, 1, 7, 2], [v = 1, u = 1, x < -1, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[1, 1], [1, 1], [-2, -2], [1, 1], [-1816187/1048576, -3632373/
2097152]]]], [[8, 10, 1, 7, 3], [v = 1, u = 1, x < -1, 0 < y, And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [1, 1], [-2, -2], [1, 1], [-1/
4194304, -1/4194304]]]], [[8, 10, 1, 7, 4], [v = 1, u = 1, x < -1, 0 < y, z =
(y-x)^(1/2)], [regular_chain, [[1, 1], [1, 1], [-2, -2], [1, 1], [908093/
524288, 1816187/1048576]]]], [[8, 10, 1, 7, 5], [v = 1, u = 1, x < -1, 0 < y,
(y-x)^(1/2) < z], [regular_chain, [[1, 1], [1, 1], [-2, -2], [1, 1], [3, 3]]]]
, [[8, 14, 4, 1, 1], [v = 1, u = 3^(1/2), x = -1, y < -2, z = z], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1, -1], [-3, -3],
[0, 0]]]], [[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 = x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-3, -3], [-10, -10], [-10, -10], [-1, -1]]]], [[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 = x, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10, -10], [-10
, -10], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-10, -10], [-10, -10], [1, 1]]]], [[9, 6, 3, 2, 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, 2, 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, 2, 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, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -1, And(-1 <
y,y < 0), z < -(y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [-1, -1], [-1/2, -1/2], [-2, -2]
]]], [[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 = -(y+1)^(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, 3, 3], [And(1 < v,v < 2^(1/
2)), u = -(v^2-1)^(1/2), x = -1, And(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (
y+1)^(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 = (y
+1)^(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, 3, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -1, 
And(-1 < y,y < 0), (y+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1417877/2097152, -354469/524288], [-1, -1], [-1/2, -1/2],
[2, 2]]]], [[9, 8, 8, 2, 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, 7, 3, 1]
, [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(0 < x,x < 1), And(0 < y,y <
x), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[9, 16, 3, 6, 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, 6, 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,
6, 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, 6, 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, 6, 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, 9, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, u^2
-v^2-1 < x, u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [8, 8], [18, 18], [-5, -5]]]], [[9, 17, 11,
9, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, u^2-v^2+x+1
< y, z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
3, 3], [8, 8], [18, 18], [-3315889/1048576, -207243/65536]]]], [[9, 17, 11, 9,
3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, u^2-v^2+x+1 < y
, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [8, 8], [18, 18], [0, 0]]]], [[9, 17, 11, 9, 4], [
And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, u^2-v^2+x+1 < y, z =
(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [8,
8], [18, 18], [207243/65536, 3315889/1048576]]]], [[9, 17, 11, 9, 5], [And(1 <
v,v < 2^(1/2)), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, u^2-v^2+x+1 < y, (y-x)^(1/2)
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [8, 8], [18
, 18], [5, 5]]]], [[10, 4, 8, 3, 1], [v = 2^(1/2), u = -3^(1/2), x = 1, And(0
< y,y < 1), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1816187/1048576, -3632373/2097152], [1, 1], [1/2, 1/2], [0, 0]]]], [[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, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [-3, -3], [1, 1], [-3, -3]]]], [[10,
12, 1, 7, 2], [v = 2^(1/2), u = 1, x < -2, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3, -3], [1, 1], [-\
2, -2]]]], [[10, 12, 1, 7, 3], [v = 2^(1/2), u = 1, x < -2, 0 < y, And(-(y-x)^
(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576]
, [1, 1], [-3, -3], [1, 1], [0, 0]]]], [[10, 12, 1, 7, 4], [v = 2^(1/2), u = 1
, x < -2, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1, 1], [-3, -3], [1, 1], [2, 2]]]], [[10, 12, 1, 7, 5], [v = 2^(1/2
), u = 1, x < -2, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [-3, -3], [1, 1], [3, 3]]]], [[10, 14, 1, 1, 1], [v
= 2^(1/2), u = v, x < -1, y < x, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [741455/524288, 1482911/1048576], [-2, -2], [-3, -3], [0, 0]
]]], [[11, 2, 6, 1, 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], [-2,
-2], [0, 0]]]], [[11, 4, 4, 3, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -1, 
And(-1 < y,y < 0), z < -(y+1)^(1/2)], [regular_chain, [[3, 3], [-3315889/
1048576, -207243/65536], [-1, -1], [-1/2, -1/2], [-2, -2]]]], [[11, 4, 4, 3, 2
], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), z = -(y+1)^(1/
2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-1, -1], [-1
/2, -1/2], [-1482911/2097152, -741455/1048576]]]], [[11, 4, 4, 3, 3], [2^(1/2)
< v, u = -(v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (
y+1)^(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 = (y+1)^(1/2)], [regular_chain, [[3, 3], [-\
3315889/1048576, -207243/65536], [-1, -1], [-1/2, -1/2], [741455/1048576, 
46341/65536]]]], [[11, 4, 4, 3, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -1,
And(-1 < y,y < 0), (y+1)^(1/2) < z], [regular_chain, [[3, 3], [-3315889/
1048576, -207243/65536], [-1, -1], [-1/2, -1/2], [2, 2]]]], [[11, 10, 1, 1, 1]
, [2^(1/2) < v, u = -(v^2-2)^(1/2), x < -3, y < x-1, z = z], [regular_chain, [
[3, 3], [-5548543/2097152, -2774271/1048576], [-4, -4], [-6, -6], [0, 0]]]], [
[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 = 0, z = z], [regular_chain, [[3, 3], [0, 0], [9/
2, 9/2], [0, 0], [0, 0]]]], [[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], [516571/1048576, 129143/
262144], [-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], [516571/1048576, 129143/262144],
[-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], [516571/1048576, 129143/262144], [-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], [516571/1048576, 129143/262144], [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], [516571/1048576, 129143/262144], [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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(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(x < y,
y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < x-u^2+v^2+1), z = (y-x)^(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(x < y,y < x-
u^2+v^2+1), (y-x)^(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, 0 < y, z < -(
y-x)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [-2, -2], [1, 1], [-3, -3]]]
], [[1, 6, 1, 7, 2], [v < -2^(1/2), u = v, x < -1, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-3, -3], [-2, -2], [1, 1], [-1816187/1048576, -\
3632373/2097152]]]], [[1, 6, 1, 7, 3], [v < -2^(1/2), u = v, x < -1, 0 < y, 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-3, -3], [
-2, -2], [1, 1], [-1/4194304, -1/4194304]]]], [[1, 6, 1, 7, 4], [v < -2^(1/2),
u = v, x < -1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [
-2, -2], [1, 1], [908093/524288, 1816187/1048576]]]], [[1, 6, 1, 7, 5], [v < -
2^(1/2), u = v, x < -1, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-\
3, -3], [-2, -2], [1, 1], [3, 3]]]], [[1, 12, 3, 8, 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,
8, 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, 8, 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, 8, 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, 8, 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, 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), x-u^2+v^2
+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023
/524288], [133259/524288, 133259/524288], [4, 4], [-3, -3]]]], [[1, 13, 7, 9,
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), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [133259/524288, 133259/524288], [4, 4], [-\
16235433/8388608, -2029429/1048576]]]], [[1, 13, 7, 9, 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), x-u^2+v^2+1 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [1435023
/524288, 1435023/524288], [133259/524288, 133259/524288], [4, 4], [0, 0]]]], [
[1, 13, 7, 9, 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), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-\
3, -3], [1435023/524288, 1435023/524288], [133259/524288, 133259/524288], [4,
4], [2029429/1048576, 1014715/524288]]]], [[1, 13, 7, 9, 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), x-u^2+v^2
+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [133259/524288, 133259/524288], [4, 4], [3, 3]]]], [[1, 18, 1, 5, 1],
[v < -2^(1/2), u = (v^2+1)^(1/2), x < -2, And(x+2 < y,y < 0), z < -(y-x)^(1/2)
], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-3, -3], [-1/2
, -1/2], [-3, -3]]]], [[1, 18, 1, 5, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), x <
-2, And(x+2 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [207243/
65536, 3315889/1048576], [-3, -3], [-1/2, -1/2], [-3315889/2097152, -207243/
131072]]]], [[1, 18, 1, 5, 3], [v < -2^(1/2), u = (v^2+1)^(1/2), x < -2, And(x
+2 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -\
3], [207243/65536, 3315889/1048576], [-3, -3], [-1/2, -1/2], [0, 0]]]], [[1, 
18, 1, 5, 4], [v < -2^(1/2), u = (v^2+1)^(1/2), x < -2, And(x+2 < y,y < 0), z
= (y-x)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-\
3, -3], [-1/2, -1/2], [207243/131072, 1657945/1048576]]]], [[1, 18, 1, 5, 5],
[v < -2^(1/2), u = (v^2+1)^(1/2), x < -2, And(x+2 < y,y < 0), (y-x)^(1/2) < z]
, [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-3, -3], [-1/2,
-1/2], [3, 3]]]], [[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 = x, z < 0], [regular_chain, [[-3,
-3], [3396811/1048576, 3396811/1048576], [129511/524288, 129511/524288], [
129511/524288, 129511/524288], [-1, -1]]]], [[1, 19, 7, 6, 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,
6, 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, 2, 2, 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, 2, 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, 2, 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, 5, 8,
1, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 0, y < 0, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [0, 0], [-1, -1], [0, 0]]]], [[2, 6, 1, 4, 1], [v = -2^(1/2)
, u = v, x < -1, y = x+1, 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 = x+1, 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 = x+1, 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 = x+1, 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 = x+1, 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(0 < y,y < x)
, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[2, 13, 9, 6,
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], [501799/524288, 1003599/1048576], [-2,
-2]]]], [[2, 13, 9, 6, 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], [501799/524288, 
1003599/1048576], [-1417877/2097152, -354469/524288]]]], [[2, 13, 9, 6, 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], [501799/524288, 1003599/
1048576], [0, 0]]]], [[2, 13, 9, 6, 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], [
501799/524288, 1003599/1048576], [354469/524288, 708939/1048576]]]], [[2, 13,
9, 6, 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], [501799/524288, 1003599/1048576], [2,
2]]]], [[2, 15, 6, 1, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = u^2-3, y
< u^2-3, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097
/2097152, 3299097/2097152], [-1101541/2097152, -275385/524288], [-2, -2], [0,
0]]]], [[2, 19, 7, 3, 1], [v = -2^(1/2), 2 < u, And(0 < x,x < 1), And(x-u^2+3
< y,y < 0), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3
], [1/2, 1/2], [-11/4, -11/4], [0, 0]]]], [[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 = x-u^2+v^2+1, z = z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [7909297/
2097152, 7909297/2097152], [-2906073/1048576, -11624291/4194304], [0, 0]]]], [
[3, 7, 11, 3, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1
< x, And(0 < y,y < x), z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [1, 1], [0, 0]]]], [[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 = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [0, 0], [-479311/1048576, -239655/524288], [0, 0]]]]
, [[3, 17, 7, 7, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(0 < x,x
< 1), And(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [1/2, 1/2], [10006449/2097152, 
10006449/2097152], [-4, -4]]]], [[3, 17, 7, 7, 2], [And(-2^(1/2) < v,v < -1),
(v^2+2)^(1/2) < u, And(0 < x,x < 1), And(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 7, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(0 < x,
x < 1), And(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1/2, 1/2], [
10006449/2097152, 10006449/2097152], [0, 0]]]], [[3, 17, 7, 7, 4], [And(-2^(1/
2) < v,v < -1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(x < y,y < u^2-v^2+x+1
), z = (y-x)^(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, 7, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/
2) < u, And(0 < x,x < 1), And(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1/2, 1/2], [
10006449/2097152, 10006449/2097152], [4, 4]]]], [[4, 1, 9, 6, 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, 6, 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, 6, 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, 11, 5, 1], [v = -1, And(-1 < u,u < 0), 1 < x, And(x < y,y < u^2+x
), z < -(y-x)^(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(
x < y,y < u^2+x), z = -(y-x)^(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(x < y,y < u^2+x), And(-(y-x)^(1/2) < z,
z < (y-x)^(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(x < y
,y < u^2+x), z = (y-x)^(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(x < y,y < u^2+x), (y-x)^(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-u^2+2, z = z]
, [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [2, 2], [
799673/524288, 1599347/1048576], [0, 0]]]], [[4, 15, 4, 5, 1], [v = -1, 3^(1/2
) < u, x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^
(1/2) < z,z < (y+1)^(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(-1 <
y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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-u^2+v^2+1, z < -(-u^2+v^2+1)^(1
/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [2,
2], [1360785/524288, 2721571/1048576], [-2, -2]]]], [[5, 5, 11, 6, 2], [And(-1
< v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y = x-u^2+v^2+1, z = -(-u^2+
v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [2, 2], [1360785/524288, 2721571/1048576], [-1618333/2097152, -\
3236665/4194304]]]], [[5, 5, 11, 6, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2)
< u,u < v), 1 < x, y = x-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
], [2, 2], [1360785/524288, 2721571/1048576], [-1/8388608, -1/8388608]]]], [[5
, 5, 11, 6, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y =
x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631
/2097152, -1696631/2097152], [2, 2], [1360785/524288, 2721571/1048576], [
404583/524288, 809167/1048576]]]], [[5, 5, 11, 6, 5], [And(-1 < v,v < 0), And(
-(v^2+1)^(1/2) < u,u < v), 1 < x, y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [2, 2], [
1360785/524288, 2721571/1048576], [2, 2]]]], [[5, 7, 8, 3, 1], [And(-1 < v,v <
0), And(v < u,u < -v), x = 0, And(0 < y,y < u^2-v^2+1), z < -y^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [0, 0], [3/8, 3/8], [-2, -2]]]], [[5, 7,
8, 3, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x = 0, And(0 < y,y < u^2-v^2+
1), 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, 3, 3], [And(-1 < v,v < 0),
And(v < u,u < -v), x = 0, And(0 < 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], [3/8, 3/8], [0, 0]]]], [[
5, 7, 8, 3, 4], [And(-1 < v,v < 0), And(v < u,u < -v), x = 0, And(0 < y,y < u^
2-v^2+1), 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, 3, 5], [And(-1 < v,v < 0),
And(v < u,u < -v), x = 0, And(0 < y,y < u^2-v^2+1), y^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [0, 0], [0, 0], [3/8, 3/8], [2, 2]]]], [[5, 8, 2
, 1, 1], [And(-1 < v,v < 0), u = -v, x = -1, y < -1, z = z], [regular_chain, [
[-1/2, -1/2], [1/2, 1/2], [-1, -1], [-2, -2], [0, 0]]]], [[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-u^2+
v^2+1 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2],
[1696631/2097152, 1696631/2097152], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[5,
9, 9, 7, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x <
1), And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [
[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2], [3/2, 3/2], [-1,
-1]]]], [[5, 9, 9, 7, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), 
And(0 < x,x < 1), And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[5, 9, 9, 7, 4], [And(-1 < v,v <
0), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(x-u^2+v^2+1 < y,y < u
^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152
, 1696631/2097152], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[5, 9, 9, 7, 5], [And(
-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(x-u^2+v^2+
1 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[6, 2,
5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 9, 1], [v = 0, And(-2^(1/2) < u,u < -1), 
And(u^2-1 < x,x < 1), u^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[0, 0],
[-1265743/1048576, -1265743/1048576], [1527887/2097152, 1527887/2097152], [5,
5], [-4, -4]]]], [[6, 3, 9, 9, 2], [v = 0, And(-2^(1/2) < u,u < -1), And(u^2-1
< x,x < 1), u^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1265743
/1048576, -1265743/1048576], [1527887/2097152, 1527887/2097152], [5, 5], [-\
2167143/1048576, -1083571/524288]]]], [[6, 3, 9, 9, 3], [v = 0, And(-2^(1/2) <
u,u < -1), And(u^2-1 < x,x < 1), u^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [
1527887/2097152, 1527887/2097152], [5, 5], [0, 0]]]], [[6, 3, 9, 9, 4], [v = 0
, And(-2^(1/2) < u,u < -1), And(u^2-1 < x,x < 1), u^2+x+1 < y, z = (y-x)^(1/2)
], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [1527887/
2097152, 1527887/2097152], [5, 5], [1083571/524288, 2167143/1048576]]]], [[6,
3, 9, 9, 5], [v = 0, And(-2^(1/2) < u,u < -1), And(u^2-1 < x,x < 1), u^2+x+1 <
y, (y-x)^(1/2) < z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [1527887/2097152, 1527887/2097152], [5, 5], [4, 4]]]], [[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 = u^2+x+1, z < -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [1527887/2097152,
1527887/2097152], [1670203/524288, 3340407/1048576], [-3, -3]]]], [[6, 9, 9, 8
, 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], [1670203/524288, 3340407/1048576], [-410915
/262144, -3287319/2097152]]]], [[6, 9, 9, 8, 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], [1670203/524288, 3340407/1048576], [-1/4194304, -1/
4194304]]]], [[6, 9, 9, 8, 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], [1670203/524288
, 3340407/1048576], [1643659/1048576, 410915/262144]]]], [[6, 9, 9, 8, 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], [1670203/524288, 3340407/1048576], [3, 3]]]], [[7,
4, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 10, 1, 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], [-1, -1], [0, 0]]]], [[8, 1
, 1, 7, 1], [v = 1, u < -3^(1/2), x < -u^2, And(u^2+x < y,y < 0), z < -(y-x)^(
1/2)], [regular_chain, [[1, 1], [-3, -3], [-10, -10], [-1/2, -1/2], [-5, -5]]]
], [[8, 1, 1, 7, 2], [v = 1, u < -3^(1/2), x < -u^2, And(u^2+x < y,y < 0), z =
-(y-x)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-10, -10], [-1/2, -1/2], [-\
3231929/1048576, -403991/131072]]]], [[8, 1, 1, 7, 3], [v = 1, u < -3^(1/2), x
< -u^2, And(u^2+x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [-3, -3], [-10, -10], [-1/2, -1/2], [0, 0]]]], [[8, 1,
1, 7, 4], [v = 1, u < -3^(1/2), x < -u^2, And(u^2+x < y,y < 0), z = (y-x)^(1/2
)], [regular_chain, [[1, 1], [-3, -3], [-10, -10], [-1/2, -1/2], [403991/
131072, 3231929/1048576]]]], [[8, 1, 1, 7, 5], [v = 1, u < -3^(1/2), x < -u^2,
And(u^2+x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-3, -3], [-\
10, -10], [-1/2, -1/2], [5, 5]]]], [[8, 2, 4, 3, 1], [v = 1, u = -3^(1/2), x =
-1, And(-2 < y,y < -1), z = z], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [-3/2, -3/2], [0, 0]]]], [[8, 8, 7, 3, 1], [v = 1,
u = 0, And(0 < x,x < 1), And(0 < y,y < x), z = z], [regular_chain, [[1, 1], [0
, 0], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[8, 10, 1, 3, 1], [v = 1, u = 1, x <
-1, And(x < y,y < x+1), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [1, 1], [-\
2, -2], [-3/2, -3/2], [-2, -2]]]], [[8, 10, 1, 3, 2], [v = 1, u = 1, x < -1, 
And(x < y,y < x+1), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [1, 1], [-2, -\
2], [-3/2, -3/2], [-1482911/2097152, -741455/1048576]]]], [[8, 10, 1, 3, 3], [
v = 1, u = 1, x < -1, And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2)
)], [regular_chain, [[1, 1], [1, 1], [-2, -2], [-3/2, -3/2], [0, 0]]]], [[8, 
10, 1, 3, 4], [v = 1, u = 1, x < -1, And(x < y,y < x+1), z = (y-x)^(1/2)], [
regular_chain, [[1, 1], [1, 1], [-2, -2], [-3/2, -3/2], [741455/1048576, 46341
/65536]]]], [[8, 10, 1, 3, 5], [v = 1, u = 1, x < -1, And(x < y,y < x+1), (y-x
)^(1/2) < z], [regular_chain, [[1, 1], [1, 1], [-2, -2], [-3/2, -3/2], [2, 2]]
]], [[8, 14, 5, 4, 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, 4, 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, 4, 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, 9, 1], [v
= 1, 3^(1/2) < u, And(1 < x,x < u^2-2), u^2+x < y, z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [4, 4], [14, 14], [-5, -5]]]], [[8, 15, 9, 9,
2], [v = 1, 3^(1/2) < u, And(1 < x,x < u^2-2), u^2+x < y, z = -(y-x)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [4, 4], [14, 14], [-3315889/1048576, -207243/
65536]]]], [[8, 15, 9, 9, 3], [v = 1, 3^(1/2) < u, And(1 < x,x < u^2-2), u^2+x
< y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [3, 3],
[4, 4], [14, 14], [0, 0]]]], [[8, 15, 9, 9, 4], [v = 1, 3^(1/2) < u, And(1 < x
,x < u^2-2), u^2+x < y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [3, 3], [4,
4], [14, 14], [207243/65536, 3315889/1048576]]]], [[8, 15, 9, 9, 5], [v = 1, 3
^(1/2) < u, And(1 < x,x < u^2-2), u^2+x < y, (y-x)^(1/2) < z], [regular_chain,
[[1, 1], [3, 3], [4, 4], [14, 14], [5, 5]]]], [[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+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, 6, 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, 6, 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, 6, 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, 6, 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, 8, 6, 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, 6, 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, 6,
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, 6, 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, 6, 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, 3, 1, 1], [And(1 < v,v < 2^(1/2)
), u = (v^2-1)^(1/2), And(-2 < x,x < -1), y < x, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-3/2, -3/
2], [-3, -3], [0, 0]]]], [[9, 16, 5, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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], [6860721
/1048576, 3430361/524288], [-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], [6860721/1048576, 3430361/524288], [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], [6860721/1048576, 3430361/524288], [1, 1]]]], [[10,
4, 8, 7, 1], [v = 2^(1/2), u = -3^(1/2), x = 1, 3 < y, z < -(y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [1, 1], [4, 4], [-3, -3]]]], [[10, 4, 8, 7, 2], [v = 2^(1/2), u = -3
^(1/2), x = 1, 3 < y, 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, 7, 3], [v = 2^(1/2), u = -3
^(1/2), x = 1, 3 < y, 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, 7, 4], [v = 2^(1/2), u = -
3^(1/2), x = 1, 3 < y, 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, 7, 5], [v = 2^(1/2), u = -3^(1
/2), x = 1, 3 < y, (y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1816187/1048576, -3632373/2097152], [1, 1], [4, 4], [3, 3]]]], [[
10, 6, 3, 2, 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, 2, 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, 2, 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,
1, 1], [v = 2^(1/2), u = 1, And(-1 < x,x < 0), y < x, z = z], [regular_chain,
[[741455/524288, 1482911/1048576], [1, 1], [-1/2, -1/2], [-2, -2], [0, 0]]]],
[[10, 13, 10, 7, 1], [v = 2^(1/2), And(1 < u,u < v), x = 1, And(u^2 < y,y < -u
^2+4), z < -(y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [1, 1], [2, 2], [-2, -2]]]], [[10, 13, 10,
7, 2], [v = 2^(1/2), And(1 < u,u < v), x = 1, And(u^2 < y,y < -u^2+4), z = -(y
-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [1, 1], [2, 2], [-1, -1]]]], [[10, 13, 10, 7, 3], [
v = 2^(1/2), And(1 < 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], [
1265743/1048576, 1265743/1048576], [1, 1], [2, 2], [0, 0]]]], [[10, 13, 10, 7,
4], [v = 2^(1/2), And(1 < u,u < v), x = 1, And(u^2 < y,y < -u^2+4), z = (y-1)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [1, 1], [2, 2], [1, 1]]]], [[10, 13, 10, 7, 5], [v = 2^(1/2)
, And(1 < u,u < v), x = 1, And(u^2 < y,y < -u^2+4), (y-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [1, 1], [2, 2], [2, 2]]]], [[11, 2, 7, 6, 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, 6, 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, 6, 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, 4, 1, 2, 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,
2, 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, 2, 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, 4, 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, 4, 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, 4, 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, 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 < -(y-1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [1, 1], [12, 12
], [-5, -5]]]], [[11, 11, 8, 9, 2], [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 = -(y-1)^(1/2)], [regular_chain, [[3,
3], [0, 0], [1, 1], [12, 12], [-1738867/524288, -3477733/1048576]]]], [[11, 11
, 8, 9, 3], [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, 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, 9, 4], [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 = (y-1)^(1/2)], [
regular_chain, [[3, 3], [0, 0], [1, 1], [12, 12], [3477733/1048576, 1738867/
524288]]]], [[11, 11, 8, 9, 5], [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, (y-1)^(1/2) < z], [regular_chain, [[3, 3], [
0, 0], [1, 1], [12, 12], [5, 5]]]], [[11, 15, 9, 9, 1], [2^(1/2) < v, And((v^2
-1)^(1/2) < u,u < v), And(0 < x,x < 1), x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [4, 4]
, [-3, -3]]]], [[11, 15, 9, 9, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v),
And(0 < x,x < 1), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3],
[6111549/2097152, 6111549/2097152], [1/2, 1/2], [4, 4], [-7846825/4194304, -\
980853/524288]]]], [[11, 15, 9, 9, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u <
v), And(0 < x,x < 1), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [4, 4
], [0, 0]]]], [[11, 15, 9, 9, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v),
And(0 < x,x < 1), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3],
[6111549/2097152, 6111549/2097152], [1/2, 1/2], [4, 4], [980853/524288, 
1961707/1048576]]]], [[11, 15, 9, 9, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u
< v), And(0 < x,x < 1), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[3
, 3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [4, 4], [3, 3]]]], [[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 < x, z = z], [regular_chain, [[3, 3], [403851/131072, 403851/131072],
[-1062385/4194304, -1062385/4194304], [-2, -2], [0, 0]]]], [[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 = x-u^2+v^2+1,
z = z], [regular_chain, [[-3, -3], [-5, -5], [-9, -9], [-24, -24], [0, 0]]]],
[[1, 2, 5, 1, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y < x-\
1, z = z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-1
/2, -1/2], [-3, -3], [0, 0]]]], [[1, 8, 8, 7, 1], [v < -2^(1/2), u = -(v^2-1)^
(1/2), x = 1, 3 < y, z < -(y-1)^(1/2)], [regular_chain, [[-3, -3], [-2965821/
1048576, -11863283/4194304], [1, 1], [4, 4], [-3, -3]]]], [[1, 8, 8, 7, 2], [v
< -2^(1/2), u = -(v^2-1)^(1/2), x = 1, 3 < y, z = -(y-1)^(1/2)], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [1, 1], [4, 4
], [-1816187/1048576, -3632373/2097152]]]], [[1, 8, 8, 7, 3], [v < -2^(1/2), u
= -(v^2-1)^(1/2), x = 1, 3 < y, 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, 7, 4], [v < -2^(1/2), u = -(v^2-1)^
(1/2), x = 1, 3 < y, z = (y-1)^(1/2)], [regular_chain, [[-3, -3], [-2965821/
1048576, -11863283/4194304], [1, 1], [4, 4], [908093/524288, 1816187/1048576]]
]], [[1, 8, 8, 7, 5], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 1, 3 < y, (y-1)^(
1/2) < z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [
1, 1], [4, 4], [3, 3]]]], [[1, 10, 2, 1, 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], [-5, -5], [0, 0]]]], [[1, 14, 1, 3, 1], [v < -2^(1
/2), u = (v^2-1)^(1/2), x < -2, And(x < y,y < x+2), z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3, -3], [-2, -2]
, [-2, -2]]]], [[1, 14, 1, 3, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -2, 
And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [-3, -3], [-2, -2], [-1, -1]]]], [[1, 14, 1, 3, 3],
[v < -2^(1/2), u = (v^2-1)^(1/2), x < -2, And(x < y,y < x+2), And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [-3, -3], [-2, -2], [0, 0]]]], [[1, 14, 1, 3, 4], [v < -2^(1/2), u =
(v^2-1)^(1/2), x < -2, And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [
[-3, -3], [741455/262144, 2965821/1048576], [-3, -3], [-2, -2], [1, 1]]]], [[1
, 14, 1, 3, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -2, And(x < y,y < x+2),
(y-x)^(1/2) < z], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576],
[-3, -3], [-2, -2], [2, 2]]]], [[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 = 0, z < -(-x)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-516571/2097152
, -516571/2097152], [0, 0], [-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 = 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, 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 = 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, 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 = 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, 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 = 0, (-x)^(1/2) < z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-516571/2097152
, -516571/2097152], [0, 0], [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(x-u^2+v^2+1 < y,y < 0), z = z], [
regular_chain, [[-3, -3], [5, 5], [8, 8], [-7/2, -7/2], [0, 0]]]], [[2, 1, 11,
4, 1], [v = -2^(1/2), u < -2, u^2-3 < x, y = x-u^2+3, z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [-3, -3], [7, 7], [1, 1], [0, 0]]]], [[2,
10, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6
, 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, 7, 1], [v = -2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), And(0 < y,y
< x-u^2+3), z < -(y-x)^(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, 7, 2],
[v = -2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), And(0 < y,y < x-u^2+3), z
= -(y-x)^(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, 7, 3], [v = -2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), And(0 < y,y < x-
u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 4], [v = -2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), And(0 < y,
y < x-u^2+3), z = (y-x)^(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, 7, 5], [v = -2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), 
And(0 < y,y < x-u^2+3), (y-x)^(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,
8, 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], [3379641/
1048576, 1689821/524288], [-3, -3]]]], [[2, 17, 9, 8, 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], [3379641/1048576, 1689821/524288], [
-825991/524288, -3303963/2097152]]]], [[2, 17, 9, 8, 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], [3379641/
1048576, 1689821/524288], [-1/4194304, -1/4194304]]]], [[2, 17, 9, 8, 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], [3379641/1048576, 
1689821/524288], [1651981/1048576, 825991/524288]]]], [[2, 17, 9, 8, 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], [3379641/1048576, 
1689821/524288], [3, 3]]]], [[2, 19, 2, 7, 1], [v = -2^(1/2), 2 < u, x = -u^2+
1, 0 < y, z < -(u^2+y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [-8, -8], [1, 1], [-4, -4]]]], [[2, 19, 2, 7, 2], [v = -2^(1/
2), 2 < u, x = -u^2+1, 0 < y, z = -(u^2+y-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [-8, -8], [1, 1], [-3, -3]]]], [[2,
19, 2, 7, 3], [v = -2^(1/2), 2 < u, x = -u^2+1, 0 < y, 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, 7, 4], [v = -2^(1/2), 2 < u,
x = -u^2+1, 0 < y, z = (u^2+y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [-8, -8], [1, 1], [3, 3]]]], [[2, 19, 2, 7, 5], [v = -
2^(1/2), 2 < u, x = -u^2+1, 0 < y, (u^2+y-1)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [-8, -8], [1, 1], [4, 4]]]], [[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, u^2-v^2+2 < y, z < -(y-1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [1, 1], [5
, 5], [-3, -3]]]], [[3, 3, 10, 9, 2], [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+2 < y, z = -(y-1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [1, 1], [5, 5], [-2, -2]]]], [[3, 3, 10, 9, 3], [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+2 <
y, 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, 9, 4], [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+2 < y, z = (y-1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [1
, 1], [5, 5], [2, 2]]]], [[3, 3, 10, 9, 5], [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+2 < y, (y-1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [1, 1], [5, 5], [3, 3]]]], [[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 = 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], [367677/524288, 735355/1048576], [-3, -3]]]], [[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 = 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], [367677/524288, 735355/1048576], [-1270261
/1048576, -317565/262144]]]], [[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 = u^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], [367677/524288, 735355/1048576], [0, 0]]]], [[3, 5
, 5, 8, 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], [367677/524288, 735355/1048576], [317565/
262144, 1270261/1048576]]]], [[3, 5, 5, 8, 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], [
367677/524288, 735355/1048576], [3, 3]]]], [[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), x-u^2+v^2+1 < y, z
< -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [1/2, 1/2], [4, 4], [-3, -3]]]], [[3, 11, 9,
9, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x <
1), x-u^2+v^2+1 < y, z = -(y-x)^(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, 9, 3], [And(-2^(1/2) < v,v <
-1), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), x-u^2+v^2+1 < y, And(-(y
-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [4, 4], [0, 0]]]], [[3
, 11, 9, 9, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(
0 < x,x < 1), x-u^2+v^2+1 < y, z = (y-x)^(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, 9, 5], [And(-2^(1/2) < v,
v < -1), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), x-u^2+v^2+1 < y, (y-
x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [1/2, 1/2], [4, 4], [3, 3]]]], [[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 < 0, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [2, 2], [-1, -1], [0, 0]]]], [[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 < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [3, 3], [-3, -3]]]],
[[3, 15, 5, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-1/2, -1/2], [3, 3], [0, 0]]]], [[3, 15, 5, 9, 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), u^2-v^2
+x+1 < y, z = (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, (y-x)^(1/
2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288
, 898327/524288], [-1/2, -1/2], [3, 3], [3, 3]]]], [[4, 3, 11, 3, 1], [v = -1,
And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, And(0 < y,y < x-u^2+2), z = z], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [2, 2], [
1599345/2097152, 1599345/2097152], [0, 0]]]], [[4, 5, 6, 2, 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], [-\
1138531/2097152, -569265/1048576], [-1, -1]]]], [[4, 5, 6, 2, 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], [
-1138531/2097152, -569265/1048576], [0, 0]]]], [[4, 5, 6, 2, 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], [-\
1138531/2097152, -569265/1048576], [1, 1]]]], [[4, 9, 11, 2, 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, 7, 8, 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], [621627/524288,
1243255/1048576], [-3, -3]]]], [[4, 11, 7, 8, 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], [621627
/524288, 1243255/1048576], [-1265743/1048576, -1265743/1048576]]]], [[4, 11, 7
, 8, 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], [621627/524288, 1243255/1048576], [0, 0]
]]], [[4, 11, 7, 8, 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], [621627/524288, 1243255/1048576]
, [1265743/1048576, 1265743/1048576]]]], [[4, 11, 7, 8, 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], [
621627/524288, 1243255/1048576], [3, 3]]]], [[5, 2, 3, 9, 1], [And(-1 < v,v <
0), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), x+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-2, -2], [2, 2], [-3, -3]]]], [[5
, 2, 3, 9, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), x+3
< y, z = -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-2, -2],
[2, 2], [-2, -2]]]], [[5, 2, 3, 9, 3], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2),
And(-3 < x,x < -1), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-2, -2], [2, 2], [0, 0]]]], [[5,
2, 3, 9, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), x+3 <
y, z = (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-2, -2], [2
, 2], [2, 2]]]], [[5, 2, 3, 9, 5], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And
(-3 < x,x < -1), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3
/2, -3/2], [-2, -2], [2, 2], [3, 3]]]], [[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 < 0, z = z], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [243021/524288
, 486043/1048576], [-1, -1], [0, 0]]]], [[5, 12, 2, 1, 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], [-5, -5], [0, 0]]]], [[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 = z], [regular_chain, [[-1/2, -1/2
], [3, 3], [0, 0], [-31/4, -31/4], [0, 0]]]], [[6, 6, 2, 5, 1], [v = 0, u = 0,
x = -1, 0 < y, z < -(y+1)^(1/2)], [regular_chain, [[0, 0], [0, 0], [-1, -1], [
1, 1], [-3, -3]]]], [[6, 6, 2, 5, 2], [v = 0, u = 0, x = -1, 0 < y, z = -(y+1)
^(1/2)], [regular_chain, [[0, 0], [0, 0], [-1, -1], [1, 1], [-1482911/1048576,
-741455/524288]]]], [[6, 6, 2, 5, 3], [v = 0, u = 0, x = -1, 0 < y, And(-(y+1)
^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[0, 0], [0, 0], [-1, -1], [1, 1
], [0, 0]]]], [[6, 6, 2, 5, 4], [v = 0, u = 0, x = -1, 0 < y, z = (y+1)^(1/2)]
, [regular_chain, [[0, 0], [0, 0], [-1, -1], [1, 1], [741455/524288, 1482911/
1048576]]]], [[6, 6, 2, 5, 5], [v = 0, u = 0, x = -1, 0 < y, (y+1)^(1/2) < z],
[regular_chain, [[0, 0], [0, 0], [-1, -1], [1, 1], [3, 3]]]], [[6, 7, 10, 2, 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, 11, 4, 1], [v = 0, 2^(1/2) < u,
u^2-1 < x, y = x-u^2+1, z = z], [regular_chain, [[0, 0], [3, 3], [9, 9], [1, 1
], [0, 0]]]], [[7, 2, 2, 3, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -3,
And(-4 < y,y < -3), z = z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-3, -3
], [-7/2, -7/2], [0, 0]]]], [[7, 8, 5, 3, 1], [And(0 < v,v < 1), u = v, And(0
< x,x < 1), And(0 < y,y < x), z = z], [regular_chain, [[1/2, 1/2], [1/2, 1/2],
[1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[7, 9, 11, 8, 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], [
3569885/1048576, 1784943/524288], [-3, -3]]]], [[7, 9, 11, 8, 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]
, [3569885/1048576, 1784943/524288], [-19417/16384, -1242687/1048576]]]], [[7,
9, 11, 8, 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], [3569885/1048576, 
1784943/524288], [0, 0]]]], [[7, 9, 11, 8, 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], [
3569885/1048576, 1784943/524288], [1242687/1048576, 19417/16384]]]], [[7, 9, 
11, 8, 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], [3569885/1048576, 1784943/524288], [3, 3]]]], [[7, 
10, 6, 2, 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, 2, 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, 2, 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, 6, 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, 6, 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, 6, 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, 1, 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], [
-1, -1], [0, 0]]]], [[8, 6, 1, 1, 1], [v = 1, u = -1, x < -1, y < x, z = z], [
regular_chain, [[1, 1], [-1, -1], [-2, -2], [-3, -3], [0, 0]]]], [[8, 10, 6, 5
, 1], [v = 1, u = 1, x = 1, And(1 < y,y < 2), z < -(y-1)^(1/2)], [
regular_chain, [[1, 1], [1, 1], [1, 1], [3/2, 3/2], [-2, -2]]]], [[8, 10, 6, 5
, 2], [v = 1, u = 1, x = 1, And(1 < y,y < 2), z = -(y-1)^(1/2)], [
regular_chain, [[1, 1], [1, 1], [1, 1], [3/2, 3/2], [-1482911/2097152, -741455
/1048576]]]], [[8, 10, 6, 5, 3], [v = 1, u = 1, x = 1, And(1 < y,y < 2), 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, 5, 4], [v = 1, u = 1, x = 1, And(1 < y,y < 2)
, z = (y-1)^(1/2)], [regular_chain, [[1, 1], [1, 1], [1, 1], [3/2, 3/2], [
741455/1048576, 46341/65536]]]], [[8, 10, 6, 5, 5], [v = 1, u = 1, x = 1, And(
1 < y,y < 2), (y-1)^(1/2) < z], [regular_chain, [[1, 1], [1, 1], [1, 1], [3/2,
3/2], [2, 2]]]], [[8, 12, 2, 5, 1], [v = 1, u = 2^(1/2), x = -2, 0 < y, z < -(
y+2)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-2, -\
2], [1, 1], [-3, -3]]]], [[8, 12, 2, 5, 2], [v = 1, u = 2^(1/2), x = -2, 0 < y
, z = -(y+2)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576]
, [-2, -2], [1, 1], [-1816187/1048576, -3632373/2097152]]]], [[8, 12, 2, 5, 3]
, [v = 1, u = 2^(1/2), x = -2, 0 < y, And(-(y+2)^(1/2) < z,z < (y+2)^(1/2))],
[regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-2, -2], [1, 1], [
-1/4194304, -1/4194304]]]], [[8, 12, 2, 5, 4], [v = 1, u = 2^(1/2), x = -2, 0
< y, z = (y+2)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/
1048576], [-2, -2], [1, 1], [908093/524288, 1816187/1048576]]]], [[8, 12, 2, 5
, 5], [v = 1, u = 2^(1/2), x = -2, 0 < y, (y+2)^(1/2) < z], [regular_chain, [[
1, 1], [741455/524288, 1482911/1048576], [-2, -2], [1, 1], [3, 3]]]], [[9, 2,
9, 4, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), 1 < x, y = x-1, z = z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [2, 2], [1, 1], [0, 0]]]], [[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 < 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[1265743/1048576, 1265743/1048576], [2, 2], [-1, -1], [0, 0]]]], [[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 <
y,y < 0), z < -(y-x)^(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, 3, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-2 <
x,x < -1), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [And(1
< v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), And
(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [And(1 < v,v < 2^(1/2)), u =
(v^2+1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-2 < x,x < -1),
And(x < y,y < 0), (y-x)^(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, 9, 7, 1], [v = 2^(1/2), u = -2, 1 < x, And(x < y,y < x+3), z <
-(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [2
, 2], [7/2, 7/2], [-3, -3]]]], [[10, 2, 9, 7, 2], [v = 2^(1/2), u = -2, 1 < x,
And(x < y,y < x+3), z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-2, -2], [2, 2], [7/2, 7/2], [-1284239/1048576, -642119/
524288]]]], [[10, 2, 9, 7, 3], [v = 2^(1/2), u = -2, 1 < x, And(x < y,y < x+3)
, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-2, -2], [2, 2], [7/2, 7/2], [0, 0]]]], [[10, 2, 9, 7, 4],
[v = 2^(1/2), u = -2, 1 < x, And(x < y,y < x+3), z = (y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [2, 2], [7/2, 7/2]
, [642119/524288, 1284239/1048576]]]], [[10, 2, 9, 7, 5], [v = 2^(1/2), u = -2
, 1 < x, And(x < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[741455/524288
, 1482911/1048576], [-2, -2], [2, 2], [7/2, 7/2], [3, 3]]]], [[10, 4, 3, 7, 1]
, [v = 2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), x+2 < y, z < -(y-x)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373
/2097152], [-3/2, -3/2], [2, 2], [-3, -3]]]], [[10, 4, 3, 7, 2], [v = 2^(1/2),
u = -3^(1/2), And(-2 < x,x < -1), x+2 < y, z = -(y-x)^(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, 7, 3], [v
= 2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), x+2 < y, And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/
1048576, -3632373/2097152], [-3/2, -3/2], [2, 2], [0, 0]]]], [[10, 4, 3, 7, 4]
, [v = 2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), x+2 < y, z = (y-x)^(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, 7, 5], [v = 2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), x+2 < y, (y-x)^(1/2)
< z], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -\
3632373/2097152], [-3/2, -3/2], [2, 2], [3, 3]]]], [[10, 8, 9, 2, 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, 2, 7, 1], [v = 2^(1/2
), u = 0, x = -3, 0 < y, z < -(y+3)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [-3, -3], [1, 1], [-3, -3]]]], [[10, 10, 2, 7, 2], [
v = 2^(1/2), u = 0, x = -3, 0 < y, z = -(y+3)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [0, 0], [-3, -3], [1, 1], [-2, -2]]]], [[10, 10, 2,
7, 3], [v = 2^(1/2), u = 0, x = -3, 0 < y, And(-(y+3)^(1/2) < z,z < (y+3)^(1/2
))], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-3, -3], [1,
1], [0, 0]]]], [[10, 10, 2, 7, 4], [v = 2^(1/2), u = 0, x = -3, 0 < y, z = (y+
3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-3, -3]
, [1, 1], [2, 2]]]], [[10, 10, 2, 7, 5], [v = 2^(1/2), u = 0, x = -3, 0 < y, (
y+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-\
3, -3], [1, 1], [3, 3]]]], [[10, 16, 5, 3, 1], [v = 2^(1/2), u = 3^(1/2), And(
-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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, 3, 2], [v = 2^(1/2), u = 3^(1/2), And(-1 <
x,x < 0), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v = 2^(1/2), u = 3^(1/2), And(-1 < x
,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [v = 2^(1
/2), u = 3^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v =
2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(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, 9, 1], [v = 2^(
1/2), And(3^(1/2) < u,u < 2), x = 1, u^2 < y, z < -(y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [1, 1], [5, 5], [-3, -3]]]], [[10, 17, 10, 9, 2], [v = 2^(1/2), And(
3^(1/2) < u,u < 2), x = 1, u^2 < y, z = -(y-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [1, 1], [
5, 5], [-2, -2]]]], [[10, 17, 10, 9, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2),
x = 1, u^2 < y, 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, 9, 4], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x
= 1, u^2 < y, z = (y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [1, 1], [5, 5], [2, 2]]]], [[10,
17, 10, 9, 5], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = 1, u^2 < y, (y-1)^(1/
2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152,
3913339/2097152], [1, 1], [5, 5], [3, 3]]]], [[10, 18, 3, 9, 1], [v = 2^(1/2),
u = 2, And(-3 < x,x < -1), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [2, 2], [-2, -2], [2, 2], [-3, -3]]]], [[10,
18, 3, 9, 2], [v = 2^(1/2), u = 2, And(-3 < x,x < -1), x+3 < y, z = -(y-x)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-2, -2], [2,
2], [-2, -2]]]], [[10, 18, 3, 9, 3], [v = 2^(1/2), u = 2, And(-3 < x,x < -1),
x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [2, 2], [-2, -2], [2, 2], [0, 0]]]], [[10, 18, 3, 9,
4], [v = 2^(1/2), u = 2, And(-3 < x,x < -1), x+3 < y, z = (y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-2, -2], [2, 2], [2
, 2]]]], [[10, 18, 3, 9, 5], [v = 2^(1/2), u = 2, And(-3 < x,x < -1), x+3 < y,
(y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [
-2, -2], [2, 2], [3, 3]]]], [[10, 19, 8, 5, 1], [v = 2^(1/2), 2 < u, x = 1, 
And(0 < y,y < 1), 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(0 < y,y < x), z = z], [regular_chain, [[3, 3], [-3, -3],
[1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[11, 8, 1, 3, 1], [2^(1/2) < v, u = -(v^2-\
1)^(1/2), x < -2, And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[3,
3], [-2965821/1048576, -11863283/4194304], [-3, -3], [-2, -2], [-2, -2]]]], [[
11, 8, 1, 3, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -2, And(x < y,y < x+2),
z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [-3, -3], [-2, -2], [-1, -1]]]], [[11, 8, 1, 3, 3], [2^(1/2) < v, u
= -(v^2-1)^(1/2), x < -2, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3, -\
3], [-2, -2], [0, 0]]]], [[11, 8, 1, 3, 4], [2^(1/2) < v, u = -(v^2-1)^(1/2),
x < -2, And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [-3, -3], [-2, -2], [1, 1]]]], [[11, 8, 1
, 3, 5], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -2, And(x < y,y < x+2), (y-x)^(
1/2) < z], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3
, -3], [-2, -2], [2, 2]]]], [[11, 12, 2, 1, 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], [-5, -5], [0, 0]]]], [[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 < -(-u^2+v^2+1)^(
1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [0, 0], [
657547/262144, 2630189/1048576], [-3, -3]]]], [[11, 13, 6, 6, 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], [657547/262144, 2630189/1048576], [-3321417/2097152, -415177/262144]]]], [
[11, 13, 6, 6, 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], [657547/
262144, 2630189/1048576], [0, 0]]]], [[11, 13, 6, 6, 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], [
657547/262144, 2630189/1048576], [415177/262144, 1660709/1048576]]]], [[11, 13
, 6, 6, 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], [657547/262144, 2630189/1048576], [3, 3]]]], [[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
< 0, z = z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [1,
1], [-1, -1], [0, 0]]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3],
[5, 5], [-9, -9], [0, 0], [-4, -4]]]], [[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 = 0, z = -(-x)^(1/2)], [
regular_chain, [[3, 3], [5, 5], [-9, -9], [0, 0], [-3, -3]]]], [[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 = 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, 6, 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, 6, 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, 5, 1], [v < -2^(1/2), u = -(v^2
+1)^(1/2), x = 1, And(1 < y,y < 3), z < -(y-1)^(1/2)], [regular_chain, [[-3, -\
3], [-3315889/1048576, -207243/65536], [1, 1], [2, 2], [-2, -2]]]], [[1, 4, 8,
5, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = 1, And(1 < y,y < 3), z = -(y-1)^
(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [1, 1],
[2, 2], [-1, -1]]]], [[1, 4, 8, 5, 3], [v < -2^(1/2), u = -(v^2+1)^(1/2), x =
1, And(1 < y,y < 3), 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, 5, 4], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = 1, And(1 < y,y < 3), z = (y
-1)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [1,
1], [2, 2], [1, 1]]]], [[1, 4, 8, 5, 5], [v < -2^(1/2), u = -(v^2+1)^(1/2), x
= 1, And(1 < y,y < 3), (y-1)^(1/2) < z], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [1, 1], [2, 2], [2, 2]]]], [[1, 6, 2, 1, 1], [v < -2^
(1/2), u = v, x = -1, y < -1, z = z], [regular_chain, [[-3, -3], [-3, -3], [-1
, -1], [-2, -2], [0, 0]]]], [[1, 12, 3, 7, 1], [v < -2^(1/2), u = (v^2-2)^(1/2
), And(-3 < x,x < -1), And(0 < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain,
[[-3, -3], [2774271/1048576, 10837/4096], [-2, -2], [1/2, 1/2], [-3, -3]]]], [
[1, 12, 3, 7, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-3 < x,x < -1), And(0
< y,y < x+3), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576,
10837/4096], [-2, -2], [1/2, 1/2], [-3315889/2097152, -207243/131072]]]], [[1,
12, 3, 7, 3], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-3 < x,x < -1), And(0 < y,
y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [-2, -2], [1/2, 1/2], [0, 0]]]], [[1, 12, 3, 7,
4], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3),
z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-\
2, -2], [1/2, 1/2], [207243/131072, 1657945/1048576]]]], [[1, 12, 3, 7, 5], [v
< -2^(1/2), u = (v^2-2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), (y-x)^(
1/2) < z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-2, -2],
[1/2, 1/2], [3, 3]]]], [[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 = x-u^2+v^2+1, z < -(-u^2+v^
2+1)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [
133259/524288, 133259/524288], [1448353/524288, 2896707/1048576], [-3, -3]]]],
[[1, 13, 7, 8, 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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [133259/524288, 
133259/524288], [1448353/524288, 2896707/1048576], [-3321417/2097152, -415177/
262144]]]], [[1, 13, 7, 8, 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-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], [133259/524288, 133259/524288], [1448353/524288, 2896707/
1048576], [0, 0]]]], [[1, 13, 7, 8, 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 = x-u^2+v^2+1, z = (-u^2+v^2+1)
^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [133259/
524288, 133259/524288], [1448353/524288, 2896707/1048576], [415177/262144, 
1660709/1048576]]]], [[1, 13, 7, 8, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/
2) < z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [133259/
524288, 133259/524288], [1448353/524288, 2896707/1048576], [3, 3]]]], [[1, 18,
1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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(x < y,y < u^2-v^2+x
+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [129511/524288, 129511/524288], [391655/262144, 391655/262144], [-3,
-3]]]], [[1, 19, 7, 7, 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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 7, 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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/
2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [3396811/1048576, 3396811
/1048576], [129511/524288, 129511/524288], [391655/262144, 391655/262144], [0,
0]]]], [[1, 19, 7, 7, 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(x < y,y < u^2-v^2+x+1), z = (y-x)^(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, 7, 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(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) <
z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [129511/
524288, 129511/524288], [391655/262144, 391655/262144], [3, 3]]]], [[2, 4, 2,
1, 1], [v = -2^(1/2), u = -3^(1/2), x = -2, y < -2, z = z], [regular_chain, [[
-1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-2,
-2], [-3, -3], [0, 0]]]], [[2, 5, 7, 9, 1], [v = -2^(1/2), And(-3^(1/2) < u,u
< v), And(u^2-3 < x,x < 0), u^2+x-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
1101539/4194304, -1101539/4194304], [3, 3], [-3, -3]]]], [[2, 5, 7, 9, 2], [v
= -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), u^2+x-1 < y, z = -(
y-x)^(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, 9, 3], [v = -2^(1/2), And(-3^(1/2
) < u,u < v), And(u^2-3 < x,x < 0), u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x
)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [3, 3], [0,
0]]]], [[2, 5, 7, 9, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x
,x < 0), u^2+x-1 < y, z = (y-x)^(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, 9, 5],
[v = -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), u^2+x-1 < y, (y-
x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [3, 3], [3,
3]]]], [[2, 6, 1, 5, 1], [v = -2^(1/2), u = v, x < -1, And(x+1 < y,y < 0), z <
-(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/
1048576, -741455/524288], [-2, -2], [-1/2, -1/2], [-3, -3]]]], [[2, 6, 1, 5, 2
], [v = -2^(1/2), u = v, x < -1, And(x+1 < y,y < 0), z = -(y-x)^(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, 5, 3], [v = -2^(1/2), u = v, x < -1, And(x+1 < y,y < 0), And(-(y-x)^(1/2
) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1482911/1048576, -741455/524288], [-2, -2], [-1/2, -1/2], [0, 0]]]], [[2, 6,
1, 5, 4], [v = -2^(1/2), u = v, x < -1, And(x+1 < y,y < 0), z = (y-x)^(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, 5, 5], [v = -2^(1/2), u = v, x < -1, And(x+1 < y,y < 0), (y-x)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576,
-741455/524288], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[2, 7, 9, 4, 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, 4, 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, 4, 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, 5, 1], [v = -2^(1/2), And(1 < u,u < -v), And(0 < x,x < 1), And(x < y,y <
u^2+x-1), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [763943/1048576, 
763943/1048576], [-2, -2]]]], [[2, 13, 9, 5, 2], [v = -2^(1/2), And(1 < u,u <
-v), And(0 < x,x < 1), And(x < y,y < u^2+x-1), z = -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [763943/1048576, 763943/1048576], [-501295/1048576, -\
250647/524288]]]], [[2, 13, 9, 5, 3], [v = -2^(1/2), And(1 < u,u < -v), And(0
< x,x < 1), And(x < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [763943/1048576, 763943/1048576], [0, 0]]]], [[2, 13, 9,
5, 4], [v = -2^(1/2), And(1 < u,u < -v), And(0 < x,x < 1), And(x < y,y < u^2+x
-1), z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [1/2, 1/2], [763943/1048576, 763943/1048576
], [250647/524288, 501295/1048576]]]], [[2, 13, 9, 5, 5], [v = -2^(1/2), And(1
< u,u < -v), And(0 < x,x < 1), And(x < y,y < u^2+x-1), (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [763943/1048576, 763943/1048576], [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), u^2+x-1
< y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-3198693/4194304, -3198693/4194304], [2, 2
], [-3, -3]]]], [[2, 15, 5, 9, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And
(-1 < x,x < u^2-3), u^2+x-1 < y, z = -(y-x)^(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, 9, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3),
u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-\
3198693/4194304, -3198693/4194304], [2, 2], [0, 0]]]], [[2, 15, 5, 9, 4], [v =
-2^(1/2), And(-v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), u^2+x-1 < y, z = (y-
x)^(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, 9, 5], [v = -2^(1/2), And(-v <
u,u < 3^(1/2)), And(-1 < x,x < u^2-3), u^2+x-1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-3198693/4194304, -3198693/4194304], [2, 2], [3, 3]]]], [[2, 19, 7,
4, 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, 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(x-u^2+v^2+1 < y,y < 0), z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [-\
11624291/8388608, -11624291/8388608], [0, 0]]]], [[3, 7, 11, 2, 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, 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
= z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [0, 0], [
-2, -2], [0, 0]]]], [[3, 17, 7, 6, 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, 6,
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, 6, 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, 5, 1]
, [v = -1, u < -3^(1/2), And(1 < x,x < u^2-2), And(0 < y,y < x), 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 = u^2+x, z < u], [regular_chain, [[-1
, -1], [-1/2, -1/2], [2, 2], [9/4, 9/4], [-2, -2]]]], [[4, 7, 11, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = -1, And(0 < u,u < 1),
x = -u^2, And(0 < y,y < -2*u^2+2), 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, 5, 2], [v =
-1, And(0 < u,u < 1), x = -u^2, And(0 < y,y < -2*u^2+2), 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, 5, 3], [v = -1, And(0 < 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], [1/2,
1/2], [-1/4, -1/4], [3/4, 3/4], [0, 0]]]], [[4, 9, 6, 5, 4], [v = -1, And(0 <
u,u < 1), x = -u^2, And(0 < y,y < -2*u^2+2), 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, 5, 5], [v = -1, And(0 < u,u < 1), x = -u^2, And(0 < y,y < -2*u^2+2), (
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, 11, 3, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), 1
< x, And(0 < y,y < x-u^2+2), z = z], [regular_chain, [[-1, -1], [3299097/
2097152, 3299097/2097152], [2, 2], [799673/1048576, 799673/1048576], [0, 0]]]]
, [[4, 15, 4, 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, 4,
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, 4, 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, 5, 11, 7, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u
< v), 1 < x, And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [2, 2], [3
, 3], [-2, -2]]]], [[5, 5, 11, 7, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) <
u,u < v), 1 < x, And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [2, 2], [3
, 3], [-1, -1]]]], [[5, 5, 11, 7, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) <
u,u < v), 1 < x, And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [2, 2], [3, 3], [0, 0]]]], [[5, 5, 11, 7, 4], [And(-1 < v,v < 0), 
And(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z
= (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [2, 2], [3, 3], [1, 1]]]], [[5, 5, 11, 7, 5], [And(-1 < v,v < 0), 
And(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), (y
-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [2, 2], [3, 3], [2, 2]]]], [[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, 0 < y, z < -(y-x)^(1/2)],
[regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-2, -2], [1, 1], [-3, -3]]]], [[5,
8, 1, 7, 2], [And(-1 < v,v < 0), u = -v, x < -1, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-2, -2], [1, 1], [-1816187/1048576,
-3632373/2097152]]]], [[5, 8, 1, 7, 3], [And(-1 < v,v < 0), u = -v, x < -1, 0
< y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [1
/2, 1/2], [-2, -2], [1, 1], [-1/4194304, -1/4194304]]]], [[5, 8, 1, 7, 4], [
And(-1 < v,v < 0), u = -v, x < -1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[
-1/2, -1/2], [1/2, 1/2], [-2, -2], [1, 1], [908093/524288, 1816187/1048576]]]]
, [[5, 8, 1, 7, 5], [And(-1 < v,v < 0), u = -v, x < -1, 0 < y, (y-x)^(1/2) < z
], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-2, -2], [1, 1], [3, 3]]]], [[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-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [1696631/2097152, 1696631/2097152], [1/2, 1/2], [574353/524288, 1148707/
1048576], [-2, -2]]]], [[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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2],
[574353/524288, 1148707/1048576], [-1618333/2097152, -3236665/4194304]]]], [[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-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], [1/2, 1/2],
[574353/524288, 1148707/1048576], [-1/8388608, -1/8388608]]]], [[5, 9, 9, 6, 4
], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = x-
u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [1/2, 1/2], [574353/524288, 1148707/1048576], [
404583/524288, 809167/1048576]]]], [[5, 9, 9, 6, 5], [And(-1 < v,v < 0), And(-
v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2
) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [1/
2, 1/2], [574353/524288, 1148707/1048576], [2, 2]]]], [[6, 2, 5, 7, 1], [v = 0
, u = -2^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), z < -(y-x)^(1/2)], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [5/4
, 5/4], [-3, -3]]]], [[6, 2, 5, 7, 2], [v = 0, u = -2^(1/2), And(-1 < x,x < 0)
, And(0 < y,y < x+3), z = -(y-x)^(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, 7, 3], [v = 0, u = -2^(1/2), And(-1 < x,x < 0), And(0
< y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0],
[-1482911/1048576, -741455/524288], [-1/2, -1/2], [5/4, 5/4], [0, 0]]]], [[6,
2, 5, 7, 4], [v = 0, u = -2^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), z =
(y-x)^(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, 7, 5], [v
= 0, u = -2^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), (y-x)^(1/2) < z], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [5/4
, 5/4], [3, 3]]]], [[6, 3, 10, 1, 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], [-1, -1], [0, 0]]]], [[6, 8, 4, 3, 1], [v = 0, u = 1, x = -1, And(-1 <
y,y < 0), z < -(y+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-1, -1], [-1/2,
-1/2], [-2, -2]]]], [[6, 8, 4, 3, 2], [v = 0, u = 1, x = -1, And(-1 < y,y < 0)
, z = -(y+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-1, -1], [-1/2, -1/2],
[-1482911/2097152, -741455/1048576]]]], [[6, 8, 4, 3, 3], [v = 0, u = 1, x = -\
1, And(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(1/2)], [regular_chain, [[0, 0], [
1, 1], [-1, -1], [-1/2, -1/2], [741455/1048576, 46341/65536]]]], [[6, 8, 4, 3,
5], [v = 0, u = 1, x = -1, And(-1 < y,y < 0), (y+1)^(1/2) < z], [regular_chain
, [[0, 0], [1, 1], [-1, -1], [-1/2, -1/2], [2, 2]]]], [[6, 9, 9, 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 < -(
y-x)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [
1527887/2097152, 1527887/2097152], [2052175/1048576, 2052175/1048576], [-3, -3
]]]], [[6, 9, 9, 7, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [1527887/2097152, 1527887/2097152], [2052175/
1048576, 2052175/1048576], [-1162243/1048576, -581121/524288]]]], [[6, 9, 9, 7
, 3], [v = 0, And(1 < u,u < 2^(1/2)), And(u^2-1 < x,x < 1), And(x < y,y < u^2+
x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [1527887/2097152, 1527887/2097152], [
2052175/1048576, 2052175/1048576], [0, 0]]]], [[6, 9, 9, 7, 4], [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 = (y-x)^(1/2
)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [1527887/
2097152, 1527887/2097152], [2052175/1048576, 2052175/1048576], [581121/524288,
1162243/1048576]]]], [[6, 9, 9, 7, 5], [v = 0, And(1 < u,u < 2^(1/2)), And(u^2
-1 < x,x < 1), And(x < y,y < u^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[0,
0], [1265743/1048576, 1265743/1048576], [1527887/2097152, 1527887/2097152], [
2052175/1048576, 2052175/1048576], [3, 3]]]], [[7, 4, 4, 7, 1], [And(0 < v,v <
1), u = -(v^2+1)^(1/2), x = -1, 1 < y, z < -(y+1)^(1/2)], [regular_chain, [[1/
2, 1/2], [-146543/131072, -1172343/1048576], [-1, -1], [2, 2], [-3, -3]]]], [[
7, 4, 4, 7, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -1, 1 < y, z = -(y+
1)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-\
1, -1], [2, 2], [-1816187/1048576, -3632373/2097152]]]], [[7, 4, 4, 7, 3], [
And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -1, 1 < y, 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], [-1/4194304, -1/4194304]]]], [[7, 4, 4, 7, 4], [And(0 < v,
v < 1), u = -(v^2+1)^(1/2), x = -1, 1 < y, z = (y+1)^(1/2)], [regular_chain, [
[1/2, 1/2], [-146543/131072, -1172343/1048576], [-1, -1], [2, 2], [908093/
524288, 1816187/1048576]]]], [[7, 4, 4, 7, 5], [And(0 < v,v < 1), u = -(v^2+1)
^(1/2), x = -1, 1 < y, (y+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-146543
/131072, -1172343/1048576], [-1, -1], [2, 2], [3, 3]]]], [[7, 5, 10, 2, 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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 4, 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, 4, 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, 4, 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, 8, 7, 2, 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, 10, 1, 2, 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, 2, 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, 2, 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, 5, 5,
1], [v = 1, u = 3^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-
x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 < 0, z = z], [regular_chain, [[1, 1], [3, 3]
, [7, 7], [-1, -1], [0, 0]]]], [[9, 6, 7, 3, 1], [And(1 < v,v < 2^(1/2)), u =
-v, 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [1, 1], [0, 0]
]]], [[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+2), z < -(y-x)^(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, 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+2), z = -(y-x)^(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, 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+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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+2), z = (y-x)^(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, 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+2), (y-x)^(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, 8, 7, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 1, 3 <
y, z < -(y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1417877/2097152, -354469/524288], [1, 1], [4, 4], [-3, -3]]]], [[9, 8, 8, 7, 2
], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 1, 3 < y, 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, 7, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 1, 3 < y, 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, 7, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x
= 1, 3 < y, 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, 7, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(
1/2), x = 1, 3 < y, (y-1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1417877/2097152, -354469/524288], [1, 1], [4, 4], [3, 3]]]
], [[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, 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, 2, 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, 2,
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, 5, 7, 1], [
And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+
3), z < -(y-x)^(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, 7, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And
(0 < y,y < x+3), z = -(y-x)^(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, 7, 3], [And(1 < v,v < 2^(1/2)), u = (v
^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (
y-x)^(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, 7, 4
], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y
< x+3), z = (y-x)^(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, 7, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2),
And(-1 < x,x < 0), And(0 < y,y < x+3), (y-x)^(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, 10, 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 = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [3, 3], [6860721/1048576, 3430361/524288]
, [6860721/2097152, 6860721/2097152], [0, 0]]]], [[10, 4, 9, 1, 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], [-1, -1], [0,
0]]]], [[10, 6, 3, 3, 1], [v = 2^(1/2), u = -v, And(-1 < x,x < 0), And(x < y,y
< 0), z < -(y-x)^(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(x < y,y < 0), z
= -(y-x)^(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, 3, 3], [v = 2^(1/2), u = -v, And(-1 < x,x < 0), And(x < y,y < 0), And(-(y
-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [v = 2^(1/2), u = -v, And(-1 < x,x < 0), And(x < y,y
< 0), z = (y-x)^(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, 3, 5], [v = 2^(1/2), u = -v, And(-1 < x,x < 0), And(x < y,y < 0), (
y-x)^(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 < -(y+1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [1, 1], [-1, -1], [2, 2], [-3, -3]]]], [[10
, 12, 4, 7, 2], [v = 2^(1/2), u = 1, x = -1, 1 < y, z = -(y+1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1, -1], [2, 2], [-\
1816187/1048576, -3632373/2097152]]]], [[10, 12, 4, 7, 3], [v = 2^(1/2), u = 1
, x = -1, 1 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [-1, -1], [2, 2], [-1/4194304, -1/
4194304]]]], [[10, 12, 4, 7, 4], [v = 2^(1/2), u = 1, x = -1, 1 < y, z = (y+1)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1, -1],
[2, 2], [908093/524288, 1816187/1048576]]]], [[10, 12, 4, 7, 5], [v = 2^(1/2),
u = 1, x = -1, 1 < y, (y+1)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [-1, -1], [2, 2], [3, 3]]]], [[10, 13, 10, 6, 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], [763943/524288, 1527887/1048576], [-2, -2]]]], [[10, 13, 10,
6, 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], [763943/524288, 1527887/1048576], [-1417877/2097152, -354469
/524288]]]], [[10, 13, 10, 6, 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], [763943/
524288, 1527887/1048576], [0, 0]]]], [[10, 13, 10, 6, 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], [763943/
524288, 1527887/1048576], [354469/524288, 708939/1048576]]]], [[10, 13, 10, 6,
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], [763943/524288, 1527887/1048576], [2, 2]]]], [[11, 2, 7, 5,
1], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(0 < y,y < x), 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 < x, z = z], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536
], [-3, -3], [-4, -4], [0, 0]]]], [[11, 10, 4, 5, 1], [2^(1/2) < v, u = -(v^2-\
2)^(1/2), x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0
), z = -(y+1)^(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(-1 < y,y < 0), 
And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = z], [
regular_chain, [[3, 3], [0, 0], [9/2, 9/2], [-5, -5], [0, 0]]]], [[11, 15, 9,
8, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), y = x-u^2
+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [1/2, 1/2], [526217/262144, 2104869/1048576], [-3, -3]]]], [
[11, 15, 9, 8, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1
), y = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [1/2, 1/2], [526217/262144, 2104869/1048576
], [-1287385/1048576, -160923/131072]]]], [[11, 15, 9, 8, 3], [2^(1/2) < v, 
And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), y = x-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], [1/2, 1/2], [526217/262144, 2104869/1048576], [0, 0
]]]], [[11, 15, 9, 8, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(0 <
x,x < 1), y = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [1/2, 1/2], [526217/262144, 2104869/1048576
], [160923/131072, 1287385/1048576]]]], [[11, 15, 9, 8, 5], [2^(1/2) < v, And(
(v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2
) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1/2, 1/2
], [526217/262144, 2104869/1048576], [3, 3]]]], [[11, 17, 6, 7, 1], [2^(1/2) <
v, And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, 2*u^2-2*v^2 < y, z < -(y-u^2+v
^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-\
531193/1048576, -1062385/2097152], [2, 2], [-3, -3]]]], [[11, 17, 6, 7, 2], [2
^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, 2*u^2-2*v^2 < y, z =
-(y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072]
, [-531193/1048576, -1062385/2097152], [2, 2], [-3320253/2097152, -830063/
524288]]]], [[11, 17, 6, 7, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x
= u^2-v^2-1, 2*u^2-2*v^2 < y, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(
1/2))], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-531193/
1048576, -1062385/2097152], [2, 2], [0, 0]]]], [[11, 17, 6, 7, 4], [2^(1/2) <
v, And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, 2*u^2-2*v^2 < y, z = (y-u^2+v^
2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-531193
/1048576, -1062385/2097152], [2, 2], [830063/524288, 1660127/1048576]]]], [[11
, 17, 6, 7, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, 2*u
^2-2*v^2 < y, (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [-531193/1048576, -1062385/2097152], [2, 2], [3, 3]]]]
, [[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(x-u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[-3, -3], [-5, -5],
[-9, -9], [-33/2, -33/2], [0, 0]]]], [[1, 2, 5, 2, 1], [v < -2^(1/2), u = -(v^
2+2)^(1/2), And(-1 < x,x < 0), y = x-1, z = z], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[1,
8, 8, 6, 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, 6, 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, 6,
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, 6, 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, 6, 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, 9, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x < -3, 0
< y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271
/1048576], [-4, -4], [1, 1], [-4, -4]]]], [[1, 10, 1, 9, 2], [v < -2^(1/2), u
= -(v^2-2)^(1/2), x < -3, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3],
[-5548543/2097152, -2774271/1048576], [-4, -4], [1, 1], [-146543/65536, -\
2344687/1048576]]]], [[1, 10, 1, 9, 3], [v < -2^(1/2), u = -(v^2-2)^(1/2), x <
-3, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3],
[-5548543/2097152, -2774271/1048576], [-4, -4], [1, 1], [0, 0]]]], [[1, 10, 1,
9, 4], [v < -2^(1/2), u = -(v^2-2)^(1/2), x < -3, 0 < y, z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-4, -4], [1,
1], [2344687/1048576, 146543/65536]]]], [[1, 10, 1, 9, 5], [v < -2^(1/2), u =
-(v^2-2)^(1/2), x < -3, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [-4, -4], [1, 1], [4, 4]]]], [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(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(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(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(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(0 < y,y < u^2-v^2+x+1), z = (y-x)^(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(0
< y,y < u^2-v^2+x+1), (y-x)^(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 = x-u^2+v^2+1, z = z], [regular_chain, [[-3,
-3], [5, 5], [8, 8], [-7, -7], [0, 0]]]], [[2, 1, 11, 3, 1], [v = -2^(1/2), u
< -2, u^2-3 < x, And(0 < y,y < x-u^2+3), z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [7, 7], [1/2, 1/2], [0, 0]]]], [[2, 10, 1,
7, 1], [v = -2^(1/2), u = 0, x < -3, And(x+3 < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-4, -4], [-1/2, -\
1/2], [-3, -3]]]], [[2, 10, 1, 7, 2], [v = -2^(1/2), u = 0, x < -3, And(x+3 <
y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [0, 0], [-4, -4], [-1/2, -1/2], [-7846825/4194304, -980853/524288]]]]
, [[2, 10, 1, 7, 3], [v = -2^(1/2), u = 0, x < -3, And(x+3 < y,y < 0), And(-(y
-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [0, 0], [-4, -4], [-1/2, -1/2], [0, 0]]]], [[2, 10, 1, 7, 4], [v = -2
^(1/2), u = 0, x < -3, And(x+3 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [0, 0], [-4, -4], [-1/2, -1/2], [980853/
524288, 1961707/1048576]]]], [[2, 10, 1, 7, 5], [v = -2^(1/2), u = 0, x < -3,
And(x+3 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [0, 0], [-4, -4], [-1/2, -1/2], [3, 3]]]], [[2, 11, 5, 8, 1],
[v = -2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), y = x-u^2+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, 8, 2], [v = -2^(1/2), And(0 < u
,u < 1), And(-1 < x,x < 0), y = x-u^2+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, 8, 3], [v = -2^(1/2), And(0
< u,u < 1), And(-1 < x,x < 0), y = x-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], [
-1/2, -1/2], [9/4, 9/4], [-1/4194304, -1/4194304]]]], [[2, 11, 5, 8, 4], [v =
-2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), y = x-u^2+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, 8, 5], [v = -
2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), y = x-u^2+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, 9, 7, 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-1), z < -(y-x)^(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, 7, 2], [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-1), z = -(y-x)^(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, 7, 3], [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-1), And(-(y-x)^(1/2) < z,z < (y-x)^(
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, 7, 4], [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-1), z = (y-x)^(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, 7, 5], [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-1), (y-x)^(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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 < 0, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [2, 2], [-1, -1], [0, 0]]]], [[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), u^2-v
^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/
4194304], [2, 2], [-3, -3]]]], [[3, 5, 5, 9, 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), u^2-v^2+x+1 < y, z =
-(y-x)^(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, 9, 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), u^2-v^2+x+
1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/
4194304, -3213831/4194304], [2, 2], [0, 0]]]], [[3, 5, 5, 9, 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), u^2-v^2
+x+1 < y, z = (y-x)^(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, 9, 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)
, u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/4194304, -\
3213831/4194304], [2, 2], [3, 3]]]], [[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 = x-u^2+v^2+1, z < -(-
u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [1/2, 1/2], [542767/262144, 2171069/1048576],
[-3, -3]]]], [[3, 11, 9, 8, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) <
u,u < -v), And(0 < x,x < 1), y = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [1/2, 1/2], [542767/262144, 2171069/1048576], [-1314069/1048576, -\
328517/262144]]]], [[3, 11, 9, 8, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(
1/2) < u,u < -v), And(0 < x,x < 1), y = x-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], [1/2, 1/2], [542767/262144, 
2171069/1048576], [0, 0]]]], [[3, 11, 9, 8, 4], [And(-2^(1/2) < v,v < -1), And
((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = x-u^2+v^2+1, z = (-u^2+v^2+1
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [1/2, 1/2], [542767/262144, 2171069/1048576], [
328517/262144, 1314069/1048576]]]], [[3, 11, 9, 8, 5], [And(-2^(1/2) < v,v < -\
1), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = x-u^2+v^2+1, (-u^2+v^
2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [1/2, 1/2], [542767/262144, 2171069/1048576],
[3, 3]]]], [[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(u^2-v^2-1 < y,y < 0), z < -(y-u^2+v^2+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, 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(u^2-v^2-1 < y,y < 0), z = -(y-u^2+v^2
+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, 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(u^
2-v^2-1 < y,y < 0), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+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, 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(u^2-v^2-1 < y,y < 0), z = (y-u^2+v^2+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, 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(u^2-v
^2-1 < y,y < 0), (y-u^2+v^2+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, 9, 1
], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 1, u^2-v^2+2
< y, z < -(y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1454701/1048576, 1454701/1048576], [1, 1], [4, 4], [-3, -3]]]], [[3, 13, 10,
9, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 1, u^2-v^
2+2 < y, 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, 9, 3], [And(-2^(1/2) < v,v < -1),
And(-v < u,u < (v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y, 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, 9, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 1
, u^2-v^2+2 < y, 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, 9, 5], [And(-2^(1/2) < v,v < -1), 
And(-v < u,u < (v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y, (y-1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [1, 1], [4, 4], [3, 3]]]], [[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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [2074829/
1048576, 1037415/524288], [-3, -3]]]], [[3, 15, 5, 8, 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], [2074829/1048576, 
1037415/524288], [-3301741/2097152, -825435/524288]]]], [[3, 15, 5, 8, 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], [2074829/1048576, 1037415/524288], [0, 0]]]], [[3, 15,
5, 8, 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], [2074829/1048576, 1037415/524288], [825435/524288, 1650871/1048576]]]], [
[3, 15, 5, 8, 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], [2074829/1048576, 1037415/524288], [3, 3]]]], [[4, 3, 
11, 4, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, y = x-u^2+2, z = z]
, [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [2, 2], [
1599345/1048576, 799673/524288], [0, 0]]]], [[4, 5, 6, 3, 1], [v = -1, And(-2^
(1/2) < u,u < -1), x = u^2-2, And(u^2-2 < y,y < 0), z < -(y-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1138531/
2097152, -569265/1048576], [-569265/2097152, -569265/2097152], [-2, -2]]]], [[
4, 5, 6, 3, 2], [v = -1, And(-2^(1/2) < u,u < -1), x = u^2-2, And(u^2-2 < y,y
< 0), z = -(y-u^2+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, 3, 3], [v =
-1, And(-2^(1/2) < u,u < -1), x = u^2-2, And(u^2-2 < y,y < 0), And(-(y-u^2+2)^
(1/2) < z,z < (y-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [-1265743/1048576,
-1265743/1048576], [-1138531/2097152, -569265/1048576], [-569265/2097152, -\
569265/2097152], [0, 0]]]], [[4, 5, 6, 3, 4], [v = -1, And(-2^(1/2) < u,u < -1
), x = u^2-2, And(u^2-2 < y,y < 0), z = (y-u^2+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, 3, 5], [v = -1, And(-2^(1/2) < u,u < -1), x = u^2-2, And(u^2-2
< y,y < 0), (y-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576
, -1265743/1048576], [-1138531/2097152, -569265/1048576], [-569265/2097152, -\
569265/2097152], [2, 2]]]], [[4, 9, 11, 1, 1], [v = -1, And(0 < u,u < 1), 1 <
x, y < 0, z = z], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [-1, -1], [0,
0]]]], [[4, 11, 7, 7, 1], [v = -1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0
), And(x-u^2+2 < y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [
1527887/2097152, 1527887/2097152], [-2, -2]]]], [[4, 11, 7, 7, 2], [v = -1, 
And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), And(x-u^2+2 < y,y < u^2+x), z =
-(y-x)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576],
[-569265/2097152, -569265/2097152], [1527887/2097152, 1527887/2097152], [-1, -\
1]]]], [[4, 11, 7, 7, 3], [v = -1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0
), And(x-u^2+2 < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-569265/2097152
, -569265/2097152], [1527887/2097152, 1527887/2097152], [0, 0]]]], [[4, 11, 7,
7, 4], [v = -1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), And(x-u^2+2 < y,
y < u^2+x), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 
1265743/1048576], [-569265/2097152, -569265/2097152], [1527887/2097152, 
1527887/2097152], [1, 1]]]], [[4, 11, 7, 7, 5], [v = -1, And(1 < u,u < 2^(1/2)
), And(u^2-2 < x,x < 0), And(x-u^2+2 < y,y < u^2+x), (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-569265/2097152
, -569265/2097152], [1527887/2097152, 1527887/2097152], [2, 2]]]], [[5, 2, 4,
1, 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], [-3, -3], [0, 0]]]], [[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 = 0, z = z], [regular_chain, [[-1/2, -1/2], [-343151/262144,
-343151/262144], [243021/524288, 486043/1048576], [0, 0], [0, 0]]]], [[5, 12,
1, 9, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x < -3, 0 < y, z < -(y-x)^(1/
2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-4, -4], [1, 1], [-4, -4]]]],
[[5, 12, 1, 9, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x < -3, 0 < y, z = -
(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-4, -4], [1, 1], [-\
146543/65536, -2344687/1048576]]]], [[5, 12, 1, 9, 3], [And(-1 < v,v < 0), u =
(v^2+2)^(1/2), x < -3, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-4, -4], [1, 1], [0, 0]]]], [[5, 12
, 1, 9, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x < -3, 0 < y, z = (y-x)^(1
/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-4, -4], [1, 1], [2344687/
1048576, 146543/65536]]]], [[5, 12, 1, 9, 5], [And(-1 < v,v < 0), u = (v^2+2)^
(1/2), x < -3, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3/2, 3
/2], [-4, -4], [1, 1], [4, 4]]]], [[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 = z], [regular_chain, [[-1/2, -1/2], [3
, 3], [0, 0], [-9, -9], [0, 0]]]], [[6, 6, 3, 1, 1], [v = 0, u = 0, And(-1 < x
,x < 0), y < x, z = z], [regular_chain, [[0, 0], [0, 0], [-1/2, -1/2], [-2, -2
], [0, 0]]]], [[6, 7, 10, 3, 1], [v = 0, And(0 < u,u < 1), x = 1, And(0 < y,y
< 1), z = z], [regular_chain, [[0, 0], [1/2, 1/2], [1, 1], [1/2, 1/2], [0, 0]]
]], [[6, 11, 11, 3, 1], [v = 0, 2^(1/2) < u, u^2-1 < x, And(0 < y,y < x-u^2+1)
, z = z], [regular_chain, [[0, 0], [3, 3], [9, 9], [1/2, 1/2], [0, 0]]]], [[7,
2, 2, 2, 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, 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, u^2-v^
2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [2, 2], [5, 5], [-3, -3]]]], [[7, 9, 11, 9, 2], [And(0 < v,v
< 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, z = -(y-x)^(1/2)],
[regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [2, 2], [5, 5
], [-1816187/1048576, -3632373/2097152]]]], [[7, 9, 11, 9, 3], [And(0 < v,v <
1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[7, 9, 11, 9, 4], [And
(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, z = (y-x)
^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [2,
2], [5, 5], [908093/524288, 1816187/1048576]]]], [[7, 9, 11, 9, 5], [And(0 < v
,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, (y-x)^(1/2) < z
], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [2, 2], [5
, 5], [3, 3]]]], [[7, 10, 6, 3, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x =
0, And(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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
(0 < y,y < 2), 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(x < y,y < u^2-v^2+x+1
), z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/
262144], [2, 2], [3388749/1048576, 3388749/1048576], [-3, -3]]]], [[7, 11, 11,
7, 2], [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 = -(y-x)^(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, 7, 3], [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), And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [343151/262144
, 343151/262144], [2, 2], [3388749/1048576, 3388749/1048576], [0, 0]]]], [[7,
11, 11, 7, 4], [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 = (y-x)^(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, 7, 5], [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), (y-x)
^(1/2) < z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [2,
2], [3388749/1048576, 3388749/1048576], [3, 3]]]], [[8, 4, 6, 5, 1], [v = 1, u
= -2^(1/2), x = 0, 2 < y, z < -y^(1/2)], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [0, 0], [3, 3], [-3, -3]]]], [[8, 4, 6, 5, 2], [v =
1, u = -2^(1/2), x = 0, 2 < y, z = -y^(1/2)], [regular_chain, [[1, 1], [-\
1482911/1048576, -741455/524288], [0, 0], [3, 3], [-1816187/1048576, -3632373/
2097152]]]], [[8, 4, 6, 5, 3], [v = 1, u = -2^(1/2), x = 0, 2 < y, 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, 5, 4], [v = 1
, u = -2^(1/2), x = 0, 2 < y, z = y^(1/2)], [regular_chain, [[1, 1], [-1482911
/1048576, -741455/524288], [0, 0], [3, 3], [908093/524288, 1816187/1048576]]]]
, [[8, 4, 6, 5, 5], [v = 1, u = -2^(1/2), x = 0, 2 < y, y^(1/2) < z], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [0, 0], [3, 3], [3
, 3]]]], [[8, 5, 11, 9, 1], [v = 1, And(-2^(1/2) < u,u < -1), 1 < x, u^2+x < y
, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [2, 2], [5, 5], [-3, -3]]]], [[8, 5, 11, 9, 2], [v = 1, And(-2^(1/2)
< u,u < -1), 1 < x, u^2+x < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [2, 2], [5, 5], [-1816187/1048576, -\
3632373/2097152]]]], [[8, 5, 11, 9, 3], [v = 1, And(-2^(1/2) < u,u < -1), 1 <
x, u^2+x < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1],
[-1265743/1048576, -1265743/1048576], [2, 2], [5, 5], [-1/4194304, -1/4194304]
]]], [[8, 5, 11, 9, 4], [v = 1, And(-2^(1/2) < u,u < -1), 1 < x, u^2+x < y, z
= (y-x)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576],
[2, 2], [5, 5], [908093/524288, 1816187/1048576]]]], [[8, 5, 11, 9, 5], [v = 1
, And(-2^(1/2) < u,u < -1), 1 < x, u^2+x < y, (y-x)^(1/2) < z], [regular_chain
, [[1, 1], [-1265743/1048576, -1265743/1048576], [2, 2], [5, 5], [3, 3]]]], [[
8, 10, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 1, 1],
[v = 1, u = 2^(1/2), And(-2 < x,x < -1), y < x, z = z], [regular_chain, [[1, 1
], [741455/524288, 1482911/1048576], [-3/2, -3/2], [-3, -3], [0, 0]]]], [[9, 2
, 9, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), 1 < x, And(0 < y,y <
x-1), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [2, 2], [1/2, 1/2], [0, 0]]]], [[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 < y,y <
0), z < -(y-x)^(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, 3, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-2 < x,x < -1)
, And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [And(1 < v,v <
2^(1/2)), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), And(-(y-x)
^(1/2) < z,z < (y-x)^(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, 3, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+
1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-2 < x,x < -1),
And(x < y,y < 0), (y-x)^(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, 7, 2, 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, 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 = x,
z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [2, 2], [
2, 2], [-1, -1]]]], [[10, 2, 9, 6, 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, 6, 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, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 3, 1], [v = 2^(1/2), u = -1, 1 < x, And(0 <
y,y < x), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1],
[2, 2], [1, 1], [0, 0]]]], [[10, 10, 3, 1, 1], [v = 2^(1/2), u = 0, And(-3 < x
,x < -1), y < x-1, z = z], [regular_chain, [[741455/524288, 1482911/1048576],
[0, 0], [-2, -2], [-4, -4], [0, 0]]]], [[10, 16, 5, 2, 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, 2, 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,
2, 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, 17, 10, 8, 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], [3651195/1048576, 912799/262144], [-3, -3]]]], [[10, 17, 10,
8, 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], [3651195/1048576, 912799/262144], [-825991/524288, -\
3303963/2097152]]]], [[10, 17, 10, 8, 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],
[3651195/1048576, 912799/262144], [-1/4194304, -1/4194304]]]], [[10, 17, 10, 8
, 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], [3651195/1048576, 912799/262144], [1651981/1048576, 825991/
524288]]]], [[10, 17, 10, 8, 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], [3651195/1048576, 912799/262144]
, [3, 3]]]], [[10, 18, 3, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 4, 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, 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, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [-4, -4], [1, 1], [-4, -4]]]], [[11, 12, 1, 9, 2
], [2^(1/2) < v, u = (v^2-2)^(1/2), x < -3, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-4, -4], [1, 1], [-\
146543/65536, -2344687/1048576]]]], [[11, 12, 1, 9, 3], [2^(1/2) < v, u = (v^2
-2)^(1/2), x < -3, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-4, -4], [1, 1], [0, 0
]]]], [[11, 12, 1, 9, 4], [2^(1/2) < v, u = (v^2-2)^(1/2), x < -3, 0 < y, z =
(y-x)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-4, -4]
, [1, 1], [2344687/1048576, 146543/65536]]]], [[11, 12, 1, 9, 5], [2^(1/2) < v
, u = (v^2-2)^(1/2), x < -3, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3],
[2774271/1048576, 10837/4096], [-4, -4], [1, 1], [4, 4]]]], [[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 < -y^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [0, 0], [657547/524288, 657547/524288], [-3, -3]]]], [[11, 13, 6, 5,
2], [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 = -y^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [0, 0], [657547/524288, 657547/524288], [-1174299/1048576, -\
587149/524288]]]], [[11, 13, 6, 5, 3], [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), 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, 5, 4], [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 = y^(1/2
)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [0, 0], [657547
/524288, 657547/524288], [587149/524288, 1174299/1048576]]]], [[11, 13, 6, 5,
5], [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), y^(1/2) < z], [regular_chain, [[3, 3], [1435023/524288, 1435023
/524288], [0, 0], [657547/524288, 657547/524288], [3, 3]]]], [[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 = 0, z =
z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [1, 1], [0, 0
], [0, 0]]]], [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain
, [[3, 3], [5, 5], [-9, -9], [4, 4], [-5, -5]]]], [[11, 21, 3, 7, 2], [2^(1/2)
< v, (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2+x+1)
, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-9, -9], [4, 4], [-\
3780695/1048576, -7561389/2097152]]]], [[11, 21, 3, 7, 3], [2^(1/2) < v, (v^2+
2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2+x+1), And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [5, 5], [-9, -9], [4,
4], [-1/4194304, -1/4194304]]]], [[11, 21, 3, 7, 4], [2^(1/2) < v, (v^2+2)^(1/
2) < u, And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2+x+1), z = (y-x)^(1/2
)], [regular_chain, [[3, 3], [5, 5], [-9, -9], [4, 4], [1890347/524288, 
3780695/1048576]]]], [[11, 21, 3, 7, 5], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(
-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [5, 5], [-9, -9], [4, 4], [5, 5]]]], [[1, 4, 8, 2, 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, 2,
2, 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, 2, 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, 2, 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, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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
= 0, z = z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [
133259/262144, 533037/1048576], [0, 0], [0, 0]]]], [[1, 18, 1, 3, 1], [v < -2^
(1/2), u = (v^2+1)^(1/2), x < -2, And(x < y,y < x+2), z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-3, -3], [-2, -2],
[-2, -2]]]], [[1, 18, 1, 3, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), x < -2, And(
x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 
3315889/1048576], [-3, -3], [-2, -2], [-1, -1]]]], [[1, 18, 1, 3, 3], [v < -2^
(1/2), u = (v^2+1)^(1/2), x < -2, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-3
, -3], [-2, -2], [0, 0]]]], [[1, 18, 1, 3, 4], [v < -2^(1/2), u = (v^2+1)^(1/2
), x < -2, And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [
207243/65536, 3315889/1048576], [-3, -3], [-2, -2], [1, 1]]]], [[1, 18, 1, 3,
5], [v < -2^(1/2), u = (v^2+1)^(1/2), x < -2, And(x < y,y < x+2), (y-x)^(1/2)
< z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-3, -3], [-\
2, -2], [2, 2]]]], [[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 < -(u^2-v^2+1)^(1
/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [129511/
524288, 129511/524288], [1437109/524288, 2874219/1048576], [-3, -3]]]], [[1, 
19, 7, 8, 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], [
1437109/524288, 2874219/1048576], [-1655969/1048576, -3311937/2097152]]]], [[1
, 19, 7, 8, 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], [1437109/524288, 2874219/1048576], [-1/4194304,
-1/4194304]]]], [[1, 19, 7, 8, 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], [1437109/524288, 2874219/1048576], [51749/32768, 
1655969/1048576]]]], [[1, 19, 7, 8, 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], [1437109/524288, 2874219/1048576], [3, 3]]]], [[2, 4,
1, 7, 1], [v = -2^(1/2), u = -3^(1/2), x < -2, 0 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-3, -3], [1, 1], [-3, -3]]]], [[2, 4, 1, 7, 2], [v = -2^(1/
2), u = -3^(1/2), x < -2, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-3, -3], [1,
1], [-2, -2]]]], [[2, 4, 1, 7, 3], [v = -2^(1/2), u = -3^(1/2), x < -2, 0 < y,
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1816187/1048576, -3632373/2097152], [-3, -3], [1, 1], [0, 0]
]]], [[2, 4, 1, 7, 4], [v = -2^(1/2), u = -3^(1/2), x < -2, 0 < y, z = (y-x)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576,
-3632373/2097152], [-3, -3], [1, 1], [2, 2]]]], [[2, 4, 1, 7, 5], [v = -2^(1/2
), u = -3^(1/2), x < -2, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-3, -3], [1,
1], [3, 3]]]], [[2, 5, 8, 3, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 0
, And(0 < y,y < -u^2+3), z < -y^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [0, 0], [550769/2097152,
550769/2097152], [-2, -2]]]], [[2, 5, 8, 3, 2], [v = -2^(1/2), And(-3^(1/2) <
u,u < v), x = 0, And(0 < y,y < -u^2+3), z = -y^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [0, 0]
, [550769/2097152, 550769/2097152], [-1074731/2097152, -537365/1048576]]]], [[
2, 5, 8, 3, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 0, And(0 < 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], [550769/2097152,
550769/2097152], [0, 0]]]], [[2, 5, 8, 3, 4], [v = -2^(1/2), And(-3^(1/2) < u,
u < v), x = 0, And(0 < y,y < -u^2+3), z = y^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [0, 0], [
550769/2097152, 550769/2097152], [537365/1048576, 268683/524288]]]], [[2, 5, 8
, 3, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 0, And(0 < y,y < -u^2+3),
y^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [0, 0], [550769/2097152, 550769/2097152], [2, 2]]]
], [[2, 6, 1, 2, 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, 2, 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, 2, 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, 5, 1], [v = -2^(1/2), And(v < u,u < -1), And
(0 < x,x < 1), And(x < y,y < u^2+x-1), z < -(y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1/2,
1/2], [763943/1048576, 763943/1048576], [-2, -2]]]], [[2, 7, 9, 5, 2], [v = -2
^(1/2), And(v < u,u < -1), And(0 < x,x < 1), And(x < y,y < u^2+x-1), z = -(y-x
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [1/2, 1/2], [763943/1048576, 763943/1048576], [-\
501295/1048576, -250647/524288]]]], [[2, 7, 9, 5, 3], [v = -2^(1/2), And(v < u
,u < -1), And(0 < x,x < 1), And(x < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [1/2, 1/2], [763943/1048576, 763943/1048576], [0,
0]]]], [[2, 7, 9, 5, 4], [v = -2^(1/2), And(v < u,u < -1), And(0 < x,x < 1), 
And(x < y,y < u^2+x-1), z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [763943/
1048576, 763943/1048576], [250647/524288, 501295/1048576]]]], [[2, 7, 9, 5, 5]
, [v = -2^(1/2), And(v < u,u < -1), And(0 < x,x < 1), And(x < y,y < u^2+x-1),
(y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [1/2, 1/2], [763943/1048576, 763943/
1048576], [2, 2]]]], [[2, 13, 9, 4, 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, 4, 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, 4, 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, 3, 1], [v = -2^(1/2),
And(-v < u,u < 3^(1/2)), x = u^2-3, And(u^2-3 < y,y < 0), z < -(y-u^2+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, 3, 2], [v = -2^(1/2), And(-v < u,u <
3^(1/2)), x = u^2-3, And(u^2-3 < y,y < 0), z = -(y-u^2+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, 3, 3], [v = -2^(1
/2), And(-v < u,u < 3^(1/2)), x = u^2-3, And(u^2-3 < y,y < 0), And(-(y-u^2+3)^
(1/2) < z,z < (y-u^2+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, 3, 4], [v = -2^(
1/2), And(-v < u,u < 3^(1/2)), x = u^2-3, And(u^2-3 < y,y < 0), z = (y-u^2+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, 3, 5], [v = -
2^(1/2), And(-v < u,u < 3^(1/2)), x = u^2-3, And(u^2-3 < y,y < 0), (y-u^2+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, 1, 1], [v = -2^(1/2), 2 < u,
And(0 < x,x < 1), y < x-u^2+3, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [1/2, 1/2], [-7, -7], [0, 0]]]], [[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 = 0,
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [
7909297/2097152, 7909297/2097152], [0, 0], [0, 0]]]], [[3, 7, 11, 1, 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], [-1, -1], [0, 0]]]], [[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(0 < y,y < x), 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, z <
u], [regular_chain, [[-1, -1], [-3, -3], [4, 4], [13, 13], [-4, -4]]]], [[4, 1
, 9, 8, 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,
8, 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, 8, 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, 8,
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, 3
, 1], [v = -1, And(-1 < u,u < 0), 1 < x, And(0 < y,y < x), z = z], [
regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2], [1, 1], [0, 0]]]], [[4, 9, 6,
6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 11, 2, 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, 7, 1
], [v = -1, 3^(1/2) < u, x = -1, And(0 < y,y < u^2-1), z < -(y+1)^(1/2)], [
regular_chain, [[-1, -1], [3, 3], [-1, -1], [4, 4], [-4, -4]]]], [[4, 15, 4, 7
, 2], [v = -1, 3^(1/2) < u, x = -1, And(0 < y,y < u^2-1), z = -(y+1)^(1/2)], [
regular_chain, [[-1, -1], [3, 3], [-1, -1], [4, 4], [-146543/65536, -2344687/
1048576]]]], [[4, 15, 4, 7, 3], [v = -1, 3^(1/2) < u, x = -1, And(0 < y,y < u^
2-1), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1, -1], [3, 3
], [-1, -1], [4, 4], [0, 0]]]], [[4, 15, 4, 7, 4], [v = -1, 3^(1/2) < u, x = -\
1, And(0 < y,y < u^2-1), z = (y+1)^(1/2)], [regular_chain, [[-1, -1], [3, 3],
[-1, -1], [4, 4], [2344687/1048576, 146543/65536]]]], [[4, 15, 4, 7, 5], [v =
-1, 3^(1/2) < u, x = -1, And(0 < y,y < u^2-1), (y+1)^(1/2) < z], [
regular_chain, [[-1, -1], [3, 3], [-1, -1], [4, 4], [4, 4]]]], [[5, 5, 11, 4,
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, 4, 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, 4, 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, 5, 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, 5, 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,
5, 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, 5, 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, 5,
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, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 1], [And
(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), u^2-v^2+x+1 <
y, z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631
/2097152], [1/2, 1/2], [3, 3], [-3, -3]]]], [[5, 9, 9, 9, 2], [And(-1 < v,v <
0), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), u^2-v^2+x+1 < y, z = -(y-
x)^(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, 9, 3], [
And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), u^2-v^2+x+
1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2],
[1696631/2097152, 1696631/2097152], [1/2, 1/2], [3, 3], [0, 0]]]], [[5, 9, 9,
9, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), u^
2-v^2+x+1 < y, z = (y-x)^(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, 9, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And
(0 < x,x < 1), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2
], [1696631/2097152, 1696631/2097152], [1/2, 1/2], [3, 3], [3, 3]]]], [[6, 2,
5, 4, 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, 4, 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, 4, 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, 10, 2
, 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, 4, 2, 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, 2, 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, 2, 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, 1, 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], [-1, -1], [0, 0]]]], [[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(0 < y,y < 1), z = z], [regular_chain, [[1/2, 1/2], [-1696631
/2097152, -1696631/2097152], [1, 1], [1/2, 1/2], [0, 0]]]], [[8, 1, 1, 9, 1],
[v = 1, u < -3^(1/2), x < -u^2, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[1,
1], [-3, -3], [-10, -10], [1, 1], [-5, -5]]]], [[8, 1, 1, 9, 2], [v = 1, u < -
3^(1/2), x < -u^2, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-3, -3]
, [-10, -10], [1, 1], [-1738867/524288, -3477733/1048576]]]], [[8, 1, 1, 9, 3]
, [v = 1, u < -3^(1/2), x < -u^2, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[1, 1], [-3, -3], [-10, -10], [1, 1], [0, 0]]]], [[8, 1, 1
, 9, 4], [v = 1, u < -3^(1/2), x < -u^2, 0 < y, z = (y-x)^(1/2)], [
regular_chain, [[1, 1], [-3, -3], [-10, -10], [1, 1], [3477733/1048576, 
1738867/524288]]]], [[8, 1, 1, 9, 5], [v = 1, u < -3^(1/2), x < -u^2, 0 < y, (
y-x)^(1/2) < z], [regular_chain, [[1, 1], [-3, -3], [-10, -10], [1, 1], [5, 5]
]]], [[8, 2, 4, 1, 1], [v = 1, u = -3^(1/2), x = -1, y < -2, z = z], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-1, -1], [-3, -\
3], [0, 0]]]], [[8, 8, 7, 5, 1], [v = 1, u = 0, And(0 < x,x < 1), And(x < y,y
< x+2), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [0, 0], [1/2, 1/2], [3/2,
3/2], [-2, -2]]]], [[8, 8, 7, 5, 2], [v = 1, u = 0, And(0 < x,x < 1), And(x <
y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [0, 0], [1/2, 1/2], [3
/2, 3/2], [-1, -1]]]], [[8, 8, 7, 5, 3], [v = 1, u = 0, And(0 < x,x < 1), And(
x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1
], [0, 0], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[8, 8, 7, 5, 4], [v = 1, u = 0,
And(0 < x,x < 1), And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[1, 1
], [0, 0], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[8, 8, 7, 5, 5], [v = 1, u = 0,
And(0 < x,x < 1), And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[1, 1
], [0, 0], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[8, 10, 1, 1, 1], [v = 1, u = 1
, x < -1, y < x, z = z], [regular_chain, [[1, 1], [1, 1], [-2, -2], [-3, -3],
[0, 0]]]], [[8, 14, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = 1, 3^(1/2) < u, And(1 <
x,x < u^2-2), And(x < y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[1, 1]
, [3, 3], [4, 4], [17/2, 17/2], [-4, -4]]]], [[8, 15, 9, 7, 2], [v = 1, 3^(1/2
) < u, And(1 < x,x < u^2-2), And(x < y,y < u^2+x), z = -(y-x)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [4, 4], [17/2, 17/2], [-1112183/524288, -\
2224365/1048576]]]], [[8, 15, 9, 7, 3], [v = 1, 3^(1/2) < u, And(1 < x,x < u^2
-2), And(x < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [3, 3], [4, 4], [17/2, 17/2], [0, 0]]]], [[8, 15, 9, 7
, 4], [v = 1, 3^(1/2) < u, And(1 < x,x < u^2-2), And(x < y,y < u^2+x), z = (y-
x)^(1/2)], [regular_chain, [[1, 1], [3, 3], [4, 4], [17/2, 17/2], [2224365/
1048576, 1112183/524288]]]], [[8, 15, 9, 7, 5], [v = 1, 3^(1/2) < u, And(1 < x
,x < u^2-2), And(x < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[1, 1],
[3, 3], [4, 4], [17/2, 17/2], [4, 4]]]], [[9, 6, 7, 6, 1], [And(1 < v,v < 2^(1
/2)), u = -v, 1 < x, y = x+1, z < -1], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [3, 3], [-2, -\
2]]]], [[9, 6, 7, 6, 2], [And(1 < v,v < 2^(1/2)), u = -v, 1 < x, y = x+1, z =
-1], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [3, 3], [-1, -1]]]], [[9, 6, 7, 6, 3], [And(1 < v,v
< 2^(1/2)), u = -v, 1 < x, y = x+1, And(-1 < z,z < 1)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2
], [3, 3], [0, 0]]]], [[9, 6, 7, 6, 4], [And(1 < v,v < 2^(1/2)), u = -v, 1 < x
, y = x+1, z = 1], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [2, 2], [3, 3], [1, 1]]]], [[9, 6, 7, 6, 5
], [And(1 < v,v < 2^(1/2)), u = -v, 1 < x, y = x+1, 1 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2
], [3, 3], [2, 2]]]], [[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 < 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [2, 2], [-1, -1], [0, 0]]]], [[9, 10, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 16, 6, 1, 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], [-2, -2], [0, 0]]]], [[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 = 0, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [6860721/1048576,
3430361/524288], [0, 0], [0, 0]]]], [[10, 4, 9, 2, 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, 2, 5
, 1], [v = 2^(1/2), u = -v, x = -1, 0 < y, z < -(y+1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [-1, -1
], [1, 1], [-3, -3]]]], [[10, 6, 2, 5, 2], [v = 2^(1/2), u = -v, x = -1, 0 < y
, z = -(y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1482911/1048576, -741455/524288], [-1, -1], [1, 1], [-1482911/1048576, -741455
/524288]]]], [[10, 6, 2, 5, 3], [v = 2^(1/2), u = -v, x = -1, 0 < y, And(-(y+1
)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [-1, -1], [1, 1], [0, 0]]]], [[
10, 6, 2, 5, 4], [v = 2^(1/2), u = -v, x = -1, 0 < y, z = (y+1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [-1, -1], [1, 1], [741455/524288, 1482911/1048576]]]], [[10, 6, 2, 5,
5], [v = 2^(1/2), u = -v, x = -1, 0 < y, (y+1)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [-1, -1],
[1, 1], [3, 3]]]], [[10, 12, 5, 3, 1], [v = 2^(1/2), u = 1, And(-1 < x,x < 0),
And(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1, 1], [-1/2, -1/2], [-1/4, -1/4], [-2, -2]]]], [[10, 12, 5, 3, 2],
[v = 2^(1/2), u = 1, And(-1 < x,x < 0), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v = 2^(1/2), u = 1, And(-1 < x,x
< 0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[741455/524288, 1482911/1048576], [1, 1], [-1/2, -1/2], [-1/4, -1/4], [0, 0
]]]], [[10, 12, 5, 3, 4], [v = 2^(1/2), u = 1, And(-1 < x,x < 0), And(x < y,y
< 0), z = (y-x)^(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, 3, 5], [v = 2^(1/2
), u = 1, And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1/2, -1/2], [-1/4,
-1/4], [2, 2]]]], [[10, 13, 10, 5, 1], [v = 2^(1/2), And(1 < u,u < v), x = 1,
And(1 < y,y < u^2), 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(1 < y,y < u^2), 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(1 < 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], [1288231/1048576, 
1288231/1048576], [0, 0]]]], [[10, 13, 10, 5, 4], [v = 2^(1/2), And(1 < u,u <
v), x = 1, And(1 < y,y < u^2), 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(1 < y,y < u^2), (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 = 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, 8, 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, 8, 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, 8, 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, 8, 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, 9, 1], [2^(1/2) < v, And(-(v^2
+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, z < -(y-x)^(1/2)],
[regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [2, 2], [6, 6],
[-3, -3]]]], [[11, 3, 11, 9, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^
2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3
], [-3396811/1048576, -3396811/1048576], [2, 2], [6, 6], [-2, -2]]]], [[11, 3,
11, 9, 3], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, u^
2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3]
, [-3396811/1048576, -3396811/1048576], [2, 2], [6, 6], [0, 0]]]], [[11, 3, 11
, 9, 4], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, u^2-
v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [2, 2], [6, 6], [2, 2]]]], [[11, 3, 11, 9, 5], [2^(1/2) < v,
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, (y-x)^(1/2
) < z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [2, 2],
[6, 6], [3, 3]]]], [[11, 10, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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+2), z < -(
y-1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [1, 1], [6, 6], [-4, -4]]]], [[
11, 11, 8, 7, 2], [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+2), z = -(y-1)^(1/2)], [regular_chain, [[3, 3], [0,
0], [1, 1], [6, 6], [-146543/65536, -2344687/1048576]]]], [[11, 11, 8, 7, 3],
[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+2), 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, 7, 4], [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+2), z = (y-1)^
(1/2)], [regular_chain, [[3, 3], [0, 0], [1, 1], [6, 6], [2344687/1048576, 
146543/65536]]]], [[11, 11, 8, 7, 5], [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+2), (y-1)^(1/2) < z], [
regular_chain, [[3, 3], [0, 0], [1, 1], [6, 6], [4, 4]]]], [[11, 15, 10, 2, 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, 6, 6, 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], [517383/
524288, 1034767/1048576], [-3, -3]]]], [[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 = 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], [517383/524288, 1034767/1048576], [-1281417/1048576, -\
160177/131072]]]], [[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 = 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], [517383/524288, 1034767/1048576], [0, 0]]]], [[11,
17, 6, 6, 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], [517383/524288, 1034767/
1048576], [160177/131072, 1281417/1048576]]]], [[11, 17, 6, 6, 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], [517383/524288, 1034767/1048576], [3, 3]]]], [[1,
1, 2, 7, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, 0 < y, z < -(u
^2-v^2+y+1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-17, -17], [1, 1], [
-6, -6]]]], [[1, 1, 2, 7, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -u^2+v^2-\
1, 0 < y, 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, 7, 3], [v <
-2^(1/2), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, 0 < y, 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, 7, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), x =
-u^2+v^2-1, 0 < y, 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, 7, 5]
, [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, 0 < y, (u^2-v^2+y+1)^(1/2
) < z], [regular_chain, [[-3, -3], [-5, -5], [-17, -17], [1, 1], [6, 6]]]], [[
1, 2, 5, 3, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(x-1
< y,y < x), z = z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [-1/2, -1/2], [-1, -1], [0, 0]]]], [[1, 8, 8, 5, 1], [v < -2^(1/2),
u = -(v^2-1)^(1/2), x = 1, And(1 < y,y < 3), z < -(y-1)^(1/2)], [regular_chain
, [[-3, -3], [-2965821/1048576, -11863283/4194304], [1, 1], [2, 2], [-2, -2]]]
], [[1, 8, 8, 5, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 1, And(1 < y,y < 3
), z = -(y-1)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [1, 1], [2, 2], [-1, -1]]]], [[1, 8, 8, 5, 3], [v < -2^(1/2), u = -(
v^2-1)^(1/2), x = 1, And(1 < y,y < 3), 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, 5, 4], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 1, And
(1 < y,y < 3), z = (y-1)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576,
-11863283/4194304], [1, 1], [2, 2], [1, 1]]]], [[1, 8, 8, 5, 5], [v < -2^(1/2)
, u = -(v^2-1)^(1/2), x = 1, And(1 < y,y < 3), (y-1)^(1/2) < z], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [1, 1], [2, 2
], [2, 2]]]], [[1, 10, 2, 3, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -3, 
And(-4 < y,y < -3), z = z], [regular_chain, [[-3, -3], [-5548543/2097152, -\
2774271/1048576], [-3, -3], [-7/2, -7/2], [0, 0]]]], [[1, 14, 1, 1, 1], [v < -
2^(1/2), u = (v^2-1)^(1/2), x < -2, y < x, z = z], [regular_chain, [[-3, -3],
[741455/262144, 2965821/1048576], [-3, -3], [-4, -4], [0, 0]]]], [[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 = 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], [129143/524288,
258287/1048576], [-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 = 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], [129143/524288, 258287/1048576], [-735979/
1048576, -1471957/2097152]]]], [[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 = u^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], [129143/524288,
258287/1048576], [-1/4194304, -1/4194304]]]], [[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 = 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], [129143/524288, 258287/1048576],
[367989/524288, 735979/1048576]]]], [[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 = 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], [129143/524288, 258287/1048576], [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 < x-u^2+v^2+1, z = z], [regular_chain, [[-3, -3], [5, 5], [8, 8], [-8, -8],
[0, 0]]]], [[2, 1, 11, 6, 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, 6, 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, 6, 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, 4, 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, 4, 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, 4, 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, 9, 1], [v = -2^(1/2), And(0 < u,u < 1), And(-1 < x
,x < 0), x-u^2+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1/2, 1/2], [-1/2, -1/2], [4, 4], [-4, -4]]]], [[2, 11, 5, 9,
2], [v = -2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), x-u^2+3 < y, z = -(y-x
)^(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, 9, 3],
[v = -2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), x-u^2+3 < y, And(-(y-x)^(1
/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288]
, [1/2, 1/2], [-1/2, -1/2], [4, 4], [0, 0]]]], [[2, 11, 5, 9, 4], [v = -2^(1/2
), And(0 < u,u < 1), And(-1 < x,x < 0), x-u^2+3 < y, z = (y-x)^(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, 9, 5], [v = -2^(1/2)
, And(0 < u,u < 1), And(-1 < x,x < 0), x-u^2+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-1/2, -1/2],
[4, 4], [4, 4]]]], [[2, 17, 9, 6, 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, 6, 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, 6, 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, 3, 2, 1], [v = -2^(1/2), 2 < u, 
And(-u^2+1 < x,x < -1), y = x-u^2+3, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [-9/2, -9/2], [-21/2, -21/2], [0, 0]]]], [[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(1 < y,y < u^2-v^2+2), 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, 7, 2], [
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 = -(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, 7, 3], [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), 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, 7, 4], [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 = (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, 7, 5], [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), (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, 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 < u^2-v^
2-1, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-1116679/2097152, -558339/1048576], [-2, -2], [0,
0]]]], [[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(u^2-v^2+x+1 < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[3, 11, 9, 7, 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-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [3/2
, 3/2], [-1, -1]]]], [[3, 11, 9, 7, 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-u^2+v^2+1), 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [3/2, 3/2], [0
, 0]]]], [[3, 11, 9, 7, 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-u^2+v^2+1), z = (y-x)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[3, 11, 9, 7, 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-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [3/2
, 3/2], [2, 2]]]], [[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 = 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], [980471/1048576, 122559/
131072], [-3, -3]]]], [[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 = 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], [980471/1048576, 122559/
131072], [-1270261/1048576, -317565/262144]]]], [[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 = 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], [980471/1048576, 122559/131072], [0, 0]]]], [[3, 13,
6, 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 = 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], [980471/1048576, 122559/131072], [317565/262144, 
1270261/1048576]]]], [[3, 13, 6, 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 = 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], [980471/1048576, 122559/
131072], [3, 3]]]], [[3, 13, 10, 8, 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], [2587387/1048576, 646847/262144], [-3, -3]]]], [[3,
13, 10, 8, 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], [2587387/
1048576, 646847/262144], [-1270261/1048576, -317565/262144]]]], [[3, 13, 10, 8
, 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
], [2587387/1048576, 646847/262144], [0, 0]]]], [[3, 13, 10, 8, 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], [2587387/1048576, 646847/262144], [
317565/262144, 1270261/1048576]]]], [[3, 13, 10, 8, 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], [2587387/1048576, 646847/262144], [3, 3]]]], [[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 = z], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [898327/524288, 898327/524288], [0, 0], [-250983/524288, -501965/
1048576], [0, 0]]]], [[4, 3, 11, 1, 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], [-1, -1], [0, 0]]]], [[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, -u^2+3 < y, z < -(y-1)^(1/2)], [regular_chain, [[
-1, -1], [1/2, 1/2], [1, 1], [4, 4], [-3, -3]]]], [[4, 9, 10, 9, 2], [v = -1,
And(0 < u,u < 1), x = 1, -u^2+3 < y, z = -(y-1)^(1/2)], [regular_chain, [[-1,
-1], [1/2, 1/2], [1, 1], [4, 4], [-1816187/1048576, -3632373/2097152]]]], [[4,
9, 10, 9, 3], [v = -1, And(0 < u,u < 1), x = 1, -u^2+3 < y, 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, 9, 4], [v = -1, And(0 < u,u < 1), x = 1
, -u^2+3 < y, z = (y-1)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [1, 1],
[4, 4], [908093/524288, 1816187/1048576]]]], [[4, 9, 10, 9, 5], [v = -1, And(0
< u,u < 1), x = 1, -u^2+3 < y, (y-1)^(1/2) < z], [regular_chain, [[-1, -1], [1
/2, 1/2], [1, 1], [4, 4], [3, 3]]]], [[4, 11, 8, 1, 1], [v = -1, And(1 < u,u <
2^(1/2)), x = 0, y < 0, z = z], [regular_chain, [[-1, -1], [1265743/1048576, 
1265743/1048576], [0, 0], [-1, -1], [0, 0]]]], [[5, 2, 3, 7, 1], [And(-1 < v,v
< 0), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), z < -(y-x)^(
1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-2, -2], [1/2, 1/2], [-3,
-3]]]], [[5, 2, 3, 7, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-3 < x,x
< -1), And(0 < y,y < x+3), z = -(y-x)^(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, 7, 3], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0
< y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2,
-1/2], [-3/2, -3/2], [-2, -2], [1/2, 1/2], [0, 0]]]], [[5, 2, 3, 7, 4], [And(-\
1 < v,v < 0), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), z =
(y-x)^(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, 7, 5], [And(-1 < v,v < 0),
u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), (y-x)^(1/2) < z],
[regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-2, -2], [1/2, 1/2], [3, 3]]]],
[[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(0 < y,y < u^2-v^2-1), 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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0)
, And(-(y+1)^(1/2) < z,z < (y+1)^(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(-\
1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = 1, z < 0], [regular_chain, [[0, 0], [1/2, 1/2], [1, 1], [1, 1], [
-1, -1]]]], [[6, 7, 10, 4, 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, 4,
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, 11, 2, 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, 5, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -3, And(-3
< y,y < 0), z < -(y+3)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-3,
-3], [-3/2, -3/2], [-3, -3]]]], [[7, 2, 2, 5, 2], [And(0 < v,v < 1), u = -(v^2
+2)^(1/2), x = -3, And(-3 < y,y < 0), z = -(y+3)^(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, 5, 3], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -3, 
And(-3 < y,y < 0), And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))], [regular_chain, [[1
/2, 1/2], [-3/2, -3/2], [-3, -3], [-3/2, -3/2], [0, 0]]]], [[7, 2, 2, 5, 4], [
And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -3, And(-3 < y,y < 0), z = (y+3)^(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, 5, 5], [And(0 < v,v < 1), u = -
(v^2+2)^(1/2), x = -3, And(-3 < y,y < 0), (y+3)^(1/2) < z], [regular_chain, [[
1/2, 1/2], [-3/2, -3/2], [-3, -3], [-3/2, -3/2], [3, 3]]]], [[7, 8, 5, 1, 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], [-1, -1], [0, 0]]]], [[7, 10, 1, 1, 1], [And
(0 < v,v < 1), u = (v^2+1)^(1/2), x < -2, y < x, z = z], [regular_chain, [[1/2
, 1/2], [1172343/1048576, 146543/131072], [-3, -3], [-4, -4], [0, 0]]]], [[7,
10, 6, 4, 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, 4, 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, 4
, 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, 4, 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, 4, 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, 4, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v
^2+2)^(1/2)), 1 < x, y = x-u^2+v^2+1, z = z], [regular_chain, [[1/2, 1/2], [
343151/262144, 343151/262144], [2, 2], [1611109/1048576, 805555/524288], [0, 0
]]]], [[8, 4, 7, 3, 1], [v = 1, u = -2^(1/2), And(0 < x,x < 1), And(0 < y,y <
x), z = z], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [1/2,
1/2], [1/4, 1/4], [0, 0]]]], [[8, 5, 11, 8, 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], [1812519/524288, 3625039/1048576], [-3, -3]]]], [[8,
5, 11, 8, 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], [1812519
/524288, 3625039/1048576], [-1265743/1048576, -1265743/1048576]]]], [[8, 5, 11
, 8, 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], [
1812519/524288, 3625039/1048576], [0, 0]]]], [[8, 5, 11, 8, 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], [1812519/524288, 3625039/1048576],
[1265743/1048576, 1265743/1048576]]]], [[8, 5, 11, 8, 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], [1812519/524288, 3625039/1048576], [3, 3]]
]], [[8, 10, 6, 7, 1], [v = 1, u = 1, x = 1, 2 < y, z < -(y-1)^(1/2)], [
regular_chain, [[1, 1], [1, 1], [1, 1], [3, 3], [-3, -3]]]], [[8, 10, 6, 7, 2]
, [v = 1, u = 1, x = 1, 2 < y, z = -(y-1)^(1/2)], [regular_chain, [[1, 1], [1,
1], [1, 1], [3, 3], [-1482911/1048576, -741455/524288]]]], [[8, 10, 6, 7, 3],
[v = 1, u = 1, x = 1, 2 < y, 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, 7, 4],
[v = 1, u = 1, x = 1, 2 < y, z = (y-1)^(1/2)], [regular_chain, [[1, 1], [1, 1]
, [1, 1], [3, 3], [741455/524288, 1482911/1048576]]]], [[8, 10, 6, 7, 5], [v =
1, u = 1, x = 1, 2 < y, (y-1)^(1/2) < z], [regular_chain, [[1, 1], [1, 1], [1,
1], [3, 3], [3, 3]]]], [[8, 12, 2, 3, 1], [v = 1, u = 2^(1/2), x = -2, And(-2
< y,y < 0), z < -(y+2)^(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(-2 < y,y < 0), z = -(y+2)^(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(-2 < y,y < 0), And(-(y+2)^(1/2)
< z,z < (y+2)^(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(-2 < y,y < 0), z = (y+2)^(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(-2 < y,y < 0), (y+2)^(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 = x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [2, 2], [2, 2], [-1, -1]]]], [[9, 2, 9, 6,
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, 6, 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, 2, 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, 2, 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, 2, 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, 7, 3, 1], [And(1 < v,v < 2^(1/2)), u = v, 1 < x, And(0 < y,y < x), z = z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743
/1048576], [2, 2], [1, 1], [0, 0]]]], [[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, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-3/2, -3
/2], [-3, -3], [0, 0]]]], [[10, 2, 9, 9, 1], [v = 2^(1/2), u = -2, 1 < x, x+3
< y, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2
, -2], [2, 2], [6, 6], [-3, -3]]]], [[10, 2, 9, 9, 2], [v = 2^(1/2), u = -2, 1
< x, x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [2, 2], [6, 6], [-2, -2]]]], [[10, 2, 9, 9, 3], [v = 2^(1/
2), u = -2, 1 < x, x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [2, 2], [6, 6], [0
, 0]]]], [[10, 2, 9, 9, 4], [v = 2^(1/2), u = -2, 1 < x, x+3 < y, z = (y-x)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [2, 2], [6,
6], [2, 2]]]], [[10, 2, 9, 9, 5], [v = 2^(1/2), u = -2, 1 < x, x+3 < y, (y-x)^
(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [2, 2
], [6, 6], [3, 3]]]], [[10, 4, 3, 5, 1], [v = 2^(1/2), u = -3^(1/2), And(-2 <
x,x < -1), And(0 < y,y < x+2), z < -(y-x)^(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, 5, 2], [v = 2^(1/2), u = -3^(1/2), And(-2
< x,x < -1), And(0 < y,y < x+2), z = -(y-x)^(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, 5, 3], [v = 2^(1/2
), u = -3^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2), And(-(y-x)^(1/2) < z,
z < (y-x)^(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, 5, 4], [v = 2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2
), z = (y-x)^(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, 5, 5], [v = 2^(1/2), u = -3^(1/2), And(-2 < x,x
< -1), And(0 < y,y < x+2), (y-x)^(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, 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 < 0), z
< -(y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-\
3, -3], [-3/2, -3/2], [-3, -3]]]], [[10, 10, 2, 5, 2], [v = 2^(1/2), u = 0, x
= -3, And(-3 < y,y < 0), z = -(y+3)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [-3, -3], [-3/2, -3/2], [-1284239/1048576, -642119/
524288]]]], [[10, 10, 2, 5, 3], [v = 2^(1/2), u = 0, x = -3, And(-3 < y,y < 0)
, And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [-3, -3], [-3/2, -3/2], [0, 0]]]], [[10, 10, 2, 5, 4
], [v = 2^(1/2), u = 0, x = -3, And(-3 < y,y < 0), z = (y+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-3, -3], [-3/2, -3/
2], [642119/524288, 1284239/1048576]]]], [[10, 10, 2, 5, 5], [v = 2^(1/2), u =
0, x = -3, And(-3 < y,y < 0), (y+3)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [0, 0], [-3, -3], [-3/2, -3/2], [3, 3]]]], [[10, 16,
5, 5, 1], [v = 2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), z
< -(y-x)^(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,
5, 2], [v = 2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), z = -
(y-x)^(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, 5, 3], [v = 2^(1/2), u = 3^(1/2), And(-1 < x,x < 0),
And(0 < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 5, 4], [v = 2^(1/2), u = 3^(1/2), And(-\
1 < x,x < 0), And(0 < y,y < x+2), z = (y-x)^(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, 5, 5], [v = 2^(1/2),
u = 3^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), (y-x)^(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, 7, 1], [v = 2^(1/
2), And(3^(1/2) < u,u < 2), x = 1, And(1 < y,y < u^2), 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, 7, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = 1, And(1 < y,y < u^2), 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, 7, 3], [v = 2^(1/2), And(3^(1/2) < u
,u < 2), x = 1, And(1 < y,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], [4699771/2097152, 4699771/2097152], [0, 0]]]], [[10, 17, 10,
7, 4], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = 1, And(1 < y,y < u^2), 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, 7, 5], [v = 2^(1/2), And(3^(1/2)
< u,u < 2), x = 1, And(1 < y,y < u^2), (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, 2, 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, 8, 3, 1], [v = 2^(1
/2), 2 < u, x = 1, And(-u^2+4 < y,y < 0), z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [1, 1], [-5/2, -5/2], [0, 0]]]], [[11, 6, 5,
5, 1], [2^(1/2) < v, u = -v, And(0 < x,x < 1), And(x < y,y < x+1), z < -(y-x)^
(1/2)], [regular_chain, [[3, 3], [-3, -3], [1/2, 1/2], [1, 1], [-2, -2]]]], [[
11, 6, 5, 5, 2], [2^(1/2) < v, u = -v, And(0 < x,x < 1), And(x < y,y < x+1), z
= -(y-x)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [1/2, 1/2], [1, 1], [-\
1482911/2097152, -741455/1048576]]]], [[11, 6, 5, 5, 3], [2^(1/2) < v, u = -v,
And(0 < x,x < 1), And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[3, 3], [-3, -3], [1/2, 1/2], [1, 1], [0, 0]]]], [[11, 6, 5,
5, 4], [2^(1/2) < v, u = -v, And(0 < x,x < 1), And(x < y,y < x+1), z = (y-x)^(
1/2)], [regular_chain, [[3, 3], [-3, -3], [1/2, 1/2], [1, 1], [741455/1048576,
46341/65536]]]], [[11, 6, 5, 5, 5], [2^(1/2) < v, u = -v, And(0 < x,x < 1), 
And(x < y,y < x+1), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-3, -3], [1/2,
1/2], [1, 1], [2, 2]]]], [[11, 8, 1, 1, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2),
x < -2, y < x, z = z], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [-3, -3], [-4, -4], [0, 0]]]], [[11, 12, 2, 3, 1], [2^(1/2) < v, u =
(v^2-2)^(1/2), x = -3, And(-4 < y,y < -3), z = z], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [-3, -3], [-7/2, -7/2], [0, 0]]]], [[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(0 < y,y < -u^2+v^2+2), z = z], [regular_chain, [[3, 3], [3396811/1048576,
3396811/1048576], [1, 1], [530531/2097152, 530531/2097152], [0, 0]]]], [[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 =
x, z < 0], [regular_chain, [[3, 3], [5, 5], [-9, -9], [-9, -9], [-1, -1]]]], [
[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 = x, z = 0], [regular_chain, [[3, 3], [5, 5], [-9, -9], [-9, -9], [0, 0]]]
], [[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 = x, 0 < z], [regular_chain, [[3, 3], [5, 5], [-9, -9], [-9, -9], [1, 1
]]]], [[1, 4, 8, 3, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = 1, And(0 < y,y
< 1), z = z], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [1
, 1], [1/2, 1/2], [0, 0]]]], [[1, 6, 2, 3, 1], [v < -2^(1/2), u = v, x = -1, 
And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z <
(y+1)^(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(-1 < y,y < 0), z
= (y+1)^(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(-1 < y,y < 0), (y+1)^(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(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), 
And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 <
0, z = z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [
133259/262144, 533037/1048576], [-1, -1], [0, 0]]]], [[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 < -(y-x)^(1/2)], [regular_chain, [[-3,
-3], [3396811/1048576, 3396811/1048576], [129511/524288, 129511/524288], [4, 4
], [-3, -3]]]], [[1, 19, 7, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [129511/524288,
129511/524288], [4, 4], [-8125459/4194304, -16250917/8388608]]]], [[1, 19, 7,
9, 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), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [129511/524288,
129511/524288], [4, 4], [-5/16777216, -5/16777216]]]], [[1, 19, 7, 9, 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),
u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576
, 3396811/1048576], [129511/524288, 129511/524288], [4, 4], [507841/262144, 
2031365/1048576]]]], [[1, 19, 7, 9, 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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z],
[regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [129511/524288,
129511/524288], [4, 4], [3, 3]]]], [[2, 4, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 8, 2, 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, 2, 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, 2,
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, 6, 1, 3, 1], [v = -2^(1/2),
u = v, x < -1, And(x < y,y < x+1), z < -(y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-2, -2]
, [-3/2, -3/2], [-2, -2]]]], [[2, 6, 1, 3, 2], [v = -2^(1/2), u = v, x < -1, 
And(x < y,y < x+1), z = -(y-x)^(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, 3, 3], [v = -2^(1/2), u = v,
x < -1, And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [-2, -2], [-3/2, -3/2], [0, 0]]]], [[2, 6, 1, 3, 4], [v = -2^(1/2),
u = v, x < -1, And(x < y,y < x+1), z = (y-x)^(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, 3, 5], [v = -2^(1
/2), u = v, x < -1, And(x < y,y < x+1), (y-x)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-2, -2]
, [-3/2, -3/2], [2, 2]]]], [[2, 7, 9, 6, 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], [
501799/524288, 1003599/1048576], [-2, -2]]]], [[2, 7, 9, 6, 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], [501799/524288, 1003599/1048576], [-1417877/
2097152, -354469/524288]]]], [[2, 7, 9, 6, 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], [501799/524288, 1003599/1048576], [0, 0]]]], [[2
, 7, 9, 6, 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], [501799/524288, 1003599/
1048576], [354469/524288, 708939/1048576]]]], [[2, 7, 9, 6, 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], [501799/524288, 1003599/1048576], [2, 2]]]], [[2
, 13, 9, 3, 1], [v = -2^(1/2), And(1 < u,u < -v), And(0 < x,x < 1), And(0 < y,
y < x), 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, 2, 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], [-1101541/2097152, -275385/
524288], [-1, -1]]]], [[2, 15, 6, 2, 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
], [-1101541/2097152, -275385/524288], [0, 0]]]], [[2, 15, 6, 2, 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], [-1101541/2097152, -275385/524288], [1, 1]]]
], [[2, 19, 7, 2, 1], [v = -2^(1/2), 2 < u, And(0 < x,x < 1), y = x-u^2+3, z =
z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [1/2, 1/2], [
-11/2, -11/2], [0, 0]]]], [[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(0 < y,y < x), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [7909297/
2097152, 7909297/2097152], [494331/262144, 494331/262144], [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, -u
^2+v^2+2 < y, z < -(y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [4, 4], [-3, -3]]]], [
[3, 7, 10, 9, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x
= 1, -u^2+v^2+2 < y, 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, 9, 3], [And(-2^(1/2) < v,v
< -1), And(v < u,u < -(v^2-1)^(1/2)), x = 1, -u^2+v^2+2 < y, 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, 9, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2
)), x = 1, -u^2+v^2+2 < y, 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, 9, 5], [And(-2^(1/2) < v,
v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 1, -u^2+v^2+2 < y, (y-1)^(1/2) < z
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1, 1], [4, 4], [3, 3]]]], [[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 = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0]
, [0, 0], [-239655/1048576, -239655/1048576], [0, 0]]]], [[3, 17, 7, 4, 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, 7, 1], [v = -1, u < -3^(1/2), And(1 < x,x < u^2-2),
And(x < y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-3, -3],
[4, 4], [17/2, 17/2], [-4, -4]]]], [[4, 1, 9, 7, 2], [v = -1, u < -3^(1/2), 
And(1 < x,x < u^2-2), And(x < y,y < u^2+x), z = -(y-x)^(1/2)], [regular_chain,
[[-1, -1], [-3, -3], [4, 4], [17/2, 17/2], [-1112183/524288, -2224365/1048576]
]]], [[4, 1, 9, 7, 3], [v = -1, u < -3^(1/2), And(1 < x,x < u^2-2), And(x < y,
y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1],
[-3, -3], [4, 4], [17/2, 17/2], [0, 0]]]], [[4, 1, 9, 7, 4], [v = -1, u < -3^(
1/2), And(1 < x,x < u^2-2), And(x < y,y < u^2+x), z = (y-x)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [4, 4], [17/2, 17/2], [2224365/1048576, 
1112183/524288]]]], [[4, 1, 9, 7, 5], [v = -1, u < -3^(1/2), And(1 < x,x < u^2
-2), And(x < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-3, -\
3], [4, 4], [17/2, 17/2], [4, 4]]]], [[4, 7, 11, 4, 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, 4, 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, 4, 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,
7, 1], [v = -1, And(0 < u,u < 1), x = -u^2, -2*u^2+2 < y, 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, 7, 2], [v = -1, And(0 < u,u < 1), x = -u^2, -2*u^2+2 < y, 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, 7, 3], [v = -1, And(0 < u,u < 1), x
= -u^2, -2*u^2+2 < y, 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, 7, 4], [v = -1, And(0 < u,u < 1), x = -u^2, -2*u^2+2 <
y, 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, 7, 5], [v = -1, And(0 <
u,u < 1), x = -u^2, -2*u^2+2 < y, (u^2+y)^(1/2) < z], [regular_chain, [[-1, -1
], [1/2, 1/2], [-1/4, -1/4], [3, 3], [3, 3]]]], [[4, 13, 11, 1, 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], [-1, -1], [0, 0]]]], [[4, 15, 4, 6
, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) <
u,u < v), 1 < x, And(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain
, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [2, 2], [2409361/
1048576, 2409361/1048576], [-2, -2]]]], [[5, 5, 11, 5, 2], [And(-1 < v,v < 0),
And(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(x < y,y < x-u^2+v^2+1), z = -(y-x)^(
1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [2
, 2], [2409361/1048576, 2409361/1048576], [-572167/1048576, -1144333/2097152]]
]], [[5, 5, 11, 5, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), 1 <
x, And(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [2, 2], [
2409361/1048576, 2409361/1048576], [-1/4194304, -1/4194304]]]], [[5, 5, 11, 5,
4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(x < y,y < x-
u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152
, -1696631/2097152], [2, 2], [2409361/1048576, 2409361/1048576], [286083/
524288, 572167/1048576]]]], [[5, 5, 11, 5, 5], [And(-1 < v,v < 0), And(-(v^2+1
)^(1/2) < u,u < v), 1 < x, And(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [2, 2], [
2409361/1048576, 2409361/1048576], [2, 2]]]], [[5, 7, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 1, 5, 1], [And(-1 < v,v < 0), u = -v, x < -1, And(x+1 < y,y < 0), z < -(y-x
)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-2, -2], [-1/2, -1/2], [
-3, -3]]]], [[5, 8, 1, 5, 2], [And(-1 < v,v < 0), u = -v, x < -1, And(x+1 < y,
y < 0), z = -(y-x)^(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, 5, 3], [And(
-1 < v,v < 0), u = -v, x < -1, And(x+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y
-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-2, -2], [-1/2, -1/2]
, [0, 0]]]], [[5, 8, 1, 5, 4], [And(-1 < v,v < 0), u = -v, x < -1, And(x+1 < y
,y < 0), z = (y-x)^(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, 5, 5], [And(-1
< v,v < 0), u = -v, x < -1, And(x+1 < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-2, -2], [-1/2, -1/2], [3, 3]]]], [
[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 = 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], [1997021/1048576, 998511/
524288], [-3, -3]]]], [[5, 9, 9, 8, 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],
[1997021/1048576, 998511/524288], [-19417/16384, -1242687/1048576]]]], [[5, 9,
9, 8, 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],
[1997021/1048576, 998511/524288], [0, 0]]]], [[5, 9, 9, 8, 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], [1997021/1048576, 998511/524288], [1242687/1048576, 
19417/16384]]]], [[5, 9, 9, 8, 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],
[1997021/1048576, 998511/524288], [3, 3]]]], [[6, 2, 5, 5, 1], [v = 0, u = -2^
(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y
< 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z <
(y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0)
, (y-x)^(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(0 < y,y < -u^2+2), z = z], [regular_chain, [[0, 0]
, [-1265743/1048576, -1265743/1048576], [1, 1], [569265/2097152, 569265/
2097152], [0, 0]]]], [[6, 8, 4, 1, 1], [v = 0, u = 1, x = -1, y < -1, z = z],
[regular_chain, [[0, 0], [1, 1], [-1, -1], [-2, -2], [0, 0]]]], [[6, 9, 9, 9,
1], [v = 0, And(1 < u,u < 2^(1/2)), And(u^2-1 < x,x < 1), u^2+x+1 < y, z < -(y
-x)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [
1527887/2097152, 1527887/2097152], [5, 5], [-4, -4]]]], [[6, 9, 9, 9, 2], [v =
0, And(1 < u,u < 2^(1/2)), And(u^2-1 < x,x < 1), u^2+x+1 < y, z = -(y-x)^(1/2)
], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [1527887/
2097152, 1527887/2097152], [5, 5], [-2167143/1048576, -1083571/524288]]]], [[6
, 9, 9, 9, 3], [v = 0, And(1 < u,u < 2^(1/2)), And(u^2-1 < x,x < 1), u^2+x+1 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [1527887/2097152, 1527887/2097152], [5, 5], [0, 0]]
]], [[6, 9, 9, 9, 4], [v = 0, And(1 < u,u < 2^(1/2)), And(u^2-1 < x,x < 1), u^
2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [1527887/2097152, 1527887/2097152], [5, 5], [1083571/524288,
2167143/1048576]]]], [[6, 9, 9, 9, 5], [v = 0, And(1 < u,u < 2^(1/2)), And(u^2
-1 < x,x < 1), u^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [1527887/2097152, 1527887/2097152], [5, 5],
[4, 4]]]], [[7, 4, 4, 5, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -1, 
And(0 < y,y < 1), z < -(y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/
131072, -1172343/1048576], [-1, -1], [1/2, 1/2], [-3, -3]]]], [[7, 4, 4, 5, 2]
, [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -1, And(0 < y,y < 1), z = -(y+1)^
(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, 5, 3], [And
(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -1, And(0 < 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], [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 = (y+1)^(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, 5, 5], [And(0 < v,v <
1), u = -(v^2+1)^(1/2), x = -1, And(0 < y,y < 1), (y+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-1, -1], [1/2
, 1/2], [3, 3]]]], [[7, 5, 10, 4, 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, 4, 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, 4, 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, 2, 1, 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], [-17, -17], [0, 0]]]], [[8, 2, 4, 2, 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, 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, x-u^2+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [1
/2, 1/2], [2, 2], [5, 5], [-3, -3]]]], [[8, 9, 11, 9, 2], [v = 1, And(0 < u,u
< 1), 1 < x, x-u^2+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/
2], [2, 2], [5, 5], [-1816187/1048576, -3632373/2097152]]]], [[8, 9, 11, 9, 3]
, [v = 1, And(0 < u,u < 1), 1 < x, x-u^2+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2], [2, 2], [5, 5], [-1/4194304, -1
/4194304]]]], [[8, 9, 11, 9, 4], [v = 1, And(0 < u,u < 1), 1 < x, x-u^2+2 < y,
z = (y-x)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [2, 2], [5, 5], [908093
/524288, 1816187/1048576]]]], [[8, 9, 11, 9, 5], [v = 1, And(0 < u,u < 1), 1 <
x, x-u^2+2 < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2], [2, 2],
[5, 5], [3, 3]]]], [[8, 14, 5, 7, 1], [v = 1, u = 3^(1/2), And(-1 < x,x < 0),
And(0 < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [908093/524288
, 1816187/1048576], [-1/2, -1/2], [5/4, 5/4], [-3, -3]]]], [[8, 14, 5, 7, 2],
[v = 1, u = 3^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), z = -(y-x)^(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, 7, 3], [v = 1, u = 3^(1/
2), And(-1 < x,x < 0), And(0 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1/2, -1/2],
[5/4, 5/4], [0, 0]]]], [[8, 14, 5, 7, 4], [v = 1, u = 3^(1/2), And(-1 < x,x <
0), And(0 < y,y < x+3), z = (y-x)^(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, 7, 5], [v = 1, u = 3^(1/2), And(-1 < x,x < 0), And(0 < y
,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [5/4, 5/4], [3, 3]]]], [[8, 15, 9, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 6, 7, 5, 1], [And(1 < v,v < 2^(1/2)), u = -v, 1 < x, And(x < y,y < x+1), z
< -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [2, 2], [5/2, 5/2], [-2, -2]]]], [[9, 6, 7
, 5, 2], [And(1 < v,v < 2^(1/2)), u = -v, 1 < x, And(x < y,y < x+1), z = -(y-x
)^(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, 5, 3], [And(1 < v,v < 2^(1/2)), u = -v, 1 < x, And(x <
y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [5/2,
5/2], [0, 0]]]], [[9, 6, 7, 5, 4], [And(1 < v,v < 2^(1/2)), u = -v, 1 < x, And
(x < y,y < x+1), z = (y-x)^(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, 5, 5], [And(1 < v,v < 2^(1/2)), u = -v, 1
< x, And(x < y,y < x+1), (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [5/2, 5/2], [2
, 2]]]], [[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 < y,y < 0), z < -(y-x)^(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, 3, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2
-1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-2 < x,x <
-1), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [And(1 <
v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z =
(y-x)^(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, 3, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And
(-2 < x,x < -1), And(x < y,y < 0), (y-x)^(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, 9, 2, 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, 2, 5, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -2, 0 < y, z < -
(y+2)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [-2, -2], [1, 1], [-3, -3]]]], [[9, 10, 2, 5, 2], [
And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -2, 0 < y, z = -(y+2)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-2, -2], [1, 1], [-1816187/1048576, -3632373/2097152]]]], [[9, 10,
2, 5, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -2, 0 < y, And(-(y+2
)^(1/2) < z,z < (y+2)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [354469/524288, 708939/1048576], [-2, -2], [1, 1], [-1/4194304, -1/
4194304]]]], [[9, 10, 2, 5, 4], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x
= -2, 0 < y, z = (y+2)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [354469/524288, 708939/1048576], [-2, -2], [1, 1], [908093/524288, 
1816187/1048576]]]], [[9, 10, 2, 5, 5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(
1/2), x = -2, 0 < y, (y+2)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [354469/524288, 708939/1048576], [-2, -2], [1, 1], [3, 3]]]]
, [[9, 16, 5, 9, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-1 < x,x
< 0), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [121853/65536, 1949649/1048576], [-1/2, -1/2], [4, 4], [-4, -4]]]],
[[9, 16, 5, 9, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-1 < x,x <
0), x+3 < y, z = -(y-x)^(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, 9, 3], [And(1 < v,v < 2^(1/2)), u =
(v^2+2)^(1/2), And(-1 < x,x < 0), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 
1949649/1048576], [-1/2, -1/2], [4, 4], [0, 0]]]], [[9, 16, 5, 9, 4], [And(1 <
v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-1 < x,x < 0), x+3 < y, z = (y-x)^(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, 9, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-1 < x,x < 0), x+3
< y, (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [-1/2, -1/2], [4, 4], [4, 4]]]], [[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 < 0, z = z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [6860721/
1048576, 3430361/524288], [-1, -1], [0, 0]]]], [[10, 4, 9, 3, 1], [v = 2^(1/2)
, u = -3^(1/2), 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [2, 2], [1, 1]
, [0, 0]]]], [[10, 6, 3, 1, 1], [v = 2^(1/2), u = -v, And(-1 < x,x < 0), y < x
, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576
, -741455/524288], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[10, 12, 5, 2, 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, 2, 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, 2, 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, 4, 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, 4, 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, 4, 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, 7, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y <
x+3), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [1/2, 1/2], [2, 2], [-3, -3]]]], [[11, 2, 7, 7, 2], [2^(1/2) < v, u
= -(v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [1/2, 1/2], [2, 2
], [-1284239/1048576, -642119/524288]]]], [[11, 2, 7, 7, 3], [2^(1/2) < v, u =
-(v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [
1/2, 1/2], [2, 2], [0, 0]]]], [[11, 2, 7, 7, 4], [2^(1/2) < v, u = -(v^2+2)^(1
/2), And(0 < x,x < 1), And(x < y,y < x+3), z = (y-x)^(1/2)], [regular_chain, [
[3, 3], [-1738867/524288, -3477733/1048576], [1/2, 1/2], [2, 2], [642119/
524288, 1284239/1048576]]]], [[11, 2, 7, 7, 5], [2^(1/2) < v, u = -(v^2+2)^(1/
2), And(0 < x,x < 1), And(x < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[
3, 3], [-1738867/524288, -3477733/1048576], [1/2, 1/2], [2, 2], [3, 3]]]], [[
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 = u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [2, 2], [1178087/262144, 4712349/1048576],
[-3, -3]]]], [[11, 3, 11, 8, 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], [1178087/262144, 
4712349/1048576], [-1655969/1048576, -3311937/2097152]]]], [[11, 3, 11, 8, 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], [1178087/262144, 4712349/
1048576], [-1/4194304, -1/4194304]]]], [[11, 3, 11, 8, 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]
, [1178087/262144, 4712349/1048576], [51749/32768, 1655969/1048576]]]], [[11,
3, 11, 8, 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], [1178087/262144, 4712349/1048576], [3, 3]]
]], [[11, 10, 4, 7, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -1, And(0 < y,y
< 2), z < -(y+1)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [-1, -1], [1, 1], [-3, -3]]]], [[11, 10, 4, 7, 2], [2^(1/2) < v, u =
-(v^2-2)^(1/2), x = -1, And(0 < y,y < 2), z = -(y+1)^(1/2)], [regular_chain, [
[3, 3], [-5548543/2097152, -2774271/1048576], [-1, -1], [1, 1], [-1482911/
1048576, -741455/524288]]]], [[11, 10, 4, 7, 3], [2^(1/2) < v, u = -(v^2-2)^(1
/2), x = -1, And(0 < y,y < 2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-1, -1], [1, 1]
, [0, 0]]]], [[11, 10, 4, 7, 4], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -1, And
(0 < y,y < 2), z = (y+1)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -\
2774271/1048576], [-1, -1], [1, 1], [741455/524288, 1482911/1048576]]]], [[11,
10, 4, 7, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -1, And(0 < y,y < 2), (y+1
)^(1/2) < z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [
-1, -1], [1, 1], [3, 3]]]], [[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 < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [0, 0], [1, 1], [11, 11], [-5, -5]]]], [[11, 11, 8, 8,
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, 8, 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, 8, 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, 8, 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, 1, 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], [-1, -1], [0, 0]]]], [[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 <
2*u^2-2*v^2), z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [-531193/1048576, -1062385/2097152], [517383/1048576,
517383/1048576], [-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 < 2*u^2-2*v^2), z = -(y-u^2+v^2+1)^
(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-531193/
1048576, -1062385/2097152], [517383/1048576, 517383/1048576], [-34359733895/
34359738368, -4398045938559/4398046511104]]]], [[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 < 2*u^2-2*v^2), 
And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3
], [403851/131072, 403851/131072], [-531193/1048576, -1062385/2097152], [
517383/1048576, 517383/1048576], [-3621759/8796093022208, -3621759/
8796093022208]]]], [[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 < 2*u^2-2*v^2), z = (y-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-531193/1048576, -\
1062385/2097152], [517383/1048576, 517383/1048576], [1048575/1048576, 1]]]], [
[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 < 2*u^2-2*v^2), (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3],
[403851/131072, 403851/131072], [-531193/1048576, -1062385/2097152], [517383/
1048576, 517383/1048576], [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 < x-u^2+v^2+1, z = z], [
regular_chain, [[-3, -3], [-5, -5], [-9, -9], [-25, -25], [0, 0]]]], [[1, 2, 5
, 4, 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, 4, 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, 4
, 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, 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 = -4, z = z], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-3, -3], [-4,
-4], [0, 0]]]], [[1, 14, 1, 2, 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, 2, 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, 2, 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, 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(u^2-
v^2+x+1 < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [
1580581/2097152, 1580581/2097152], [-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(u^2-v^2+x+1
< y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [1580581/
2097152, 1580581/2097152], [-1, -1]]]], [[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(u^2-v^2+x+1 < y,y <
x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3
], [6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [
1580581/2097152, 1580581/2097152], [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(u^2-v^2+x+1 <
y,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [1580581/
2097152, 1580581/2097152], [1, 1]]]], [[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(u^2-v^2+x+1 < y,y < x-
u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [-516571/2097152, -516571/2097152], [1580581/2097152, 
1580581/2097152], [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 < -(y-1)^(1/2)], [regular_chain, [[-3, -3], [5, 5],
[1, 1], [19, 19], [-6, -6]]]], [[1, 21, 8, 9, 2], [v < -2^(1/2), (v^2+2)^(1/2)
< u, x = 1, u^2-v^2+2 < y, z = -(y-1)^(1/2)], [regular_chain, [[-3, -3], [5, 5
], [1, 1], [19, 19], [-1112183/262144, -4448731/1048576]]]], [[1, 21, 8, 9, 3]
, [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 1, u^2-v^2+2 < y, 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, 9, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 1, u^2-v^2+2 <
y, z = (y-1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [1, 1], [19, 19], [
4448731/1048576, 1112183/262144]]]], [[1, 21, 8, 9, 5], [v < -2^(1/2), (v^2+2)
^(1/2) < u, x = 1, u^2-v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[-3, -3],
[5, 5], [1, 1], [19, 19], [6, 6]]]], [[2, 1, 11, 5, 1], [v = -2^(1/2), u < -2,
u^2-3 < x, And(x-u^2+3 < y,y < x), 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 < y,y < x+3), z < -(y-x)^(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 < y,y < x+3), z =
-(y-x)^(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 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (
y-x)^(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 < y,y < x+3), z = (y-x)^(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 < y,y < x+
3), (y-x)^(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^2-1, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1/2, 1/2], [0, 0], [-2, -2], [0, 0]]]], [[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-u^2+3 < y,y <
x), 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 < x-u^2+3, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [-9/2, -9/2], [-12, -12], [0, 0]]]], [[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 = 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], [3647693/
1048576, 1823847/524288], [-3, -3]]]], [[3, 3, 10, 8, 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], [3647693/1048576, 1823847/524288
], [-3301741/2097152, -825435/524288]]]], [[3, 3, 10, 8, 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], [
3647693/1048576, 1823847/524288], [0, 0]]]], [[3, 3, 10, 8, 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], [3647693/1048576, 1823847/
524288], [825435/524288, 1650871/1048576]]]], [[3, 3, 10, 8, 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], [3647693/1048576, 1823847/
524288], [3, 3]]]], [[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 = u^2-v^2-1, z < 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
1116679/2097152, -558339/1048576], [-1116679/2097152, -558339/1048576], [-1, -\
1]]]], [[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 = u^2-v^2-1, z = 0], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1116679/2097152, -\
558339/1048576], [-1116679/2097152, -558339/1048576], [0, 0]]]], [[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
= u^2-v^2-1, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-1116679/2097152, -558339/1048576], [-\
1116679/2097152, -558339/1048576], [1, 1]]]], [[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 = 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], [974659/1048576, 243665/262144
], [-2, -2]]]], [[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 = 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], [974659/1048576, 243665/262144], [-1374407/2097152, -\
687203/1048576]]]], [[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 = u^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], [974659/1048576, 
243665/262144], [0, 0]]]], [[3, 11, 9, 6, 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], [974659/1048576, 243665/262144], [687203/1048576,
171801/262144]]]], [[3, 11, 9, 6, 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], [974659/1048576, 243665/262144], [2, 2]]]], [[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 < 2*u^2-2*v^2), z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
1116681/2097152, -139585/262144], [980471/2097152, 980471/2097152], [-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 < 2*u^2-2*v^2), z = -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1116681/2097152, -139585/262144], [980471/2097152, 980471/
2097152], [-274877847231/274877906944, -4398045555695/4398046511104]]]], [[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 < 2*u^2-2*v^2), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v
^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701
/1048576, 1454701/1048576], [-1116681/2097152, -139585/262144], [980471/
2097152, 980471/2097152], [-3238895/8796093022208, -3238895/8796093022208]]]],
[[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 < 2*u^2-2*v^2), z = (y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1116681/2097152, -139585/262144], [980471/2097152, 980471/
2097152], [1048575/1048576, 1]]]], [[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 < 2*u^2-2*v^2), (
y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [1454701/1048576, 1454701/1048576], [-1116681/2097152, -139585/262144], [
980471/2097152, 980471/2097152], [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(-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], [2, 2], [-2, -2]]]], [[3
, 13, 10, 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+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]
, [2, 2], [-1, -1]]]], [[3, 13, 10, 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+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], [2, 2], [0, 0]]]], [[3, 13, 10,
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+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], [2, 2]
, [1, 1]]]], [[3, 13, 10, 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+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], [2, 2], [2, 2]]]], [[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 = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288,
898327/524288], [0, 0], [-2, -2], [0, 0]]]], [[4, 3, 11, 2, 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, 5, 1
], [v = -1, And(-2^(1/2) < u,u < -1), x = u^2-2, And(0 < y,y < 2*u^2-2), z < -
(y-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-1138531/2097152, -569265/1048576], [958621/2097152, 958621/2097152
], [-2, -2]]]], [[4, 5, 6, 5, 2], [v = -1, And(-2^(1/2) < u,u < -1), x = u^2-2
, And(0 < y,y < 2*u^2-2), z = -(y-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-1138531/2097152, -569265/1048576], [
958621/2097152, 958621/2097152], [-2199023028127/2199023255552, -8796092112507
/8796093022208]]]], [[4, 5, 6, 5, 3], [v = -1, And(-2^(1/2) < u,u < -1), x = u
^2-2, And(0 < y,y < 2*u^2-2), And(-(y-u^2+2)^(1/2) < z,z < (y-u^2+2)^(1/2))],
[regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1138531/
2097152, -569265/1048576], [958621/2097152, 958621/2097152], [-7478907/
17592186044416, -7478907/17592186044416]]]], [[4, 5, 6, 5, 4], [v = -1, And(-2
^(1/2) < u,u < -1), x = u^2-2, And(0 < y,y < 2*u^2-2), z = (y-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1138531/
2097152, -569265/1048576], [958621/2097152, 958621/2097152], [1048575/1048576,
1]]]], [[4, 5, 6, 5, 5], [v = -1, And(-2^(1/2) < u,u < -1), x = u^2-2, And(0 <
y,y < 2*u^2-2), (y-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [-1138531/2097152, -569265/1048576], [958621/
2097152, 958621/2097152], [2, 2]]]], [[4, 9, 10, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 7, 9, 1], [v = -1, And(1
< u,u < 2^(1/2)), And(u^2-2 < x,x < 0), u^2+x < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-569265/2097152
, -569265/2097152], [3, 3], [-3, -3]]]], [[4, 11, 7, 9, 2], [v = -1, And(1 < u
,u < 2^(1/2)), And(u^2-2 < x,x < 0), u^2+x < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-569265/2097152
, -569265/2097152], [3, 3], [-7586297/4194304, -948287/524288]]]], [[4, 11, 7,
9, 3], [v = -1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), u^2+x < y, And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [1265743/1048576
, 1265743/1048576], [-569265/2097152, -569265/2097152], [3, 3], [0, 0]]]], [[4
, 11, 7, 9, 4], [v = -1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), u^2+x <
y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-569265/2097152, -569265/2097152], [3, 3], [948287/524288, 1896575/
1048576]]]], [[4, 11, 7, 9, 5], [v = -1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x
,x < 0), u^2+x < y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [3, 3], [3, 3]]
]], [[5, 2, 3, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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], [243021/524288, 486043/1048576], [-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], [243021/524288, 
486043/1048576], [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], [243021/524288, 486043/1048576], [1, 1]]]], [[5, 12, 1, 7,
1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x < -3, And(x+3 < y,y < 0), z < -(y
-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-4, -4], [-1/2, -1/2],
[-3, -3]]]], [[5, 12, 1, 7, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x < -3,
And(x+3 < y,y < 0), z = -(y-x)^(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,
7, 3], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x < -3, And(x+3 < y,y < 0), And(
-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [3/2, 3/2],
[-4, -4], [-1/2, -1/2], [0, 0]]]], [[5, 12, 1, 7, 4], [And(-1 < v,v < 0), u =
(v^2+2)^(1/2), x < -3, And(x+3 < y,y < 0), z = (y-x)^(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, 7, 5], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x < -3,
And(x+3 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2
], [-4, -4], [-1/2, -1/2], [3, 3]]]], [[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 = z], [regular_chain, [[
-1/2, -1/2], [3, 3], [0, 0], [-31/8, -31/8], [0, 0]]]], [[6, 6, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 10, 5, 1], [v = 0, And(0 < u,u
< 1), x = 1, And(1 < y,y < -u^2+2), 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(1 < y,y < -u^2+2), 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(1
< 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], [11/8, 11/8], [0, 0]]]], [[6, 7, 10, 5, 4], [v = 0, 
And(0 < u,u < 1), x = 1, And(1 < y,y < -u^2+2), 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(1 <
y,y < -u^2+2), (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
< 0, z = z], [regular_chain, [[0, 0], [3, 3], [9, 9], [-1, -1], [0, 0]]]], [[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 = 0, z = z], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [1/2, 1/2], [0, 0], [0, 0]]]], [[7, 10
, 1, 2, 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, 2, 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, 2, 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, 5,
1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = 0, 2 < y, z < -y^(1/2)], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [0, 0], [3, 3],
[-3, -3]]]], [[7, 10, 6, 5, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = 0, 2
< y, 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,
5, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = 0, 2 < y, 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, 5, 4], [And(0 < v,v < 1
), u = (v^2+1)^(1/2), x = 0, 2 < y, 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, 5, 5], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = 0, 2
< y, y^(1/2) < z], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/
131072], [0, 0], [3, 3], [3, 3]]]], [[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-u^2+v^2+1 < y,y < x), 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 = 0, z = z], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [1/2, 1/2], [0, 0], [0, 0]]]], [[8, 5, 11, 7, 1], [v
= 1, And(-2^(1/2) < u,u < -1), 1 < x, And(x-u^2+2 < y,y < u^2+x), z < -(y-x)^(
1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [2, 2],
[3, 3], [-2, -2]]]], [[8, 5, 11, 7, 2], [v = 1, And(-2^(1/2) < u,u < -1), 1 <
x, And(x-u^2+2 < y,y < u^2+x), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [2, 2], [3, 3], [-1, -1]]]], [[8, 5, 11, 7
, 3], [v = 1, And(-2^(1/2) < u,u < -1), 1 < x, And(x-u^2+2 < y,y < u^2+x), And
(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [2, 2], [3, 3], [0, 0]]]], [[8, 5, 11, 7, 4], [v =
1, And(-2^(1/2) < u,u < -1), 1 < x, And(x-u^2+2 < y,y < u^2+x), z = (y-x)^(1/2
)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [2, 2], [3,
3], [1, 1]]]], [[8, 5, 11, 7, 5], [v = 1, And(-2^(1/2) < u,u < -1), 1 < x, And
(x-u^2+2 < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [2, 2], [3, 3], [2, 2]]]], [[8, 10, 7, 1, 1], [v =
1, u = 1, 1 < x, y < 0, z = z], [regular_chain, [[1, 1], [1, 1], [2, 2], [-1,
-1], [0, 0]]]], [[8, 12, 2, 4, 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, 4, 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, 4, 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,
4, 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, 4, 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]]]], [[9, 2, 9, 5, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^
(1/2), 1 < x, And(x-1 < y,y < 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, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-410915/262144, -3287319/2097152], [-3/2, -3/2], [-3, -3], [0, 0]]]], [[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, 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, 2, 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, 2, 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, 9, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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 < x+2), z < -(y-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [2, 2], [3, 3], [-2, -2]]]], [[10, 8, 9, 5
, 2], [v = 2^(1/2), u = -1, 1 < x, And(x < y,y < x+2), z = -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [2, 2], [3, 3], [-\
1, -1]]]], [[10, 8, 9, 5, 3], [v = 2^(1/2), u = -1, 1 < x, And(x < y,y < x+2),
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-1, -1], [2, 2], [3, 3], [0, 0]]]], [[10, 8, 9, 5, 4], [v =
2^(1/2), u = -1, 1 < x, And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-1, -1], [2, 2], [3, 3], [1, 1]]]], [[10,
8, 9, 5, 5], [v = 2^(1/2), u = -1, 1 < x, And(x < y,y < x+2), (y-x)^(1/2) < z]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [2, 2], [3, 3],
[2, 2]]]], [[10, 10, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 = 1, z < 0
], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [1, 1], [1, 1], [-1, -1]]]], [[10, 17, 10, 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, 10, 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, 18, 4, 1, 1], [v =
2^(1/2), u = 2, x = -1, y < -2, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [2, 2], [-1, -1], [-3, -3], [0, 0]]]], [[10, 19, 8, 2, 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, 5, 6, 1], [2
^(1/2) < v, u = -v, And(0 < x,x < 1), y = x+1, z < -1], [regular_chain, [[3, 3
], [-3, -3], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[11, 6, 5, 6, 2], [2^(1/2)
< v, u = -v, And(0 < x,x < 1), y = x+1, z = -1], [regular_chain, [[3, 3], [-3,
-3], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]], [[11, 6, 5, 6, 3], [2^(1/2) < v, u =
-v, And(0 < x,x < 1), y = x+1, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [-\
3, -3], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[11, 6, 5, 6, 4], [2^(1/2) < v, u
= -v, And(0 < x,x < 1), y = x+1, z = 1], [regular_chain, [[3, 3], [-3, -3], [1
/2, 1/2], [3/2, 3/2], [1, 1]]]], [[11, 6, 5, 6, 5], [2^(1/2) < v, u = -v, And(
0 < x,x < 1), y = x+1, 1 < z], [regular_chain, [[3, 3], [-3, -3], [1/2, 1/2],
[3/2, 3/2], [2, 2]]]], [[11, 8, 1, 2, 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, 2, 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, 2, 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, 2, 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, 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 = z], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [0, 0], [-133259/524288, -133259/524288], [0,
0]]]], [[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 = -u^2+v^2+2, z = z], [regular_chain, [[3, 3], [3396811/1048576
, 3396811/1048576], [1, 1], [530531/1048576, 132633/262144], [0, 0]]]], [[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
(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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
(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-9, -9], [0,
0], [-4, -4]]]], [[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 = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [-5, -\
5], [-9, -9], [0, 0], [-3, -3]]]], [[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 = 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, 6, 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, 6, 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, 5, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), And
(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(
x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), 
And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0),
z = (y-x)^(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(x < y,y < 0), (y-x)^(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 < 0),
z < -(y+3)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/
1048576], [-3, -3], [-3/2, -3/2], [-3, -3]]]], [[1, 10, 2, 5, 2], [v < -2^(1/2
), u = -(v^2-2)^(1/2), x = -3, And(-3 < y,y < 0), z = -(y+3)^(1/2)], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-3, -3], [-3/
2, -3/2], [-1284239/1048576, -642119/524288]]]], [[1, 10, 2, 5, 3], [v < -2^(1
/2), u = -(v^2-2)^(1/2), x = -3, And(-3 < y,y < 0), And(-(y+3)^(1/2) < z,z < (
y+3)^(1/2))], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576],
[-3, -3], [-3/2, -3/2], [0, 0]]]], [[1, 10, 2, 5, 4], [v < -2^(1/2), u = -(v^2
-2)^(1/2), x = -3, And(-3 < y,y < 0), z = (y+3)^(1/2)], [regular_chain, [[-3,
-3], [-5548543/2097152, -2774271/1048576], [-3, -3], [-3/2, -3/2], [642119/
524288, 1284239/1048576]]]], [[1, 10, 2, 5, 5], [v < -2^(1/2), u = -(v^2-2)^(1
/2), x = -3, And(-3 < y,y < 0), (y+3)^(1/2) < z], [regular_chain, [[-3, -3], [
-5548543/2097152, -2774271/1048576], [-3, -3], [-3/2, -3/2], [3, 3]]]], [[1, 
14, 1, 7, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -2, 0 < y, z < -(y-x)^(1/2
)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3, -3], [1,
1], [-3, -3]]]], [[1, 14, 1, 7, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -2,
0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [-3, -3], [1, 1], [-2, -2]]]], [[1, 14, 1, 7, 3], [v < -2^(1/2), u =
(v^2-1)^(1/2), x < -2, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3, -3], [1, 1],
[0, 0]]]], [[1, 14, 1, 7, 4], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -2, 0 < y,
z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576],
[-3, -3], [1, 1], [2, 2]]]], [[1, 14, 1, 7, 5], [v < -2^(1/2), u = (v^2-1)^(1/
2), x < -2, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [741455/262144
, 2965821/1048576], [-3, -3], [1, 1], [3, 3]]]], [[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-u^2+v^2+1
, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [-516571/2097152, -516571/2097152], [661147/524288, 1322295/
1048576], [-3, -3]]]], [[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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)]
, [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-516571/
2097152, -516571/2097152], [661147/524288, 1322295/1048576], [-1287385/1048576
, -160923/131072]]]], [[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-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], [-516571/2097152, -516571/2097152], [661147/524288, 1322295/
1048576], [0, 0]]]], [[1, 15, 7, 8, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), And(-u^2+v^2-1 < x,x < 0), y = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-516571/2097152
, -516571/2097152], [661147/524288, 1322295/1048576], [160923/131072, 1287385/
1048576]]]], [[1, 15, 7, 8, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
And(-u^2+v^2-1 < x,x < 0), y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-516571/2097152
, -516571/2097152], [661147/524288, 1322295/1048576], [3, 3]]]], [[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(x < y,y
< u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [8, 8],
[33/2, 33/2], [-4, -4]]]], [[1, 21, 9, 7, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u
, And(1 < x,x < u^2-v^2-1), And(x < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [5, 5], [8, 8], [33/2, 33/2], [-24456785/8388608, -\
1528549/524288]]]], [[1, 21, 9, 7, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(1
< x,x < u^2-v^2-1), And(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[-3, -3], [5, 5], [8, 8], [33/2, 33/2], [0, 0]]]],
[[1, 21, 9, 7, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1),
And(x < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [5, 5
], [8, 8], [33/2, 33/2], [1528549/524288, 3057099/1048576]]]], [[1, 21, 9, 7,
5], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(x < y,y <
u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [5, 5], [8, 8], [33
/2, 33/2], [4, 4]]]], [[2, 1, 11, 8, 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, 8, 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, 8, 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, 8, 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, 8
, 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, 2, 1], [v = -2^(1/2), u = 0, x < -3, y = x-1, z = z],
[regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-4, -4], [-5, -5
], [0, 0]]]], [[2, 11, 5, 3, 1], [v = -2^(1/2), And(0 < u,u < 1), And(-1 < x,x
< 0), And(u^2+x-1 < y,y < x), 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,
4, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(u^2-3 < x,x < 1), y = x-u^2+
3, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [388511/524288, 388511/524288], [135777/524288, 
271555/1048576], [0, 0]]]], [[2, 19, 2, 3, 1], [v = -2^(1/2), 2 < u, x = -u^2+
1, And(-2*u^2+4 < y,y < -u^2+1), z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [-8, -8], [-11, -11], [0, 0]]]], [[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(-u^2+v^2+2 < y,y < 1), z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-14373233/8388608, -14373233/8388608], [1, 1], [1595187/
2097152, 1595187/2097152], [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 = x-u^2+v^2+1
, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/
4194304], [-245119/1048576, -122559/524288], [-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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/
4194304, -3213831/4194304], [-245119/1048576, -122559/524288], [-1530309/
2097152, -382577/524288]]]], [[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 = x-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], [-3213831/
4194304, -3213831/4194304], [-245119/1048576, -122559/524288], [0, 0]]]], [[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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [
-3213831/4194304, -3213831/4194304], [-245119/1048576, -122559/524288], [
382577/524288, 765155/1048576]]]], [[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 = x-u^2+v^2+1, (
-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/4194304], [-\
245119/1048576, -122559/524288], [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(x < y,y < u^2-
v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [1498947/2097152, 
1498947/2097152], [-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(x < y,y < u^2-v^2+x+1), z
= -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [1/2, 1/2], [1498947/2097152, 1498947/2097152
], [-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(x < y,y < u^2-v^
2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [
1498947/2097152, 1498947/2097152], [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(x < y,y < u^
2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [1498947/2097152, 
1498947/2097152], [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(x <
y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [1498947/
2097152, 1498947/2097152], [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), u^2-v^2+x+1 < y
, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [2, 2
], [-3, -3]]]], [[3, 13, 5, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-v^2+x+1 < y, And
(-(y-x)^(1/2) < z,z < (y-x)^(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, 9, 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
), u^2-v^2+x+1 < y, z = (y-x)^(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, 9,
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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/
4194304, -3213833/4194304], [2, 2], [3, 3]]]], [[3, 13, 11, 5, 1], [And(-2^(1/
2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(x < y,y < x-u^2+v^2+
1), z < -(y-x)^(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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z
< (y-x)^(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(x < y,y < x-u^2+v^2+1), z = (y-x)^(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(x < y,y < x-u^2+v^2+1), (y-x)^(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(x < y,y < u^2+x), z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [2, 2], [
3394631/1048576, 3394631/1048576], [-3, -3]]]], [[4, 3, 11, 7, 2], [v = -1, 
And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, And(x < y,y < u^2+x), z = -(y-x)^(1/2)]
, [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [2, 2], [
3394631/1048576, 3394631/1048576], [-145801/131072, -1166407/1048576]]]], [[4,
3, 11, 7, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, And(x < y,y < u^
2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [2, 2], [3394631/1048576, 3394631/1048576]
, [0, 0]]]], [[4, 3, 11, 7, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x
, And(x < y,y < u^2+x), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [-6598195
/4194304, -6598195/4194304], [2, 2], [3394631/1048576, 3394631/1048576], [
1166407/1048576, 145801/131072]]]], [[4, 3, 11, 7, 5], [v = -1, And(-3^(1/2) <
u,u < -2^(1/2)), 1 < x, And(x < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain
, [[-1, -1], [-6598195/4194304, -6598195/4194304], [2, 2], [3394631/1048576, 
3394631/1048576], [3, 3]]]], [[4, 5, 6, 6, 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], [958621/
1048576, 479311/524288], [-3, -3]]]], [[4, 5, 6, 6, 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], [
958621/1048576, 479311/524288], [-1265743/1048576, -1265743/1048576]]]], [[4,
5, 6, 6, 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], [958621/1048576, 479311/524288], [0, 0]]]
], [[4, 5, 6, 6, 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], [958621/1048576, 479311/524288], [1265743/
1048576, 1265743/1048576]]]], [[4, 5, 6, 6, 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], [958621/
1048576, 479311/524288], [3, 3]]]], [[4, 9, 11, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = 0, And(0 < y,y < -u^2+2), z < -
y^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [0, 0
], [569265/2097152, 569265/2097152], [-2, -2]]]], [[4, 11, 8, 3, 2], [v = -1,
And(1 < u,u < 2^(1/2)), x = 0, And(0 < y,y < -u^2+2), 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, 3
, 3], [v = -1, And(1 < u,u < 2^(1/2)), x = 0, And(0 < y,y < -u^2+2), 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, 3, 4], [v = -1, And(1 < u,u < 2^(1/2)), x = 0, And(0 < y,y < -u
^2+2), 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, 3, 5], [v = -1, And(1 < u,u < 2^(1/2)), x = 0, And(0 <
y,y < -u^2+2), y^(1/2) < z], [regular_chain, [[-1, -1], [1265743/1048576, 
1265743/1048576], [0, 0], [569265/2097152, 569265/2097152], [2, 2]]]], [[5, 2,
4, 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, 4, 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, 4, 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, 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 < 2*u^2-2*v^2), z < -(y-u^2+v^2+1)^(1
/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [243021
/524288, 486043/1048576], [3555279/2097152, 3555279/2097152], [-3, -3]]]], [[5
, 3, 8, 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^2-1 < y,y < 2*u^2-2*v^2), z = -(y-u^2+v^2+1)^(1/2)],
[regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [243021/
524288, 486043/1048576], [3555279/2097152, 3555279/2097152], [-1163761/1048576
, -72735/65536]]]], [[5, 3, 8, 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^2-1 < y,y < 2*u^2-2*v^2), And(
-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[-1/2, -1
/2], [-343151/262144, -343151/262144], [243021/524288, 486043/1048576], [
3555279/2097152, 3555279/2097152], [0, 0]]]], [[5, 3, 8, 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^2-1
< y,y < 2*u^2-2*v^2), z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[-343151/262144, -343151/262144], [243021/524288, 486043/1048576], [3555279/
2097152, 3555279/2097152], [72735/65536, 1163761/1048576]]]], [[5, 3, 8, 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^2-1 < y,y < 2*u^2-2*v^2), (y-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [243021/524288
, 486043/1048576], [3555279/2097152, 3555279/2097152], [3, 3]]]], [[5, 12, 1,
6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [And(-1
< v,v < 0), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1),
z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-1/2, -1/2], [37/8,
37/8], [-4, -4]]]], [[5, 13, 5, 7, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u,
And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 7, 3], [And(-1 < v,v < 0), (v^2+2)^(
1/2) < u, And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,
z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [3, 3], [-1/2, -1/2], [37/8,
37/8], [0, 0]]]], [[5, 13, 5, 7, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, 
And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), z = (y-x)^(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, 7, 5], [And(-1 < v,v < 0), (v^2+2)^(1
/2) < u, And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [3, 3], [-1/2, -1/2], [37/8, 37/8], [4, 4]]]], [
[6, 6, 2, 1, 1], [v = 0, u = 0, x = -1, y < -1, z = z], [regular_chain, [[0, 0
], [0, 0], [-1, -1], [-2, -2], [0, 0]]]], [[6, 7, 9, 7, 1], [v = 0, And(0 < u,
u < 1), And(0 < x,x < 1), And(x-u^2+1 < y,y < u^2+x+1), z < -(y-x)^(1/2)], [
regular_chain, [[0, 0], [1/2, 1/2], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[6,
7, 9, 7, 2], [v = 0, And(0 < u,u < 1), And(0 < x,x < 1), And(x-u^2+1 < y,y < u
^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [1/2, 1/2], [
3/2, 3/2], [-1, -1]]]], [[6, 7, 9, 7, 3], [v = 0, And(0 < u,u < 1), And(0 < x,
x < 1), And(x-u^2+1 < y,y < u^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[0, 0], [1/2, 1/2], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[6, 7
, 9, 7, 4], [v = 0, And(0 < u,u < 1), And(0 < x,x < 1), And(x-u^2+1 < y,y < u^
2+x+1), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [1/2, 1/2], [3/
2, 3/2], [1, 1]]]], [[6, 7, 9, 7, 5], [v = 0, And(0 < u,u < 1), And(0 < x,x <
1), And(x-u^2+1 < y,y < u^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[0, 0], [
1/2, 1/2], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[6, 11, 10, 7, 1], [v = 0, 2^(1
/2) < u, x = u^2-1, 2*u^2 < y, z < -(y-u^2+1)^(1/2)], [regular_chain, [[0, 0],
[3, 3], [8, 8], [19, 19], [-5, -5]]]], [[6, 11, 10, 7, 2], [v = 0, 2^(1/2) < u
, x = u^2-1, 2*u^2 < y, z = -(y-u^2+1)^(1/2)], [regular_chain, [[0, 0], [3, 3]
, [8, 8], [19, 19], [-1738867/524288, -3477733/1048576]]]], [[6, 11, 10, 7, 3]
, [v = 0, 2^(1/2) < u, x = u^2-1, 2*u^2 < y, And(-(y-u^2+1)^(1/2) < z,z < (y-u
^2+1)^(1/2))], [regular_chain, [[0, 0], [3, 3], [8, 8], [19, 19], [0, 0]]]], [
[6, 11, 10, 7, 4], [v = 0, 2^(1/2) < u, x = u^2-1, 2*u^2 < y, z = (y-u^2+1)^(1
/2)], [regular_chain, [[0, 0], [3, 3], [8, 8], [19, 19], [3477733/1048576, 
1738867/524288]]]], [[6, 11, 10, 7, 5], [v = 0, 2^(1/2) < u, x = u^2-1, 2*u^2
< y, (y-u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [3, 3], [8, 8], [19, 19],
[5, 5]]]], [[7, 2, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 8,
4, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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,
4, 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, 4, 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, 4, 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, 1, 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],
[-1, -1], [0, 0]]]], [[7, 12, 1, 1, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2),
x < -3, y < x-1, z = z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-4, -4], [-\
6, -6], [0, 0]]]], [[8, 4, 7, 5, 1], [v = 1, u = -2^(1/2), And(0 < x,x < 1), 
And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[8, 4, 7, 5, 2
], [v = 1, u = -2^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z = -(y-x)^(1/2
)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [1/2, 1/2], [
3/2, 3/2], [-1, -1]]]], [[8, 4, 7, 5, 3], [v = 1, u = -2^(1/2), And(0 < x,x <
1), And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[1, 1], [-1482911/1048576, -741455/524288], [1/2, 1/2], [3/2, 3/2], [0, 0]]
]], [[8, 4, 7, 5, 4], [v = 1, u = -2^(1/2), And(0 < x,x < 1), And(x < y,y < x+
2), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[8, 4, 7, 5, 5], [v = 1, u = -2^(
1/2), And(0 < x,x < 1), And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain,
[[1, 1], [-1482911/1048576, -741455/524288], [1/2, 1/2], [3/2, 3/2], [2, 2]]]]
, [[8, 6, 1, 5, 1], [v = 1, u = -1, x < -1, And(x+1 < y,y < 0), z < -(y-x)^(1/
2)], [regular_chain, [[1, 1], [-1, -1], [-2, -2], [-1/2, -1/2], [-3, -3]]]], [
[8, 6, 1, 5, 2], [v = 1, u = -1, x < -1, And(x+1 < y,y < 0), z = -(y-x)^(1/2)]
, [regular_chain, [[1, 1], [-1, -1], [-2, -2], [-1/2, -1/2], [-1284239/1048576
, -642119/524288]]]], [[8, 6, 1, 5, 3], [v = 1, u = -1, x < -1, And(x+1 < y,y
< 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-1, -1
], [-2, -2], [-1/2, -1/2], [0, 0]]]], [[8, 6, 1, 5, 4], [v = 1, u = -1, x < -1
, And(x+1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [-2
, -2], [-1/2, -1/2], [642119/524288, 1284239/1048576]]]], [[8, 6, 1, 5, 5], [v
= 1, u = -1, x < -1, And(x+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1
, 1], [-1, -1], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[8, 10, 7, 2, 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, 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 = 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, 8, 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, 8, 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, 8, 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, 8, 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, 4, 1, 1], [And(1 < v,v <
2^(1/2)), u = -(v^2+1)^(1/2), x = -1, y < -1, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-1, -1
], [-2, -2], [0, 0]]]], [[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 = 0, z < -2^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-2, -2], [0, 0], [-3, -3]]]], [[9, 14, 2, 4, 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, 4, 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, 4, 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, 4, 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, 3, 1], [v = 2^(1/2), u = -2, 1 < x, And(0 < y,y < x-1),
z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [2, 2], [
1/2, 1/2], [0, 0]]]], [[10, 4, 3, 3, 1], [v = 2^(1/2), u = -3^(1/2), And(-2 <
x,x < -1), And(x < y,y < 0), z < -(y-x)^(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, 3, 2], [v = 2^(1/2), u = -3^(1/2), And(
-2 < x,x < -1), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v =
2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), And(-(y-x)^(1/2)
< z,z < (y-x)^(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, 3, 4], [v = 2^(1/2), u = -3^(1/2), And(-2 < x,x < -\
1), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = 2^(1/2), u =
-3^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), (y-x)^(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, 8, 5, 1], [v = 2^(1/
2), u = -1, x = 1, And(1 < y,y < 3), z < -(y-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1, -1], [1, 1], [2, 2], [-2, -2]]]], [[10,
8, 8, 5, 2], [v = 2^(1/2), u = -1, x = 1, And(1 < y,y < 3), z = -(y-1)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1, 1], [2, 2], [
-1, -1]]]], [[10, 8, 8, 5, 3], [v = 2^(1/2), u = -1, x = 1, And(1 < y,y < 3),
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, 5, 4], [v =
2^(1/2), u = -1, x = 1, And(1 < y,y < 3), z = (y-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1, -1], [1, 1], [2, 2], [1, 1]]]], [[10, 8,
8, 5, 5], [v = 2^(1/2), u = -1, x = 1, And(1 < y,y < 3), (y-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1, 1], [2, 2], [2
, 2]]]], [[10, 10, 2, 3, 1], [v = 2^(1/2), u = 0, x = -3, And(-4 < y,y < -3),
z = z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-3, -3], [
-7/2, -7/2], [0, 0]]]], [[10, 16, 4, 6, 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, 6
, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = 2^(1/2), And(
3^(1/2) < u,u < 2), x = 1, And(-u^2+4 < y,y < 1), 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 = -1, z < 0], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [-1, -1], [-1, -1], [-1, -1]]]], [[10, 18, 4, 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, 4, 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, 19, 8, 9, 1], [v = 2^(1
/2), 2 < u, x = 1, u^2 < y, z < -(y-1)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [3, 3], [1, 1], [10, 10], [-4, -4]]]], [[10, 19, 8, 9, 2],
[v = 2^(1/2), 2 < u, x = 1, u^2 < y, z = -(y-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [1, 1], [10, 10], [-3, -3]]]], [[10,
19, 8, 9, 3], [v = 2^(1/2), 2 < u, x = 1, u^2 < y, 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, 9, 4], [v = 2^(1/2), 2 < u, x = 1, u^2 < y
, z = (y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3],
[1, 1], [10, 10], [3, 3]]]], [[10, 19, 8, 9, 5], [v = 2^(1/2), 2 < u, x = 1, u
^2 < y, (y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
3, 3], [1, 1], [10, 10], [4, 4]]]], [[11, 6, 5, 7, 1], [2^(1/2) < v, u = -v, 
And(0 < x,x < 1), x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-3, -3
], [1/2, 1/2], [3, 3], [-3, -3]]]], [[11, 6, 5, 7, 2], [2^(1/2) < v, u = -v, 
And(0 < x,x < 1), x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-3, -3
], [1/2, 1/2], [3, 3], [-3315889/2097152, -207243/131072]]]], [[11, 6, 5, 7, 3
], [2^(1/2) < v, u = -v, And(0 < x,x < 1), x+1 < y, And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[3, 3], [-3, -3], [1/2, 1/2], [3, 3], [0, 0]]]]
, [[11, 6, 5, 7, 4], [2^(1/2) < v, u = -v, And(0 < x,x < 1), x+1 < y, z = (y-x
)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [1/2, 1/2], [3, 3], [207243/
131072, 1657945/1048576]]]], [[11, 6, 5, 7, 5], [2^(1/2) < v, u = -v, And(0 <
x,x < 1), x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-3, -3], [1/2,
1/2], [3, 3], [3, 3]]]], [[11, 8, 1, 7, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2),
x < -2, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576,
-11863283/4194304], [-3, -3], [1, 1], [-3, -3]]]], [[11, 8, 1, 7, 2], [2^(1/2)
< v, u = -(v^2-1)^(1/2), x < -2, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[3
, 3], [-2965821/1048576, -11863283/4194304], [-3, -3], [1, 1], [-2, -2]]]], [[
11, 8, 1, 7, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -2, 0 < y, And(-(y-x)^(
1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [-3, -3], [1, 1], [0, 0]]]], [[11, 8, 1, 7, 4], [2^(1/2) <
v, u = -(v^2-1)^(1/2), x < -2, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3
], [-2965821/1048576, -11863283/4194304], [-3, -3], [1, 1], [2, 2]]]], [[11, 8
, 1, 7, 5], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -2, 0 < y, (y-x)^(1/2) < z],
[regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3, -3], [1,
1], [3, 3]]]], [[11, 12, 2, 5, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -3, 
And(-3 < y,y < 0), z < -(y+3)^(1/2)], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [-3, -3], [-3/2, -3/2], [-3, -3]]]], [[11, 12, 2, 5, 2],
[2^(1/2) < v, u = (v^2-2)^(1/2), x = -3, And(-3 < y,y < 0), z = -(y+3)^(1/2)],
[regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-3, -3], [-3/2, -3/2]
, [-1284239/1048576, -642119/524288]]]], [[11, 12, 2, 5, 3], [2^(1/2) < v, u =
(v^2-2)^(1/2), x = -3, And(-3 < y,y < 0), And(-(y+3)^(1/2) < z,z < (y+3)^(1/2)
)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-3, -3], [-3/2, -\
3/2], [0, 0]]]], [[11, 12, 2, 5, 4], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -3,
And(-3 < y,y < 0), z = (y+3)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576
, 10837/4096], [-3, -3], [-3/2, -3/2], [642119/524288, 1284239/1048576]]]], [[
11, 12, 2, 5, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -3, And(-3 < y,y < 0),
(y+3)^(1/2) < z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-3,
-3], [-3/2, -3/2], [3, 3]]]], [[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 <
0), z = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [133259
/524288, 133259/524288], [-133259/1048576, -133259/1048576], [0, 0]]]], [[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(-u^2+v^2+2 < y,y < 1), 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 = z], [
regular_chain, [[3, 3], [5, 5], [-1, -1], [-17, -17], [0, 0]]]], [[1, 4, 7, 7,
1], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(0 < x,x < 1), x+2 < y, z < -(y-x)^(
1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [1/2, 1/2
], [4, 4], [-3, -3]]]], [[1, 4, 7, 7, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), 
And(0 < x,x < 1), x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [1/2, 1/2], [4, 4], [-7846825/4194304, -\
980853/524288]]]], [[1, 4, 7, 7, 3], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(0
< x,x < 1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [
[-3, -3], [-3315889/1048576, -207243/65536], [1/2, 1/2], [4, 4], [0, 0]]]], [[
1, 4, 7, 7, 4], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(0 < x,x < 1), x+2 < y,
z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536]
, [1/2, 1/2], [4, 4], [980853/524288, 1961707/1048576]]]], [[1, 4, 7, 7, 5], [
v < -2^(1/2), u = -(v^2+1)^(1/2), And(0 < x,x < 1), x+2 < y, (y-x)^(1/2) < z],
[regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [1/2, 1/2], [4,
4], [3, 3]]]], [[1, 6, 1, 3, 1], [v < -2^(1/2), u = v, x < -1, And(x < y,y < x
+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [-2, -2], [-3/2,
-3/2], [-2, -2]]]], [[1, 6, 1, 3, 2], [v < -2^(1/2), u = v, x < -1, And(x < y,
y < x+1), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [-2, -2], [-\
3/2, -3/2], [-1482911/2097152, -741455/1048576]]]], [[1, 6, 1, 3, 3], [v < -2^
(1/2), u = v, x < -1, And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2)
)], [regular_chain, [[-3, -3], [-3, -3], [-2, -2], [-3/2, -3/2], [0, 0]]]], [[
1, 6, 1, 3, 4], [v < -2^(1/2), u = v, x < -1, And(x < y,y < x+1), z = (y-x)^(1
/2)], [regular_chain, [[-3, -3], [-3, -3], [-2, -2], [-3/2, -3/2], [741455/
1048576, 46341/65536]]]], [[1, 6, 1, 3, 5], [v < -2^(1/2), u = v, x < -1, And(
x < y,y < x+1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-3, -3], [-2, -2
], [-3/2, -3/2], [2, 2]]]], [[1, 12, 3, 4, 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, 4, 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, 4, 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, 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(0 < y,y < x), 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 < x, z = z], [regular_chain, [[-\
3, -3], [207243/65536, 3315889/1048576], [-3, -3], [-4, -4], [0, 0]]]], [[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 = x-u^2+v^2+1, z = z], [regular_chain, [[-3, -3], [3396811
/1048576, 3396811/1048576], [129511/524288, 129511/524288], [-259023/1048576,
-129511/524288], [0, 0]]]], [[2, 4, 1, 5, 1], [v = -2^(1/2), u = -3^(1/2), x <
-2, And(x+2 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1816187/1048576, -3632373/2097152], [-3, -3], [-1/2, -1/2],
[-3, -3]]]], [[2, 4, 1, 5, 2], [v = -2^(1/2), u = -3^(1/2), x < -2, And(x+2 <
y,y < 0), z = -(y-x)^(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, 5, 3], [v = -2^(1/2), u = -3^(
1/2), x < -2, And(x+2 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-3, -3], [-1/2, -1/2], [0, 0]]]], [[2, 4, 1, 5, 4], [v = -2
^(1/2), u = -3^(1/2), x < -2, And(x+2 < y,y < 0), z = (y-x)^(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, 5, 5], [v = -2^(1/2), u = -3^(1/2), x < -2, And(x+2 < y,y < 0), (y-
x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/
1048576, -3632373/2097152], [-3, -3], [-1/2, -1/2], [3, 3]]]], [[2, 5, 7, 6, 1
], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), y = x-u^2+3,
z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [
34423/131072, 275385/1048576], [-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 = x-u^2+3, z = -(-u^2+3)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1101539/4194304, -1101539/4194304], [34423/131072, 275385/
1048576], [-379975/524288, -1519899/2097152]]]], [[2, 5, 7, 6, 3], [v = -2^(1/
2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), y = x-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], [-1101539/4194304, -1101539/
4194304], [34423/131072, 275385/1048576], [-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 = x-
u^2+3, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [-6598195/4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304],
[34423/131072, 275385/1048576], [759949/1048576, 379975/524288]]]], [[2, 5, 7,
6, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), y = x-u^2
+3, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[-6598195/4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [
34423/131072, 275385/1048576], [2, 2]]]], [[2, 6, 2, 1, 1], [v = -2^(1/2), u =
v, x = -1, y < -1, z = z], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1482911/1048576, -741455/524288], [-1, -1], [-2, -2], [0, 0]]]], [[2, 7, 9
, 7, 1], [v = -2^(1/2), And(v < u,u < -1), And(0 < x,x < 1), And(u^2+x-1 < y,y
< x-u^2+3), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [3/2, 3/2], [-2, -2
]]]], [[2, 7, 9, 7, 2], [v = -2^(1/2), And(v < u,u < -1), And(0 < x,x < 1), 
And(u^2+x-1 < y,y < x-u^2+3), z = -(y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [3
/2, 3/2], [-1, -1]]]], [[2, 7, 9, 7, 3], [v = -2^(1/2), And(v < u,u < -1), And
(0 < x,x < 1), And(u^2+x-1 < y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1
/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576,
-1265743/1048576], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[2, 7, 9, 7, 4], [v = -
2^(1/2), And(v < u,u < -1), And(0 < x,x < 1), And(u^2+x-1 < y,y < x-u^2+3), z
= (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743
/1048576, -1265743/1048576], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[2, 7, 9, 7,
5], [v = -2^(1/2), And(v < u,u < -1), And(0 < x,x < 1), And(u^2+x-1 < y,y < x-
u^2+3), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1265743/1048576, -1265743/1048576], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[2,
13, 10, 1, 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], [-1, -1], [0, 0]]]], [[2, 15, 6, 5, 1], [v = -2^(1/2), And(-
v < u,u < 3^(1/2)), x = u^2-3, And(0 < y,y < 2*u^2-4), z < -(y-u^2+3)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097
/2097152], [-1101541/2097152, -275385/524288], [995611/2097152, 995611/2097152
], [-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 < 2*u^2-4), z = -(y-u^2+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-\
1101541/2097152, -275385/524288], [995611/2097152, 995611/2097152], [-\
8796092628879/8796093022208, -17592185257757/17592186044416]]]], [[2, 15, 6, 5
, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = u^2-3, And(0 < y,y < 2*u^2-4
), And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+3)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-1101541/
2097152, -275385/524288], [995611/2097152, 995611/2097152], [-15990557/
35184372088832, -15990557/35184372088832]]]], [[2, 15, 6, 5, 4], [v = -2^(1/2)
, And(-v < u,u < 3^(1/2)), x = u^2-3, And(0 < y,y < 2*u^2-4), z = (y-u^2+3)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [-1101541/2097152, -275385/524288], [995611/2097152, 995611/
2097152], [1048575/1048576, 1]]]], [[2, 15, 6, 5, 5], [v = -2^(1/2), And(-v <
u,u < 3^(1/2)), x = u^2-3, And(0 < y,y < 2*u^2-4), (y-u^2+3)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-1101541/2097152, -275385/524288], [995611/2097152, 995611/2097152]
, [2, 2]]]], [[2, 19, 7, 7, 1], [v = -2^(1/2), 2 < u, And(0 < x,x < 1), And(x
< y,y < u^2+x-1), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [1/2, 1/2], [9/2, 9/2], [-3, -3]]]], [[2, 19, 7, 7, 2]
, [v = -2^(1/2), 2 < u, And(0 < x,x < 1), And(x < y,y < u^2+x-1), z = -(y-x)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [1/2, 1/2]
, [9/2, 9/2], [-2, -2]]]], [[2, 19, 7, 7, 3], [v = -2^(1/2), 2 < u, And(0 < x,
x < 1), And(x < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [1/2, 1/2], [9/2,
9/2], [0, 0]]]], [[2, 19, 7, 7, 4], [v = -2^(1/2), 2 < u, And(0 < x,x < 1), 
And(x < y,y < u^2+x-1), z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [3, 3], [1/2, 1/2], [9/2, 9/2], [2, 2]]]], [[2, 19, 7, 7, 5],
[v = -2^(1/2), 2 < u, And(0 < x,x < 1), And(x < y,y < u^2+x-1), (y-x)^(1/2) <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [1/2, 1/2], [
9/2, 9/2], [3, 3]]]], [[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 = x, z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [
494331/131072, 3954649/1048576], [-1, -1]]]], [[3, 1, 9, 6, 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], [494331/131072, 3954649/1048576], [0, 0]]]], [[3, 1
, 9, 6, 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], [494331/131072, 3954649/1048576],
[1, 1]]]], [[3, 7, 11, 7, 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-u^2+v^2+1), z < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [3, 3], [-2, -2]]]], [[3, 7, 11, 7, 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
-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [3, 3], [-1, -1]]]], [
[3, 7, 11, 7, 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-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304,
-3949363/4194304], [2, 2], [3, 3], [0, 0]]]], [[3, 7, 11, 7, 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-u
^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [3, 3], [1, 1]]]], [[3
, 7, 11, 7, 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-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [2,
2], [3, 3], [2, 2]]]], [[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 < -(-u^2+v^2+1)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [0, 0], [
1288231/524288, 2576463/1048576], [-3, -3]]]], [[3, 9, 6, 6, 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], [1288231/524288, 2576463/1048576], [-410915/262144, -\
3287319/2097152]]]], [[3, 9, 6, 6, 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], [1288231/524288, 2576463/1048576], [-1/4194304, -1/
4194304]]]], [[3, 9, 6, 6, 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], [1288231
/524288, 2576463/1048576], [1643659/1048576, 410915/262144]]]], [[3, 9, 6, 6,
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], [1288231/524288, 2576463/1048576], [3, 3]
]]], [[3, 17, 7, 3, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(0 <
x,x < 1), And(x-u^2+v^2+1 < y,y < 0), z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [1/2, 1/2], [-6336433/2097152, -6336433/
2097152], [0, 0]]]], [[4, 1, 9, 2, 1], [v = -1, u < -3^(1/2), And(1 < x,x < u^
2-2), y = x-u^2+2, z = z], [regular_chain, [[-1, -1], [-3, -3], [4, 4], [-3, -\
3], [0, 0]]]], [[4, 7, 11, 1, 1], [v = -1, And(-1 < u,u < 0), 1 < x, y < 0, z
= z], [regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2], [-1, -1], [0, 0]]]], [[
4, 9, 5, 9, 1], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), x-u^2+2 < y,
z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [3, 3]
, [-3, -3]]]], [[4, 9, 5, 9, 2], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^
2), x-u^2+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-5
/8, -5/8], [3, 3], [-7985717/4194304, -15971433/8388608]]]], [[4, 9, 5, 9, 3],
[v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), x-u^2+2 < y, And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [3
, 3], [-1/16777216, -1/16777216]]]], [[4, 9, 5, 9, 4], [v = -1, And(0 < u,u <
1), And(-1 < x,x < -u^2), x-u^2+2 < y, z = (y-x)^(1/2)], [regular_chain, [[-1,
-1], [1/2, 1/2], [-5/8, -5/8], [3, 3], [1996429/1048576, 998215/524288]]]], [[
4, 9, 5, 9, 5], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), x-u^2+2 < y,
(y-x)^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [3, 3],
[3, 3]]]], [[4, 13, 10, 9, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, u
^2+1 < y, z < -(y-1)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 
3299097/2097152], [1, 1], [5, 5], [-3, -3]]]], [[4, 13, 10, 9, 2], [v = -1, 
And(2^(1/2) < u,u < 3^(1/2)), x = 1, u^2+1 < y, z = -(y-1)^(1/2)], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [1, 1], [5, 5],
[-2, -2]]]], [[4, 13, 10, 9, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 1,
u^2+1 < y, 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, 9,
4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, u^2+1 < y, z = (y-1)^(1/2)],
[regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [1, 1], [5, 5],
[2, 2]]]], [[4, 13, 10, 9, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, u
^2+1 < y, (y-1)^(1/2) < z], [regular_chain, [[-1, -1], [3299097/2097152, 
3299097/2097152], [1, 1], [5, 5], [3, 3]]]], [[4, 15, 4, 1, 1], [v = -1, 3^(1/
2) < u, x = -1, y < -u^2+1, z = z], [regular_chain, [[-1, -1], [3, 3], [-1, -1
], [-9, -9], [0, 0]]]], [[5, 5, 11, 2, 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, 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-u^2+v^2+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, 8, 2], [And(-1 < v,v < 0), And(v < u,u < -
v), And(-u^2+v^2-1 < x,x < 0), y = x-u^2+v^2+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, 8, 3], [And(-1 < v,v < 0), And(v < u,
u < -v), And(-u^2+v^2-1 < x,x < 0), y = x-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], [-3/8, -3/8
], [7/8, 7/8], [0, 0]]]], [[5, 7, 7, 8, 4], [And(-1 < v,v < 0), And(v < u,u <
-v), And(-u^2+v^2-1 < x,x < 0), y = x-u^2+v^2+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, 8, 5], [And(-1 < v,v < 0), And(v < u,u
< -v), And(-u^2+v^2-1 < x,x < 0), y = x-u^2+v^2+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, 2, 5, 1], [And(-1 < v,v < 0), u = -v, x = -1, 0 < y, z < -(y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1, -1], [1, 1], [-3, -3]]]], [[5,
8, 2, 5, 2], [And(-1 < v,v < 0), u = -v, x = -1, 0 < y, z = -(y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1, -1], [1, 1], [-1482911/1048576,
-741455/524288]]]], [[5, 8, 2, 5, 3], [And(-1 < v,v < 0), u = -v, x = -1, 0 <
y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [1/2
, 1/2], [-1, -1], [1, 1], [0, 0]]]], [[5, 8, 2, 5, 4], [And(-1 < v,v < 0), u =
-v, x = -1, 0 < y, z = (y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2]
, [-1, -1], [1, 1], [741455/524288, 1482911/1048576]]]], [[5, 8, 2, 5, 5], [
And(-1 < v,v < 0), u = -v, x = -1, 0 < y, (y+1)^(1/2) < z], [regular_chain, [[
-1/2, -1/2], [1/2, 1/2], [-1, -1], [1, 1], [3, 3]]]], [[5, 9, 10, 2, 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, 6, 1, 1], [v = 0, u = -2^(1/2), x = 0, y < -1, z = z],
[regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [0, 0], [-2, -2],
[0, 0]]]], [[6, 3, 10, 4, 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], [569265/1048576, 284633/524288], [0, 0]]]], [[6, 8, 5, 1, 1], [v = 0, u
= 1, And(-1 < x,x < 0), y < x, z = z], [regular_chain, [[0, 0], [1, 1], [-1/2,
-1/2], [-2, -2], [0, 0]]]], [[6, 9, 10, 3, 1], [v = 0, And(1 < u,u < 2^(1/2)),
x = 1, And(0 < y,y < -u^2+2), z = z], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [1, 1], [569265/2097152, 569265/2097152], [0, 0]]]]
, [[7, 4, 5, 3, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0),
And(x < y,y < 0), z < -(y-x)^(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,
3, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(x < y,y <
0), z = -(y-x)^(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, 3, 3], [And(
0 < v,v < 1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), And(-(y
-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [
And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z =
(y-x)^(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, 3, 5], [And(0 < v,v < 1)
, u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-1/2, -1/2],
[-1/4, -1/4], [2, 2]]]], [[7, 5, 10, 5, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1
/2) < u,u < -v), x = 1, And(1 < y,y < -u^2+v^2+2), z < -(y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [
1360785/1048576, 1360785/1048576], [-2, -2]]]], [[7, 5, 10, 5, 2], [And(0 < v,
v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, And(1 < y,y < -u^2+v^2+2), z =
-(y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [1, 1], [1360785/1048576, 1360785/1048576], [-572167/1048576, -\
1144333/2097152]]]], [[7, 5, 10, 5, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2)
< u,u < -v), x = 1, And(1 < 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], [1360785/1048576, 1360785/1048576], [-1/4194304, -1/4194304]]]], [[7, 5,
10, 5, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, And(1 < y
,y < -u^2+v^2+2), z = (y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [1, 1], [1360785/1048576, 1360785/1048576], [
286083/524288, 572167/1048576]]]], [[7, 5, 10, 5, 5], [And(0 < v,v < 1), And(-
(v^2+1)^(1/2) < u,u < -v), x = 1, And(1 < y,y < -u^2+v^2+2), (y-1)^(1/2) < z],
[regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [
1360785/1048576, 1360785/1048576], [2, 2]]]], [[8, 1, 1, 3, 1], [v = 1, u < -3
^(1/2), x < -u^2, And(x-u^2+2 < y,y < x), z = z], [regular_chain, [[1, 1], [-3
, -3], [-10, -10], [-27/2, -27/2], [0, 0]]]], [[8, 2, 3, 8, 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,
8, 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, 8, 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, 8, 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, 8, 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, 8, 6, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 8, 1], [v = 1, And(0 < u,u < 1), 1 < x, y = x-u^2+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, 8, 2], [v = 1, And(0 < u,u < 1), 1 < x, y = x-u^2+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, 8, 3], [v = 1, And(0 < u,u < 1), 1 < x, y =
x-u^2+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, 8, 4], [v = 1, And(
0 < u,u < 1), 1 < x, y = x-u^2+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, 8, 5], [v = 1, And(0 < u,u < 1), 1 < x, y = x-u^2+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,
4, 9, 1], [v = 1, u = 3^(1/2), x = -1, 2 < y, z < -(y+1)^(1/2)], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1, -1], [3, 3], [-\
3, -3]]]], [[8, 14, 4, 9, 2], [v = 1, u = 3^(1/2), x = -1, 2 < y, z = -(y+1)^(
1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1, -1], [3
, 3], [-2, -2]]]], [[8, 14, 4, 9, 3], [v = 1, u = 3^(1/2), x = -1, 2 < y, And(
-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1, 1], [908093/524288, 
1816187/1048576], [-1, -1], [3, 3], [0, 0]]]], [[8, 14, 4, 9, 4], [v = 1, u =
3^(1/2), x = -1, 2 < y, z = (y+1)^(1/2)], [regular_chain, [[1, 1], [908093/
524288, 1816187/1048576], [-1, -1], [3, 3], [2, 2]]]], [[8, 14, 4, 9, 5], [v =
1, u = 3^(1/2), x = -1, 2 < y, (y+1)^(1/2) < z], [regular_chain, [[1, 1], [
908093/524288, 1816187/1048576], [-1, -1], [3, 3], [3, 3]]]], [[8, 15, 9, 5, 1
], [v = 1, 3^(1/2) < u, And(1 < x,x < u^2-2), And(0 < y,y < x), 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, 2 < y, z < -(y-1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [1, 1], [3, 3], [-3, -3]]]], [[9, 6, 6, 7, 2], [And(1 < v,v
< 2^(1/2)), u = -v, x = 1, 2 < y, 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, 7, 3], [And(1 < v,v < 2^
(1/2)), u = -v, x = 1, 2 < y, 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, 7, 4], [And(1 < v,v <
2^(1/2)), u = -v, x = 1, 2 < y, 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, 7, 5], [And(1 < v,v < 2^(1/
2)), u = -v, x = 1, 2 < y, (y-1)^(1/2) < z], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [3, 3], [3,
3]]]], [[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, 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, 2, 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, 2, 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, 9, 3,
1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), 1 < x, And(0 < y,y < x), z =
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [2, 2], [1, 1], [0, 0]]]], [[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+2), z < -(y-x)
^(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, 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
+2), z = -(y-x)^(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, 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+2), And(-(y-x)^(1/2) < z,z < (y-x)^(
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, 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+2),
z = (y-x)^(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, 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+2), (y-x)^(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, 3, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1
/2), x = 0, And(-1 < y,y < 0), z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [121853/65536, 1949649/1048576], [0, 0], [-1/2, -1/2], [0, 0
]]]], [[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 < 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3,
3], [8, 8], [-1, -1], [0, 0]]]], [[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+1, 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, 6, 2], [v = 2^(1/2), u = -v, And(-1 < x,x <
0), y = x+1, 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, 6, 3], [v = 2^(1/2), u = -v, And(-1 < x,x < 0), y = x+1, 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, 6, 4], [v = 2
^(1/2), u = -v, And(-1 < x,x < 0), y = x+1, 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, 6, 5], [v = 2^(1/2), u = -v, And(-1 < x,x < 0
), y = x+1, 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, 5, 1], [v = 2^(1/2), u = 1, And(-1 < x,x < 0), And(0 < y,y < x+2), z <
-(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1/
2, -1/2], [3/4, 3/4], [-3, -3]]]], [[10, 12, 5, 5, 2], [v = 2^(1/2), u = 1, 
And(-1 < x,x < 0), And(0 < y,y < x+2), z = -(y-x)^(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, 5, 3], [v = 2^(1/2), u = 1, And(-1
< x,x < 0), And(0 < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1/2, -1/2], [3/4,
3/4], [0, 0]]]], [[10, 12, 5, 5, 4], [v = 2^(1/2), u = 1, And(-1 < x,x < 0), 
And(0 < y,y < x+2), z = (y-x)^(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, 5, 5], [v = 2^(1/2), u = 1, And(-1 < x,x < 0), And(0 < y,y <
x+2), (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1,
1], [-1/2, -1/2], [3/4, 3/4], [3, 3]]]], [[10, 13, 11, 2, 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, 7, 2, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(0 < x,x < 1), y =
x-1, z = z], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [1/
2, 1/2], [-1/2, -1/2], [0, 0]]]], [[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(x < y,y < u^2-v^2+x+1), z < -(y-x
)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [2, 2
], [1702375/524288, 1702375/524288], [-3, -3]]]], [[11, 3, 11, 7, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [2, 2], [1702375/524288, 1702375/524288], [-1170947/1048576, -585473
/524288]]]], [[11, 3, 11, 7, 3], [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), And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [2, 2
], [1702375/524288, 1702375/524288], [0, 0]]]], [[11, 3, 11, 7, 4], [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 = (y-x)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [2, 2], [1702375/524288, 1702375/524288], [585473/524288, 1170947/
1048576]]]], [[11, 3, 11, 7, 5], [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), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [2, 2], [1702375
/524288, 1702375/524288], [3, 3]]]], [[11, 10, 3, 9, 1], [2^(1/2) < v, u = -(v
^2-2)^(1/2), And(-3 < x,x < -1), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [
[3, 3], [-5548543/2097152, -2774271/1048576], [-2, -2], [2, 2], [-3, -3]]]], [
[11, 10, 3, 9, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-3 < x,x < -1), x+3 <
y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [-2, -2], [2, 2], [-2, -2]]]], [[11, 10, 3, 9, 3], [2^(1/2) < v, u =
-(v^2-2)^(1/2), And(-3 < x,x < -1), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1
/2))], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-2, -2]
, [2, 2], [0, 0]]]], [[11, 10, 3, 9, 4], [2^(1/2) < v, u = -(v^2-2)^(1/2), And
(-3 < x,x < -1), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-5548543
/2097152, -2774271/1048576], [-2, -2], [2, 2], [2, 2]]]], [[11, 10, 3, 9, 5],
[2^(1/2) < v, u = -(v^2-2)^(1/2), And(-3 < x,x < -1), x+3 < y, (y-x)^(1/2) < z
], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-2, -2], [2
, 2], [3, 3]]]], [[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(0 < y,y < 1), 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(x < y,y < u^2-v^2+x+1), z < -(y-x)^
(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1/2, 1/2
], [1565147/2097152, 1565147/2097152], [-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(x < y,y < u^2-v^2+
x+1), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [1/2, 1/2], [1565147/2097152, 1565147/2097152], [-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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1/
2, 1/2], [1565147/2097152, 1565147/2097152], [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(x < y,y < u^2-
v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549
/2097152], [1/2, 1/2], [1565147/2097152, 1565147/2097152], [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(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [
1565147/2097152, 1565147/2097152], [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(0 < y,y < u^2-v^2+x+1), z < -(y-x)
^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-9, -9], [4, 4], [-5, -5]]]], [
[1, 1, 3, 7, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1)
, And(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
5, -5], [-9, -9], [4, 4], [-3780695/1048576, -7561389/2097152]]]], [[1, 1, 3,
7, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(0 <
y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
-3, -3], [-5, -5], [-9, -9], [4, 4], [-1/4194304, -1/4194304]]]], [[1, 1, 3, 7
, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(0 < y
,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-9,
-9], [4, 4], [1890347/524288, 3780695/1048576]]]], [[1, 1, 3, 7, 5], [v < -2^(
1/2), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2+x+
1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5], [-9, -9], [4, 4], [
5, 5]]]], [[1, 2, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 3, 1], [v < -2^
(1/2), u = -(v^2-1)^(1/2), 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[
-3, -3], [-2965821/1048576, -11863283/4194304], [2, 2], [1, 1], [0, 0]]]], [[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 < -2, z = z], [regular_chain, [[-3
, -3], [741455/262144, 2965821/1048576], [-2, -2], [-3, -3], [0, 0]]]], [[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-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [3, 3],
[-3, -3]]]], [[1, 15, 7, 9, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
And(-u^2+v^2-1 < x,x < 0), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain,
[[-3, -3], [6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/
2097152], [3, 3], [-1889277/1048576, -7557107/4194304]]]], [[1, 15, 7, 9, 3],
[v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), x-u^2
+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3],
[6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [3, 3]
, [-3/8388608, -3/8388608]]]], [[1, 15, 7, 9, 4], [v < -2^(1/2), And((v^2-1)^(
1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), x-u^2+v^2+1 < y, z = (y-x)^(1/2)]
, [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-516571/
2097152, -516571/2097152], [3, 3], [472319/262144, 1889277/1048576]]]], [[1, 
15, 7, 9, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x
,x < 0), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [3, 3],
[3, 3]]]], [[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 = x, z < 0], [regular_chain, [[-3, -3], [5, 5], [8, 8], [8, 8],
[-1, -1]]]], [[1, 21, 9, 6, 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, 6, 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, 7, 1], [v = -2^(1/2), u < -2, u^2-3 < x, And(x < y,y
< u^2+x-1), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [7, 7], [11, 11], [-3, -3]]]], [[2, 1, 11, 7, 2], [v = -2^(
1/2), u < -2, u^2-3 < x, And(x < y,y < u^2+x-1), z = -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [7, 7], [11, 11]
, [-2, -2]]]], [[2, 1, 11, 7, 3], [v = -2^(1/2), u < -2, u^2-3 < x, And(x < y,
y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [7, 7], [11, 11], [0, 0]]]], [[2,
1, 11, 7, 4], [v = -2^(1/2), u < -2, u^2-3 < x, And(x < y,y < u^2+x-1), z = (y
-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [7,
7], [11, 11], [2, 2]]]], [[2, 1, 11, 7, 5], [v = -2^(1/2), u < -2, u^2-3 < x,
And(x < y,y < u^2+x-1), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [-3, -3], [7, 7], [11, 11], [3, 3]]]], [[2, 10, 1, 3, 1], [v
= -2^(1/2), u = 0, x < -3, And(x-1 < y,y < x), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-4, -4], [-9/2, -9/2], [0, 0]]]], [
[2, 11, 5, 4, 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, 4, 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
, 4, 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, 3, 1], [v = -2^(1/2), And(3^(1/2) < u,u <
2), And(u^2-3 < x,x < 1), And(0 < y,y < x-u^2+3), 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, 2, 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, 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 = 1, z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [1, 1], [1
, 1], [-1, -1]]]], [[3, 3, 10, 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, 10, 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, 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(x-u^2+v^2+1 < y,y < 0),
z < -(y-x)^(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(x-u
^2+v^2+1 < y,y < 0), z = -(y-x)^(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(x-u^2+v^2+1 < y,y < 0), And(
-(y-x)^(1/2) < z,z < (y-x)^(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(x-u^2+v^2+1 < y,y < 0), z = (y-x)^(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(x-u^2+v^2+1 < y,y < 0), (y-x)^(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 = 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, 4, 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, 4, 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, 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 = 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], [735353/1048576, 
367677/524288], [-3, -3]]]], [[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 = 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], [
735353/1048576, 367677/524288], [-1270261/1048576, -317565/262144]]]], [[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 = u^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], [735353/
1048576, 367677/524288], [0, 0]]]], [[3, 13, 5, 8, 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], [
735353/1048576, 367677/524288], [317565/262144, 1270261/1048576]]]], [[3, 13,
5, 8, 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], [735353/1048576, 367677/524288], [3, 3]]]]
, [[3, 13, 11, 4, 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,
4, 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, 4, 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, 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 = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [0, 0], [-501965/2097152, -501965/2097152], [0,
0]]]], [[4, 3, 11, 8, 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], [2346055/524288, 4692111/1048576], [-3, -3]]]], [[4, 3, 11, 8, 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], [
2346055/524288, 4692111/1048576], [-1649549/1048576, -3299097/2097152]]]], [[4
, 3, 11, 8, 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], [2346055/524288, 4692111/1048576], [-1/4194304, -1/4194304]]
]], [[4, 3, 11, 8, 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], [2346055/524288, 4692111/1048576], [412387/262144, 1649549/1048576]]]]
, [[4, 3, 11, 8, 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], [2346055/524288, 4692111/1048576], [3, 3]]]], [[4, 5, 6, 7, 1], [v = -1,
And(-2^(1/2) < u,u < -1), x = u^2-2, 2*u^2-2 < y, z < -(y-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1138531/
2097152, -569265/1048576], [2, 2], [-3, -3]]]], [[4, 5, 6, 7, 2], [v = -1, And
(-2^(1/2) < u,u < -1), x = u^2-2, 2*u^2-2 < y, z = -(y-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1138531/
2097152, -569265/1048576], [2, 2], [-1672107/1048576, -3344213/2097152]]]], [[
4, 5, 6, 7, 3], [v = -1, And(-2^(1/2) < u,u < -1), x = u^2-2, 2*u^2-2 < y, And
(-(y-u^2+2)^(1/2) < z,z < (y-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-1138531/2097152, -569265/1048576], [2, 2
], [-1/4194304, -1/4194304]]]], [[4, 5, 6, 7, 4], [v = -1, And(-2^(1/2) < u,u
< -1), x = u^2-2, 2*u^2-2 < y, z = (y-u^2+2)^(1/2)], [regular_chain, [[-1, -1]
, [-1265743/1048576, -1265743/1048576], [-1138531/2097152, -569265/1048576], [
2, 2], [836053/524288, 1672107/1048576]]]], [[4, 5, 6, 7, 5], [v = -1, And(-2^
(1/2) < u,u < -1), x = u^2-2, 2*u^2-2 < y, (y-u^2+2)^(1/2) < z], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1138531/
2097152, -569265/1048576], [2, 2], [3, 3]]]], [[4, 9, 11, 5, 1], [v = -1, And(
0 < u,u < 1), 1 < x, And(x < y,y < u^2+x), z < -(y-x)^(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(x < y,y < u^2+x), z = -(y-x)^(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(x
< y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2+x), z = (y-x)^(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(x <
y,y < u^2+x), (y-x)^(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 = 0, z < 0], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [0, 0], [0, 0], [-1, -1]]]], [[4, 11, 8, 2, 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, 2, 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, 4, 5, 1], [And(-\
1 < v,v < 0), u = -(v^2+2)^(1/2), x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1
< y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1
)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1
< y,y < 0), (y+1)^(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 = 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], [767309/262144, 3069237/1048576], [-3, -3]]
]], [[5, 3, 8, 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 = 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], [767309/262144, 3069237/1048576], [-3291611/2097152, -\
1645805/1048576]]]], [[5, 3, 8, 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 = 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], [767309/262144, 3069237/
1048576], [0, 0]]]], [[5, 3, 8, 6, 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], [767309/262144, 3069237/1048576], [1645805/1048576, 
822903/524288]]]], [[5, 3, 8, 6, 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], [767309/262144, 3069237/1048576], [3, 3]]]], [[5, 12,
1, 5, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x < -3, And(x < y,y < x+3), z
< -(y-x)^(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 < y,y < x+3), z = -(y-x)^(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 < y,y < x+3
), And(-(y-x)^(1/2) < z,z < (y-x)^(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 < y,y < x+3), z = (y-x)^(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 < y,y < x+3), (y-x)^(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 = 0, z < -(-x)^(1/2)],
[regular_chain, [[-1/2, -1/2], [3, 3], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[5,
13, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 2, 2, 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, 2, 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, 2,
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, 9, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 10, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 1, 7, 1], [And(0 < v,v < 1), u = -(v^
2+2)^(1/2), x < -3, And(x+3 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[1
/2, 1/2], [-3/2, -3/2], [-4, -4], [-1/2, -1/2], [-3, -3]]]], [[7, 2, 1, 7, 2],
[And(0 < v,v < 1), u = -(v^2+2)^(1/2), x < -3, And(x+3 < y,y < 0), z = -(y-x)^
(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, 7, 3], [And(0 < v,v < 1), u =
-(v^2+2)^(1/2), x < -3, And(x+3 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/
2))], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-4, -4], [-1/2, -1/2], [0, 0
]]]], [[7, 2, 1, 7, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x < -3, And(x+3
< y,y < 0), z = (y-x)^(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, 7, 5], [And
(0 < v,v < 1), u = -(v^2+2)^(1/2), x < -3, And(x+3 < y,y < 0), (y-x)^(1/2) < z
], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-4, -4], [-1/2, -1/2], [3, 3]]]
], [[7, 8, 4, 5, 1], [And(0 < v,v < 1), u = v, x = 0, 1 < y, z < -y^(1/2)], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [2, 2], [-3, -3]]]], [[7, 8, 4
, 5, 2], [And(0 < v,v < 1), u = v, x = 0, 1 < y, 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, 5, 3], [And(0 < v,v < 1), u = v, x = 0, 1 < y, 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, 5, 4], [And(0 < v,v < 1), u = v, x = 0, 1 < y, 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, 5, 5], [And(0 < v,v < 1), u = v, x = 0, 1 < y,
y^(1/2) < z], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [2, 2], [3, 3]]
]], [[7, 9, 11, 5, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x,
And(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [2, 2], [2409361/1048576, 2409361/1048576],
[-2, -2]]]], [[7, 9, 11, 5, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)
), 1 < x, And(x < y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[1/2
, 1/2], [1696631/2097152, 1696631/2097152], [2, 2], [2409361/1048576, 2409361/
1048576], [-572167/1048576, -1144333/2097152]]]], [[7, 9, 11, 5, 3], [And(0 <
v,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(x < y,y < x-u^2+v^2+1), And
(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [2, 2], [2409361/1048576, 2409361/1048576], [-1/
4194304, -1/4194304]]]], [[7, 9, 11, 5, 4], [And(0 < v,v < 1), And(v < u,u < (
v^2+1)^(1/2)), 1 < x, And(x < y,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [2, 2], [
2409361/1048576, 2409361/1048576], [286083/524288, 572167/1048576]]]], [[7, 9,
11, 5, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(x < y,y
< x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [2, 2], [2409361/1048576, 2409361/1048576], [2, 2]]
]], [[7, 10, 7, 2, 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, 2, 1], [And(0 < v,v < 1), u = (v^2+
2)^(1/2), x < -3, y = x-1, z = z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-\
4, -4], [-5, -5], [0, 0]]]], [[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 = x+1, 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 = x+1, 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 = x+1, 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 = x+1, 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 = x+1, 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(0 < y,y < x), z = z]
, [regular_chain, [[1, 1], [1, 1], [2, 2], [1, 1], [0, 0]]]], [[8, 12, 3, 5, 1
], [v = 1, u = 2^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2), z < -(y-x)^(1/
2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3/2, -3/2],
[1/4, 1/4], [-3, -3]]]], [[8, 12, 3, 5, 2], [v = 1, u = 2^(1/2), And(-2 < x,x
< -1), And(0 < y,y < x+2), z = -(y-x)^(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, 5, 3], [v = 1, u = 2^(1/2), And(-2 < x,x < -1), And(0
< y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1],
[741455/524288, 1482911/1048576], [-3/2, -3/2], [1/4, 1/4], [0, 0]]]], [[8, 12
, 3, 5, 4], [v = 1, u = 2^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2), z = (
y-x)^(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, 5, 5], [v = 1
, u = 2^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2), (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [1/4,
1/4], [3, 3]]]], [[9, 2, 9, 7, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2)
, 1 < x, And(x < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [2, 2], [7/2,
7/2], [-3, -3]]]], [[9, 2, 9, 7, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/
2), 1 < x, And(x < y,y < x+3), z = -(y-x)^(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, 7, 3], [And(1 < v,v <
2^(1/2)), u = -(v^2+2)^(1/2), 1 < x, And(x < y,y < x+3), And(-(y-x)^(1/2) < z,
z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [2, 2], [7/2, 7/2], [0, 0]]]], [[9, 2, 9,
7, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), 1 < x, And(x < y,y < x+3),
z = (y-x)^(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, 7, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(
1/2), 1 < x, And(x < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [2, 2], [7/2,
7/2], [3, 3]]]], [[9, 4, 3, 7, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2)
, And(-2 < x,x < -1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2], [
2, 2], [-3, -3]]]], [[9, 4, 3, 7, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1
/2), And(-2 < x,x < -1), x+2 < y, z = -(y-x)^(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, 7, 3], [And(1 < v,v
< 2^(1/2)), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y, And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
410915/262144, -3287319/2097152], [-3/2, -3/2], [2, 2], [0, 0]]]], [[9, 4, 3,
7, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), x+2 <
y, z = (y-x)^(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, 7, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(
1/2), And(-2 < x,x < -1), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2],
[2, 2], [3, 3]]]], [[9, 12, 6, 5, 1], [And(1 < v,v < 2^(1/2)), u = v, x = 1, 
And(1 < y,y < 2), 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, 5, 2], [And(1 < v,v < 2^(1/2)), u = v, x = 1, And(1 < y,y
< 2), 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, 5, 3], [And(1 < v,v < 2^(1/2)), u = v, x = 1,
And(1 < y,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],
[3/2, 3/2], [0, 0]]]], [[9, 12, 6, 5, 4], [And(1 < v,v < 2^(1/2)), u = v, x =
1, And(1 < y,y < 2), 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, 5, 5], [And(1 < v,v < 2^(1/2)), u
= v, x = 1, And(1 < y,y < 2), (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, 2, 5, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2),
x = -2, 0 < y, z < -(y+2)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1643659/1048576, 410915/262144], [-2, -2], [1, 1], [-3, -3]]]], [[9
, 14, 2, 5, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -2, 0 < y, z =
-(y+2)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/
1048576, 410915/262144], [-2, -2], [1, 1], [-1816187/1048576, -3632373/2097152
]]]], [[9, 14, 2, 5, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -2, 0
< y, And(-(y+2)^(1/2) < z,z < (y+2)^(1/2))], [regular_chain, [[1265743/1048576
, 1265743/1048576], [1643659/1048576, 410915/262144], [-2, -2], [1, 1], [-1/
4194304, -1/4194304]]]], [[9, 14, 2, 5, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+
1)^(1/2), x = -2, 0 < y, z = (y+2)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [1643659/1048576, 410915/262144], [-2, -2], [1, 1], [908093/
524288, 1816187/1048576]]]], [[9, 14, 2, 5, 5], [And(1 < v,v < 2^(1/2)), u = (
v^2+1)^(1/2), x = -2, 0 < y, (y+2)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-2, -2], [1, 1],
[3, 3]]]], [[10, 2, 9, 2, 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, 2, 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, 2, 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, 2, 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, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 < -(y+1)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [908093/524288, 1816187/1048576], [-1, -1], [1/2, 1/2], [-3,
-3]]]], [[10, 16, 4, 5, 2], [v = 2^(1/2), u = 3^(1/2), x = -1, And(0 < y,y < 1
), z = -(y+1)^(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, 5, 3], [v = 2^(1/2), u = 3^(1/2), x = -1, And(
0 < 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], [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 = (y+1)^(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, 5, 5], [v = 2^(1/2), u = 3^(1/2), x = -1, 
And(0 < y,y < 1), (y+1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [908093/524288, 1816187/1048576], [-1, -1], [1/2, 1/2], [3, 3]]]], [
[10, 17, 10, 4, 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], [135777/262144, 543109/1048576], [0, 0]]]], [[10, 18
, 4, 3, 1], [v = 2^(1/2), u = 2, x = -1, And(-2 < y,y < -1), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1, -1], [-3/2, -3/
2], [0, 0]]]], [[10, 19, 8, 8, 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, 8, 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, 8
, 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, 8, 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, 8, 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, 6, 1, 1], [2^(1/2) < v, u = -v, x = 1, y < 0, z = z], [
regular_chain, [[3, 3], [-3, -3], [1, 1], [-1, -1], [0, 0]]]], [[11, 8, 2, 1,
1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -2, y < -2, z = z], [regular_chain,
[[3, 3], [-2965821/1048576, -11863283/4194304], [-2, -2], [-3, -3], [0, 0]]]],
[[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 = z], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [133259/524288, 
133259/524288], [-266519/1048576, -133259/524288], [0, 0]]]], [[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 = 1, z <
0], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [1, 1], [1, 1
], [-1, -1]]]], [[11, 19, 10, 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, 10, 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, 4, 2, 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, 8, 1, 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], [-1, -1],
[0, 0]]]], [[1, 6, 1, 4, 1], [v < -2^(1/2), u = v, x < -1, y = x+1, 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 = x+1, 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 = x+1, 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 = x+1, 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 = x+1, 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-1 < y,y <
x), z = z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-2, -2]
, [-5/2, -5/2], [0, 0]]]], [[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 = 0, z = z], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [133259/524288, 
133259/524288], [0, 0], [0, 0]]]], [[1, 18, 1, 2, 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, 2, 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, 2,
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, 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(x-u^2+v^2+1 < 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, 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(0 < y,y < x-u^2+3), z <
-(y-x)^(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(0 < y,y < x-u^2+3), z = -(y-x)^(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(0 < y,y < x-u^2+3), And(-
(y-x)^(1/2) < z,z < (y-x)^(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(0 <
y,y < x-u^2+3), z = (y-x)^(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(0 < y,y < x-u^2+3), (y-x)^(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 = -1, z < 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-1, -1], [-1, -\
1], [-1, -1]]]], [[2, 6, 2, 2, 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, 2, 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, 9, 8, 1], [v = -2^(1/2), And(v < u,u < -1), And(0 < x,x < 1), y = x-u^2+
3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1265743/1048576, -1265743/1048576], [1/2, 1/2], [2142129/1048576, 1071065/
524288], [-3, -3]]]], [[2, 7, 9, 8, 2], [v = -2^(1/2), And(v < u,u < -1), And(
0 < x,x < 1), y = x-u^2+3, z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [
2142129/1048576, 1071065/524288], [-1302471/1048576, -651235/524288]]]], [[2,
7, 9, 8, 3], [v = -2^(1/2), And(v < u,u < -1), And(0 < x,x < 1), y = x-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], [1/2, 1/2], [
2142129/1048576, 1071065/524288], [0, 0]]]], [[2, 7, 9, 8, 4], [v = -2^(1/2),
And(v < u,u < -1), And(0 < x,x < 1), y = x-u^2+3, z = (-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [1/2, 1/2], [2142129/1048576, 1071065/524288], [651235/
524288, 1302471/1048576]]]], [[2, 7, 9, 8, 5], [v = -2^(1/2), And(v < u,u < -1
), And(0 < x,x < 1), y = x-u^2+3, (-u^2+3)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1/2,
1/2], [2142129/1048576, 1071065/524288], [3, 3]]]], [[2, 13, 9, 9, 1], [v = -2
^(1/2), And(1 < u,u < -v), And(0 < x,x < 1), x-u^2+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [4, 4], [-3, -3]]]], [[2, 13, 9, 9, 2], [v = -2^(1/2), 
And(1 < u,u < -v), And(0 < x,x < 1), x-u^2+3 < y, z = -(y-x)^(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, 9, 3], [v = -2^(1/2), And(1 < u,u < -v), And(0 < x,x < 1), x-u^2+3 < y, And
(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [4, 4], [0, 0]
]]], [[2, 13, 9, 9, 4], [v = -2^(1/2), And(1 < u,u < -v), And(0 < x,x < 1), x-
u^2+3 < y, z = (y-x)^(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, 9, 5], [v = -2^(1/2), And(1 < u,u < -
v), And(0 < x,x < 1), x-u^2+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [1/2, 1/
2], [4, 4], [3, 3]]]], [[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-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, 8, 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, 8, 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, 8, 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, 8, 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, 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(x < y,
y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [8433585/
1048576, 8433585/1048576], [-4, -4]]]], [[3, 1, 9, 7, 2], [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 < u^2-v^2+x+1
), z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-3, -3], [7909297/2097152, 7909297/2097152], [8433585/1048576, 8433585/1048576
], [-2167143/1048576, -1083571/524288]]]], [[3, 1, 9, 7, 3], [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 < u^2-v^2+
x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [
8433585/1048576, 8433585/1048576], [0, 0]]]], [[3, 1, 9, 7, 4], [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 < u^2-v
^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [8433585/1048576, 
8433585/1048576], [1083571/524288, 2167143/1048576]]]], [[3, 1, 9, 7, 5], [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 < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [8433585/
1048576, 8433585/1048576], [4, 4]]]], [[3, 7, 11, 6, 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], [1273761/524288, 2547523/1048576], [-2, -2
]]]], [[3, 7, 11, 6, 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], [1273761/524288, 2547523/1048576], [-1374407/2097152, -687203/1048576]]]],
[[3, 7, 11, 6, 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], [1273761/524288, 2547523/1048576], [0, 0]]]], [[3, 7
, 11, 6, 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], [1273761/
524288, 2547523/1048576], [687203/1048576, 171801/262144]]]], [[3, 7, 11, 6, 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], [1273761/524288, 
2547523/1048576], [2, 2]]]], [[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 < -
y^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [0, 0
], [1288231/1048576, 1288231/1048576], [-3, -3]]]], [[3, 9, 6, 5, 2], [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 = -y^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [0, 0], [1288231/1048576, 1288231/1048576], [-1162243/
1048576, -581121/524288]]]], [[3, 9, 6, 5, 3], [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), 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, 5, 4], [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 = y^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [0, 0], [1288231/1048576, 1288231/
1048576], [581121/524288, 1162243/1048576]]]], [[3, 9, 6, 5, 5], [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), y^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [0, 0], [0, 0], [1288231/1048576, 1288231/1048576], [3, 3]]]], [[3, 17, 7,
2, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y = x-u
^2+v^2+1, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3
], [1/2, 1/2], [-3168217/524288, -6336433/1048576], [0, 0]]]], [[4, 1, 9, 1, 1
], [v = -1, u < -3^(1/2), And(1 < x,x < u^2-2), y < x-u^2+2, z = z], [
regular_chain, [[-1, -1], [-3, -3], [4, 4], [-4, -4], [0, 0]]]], [[4, 7, 11, 2
, 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, 9, 6, 1, 1], [v = -1, And(0
< u,u < 1), x = -u^2, y < -u^2, z = z], [regular_chain, [[-1, -1], [1/2, 1/2],
[-1/4, -1/4], [-2, -2], [0, 0]]]], [[4, 13, 10, 8, 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], [3643533/1048576, 1821767/524288], [-3, -3
]]]], [[4, 13, 10, 8, 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], [3643533/1048576, 1821767/524288], [-3299097/2097152, -3299097/2097152]
]]], [[4, 13, 10, 8, 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], [3643533/1048576, 1821767/524288], [-1/4194304, -1/4194304]]
]], [[4, 13, 10, 8, 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], [3643533/1048576, 1821767/524288], [412387/262144, 1649549/1048576]]]], [[
4, 13, 10, 8, 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], [
3643533/1048576, 1821767/524288], [3, 3]]]], [[4, 15, 3, 9, 1], [v = -1, 3^(1/
2) < u, And(-u^2 < x,x < -1), u^2+x < y, z < -(y-x)^(1/2)], [regular_chain, [[
-1, -1], [3, 3], [-5, -5], [5, 5], [-5, -5]]]], [[4, 15, 3, 9, 2], [v = -1, 3^
(1/2) < u, And(-u^2 < x,x < -1), u^2+x < y, z = -(y-x)^(1/2)], [regular_chain,
[[-1, -1], [3, 3], [-5, -5], [5, 5], [-3315889/1048576, -207243/65536]]]], [[4
, 15, 3, 9, 3], [v = -1, 3^(1/2) < u, And(-u^2 < x,x < -1), u^2+x < y, And(-(y
-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [3, 3], [-5, -5],
[5, 5], [0, 0]]]], [[4, 15, 3, 9, 4], [v = -1, 3^(1/2) < u, And(-u^2 < x,x < -\
1), u^2+x < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-5, -5],
[5, 5], [207243/65536, 3315889/1048576]]]], [[4, 15, 3, 9, 5], [v = -1, 3^(1/2
) < u, And(-u^2 < x,x < -1), u^2+x < y, (y-x)^(1/2) < z], [regular_chain, [[-1
, -1], [3, 3], [-5, -5], [5, 5], [5, 5]]]], [[5, 5, 11, 3, 1], [And(-1 < v,v <
0), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(0 < y,y < x), z = z], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [2, 2], [1
, 1], [0, 0]]]], [[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-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [0, 0], [-3/8, -3/8], [2, 2], [-3, -3]]]], [[5, 7, 7, 9, 2], [And(
-1 < v,v < 0), And(v < u,u < -v), And(-u^2+v^2-1 < x,x < 0), x-u^2+v^2+1 < y,
z = -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [2, 2]
, [-3231929/2097152, -403991/262144]]]], [[5, 7, 7, 9, 3], [And(-1 < v,v < 0),
And(v < u,u < -v), And(-u^2+v^2-1 < x,x < 0), x-u^2+v^2+1 < y, And(-(y-x)^(1/2
) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8],
[2, 2], [0, 0]]]], [[5, 7, 7, 9, 4], [And(-1 < v,v < 0), And(v < u,u < -v), 
And(-u^2+v^2-1 < x,x < 0), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [regular_chain,
[[-1/2, -1/2], [0, 0], [-3/8, -3/8], [2, 2], [403991/262144, 1615965/1048576]]
]], [[5, 7, 7, 9, 5], [And(-1 < v,v < 0), And(v < u,u < -v), And(-u^2+v^2-1 <
x,x < 0), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0
, 0], [-3/8, -3/8], [2, 2], [3, 3]]]], [[5, 8, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 1, 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], [-1,
-1], [0, 0]]]], [[6, 2, 6, 2, 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, 3, 10, 5, 1], [v = 0, And(-2^(1/2) < u,u < -1), x = 1, And(-u^
2+2 < y,y < 1), z = z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [1, 1], [808921/1048576, 808921/1048576], [0, 0]]]], [[6, 8, 4, 7, 1
], [v = 0, u = 1, x = -1, 1 < y, z < -(y+1)^(1/2)], [regular_chain, [[0, 0], [
1, 1], [-1, -1], [2, 2], [-3, -3]]]], [[6, 8, 4, 7, 2], [v = 0, u = 1, x = -1,
1 < y, z = -(y+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-1, -1], [2, 2], [
-1816187/1048576, -3632373/2097152]]]], [[6, 8, 4, 7, 3], [v = 0, u = 1, x = -\
1, 1 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[0, 0], [1,
1], [-1, -1], [2, 2], [-1/4194304, -1/4194304]]]], [[6, 8, 4, 7, 4], [v = 0, u
= 1, x = -1, 1 < y, z = (y+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-1, -1
], [2, 2], [908093/524288, 1816187/1048576]]]], [[6, 8, 4, 7, 5], [v = 0, u =
1, x = -1, 1 < y, (y+1)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [-1, -1],
[2, 2], [3, 3]]]], [[6, 9, 10, 2, 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, 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 = -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], [836497/524288, 1672995/1048576],
[-2, -2]]]], [[7, 5, 10, 6, 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], [836497/524288, 1672995/
1048576], [-1618333/2097152, -3236665/4194304]]]], [[7, 5, 10, 6, 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], [836497/524288, 1672995/1048576],
[-1/8388608, -1/8388608]]]], [[7, 5, 10, 6, 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], [
836497/524288, 1672995/1048576], [404583/524288, 809167/1048576]]]], [[7, 5, 
10, 6, 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], [836497/524288, 1672995/1048576], [2, 2]]]], [[8,
1, 1, 4, 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, 4, 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, 4, 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, 9, 1], [v = 1, u = -3^(1/2), And(-3 < x,x < -1), x+3 < y
, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/
2097152], [-2, -2], [2, 2], [-3, -3]]]], [[8, 2, 3, 9, 2], [v = 1, u = -3^(1/2
), And(-3 < x,x < -1), x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [-2, -2], [2, 2], [-2, -2]]]], [[8, 2, 3,
9, 3], [v = 1, u = -3^(1/2), And(-3 < x,x < -1), x+3 < y, And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/
2097152], [-2, -2], [2, 2], [0, 0]]]], [[8, 2, 3, 9, 4], [v = 1, u = -3^(1/2),
And(-3 < x,x < -1), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [-2, -2], [2, 2], [2, 2]]]], [[8, 2, 3, 9,
5], [v = 1, u = -3^(1/2), And(-3 < x,x < -1), x+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-2, -2], [2, 2]
, [3, 3]]]], [[8, 8, 6, 3, 1], [v = 1, u = 0, x = 0, And(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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
(0 < y,y < 2), 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(u^2+x < y,y
< x-u^2+2), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [2, 2], [3
, 3], [-2, -2]]]], [[8, 9, 11, 7, 2], [v = 1, And(0 < u,u < 1), 1 < x, And(u^2
+x < y,y < x-u^2+2), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [
2, 2], [3, 3], [-1, -1]]]], [[8, 9, 11, 7, 3], [v = 1, And(0 < u,u < 1), 1 < x
, And(u^2+x < y,y < x-u^2+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [1/2, 1/2], [2, 2], [3, 3], [0, 0]]]], [[8, 9, 11, 7,
4], [v = 1, And(0 < u,u < 1), 1 < x, And(u^2+x < y,y < x-u^2+2), z = (y-x)^(1/
2)], [regular_chain, [[1, 1], [1/2, 1/2], [2, 2], [3, 3], [1, 1]]]], [[8, 9, 
11, 7, 5], [v = 1, And(0 < u,u < 1), 1 < x, And(u^2+x < y,y < x-u^2+2), (y-x)^
(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2], [2, 2], [3, 3], [2, 2]]]], [[
8, 14, 5, 1, 1], [v = 1, u = 3^(1/2), And(-1 < x,x < 0), y < x-1, z = z], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1/2, -1/2], [-3, -\
3], [0, 0]]]], [[8, 15, 9, 6, 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, 6, 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, 6, 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, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 1, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^
(1/2), And(-2 < x,x < -1), y < x, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1417877/2097152, -354469/524288], [-3/2, -3/2], [-3, -3],
[0, 0]]]], [[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+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, 6, 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, 6, 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, 6, 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, 6, 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,
6, 2, 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]]]], [[9, 17, 10, 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 < -(y-u^2+v^2+1)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [6860721/
1048576, 3430361/524288], [17, 17], [-5, -5]]]], [[9, 17, 10, 7, 2], [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 = -(y-u^2
+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [
6860721/1048576, 3430361/524288], [17, 17], [-847707/262144, -3390827/1048576]
]]], [[9, 17, 10, 7, 3], [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, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))],
[regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [6860721/1048576,
3430361/524288], [17, 17], [0, 0]]]], [[9, 17, 10, 7, 4], [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 = (y-u^2+v^2+1)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [6860721/
1048576, 3430361/524288], [17, 17], [3390827/1048576, 847707/262144]]]], [[9,
17, 10, 7, 5], [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, (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [6860721/1048576, 3430361/524288], [17, 17], [5, 5]]
]], [[10, 4, 9, 5, 1], [v = 2^(1/2), u = -3^(1/2), 1 < x, And(x < y,y < x+2),
z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1816187/1048576, -3632373/2097152], [2, 2], [3, 3], [-2, -2]]]], [[10, 4, 9, 5
, 2], [v = 2^(1/2), u = -3^(1/2), 1 < x, And(x < y,y < x+2), z = -(y-x)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -\
3632373/2097152], [2, 2], [3, 3], [-1, -1]]]], [[10, 4, 9, 5, 3], [v = 2^(1/2)
, u = -3^(1/2), 1 < x, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -\
3632373/2097152], [2, 2], [3, 3], [0, 0]]]], [[10, 4, 9, 5, 4], [v = 2^(1/2),
u = -3^(1/2), 1 < x, And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [2, 2],
[3, 3], [1, 1]]]], [[10, 4, 9, 5, 5], [v = 2^(1/2), u = -3^(1/2), 1 < x, And(x
< y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1816187/1048576, -3632373/2097152], [2, 2], [3, 3], [2, 2]]]], [[
10, 6, 3, 7, 1], [v = 2^(1/2), u = -v, And(-1 < x,x < 0), x+1 < y, z < -(y-x)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576,
-741455/524288], [-1/2, -1/2], [2, 2], [-3, -3]]]], [[10, 6, 3, 7, 2], [v = 2^
(1/2), u = -v, And(-1 < x,x < 0), x+1 < y, z = -(y-x)^(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, 7, 3], [v =
2^(1/2), u = -v, And(-1 < x,x < 0), x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1
/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [2, 2], [0, 0]]]], [[10, 6, 3, 7, 4], [v = 2^(1/
2), u = -v, And(-1 < x,x < 0), x+1 < y, z = (y-x)^(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, 7, 5], [v = 2^(1
/2), u = -v, And(-1 < x,x < 0), x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [-1/2, -1
/2], [2, 2], [3, 3]]]], [[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 < 0, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [
-1, -1], [0, 0]]]], [[11, 2, 7, 1, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(0
< x,x < 1), y < x-1, z = z], [regular_chain, [[3, 3], [-1738867/524288, -\
3477733/1048576], [1/2, 1/2], [-2, -2], [0, 0]]]], [[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 = x, z < 0], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [2, 2], [2, 2],
[-1, -1]]]], [[11, 3, 11, 6, 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, 6, 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, 1, 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], [-3, -3], [0, 0]]]], [[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 = 1, z < 0], [regular_chain, [[3, 3], [0, 0],
[1, 1], [1, 1], [-1, -1]]]], [[11, 11, 8, 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, 8, 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, 9, 4, 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, 4, 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, 4, 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, 3, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(u^2
-v^2-1 < y,y < 0), z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851
/131072, 403851/131072], [-531193/1048576, -1062385/2097152], [-1062385/
4194304, -1062385/4194304], [-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(u^2-v^2-1 < y,y < 0), z = -(y-u^
2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-\
531193/1048576, -1062385/2097152], [-1062385/4194304, -1062385/4194304], [-\
1055459/2097152, -527729/1048576]]]], [[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(u^2-v^2-1 < y,y < 0), And(-(y-u^2+v
^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [-531193/1048576, -1062385/2097152], [-1062385/4194304
, -1062385/4194304], [0, 0]]]], [[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(u^2-v^2-1 < y,y < 0), z = (y-u^2+v^2+1)^(
1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-531193/
1048576, -1062385/2097152], [-1062385/4194304, -1062385/4194304], [527729/
1048576, 263865/524288]]]], [[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(u^2-v^2-1 < y,y < 0), (y-u^2+v^2+1)^(1/2) < z
], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-531193/1048576,
-1062385/2097152], [-1062385/4194304, -1062385/4194304], [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 = x, z
< 0], [regular_chain, [[-3, -3], [-5, -5], [-9, -9], [-9, -9], [-1, -1]]]], [[
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 = x, z = 0], [regular_chain, [[-3, -3], [-5, -5], [-9, -9], [-9, -9], [0, 0]
]]], [[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 = x, 0 < z], [regular_chain, [[-3, -3], [-5, -5], [-9, -9], [-9, -9],
[1, 1]]]], [[1, 2, 5, 7, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-1 < x,x <
0), And(0 < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [-1/2, -1/2], [5/4, 5/4], [-3, -3]]]], [[1,
2, 5, 7, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y
< x+3), z = -(y-x)^(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, 7, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(
0 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3,
-3], [-1738867/524288, -3477733/1048576], [-1/2, -1/2], [5/4, 5/4], [0, 0]]]],
[[1, 2, 5, 7, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0
< y,y < x+3), z = (y-x)^(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, 7, 5], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0
< y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [-1/2, -1/2], [5/4, 5/4], [3, 3]]]], [[1, 8, 9, 2, 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, 2,
7, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -3, 0 < y, z < -(y+3)^(1/2)], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-3, -3], [1,
1], [-3, -3]]]], [[1, 10, 2, 7, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -3,
0 < y, z = -(y+3)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -\
2774271/1048576], [-3, -3], [1, 1], [-2, -2]]]], [[1, 10, 2, 7, 3], [v < -2^(1
/2), u = -(v^2-2)^(1/2), x = -3, 0 < y, And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))]
, [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-3, -3], [
1, 1], [0, 0]]]], [[1, 10, 2, 7, 4], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -3
, 0 < y, z = (y+3)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -\
2774271/1048576], [-3, -3], [1, 1], [2, 2]]]], [[1, 10, 2, 7, 5], [v < -2^(1/2
), u = -(v^2-2)^(1/2), x = -3, 0 < y, (y+3)^(1/2) < z], [regular_chain, [[-3,
-3], [-5548543/2097152, -2774271/1048576], [-3, -3], [1, 1], [3, 3]]]], [[1, 
14, 1, 5, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -2, And(x+2 < y,y < 0), z
< -(y-x)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576],
[-3, -3], [-1/2, -1/2], [-3, -3]]]], [[1, 14, 1, 5, 2], [v < -2^(1/2), u = (v^
2-1)^(1/2), x < -2, And(x+2 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[-\
3, -3], [741455/262144, 2965821/1048576], [-3, -3], [-1/2, -1/2], [-3315889/
2097152, -207243/131072]]]], [[1, 14, 1, 5, 3], [v < -2^(1/2), u = (v^2-1)^(1/
2), x < -2, And(x+2 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3, -3], [-1/2, -\
1/2], [0, 0]]]], [[1, 14, 1, 5, 4], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -2,
And(x+2 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [-3, -3], [-1/2, -1/2], [207243/131072, 1657945/
1048576]]]], [[1, 14, 1, 5, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -2, And(
x+2 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [741455/262144, 
2965821/1048576], [-3, -3], [-1/2, -1/2], [3, 3]]]], [[1, 15, 8, 1, 1], [v < -
2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 0, y < 0, z = z], [regular_chain,
[[-3, -3], [6111549/2097152, 6111549/2097152], [0, 0], [-1, -1], [0, 0]]]], [[
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(0 < y,y < x), 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 < x-1, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-4, -4], [-6, -\
6], [0, 0]]]], [[2, 9, 11, 9, 1], [v = -2^(1/2), And(-1 < u,u < 0), 1 < x, x-u
^2+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1/2, -1/2], [2, 2], [6, 6], [-3, -3]]]], [[2, 9, 11, 9, 2], [v = -2
^(1/2), And(-1 < u,u < 0), 1 < x, x-u^2+3 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [2, 2], [6,
6], [-2, -2]]]], [[2, 9, 11, 9, 3], [v = -2^(1/2), And(-1 < u,u < 0), 1 < x, x
-u^2+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911
/1048576, -741455/524288], [-1/2, -1/2], [2, 2], [6, 6], [0, 0]]]], [[2, 9, 11
, 9, 4], [v = -2^(1/2), And(-1 < u,u < 0), 1 < x, x-u^2+3 < y, z = (y-x)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [2, 2],
[6, 6], [2, 2]]]], [[2, 9, 11, 9, 5], [v = -2^(1/2), And(-1 < u,u < 0), 1 < x,
x-u^2+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1/2, -1/2], [2, 2], [6, 6], [3, 3]]]], [[2, 11, 5, 5, 1], [v = -2^(
1/2), And(0 < u,u < 1), And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y <
0), (y-x)^(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 = 0, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [388511/524288, 388511/524288], [0, 0], [0, 0]]]], [[2, 19, 2, 5, 1]
, [v = -2^(1/2), 2 < u, x = -u^2+1, And(-u^2+1 < y,y < 0), z < -(u^2+y-1)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-8, -8], [-4
, -4], [-3, -3]]]], [[2, 19, 2, 5, 2], [v = -2^(1/2), 2 < u, x = -u^2+1, And(-
u^2+1 < y,y < 0), z = -(u^2+y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [-8, -8], [-4, -4], [-2, -2]]]], [[2, 19, 2, 5, 3], [v
= -2^(1/2), 2 < u, x = -u^2+1, And(-u^2+1 < y,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], [-4, -4], [0, 0]]]], [[2, 19, 2, 5, 4], [v = -2^(1/2), 2 < u,
x = -u^2+1, And(-u^2+1 < y,y < 0), z = (u^2+y-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [-8, -8], [-4, -4], [2, 2]]]], [[2,
19, 2, 5, 5], [v = -2^(1/2), 2 < u, x = -u^2+1, And(-u^2+1 < y,y < 0), (u^2+y-\
1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-\
8, -8], [-4, -4], [3, 3]]]], [[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(0 < y,y < -u^2+v^2+2), z =
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608,
-14373233/8388608], [1, 1], [273305/1048576, 273305/1048576], [0, 0]]]], [[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 = 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, 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 =
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, 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 = 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, 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 = 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, 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 = 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, 3, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/
2) < u,u < -v), And(0 < x,x < 1), And(0 < y,y < x), 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, 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 = u^2-v^2-1, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1116681/2097152, -139585/262144], [-1116681/2097152, -\
139585/262144], [-1, -1]]]], [[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 = u^2-v^2-1, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1116681/2097152, -139585/262144], [-1116681/2097152, -\
139585/262144], [0, 0]]]], [[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 = u^2-v^2-1, 0 < z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [
-1116681/2097152, -139585/262144], [-1116681/2097152, -139585/262144], [1, 1]]
]], [[3, 13, 11, 3, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2
)), 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2], [1, 1], [0, 0]]]
], [[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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [0, 0], [
2599117/1048576, 1299559/524288], [-3, -3]]]], [[3, 15, 6, 6, 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], [2599117/1048576, 1299559/524288], [
-3301741/2097152, -825435/524288]]]], [[3, 15, 6, 6, 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], [2599117/1048576, 
1299559/524288], [0, 0]]]], [[3, 15, 6, 6, 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], [2599117/1048576, 1299559/524288], [825435/524288, 
1650871/1048576]]]], [[3, 15, 6, 6, 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], [2599117/1048576, 1299559/524288], [3, 3]]]], [[4, 3, 11, 5,
1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, And(x-u^2+2 < y,y < x), 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 < x, z = z], [regular_chain, [[-\
1, -1], [-1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/
2097152], [-2, -2], [0, 0]]]], [[4, 9, 11, 4, 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, 4, 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,
4, 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, 5, 1], [v = -1, And(1
< u,u < 2^(1/2)), x = 0, And(-u^2+2 < y,y < u^2), z < -y^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [0, 0], [1, 1],
[-2, -2]]]], [[4, 11, 8, 5, 2], [v = -1, And(1 < u,u < 2^(1/2)), x = 0, And(-u
^2+2 < y,y < u^2), z = -y^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576,
1265743/1048576], [0, 0], [1, 1], [-1, -1]]]], [[4, 11, 8, 5, 3], [v = -1, And
(1 < u,u < 2^(1/2)), x = 0, And(-u^2+2 < y,y < u^2), And(-y^(1/2) < z,z < y^(1
/2))], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [0, 0],
[1, 1], [0, 0]]]], [[4, 11, 8, 5, 4], [v = -1, And(1 < u,u < 2^(1/2)), x = 0,
And(-u^2+2 < y,y < u^2), z = y^(1/2)], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [0, 0], [1, 1], [1, 1]]]], [[4, 11, 8, 5, 5], [v =
-1, And(1 < u,u < 2^(1/2)), x = 0, And(-u^2+2 < y,y < u^2), y^(1/2) < z], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [0, 0], [1, 1],
[2, 2]]]], [[5, 2, 4, 2, 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, 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, 2*u^2-2*v^2 < y, z < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [243021/524288
, 486043/1048576], [4, 4], [-3, -3]]]], [[5, 3, 8, 7, 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, 2*u^2-2*v^2 < y, z
= -(y-u^2+v^2+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, 7, 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, 2*u^2-2*v^2 < y, And(-(y-u^2+v^2+1)^(1
/2) < z,z < (y-u^2+v^2+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, 7, 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, 2*u^2-2*v^2 < y, z = (y-u^2+v^2+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, 7, 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, 2*u^2-2*v^2 < y, (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1/2,
-1/2], [-343151/262144, -343151/262144], [243021/524288, 486043/1048576], [4,
4], [3, 3]]]], [[5, 12, 1, 4, 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, 4, 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, 4, 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, 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 < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2],
[3, 3], [-1/2, -1/2], [11, 11], [-5, -5]]]], [[5, 13, 5, 9, 2], [And(-1 < v,v
< 0), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), u^2-v^2+x+1 < y, z = -(y-x)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [3, 3], [-1/2, -1/2], [11, 11], [-3555895/
1048576, -1777947/524288]]]], [[5, 13, 5, 9, 3], [And(-1 < v,v < 0), (v^2+2)^(
1/2) < u, And(-1 < x,x < 0), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[-1/2, -1/2], [3, 3], [-1/2, -1/2], [11, 11], [0, 0]]
]], [[5, 13, 5, 9, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-1 < x,x < 0
), u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [
-1/2, -1/2], [11, 11], [1777947/524288, 3555895/1048576]]]], [[5, 13, 5, 9, 5]
, [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), u^2-v^2+x+1 < y, (
y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3, 3], [-1/2, -1/2], [11, 11]
, [5, 5]]]], [[6, 6, 1, 6, 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, 6,
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, 6,
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, 6, 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, 6, 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, 9, 1], [v = 0, And(0 < u,u < 1), And(0
< x,x < 1), u^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2
], [1/2, 1/2], [3, 3], [-3, -3]]]], [[6, 7, 9, 9, 2], [v = 0, And(0 < u,u < 1)
, And(0 < x,x < 1), u^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [
1/2, 1/2], [1/2, 1/2], [3, 3], [-3315889/2097152, -207243/131072]]]], [[6, 7,
9, 9, 3], [v = 0, And(0 < u,u < 1), And(0 < x,x < 1), u^2+x+1 < y, And(-(y-x)^
(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [1/2, 1/2],
[3, 3], [0, 0]]]], [[6, 7, 9, 9, 4], [v = 0, And(0 < u,u < 1), And(0 < x,x < 1
), u^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [1/2, 1
/2], [3, 3], [207243/131072, 1657945/1048576]]]], [[6, 7, 9, 9, 5], [v = 0, 
And(0 < u,u < 1), And(0 < x,x < 1), u^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[0, 0], [1/2, 1/2], [1/2, 1/2], [3, 3], [3, 3]]]], [[6, 11, 10
, 5, 1], [v = 0, 2^(1/2) < u, x = u^2-1, And(u^2-1 < y,y < 2*u^2), z < -(y-u^2
+1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [8, 8], [13, 13], [-4, -4]]]], [[
6, 11, 10, 5, 2], [v = 0, 2^(1/2) < u, x = u^2-1, And(u^2-1 < y,y < 2*u^2), z
= -(y-u^2+1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [8, 8], [13, 13], [-\
146543/65536, -2344687/1048576]]]], [[6, 11, 10, 5, 3], [v = 0, 2^(1/2) < u, x
= u^2-1, And(u^2-1 < y,y < 2*u^2), And(-(y-u^2+1)^(1/2) < z,z < (y-u^2+1)^(1/2
))], [regular_chain, [[0, 0], [3, 3], [8, 8], [13, 13], [0, 0]]]], [[6, 11, 10
, 5, 4], [v = 0, 2^(1/2) < u, x = u^2-1, And(u^2-1 < y,y < 2*u^2), z = (y-u^2+
1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [8, 8], [13, 13], [2344687/1048576
, 146543/65536]]]], [[6, 11, 10, 5, 5], [v = 0, 2^(1/2) < u, x = u^2-1, And(u^
2-1 < y,y < 2*u^2), (y-u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [3, 3], [8,
8], [13, 13], [4, 4]]]], [[7, 2, 2, 1, 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
], [-5, -5], [0, 0]]]], [[7, 8, 4, 2, 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, 2, 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,
2, 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, 6, 1], [And(0 < v,v <
1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1
/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [2, 2],
[1360785/524288, 2721571/1048576], [-2, -2]]]], [[7, 9, 11, 6, 2], [And(0 < v,
v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y = x-u^2+v^2+1, z = -(-u^2+v^2+1
)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [2,
2], [1360785/524288, 2721571/1048576], [-1618333/2097152, -3236665/4194304]]]]
, [[7, 9, 11, 6, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y
= x-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], [2, 2], [
1360785/524288, 2721571/1048576], [-1/8388608, -1/8388608]]]], [[7, 9, 11, 6,
4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y = x-u^2+v^2+1, z
= (-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [2, 2], [1360785/524288, 2721571/1048576], [404583/524288, 809167/
1048576]]]], [[7, 9, 11, 6, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)
), 1 < x, y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2
], [1696631/2097152, 1696631/2097152], [2, 2], [1360785/524288, 2721571/
1048576], [2, 2]]]], [[7, 10, 7, 3, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2),
And(0 < x,x < 1), And(0 < y,y < x), z = z], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[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 = 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], [2340173/524288, 4680347/1048576], [-3, -3]]]
], [[7, 11, 11, 8, 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], [2340173/524288, 4680347/1048576
], [-3291611/2097152, -1645805/1048576]]]], [[7, 11, 11, 8, 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], [2340173/524288, 4680347/1048576], [0,
0]]]], [[7, 11, 11, 8, 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], [2340173/524288, 4680347/
1048576], [1645805/1048576, 822903/524288]]]], [[7, 11, 11, 8, 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], [2340173/524288, 4680347/1048576], [3, 3]]]], [[8, 4, 7, 7, 1], [v
= 1, u = -2^(1/2), And(0 < x,x < 1), x+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [1/2, 1/2], [4, 4]
, [-3, -3]]]], [[8, 4, 7, 7, 2], [v = 1, u = -2^(1/2), And(0 < x,x < 1), x+2 <
y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [1/2, 1/2], [4, 4], [-7846825/4194304, -980853/524288]]]], [[8, 4, 7,
7, 3], [v = 1, u = -2^(1/2), And(0 < x,x < 1), x+2 < y, And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288],
[1/2, 1/2], [4, 4], [0, 0]]]], [[8, 4, 7, 7, 4], [v = 1, u = -2^(1/2), And(0 <
x,x < 1), x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [1/2, 1/2], [4, 4], [980853/524288, 1961707/1048576]
]]], [[8, 4, 7, 7, 5], [v = 1, u = -2^(1/2), And(0 < x,x < 1), x+2 < y, (y-x)^
(1/2) < z], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [1/2,
1/2], [4, 4], [3, 3]]]], [[8, 6, 1, 3, 1], [v = 1, u = -1, x < -1, And(x < y,y
< x+1), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [-2, -2], [-3/2,
-3/2], [-2, -2]]]], [[8, 6, 1, 3, 2], [v = 1, u = -1, x < -1, And(x < y,y < x+
1), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [-2, -2], [-3/2, -3/
2], [-1482911/2097152, -741455/1048576]]]], [[8, 6, 1, 3, 3], [v = 1, u = -1,
x < -1, And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [-1, -1], [-2, -2], [-3/2, -3/2], [0, 0]]]], [[8, 6, 1
, 3, 4], [v = 1, u = -1, x < -1, And(x < y,y < x+1), z = (y-x)^(1/2)], [
regular_chain, [[1, 1], [-1, -1], [-2, -2], [-3/2, -3/2], [741455/1048576, 
46341/65536]]]], [[8, 6, 1, 3, 5], [v = 1, u = -1, x < -1, And(x < y,y < x+1),
(y-x)^(1/2) < z], [regular_chain, [[1, 1], [-1, -1], [-2, -2], [-3/2, -3/2], [
2, 2]]]], [[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, z < 0], [regular_chain, [[1, 1
], [741455/524288, 1482911/1048576], [-3/2, -3/2], [-3/2, -3/2], [-1, -1]]]],
[[8, 12, 3, 2, 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, 2, 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, 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 < x-u^2+v^2+1, z
= z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608,
-14373233/8388608], [-4, -4], [-6, -6], [0, 0]]]], [[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+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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 2, 2, 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,
2, 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, 2, 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, 5, 1], [v = 2^(1/2), u = -2, 1 < x, And(x-1 < y,y <
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, z = z], [regular_chain, [[741455/524288, 1482911/1048576
], [-1816187/1048576, -3632373/2097152], [-3/2, -3/2], [-3, -3], [0, 0]]]], [[
10, 8, 8, 7, 1], [v = 2^(1/2), u = -1, x = 1, 3 < y, z < -(y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1, 1], [4, 4], [-\
3, -3]]]], [[10, 8, 8, 7, 2], [v = 2^(1/2), u = -1, x = 1, 3 < y, z = -(y-1)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1, 1], [4
, 4], [-1816187/1048576, -3632373/2097152]]]], [[10, 8, 8, 7, 3], [v = 2^(1/2)
, u = -1, x = 1, 3 < y, 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, 7, 4], [v = 2^(1/2), u = -1, x = 1, 3 < y, z = (y-1)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1, 1],
[4, 4], [908093/524288, 1816187/1048576]]]], [[10, 8, 8, 7, 5], [v = 2^(1/2),
u = -1, x = 1, 3 < y, (y-1)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1, -1], [1, 1], [4, 4], [3, 3]]]], [[10, 10, 2, 1, 1], [v
= 2^(1/2), u = 0, x = -3, y < -4, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [-3, -3], [-5, -5], [0, 0]]]], [[10, 16, 5, 1, 1], [
v = 2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), y < x, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-1/2, -1/2
], [-2, -2], [0, 0]]]], [[10, 17, 10, 3, 1], [v = 2^(1/2), And(3^(1/2) < u,u <
2), x = 1, And(0 < y,y < -u^2+4), z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [3913339/2097152, 3913339/2097152], [1, 1], [135777/524288,
135777/524288], [0, 0]]]], [[10, 18, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = 2^(1/2), 2 < u, x = 1, And(1 <
y,y < u^2), z < -(y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [1, 1], [5, 5], [-3, -3]]]], [[10, 19, 8, 7, 2], [v = 2^(1/2
), 2 < u, x = 1, And(1 < y,y < u^2), z = -(y-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [1, 1], [5, 5], [-2, -2]]]], [[10, 19
, 8, 7, 3], [v = 2^(1/2), 2 < u, x = 1, And(1 < y,y < u^2), 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, 7, 4], [v = 2^(1/2), 2 < u, x = 1, 
And(1 < y,y < u^2), z = (y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [3, 3], [1, 1], [5, 5], [2, 2]]]], [[10, 19, 8, 7, 5], [v = 2^(1/2)
, 2 < u, x = 1, And(1 < y,y < u^2), (y-1)^(1/2) < z], [regular_chain, [[741455
/524288, 1482911/1048576], [3, 3], [1, 1], [5, 5], [3, 3]]]], [[11, 6, 6, 2, 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, 1, 5, 1], [2^(1/2) < v, u = -(v^2-1)^(
1/2), x < -2, And(x+2 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[3, 3],
[-2965821/1048576, -11863283/4194304], [-3, -3], [-1/2, -1/2], [-3, -3]]]], [[
11, 8, 1, 5, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -2, And(x+2 < y,y < 0),
z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [-3, -3], [-1/2, -1/2], [-3315889/2097152, -207243/131072]]]], [[11,
8, 1, 5, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -2, And(x+2 < y,y < 0), And
(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [-3, -3], [-1/2, -1/2], [0, 0]]]], [[11, 8, 1, 5,
4], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -2, And(x+2 < y,y < 0), z = (y-x)^(1
/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3, -3]
, [-1/2, -1/2], [207243/131072, 1657945/1048576]]]], [[11, 8, 1, 5, 5], [2^(1/
2) < v, u = -(v^2-1)^(1/2), x < -2, And(x+2 < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3, -3], [-1/2
, -1/2], [3, 3]]]], [[11, 12, 2, 7, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -\
3, 0 < y, z < -(y+3)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/
4096], [-3, -3], [1, 1], [-3, -3]]]], [[11, 12, 2, 7, 2], [2^(1/2) < v, u = (v
^2-2)^(1/2), x = -3, 0 < y, z = -(y+3)^(1/2)], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [-3, -3], [1, 1], [-2, -2]]]], [[11, 12, 2, 7, 3
], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -3, 0 < y, And(-(y+3)^(1/2) < z,z < (y
+3)^(1/2))], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-3, -3],
[1, 1], [0, 0]]]], [[11, 12, 2, 7, 4], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -3
, 0 < y, z = (y+3)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/
4096], [-3, -3], [1, 1], [2, 2]]]], [[11, 12, 2, 7, 5], [2^(1/2) < v, u = (v^2
-2)^(1/2), x = -3, 0 < y, (y+3)^(1/2) < z], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [-3, -3], [1, 1], [3, 3]]]], [[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 = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [133259/524288, 133259/524288], [-2, -2], [0, 0]]]], [[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(1 < y,y
< u^2-v^2+2), z < -(y-1)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [1, 1], [1178087/524288, 1178087/524288], [-3, -3]]]], [[11,
19, 10, 7, 2], [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 = -(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, 7, 3], [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), 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, 7, 4], [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 = (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, 7, 5], [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), (y-1)^(1/2) < z],
[regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [1, 1], [1178087/
524288, 1178087/524288], [3, 3]]]], [[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 < -(u^2-v^2+1)^(1/2)
], [regular_chain, [[3, 3], [5, 5], [-9, -9], [8, 8], [-6, -6]]]], [[11, 21, 3
, 8, 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, 8, 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, 8, 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, 8, 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, 7, 5, 1], [v < -2^(1/2), u = -
(v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [1/2, 1/2], [3/2,
3/2], [-2, -2]]]], [[1, 4, 7, 5, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(0
< x,x < 1), And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3],
[-3315889/1048576, -207243/65536], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]], [[1, 4
, 7, 5, 3], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y <
x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[1, 4, 7,
5, 4], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2)
, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/
65536], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[1, 4, 7, 5, 5], [v < -2^(1/2), u
= -(v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [1/2, 1/2], [3/2,
3/2], [2, 2]]]], [[1, 6, 1, 5, 1], [v < -2^(1/2), u = v, x < -1, And(x+1 < y,y
< 0), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [-2, -2], [-1/2,
-1/2], [-3, -3]]]], [[1, 6, 1, 5, 2], [v < -2^(1/2), u = v, x < -1, And(x+1 <
y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [-2, -2], [-\
1/2, -1/2], [-1284239/1048576, -642119/524288]]]], [[1, 6, 1, 5, 3], [v < -2^(
1/2), u = v, x < -1, And(x+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[-3, -3], [-3, -3], [-2, -2], [-1/2, -1/2], [0, 0]]]], [[1
, 6, 1, 5, 4], [v < -2^(1/2), u = v, x < -1, And(x+1 < y,y < 0), z = (y-x)^(1/
2)], [regular_chain, [[-3, -3], [-3, -3], [-2, -2], [-1/2, -1/2], [642119/
524288, 1284239/1048576]]]], [[1, 6, 1, 5, 5], [v < -2^(1/2), u = v, x < -1, 
And(x+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-3, -3], [-2
, -2], [-1/2, -1/2], [3, 3]]]], [[1, 12, 3, 2, 1], [v < -2^(1/2), u = (v^2-2)^
(1/2), And(-3 < x,x < -1), y = x-1, z = z], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [-2, -2], [-3, -3], [0, 0]]]], [[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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -\
3], [1435023/524288, 1435023/524288], [133259/524288, 133259/524288], [395403/
262144, 395403/262144], [-3, -3]]]], [[1, 13, 7, 7, 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(x < y,y < x-
u^2+v^2+1), z = -(y-x)^(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, 7, 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(x < y
,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
3, -3], [1435023/524288, 1435023/524288], [133259/524288, 133259/524288], [
395403/262144, 395403/262144], [0, 0]]]], [[1, 13, 7, 7, 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(x < y
,y < x-u^2+v^2+1), z = (y-x)^(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, 7, 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(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [133259/524288, 133259/524288], [395403/
262144, 395403/262144], [3, 3]]]], [[1, 17, 11, 8, 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], [3663111/
1048576, 457889/131072], [-3, -3]]]], [[1, 17, 11, 8, 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], [3663111/
1048576, 457889/131072], [-1281417/1048576, -160177/131072]]]], [[1, 17, 11, 8
, 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], [3663111/1048576, 457889/131072], [0,
0]]]], [[1, 17, 11, 8, 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], [3663111/1048576, 457889/131072], [160177/
131072, 1281417/1048576]]]], [[1, 17, 11, 8, 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], [3663111/1048576, 457889/
131072], [3, 3]]]], [[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 = 0, z = z], [regular_chain, [[-\
3, -3], [3396811/1048576, 3396811/1048576], [129511/524288, 129511/524288], [0
, 0], [0, 0]]]], [[2, 4, 1, 3, 1], [v = -2^(1/2), u = -3^(1/2), x < -2, And(x
< y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1816187/1048576, -3632373/2097152], [-3, -3], [-2, -2], [-2, -2]]]]
, [[2, 4, 1, 3, 2], [v = -2^(1/2), u = -3^(1/2), x < -2, And(x < y,y < x+2), z
= -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1816187/1048576, -3632373/2097152], [-3, -3], [-2, -2], [-1, -1]]]], [[2, 4, 1
, 3, 3], [v = -2^(1/2), u = -3^(1/2), x < -2, And(x < y,y < x+2), And(-(y-x)^(
1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288
], [-1816187/1048576, -3632373/2097152], [-3, -3], [-2, -2], [0, 0]]]], [[2, 4
, 1, 3, 4], [v = -2^(1/2), u = -3^(1/2), x < -2, And(x < y,y < x+2), z = (y-x)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/
1048576, -3632373/2097152], [-3, -3], [-2, -2], [1, 1]]]], [[2, 4, 1, 3, 5], [
v = -2^(1/2), u = -3^(1/2), x < -2, And(x < y,y < x+2), (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-3, -3], [-2, -2], [2, 2]]]], [[2, 5, 7, 8, 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], [1270997/1048576, 
635499/524288], [-3, -3]]]], [[2, 5, 7, 8, 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], [1270997/1048576, 
635499/524288], [-636691/524288, -1273381/1048576]]]], [[2, 5, 7, 8, 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], [1270997/1048576, 635499/524288], [0, 0]]]], [[2, 5, 7, 8, 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], [
1270997/1048576, 635499/524288], [1273381/1048576, 636691/524288]]]], [[2, 5,
7, 8, 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],
[1270997/1048576, 635499/524288], [3, 3]]]], [[2, 6, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 1], [v = -2^(1/2), And(v < u,u < -1), And(0 < x,x < 1), x-u^2+3 < y,
z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [1/2, 1/2], [4, 4], [-3, -3]]]], [[2, 7, 9
, 9, 2], [v = -2^(1/2), And(v < u,u < -1), And(0 < x,x < 1), x-u^2+3 < y, z =
-(y-x)^(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, 9, 3], [v = -2^(1/2), And(v < u,u < -1), And(0 < x,x <
1), x-u^2+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1/2,
1/2], [4, 4], [0, 0]]]], [[2, 7, 9, 9, 4], [v = -2^(1/2), And(v < u,u < -1), 
And(0 < x,x < 1), x-u^2+3 < y, z = (y-x)^(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, 9, 5], [v = -2^(1/2), 
And(v < u,u < -1), And(0 < x,x < 1), x-u^2+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [1/2, 1/2], [4, 4], [3, 3]]]], [[2, 13, 9, 8, 1], [v = -2^(1
/2), And(1 < u,u < -v), And(0 < x,x < 1), y = x-u^2+3, z < -(-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [2142129/1048576, 1071065/524288], [-3, -3]]]], [[2, 13,
9, 8, 2], [v = -2^(1/2), And(1 < u,u < -v), And(0 < x,x < 1), y = x-u^2+3, z =
-(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [1/2, 1/2], [2142129/1048576, 1071065/
524288], [-1302471/1048576, -651235/524288]]]], [[2, 13, 9, 8, 3], [v = -2^(1/
2), And(1 < u,u < -v), And(0 < x,x < 1), y = x-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], [1/2, 1/2], [2142129/1048576, 1071065/
524288], [0, 0]]]], [[2, 13, 9, 8, 4], [v = -2^(1/2), And(1 < u,u < -v), And(0
< x,x < 1), y = x-u^2+3, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [
2142129/1048576, 1071065/524288], [651235/524288, 1302471/1048576]]]], [[2, 13
, 9, 8, 5], [v = -2^(1/2), And(1 < u,u < -v), And(0 < x,x < 1), y = x-u^2+3, (
-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [1/2, 1/2], [2142129/1048576, 1071065/
524288], [3, 3]]]], [[2, 15, 6, 7, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)),
x = u^2-3, 2*u^2-4 < y, z < -(y-u^2+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-1101541/
2097152, -275385/524288], [2, 2], [-3, -3]]]], [[2, 15, 6, 7, 2], [v = -2^(1/2
), And(-v < u,u < 3^(1/2)), x = u^2-3, 2*u^2-4 < y, z = -(y-u^2+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, 7, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2))
, x = u^2-3, 2*u^2-4 < y, And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+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, 7, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = u^2-3, 2*u
^2-4 < y, z = (y-u^2+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, 7, 5], [v = -2^(1/
2), And(-v < u,u < 3^(1/2)), x = u^2-3, 2*u^2-4 < y, (y-u^2+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, 5
, 1], [v = -2^(1/2), 2 < u, And(0 < x,x < 1), And(0 < y,y < x), 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 < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [7909297/
2097152, 7909297/2097152], [12912521/1048576, 6456261/524288], [-4, -4]]]], [[
3, 1, 9, 8, 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], [12912521/1048576, 6456261/524288], [-1532401/524288, -24518415/
8388608]]]], [[3, 1, 9, 8, 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], [12912521/1048576, 6456261/524288], [-\
7/16777216, -7/16777216]]]], [[3, 1, 9, 8, 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], [12912521/1048576, 6456261/524288], [3064801/
1048576, 1532401/524288]]]], [[3, 1, 9, 8, 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], [12912521/1048576, 6456261/524288], [4, 4]]]], [[3,
7, 11, 5, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x,
And(x < y,y < u^2-v^2+x+1), z < -(y-x)^(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(x < y,y < u^2-v^2+x+
1), z = -(y-x)^(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(x < y,y < u^2-v^2+x+
1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2-v^2+x+1), z = (y-
x)^(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(x < y,y < u^2-v^2+x+1), (y-x)^(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 = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [239655/1048576,
239655/1048576], [-2, -2], [0, 0]]]], [[3, 17, 7, 1, 1], [And(-2^(1/2) < v,v <
-1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y < x-u^2+v^2+1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1/2, 1/2], [-8,
-8], [0, 0]]]], [[4, 1, 9, 4, 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, 10, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 6, 2, 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, 2, 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, 2, 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, 10, 7, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x =
1, And(1 < y,y < u^2+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, 7, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 1,
And(1 < y,y < u^2+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, 7, 3], [v = -1, And(2^(1/2)
< u,u < 3^(1/2)), x = 1, And(1 < y,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]
, [4692109/2097152, 4692109/2097152], [0, 0]]]], [[4, 13, 10, 7, 4], [v = -1,
And(2^(1/2) < u,u < 3^(1/2)), x = 1, And(1 < y,y < u^2+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,
7, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, And(1 < y,y < u^2+1), (y-\
1)^(1/2) < z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152],
[1, 1], [4692109/2097152, 4692109/2097152], [3, 3]]]], [[4, 15, 4, 3, 1], [v =
-1, 3^(1/2) < u, x = -1, And(-u^2+1 < y,y < -1), z = z], [regular_chain, [[-1,
-1], [3, 3], [-1, -1], [-9/2, -9/2], [0, 0]]]], [[5, 5, 10, 9, 1], [And(-1 < v
,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 1, u^2-v^2+2 < y, z < -(y-1)^(1/2)
], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1, 1]
, [4, 4], [-3, -3]]]], [[5, 5, 10, 9, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/
2) < u,u < v), x = 1, u^2-v^2+2 < y, 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, 9, 3], [And(-1 < v,v < 0), And(-(v^
2+1)^(1/2) < u,u < v), x = 1, u^2-v^2+2 < y, 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, 9, 4], [And(-1 < v,v <
0), And(-(v^2+1)^(1/2) < u,u < v), x = 1, u^2-v^2+2 < y, 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, 9, 5], [And(-1 < v,v <
0), And(-(v^2+1)^(1/2) < u,u < v), x = 1, u^2-v^2+2 < y, (y-1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [4
, 4], [3, 3]]]], [[5, 7, 8, 1, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x =
0, y < 0, z = z], [regular_chain, [[-1/2, -1/2], [0, 0], [0, 0], [-1, -1], [0,
0]]]], [[5, 8, 2, 3, 1], [And(-1 < v,v < 0), u = -v, x = -1, And(-1 < y,y < 0)
, z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2)
< z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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
= 1, z < 0], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152]
, [1, 1], [1, 1], [-1, -1]]]], [[5, 9, 10, 4, 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, 4, 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, 5, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 10, 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, 10, 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, 10, 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, 8, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = 0, And(1 < u,u < 2^(1/2)), x = 1
, And(-u^2+2 < y,y < 1), z = z], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [1, 1], [808921/1048576, 808921/1048576], [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, z =
z], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-1/2, -1
/2], [-2, -2], [0, 0]]]], [[7, 5, 10, 7, 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, 7, 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, 7, 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, 7, 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, 7, 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, 5, 1], [v = 1, u < -3^(1/2), x < -u^2, And(x < y,y <
u^2+x), z < -(y-x)^(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
(x < y,y < u^2+x), z = -(y-x)^(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(x < y,y < u^2+x), And(-(y-x)^(1/2) < z,z
< (y-x)^(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(x < y,y < u
^2+x), z = (y-x)^(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(x < y,y < u^2+x), (y-x)^(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 = 0, z < -(-x)^(1/2)], [regular_chain,
[[1, 1], [-1816187/1048576, -3632373/2097152], [-2, -2], [0, 0], [-3, -3]]]],
[[8, 2, 3, 6, 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, 6, 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, 6, 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, 6,
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, 8, 7, 1, 1], [v = 1, u = 0, And(0 < x,x < 1), y < 0, z = z],
[regular_chain, [[1, 1], [0, 0], [1/2, 1/2], [-1, -1], [0, 0]]]], [[8, 9, 11,
6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 2, 1], [v = 1, u = 3^(1/2), And(-1 < x,x < 0), y = x-1, z = z
], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1/2, -1/2], [-\
3/2, -3/2], [0, 0]]]], [[8, 15, 9, 3, 1], [v = 1, 3^(1/2) < u, And(1 < x,x < u
^2-2), And(x-u^2+2 < y,y < 0), z = z], [regular_chain, [[1, 1], [3, 3], [4, 4]
, [-3/2, -3/2], [0, 0]]]], [[9, 6, 7, 2, 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, 2, 5, 1
], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -2, 0 < y, z < -(y+2)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [-2, -2], [1, 1], [-3, -3]]]], [[9, 8, 2, 5, 2], [And(1 < v,v
< 2^(1/2)), u = -(v^2-1)^(1/2), x = -2, 0 < y, z = -(y+2)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-2, -2], [1, 1], [-1816187/1048576, -3632373/2097152]]]], [[9, 8, 2
, 5, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -2, 0 < y, And(-(y+2
)^(1/2) < z,z < (y+2)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [-2, -2], [1, 1], [-1/4194304, -\
1/4194304]]]], [[9, 8, 2, 5, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2),
x = -2, 0 < y, z = (y+2)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [-2, -2], [1, 1], [908093/524288
, 1816187/1048576]]]], [[9, 8, 2, 5, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)
^(1/2), x = -2, 0 < y, (y+2)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1417877/2097152, -354469/524288], [-2, -2], [1, 1], [3, 3]
]]], [[9, 8, 9, 5, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), 1 < x, And
(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-1417877/2097152, -354469/524288], [2, 2], [3, 3], [-2, -2]]]], [[
9, 8, 9, 5, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), 1 < x, And(x < y,
y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [2, 2], [3, 3], [-1, -1]]]], [[9
, 8, 9, 5, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), 1 < x, And(x < y,y
< x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [2, 2], [3, 3],
[0, 0]]]], [[9, 8, 9, 5, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), 1 <
x, And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1417877/2097152, -354469/524288], [2, 2], [3, 3], [1, 1]]]
], [[9, 8, 9, 5, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), 1 < x, And(x
< y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [2, 2], [3, 3], [2, 2]]]], [[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 < y,y < 0), z < -(y-x)^(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, 3, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), 
And(-2 < x,x < -1), And(x < y,y < 0), z = -(y-x)^(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, 3, 3],
[And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-2 < x,x < -1), And(x < y,y <
0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [And(1 < v,v < 2^(1/2)), u = (
v^2-1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-2 < x,x < -1),
And(x < y,y < 0), (y-x)^(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, 5, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 0, And
(0 < y,y < 3), 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, 5, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 0, And(0 < y,
y < 3), 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, 5, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x
= 0, And(0 < y,y < 3), 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, 5, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(
1/2), x = 0, And(0 < y,y < 3), 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, 5, 5], [And(1 < v,v < 2^(1/2))
, u = (v^2+2)^(1/2), x = 0, And(0 < y,y < 3), y^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [0, 0], [3
/2, 3/2], [3, 3]]]], [[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 = 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], [7909297/524288, 15818595/1048576], [-4, -4]]]], [[9, 17, 10, 6, 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], [7909297/524288, 15818595/1048576], [
-1532401/524288, -24518415/8388608]]]], [[9, 17, 10, 6, 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], [7909297/524288, 15818595
/1048576], [-7/16777216, -7/16777216]]]], [[9, 17, 10, 6, 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], [7909297/524288, 15818595/1048576], [3064801/1048576
, 1532401/524288]]]], [[9, 17, 10, 6, 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], [7909297/524288, 15818595/1048576], [4, 4]]]], [[10, 4, 9, 6, 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, 6, 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, 6, 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, 6, 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, 6,
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, 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+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [-1/2, -1/2], [3, 3], [-3, -3]]]], [[10, 12,
5, 7, 2], [v = 2^(1/2), u = 1, And(-1 < x,x < 0), x+2 < y, z = -(y-x)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1/2, -1/2], [3, 3
], [-7846825/4194304, -980853/524288]]]], [[10, 12, 5, 7, 3], [v = 2^(1/2), u
= 1, And(-1 < x,x < 0), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1/2, -1/2], [3, 3]
, [0, 0]]]], [[10, 12, 5, 7, 4], [v = 2^(1/2), u = 1, And(-1 < x,x < 0), x+2 <
y, z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1]
, [-1/2, -1/2], [3, 3], [980853/524288, 1961707/1048576]]]], [[10, 12, 5, 7, 5
], [v = 2^(1/2), u = 1, And(-1 < x,x < 0), x+2 < y, (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1/2, -1/2], [3, 3]
, [3, 3]]]], [[10, 13, 10, 9, 1], [v = 2^(1/2), And(1 < u,u < v), x = 1, -u^2+
4 < y, z < -(y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [1, 1], [4, 4], [-3, -3]]]], [[10, 13, 10,
9, 2], [v = 2^(1/2), And(1 < u,u < v), x = 1, -u^2+4 < y, 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, 9, 3], [v = 2^(1/2), And(1 < u,u < v), x = 1, -u^2+4 < y, 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, 9, 4], [v = 2^(1/2), And(1 < u,u < v), x = 1, -u^2+4 < y, 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, 9, 5], [v = 2^(1/2), And(1 < u,u < v), x = 1, -u^2+4 < y, (y-1
)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [1, 1], [4, 4], [3, 3]]]], [[11, 2, 7, 4, 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, 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-u^2+v^2+1 < y,y < x), 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 = z],
[regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-1, -1], [-2,
-2], [0, 0]]]], [[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 < 0), z = z], [regular_chain, [[3, 3
], [0, 0], [1, 1], [-7/2, -7/2], [0, 0]]]], [[11, 15, 9, 7, 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-u^2+
v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[11, 15, 9, 7, 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-u
^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]], [[11, 15, 9, 7, 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-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3
, 3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [
[11, 15, 9, 7, 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-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[3
, 3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [
[11, 15, 9, 7, 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-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[3
, 3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [
[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 = u^2-v^2-1, z < 0], [regular_chain, [[3, 3], [403851/131072, 403851/131072]
, [-531193/1048576, -1062385/2097152], [-531193/1048576, -1062385/2097152], [-\
1, -1]]]], [[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 = u^2-v^2-1, z = 0], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [-531193/1048576, -1062385/2097152], [-531193/1048576, -\
1062385/2097152], [0, 0]]]], [[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 = u^2-v^2-1, 0 < z], [regular_chain, [[3, 3],
[403851/131072, 403851/131072], [-531193/1048576, -1062385/2097152], [-531193/
1048576, -1062385/2097152], [1, 1]]]], [[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(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0)
, And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = 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, 8, 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, 8, 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, 8, 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, 8, 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, 9, 1, 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], [-1, -1], [0, 0]]]], [[1, 10, 2
, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 8, 2, 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, 2, 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, 2, 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, 9, 4, 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, 9, 1], [v = -2^(1/2), u < -2, u^2-3 < x, u^2+x-1 < y, z
< -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3]
, [7, 7], [16, 16], [-4, -4]]]], [[2, 1, 11, 9, 2], [v = -2^(1/2), u < -2, u^2
-3 < x, u^2+x-1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [7, 7], [16, 16], [-3, -3]]]], [[2, 1, 11, 9, 3], [v
= -2^(1/2), u < -2, u^2-3 < x, u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/
2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [7, 7], [
16, 16], [0, 0]]]], [[2, 1, 11, 9, 4], [v = -2^(1/2), u < -2, u^2-3 < x, u^2+x
-1 < y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-3, -3], [7, 7], [16, 16], [3, 3]]]], [[2, 1, 11, 9, 5], [v = -2^(1/2), u < -\
2, u^2-3 < x, u^2+x-1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [7, 7], [16, 16], [4, 4]]]], [[2, 10, 1, 1
, 1], [v = -2^(1/2), u = 0, x < -3, y < x-1, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-4, -4], [-6, -6], [0, 0]]]], [[2,
11, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 1, 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], [-1, -1], [0, 0]]]], [[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 = -u^2+v^2+2, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [1
, 1], [273305/524288, 546611/1048576], [0, 0]]]], [[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
(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/4194304,
-3213831/4194304], [367677/1048576, 367677/1048576], [-3, -3]]]], [[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(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
3213831/4194304, -3213831/4194304], [367677/1048576, 367677/1048576], [-\
1108163/1048576, -554081/524288]]]], [[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(0 < y,y < u^
2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/
4194304, -3213831/4194304], [367677/1048576, 367677/1048576], [0, 0]]]], [[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(0 < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [367677/1048576, 
367677/1048576], [554081/524288, 1108163/1048576]]]], [[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(0 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/
4194304, -3213831/4194304], [367677/1048576, 367677/1048576], [3, 3]]]], [[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 = 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[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 < u^2-v^2-1, z = z], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [1454701/1048576, 1454701/1048576], [-1116681/2097152, -139585/
262144], [-2, -2], [0, 0]]]], [[3, 13, 11, 2, 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, 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 < -y^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [0, 0], [2599117/2097152, 2599117/2097152], [-3, -3]]]], [[3, 15, 6,
5, 2], [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 = -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,
5, 3], [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), 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, 5, 4], [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 = 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, 5, 5], [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)
, 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, 6, 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, 6, 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, 6, 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, 7, 2, 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], [-284633/1048576, -35579/131072], [-1, -1]]]], [[4,
5, 7, 2, 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], [-284633/1048576, -35579/131072], [0, 0]]]],
[[4, 5, 7, 2, 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], [-284633/1048576, -35579/131072], [1, 1]]]],
[[4, 9, 11, 3, 1], [v = -1, And(0 < u,u < 1), 1 < x, And(0 < y,y < x), z = z],
[regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [1, 1], [0, 0]]]], [[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], [
569265/1048576, 284633/524288], [-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], [569265/1048576, 284633/
524288], [-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], [569265/1048576, 284633/524288], [-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], [
569265/1048576, 284633/524288], [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], [
569265/1048576, 284633/524288], [2, 2]]]], [[5, 2, 4, 3, 1], [And(-1 < v,v < 0
), u = -(v^2+2)^(1/2), x = -1, And(-2 < y,y < -1), z = z], [regular_chain, [[-\
1/2, -1/2], [-3/2, -3/2], [-1, -1], [-3/2, -3/2], [0, 0]]]], [[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 < 0, z = z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [1534619/2097152, 1534619/2097152], [-1, -1], [0, 0]]]], [[5,
12, 1, 3, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x < -3, And(x-1 < y,y < x
), z = z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-4, -4], [-9/2, -9/2],
[0, 0]]]], [[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 < -(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, 8, 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, 8, 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, 8, 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, 8, 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, 6, 1, 7, 1], [v = 0, u = 0, x < -1, 0 < y, z < -(y-x)^(1/2)], [
regular_chain, [[0, 0], [0, 0], [-2, -2], [1, 1], [-3, -3]]]], [[6, 6, 1, 7, 2
], [v = 0, u = 0, x < -1, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [
0, 0], [-2, -2], [1, 1], [-1816187/1048576, -3632373/2097152]]]], [[6, 6, 1, 7
, 3], [v = 0, u = 0, x < -1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[0, 0], [0, 0], [-2, -2], [1, 1], [-1/4194304, -1/4194304]]]],
[[6, 6, 1, 7, 4], [v = 0, u = 0, x < -1, 0 < y, z = (y-x)^(1/2)], [
regular_chain, [[0, 0], [0, 0], [-2, -2], [1, 1], [908093/524288, 1816187/
1048576]]]], [[6, 6, 1, 7, 5], [v = 0, u = 0, x < -1, 0 < y, (y-x)^(1/2) < z],
[regular_chain, [[0, 0], [0, 0], [-2, -2], [1, 1], [3, 3]]]], [[6, 7, 10, 1, 1
], [v = 0, And(0 < u,u < 1), x = 1, y < 0, z = z], [regular_chain, [[0, 0], [1
/2, 1/2], [1, 1], [-1, -1], [0, 0]]]], [[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, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2
, 1/2], [-3/2, -3/2], [-4, -4], [1, 1], [-4, -4]]]], [[7, 2, 1, 9, 2], [And(0
< v,v < 1), u = -(v^2+2)^(1/2), x < -3, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-4, -4], [1, 1], [-146543/65536, -\
2344687/1048576]]]], [[7, 2, 1, 9, 3], [And(0 < v,v < 1), u = -(v^2+2)^(1/2),
x < -3, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2,
1/2], [-3/2, -3/2], [-4, -4], [1, 1], [0, 0]]]], [[7, 2, 1, 9, 4], [And(0 < v,
v < 1), u = -(v^2+2)^(1/2), x < -3, 0 < y, z = (y-x)^(1/2)], [regular_chain, [
[1/2, 1/2], [-3/2, -3/2], [-4, -4], [1, 1], [2344687/1048576, 146543/65536]]]]
, [[7, 2, 1, 9, 5], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x < -3, 0 < y, (y-x
)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-4, -4], [1, 1], [4,
4]]]], [[7, 8, 4, 3, 1], [And(0 < v,v < 1), u = v, x = 0, And(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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-u^
2+v^2+1 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2],
[1696631/2097152, 1696631/2097152], [2, 2], [3, 3], [-2, -2]]]], [[7, 9, 11, 7
, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(x-u^2+v^2+1
< y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631
/2097152, 1696631/2097152], [2, 2], [3, 3], [-1, -1]]]], [[7, 9, 11, 7, 3], [
And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(x-u^2+v^2+1 < y,y <
u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1
/2], [1696631/2097152, 1696631/2097152], [2, 2], [3, 3], [0, 0]]]], [[7, 9, 11
, 7, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(x-u^2+v^2
+1 < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [2, 2], [3, 3], [1, 1]]]], [[7, 9, 11, 7, 5
], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(x-u^2+v^2+1 < y
,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [2, 2], [3, 3], [2, 2]]]], [[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, u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2
], [343151/262144, 343151/262144], [2, 2], [6, 6], [-3, -3]]]], [[7, 11, 11, 9
, 2], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, u^2-
v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 
343151/262144], [2, 2], [6, 6], [-2, -2]]]], [[7, 11, 11, 9, 3], [And(0 < v,v
< 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, u^2-v^2+x+1 < y, And(-(
y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [343151/262144,
343151/262144], [2, 2], [6, 6], [0, 0]]]], [[7, 11, 11, 9, 4], [And(0 < v,v <
1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, u^2-v^2+x+1 < y, z = (y-x
)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [2, 2],
[6, 6], [2, 2]]]], [[7, 11, 11, 9, 5], [And(0 < v,v < 1), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), 1 < x, u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain
, [[1/2, 1/2], [343151/262144, 343151/262144], [2, 2], [6, 6], [3, 3]]]], [[8,
4, 7, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 1, 2, 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,
2, 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, 2, 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, 7, 5, 1], [v = 1, u = 1, 1 < x, And(x < y,y < x+1), z < -(y-x)^(1/2)]
, [regular_chain, [[1, 1], [1, 1], [2, 2], [5/2, 5/2], [-2, -2]]]], [[8, 10, 7
, 5, 2], [v = 1, u = 1, 1 < x, And(x < y,y < x+1), z = -(y-x)^(1/2)], [
regular_chain, [[1, 1], [1, 1], [2, 2], [5/2, 5/2], [-1482911/2097152, -741455
/1048576]]]], [[8, 10, 7, 5, 3], [v = 1, u = 1, 1 < x, And(x < y,y < x+1), And
(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [1, 1], [2, 2],
[5/2, 5/2], [0, 0]]]], [[8, 10, 7, 5, 4], [v = 1, u = 1, 1 < x, And(x < y,y <
x+1), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [1, 1], [2, 2], [5/2, 5/2], [
741455/1048576, 46341/65536]]]], [[8, 10, 7, 5, 5], [v = 1, u = 1, 1 < x, And(
x < y,y < x+1), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [1, 1], [2, 2], [5/
2, 5/2], [2, 2]]]], [[8, 12, 3, 3, 1], [v = 1, u = 2^(1/2), And(-2 < x,x < -1)
, And(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [741455/524288
, 1482911/1048576], [-3/2, -3/2], [-3/4, -3/4], [-2, -2]]]], [[8, 12, 3, 3, 2]
, [v = 1, u = 2^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v = 1,
u = 2^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y
-x)^(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, 3, 4], [v = 1, u
= 2^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = 1, u = 2^(1
/2), And(-2 < x,x < -1), And(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [
[1, 1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [-3/4, -3/4], [2, 2]]]
], [[9, 2, 9, 9, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), 1 < x, x+3 <
y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [2, 2], [6, 6], [-3, -3]]]], [[9, 2, 9, 9,
2], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), 1 < x, x+3 < y, z = -(y-x)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152,
-7798593/4194304], [2, 2], [6, 6], [-2, -2]]]], [[9, 2, 9, 9, 3], [And(1 < v,v
< 2^(1/2)), u = -(v^2+2)^(1/2), 1 < x, x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [2, 2], [6, 6], [0, 0]]]], [[9, 2, 9, 9, 4], [And(
1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), 1 < x, x+3 < y, z = (y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [2, 2], [6, 6], [2, 2]]]], [[9, 2, 9, 9, 5], [And(1 < v,v <
2^(1/2)), u = -(v^2+2)^(1/2), 1 < x, x+3 < y, (y-x)^(1/2) < z], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [
2, 2], [6, 6], [3, 3]]]], [[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+2), z < -(y-x)^(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, 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+2), z =
-(y-x)^(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, 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+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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+2)
, z = (y-x)^(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, 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+2), (y-x)^(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, 6, 7, 1], [And(1 < v,v < 2^(1/2)), u =
v, x = 1, 2 < y, z < -(y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [3, 3], [-3, -3]]]], [[
9, 12, 6, 7, 2], [And(1 < v,v < 2^(1/2)), u = v, x = 1, 2 < y, 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, 7, 3], [And(1 < v,v < 2^(1/2)), u = v, x = 1, 2 < y, 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, 7, 4
], [And(1 < v,v < 2^(1/2)), u = v, x = 1, 2 < y, 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, 7,
5], [And(1 < v,v < 2^(1/2)), u = v, x = 1, 2 < y, (y-1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [1, 1], [3, 3], [3, 3]]]], [[9, 14, 2, 3, 1], [And(1 < v,v < 2^(1/2)
), u = (v^2+1)^(1/2), x = -2, And(-2 < y,y < 0), z < -(y+2)^(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(-2 < y,y < 0), z = -(y+2)^(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(-2 < y,y < 0), And(-(y+2)^(1/2) < z,z <
(y+2)^(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(-2 < y,y < 0), z = (y+2
)^(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(-2 < y,y < 0), (y+2)^(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-1, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [-2, -2], [2, 2], [1, 1], [0, 0]]]], [[10, 4, 2, 5, 1], [v =
2^(1/2), u = -3^(1/2), x = -2, 0 < y, z < -(y+2)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-2, -2
], [1, 1], [-3, -3]]]], [[10, 4, 2, 5, 2], [v = 2^(1/2), u = -3^(1/2), x = -2,
0 < y, z = -(y+2)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
-1816187/1048576, -3632373/2097152], [-2, -2], [1, 1], [-1816187/1048576, -\
3632373/2097152]]]], [[10, 4, 2, 5, 3], [v = 2^(1/2), u = -3^(1/2), x = -2, 0
< y, And(-(y+2)^(1/2) < z,z < (y+2)^(1/2))], [regular_chain, [[741455/524288,
1482911/1048576], [-1816187/1048576, -3632373/2097152], [-2, -2], [1, 1], [-1/
4194304, -1/4194304]]]], [[10, 4, 2, 5, 4], [v = 2^(1/2), u = -3^(1/2), x = -2
, 0 < y, z = (y+2)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1816187/1048576, -3632373/2097152], [-2, -2], [1, 1], [908093/524288, 
1816187/1048576]]]], [[10, 4, 2, 5, 5], [v = 2^(1/2), u = -3^(1/2), x = -2, 0
< y, (y+2)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1816187/1048576, -3632373/2097152], [-2, -2], [1, 1], [3, 3]]]], [[10, 8, 9, 1
, 1], [v = 2^(1/2), u = -1, 1 < x, y < 0, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [2, 2], [-1, -1], [0, 0]]]], [[10, 10, 2,
2, 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, 4,
7, 1], [v = 2^(1/2), u = 3^(1/2), x = -1, 1 < y, z < -(y+1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-1, -1], [2, 2], [-3, -3]]]], [[10, 16, 4, 7, 2], [v = 2^(1/2), u =
3^(1/2), x = -1, 1 < y, z = -(y+1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [908093/524288, 1816187/1048576], [-1, -1], [2, 2], [-\
1816187/1048576, -3632373/2097152]]]], [[10, 16, 4, 7, 3], [v = 2^(1/2), u = 3
^(1/2), x = -1, 1 < y, 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], [-1/4194304, -1/4194304]]]], [[10, 16, 4, 7, 4], [v = 2^(1/2), u = 3^(
1/2), x = -1, 1 < y, z = (y+1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [908093/524288, 1816187/1048576], [-1, -1], [2, 2], [908093/
524288, 1816187/1048576]]]], [[10, 16, 4, 7, 5], [v = 2^(1/2), u = 3^(1/2), x
= -1, 1 < y, (y+1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [908093/524288, 1816187/1048576], [-1, -1], [2, 2], [3, 3]]]], [[10,
17, 10, 2, 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, 4, 5, 1], [v = 2^(1/2), u = 2,
x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y <
0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = 1, z < 0],
[regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [1, 1], [1, 1], [-1
, -1]]]], [[10, 19, 8, 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, 8, 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, 6, 6, 3, 1], [2^(1/2) < v, u = -v, x = 1, And(0 < y,y < 1), z = z
], [regular_chain, [[3, 3], [-3, -3], [1, 1], [1/2, 1/2], [0, 0]]]], [[11, 8,
1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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,
6, 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, 6, 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, 6, 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, 6, 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, 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 < -y^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [
0, 0], [4, 4], [-3, -3]]]], [[11, 13, 6, 7, 2], [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 = -y^(1/2)], [regular_chain
, [[3, 3], [1435023/524288, 1435023/524288], [0, 0], [4, 4], [-2, -2]]]], [[11
, 13, 6, 7, 3], [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, 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, 7, 4]
, [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 = y^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [0
, 0], [4, 4], [2, 2]]]], [[11, 13, 6, 7, 5], [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, y^(1/2) < z], [regular_chain, [[3
, 3], [1435023/524288, 1435023/524288], [0, 0], [4, 4], [3, 3]]]], [[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 =
u^2-v^2+2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576,
3396811/1048576], [1, 1], [915943/262144, 3663773/1048576], [-3, -3]]]], [[11,
19, 10, 8, 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], [915943/262144, 3663773/1048576], [-1655969
/1048576, -3311937/2097152]]]], [[11, 19, 10, 8, 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], [915943/262144, 3663773/1048576], [-1/4194304, -1/4194304]]]
], [[11, 19, 10, 8, 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], [915943/262144, 3663773/1048576], [
51749/32768, 1655969/1048576]]]], [[11, 19, 10, 8, 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], [915943/
262144, 3663773/1048576], [3, 3]]]], [[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 < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [5, 5], [-9, -9], [9, 9], [-6, -6]]]], [[11, 21, 3, 9,
2], [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 = -(y-x)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-9, -9], [9, 9], [-\
1112183/262144, -4448731/1048576]]]], [[11, 21, 3, 9, 3], [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, And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [5, 5], [-9, -9], [9, 9], [0, 0]]
]], [[11, 21, 3, 9, 4], [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 = (y-x)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-9
, -9], [9, 9], [4448731/1048576, 1112183/262144]]]], [[11, 21, 3, 9, 5], [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, (y-x)
^(1/2) < z], [regular_chain, [[3, 3], [5, 5], [-9, -9], [9, 9], [6, 6]]]], [[1
, 4, 7, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 12, 3, 1, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-3 < x,x <
-1), y < x-1, z = z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096]
, [-2, -2], [-4, -4], [0, 0]]]], [[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 = x, z < 0], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [133259/524288, 
133259/524288], [133259/524288, 133259/524288], [-1, -1]]]], [[1, 13, 7, 6, 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, 6, 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, 17, 11, 9, 1], [v < -2^(1/2), And(-v <
u,u < (v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [2, 2], [5, 5], [-3,
-3]]]], [[1, 17, 11, 9, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 <
x, u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [2, 2], [5, 5], [-1816187/1048576, -3632373/2097152]]]
], [[1, 17, 11, 9, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, u^
2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -\
3], [403851/131072, 403851/131072], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]
], [[1, 17, 11, 9, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, u^
2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [2, 2], [5, 5], [908093/524288, 1816187/1048576]]]], [[1, 17,
11, 9, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 <
y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072]
, [2, 2], [5, 5], [3, 3]]]], [[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(0 < y,y < x), 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 = x, z < 0], [regular_chain, [[-1482911
/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-3, -3], [-3
, -3], [-1, -1]]]], [[2, 4, 1, 2, 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, 2, 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, 7, 7, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(
u^2-3 < x,x < 0), And(x-u^2+3 < y,y < u^2+x-1), z < -(y-x)^(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, 7, 2], [v = -2^(1/2), And(-3^(1/2) <
u,u < v), And(u^2-3 < x,x < 0), And(x-u^2+3 < y,y < u^2+x-1), z = -(y-x)^(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, 7, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), And(x-
u^2+3 < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 4], [v = -2^(
1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), And(x-u^2+3 < y,y < u^2+x
-1), z = (y-x)^(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, 7, 5], [v
= -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), And(x-u^2+3 < y,y <
u^2+x-1), (y-x)^(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, 1, 7, 1], [v = -2^(1/2),
u = v, x < -1, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1482911/1048576, -741455/524288], [-2, -2], [1, 1], [-3, -3]
]]], [[2, 6, 1, 7, 2], [v = -2^(1/2), u = v, x < -1, 0 < y, z = -(y-x)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -\
741455/524288], [-2, -2], [1, 1], [-1816187/1048576, -3632373/2097152]]]], [[2
, 6, 1, 7, 3], [v = -2^(1/2), u = v, x < -1, 0 < y, And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/
1048576, -741455/524288], [-2, -2], [1, 1], [-1/4194304, -1/4194304]]]], [[2,
6, 1, 7, 4], [v = -2^(1/2), u = v, x < -1, 0 < y, z = (y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [-2, -2], [1, 1], [908093/524288, 1816187/1048576]]]], [[2, 6, 1, 7,
5], [v = -2^(1/2), u = v, x < -1, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-2, -2]
, [1, 1], [3, 3]]]], [[2, 7, 10, 1, 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], [-1, -1], [0, 0]]]], [[2, 13, 9, 7
, 1], [v = -2^(1/2), And(1 < u,u < -v), And(0 < x,x < 1), And(u^2+x-1 < y,y <
x-u^2+3), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [3/2, 3/2], [-2, -2]]
]], [[2, 13, 9, 7, 2], [v = -2^(1/2), And(1 < u,u < -v), And(0 < x,x < 1), And
(u^2+x-1 < y,y < x-u^2+3), z = -(y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [3/2
, 3/2], [-1, -1]]]], [[2, 13, 9, 7, 3], [v = -2^(1/2), And(1 < u,u < -v), And(
0 < x,x < 1), And(u^2+x-1 < y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/
2))], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 
1265743/1048576], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[2, 13, 9, 7, 4], [v = -
2^(1/2), And(1 < u,u < -v), And(0 < x,x < 1), And(u^2+x-1 < y,y < x-u^2+3), z
= (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[2, 13, 9, 7, 5
], [v = -2^(1/2), And(1 < u,u < -v), And(0 < x,x < 1), And(u^2+x-1 < y,y < x-u
^2+3), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[1265743/1048576, 1265743/1048576], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[2, 15
, 6, 6, 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], [995611
/1048576, 248903/262144], [-3, -3]]]], [[2, 15, 6, 6, 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], [995611/1048576, 248903/262144],
[-1273381/1048576, -318345/262144]]]], [[2, 15, 6, 6, 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], [995611/1048576
, 248903/262144], [0, 0]]]], [[2, 15, 6, 6, 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], [995611/1048576, 248903/262144], [318345/
262144, 1273381/1048576]]]], [[2, 15, 6, 6, 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], [995611/1048576, 248903/262144], [3, 3]]]],
[[2, 19, 7, 6, 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, 6, 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, 6, 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, 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 < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-3, -3], [7909297/2097152, 7909297/2097152], [14, 14], [-5, -5]]]], [[3, 1, 9,
9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [14, 14], [-\
104799/32768, -3353567/1048576]]]], [[3, 1, 9, 9, 3], [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, And(-(y-x)^(
1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [14, 14], [0, 0]]]], [
[3, 1, 9, 9, 4], [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 = (y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [14,
14], [3353567/1048576, 104799/32768]]]], [[3, 1, 9, 9, 5], [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, (y-x)^(1
/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [
7909297/2097152, 7909297/2097152], [14, 14], [5, 5]]]], [[3, 7, 11, 4, 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, 4, 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, 4, 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, 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
< -y^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [0
, 0], [4, 4], [-3, -3]]]], [[3, 9, 6, 7, 2], [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 = -y^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [0, 0], [4, 4],
[-2, -2]]]], [[3, 9, 6, 7, 3], [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, 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, 7, 4], [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 = y^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [0, 0], [4, 4], [2, 2]]]], [[3, 9,
6, 7, 5], [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, y^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [0, 0], [4, 4], [3, 3]]]], [[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 < -y^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [0, 0], [10, 10]
, [-5, -5]]]], [[3, 17, 6, 7, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u
, x = 0, u^2-v^2+1 < y, z = -y^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [0, 0], [10, 10], [-3315889/1048576, -207243/65536]]
]], [[3, 17, 6, 7, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 0, u^
2-v^2+1 < y, 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, 7
, 4], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 0, u^2-v^2+1 < y, z =
y^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [0, 0
], [10, 10], [207243/65536, 3315889/1048576]]]], [[3, 17, 6, 7, 5], [And(-2^(1
/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 0, u^2-v^2+1 < y, y^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [0, 0], [10, 10]
, [5, 5]]]], [[4, 1, 9, 3, 1], [v = -1, u < -3^(1/2), And(1 < x,x < u^2-2), 
And(x-u^2+2 < y,y < 0), z = z], [regular_chain, [[-1, -1], [-3, -3], [4, 4], [
-3/2, -3/2], [0, 0]]]], [[4, 7, 10, 9, 1], [v = -1, And(-1 < u,u < 0), x = 1,
-u^2+3 < y, z < -(y-1)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1]
, [4, 4], [-3, -3]]]], [[4, 7, 10, 9, 2], [v = -1, And(-1 < u,u < 0), x = 1, -
u^2+3 < y, z = -(y-1)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1],
[4, 4], [-1816187/1048576, -3632373/2097152]]]], [[4, 7, 10, 9, 3], [v = -1, 
And(-1 < u,u < 0), x = 1, -u^2+3 < y, 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, 9, 4], [v = -1, And(-1 < u,u < 0), x = 1, -u^2+3 < y,
z = (y-1)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [4, 4], [
908093/524288, 1816187/1048576]]]], [[4, 7, 10, 9, 5], [v = -1, And(-1 < u,u <
0), x = 1, -u^2+3 < y, (y-1)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1/
2], [1, 1], [4, 4], [3, 3]]]], [[4, 9, 6, 3, 1], [v = -1, And(0 < u,u < 1), x
= -u^2, And(-u^2 < y,y < 0), 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, 3, 2], [v = -1,
And(0 < u,u < 1), x = -u^2, And(-u^2 < y,y < 0), 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, 3, 3], [v = -1, And(0 < u,u < 1), x =
-u^2, And(-u^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], [-1/8, -1/8], [0, 0]]]], [
[4, 9, 6, 3, 4], [v = -1, And(0 < u,u < 1), x = -u^2, And(-u^2 < y,y < 0), 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, 3, 5], [v = -1, And(0 < u,u
< 1), x = -u^2, And(-u^2 < y,y < 0), (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, 10, 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, 10, 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, 10, 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]]]], [[4, 15, 4, 2, 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, 11, 1, 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], [-1, -1], [0, 0]]]], [[5, 7, 8, 2, 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, 2, 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, 2, 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, 2, 2, 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, 2, 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, 2, 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, 3, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 1, And(0
< y,y < 1), z = z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [1, 1], [1/2, 1/2], [0, 0]]]], [[6, 2, 5, 9, 1], [v = 0, u = -2^(1/2
), And(-1 < x,x < 0), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [4, 4], [-4, -4]]]], [[6, 2, 5
, 9, 2], [v = 0, u = -2^(1/2), And(-1 < x,x < 0), x+3 < y, z = -(y-x)^(1/2)],
[regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [4,
4], [-1112183/524288, -2224365/1048576]]]], [[6, 2, 5, 9, 3], [v = 0, u = -2^(
1/2), And(-1 < x,x < 0), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [4,
4], [0, 0]]]], [[6, 2, 5, 9, 4], [v = 0, u = -2^(1/2), And(-1 < x,x < 0), x+3
< y, z = (y-x)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/
524288], [-1/2, -1/2], [4, 4], [2224365/1048576, 1112183/524288]]]], [[6, 2, 5
, 9, 5], [v = 0, u = -2^(1/2), And(-1 < x,x < 0), x+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [4,
4], [4, 4]]]], [[6, 3, 10, 7, 1], [v = 0, And(-2^(1/2) < u,u < -1), x = 1, And
(1 < y,y < u^2+2), z < -(y-1)^(1/2)], [regular_chain, [[0, 0], [-1265743/
1048576, -1265743/1048576], [1, 1], [2336807/1048576, 2336807/1048576], [-3, -\
3]]]], [[6, 3, 10, 7, 2], [v = 0, And(-2^(1/2) < u,u < -1), x = 1, And(1 < y,y
< u^2+2), 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, 7, 3], [v = 0, And(-2^(1/2) < u,u < -\
1), x = 1, And(1 < y,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], [2336807
/1048576, 2336807/1048576], [0, 0]]]], [[6, 3, 10, 7, 4], [v = 0, And(-2^(1/2)
< u,u < -1), x = 1, And(1 < y,y < u^2+2), 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, 7, 5], [v = 0, And
(-2^(1/2) < u,u < -1), x = 1, And(1 < y,y < u^2+2), (y-1)^(1/2) < z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [1, 1], [2336807
/1048576, 2336807/1048576], [3, 3]]]], [[6, 8, 4, 5, 1], [v = 0, u = 1, x = -1
, And(0 < y,y < 1), z < -(y+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-1, -\
1], [1/2, 1/2], [-3, -3]]]], [[6, 8, 4, 5, 2], [v = 0, u = 1, x = -1, And(0 <
y,y < 1), z = -(y+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-1, -1], [1/2,
1/2], [-1284239/1048576, -642119/524288]]]], [[6, 8, 4, 5, 3], [v = 0, u = 1,
x = -1, And(0 < y,y < 1), And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(1/2)], [regular_chain,
[[0, 0], [1, 1], [-1, -1], [1/2, 1/2], [642119/524288, 1284239/1048576]]]], [[
6, 8, 4, 5, 5], [v = 0, u = 1, x = -1, And(0 < y,y < 1), (y+1)^(1/2) < z], [
regular_chain, [[0, 0], [1, 1], [-1, -1], [1/2, 1/2], [3, 3]]]], [[6, 9, 10, 4
, 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], [569265/
1048576, 284633/524288], [0, 0]]]], [[7, 4, 5, 2, 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, 2, 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, 2, 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
, 5, 10, 8, 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], [2521309/1048576, 1260655/524288], [-3, -3
]]]], [[7, 5, 10, 8, 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], [2521309/1048576, 1260655/524288],
[-19417/16384, -1242687/1048576]]]], [[7, 5, 10, 8, 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], [2521309/1048576, 1260655/524288], [0, 0]]]], [[7, 5
, 10, 8, 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], [2521309/1048576, 1260655/524288], [1242687/
1048576, 19417/16384]]]], [[7, 5, 10, 8, 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], [2521309/1048576,
1260655/524288], [3, 3]]]], [[8, 1, 1, 6, 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, 6, 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, 6, 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,
6, 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, 6, 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, 7, 1], [v = 1, u = -3^(1/2), And(-3
< x,x < -1), And(0 < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [
-1816187/1048576, -3632373/2097152], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[8, 2
, 3, 7, 2], [v = 1, u = -3^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), z =
-(y-x)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152],
[-2, -2], [1/2, 1/2], [-3315889/2097152, -207243/131072]]]], [[8, 2, 3, 7, 3],
[v = 1, u = -3^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/
2097152], [-2, -2], [1/2, 1/2], [0, 0]]]], [[8, 2, 3, 7, 4], [v = 1, u = -3^(1
/2), And(-3 < x,x < -1), And(0 < y,y < x+3), z = (y-x)^(1/2)], [regular_chain,
[[1, 1], [-1816187/1048576, -3632373/2097152], [-2, -2], [1/2, 1/2], [207243/
131072, 1657945/1048576]]]], [[8, 2, 3, 7, 5], [v = 1, u = -3^(1/2), And(-3 <
x,x < -1), And(0 < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [-2, -2], [1/2, 1/2], [3, 3]]]], [[8, 8, 6
, 5, 1], [v = 1, u = 0, x = 0, 2 < y, z < -y^(1/2)], [regular_chain, [[1, 1],
[0, 0], [0, 0], [3, 3], [-3, -3]]]], [[8, 8, 6, 5, 2], [v = 1, u = 0, x = 0, 2
< y, z = -y^(1/2)], [regular_chain, [[1, 1], [0, 0], [0, 0], [3, 3], [-1816187
/1048576, -3632373/2097152]]]], [[8, 8, 6, 5, 3], [v = 1, u = 0, x = 0, 2 < y,
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, 5, 4], [v = 1, u = 0, x = 0, 2 < y,
z = y^(1/2)], [regular_chain, [[1, 1], [0, 0], [0, 0], [3, 3], [908093/524288,
1816187/1048576]]]], [[8, 8, 6, 5, 5], [v = 1, u = 0, x = 0, 2 < y, y^(1/2) <
z], [regular_chain, [[1, 1], [0, 0], [0, 0], [3, 3], [3, 3]]]], [[8, 9, 11, 5,
1], [v = 1, And(0 < u,u < 1), 1 < x, And(x < y,y < u^2+x), z < -(y-x)^(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(x < y,y < u^2+x), z = -(y-x)
^(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(x < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2+x), z = (y-x)^(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(x < y,y < u^2+x), (y-x)^(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-1 < y,y < x), z = z], [regular_chain, [[1, 1], [908093/
524288, 1816187/1048576], [-1/2, -1/2], [-1, -1], [0, 0]]]], [[8, 15, 9, 4, 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, 7, 1, 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], [-1, -1], [0,
0]]]], [[9, 8, 2, 4, 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, 4,
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, 4, 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,
4, 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, 4, 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, 8, 9, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 < 2*u^
2-2*v^2), z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [6860721/1048576, 3430361/524288], [5669829/524288,
5669829/524288], [-4, -4]]]], [[9, 17, 10, 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^2-1 < y,y < 2*u^2-2*v^2), z = -(y-u^2
+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [
6860721/1048576, 3430361/524288], [5669829/524288, 5669829/524288], [-2167143/
1048576, -1083571/524288]]]], [[9, 17, 10, 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^2-1 < y,y < 2*u^2-2*v^2), And(-(y-u^2
+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/1048576
, 1265743/1048576], [3, 3], [6860721/1048576, 3430361/524288], [5669829/524288
, 5669829/524288], [0, 0]]]], [[9, 17, 10, 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^2-1 < y,y < 2*u^2-2*v^2), z = (y-u^2+
v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [
6860721/1048576, 3430361/524288], [5669829/524288, 5669829/524288], [1083571/
524288, 2167143/1048576]]]], [[9, 17, 10, 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^2-1 < y,y < 2*u^2-2*v^2), (y-u^2+v^2+1
)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [
6860721/1048576, 3430361/524288], [5669829/524288, 5669829/524288], [4, 4]]]],
[[10, 4, 9, 7, 1], [v = 2^(1/2), u = -3^(1/2), 1 < x, x+2 < y, z < -(y-x)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -\
3632373/2097152], [2, 2], [5, 5], [-3, -3]]]], [[10, 4, 9, 7, 2], [v = 2^(1/2)
, u = -3^(1/2), 1 < x, x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [2, 2], [5, 5]
, [-1816187/1048576, -3632373/2097152]]]], [[10, 4, 9, 7, 3], [v = 2^(1/2), u
= -3^(1/2), 1 < x, x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[10, 4, 9, 7, 4], [v =
2^(1/2), u = -3^(1/2), 1 < x, x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [2, 2],
[5, 5], [908093/524288, 1816187/1048576]]]], [[10, 4, 9, 7, 5], [v = 2^(1/2),
u = -3^(1/2), 1 < x, x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [2, 2], [5, 5]
, [3, 3]]]], [[10, 6, 3, 5, 1], [v = 2^(1/2), u = -v, And(-1 < x,x < 0), And(0
< y,y < x+1), z < -(y-x)^(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+1), z = -(y-x)^(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, 5, 3], [v = 2^(1/2), u = -v, And(-1
< x,x < 0), And(0 < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 5,
4], [v = 2^(1/2), u = -v, And(-1 < x,x < 0), And(0 < y,y < x+1), z = (y-x)^(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, 5, 5], [v = 2^(1/2), u = -v, And(-1 < x,x < 0), And(0 < y,y < x+1)
, (y-x)^(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+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, 6, 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, 6, 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, 6, 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, 6, 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, 8, 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], [2666417/1048576
, 1333209/524288], [-3, -3]]]], [[10, 13, 10, 8, 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], [2666417/
1048576, 1333209/524288], [-1302471/1048576, -651235/524288]]]], [[10, 13, 10,
8, 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], [2666417/1048576, 1333209/524288],
[0, 0]]]], [[10, 13, 10, 8, 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], [2666417/1048576, 1333209/524288],
[651235/524288, 1302471/1048576]]]], [[10, 13, 10, 8, 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], [2666417
/1048576, 1333209/524288], [3, 3]]]], [[11, 2, 7, 3, 1], [2^(1/2) < v, u = -(v
^2+2)^(1/2), And(0 < x,x < 1), And(x-1 < y,y < 0), z = z], [regular_chain, [[3
, 3], [-1738867/524288, -3477733/1048576], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]]
, [[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-u^2+v^2+1, z = z], [regular_chain, [[3, 3], [-3396811/1048576,
-3396811/1048576], [2, 2], [1579107/1048576, 394777/262144], [0, 0]]]], [[11,
10, 4, 3, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -1, And(-2 < y,y < -1), z
= z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-1, -1],
[-3/2, -3/2], [0, 0]]]], [[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 = 0, z = z], [regular_chain, [[3, 3], [0, 0],
[1, 1], [0, 0], [0, 0]]]], [[11, 15, 9, 6, 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], [
1040859/1048576, 260215/262144], [-2, -2]]]], [[11, 15, 9, 6, 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], [1040859/1048576, 260215/262144], [-735979/1048576, -1471957/2097152]
]]], [[11, 15, 9, 6, 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], [
1040859/1048576, 260215/262144], [-1/4194304, -1/4194304]]]], [[11, 15, 9, 6,
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], [1040859/1048576, 260215/262144], [367989/524288
, 735979/1048576]]]], [[11, 15, 9, 6, 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], [
1040859/1048576, 260215/262144], [2, 2]]]], [[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 < u^2-v^2-1, z = z], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-531193/1048576, -\
1062385/2097152], [-2, -2], [0, 0]]]], [[1, 4, 9, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 = 0, z < -3^(1/2)], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [-3, -3], [0, 0], [-3, -3]]]], [[1, 12, 2, 6, 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, 6, 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, 6, 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, 6, 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, 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 < -y
^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [0, 0],
[4, 4], [-3, -3]]]], [[1, 13, 6, 7, 2], [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 = -y^(1/2)], [regular_chain, [[-3,
-3], [1435023/524288, 1435023/524288], [0, 0], [4, 4], [-2, -2]]]], [[1, 13, 6
, 7, 3], [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, 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, 7, 4], [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 =
y^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [0, 0],
[4, 4], [2, 2]]]], [[1, 13, 6, 7, 5], [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, y^(1/2) < z], [regular_chain, [[-3, -3]
, [1435023/524288, 1435023/524288], [0, 0], [4, 4], [3, 3]]]], [[1, 18, 3, 2,
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, 2, 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, 2, 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, 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 = 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], [391655/131072, 3133241/1048576], [-3, -3]]]], [[1, 19, 8, 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
= 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], [391655/131072, 
3133241/1048576], [-1655969/1048576, -3311937/2097152]]]], [[1, 19, 8, 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 = 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]
, [391655/131072, 3133241/1048576], [-1/4194304, -1/4194304]]]], [[1, 19, 8, 6
, 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], [391655/131072, 
3133241/1048576], [51749/32768, 1655969/1048576]]]], [[1, 19, 8, 6, 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], [391655/131072, 3133241/
1048576], [3, 3]]]], [[2, 3, 11, 9, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)
), 1 < x, u^2+x-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-3913339/2097152, -3913339/2097152], [2, 2], [6, 6], [-3, -3
]]]], [[2, 3, 11, 9, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, u^2+x
-1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-3913339/2097152, -3913339/2097152], [2, 2], [6, 6], [-2, -2]]]], [[2, 3, 
11, 9, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, u^2+x-1 < y, And(-(
y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [2, 2], [6, 6], [0, 0]]]], [[2,
3, 11, 9, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, u^2+x-1 < y, z =
(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [2, 2], [6, 6], [2, 2]]]], [[2, 3, 11, 9, 5], [v =
-2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, u^2+x-1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [2, 2], [6, 6], [3, 3]]]], [[2, 5, 7, 1, 1], [v = -2^(1/2),
And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), y < x, z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
1101539/4194304, -1101539/4194304], [-2, -2], [0, 0]]]], [[2, 6, 3, 1, 1], [v
= -2^(1/2), u = v, And(-1 < x,x < 0), y < x, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-1/2, -\
1/2], [-2, -2], [0, 0]]]], [[2, 7, 10, 3, 1], [v = -2^(1/2), And(v < u,u < -1)
, x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[-1482911/1048576, -741455
/524288], [-1265743/1048576, -1265743/1048576], [1, 1], [1/2, 1/2], [0, 0]]]],
[[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], [239655/524288, 479311/1048576], [-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], [239655/524288, 479311/1048576], [-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], [239655/524288, 479311/1048576], [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], [239655/524288, 479311/1048576], [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], [239655/524288, 479311/1048576], [
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 < x, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-3198693/4194304, -3198693/
4194304], [-2, -2], [0, 0]]]], [[2, 19, 8, 3, 1], [v = -2^(1/2), 2 < u, x = 1,
And(-u^2+4 < y,y < 0), z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [1, 1], [-5/2, -5/2], [0, 0]]]], [[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 = 0, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [6860721/
1048576, 3430361/524288], [0, 0], [0, 0]]]], [[3, 7, 10, 3, 1], [And(-2^(1/2)
< v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 1, And(0 < y,y < 1), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1, 1], [1/2, 1/2], [0, 0]]]], [[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 = z], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [0, 0], [-1/2, -1/2], [-4014395/4194304, -16057579/16777216], [0, 0]]]], [[3
, 17, 8, 5, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 1, And(0 < y
,y < 1), 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(u^2+1 < y,y < -u^2+3), z < -(y-1)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [2, 2], [-2, -2]]]], [[4, 7, 
10, 7, 2], [v = -1, And(-1 < u,u < 0), x = 1, And(u^2+1 < y,y < -u^2+3), z = -
(y-1)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [2, 2], [-1, -1
]]]], [[4, 7, 10, 7, 3], [v = -1, And(-1 < u,u < 0), 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], [-\
1/2, -1/2], [1, 1], [2, 2], [0, 0]]]], [[4, 7, 10, 7, 4], [v = -1, And(-1 < u,
u < 0), x = 1, And(u^2+1 < y,y < -u^2+3), z = (y-1)^(1/2)], [regular_chain, [[
-1, -1], [-1/2, -1/2], [1, 1], [2, 2], [1, 1]]]], [[4, 7, 10, 7, 5], [v = -1,
And(-1 < u,u < 0), x = 1, And(u^2+1 < y,y < -u^2+3), (y-1)^(1/2) < z], [
regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [2, 2], [2, 2]]]], [[4, 9, 5,
6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 14, 1, 2, 1], [v = -1, u = 3^(1/2), x
< -3, y = x-1, z = z], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [-4, -4], [-5, -5], [0, 0]]]], [[4, 15, 5, 3, 1], [v = -1, 3^(1/2) <
u, And(-1 < x,x < 0), And(x-u^2+2 < y,y < x), z = z], [regular_chain, [[-1, -1
], [3, 3], [-1/2, -1/2], [-4, -4], [0, 0]]]], [[5, 5, 10, 8, 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], [2521309/1048576, 1260655/524288], [-3, -3]]]], [[5, 5, 10, 8, 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], [2521309/1048576, 1260655/524288], [-19417/16384, -1242687/1048576]
]]], [[5, 5, 10, 8, 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], [
2521309/1048576, 1260655/524288], [0, 0]]]], [[5, 5, 10, 8, 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], [2521309/1048576, 1260655/524288], [1242687/1048576, 19417/16384]]]], [[5,
5, 10, 8, 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], [2521309/1048576, 1260655/524288], [3, 3]]
]], [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(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(0 < y,y <
u^2-v^2+x+1), z = -(y-x)^(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(0 < y,y < u^2-v^2+x+1), And(
-(y-x)^(1/2) < z,z < (y-x)^(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(0 < y,y < u^2-v^2+x+1), z = (y-x
)^(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(0 < y,y < u^2-v^2+x+1), (y-x)^(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(x < y,y <
0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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, 3, 3
], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 0), And(x < y,y < 0), And(-(y-x)
^(1/2) < z,z < (y-x)^(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, 3, 4], [And(-1 < v,v < 0), u = -v
, And(-1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(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, 3,
5], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(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(1 < y,y < -u^2+v^2+2), z < -(y-1)^(1/2)], [regular_chain, [[-1
/2, -1/2], [1696631/2097152, 1696631/2097152], [1, 1], [1360785/1048576, 
1360785/1048576], [-2, -2]]]], [[5, 9, 10, 5, 2], [And(-1 < v,v < 0), And(-v <
u,u < (v^2+1)^(1/2)), x = 1, And(1 < y,y < -u^2+v^2+2), z = -(y-1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [1, 1], [
1360785/1048576, 1360785/1048576], [-572167/1048576, -1144333/2097152]]]], [[5
, 9, 10, 5, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 1, And(
1 < 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], [1360785/1048576, 
1360785/1048576], [-1/4194304, -1/4194304]]]], [[5, 9, 10, 5, 4], [And(-1 < v,
v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 1, And(1 < y,y < -u^2+v^2+2), z = (
y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152]
, [1, 1], [1360785/1048576, 1360785/1048576], [286083/524288, 572167/1048576]]
]], [[5, 9, 10, 5, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x =
1, And(1 < y,y < -u^2+v^2+2), (y-1)^(1/2) < z], [regular_chain, [[-1/2, -1/2],
[1696631/2097152, 1696631/2097152], [1, 1], [1360785/1048576, 1360785/1048576]
, [2, 2]]]], [[6, 2, 4, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 3, 9, 2, 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, 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 = 1, z < 0], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576],
[1, 1], [1, 1], [-1, -1]]]], [[6, 9, 10, 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, 10, 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]]]], [[7, 4, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 9, 3, 1], [And(
0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(0 < y,y <
x), 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, 7, 1], [v = 1, u < -3^(1/2), x =
-u^2, 0 < y, z < -(u^2+y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-9, -9],
[1, 1], [-5, -5]]]], [[8, 1, 2, 7, 2], [v = 1, u < -3^(1/2), x = -u^2, 0 < y,
z = -(u^2+y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-9, -9], [1, 1], [-\
3315889/1048576, -207243/65536]]]], [[8, 1, 2, 7, 3], [v = 1, u < -3^(1/2), x
= -u^2, 0 < y, 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, 7, 4], [v = 1, u < -3^
(1/2), x = -u^2, 0 < y, z = (u^2+y)^(1/2)], [regular_chain, [[1, 1], [-3, -3],
[-9, -9], [1, 1], [207243/65536, 3315889/1048576]]]], [[8, 1, 2, 7, 5], [v = 1
, u < -3^(1/2), x = -u^2, 0 < y, (u^2+y)^(1/2) < z], [regular_chain, [[1, 1],
[-3, -3], [-9, -9], [1, 1], [5, 5]]]], [[8, 2, 5, 3, 1], [v = 1, u = -3^(1/2),
And(-1 < x,x < 0), And(x-1 < y,y < x), z = z], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [-1/2, -1/2], [-1, -1], [0, 0]]]], [[8, 8,
5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 11, 3, 1], [v = 1, And(0 < u,u < 1), 1 <
x, And(0 < y,y < x), z = z], [regular_chain, [[1, 1], [1/2, 1/2], [2, 2], [1,
1], [0, 0]]]], [[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 = 0, z = z], [
regular_chain, [[1, 1], [3, 3], [8, 8], [0, 0], [0, 0]]]], [[9, 6, 6, 2, 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, 2, 2, 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, 2, 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, 2, 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, 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 < u^2-v^2+x+1, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-4, -4], [-6, -6]
, [0, 0]]]], [[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 < -(y+1)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [354469/524288, 708939/1048576], [-1, -1], [-1/2, -1/2], [-2
, -2]]]], [[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 = -(y+1)^(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, 3, 3], [And(1 < v,v < 2^(1/2
)), u = (v^2-1)^(1/2), x = -1, And(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+
1)^(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 = (y+
1)^(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, 3, 5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -1, And(-1 <
y,y < 0), (y+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576
], [354469/524288, 708939/1048576], [-1, -1], [-1/2, -1/2], [2, 2]]]], [[9, 16
, 4, 8, 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, 8, 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, 8, 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, 8
, 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, 8
, 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]]]], [[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 = 0, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [7909297/2097152,
7909297/2097152], [0, 0], [0, 0]]]], [[10, 5, 1, 2, 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, 2, 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,
2, 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, 4, 4, 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, 4
, 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, 4, 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, 4, 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,
4, 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, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 13, 9, 7, 1], [v
= 2^(1/2), And(1 < u,u < v), And(0 < x,x < 1), And(u^2+x-1 < y,y < x-u^2+3), z
< -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[10, 13, 9, 7
, 2], [v = 2^(1/2), And(1 < u,u < v), And(0 < x,x < 1), And(u^2+x-1 < y,y < x-
u^2+3), z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[1265743/1048576, 1265743/1048576], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]], [[10,
13, 9, 7, 3], [v = 2^(1/2), And(1 < u,u < v), And(0 < x,x < 1), And(u^2+x-1 <
y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2
], [3/2, 3/2], [0, 0]]]], [[10, 13, 9, 7, 4], [v = 2^(1/2), And(1 < u,u < v),
And(0 < x,x < 1), And(u^2+x-1 < y,y < x-u^2+3), z = (y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[10, 13, 9, 7, 5], [v = 2^(1/2),
And(1 < u,u < v), And(0 < x,x < 1), And(u^2+x-1 < y,y < x-u^2+3), (y-x)^(1/2)
< z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[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 = -2,
z < 0], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-2, -2],
[-2, -2], [-1, -1]]]], [[11, 4, 2, 2, 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, 2, 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, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 = z], [regular_chain, [[3, 3], [0, 0], [1, 1], [-7, -7], [0,
0]]]], [[11, 15, 10, 7, 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,
7, 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, 7, 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, 7, 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, 7, 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, 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 = 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],
[1300363/1048576, 325091/262144], [-3, -3]]]], [[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 = 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], [1300363/1048576, 325091/262144], [-\
1281417/1048576, -160177/131072]]]], [[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 = u^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], [1300363/1048576, 
325091/262144], [0, 0]]]], [[11, 17, 7, 8, 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], [1300363/1048576, 325091/262144], [160177/131072, 1281417/
1048576]]]], [[11, 17, 7, 8, 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], [1300363/1048576, 325091/262144], [3, 3]]]], [[1, 1, 4, 2, 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, 2, 6
, 1, 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], [-2, -2
], [0, 0]]]], [[1, 8, 7, 5, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(0 < x,x
< 1), And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[1,
8, 7, 5, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(x < y,y
< x+2), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]], [[1, 8, 7, 5, 3], [v <
-2^(1/2), u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), And(-(y-x)
^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[1, 8, 7, 5, 4], [v < -
2^(1/2), u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z = (y-x)^(
1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [1/2,
1/2], [3/2, 3/2], [1, 1]]]], [[1, 8, 7, 5, 5], [v < -2^(1/2), u = -(v^2-1)^(1/
2), And(0 < x,x < 1), And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[
-3, -3], [-2965821/1048576, -11863283/4194304], [1/2, 1/2], [3/2, 3/2], [2, 2]
]]], [[1, 10, 1, 1, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x < -3, y < x-1, z
= z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-4, -4
], [-6, -6], [0, 0]]]], [[1, 14, 2, 5, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x
= -2, 0 < y, z < -(y+2)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 
2965821/1048576], [-2, -2], [1, 1], [-3, -3]]]], [[1, 14, 2, 5, 2], [v < -2^(1
/2), u = (v^2-1)^(1/2), x = -2, 0 < y, z = -(y+2)^(1/2)], [regular_chain, [[-3
, -3], [741455/262144, 2965821/1048576], [-2, -2], [1, 1], [-1816187/1048576,
-3632373/2097152]]]], [[1, 14, 2, 5, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), x =
-2, 0 < y, And(-(y+2)^(1/2) < z,z < (y+2)^(1/2))], [regular_chain, [[-3, -3],
[741455/262144, 2965821/1048576], [-2, -2], [1, 1], [-1/4194304, -1/4194304]]]
], [[1, 14, 2, 5, 4], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -2, 0 < y, z = (y+
2)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-2, -\
2], [1, 1], [908093/524288, 1816187/1048576]]]], [[1, 14, 2, 5, 5], [v < -2^(1
/2), u = (v^2-1)^(1/2), x = -2, 0 < y, (y+2)^(1/2) < z], [regular_chain, [[-3,
-3], [741455/262144, 2965821/1048576], [-2, -2], [1, 1], [3, 3]]]], [[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], [516571/1048576, 129143/262144], [-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], [516571/1048576, 129143/262144], [-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], [516571/
1048576, 129143/262144], [-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]
, [516571/1048576, 129143/262144], [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], [516571/1048576, 129143/262144], [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 < 0), z = z]
, [regular_chain, [[-3, -3], [5, 5], [1, 1], [-7, -7], [0, 0]]]], [[2, 1, 10,
2, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = -2^(1/2)
, And(0 < u,u < 1), x = 0, -u^2+3 < y, z < -y^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1/2, 1/2], [0, 0], [4, 4], [-3, -3]]]], [[2
, 11, 6, 7, 2], [v = -2^(1/2), And(0 < u,u < 1), x = 0, -u^2+3 < y, z = -y^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [0, 0],
[4, 4], [-2, -2]]]], [[2, 11, 6, 7, 3], [v = -2^(1/2), And(0 < u,u < 1), x = 0
, -u^2+3 < y, 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, 7
, 4], [v = -2^(1/2), And(0 < u,u < 1), x = 0, -u^2+3 < y, z = y^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [0, 0], [4, 4]
, [2, 2]]]], [[2, 11, 6, 7, 5], [v = -2^(1/2), And(0 < u,u < 1), x = 0, -u^2+3
< y, y^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2,
1/2], [0, 0], [4, 4], [3, 3]]]], [[2, 17, 8, 6, 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], [1554043/524288, 3108087/1048576], [-3, -3]]]], [[2,
17, 8, 6, 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], [1554043/
524288, 3108087/1048576], [-825991/524288, -3303963/2097152]]]], [[2, 17, 8, 6
, 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],
[1554043/524288, 3108087/1048576], [-1/4194304, -1/4194304]]]], [[2, 17, 8, 6,
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], [1554043/524288, 3108087/
1048576], [1651981/1048576, 825991/524288]]]], [[2, 17, 8, 6, 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], [1554043/524288, 3108087/1048576],
[3, 3]]]], [[2, 19, 1, 7, 1], [v = -2^(1/2), 2 < u, x < -u^2+1, And(u^2+x-1 <
y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [-9, -9], [-1/2, -1/2], [-4, -4]]]], [[2, 19, 1, 7, 2], [v =
-2^(1/2), 2 < u, x < -u^2+1, And(u^2+x-1 < y,y < 0), z = -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-9, -9], [-1/2, -\
1/2], [-24456785/8388608, -1528549/524288]]]], [[2, 19, 1, 7, 3], [v = -2^(1/2
), 2 < u, x < -u^2+1, And(u^2+x-1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-9, -9],
[-1/2, -1/2], [0, 0]]]], [[2, 19, 1, 7, 4], [v = -2^(1/2), 2 < u, x < -u^2+1,
And(u^2+x-1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [3, 3], [-9, -9], [-1/2, -1/2], [1528549/524288, 3057099/
1048576]]]], [[2, 19, 1, 7, 5], [v = -2^(1/2), 2 < u, x < -u^2+1, And(u^2+x-1
< y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [-9, -9], [-1/2, -1/2], [4, 4]]]], [[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, u^2-v^2
+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-14373233/8388608, -14373233/8388608], [2, 2], [6, 6], [-3, -3]]]],
[[3, 3, 11, 9, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2
+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [2
, 2], [6, 6], [-2, -2]]]], [[3, 3, 11, 9, 3], [And(-2^(1/2) < v,v < -1), And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, And(-(y-x)^(1/2
) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-14373233/8388608, -14373233/8388608], [2, 2], [6, 6], [0, 0]]]], [[3, 3, 
11, 9, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2
)), 1 < x, u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [2, 2], [6
, 6], [2, 2]]]], [[3, 3, 11, 9, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1
/2) < u,u < -(v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [2, 2], [6, 6], [3, 3]]]], [[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 < x, z
= z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304
, -5818805/4194304], [-558339/2097152, -558339/2097152], [-2, -2], [0, 0]]]],
[[3, 11, 8, 7, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x
= 0, -u^2+v^2+1 < y, z < -y^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [0, 0], [3, 3], [-3, -3]]]
], [[3, 11, 8, 7, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v)
, x = 0, -u^2+v^2+1 < y, 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, 7, 3], [And(-2^(1/2) < v,v < -1), 
And((v^2-1)^(1/2) < u,u < -v), x = 0, -u^2+v^2+1 < y, 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, 7,
4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 0, -u^2+v^2+
1 < y, 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, 7, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) <
u,u < -v), x = 0, -u^2+v^2+1 < y, y^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [0, 0], [3, 3],
[3, 3]]]], [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3213833/4194304, -3213833/4194304], [-245119/1048576, -\
122559/524288], [-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 = x-u^2+v^2+1, z = -(
-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [-\
245119/1048576, -122559/524288], [-765155/1048576, -1530309/2097152]]]], [[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 = x-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], [-3213833/4194304, -3213833/4194304], [-245119/
1048576, -122559/524288], [-1/4194304, -1/4194304]]]], [[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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/
4194304, -3213833/4194304], [-245119/1048576, -122559/524288], [382577/524288,
765155/1048576]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/
2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [-245119/
1048576, -122559/524288], [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 = 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], [3635963/1048576, 908991/262144], [-3, -3]]]], [[3
, 13, 11, 8, 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], [
3635963/1048576, 908991/262144], [-1270261/1048576, -317565/262144]]]], [[3, 
13, 11, 8, 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], [3635963/1048576, 908991/262144], [0, 0]]]], [[3, 13
, 11, 8, 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], [3635963/1048576
, 908991/262144], [317565/262144, 1270261/1048576]]]], [[3, 13, 11, 8, 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], [3635963/1048576, 908991
/262144], [3, 3]]]], [[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 < -y^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [0, 0], [4, 4], [-3, -3]]]], [[3, 15, 6, 7, 2], [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 = -y^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 
898327/524288], [0, 0], [4, 4], [-2, -2]]]], [[3, 15, 6, 7, 3], [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, 
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, 7, 4], [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 = y^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [0, 0], [4, 4], [2, 2]]]], [
[3, 15, 6, 7, 5], [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, y^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [0, 0], [4, 4], [3
, 3]]]], [[4, 3, 10, 5, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1, 
And(-u^2+3 < y,y < 1), 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 = x-u^2+
2, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-3235683/4194304, -3235683/4194304], [-29957/131072, -\
239655/1048576], [-2, -2]]]], [[4, 5, 5, 4, 2], [v = -1, And(-2^(1/2) < u,u <
-1), And(-1 < x,x < u^2-2), y = x-u^2+2, z = -(-u^2+2)^(1/2)], [regular_chain,
[[-1, -1], [-1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/
4194304], [-29957/131072, -239655/1048576], [-772605/1048576, -1545209/2097152
]]]], [[4, 5, 5, 4, 3], [v = -1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-\
2), y = x-u^2+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], [-29957/131072, -239655/1048576], [-1/4194304, -1/4194304]]]], [[4,
5, 5, 4, 4], [v = -1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y = x-u
^2+2, z = (-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-3235683/4194304, -3235683/4194304], [-29957/131072, -\
239655/1048576], [193151/262144, 772605/1048576]]]], [[4, 5, 5, 4, 5], [v = -1
, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y = x-u^2+2, (-u^2+2)^(1/2)
< z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-\
3235683/4194304, -3235683/4194304], [-29957/131072, -239655/1048576], [2, 2]]]
], [[4, 9, 11, 9, 1], [v = -1, And(0 < u,u < 1), 1 < x, x-u^2+2 < y, z < -(y-x
)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [5, 5], [-3, -3]]]],
[[4, 9, 11, 9, 2], [v = -1, And(0 < u,u < 1), 1 < x, x-u^2+2 < y, z = -(y-x)^(
1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [5, 5], [-1816187/
1048576, -3632373/2097152]]]], [[4, 9, 11, 9, 3], [v = -1, And(0 < u,u < 1), 1
< x, x-u^2+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1
, -1], [1/2, 1/2], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[4, 9, 11, 9,
4], [v = -1, And(0 < u,u < 1), 1 < x, x-u^2+2 < y, z = (y-x)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [5, 5], [908093/524288, 1816187/
1048576]]]], [[4, 9, 11, 9, 5], [v = -1, And(0 < u,u < 1), 1 < x, x-u^2+2 < y,
(y-x)^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [5, 5], [3, 3
]]]], [[4, 11, 8, 6, 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], [
763943/524288, 1527887/1048576], [-3, -3]]]], [[4, 11, 8, 6, 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], [763943/524288, 1527887/1048576], [
-1265743/1048576, -1265743/1048576]]]], [[4, 11, 8, 6, 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], [763943/524288, 1527887/1048576], [
0, 0]]]], [[4, 11, 8, 6, 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],
[763943/524288, 1527887/1048576], [1265743/1048576, 1265743/1048576]]]], [[4,
11, 8, 6, 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], [763943/
524288, 1527887/1048576], [3, 3]]]], [[5, 2, 3, 2, 1], [And(-1 < v,v < 0), u =
-(v^2+2)^(1/2), And(-3 < x,x < -1), y = x-1, z = z], [regular_chain, [[-1/2, -\
1/2], [-3/2, -3/2], [-2, -2], [-3, -3], [0, 0]]]], [[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(x-u^2+v^2+1 < 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, 3, 1, 1], [And(-1 < v,v < 0), u = (v^2+2)
^(1/2), And(-3 < x,x < -1), y < x-1, z = z], [regular_chain, [[-1/2, -1/2], [3
/2, 3/2], [-2, -2], [-4, -4], [0, 0]]]], [[5, 13, 7, 2, 1], [And(-1 < v,v < 0)
, (v^2+2)^(1/2) < u, And(0 < x,x < 1), y = x-u^2+v^2+1, z = z], [regular_chain
, [[-1/2, -1/2], [3, 3], [1/2, 1/2], [-29/4, -29/4], [0, 0]]]], [[6, 6, 1, 5,
1], [v = 0, u = 0, x < -1, And(x+1 < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[0, 0], [0, 0], [-2, -2], [-1/2, -1/2], [-3, -3]]]], [[6, 6, 1
, 5, 2], [v = 0, u = 0, x < -1, And(x+1 < y,y < 0), z = -(y-x)^(1/2)], [
regular_chain, [[0, 0], [0, 0], [-2, -2], [-1/2, -1/2], [-1284239/1048576, -\
642119/524288]]]], [[6, 6, 1, 5, 3], [v = 0, u = 0, x < -1, And(x+1 < y,y < 0)
, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [0, 0], [-2
, -2], [-1/2, -1/2], [0, 0]]]], [[6, 6, 1, 5, 4], [v = 0, u = 0, x < -1, And(x
+1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [0, 0], [-2, -2], [-\
1/2, -1/2], [642119/524288, 1284239/1048576]]]], [[6, 6, 1, 5, 5], [v = 0, u =
0, x < -1, And(x+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[0, 0], [0,
0], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[6, 7, 9, 4, 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, 4, 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, 4, 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]]]], [[7, 1, 1, 2, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x
< -u^2+v^2-1, y = x-u^2+v^2+1, z = z], [regular_chain, [[1/2, 1/2], [-3, -3],
[-11, -11], [-75/4, -75/4], [0, 0]]]], [[7, 2, 3, 3, 1], [And(0 < v,v < 1), u
= -(v^2+2)^(1/2), And(-3 < x,x < -1), And(x-1 < y,y < x), z = z], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-2, -2], [-5/2, -5/2], [0, 0]]]], [
[7, 8, 4, 1, 1], [And(0 < v,v < 1), u = v, x = 0, y < 0, z = z], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [-1, -1], [0, 0]]]], [[7, 9, 
11, 1, 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], [
-1, -1], [0, 0]]]], [[7, 10, 7, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 < 0, z = z], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [2, 2], [-1, -1]
, [0, 0]]]], [[8, 10, 7, 7, 1], [v = 1, u = 1, 1 < x, x+1 < y, z < -(y-x)^(1/2
)], [regular_chain, [[1, 1], [1, 1], [2, 2], [4, 4], [-3, -3]]]], [[8, 10, 7,
7, 2], [v = 1, u = 1, 1 < x, x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[1,
1], [1, 1], [2, 2], [4, 4], [-1482911/1048576, -741455/524288]]]], [[8, 10, 7,
7, 3], [v = 1, u = 1, 1 < x, x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[1, 1], [1, 1], [2, 2], [4, 4], [0, 0]]]], [[8, 10, 7, 7, 4],
[v = 1, u = 1, 1 < x, x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [1,
1], [2, 2], [4, 4], [741455/524288, 1482911/1048576]]]], [[8, 10, 7, 7, 5], [v
= 1, u = 1, 1 < x, x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [1, 1],
[2, 2], [4, 4], [3, 3]]]], [[8, 12, 4, 2, 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, 2, 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, 2, 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, 2, 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, 1,
7, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x < -2, 0 < y, z < -(y-x)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144,
-3287319/2097152], [-3, -3], [1, 1], [-3, -3]]]], [[9, 4, 1, 7, 2], [And(1 < v
,v < 2^(1/2)), u = -(v^2+1)^(1/2), x < -2, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [-3, -3], [1, 1], [-2, -2]]]], [[9, 4, 1, 7, 3], [And(1 < v,v < 2^(1
/2)), u = -(v^2+1)^(1/2), x < -2, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -\
3287319/2097152], [-3, -3], [1, 1], [0, 0]]]], [[9, 4, 1, 7, 4], [And(1 < v,v
< 2^(1/2)), u = -(v^2+1)^(1/2), x < -2, 0 < y, z = (y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [-3, -3], [1, 1], [2, 2]]]], [[9, 4, 1, 7, 5], [And(1 < v,v < 2^(1/2
)), u = -(v^2+1)^(1/2), x < -2, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3
], [1, 1], [3, 3]]]], [[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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3, -3], [-1433279/524288, -1433279/524288], [-2, -2]]]], [
[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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(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, 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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3, -3], [-1433279/524288, -1433279/524288], [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(x < y,y < x-u^2+v^2+1), z = (y-x)^(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, 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(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3
], [-1433279/524288, -1433279/524288], [2, 2]]]], [[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 < -(y+1)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 
410915/262144], [-1, -1], [1/2, 1/2], [-3, -3]]]], [[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 = -(y+1)^(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, 5, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -1, And(0 <
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], [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 = (y+1)^(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, 5, 5], [And(1 < v,v < 2^(1/2))
, u = (v^2+1)^(1/2), x = -1, And(0 < y,y < 1), (y+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-1, -1], [1/2, 1/2], [3, 3]]]], [[10, 2, 8, 5, 1], [v = 2^(1/2), u =
-2, x = 1, And(1 < y,y < 4), z < -(y-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [1, 1], [5/2, 5/2], [-3, -3]]]], [[10, 2,
8, 5, 2], [v = 2^(1/2), u = -2, x = 1, And(1 < y,y < 4), 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, 5, 3], [v = 2^(1/2), u =
-2, x = 1, And(1 < y,y < 4), 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, 5, 4], [v = 2^(1/2), u = -2, x = 1, And(1 < y,y < 4),
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, 5, 5], [v
= 2^(1/2), u = -2, x = 1, And(1 < y,y < 4), (y-1)^(1/2) < z], [regular_chain,
[[741455/524288, 1482911/1048576], [-2, -2], [1, 1], [5/2, 5/2], [3, 3]]]], [[
10, 4, 2, 3, 1], [v = 2^(1/2), u = -3^(1/2), x = -2, And(-2 < y,y < 0), z < -(
y+2)^(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(-2 < y,y < 0), z = -(y+2)^(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(-2 < y,y < 0), And(-(y+2)^(1/2) < z,z < (y+2)^(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(-2 < y,y < 0), z = (y+2)^(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(-2 < y,y < 0), (y+2)^(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 = x, z < 0],
[regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-4, -4], [-4
, -4], [-1, -1]]]], [[10, 9, 1, 4, 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, 4, 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, 9, 1], [v
= 2^(1/2), u = 0, And(-3 < x,x < -1), x+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-2, -2], [2, 2], [-\
3, -3]]]], [[10, 10, 3, 9, 2], [v = 2^(1/2), u = 0, And(-3 < x,x < -1), x+3 <
y, z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0
], [-2, -2], [2, 2], [-2, -2]]]], [[10, 10, 3, 9, 3], [v = 2^(1/2), u = 0, And
(-3 < x,x < -1), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-2, -2], [2, 2], [0
, 0]]]], [[10, 10, 3, 9, 4], [v = 2^(1/2), u = 0, And(-3 < x,x < -1), x+3 < y,
z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [
-2, -2], [2, 2], [2, 2]]]], [[10, 10, 3, 9, 5], [v = 2^(1/2), u = 0, And(-3 <
x,x < -1), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911
/1048576], [0, 0], [-2, -2], [2, 2], [3, 3]]]], [[10, 16, 4, 1, 1], [v = 2^(1/
2), u = 3^(1/2), x = -1, y < -1, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [908093/524288, 1816187/1048576], [-1, -1], [-2, -2], [0, 0]
]]], [[10, 17, 9, 9, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(u^2-3 < x,x
< 1), u^2+x-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [3913339/2097152, 3913339/2097152], [388511/524288, 388511/524288],
[5, 5], [-4, -4]]]], [[10, 17, 9, 9, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2),
And(u^2-3 < x,x < 1), u^2+x-1 < y, z = -(y-x)^(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, 9,
3], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(u^2-3 < x,x < 1), u^2+x-1 < y, 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [3913339/2097152, 3913339/2097152], [388511/524288, 388511/
524288], [5, 5], [0, 0]]]], [[10, 17, 9, 9, 4], [v = 2^(1/2), And(3^(1/2) < u,
u < 2), And(u^2-3 < x,x < 1), u^2+x-1 < y, z = (y-x)^(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, 9, 5], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(u^2-3 < x,x < 1), u^2+x-1
< y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
3913339/2097152, 3913339/2097152], [388511/524288, 388511/524288], [5, 5], [4,
4]]]], [[10, 18, 4, 7, 1], [v = 2^(1/2), u = 2, x = -1, And(0 < y,y < 2), z <
-(y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1,
-1], [1, 1], [-3, -3]]]], [[10, 18, 4, 7, 2], [v = 2^(1/2), u = 2, x = -1, And
(0 < y,y < 2), z = -(y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [-1, -1], [1, 1], [-1482911/1048576, -741455/524288]]]], [[
10, 18, 4, 7, 3], [v = 2^(1/2), u = 2, x = -1, And(0 < y,y < 2), And(-(y+1)^(1
/2) < z,z < (y+1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576],
[2, 2], [-1, -1], [1, 1], [0, 0]]]], [[10, 18, 4, 7, 4], [v = 2^(1/2), u = 2,
x = -1, And(0 < y,y < 2), z = (y+1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [2, 2], [-1, -1], [1, 1], [741455/524288, 1482911/1048576]]]
], [[10, 18, 4, 7, 5], [v = 2^(1/2), u = 2, x = -1, And(0 < y,y < 2), (y+1)^(1
/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1, -1],
[1, 1], [3, 3]]]], [[10, 19, 9, 3, 1], [v = 2^(1/2), 2 < u, And(1 < x,x < u^2-\
3), And(x-u^2+3 < y,y < 0), z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [7/2, 7/2], [-5/4, -5/4], [0, 0]]]], [[11, 6, 4, 1, 1], [2^(
1/2) < v, u = -v, x = 0, y < 0, z = z], [regular_chain, [[3, 3], [-3, -3], [0,
0], [-1, -1], [0, 0]]]], [[11, 7, 11, 5, 1], [2^(1/2) < v, And(-v < u,u < -(v^
2-1)^(1/2)), 1 < x, And(x < y,y < u^2-v^2+x+1), z < -(y-x)^(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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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(x < y,y
< u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2-v^2+x+1), z = (y-x)^(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(x < y,y < u^2-v^2+x+1), (y-
x)^(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-1, z = z], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-2, -2], [-4, -4], [0,
0]]]], [[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 = x, z < 0], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [133259/524288, 133259/524288], [133259/
524288, 133259/524288], [-1, -1]]]], [[11, 13, 7, 6, 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, 6, 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, 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(0 < y,y < x-u^2+v^2+1), z = z], [regular_chain, [[3,
3], [3396811/1048576, 3396811/1048576], [1566621/2097152, 1566621/2097152], [
132633/1048576, 132633/1048576], [0, 0]]]], [[11, 21, 2, 6, 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,
6, 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, 6, 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,
6, 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, 6, 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, 4, 9, 5, 1], [v < -2^(1/2), u = -(v^2+1)^(1/
2), 1 < x, And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [
-3315889/1048576, -207243/65536], [2, 2], [3, 3], [-2, -2]]]], [[1, 4, 9, 5, 2
], [v < -2^(1/2), u = -(v^2+1)^(1/2), 1 < x, And(x < y,y < x+2), z = -(y-x)^(1
/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [2, 2], [3
, 3], [-1, -1]]]], [[1, 4, 9, 5, 3], [v < -2^(1/2), u = -(v^2+1)^(1/2), 1 < x,
And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
-3, -3], [-3315889/1048576, -207243/65536], [2, 2], [3, 3], [0, 0]]]], [[1, 4,
9, 5, 4], [v < -2^(1/2), u = -(v^2+1)^(1/2), 1 < x, And(x < y,y < x+2), z = (y
-x)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [2,
2], [3, 3], [1, 1]]]], [[1, 4, 9, 5, 5], [v < -2^(1/2), u = -(v^2+1)^(1/2), 1
< x, And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [2, 2], [3, 3], [2, 2]]]], [[1, 6, 3, 3, 1],
[v < -2^(1/2), u = v, And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z
= -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [-1/2, -1/2], [-1/4, -1/
4], [-1/2, -1/2]]]], [[1, 6, 3, 3, 3], [v < -2^(1/2), u = v, And(-1 < x,x < 0)
, And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
-3, -3], [-3, -3], [-1/2, -1/2], [-1/4, -1/4], [0, 0]]]], [[1, 6, 3, 3, 4], [v
< -2^(1/2), u = v, And(-1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [-3, -3], [-1/2, -1/2], [-1/4, -1/4], [1/2, 1/2]]]],
[[1, 6, 3, 3, 5], [v < -2^(1/2), u = v, And(-1 < x,x < 0), And(x < y,y < 0), (
y-x)^(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, 0
< y, z < -(y+3)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/
4096], [-3, -3], [1, 1], [-3, -3]]]], [[1, 12, 2, 7, 2], [v < -2^(1/2), u = (v
^2-2)^(1/2), x = -3, 0 < y, z = -(y+3)^(1/2)], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [-3, -3], [1, 1], [-2, -2]]]], [[1, 12, 2, 7, 3]
, [v < -2^(1/2), u = (v^2-2)^(1/2), x = -3, 0 < y, And(-(y+3)^(1/2) < z,z < (y
+3)^(1/2))], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-3, -3
], [1, 1], [0, 0]]]], [[1, 12, 2, 7, 4], [v < -2^(1/2), u = (v^2-2)^(1/2), x =
-3, 0 < y, z = (y+3)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 
10837/4096], [-3, -3], [1, 1], [2, 2]]]], [[1, 12, 2, 7, 5], [v < -2^(1/2), u
= (v^2-2)^(1/2), x = -3, 0 < y, (y+3)^(1/2) < z], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [-3, -3], [1, 1], [3, 3]]]], [[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 = z], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [133259/524288, 133259/524288], [-2, -2], [0, 0]]]], [[1, 18,
3, 1, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y < x, z = z],
[regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-3/2, -3/2], [-3,
-3], [0, 0]]]], [[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 < 2*u^2-2*v^2), z < -(y-u^2+v
^2+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [
129511/262144, 518045/1048576], [3651285/2097152, 3651285/2097152], [-3, -3]]]
], [[1, 19, 8, 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^2-1 < y,y < 2*u^2-2*v^2), z = -(y-u^2+v^2+1)^(1/2)],
[regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [129511/262144,
518045/1048576], [3651285/2097152, 3651285/2097152], [-1170947/1048576, -\
585473/524288]]]], [[1, 19, 8, 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^2-1 < y,y < 2*u^2-2*v^2), And(-(y-u^2
+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [129511/262144, 518045/1048576], [3651285/
2097152, 3651285/2097152], [0, 0]]]], [[1, 19, 8, 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^2-1 < y,y < 2*u^2
-2*v^2), z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576
, 3396811/1048576], [129511/262144, 518045/1048576], [3651285/2097152, 3651285
/2097152], [585473/524288, 1170947/1048576]]]], [[1, 19, 8, 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^2-1 < y
,y < 2*u^2-2*v^2), (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [129511/262144, 518045/1048576], [3651285/
2097152, 3651285/2097152], [3, 3]]]], [[2, 4, 1, 1, 1], [v = -2^(1/2), u = -3^
(1/2), x < -2, y < x, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1816187/1048576, -3632373/2097152], [-3, -3], [-4, -4], [0, 0]]]],
[[2, 5, 7, 2, 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], [-\
275385/1048576, -34423/131072], [-1, -1]]]], [[2, 5, 7, 2, 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], [-275385/1048576, -34423/131072], [0, 0]]]
], [[2, 5, 7, 2, 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], [-\
275385/1048576, -34423/131072], [1, 1]]]], [[2, 6, 2, 5, 1], [v = -2^(1/2), u
= v, x = -1, 0 < y, z < -(y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1482911/1048576, -741455/524288], [-1, -1], [1, 1], [-3, -3]
]]], [[2, 6, 2, 5, 2], [v = -2^(1/2), u = v, x = -1, 0 < y, z = -(y+1)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -\
741455/524288], [-1, -1], [1, 1], [-1482911/1048576, -741455/524288]]]], [[2,
6, 2, 5, 3], [v = -2^(1/2), u = v, x = -1, 0 < y, And(-(y+1)^(1/2) < z,z < (y+
1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/
1048576, -741455/524288], [-1, -1], [1, 1], [0, 0]]]], [[2, 6, 2, 5, 4], [v =
-2^(1/2), u = v, x = -1, 0 < y, z = (y+1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-1, -1], [1, 1]
, [741455/524288, 1482911/1048576]]]], [[2, 6, 2, 5, 5], [v = -2^(1/2), u = v,
x = -1, 0 < y, (y+1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1482911/1048576, -741455/524288], [-1, -1], [1, 1], [3, 3]]]], [[2,
7, 10, 2, 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, 5, 1], [v = -2^(1/2),
And(1 < u,u < -v), x = 0, And(u^2-1 < y,y < -u^2+3), z < -y^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [0, 0], [1, 1], [-2, -2]]]], [[2, 13, 8, 5, 2], [v = -2^(1/2), And(1
< u,u < -v), x = 0, And(u^2-1 < y,y < -u^2+3), z = -y^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [0, 0
], [1, 1], [-1, -1]]]], [[2, 13, 8, 5, 3], [v = -2^(1/2), And(1 < 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], [1265743/1048576, 1265743/1048576], [0,
0], [1, 1], [0, 0]]]], [[2, 13, 8, 5, 4], [v = -2^(1/2), And(1 < u,u < -v), x
= 0, And(u^2-1 < y,y < -u^2+3), z = y^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [0, 0], [1, 1],
[1, 1]]]], [[2, 13, 8, 5, 5], [v = -2^(1/2), And(1 < u,u < -v), x = 0, And(u^2
-1 < y,y < -u^2+3), y^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [0, 0], [1, 1], [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
= x, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-3198693/4194304, -3198693/4194304], [-3198693/
4194304, -3198693/4194304], [-1, -1]]]], [[2, 15, 5, 2, 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], [-3198693/4194304, -3198693/4194304], [0,
0]]]], [[2, 15, 5, 2, 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], [-\
3198693/4194304, -3198693/4194304], [1, 1]]]], [[2, 19, 8, 2, 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, 1, 10, 1, 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], [-1, -1], [0, 0]]]], [[3, 7, 10, 4, 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, 4, 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, 4, 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, 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 < x), z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [-1/2, -1/2], [-24446187/33554432, -24446187/33554432], [0,
0]]]], [[3, 17, 8, 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, 8, 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, 8, 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, 10, 5, 1], [v = -1, u < -3^(1/2), x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), z
< -(y-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [7, 7], [23/2, 23/2]
, [-4, -4]]]], [[4, 1, 10, 5, 2], [v = -1, u < -3^(1/2), x = u^2-2, And(u^2-2
< y,y < 2*u^2-2), z = -(y-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-3, -3],
[7, 7], [23/2, 23/2], [-1112183/524288, -2224365/1048576]]]], [[4, 1, 10, 5, 3
], [v = -1, u < -3^(1/2), x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), And(-(y-u^2+2
)^(1/2) < z,z < (y-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [-3, -3], [7, 7]
, [23/2, 23/2], [0, 0]]]], [[4, 1, 10, 5, 4], [v = -1, u < -3^(1/2), x = u^2-2
, And(u^2-2 < y,y < 2*u^2-2), z = (y-u^2+2)^(1/2)], [regular_chain, [[-1, -1],
[-3, -3], [7, 7], [23/2, 23/2], [2224365/1048576, 1112183/524288]]]], [[4, 1,
10, 5, 5], [v = -1, u < -3^(1/2), x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), (y-u^
2+2)^(1/2) < z], [regular_chain, [[-1, -1], [-3, -3], [7, 7], [23/2, 23/2], [4
, 4]]]], [[4, 7, 10, 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], [5/4, 5/4], [-2, -2]]]],
[[4, 7, 10, 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], [5/4, 5/4], [-1/2, -1/2]]]], [
[4, 7, 10, 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], [5/4, 5/4], [0, 0]]]],
[[4, 7, 10, 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], [5/4, 5/4], [1/2, 1/2]]]], [[4
, 7, 10, 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], [5/4, 5/4], [2, 2]]]], [[4, 9,
5, 5, 1], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), And(u^2+x < y,y < 0
), z < -(y-x)^(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(u^2+x < y,y < 0), z = -(y-x)^(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(u
^2+x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(u^2+x < y
,y < 0), z = (y-x)^(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(u^2+x < y,y < 0), (y-x)^(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(x-1 < y,y < x), z = z
], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-4, -4], [-9/
2, -9/2], [0, 0]]]], [[4, 15, 5, 4, 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, 4, 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, 4, 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, 7, 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, 7, 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,
7, 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, 7, 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, 7, 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, 7, 4, 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, 4, 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, 4
, 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, 4, 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, 4, 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, 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 =
-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], [836497/524288, 1672995/1048576], [-2, -2]]
]], [[5, 9, 10, 6, 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], [836497/524288, 1672995/1048576], [
-1618333/2097152, -3236665/4194304]]]], [[5, 9, 10, 6, 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], [836497/524288, 1672995/1048576], [-1/8388608, -1/
8388608]]]], [[5, 9, 10, 6, 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], [836497/524288, 1672995/
1048576], [404583/524288, 809167/1048576]]]], [[5, 9, 10, 6, 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
], [836497/524288, 1672995/1048576], [2, 2]]]], [[6, 2, 4, 7, 1], [v = 0, u =
-2^(1/2), x = -1, And(0 < y,y < 2), z < -(y+1)^(1/2)], [regular_chain, [[0, 0]
, [-1482911/1048576, -741455/524288], [-1, -1], [1, 1], [-3, -3]]]], [[6, 2, 4
, 7, 2], [v = 0, u = -2^(1/2), x = -1, And(0 < y,y < 2), z = -(y+1)^(1/2)], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1, -1], [1, 1],
[-1482911/1048576, -741455/524288]]]], [[6, 2, 4, 7, 3], [v = 0, u = -2^(1/2),
x = -1, And(0 < y,y < 2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1, -1], [1, 1],
[0, 0]]]], [[6, 2, 4, 7, 4], [v = 0, u = -2^(1/2), x = -1, And(0 < y,y < 2), z
= (y+1)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [
-1, -1], [1, 1], [741455/524288, 1482911/1048576]]]], [[6, 2, 4, 7, 5], [v = 0
, u = -2^(1/2), x = -1, And(0 < y,y < 2), (y+1)^(1/2) < z], [regular_chain, [[
0, 0], [-1482911/1048576, -741455/524288], [-1, -1], [1, 1], [3, 3]]]], [[6, 3
, 9, 1, 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], [-1, -1], [0, 0]]]], [[6, 8, 5, 5, 1], [v = 0, u =
1, And(-1 < x,x < 0), And(0 < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [
[0, 0], [1, 1], [-1/2, -1/2], [3/4, 3/4], [-3, -3]]]], [[6, 8, 5, 5, 2], [v =
0, u = 1, And(-1 < x,x < 0), And(0 < y,y < x+2), z = -(y-x)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-1/2, -1/2], [3/4, 3/4], [-146543/131072, -\
1172343/1048576]]]], [[6, 8, 5, 5, 3], [v = 0, u = 1, And(-1 < x,x < 0), And(0
< y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0],
[1, 1], [-1/2, -1/2], [3/4, 3/4], [0, 0]]]], [[6, 8, 5, 5, 4], [v = 0, u = 1,
And(-1 < x,x < 0), And(0 < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[0,
0], [1, 1], [-1/2, -1/2], [3/4, 3/4], [1172343/1048576, 146543/131072]]]], [[6
, 8, 5, 5, 5], [v = 0, u = 1, And(-1 < x,x < 0), And(0 < y,y < x+2), (y-x)^(1/
2) < z], [regular_chain, [[0, 0], [1, 1], [-1/2, -1/2], [3/4, 3/4], [3, 3]]]],
[[6, 9, 10, 7, 1], [v = 0, And(1 < u,u < 2^(1/2)), x = 1, And(1 < y,y < u^2+2)
, z < -(y-1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [1, 1], [2336807/1048576, 2336807/1048576], [-3, -3]]]], [[6, 9, 10,
7, 2], [v = 0, And(1 < u,u < 2^(1/2)), x = 1, And(1 < y,y < u^2+2), 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, 7, 3], [v = 0, And(1 < u,u < 2^(1/2)), x = 1, And(1 < y,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], [2336807/1048576, 2336807/1048576], [0, 0]]
]], [[6, 9, 10, 7, 4], [v = 0, And(1 < u,u < 2^(1/2)), x = 1, And(1 < y,y < u^
2+2), 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, 7, 5], [v = 0, And(1 < u,u < 2^(1/2)), x = 1, And(1 <
y,y < u^2+2), (y-1)^(1/2) < z], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [1, 1], [2336807/1048576, 2336807/1048576], [3, 3]]]], [[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+2), z < -(y-x)^(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, 5, 2], [
And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2),
z = -(y-x)^(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, 5, 3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(0 <
y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 5, 4], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And
(0 < y,y < x+2), z = (y-x)^(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, 5, 5], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-2 < x,
x < -1), And(0 < y,y < x+2), (y-x)^(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, 2, 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, 6, 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, 6, 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
, 6, 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, 6, 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, 6, 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, 5, 2, 1], [v = 1, u = -3^(1/2), And(-1 < x,x < 0), y = x-1,
z = z], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-1/2,
-1/2], [-3/2, -3/2], [0, 0]]]], [[8, 8, 5, 7, 1], [v = 1, u = 0, And(-1 < x,x
< 0), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-1/2, -1/2
], [3, 3], [-3, -3]]]], [[8, 8, 5, 7, 2], [v = 1, u = 0, And(-1 < x,x < 0), x+
2 < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [3, 3
], [-7846825/4194304, -980853/524288]]]], [[8, 8, 5, 7, 3], [v = 1, u = 0, And
(-1 < x,x < 0), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [3, 3], [0, 0]]]], [[8, 8, 5, 7,
4], [v = 1, u = 0, And(-1 < x,x < 0), x+2 < y, z = (y-x)^(1/2)], [
regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [3, 3], [980853/524288, 1961707/
1048576]]]], [[8, 8, 5, 7, 5], [v = 1, u = 0, And(-1 < x,x < 0), x+2 < y, (y-x
)^(1/2) < z], [regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [3, 3], [3, 3]]]]
, [[8, 9, 11, 4, 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, 4
, 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, 4, 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, 6, 3, 1], [v = 1, u = 3^(1/2), x = 0, And(-1 < y,y < 0)
, z = z], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [0, 0], [
-1/2, -1/2], [0, 0]]]], [[8, 15, 11, 1, 1], [v = 1, 3^(1/2) < u, u^2-2 < x, y
< 0, z = z], [regular_chain, [[1, 1], [3, 3], [8, 8], [-1, -1], [0, 0]]]], [[9
, 6, 6, 3, 1], [And(1 < v,v < 2^(1/2)), u = -v, x = 1, And(0 < y,y < 1), z = z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [1, 1], [1/2, 1/2], [0, 0]]]], [[9, 8, 2, 3, 1], [And(1 < v,
v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -2, And(-2 < y,y < 0), z < -(y+2)^(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(-2 < y,y < 0), z = -(y+2)^(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(-2 < y,y < 0), And(-(y+2)^(1/2)
< z,z < (y+2)^(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(-2 < y,y < 0), z
= (y+2)^(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(-2 < y,y < 0), (y+2)^(
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, x+2 < y, z < -(y-x)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [2, 2], [5, 5], [-3, -3]]]], [[9, 8, 9, 7, 2], [And(1 < v,v <
2^(1/2)), u = -(v^2-1)^(1/2), 1 < x, x+2 < y, z = -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [2, 2], [5, 5], [-1816187/1048576, -3632373/2097152]]]], [[9, 8, 9,
7, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), 1 < x, x+2 < y, And(-(y-x)
^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [2, 2], [5, 5], [-1/4194304, -1/
4194304]]]], [[9, 8, 9, 7, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), 1
< x, x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [2, 2], [5, 5], [908093/524288,
1816187/1048576]]]], [[9, 8, 9, 7, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(
1/2), 1 < x, x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1417877/2097152, -354469/524288], [2, 2], [5, 5], [3, 3]]]
], [[9, 10, 4, 2, 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, 2, 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, 2, 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, 4, 9, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x
= -1, 2 < y, z < -(y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [121853/65536, 1949649/1048576], [-1, -1], [3, 3], [-3, -3]]]], [[9,
16, 4, 9, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -1, 2 < y, z = -
(y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/
65536, 1949649/1048576], [-1, -1], [3, 3], [-2, -2]]]], [[9, 16, 4, 9, 3], [
And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -1, 2 < y, And(-(y+1)^(1/2) < z
,z < (y+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [-1, -1], [3, 3], [0, 0]]]], [[9, 16, 4, 9, 4]
, [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -1, 2 < y, z = (y+1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-1, -1], [3, 3], [2, 2]]]], [[9, 16, 4, 9, 5], [And(1 < v,v < 2^(1/
2)), u = (v^2+2)^(1/2), x = -1, 2 < y, (y+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-1, -1],
[3, 3], [3, 3]]]], [[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(0 < y,y < x), z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [7909297/2097152, 7909297/2097152],
[494331/262144, 494331/262144], [0, 0]]]], [[10, 5, 1, 1, 1], [v = 2^(1/2), 
And(-3^(1/2) < u,u < -v), x < -u^2+1, y < x, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-3, -3], [-4,
-4], [0, 0]]]], [[10, 6, 4, 3, 1], [v = 2^(1/2), u = -v, x = 0, And(0 < y,y <
1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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+2 < y,
z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1],
[-3/2, -3/2], [2, 2], [-3, -3]]]], [[10, 12, 3, 7, 2], [v = 2^(1/2), u = 1, 
And(-2 < x,x < -1), x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [-3/2, -3/2], [2, 2], [-7846825/4194304, -\
980853/524288]]]], [[10, 12, 3, 7, 3], [v = 2^(1/2), u = 1, And(-2 < x,x < -1)
, x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [-3/2, -3/2], [2, 2], [0, 0]]]], [[10, 12, 3
, 7, 4], [v = 2^(1/2), u = 1, And(-2 < x,x < -1), x+2 < y, z = (y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3/2, -3/2], [2, 2]
, [980853/524288, 1961707/1048576]]]], [[10, 12, 3, 7, 5], [v = 2^(1/2), u = 1
, And(-2 < x,x < -1), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [-3/2, -3/2], [2, 2], [3, 3]]]], [[10, 13, 9
, 8, 1], [v = 2^(1/2), And(1 < u,u < v), And(0 < x,x < 1), y = x-u^2+3, z < -(
-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [1/2, 1/2], [2142129/1048576, 1071065/524288], [-3,
-3]]]], [[10, 13, 9, 8, 2], [v = 2^(1/2), And(1 < u,u < v), And(0 < x,x < 1),
y = x-u^2+3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [2142129/1048576, 
1071065/524288], [-1302471/1048576, -651235/524288]]]], [[10, 13, 9, 8, 3], [v
= 2^(1/2), And(1 < u,u < v), And(0 < x,x < 1), y = x-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], [1/2, 1/2], [2142129/1048576, 1071065/
524288], [0, 0]]]], [[10, 13, 9, 8, 4], [v = 2^(1/2), And(1 < u,u < v), And(0
< x,x < 1), y = x-u^2+3, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [2142129/
1048576, 1071065/524288], [651235/524288, 1302471/1048576]]]], [[10, 13, 9, 8,
5], [v = 2^(1/2), And(1 < u,u < v), And(0 < x,x < 1), y = x-u^2+3, (-u^2+3)^(1
/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576,
1265743/1048576], [1/2, 1/2], [2142129/1048576, 1071065/524288], [3, 3]]]], [[
11, 2, 8, 5, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 1, And(1 < y,y < 4), z
< -(y-1)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576],
[1, 1], [5/2, 5/2], [-3, -3]]]], [[11, 2, 8, 5, 2], [2^(1/2) < v, u = -(v^2+2)
^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 1,
And(1 < y,y < 4), 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, 5, 4], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 5], [2^(1/
2) < v, u = -(v^2+2)^(1/2), x = 1, And(1 < y,y < 4), (y-1)^(1/2) < z], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [1, 1], [5/2, 5/2
], [3, 3]]]], [[11, 4, 2, 3, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -2, And
(-2 < y,y < 0), z < -(y+2)^(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(-2 < y,y < 0), z = -(y+2)^(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(
-2 < y,y < 0), And(-(y+2)^(1/2) < z,z < (y+2)^(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(-2 < y,y < 0), z = (y+2
)^(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(-2 < y,y < 0), (y+2)^(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(x < y,y < 0), z < -(y-
x)^(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(x < y,y < 0), z = -(y-x)^(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(
x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y <
0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = z], [regular_chain, [[3, 3], [0, 0], [
1, 1], [-8, -8], [0, 0]]]], [[11, 15, 10, 8, 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], [657289/262144, 2629157
/1048576], [-3, -3]]]], [[11, 15, 10, 8, 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], [657289/262144, 2629157/
1048576], [-1287385/1048576, -160923/131072]]]], [[11, 15, 10, 8, 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], [657289/262144, 2629157/1048576], [0, 0]]]], [[11, 
15, 10, 8, 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], [657289/262144, 2629157/1048576], [160923/131072, 
1287385/1048576]]]], [[11, 15, 10, 8, 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], [657289/262144, 2629157/1048576
], [3, 3]]]], [[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), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain,
[[3, 3], [403851/131072, 403851/131072], [-1062385/4194304, -1062385/4194304],
[3, 3], [-3, -3]]]], [[11, 17, 7, 9, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(
1/2)), And(u^2-v^2-1 < x,x < 0), u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1062385/4194304, -\
1062385/4194304], [3, 3], [-7565219/4194304, -3782609/2097152]]]], [[11, 17, 7
, 9, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0),
u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3,
3], [403851/131072, 403851/131072], [-1062385/4194304, -1062385/4194304], [3,
3], [-1/4194304, -1/4194304]]]], [[11, 17, 7, 9, 4], [2^(1/2) < v, And(v < u,u
< (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), u^2-v^2+x+1 < y, z = (y-x)^(1/2)],
[regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1062385/4194304, -\
1062385/4194304], [3, 3], [236413/131072, 1891305/1048576]]]], [[11, 17, 7, 9,
5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), u^2-
v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851
/131072], [-1062385/4194304, -1062385/4194304], [3, 3], [3, 3]]]], [[1, 1, 4,
1, 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], [-17, -17], [0, 0]]]], [[1, 2, 5
, 9, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), x+3 < y, z < -(
y-x)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [
-1/2, -1/2], [4, 4], [-4, -4]]]], [[1, 2, 5, 9, 2], [v < -2^(1/2), u = -(v^2+2
)^(1/2), And(-1 < x,x < 0), x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3,
-3], [-1738867/524288, -3477733/1048576], [-1/2, -1/2], [4, 4], [-1112183/
524288, -2224365/1048576]]]], [[1, 2, 5, 9, 3], [v < -2^(1/2), u = -(v^2+2)^(1
/2), And(-1 < x,x < 0), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-1/2, -1/2], [
4, 4], [0, 0]]]], [[1, 2, 5, 9, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-1
< x,x < 0), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-1738867/
524288, -3477733/1048576], [-1/2, -1/2], [4, 4], [2224365/1048576, 1112183/
524288]]]], [[1, 2, 5, 9, 5], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-1 < x,x
< 0), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-1738867/524288,
-3477733/1048576], [-1/2, -1/2], [4, 4], [4, 4]]]], [[1, 8, 7, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 1, 2, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x
< -3, y = x-1, z = z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/
1048576], [-4, -4], [-5, -5], [0, 0]]]], [[1, 14, 2, 4, 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, 4,
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, 4, 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, 4, 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, 4, 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, 3, 1], [v <
-2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 0, And(0 < y,y < u^2-v^2+1), z <
-y^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [0,
0], [516571/2097152, 516571/2097152], [-2, -2]]]], [[1, 15, 8, 3, 2], [v < -2^
(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 0, And(0 < y,y < u^2-v^2+1), 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, 3, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 0, And(0 < 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], [516571/2097152, 516571/2097152], [0, 0]]]
], [[1, 15, 8, 3, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 0, And
(0 < y,y < u^2-v^2+1), 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, 3, 5], [v < -2^(1/2), And((v^2-1)^(1/2)
< u,u < -v), x = 0, And(0 < y,y < u^2-v^2+1), y^(1/2) < z], [regular_chain, [[
-3, -3], [6111549/2097152, 6111549/2097152], [0, 0], [516571/2097152, 516571/
2097152], [2, 2]]]], [[1, 21, 8, 4, 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, 10, 3, 1], [v = -2^(1/2), u < -2, x = u^2-3, And(0 < y,y < u^2-3), z
= z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [6, 6], [
3, 3], [0, 0]]]], [[2, 10, 2, 5, 1], [v = -2^(1/2), u = 0, x = -3, And(-3 < y,
y < 0), z < -(y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [0, 0], [-3, -3], [-3/2, -3/2], [-3, -3]]]], [[2, 10, 2, 5, 2], [v = -2^(1/2
), u = 0, x = -3, And(-3 < y,y < 0), z = -(y+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-3, -3], [-3/2, -3/2], [-1284239/
1048576, -642119/524288]]]], [[2, 10, 2, 5, 3], [v = -2^(1/2), u = 0, x = -3,
And(-3 < y,y < 0), And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-3, -3], [-3/2, -3/2], [0, 0]]]], [
[2, 10, 2, 5, 4], [v = -2^(1/2), u = 0, x = -3, And(-3 < y,y < 0), z = (y+3)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-3, -3],
[-3/2, -3/2], [642119/524288, 1284239/1048576]]]], [[2, 10, 2, 5, 5], [v = -2^
(1/2), u = 0, x = -3, And(-3 < y,y < 0), (y+3)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-3, -3], [-3/2, -3/2], [3, 3]]]], [
[2, 11, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = -2^(1/2
), And(3^(1/2) < u,u < 2), x = u^2-3, 2*u^2-4 < y, z < -(y-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [505467/1048576, 126367/262144], [4, 4], [-3, -3]]]], [[2, 17, 8, 7,
2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, 2*u^2-4 < y, z = -(y-u^2
+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, 7, 3], [v = -2^(1/2), And(3^(1/2)
< u,u < 2), x = u^2-3, 2*u^2-4 < y, And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+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, 7, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = u^
2-3, 2*u^2-4 < y, z = (y-u^2+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, 7, 5], [v =
-2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, 2*u^2-4 < y, (y-u^2+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, 8, 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, 8, 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, 8, 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, 8,
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, 8, 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, 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 = 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], [4696269/1048576, 2348135/524288], [-3, -3]]]], [[3
, 3, 11, 8, 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], [4696269/1048576, 2348135/524288], [-3301741/2097152, -825435/524288]]]]
, [[3, 3, 11, 8, 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], [4696269/1048576, 2348135/524288], [0, 0]
]]], [[3, 3, 11, 8, 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], [4696269/1048576, 2348135/524288], [825435/524288,
1650871/1048576]]]], [[3, 3, 11, 8, 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], [4696269/1048576, 2348135/524288], [3, 3]]]], [[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, 2*u^2-2*v^2 < y, z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1116679/
2097152, -558339/1048576], [2, 2], [-3, -3]]]], [[3, 5, 6, 7, 2], [And(-2^(1/2
) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, 2*u^2-2*v^2 < y,
z = -(y-u^2+v^2+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, 7, 3], [
And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, 2*u^2-\
2*v^2 < y, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1116679/2097152, -558339/1048576], [2, 2], [0, 0]]]], [[3,
5, 6, 7, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = u^2
-v^2-1, 2*u^2-2*v^2 < y, z = (y-u^2+v^2+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, 7, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-
v^2-1, 2*u^2-2*v^2 < y, (y-u^2+v^2+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, 1, 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], [-1, -1], [0, 0]]]], [[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(x-u^2
+v^2+1 < y,y < 0), z < -(y-x)^(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(x-u^2+v^2+1 < y,y < 0), z = -(y-x)^(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(x-u^2+v^2+1
< y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x-u^2+v^2+1 < y,y < 0), z = (y-x)^(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(x-u^2+v^2+1 < y,y < 0), (y-x)^(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, u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2], [5, 5], [-3, -3]
]]], [[3, 13, 11, 9, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/
2)), 1 < x, u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2], [5, 5]
, [-1816187/1048576, -3632373/2097152]]]], [[3, 13, 11, 9, 3], [And(-2^(1/2) <
v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, And(-(y-x)^(
1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [2, 2], [5, 5], [-1/4194304, -1/
4194304]]]], [[3, 13, 11, 9, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^
2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2]
, [5, 5], [908093/524288, 1816187/1048576]]]], [[3, 13, 11, 9, 5], [And(-2^(1/
2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, (y-x)^(
1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [2, 2], [5, 5], [3, 3]]]], [[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 < x-u^2+v^2+1, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [501965/2097152, 501965/
2097152], [-2, -2], [0, 0]]]], [[4, 3, 10, 4, 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], [550769/1048576, 275385/524288], [0, 0]]]]
, [[4, 5, 5, 3, 1], [v = -1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2),
And(x < y,y < x-u^2+2), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304], [-\
4194307/8388608, -4194307/8388608], [-2, -2]]]], [[4, 5, 5, 3, 2], [v = -1, 
And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), And(x < y,y < x-u^2+2), z = -
(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576],
[-3235683/4194304, -3235683/4194304], [-4194307/8388608, -4194307/8388608], [-\
273157/524288, -1092627/2097152]]]], [[4, 5, 5, 3, 3], [v = -1, And(-2^(1/2) <
u,u < -1), And(-1 < x,x < u^2-2), And(x < y,y < x-u^2+2), And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-3235683/4194304, -3235683/4194304], [-4194307/8388608, -4194307/
8388608], [-1/4194304, -1/4194304]]]], [[4, 5, 5, 3, 4], [v = -1, And(-2^(1/2)
< u,u < -1), And(-1 < x,x < u^2-2), And(x < y,y < x-u^2+2), z = (y-x)^(1/2)],
[regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3235683/
4194304, -3235683/4194304], [-4194307/8388608, -4194307/8388608], [546313/
1048576, 273157/524288]]]], [[4, 5, 5, 3, 5], [v = -1, And(-2^(1/2) < u,u < -1
), And(-1 < x,x < u^2-2), And(x < y,y < x-u^2+2), (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3235683/
4194304, -3235683/4194304], [-4194307/8388608, -4194307/8388608], [2, 2]]]], [
[4, 10, 1, 1, 1], [v = -1, u = 1, x < -1, y < x, z = z], [regular_chain, [[-1,
-1], [1, 1], [-2, -2], [-3, -3], [0, 0]]]], [[4, 11, 8, 7, 1], [v = -1, And(1
< u,u < 2^(1/2)), x = 0, u^2 < y, z < -y^(1/2)], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [0, 0], [3, 3], [-3, -3]]]], [[4, 11, 8, 7,
2], [v = -1, And(1 < u,u < 2^(1/2)), x = 0, u^2 < y, z = -y^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [0, 0], [3, 3],
[-1816187/1048576, -3632373/2097152]]]], [[4, 11, 8, 7, 3], [v = -1, And(1 < u
,u < 2^(1/2)), x = 0, u^2 < y, 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, 7, 4], [v = -1, And(1 < u,u < 2^(1/2)), x = 0, u^2 <
y, z = y^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576]
, [0, 0], [3, 3], [908093/524288, 1816187/1048576]]]], [[4, 11, 8, 7, 5], [v =
-1, And(1 < u,u < 2^(1/2)), x = 0, u^2 < y, y^(1/2) < z], [regular_chain, [[-1
, -1], [1265743/1048576, 1265743/1048576], [0, 0], [3, 3], [3, 3]]]], [[5, 2,
3, 1, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y < x-1,
z = z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-2, -2], [-4, -4], [0, 0
]]]], [[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 = x-u^2+v^2+1, z = z], [regular_chain, [
[-1/2, -1/2], [-343151/262144, -343151/262144], [243021/1048576, 243021/
1048576], [-121511/524288, -243021/1048576], [0, 0]]]], [[5, 12, 3, 2, 1], [
And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = x-1, z = z], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-2, -2], [-3, -3], [0, 0]]]], [[5,
13, 7, 3, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(x-u
^2+v^2+1 < y,y < 0), z = z], [regular_chain, [[-1/2, -1/2], [3, 3], [1/2, 1/2]
, [-29/8, -29/8], [0, 0]]]], [[6, 6, 1, 4, 1], [v = 0, u = 0, x < -1, y = x+1,
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 = x+1, 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 = x+1, 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 = x+1, 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 = x+1, 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(0 < y,y < x), z = z], [regular_chain, [[0, 0], [1/2, 1/2], [
1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[7, 1, 1, 3, 1], [And(0 < v,v < 1), u < -(v
^2+2)^(1/2), x < -u^2+v^2-1, And(x-u^2+v^2+1 < y,y < x), z = z], [
regular_chain, [[1/2, 1/2], [-3, -3], [-11, -11], [-119/8, -119/8], [0, 0]]]],
[[7, 2, 3, 4, 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, 4, 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, 4, 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, 7, 1], [And(0 < v,v < 1), u = v, And
(-1 < x,x < 0), x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2,
1/2], [-1/2, -1/2], [2, 2], [-3, -3]]]], [[7, 8, 3, 7, 2], [And(0 < v,v < 1),
u = v, And(-1 < x,x < 0), x+1 < y, z = -(y-x)^(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, 7, 3], [And(0 < v,v < 1), u = v, And(-1 < x,x < 0), x+1 < y, And(-(
y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1
/2, -1/2], [2, 2], [0, 0]]]], [[7, 8, 3, 7, 4], [And(0 < v,v < 1), u = v, And(
-1 < x,x < 0), x+1 < y, z = (y-x)^(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, 7,
5], [And(0 < v,v < 1), u = v, And(-1 < x,x < 0), x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1/2, -1/2], [2, 2], [3, 3]]]], [[7,
9, 10, 9, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 1, u^2-v^2+
2 < y, z < -(y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [1, 1], [4, 4], [-3, -3]]]], [[7, 9, 10, 9, 2], [And(0 < v,v
< 1), And(v < u,u < (v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y, 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, 9, 3], [And(0 < v,v < 1
), And(v < u,u < (v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y, 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, 9, 4], [And
(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y, 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, 9, 5], [And(0 < v,v
< 1), And(v < u,u < (v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y, (y-1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1, 1], [4, 4]
, [3, 3]]]], [[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 < x+2), z < -(y-x)^(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, 5, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,
y < x+2), z = -(y-x)^(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, 5, 3], [And(0
< v,v < 1), u = (v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), And(-(y-x
)^(1/2) < z,z < (y-x)^(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, 5, 4], [And(0 <
v,v < 1), u = (v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z = (y-x)^(
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, 5, 5], [And(0 < v,v < 1), u = (v^2+1)^(
1/2), And(0 < x,x < 1), And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain,
[[1/2, 1/2], [1172343/1048576, 146543/131072], [1/2, 1/2], [3/2, 3/2], [2, 2]]
]], [[7, 12, 1, 5, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x < -3, And(x < y
,y < x+3), z < -(y-x)^(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 < y,y < x+3), z = -(y-x)^(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 < y,
y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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 < y,y < x+3), z = (y-x)^(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 < y,y < x+3), (y-x)^(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+2), z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [3/4
, 3/4], [-3, -3]]]], [[8, 4, 5, 5, 2], [v = 1, u = -2^(1/2), And(-1 < x,x < 0)
, And(0 < y,y < x+2), z = -(y-x)^(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, 5, 3], [v = 1, u = -2^(1/2), And(-1 < x,x < 0), And(0
< y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1],
[-1482911/1048576, -741455/524288], [-1/2, -1/2], [3/4, 3/4], [0, 0]]]], [[8,
4, 5, 5, 4], [v = 1, u = -2^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), z =
(y-x)^(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, 5, 5],
[v = 1, u = -2^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), (y-x)^(1/2) < z],
[regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [3/
4, 3/4], [3, 3]]]], [[8, 5, 11, 2, 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, 7, 6, 1], [v = 1, u = 1, 1 < x, y = x+1,
z < -1], [regular_chain, [[1, 1], [1, 1], [2, 2], [3, 3], [-2, -2]]]], [[8, 10
, 7, 6, 2], [v = 1, u = 1, 1 < x, y = x+1, z = -1], [regular_chain, [[1, 1], [
1, 1], [2, 2], [3, 3], [-1, -1]]]], [[8, 10, 7, 6, 3], [v = 1, u = 1, 1 < x, y
= x+1, And(-1 < z,z < 1)], [regular_chain, [[1, 1], [1, 1], [2, 2], [3, 3], [0
, 0]]]], [[8, 10, 7, 6, 4], [v = 1, u = 1, 1 < x, y = x+1, z = 1], [
regular_chain, [[1, 1], [1, 1], [2, 2], [3, 3], [1, 1]]]], [[8, 10, 7, 6, 5],
[v = 1, u = 1, 1 < x, y = x+1, 1 < z], [regular_chain, [[1, 1], [1, 1], [2, 2]
, [3, 3], [2, 2]]]], [[8, 12, 4, 1, 1], [v = 1, u = 2^(1/2), x = -1, y < -1, z
= z], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1, -1], [-2
, -2], [0, 0]]]], [[9, 2, 8, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2
), x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-3899297/2097152, -7798593/4194304], [1, 1], [1/2, 1/2], [0, 0]]]]
, [[9, 4, 2, 1, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -2, y < -\
2, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/
262144, -3287319/2097152], [-2, -2], [-3, -3], [0, 0]]]], [[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 = x, z
< 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3, -3], [-3, -3], [-1, -1]]]], [[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 = x, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-3, -3], [-3, -3], [0, 0]]]], [[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 = x, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-3, -3], [-3, -3], [1, 1]]]], [[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 = 4, z < -3^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [-2, -2], [1, 1], [4, 4], [-3, -3]]]], [[10, 2, 8,
6, 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, 6, 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, 6
, 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, 6, 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, 2, 4, 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,
4, 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,
4, 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, 4, 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, 4, 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, 3, 1], [v = 2^(1/2), And(-1 < u,u < 0), x < u^2-3, And(u^2+x-1 < y,
y < x), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2
], [-4, -4], [-35/8, -35/8], [0, 0]]]], [[10, 10, 3, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 4, 2, 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, 2, 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, 2, 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, 1, 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], [-1, -1], [0, 0]
]]], [[10, 18, 4, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 9, 4, 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, 3, 7, 1], [2^(1/2) <
v, u = -v, And(-1 < x,x < 0), x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[3,
3], [-3, -3], [-1/2, -1/2], [2, 2], [-3, -3]]]], [[11, 6, 3, 7, 2], [2^(1/2) <
v, u = -v, And(-1 < x,x < 0), x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[3,
3], [-3, -3], [-1/2, -1/2], [2, 2], [-3315889/2097152, -207243/131072]]]], [[
11, 6, 3, 7, 3], [2^(1/2) < v, u = -v, And(-1 < x,x < 0), x+1 < y, And(-(y-x)^
(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2],
[2, 2], [0, 0]]]], [[11, 6, 3, 7, 4], [2^(1/2) < v, u = -v, And(-1 < x,x < 0),
x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2], [2
, 2], [207243/131072, 1657945/1048576]]]], [[11, 6, 3, 7, 5], [2^(1/2) < v, u
= -v, And(-1 < x,x < 0), x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [
-3, -3], [-1/2, -1/2], [2, 2], [3, 3]]]], [[11, 7, 11, 4, 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
, 4, 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, 4, 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, 2, 1], [2^(1/2) < v, u = (v^
2-2)^(1/2), And(-3 < x,x < -1), y = x-1, z = z], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [-2, -2], [-3, -3], [0, 0]]]], [[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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3]
, [1435023/524288, 1435023/524288], [133259/524288, 133259/524288], [395403/
262144, 395403/262144], [-3, -3]]]], [[11, 13, 7, 7, 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(x < y,y < x-
u^2+v^2+1), z = -(y-x)^(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, 7, 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(x < y
,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3
, 3], [1435023/524288, 1435023/524288], [133259/524288, 133259/524288], [
395403/262144, 395403/262144], [0, 0]]]], [[11, 13, 7, 7, 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(x < y
,y < x-u^2+v^2+1), z = (y-x)^(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, 7, 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(x < y,y <
x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [133259/524288, 133259/524288], [395403/262144, 395403/262144
], [3, 3]]]], [[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 = 0, z = z], [regular_chain, [[3, 3],
[3396811/1048576, 3396811/1048576], [1566621/2097152, 1566621/2097152], [0, 0]
, [0, 0]]]], [[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 < 0), 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, 5, 2], [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 = -(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, 5, 3], [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), 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, 5, 4], [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 = (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, 5, 5], [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), (u^2-v^2+y+1)^(1/2) < z], [
regular_chain, [[3, 3], [5, 5], [-17, -17], [-17/2, -17/2], [4, 4]]]], [[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+1, z < -1], [regular_chain, [[-3, -3], [-3, -3], [-1/2, -1/2], [1/
2, 1/2], [-2, -2]]]], [[1, 6, 3, 6, 2], [v < -2^(1/2), u = v, And(-1 < x,x < 0
), y = x+1, z = -1], [regular_chain, [[-3, -3], [-3, -3], [-1/2, -1/2], [1/2,
1/2], [-1, -1]]]], [[1, 6, 3, 6, 3], [v < -2^(1/2), u = v, And(-1 < x,x < 0),
y = x+1, And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [-3, -3], [-1/2, -1/2]
, [1/2, 1/2], [0, 0]]]], [[1, 6, 3, 6, 4], [v < -2^(1/2), u = v, And(-1 < x,x
< 0), y = x+1, z = 1], [regular_chain, [[-3, -3], [-3, -3], [-1/2, -1/2], [1/2
, 1/2], [1, 1]]]], [[1, 6, 3, 6, 5], [v < -2^(1/2), u = v, And(-1 < x,x < 0),
y = x+1, 1 < z], [regular_chain, [[-3, -3], [-3, -3], [-1/2, -1/2], [1/2, 1/2]
, [2, 2]]]], [[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 = z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [133259/524288, 133259/524288], [-266519/1048576, -133259/524288], [0
, 0]]]], [[1, 18, 2, 5, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), x = -2, 0 < y, z
< -(y+2)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [
-2, -2], [1, 1], [-3, -3]]]], [[1, 18, 2, 5, 2], [v < -2^(1/2), u = (v^2+1)^(1
/2), x = -2, 0 < y, z = -(y+2)^(1/2)], [regular_chain, [[-3, -3], [207243/
65536, 3315889/1048576], [-2, -2], [1, 1], [-1816187/1048576, -3632373/2097152
]]]], [[1, 18, 2, 5, 3], [v < -2^(1/2), u = (v^2+1)^(1/2), x = -2, 0 < y, And(
-(y+2)^(1/2) < z,z < (y+2)^(1/2))], [regular_chain, [[-3, -3], [207243/65536,
3315889/1048576], [-2, -2], [1, 1], [-1/4194304, -1/4194304]]]], [[1, 18, 2, 5
, 4], [v < -2^(1/2), u = (v^2+1)^(1/2), x = -2, 0 < y, z = (y+2)^(1/2)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-2, -2], [1, 1], [
908093/524288, 1816187/1048576]]]], [[1, 18, 2, 5, 5], [v < -2^(1/2), u = (v^2
+1)^(1/2), x = -2, 0 < y, (y+2)^(1/2) < z], [regular_chain, [[-3, -3], [207243
/65536, 3315889/1048576], [-2, -2], [1, 1], [3, 3]]]], [[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 < 0, z = z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576],
[1566621/2097152, 1566621/2097152], [-1, -1], [0, 0]]]], [[2, 3, 11, 7, 1], [v
= -2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, And(x < y,y < u^2+x-1), z < -(y-x
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [2, 2], [6796923/2097152, 6796923/2097152], [-3, -\
3]]]], [[2, 3, 11, 7, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, And(
x < y,y < u^2+x-1), z = -(y-x)^(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, 7, 3], [v =
-2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, And(x < y,y < u^2+x-1), And(-(y-x)^
(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [2, 2], [6796923/2097152, 
6796923/2097152], [0, 0]]]], [[2, 3, 11, 7, 4], [v = -2^(1/2), And(-2 < u,u <
-3^(1/2)), 1 < x, And(x < y,y < u^2+x-1), z = (y-x)^(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, 7, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, And(x < y,y < u^2
+x-1), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[-3913339/2097152, -3913339/2097152], [2, 2], [6796923/2097152, 6796923/
2097152], [3, 3]]]], [[2, 5, 7, 3, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v),
And(u^2-3 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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, 3, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x <
0), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2
-3 < x,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v),
And(u^2-3 < x,x < 0), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = -2^(1/2), And(-3^(1/2) < u,u
< v), And(u^2-3 < x,x < 0), And(x < y,y < 0), (y-x)^(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, 4, 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, 4, 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
, 4, 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, 4, 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, 4, 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, 10, 5, 1], [v = -2^(1/2), And(v < u,u < -1), x = 1, And(1
< y,y < u^2), 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(1 < y,y < u^2), 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(1 < 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], [1288231/1048576
, 1288231/1048576], [0, 0]]]], [[2, 7, 10, 5, 4], [v = -2^(1/2), And(v < u,u <
-1), x = 1, And(1 < y,y < u^2), 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(1 < y,y < u^2), (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 = 0, z < 0]
, [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 
1265743/1048576], [0, 0], [0, 0], [-1, -1]]]], [[2, 13, 8, 2, 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, 2, 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, 3, 1], [v = -2^(1/2), And(-v
< u,u < 3^(1/2)), And(-1 < x,x < u^2-3), And(x < y,y < x-u^2+3), z < -(y-x)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [-3198693/4194304, -3198693/4194304], [-4194305/8388608, -\
4194305/8388608], [-2, -2]]]], [[2, 15, 5, 3, 2], [v = -2^(1/2), And(-v < u,u
< 3^(1/2)), And(-1 < x,x < u^2-3), And(x < y,y < x-u^2+3), z = -(y-x)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097
/2097152], [-3198693/4194304, -3198693/4194304], [-4194305/8388608, -4194305/
8388608], [-1074733/2097152, -268683/524288]]]], [[2, 15, 5, 3, 3], [v = -2^(1
/2), And(-v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), And(x < y,y < x-u^2+3), 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [-3198693/4194304, -\
3198693/4194304], [-4194305/8388608, -4194305/8388608], [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(x <
y,y < x-u^2+3), z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-3198693/4194304, -3198693/
4194304], [-4194305/8388608, -4194305/8388608], [268683/524288, 537367/1048576
]]]], [[2, 15, 5, 3, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-1 < x,x
< u^2-3), And(x < y,y < x-u^2+3), (y-x)^(1/2) < z], [regular_chain, [[-1482911
/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-3198693/
4194304, -3198693/4194304], [-4194305/8388608, -4194305/8388608], [2, 2]]]], [
[2, 19, 8, 1, 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], [-6, -6],
[0, 0]]]], [[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], [6860721/
1048576, 3430361/524288], [-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], [6860721/1048576, 3430361/524288], [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], [6860721/1048576, 3430361/524288], [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 < 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [-1, -1], [0, 0]]]], [
[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 = x, z < 0], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [0, 0], [-1/2, -1/2], [-1/2, -1/2], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [0, 0], [-1/2, -1/2], [-1/2, -1/2], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [0, 0], [-1/2, -1/2], [-1/2, -1/2], [1, 1]]]], [[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 < 0), z = z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1, 1], [-\
5812145/2097152, -5812145/2097152], [0, 0]]]], [[4, 1, 10, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5
, 1], [v = -1, And(-1 < u,u < 0), x = 1, And(1 < y,y < u^2+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(1 < y,y < u^2+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(1 < 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], [9/8, 9/8], [0, 0]]]], [[4, 7,
10, 5, 4], [v = -1, And(-1 < u,u < 0), x = 1, And(1 < y,y < u^2+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(1 < y,y < u^2+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-u^2+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, 8, 2],
[v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), y = x-u^2+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, 8, 3], [v = -1, And(0 < u,u < 1), And(
-1 < x,x < -u^2), y = x-u^2+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, 8, 4], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), y = x-u^2+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, 8, 5], [v = -1, And(0 < u,u
< 1), And(-1 < x,x < -u^2), y = x-u^2+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, 9, 1]
, [v = -1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, u^2+x < y, z < -(y-x)^(1/2)],
[regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [2, 2], [6, 6],
[-3, -3]]]], [[4, 13, 11, 9, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x,
u^2+x < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 
3299097/2097152], [2, 2], [6, 6], [-2, -2]]]], [[4, 13, 11, 9, 3], [v = -1, 
And(2^(1/2) < u,u < 3^(1/2)), 1 < x, u^2+x < y, And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [2, 2
], [6, 6], [0, 0]]]], [[4, 13, 11, 9, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)
), 1 < x, u^2+x < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [3299097/
2097152, 3299097/2097152], [2, 2], [6, 6], [2, 2]]]], [[4, 13, 11, 9, 5], [v =
-1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, u^2+x < y, (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [2, 2], [6, 6],
[3, 3]]]], [[4, 15, 5, 5, 1], [v = -1, 3^(1/2) < u, And(-1 < x,x < 0), And(x <
y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)
^(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(x < y,y
< 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = -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],
[836497/524288, 1672995/1048576], [-2, -2]]]], [[5, 5, 10, 6, 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], [836497/524288, 1672995/1048576], [-1618333/2097152, -3236665/4194304]
]]], [[5, 5, 10, 6, 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], [
836497/524288, 1672995/1048576], [-1/8388608, -1/8388608]]]], [[5, 5, 10, 6, 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], [836497/524288, 1672995/1048576], [404583/524288, 
809167/1048576]]]], [[5, 5, 10, 6, 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], [836497/524288, 
1672995/1048576], [2, 2]]]], [[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(u^2-v^2+x+1 < y,y < x-u^2+v^2+1), z < -(
y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [5/8, 5/8],
[-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(u^2-v^2+x+1 < y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [5/8, 5/8], [-1, -1]]]], [
[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(u^2-v^2+x+1 < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2)
)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [5/8, 5/8], [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(u^2-v^2+x+1 < y,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain
, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [5/8, 5/8], [1, 1]]]], [[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(u^2-v^
2+x+1 < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [
0, 0], [-3/8, -3/8], [5/8, 5/8], [2, 2]]]], [[5, 8, 3, 1, 1], [And(-1 < v,v <
0), u = -v, And(-1 < x,x < 0), y < x, z = z], [regular_chain, [[-1/2, -1/2], [
1/2, 1/2], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[5, 9, 10, 7, 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, 7, 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, 7, 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, 7, 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, 7, 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, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 9, 4, 1], [v = 0, And(-2^(1/2) <
u,u < -1), And(u^2-1 < x,x < 1), y = x-u^2+1, z = z], [regular_chain, [[0, 0],
[-1265743/1048576, -1265743/1048576], [1527887/2097152, 1527887/2097152], [
35579/131072, 284633/1048576], [0, 0]]]], [[6, 8, 5, 2, 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, 2, 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, 2, 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,
10, 8, 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], [
1812519/524288, 3625039/1048576], [-3, -3]]]], [[6, 9, 10, 8, 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], [1812519/524288, 3625039/
1048576], [-410915/262144, -3287319/2097152]]]], [[6, 9, 10, 8, 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], [
1812519/524288, 3625039/1048576], [-1/4194304, -1/4194304]]]], [[6, 9, 10, 8,
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], [1812519/
524288, 3625039/1048576], [1643659/1048576, 410915/262144]]]], [[6, 9, 10, 8,
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], [1812519/
524288, 3625039/1048576], [3, 3]]]], [[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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(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(x < y,y < x-u^2
+v^2+1), z = -(y-x)^(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(x < y,y < x-u^2+v^2+1), And(-(y-x)
^(1/2) < z,z < (y-x)^(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(x < y,y < x-u^2+v^2+1), z = (y-x)^(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(x < y,y < x-u^2+v^2+1), (y-x)^(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 = x-u^2+2, z = z], [regular_chain, [[1, 1], [-3, -3], [-5, -5], [-12, -\
12], [0, 0]]]], [[8, 2, 5, 1, 1], [v = 1, u = -3^(1/2), And(-1 < x,x < 0), y <
x-1, z = z], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-\
1/2, -1/2], [-3, -3], [0, 0]]]], [[8, 8, 6, 1, 1], [v = 1, u = 0, x = 0, y < 0
, z = z], [regular_chain, [[1, 1], [0, 0], [0, 0], [-1, -1], [0, 0]]]], [[8, 9
, 11, 1, 1], [v = 1, And(0 < u,u < 1), 1 < x, y < 0, z = z], [regular_chain, [
[1, 1], [1/2, 1/2], [2, 2], [-1, -1], [0, 0]]]], [[8, 14, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6,
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, 7, 1
], [v = 1, 3^(1/2) < u, x = u^2-2, 2*u^2-2 < y, z < -(y-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [7, 7], [17, 17], [-5, -5]]]], [[8, 15, 10, 7,
2], [v = 1, 3^(1/2) < u, x = u^2-2, 2*u^2-2 < y, z = -(y-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [7, 7], [17, 17], [-3315889/1048576, -207243/
65536]]]], [[8, 15, 10, 7, 3], [v = 1, 3^(1/2) < u, x = u^2-2, 2*u^2-2 < y, 
And(-(y-u^2+2)^(1/2) < z,z < (y-u^2+2)^(1/2))], [regular_chain, [[1, 1], [3, 3
], [7, 7], [17, 17], [0, 0]]]], [[8, 15, 10, 7, 4], [v = 1, 3^(1/2) < u, x = u
^2-2, 2*u^2-2 < y, z = (y-u^2+2)^(1/2)], [regular_chain, [[1, 1], [3, 3], [7,
7], [17, 17], [207243/65536, 3315889/1048576]]]], [[8, 15, 10, 7, 5], [v = 1,
3^(1/2) < u, x = u^2-2, 2*u^2-2 < y, (y-u^2+2)^(1/2) < z], [regular_chain, [[1
, 1], [3, 3], [7, 7], [17, 17], [5, 5]]]], [[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, 0
< y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-1417877/2097152, -354469/524288], [-3, -3], [1, 1], [-3, -3]]]], [[9, 8, 1, 7
, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x < -2, 0 < y, z = -(y-x)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152,
-354469/524288], [-3, -3], [1, 1], [-2, -2]]]], [[9, 8, 1, 7, 3], [And(1 < v,v
< 2^(1/2)), u = -(v^2-1)^(1/2), x < -2, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^
(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [-3, -3], [1, 1], [0, 0]]]], [[9, 8, 1, 7, 4], [And(
1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x < -2, 0 < y, z = (y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-3, -3], [1, 1], [2, 2]]]], [[9, 8, 1, 7, 5], [And(1 < v,v < 2^(1/2
)), u = -(v^2-1)^(1/2), x < -2, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-3, -3
], [1, 1], [3, 3]]]], [[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(u^2-v^2+x+1 < y,y < x), z = z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-4, -4], [-\
4433959/1048576, -4433959/1048576], [0, 0]]]], [[9, 10, 4, 1, 1], [And(1 < v,v
< 2^(1/2)), u = (v^2-1)^(1/2), x = -1, y < -1, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-1, -1],
[-2, -2], [0, 0]]]], [[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-1, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [121853/65536, 1949649/1048576], [-1/2, -1/2], [-3, -3], [0,
0]]]], [[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 = x-u^2+v^2+1, z = z], [regular_chain, [[1265743/1048576,
1265743/1048576], [3, 3], [7909297/2097152, 7909297/2097152], [-2906073/
1048576, -11624291/4194304], [0, 0]]]], [[10, 5, 1, 4, 1], [v = 2^(1/2), And(-
3^(1/2) < u,u < -v), x < -u^2+1, y = x-u^2+3, z < -(-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-3, -3], [-2594959/1048576, -1297479/524288], [-2, -2]]]], [[10, 5,
1, 4, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x < -u^2+1, y = x-u^2+3, z =
-(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195
/4194304, -6598195/4194304], [-3, -3], [-2594959/1048576, -1297479/524288], [-\
379975/524288, -1519899/2097152]]]], [[10, 5, 1, 4, 3], [v = 2^(1/2), And(-3^(
1/2) < u,u < -v), x < -u^2+1, y = x-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], [-3, -3], [-2594959/1048576, -1297479/524288], [-1
/4194304, -1/4194304]]]], [[10, 5, 1, 4, 4], [v = 2^(1/2), And(-3^(1/2) < u,u
< -v), x < -u^2+1, y = x-u^2+3, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-3, -3], [-\
2594959/1048576, -1297479/524288], [759949/1048576, 379975/524288]]]], [[10, 5
, 1, 4, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x < -u^2+1, y = x-u^2+3, (
-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [-3, -3], [-2594959/1048576, -1297479/
524288], [2, 2]]]], [[10, 6, 4, 2, 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, 2, 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,
2, 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, 4, 1, 1], [v = 2^(1/2), u = 1, x = -1, y < -1, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1, -1], [-2, -2],
[0, 0]]]], [[10, 13, 9, 5, 1], [v = 2^(1/2), And(1 < u,u < v), And(0 < x,x < 1
), And(x < y,y < u^2+x-1), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [763943/
1048576, 763943/1048576], [-2, -2]]]], [[10, 13, 9, 5, 2], [v = 2^(1/2), And(1
< u,u < v), And(0 < x,x < 1), And(x < y,y < u^2+x-1), z = -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [763943/1048576, 763943/1048576], [-501295/1048576, -\
250647/524288]]]], [[10, 13, 9, 5, 3], [v = 2^(1/2), And(1 < u,u < v), And(0 <
x,x < 1), And(x < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [763943/1048576, 763943/1048576], [0, 0]]]], [[10, 13, 9
, 5, 4], [v = 2^(1/2), And(1 < u,u < v), And(0 < x,x < 1), And(x < y,y < u^2+x
-1), z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [1/2, 1/2], [763943/1048576, 763943/1048576
], [250647/524288, 501295/1048576]]]], [[10, 13, 9, 5, 5], [v = 2^(1/2), And(1
< u,u < v), And(0 < x,x < 1), And(x < y,y < u^2+x-1), (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [763943/1048576, 763943/1048576], [2, 2]]]], [[11, 2, 8,
6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x < -2, 0 < y,
z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536],
[-3, -3], [1, 1], [-3, -3]]]], [[11, 4, 1, 7, 2], [2^(1/2) < v, u = -(v^2+1)^(
1/2), x < -2, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-3315889/
1048576, -207243/65536], [-3, -3], [1, 1], [-2, -2]]]], [[11, 4, 1, 7, 3], [2^
(1/2) < v, u = -(v^2+1)^(1/2), x < -2, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3, -3],
[1, 1], [0, 0]]]], [[11, 4, 1, 7, 4], [2^(1/2) < v, u = -(v^2+1)^(1/2), x < -2
, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243
/65536], [-3, -3], [1, 1], [2, 2]]]], [[11, 4, 1, 7, 5], [2^(1/2) < v, u = -(v
^2+1)^(1/2), x < -2, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-\
3315889/1048576, -207243/65536], [-3, -3], [1, 1], [3, 3]]]], [[11, 10, 3, 8,
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, 8, 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, 8, 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, 8, 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,
8, 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, 9, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u
< (v^2-2)^(1/2)), And(0 < x,x < 1), x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [0, 0], [1/2, 1/2], [12, 12], [-5, -5]]]], [[11, 11, 7
, 9, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x
< 1), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [0, 0], [1/
2, 1/2], [12, 12], [-3555895/1048576, -1777947/524288]]]], [[11, 11, 7, 9, 3],
[2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x < 1), x-u
^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3],
[0, 0], [1/2, 1/2], [12, 12], [0, 0]]]], [[11, 11, 7, 9, 4], [2^(1/2) < v, And
(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x < 1), x-u^2+v^2+1 < y, z =
(y-x)^(1/2)], [regular_chain, [[3, 3], [0, 0], [1/2, 1/2], [12, 12], [1777947/
524288, 3555895/1048576]]]], [[11, 11, 7, 9, 5], [2^(1/2) < v, And(-(v^2-2)^(1
/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x < 1), x-u^2+v^2+1 < y, (y-x)^(1/2) < z
], [regular_chain, [[3, 3], [0, 0], [1/2, 1/2], [12, 12], [5, 5]]]], [[11, 15,
10, 9, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 1, -u^2+v^2+2 < y,
z < -(y-1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152]
, [1, 1], [4, 4], [-3, -3]]]], [[11, 15, 10, 9, 2], [2^(1/2) < v, And((v^2-1)^
(1/2) < u,u < v), x = 1, -u^2+v^2+2 < y, z = -(y-1)^(1/2)], [regular_chain, [[
3, 3], [6111549/2097152, 6111549/2097152], [1, 1], [4, 4], [-1816187/1048576,
-3632373/2097152]]]], [[11, 15, 10, 9, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u
,u < v), x = 1, -u^2+v^2+2 < y, 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, 9, 4], [2^(1/2) < v, And((v^2-1)^(1/2
) < u,u < v), x = 1, -u^2+v^2+2 < y, z = (y-1)^(1/2)], [regular_chain, [[3, 3]
, [6111549/2097152, 6111549/2097152], [1, 1], [4, 4], [908093/524288, 1816187/
1048576]]]], [[11, 15, 10, 9, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v),
x = 1, -u^2+v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [1, 1], [4, 4], [3, 3]]]], [[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 = x-u^2+v^
2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851
/131072], [-1062385/4194304, -1062385/4194304], [66399/262144, 265597/1048576]
, [-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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1062385/4194304, -\
1062385/4194304], [66399/262144, 265597/1048576], [-373161/524288, -1492643/
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 = x-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], [-\
1062385/4194304, -1062385/4194304], [66399/262144, 265597/1048576], [-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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)],
[regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1062385/4194304, -\
1062385/4194304], [66399/262144, 265597/1048576], [746321/1048576, 373161/
524288]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1062385/4194304, -\
1062385/4194304], [66399/262144, 265597/1048576], [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 < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-9, -9], [9, 9], [-\
6, -6]]]], [[1, 1, 3, 9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
5, -5], [-9, -9], [9, 9], [-1112183/262144, -4448731/1048576]]]], [[1, 1, 3, 9
, 3], [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, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-5
, -5], [-9, -9], [9, 9], [0, 0]]]], [[1, 1, 3, 9, 4], [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 = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [-5, -5], [-9, -9], [9, 9], [4448731/1048576, 
1112183/262144]]]], [[1, 1, 3, 9, 5], [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, (y-x)^(1/2) < z], [regular_chain, [[-3
, -3], [-5, -5], [-9, -9], [9, 9], [6, 6]]]], [[1, 2, 6, 3, 1], [v < -2^(1/2),
u = -(v^2+2)^(1/2), x = 0, And(-1 < y,y < 0), z = z], [regular_chain, [[-3, -3
], [-1738867/524288, -3477733/1048576], [0, 0], [-1/2, -1/2], [0, 0]]]], [[1,
8, 7, 3, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(0 < y,y
< x), z = z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304]
, [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[1, 10, 1, 3, 1], [v < -2^(1/2), u = -(v
^2-2)^(1/2), x < -3, And(x-1 < y,y < x), z = z], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [-4, -4], [-9/2, -9/2], [0, 0]]]], [[1, 14
, 2, 3, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -2, And(-2 < y,y < 0), z < -
(y+2)^(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(-2 < y,y < 0), z = -(y+2)^(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(-2 < y,y < 0), And(-(y+2)
^(1/2) < z,z < (y+2)^(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(-2 < y,y < 0), z = (y+2)^(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(
-2 < y,y < 0), (y+2)^(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 = -u^2+v^2+1, z < -(-u^2+v^2+1)^(
1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [0, 0],
[395145/262144, 1580581/1048576], [-3, -3]]]], [[1, 15, 8, 6, 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], [
395145/262144, 1580581/1048576], [-1287385/1048576, -160923/131072]]]], [[1, 
15, 8, 6, 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], [395145/262144, 1580581/
1048576], [0, 0]]]], [[1, 15, 8, 6, 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], [395145/262144, 1580581/
1048576], [160923/131072, 1287385/1048576]]]], [[1, 15, 8, 6, 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], [
395145/262144, 1580581/1048576], [3, 3]]]], [[1, 21, 8, 1, 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], [-15, -15], [0, 0]]]], [[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-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, 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], [505467/1048576, 126367/262144], [-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], [505467/1048576, 126367/262144], [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], [505467/
1048576, 126367/262144], [1, 1]]]], [[2, 19, 1, 9, 1], [v = -2^(1/2), 2 < u, x
< -u^2+1, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [-9, -9], [1, 1], [-5, -5]]]], [[2, 19, 1, 9, 2], [v =
-2^(1/2), 2 < u, x < -u^2+1, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [-9, -9], [1, 1], [-3315889/1048576,
-207243/65536]]]], [[2, 19, 1, 9, 3], [v = -2^(1/2), 2 < u, x < -u^2+1, 0 < y,
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [-9, -9], [1, 1], [0, 0]]]], [[2, 19, 1, 9, 4], [v = -
2^(1/2), 2 < u, x < -u^2+1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [-9, -9], [1, 1], [207243/65536, 
3315889/1048576]]]], [[2, 19, 1, 9, 5], [v = -2^(1/2), 2 < u, x < -u^2+1, 0 <
y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3,
3], [-9, -9], [1, 1], [5, 5]]]], [[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(x < y,y < u^2-v^2+x+1),
z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [2, 2], [6793421/2097152, 6793421/
2097152], [-3, -3]]]], [[3, 3, 11, 7, 2], [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 = -(y-
x)^(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, 7, 3], [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), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [2, 2], [
6793421/2097152, 6793421/2097152], [0, 0]]]], [[3, 3, 11, 7, 4], [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 = (y-x)^(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, 7, 5], [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), (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-14373233/8388608, -14373233/8388608], [2, 2], [6793421/
2097152, 6793421/2097152], [3, 3]]]], [[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(x < y,y < 0)
, z < -(y-x)^(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, 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(x <
y,y < 0), z = -(y-x)^(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, 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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)
^(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, 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(x < y,y < 0)
, z = (y-x)^(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, 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(x < y,y < 0), (y-x)^(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, 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 < -u^2+v^2+1), z < -y^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [0, 0], [1, 1],
[-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 < -u^2+v^2+1), z = -y^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [0, 0], [1, 1], [-1, -1]]]], [[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 < -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], [1, 1], [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 < -u^2+v^2+1), z = y^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [0, 0], [1, 1],
[1, 1]]]], [[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 < -u^2+v^2+1), y^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [0, 0], [1, 1], [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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 6, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 1 <
x, y = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2], [
663873/262144, 2655493/1048576], [-2, -2]]]], [[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-u^2+v^2+1, z = -(-u
^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [2, 2], [663873/262144, 2655493/1048576], [
-765155/1048576, -1530309/2097152]]]], [[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-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], [2, 2], [663873/262144,
2655493/1048576], [-1/4194304, -1/4194304]]]], [[3, 13, 11, 6, 4], [And(-2^(1/
2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y = x-u^2+v^2+1, z = (-u
^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [2, 2], [663873/262144, 2655493/1048576], [
382577/524288, 765155/1048576]]]], [[3, 13, 11, 6, 5], [And(-2^(1/2) < v,v < -\
1), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576,
1454701/1048576], [2, 2], [663873/262144, 2655493/1048576], [2, 2]]]], [[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 = x-u^2+v^2+1, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [501965/
2097152, 501965/2097152], [-250983/1048576, -125491/524288], [0, 0]]]], [[4, 3
, 10, 3, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1, And(0 < y,y < -u^
2+3), z = z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304],
[1, 1], [550769/2097152, 550769/2097152], [0, 0]]]], [[4, 5, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = -1, And(0 < u,u < 1), 1 <
x, And(u^2+x < y,y < x-u^2+2), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [
1/2, 1/2], [2, 2], [3, 3], [-2, -2]]]], [[4, 9, 11, 7, 2], [v = -1, And(0 < u,
u < 1), 1 < x, And(u^2+x < y,y < x-u^2+2), z = -(y-x)^(1/2)], [regular_chain,
[[-1, -1], [1/2, 1/2], [2, 2], [3, 3], [-1, -1]]]], [[4, 9, 11, 7, 3], [v = -1
, And(0 < u,u < 1), 1 < x, And(u^2+x < y,y < x-u^2+2), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [3, 3], [0, 0]
]]], [[4, 9, 11, 7, 4], [v = -1, And(0 < u,u < 1), 1 < x, And(u^2+x < y,y < x-
u^2+2), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [3, 3
], [1, 1]]]], [[4, 9, 11, 7, 5], [v = -1, And(0 < u,u < 1), 1 < x, And(u^2+x <
y,y < x-u^2+2), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2
], [3, 3], [2, 2]]]], [[4, 11, 9, 1, 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], [-1, -1], [0, 0]]]], [[5, 2, 2, 7, 1], [And(-1 <
v,v < 0), u = -(v^2+2)^(1/2), x = -3, 0 < y, z < -(y+3)^(1/2)], [regular_chain
, [[-1/2, -1/2], [-3/2, -3/2], [-3, -3], [1, 1], [-3, -3]]]], [[5, 2, 2, 7, 2]
, [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -3, 0 < y, z = -(y+3)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-3, -3], [1, 1], [-2, -2]]]], [[5
, 2, 2, 7, 3], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -3, 0 < y, And(-(y+
3)^(1/2) < z,z < (y+3)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [
-3, -3], [1, 1], [0, 0]]]], [[5, 2, 2, 7, 4], [And(-1 < v,v < 0), u = -(v^2+2)
^(1/2), x = -3, 0 < y, z = (y+3)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2,
-3/2], [-3, -3], [1, 1], [2, 2]]]], [[5, 2, 2, 7, 5], [And(-1 < v,v < 0), u =
-(v^2+2)^(1/2), x = -3, 0 < y, (y+3)^(1/2) < z], [regular_chain, [[-1/2, -1/2]
, [-3/2, -3/2], [-3, -3], [1, 1], [3, 3]]]], [[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(
0 < y,y < x), 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
= 0, z < -3^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-3, -3], [0, 0
], [-3, -3]]]], [[5, 12, 2, 6, 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, 6, 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, 6, 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, 6, 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, 7, 4, 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, 6, 1, 3, 1], [v = 0, u =
0, x < -1, And(x < y,y < x+1), z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [0,
0], [-2, -2], [-3/2, -3/2], [-2, -2]]]], [[6, 6, 1, 3, 2], [v = 0, u = 0, x <
-1, And(x < y,y < x+1), z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [0, 0], [-\
2, -2], [-3/2, -3/2], [-1482911/2097152, -741455/1048576]]]], [[6, 6, 1, 3, 3]
, [v = 0, u = 0, x < -1, And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1
/2))], [regular_chain, [[0, 0], [0, 0], [-2, -2], [-3/2, -3/2], [0, 0]]]], [[6
, 6, 1, 3, 4], [v = 0, u = 0, x < -1, And(x < y,y < x+1), z = (y-x)^(1/2)], [
regular_chain, [[0, 0], [0, 0], [-2, -2], [-3/2, -3/2], [741455/1048576, 46341
/65536]]]], [[6, 6, 1, 3, 5], [v = 0, u = 0, x < -1, And(x < y,y < x+1), (y-x)
^(1/2) < z], [regular_chain, [[0, 0], [0, 0], [-2, -2], [-3/2, -3/2], [2, 2]]]
], [[6, 7, 9, 6, 1], [v = 0, And(0 < u,u < 1), And(0 < x,x < 1), y = x-u^2+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, 6, 2], [v = 0, And(0 < u,u < 1), And(0 < x,x < 1)
, y = x-u^2+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, 6, 3],
[v = 0, And(0 < u,u < 1), And(0 < x,x < 1), y = x-u^2+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, 6, 4], [v = 0, And(0 < u,u < 1),
And(0 < x,x < 1), y = x-u^2+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, 6, 5], [v = 0, And(0 < u,u < 1), And(0 < x,x < 1), y = x-u^2+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, 11, 11, 9, 1], [v = 0, 2^(1/2) < u, u^2-1 < x, u^2+x+1 < y, z < -(y-x
)^(1/2)], [regular_chain, [[0, 0], [3, 3], [9, 9], [20, 20], [-5, -5]]]], [[6,
11, 11, 9, 2], [v = 0, 2^(1/2) < u, u^2-1 < x, u^2+x+1 < y, z = -(y-x)^(1/2)],
[regular_chain, [[0, 0], [3, 3], [9, 9], [20, 20], [-1738867/524288, -3477733/
1048576]]]], [[6, 11, 11, 9, 3], [v = 0, 2^(1/2) < u, u^2-1 < x, u^2+x+1 < y,
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [3, 3], [9, 9
], [20, 20], [0, 0]]]], [[6, 11, 11, 9, 4], [v = 0, 2^(1/2) < u, u^2-1 < x, u^
2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[0, 0], [3, 3], [9, 9], [20, 20]
, [3477733/1048576, 1738867/524288]]]], [[6, 11, 11, 9, 5], [v = 0, 2^(1/2) <
u, u^2-1 < x, u^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[0, 0], [3, 3],
[9, 9], [20, 20], [5, 5]]]], [[7, 2, 3, 5, 1], [And(0 < v,v < 1), u = -(v^2+2)
^(1/2), And(-3 < x,x < -1), And(x < y,y < 0), z < -(y-x)^(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(
x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)
^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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+1, 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, 6, 2], [And(0 < v,v < 1), u = v, And(-1 < x,x < 0), y = x+1, 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, 6, 3], [And(0 < v,v < 1), u = v, And(-1 < x,x < 0), y = x+1, 
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, 6, 4], [And(0 < v,v < 1), u = v, And(-1 < x,x <
0), y = x+1, 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, 6, 5], [And(0 < v,v < 1), u = v, And(-1 < x,x
< 0), y = x+1, 1 < z], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1/2, -1/2],
[1/2, 1/2], [2, 2]]]], [[7, 9, 11, 3, 1], [And(0 < v,v < 1), And(v < u,u < (v^
2+1)^(1/2)), 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [2, 2], [1, 1], [0, 0]]]], [[7, 10, 8, 1, 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], [-1, -1], [0, 0]]]], [[
7, 12, 1, 4, 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, 4, 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, 4, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 10, 8, 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], [1288231/524288, 2576463/1048576], [-3, -3
]]]], [[8, 5, 10, 8, 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], [
1288231/524288, 2576463/1048576], [-1265743/1048576, -1265743/1048576]]]], [[8
, 5, 10, 8, 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
], [1288231/524288, 2576463/1048576], [0, 0]]]], [[8, 5, 10, 8, 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], [1288231/524288, 2576463/1048576
], [1265743/1048576, 1265743/1048576]]]], [[8, 5, 10, 8, 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], [1288231/524288, 2576463/1048576], [3, 3]
]]], [[8, 11, 1, 2, 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, 2, 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, 2, 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, 12, 3, 7, 1], [v = 1, u = 2^(1/2
), And(-2 < x,x < -1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [
741455/524288, 1482911/1048576], [-3/2, -3/2], [2, 2], [-3, -3]]]], [[8, 12, 3
, 7, 2], [v = 1, u = 2^(1/2), And(-2 < x,x < -1), x+2 < y, z = -(y-x)^(1/2)],
[regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [2, 2
], [-7846825/4194304, -980853/524288]]]], [[8, 12, 3, 7, 3], [v = 1, u = 2^(1/
2), And(-2 < x,x < -1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [2, 2]
, [0, 0]]]], [[8, 12, 3, 7, 4], [v = 1, u = 2^(1/2), And(-2 < x,x < -1), x+2 <
y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576]
, [-3/2, -3/2], [2, 2], [980853/524288, 1961707/1048576]]]], [[8, 12, 3, 7, 5]
, [v = 1, u = 2^(1/2), And(-2 < x,x < -1), x+2 < y, (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [2, 2]
, [3, 3]]]], [[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 < 0), z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3], [-1/2, -1/2]
, [-3, -3]]]], [[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 < 0), z = -(y-x)^(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, 5, 3], [And(1 < v,v
< 2^(1/2)), u = -(v^2+1)^(1/2), x < -2, And(x+2 < y,y < 0), And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
410915/262144, -3287319/2097152], [-3, -3], [-1/2, -1/2], [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 <
0), z = (y-x)^(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, 5, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(
1/2), x < -2, And(x+2 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3], [-1/2
, -1/2], [3, 3]]]], [[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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z < -(y-
x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-3, -3], [-8388607/4194304, -8388607/4194304], [-3
, -3]]]], [[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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701
/1048576], [-3, -3], [-8388607/4194304, -8388607/4194304], [-1048577/1048576,
-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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [-3, -3], [-8388607/4194304, -8388607/
4194304], [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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = (y-x
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-3, -3], [-8388607/4194304, -8388607/4194304], [1,
1048577/1048576]]]], [[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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), (y-x)^(1
/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-3, -3], [-8388607/4194304, -8388607/4194304], [3,
3]]]], [[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 < -(y+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1643659/1048576, 410915/262144], [-1, -1], [-1/2, -1/2], [-\
2, -2]]]], [[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 = -(y+1)^(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, 3, 3], [And(1 < v,v < 2^(1/2
)), u = (v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+
1)^(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 = (y+
1)^(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, 3, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -1, 
And(-1 < y,y < 0), (y+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1643659/1048576, 410915/262144], [-1, -1], [-1/2, -1/2], [2
, 2]]]], [[10, 2, 8, 7, 1], [v = 2^(1/2), u = -2, x = 1, 4 < y, z < -(y-1)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [1, 1], [5,
5], [-3, -3]]]], [[10, 2, 8, 7, 2], [v = 2^(1/2), u = -2, x = 1, 4 < y, z = -(
y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [1,
1], [5, 5], [-2, -2]]]], [[10, 2, 8, 7, 3], [v = 2^(1/2), u = -2, x = 1, 4 < y
, 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, 7, 4], [v =
2^(1/2), u = -2, x = 1, 4 < y, z = (y-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [1, 1], [5, 5], [2, 2]]]], [[10, 2, 8, 7,
5], [v = 2^(1/2), u = -2, x = 1, 4 < y, (y-1)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-2, -2], [1, 1], [5, 5], [3, 3]]]], [[10, 4,
2, 1, 1], [v = 2^(1/2), u = -3^(1/2), x = -2, y < -2, z = z], [regular_chain,
[[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-2,
-2], [-3, -3], [0, 0]]]], [[10, 9, 1, 6, 1], [v = 2^(1/2), And(-1 < u,u < 0),
x < u^2-3, y = x-u^2+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, 6, 2], [v = 2^(1/2), And(-1 < u,u < 0), x < u^2-3, y = x-u^2+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, 6,
3], [v = 2^(1/2), And(-1 < u,u < 0), x < u^2-3, y = x-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], [-4, -4], [-5/4, -5/4], [-1/4194304, -1/4194304]]]], [[10, 9,
1, 6, 4], [v = 2^(1/2), And(-1 < u,u < 0), x < u^2-3, y = x-u^2+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, 6, 5], [
v = 2^(1/2), And(-1 < u,u < 0), x < u^2-3, y = x-u^2+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, 7, 1], [v = 2^(1/2), u = 0, And(-3 < x,x < -\
1), And(0 < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[10, 10, 3, 7, 2
], [v = 2^(1/2), u = 0, And(-3 < x,x < -1), And(0 < y,y < x+3), z = -(y-x)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-2, -2], [1/2
, 1/2], [-3315889/2097152, -207243/131072]]]], [[10, 10, 3, 7, 3], [v = 2^(1/2
), u = 0, And(-3 < x,x < -1), And(0 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-
x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-2, -2
], [1/2, 1/2], [0, 0]]]], [[10, 10, 3, 7, 4], [v = 2^(1/2), u = 0, And(-3 < x,
x < -1), And(0 < y,y < x+3), z = (y-x)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [0, 0], [-2, -2], [1/2, 1/2], [207243/131072, 1657945/
1048576]]]], [[10, 10, 3, 7, 5], [v = 2^(1/2), u = 0, And(-3 < x,x < -1), And(
0 < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [0, 0], [-2, -2], [1/2, 1/2], [3, 3]]]], [[10, 16, 4, 3, 1], [v = 2^
(1/2), u = 3^(1/2), x = -1, And(-1 < y,y < 0), z < -(y+1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-1, -1], [-1/2, -1/2], [-2, -2]]]], [[10, 16, 4, 3, 2], [v = 2^(1/2
), u = 3^(1/2), x = -1, And(-1 < y,y < 0), z = -(y+1)^(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, 3, 3], [v =
2^(1/2), u = 3^(1/2), x = -1, And(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1
)^(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 = (y+1)^(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, 3, 5], [v = 2^(1/2), u = 3^(1/2), x = -1, And(-1 < y,y < 0), (y+1)^(1/2) <
z], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187
/1048576], [-1, -1], [-1/2, -1/2], [2, 2]]]], [[10, 17, 9, 7, 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-1), z < -(
y-x)^(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, 7, 2], [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-1), z = -(y-x)^(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, 7, 3], [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-1), And(-(y-x)^(1/2)
< z,z < (y-x)^(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, 7, 4], [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-1), z = (y-x)^(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, 7, 5], [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-1), (y-x)^(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, 4, 9, 1], [v = 2^(1/2), u = 2, x = -1, 2 < y, z
< -(y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-\
1, -1], [3, 3], [-3, -3]]]], [[10, 18, 4, 9, 2], [v = 2^(1/2), u = 2, x = -1,
2 < y, z = -(y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
2, 2], [-1, -1], [3, 3], [-2, -2]]]], [[10, 18, 4, 9, 3], [v = 2^(1/2), u = 2,
x = -1, 2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [2, 2], [-1, -1], [3, 3], [0, 0]]]], [[10, 18
, 4, 9, 4], [v = 2^(1/2), u = 2, x = -1, 2 < y, z = (y+1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1, -1], [3, 3], [2
, 2]]]], [[10, 18, 4, 9, 5], [v = 2^(1/2), u = 2, x = -1, 2 < y, (y+1)^(1/2) <
z], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1, -1], [3, 3
], [3, 3]]]], [[10, 19, 9, 1, 1], [v = 2^(1/2), 2 < u, And(1 < x,x < u^2-3), y
< x-u^2+3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3],
[7/2, 7/2], [-4, -4], [0, 0]]]], [[11, 6, 4, 3, 1], [2^(1/2) < v, u = -v, x =
0, And(0 < y,y < 1), 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(0
< y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < x),
z = z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [2, 2],
[1, 1], [0, 0]]]], [[11, 12, 3, 3, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-3
< x,x < -1), And(x-1 < y,y < x), z = z], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [-2, -2], [-5/2, -5/2], [0, 0]]]], [[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 = 0, z = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288],
[133259/524288, 133259/524288], [0, 0], [0, 0]]]], [[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-u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [1566621/2097152, 1566621/2097152], [1048577/2097152, 
1048577/2097152], [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(0 < y,y < x), z = z], [regular_chain, [[-3, -3],
[-3315889/1048576, -207243/65536], [2, 2], [1, 1], [0, 0]]]], [[1, 6, 3, 5, 1]
, [v < -2^(1/2), u = v, And(-1 < x,x < 0), And(0 < y,y < x+1), z < -(y-x)^(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+1
), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [-1/2, -1/2], [1/4,
1/4], [-1816187/2097152, -3632373/4194304]]]], [[1, 6, 3, 5, 3], [v < -2^(1/2)
, u = v, And(-1 < x,x < 0), And(0 < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[-3, -3], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [-1/
8388608, -1/8388608]]]], [[1, 6, 3, 5, 4], [v < -2^(1/2), u = v, And(-1 < x,x
< 0), And(0 < y,y < x+1), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-3, -3
], [-1/2, -1/2], [1/4, 1/4], [908093/1048576, 454047/524288]]]], [[1, 6, 3, 5,
5], [v < -2^(1/2), u = v, And(-1 < x,x < 0), And(0 < y,y < x+1), (y-x)^(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 < 0)
, z < -(y+3)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096],
[-3, -3], [-3/2, -3/2], [-3, -3]]]], [[1, 12, 2, 5, 2], [v < -2^(1/2), u = (v^
2-2)^(1/2), x = -3, And(-3 < y,y < 0), z = -(y+3)^(1/2)], [regular_chain, [[-3
, -3], [2774271/1048576, 10837/4096], [-3, -3], [-3/2, -3/2], [-1284239/
1048576, -642119/524288]]]], [[1, 12, 2, 5, 3], [v < -2^(1/2), u = (v^2-2)^(1/
2), x = -3, And(-3 < y,y < 0), And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-3, -3], [-3/2, -3/2
], [0, 0]]]], [[1, 12, 2, 5, 4], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -3, And
(-3 < y,y < 0), z = (y+3)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576,
10837/4096], [-3, -3], [-3/2, -3/2], [642119/524288, 1284239/1048576]]]], [[1,
12, 2, 5, 5], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -3, And(-3 < y,y < 0), (y+
3)^(1/2) < z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-3,
-3], [-3/2, -3/2], [3, 3]]]], [[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 <
0), z = z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [
133259/524288, 133259/524288], [-133259/1048576, -133259/1048576], [0, 0]]]],
[[1, 18, 2, 4, 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, 4, 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,
4, 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, 4, 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, 4
, 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, 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 < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [129511/262144,
518045/1048576], [4, 4], [-3, -3]]]], [[1, 19, 8, 7, 2], [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 = -(y-u^
2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576]
, [129511/262144, 518045/1048576], [4, 4], [-7853497/4194304, -981687/524288]]
]], [[1, 19, 8, 7, 3], [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, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+
1)^(1/2))], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [
129511/262144, 518045/1048576], [4, 4], [0, 0]]]], [[1, 19, 8, 7, 4], [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 = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [129511/262144, 518045/1048576], [4, 4], [981687/524288, 
1963375/1048576]]]], [[1, 19, 8, 7, 5], [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, (y-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [129511/262144,
518045/1048576], [4, 4], [3, 3]]]], [[2, 3, 11, 8, 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]
, [4699771/1048576, 1174943/262144], [-3, -3]]]], [[2, 3, 11, 8, 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], [4699771/1048576, 1174943/262144], [-825991/524288,
-3303963/2097152]]]], [[2, 3, 11, 8, 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], [4699771/1048576, 1174943/262144], [-1/4194304, -1/
4194304]]]], [[2, 3, 11, 8, 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], [4699771/1048576, 
1174943/262144], [1651981/1048576, 825991/524288]]]], [[2, 3, 11, 8, 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], [4699771/1048576, 1174943/262144], [3, 3]]]], [[2, 5
, 7, 4, 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, 4, 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, 4,
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, 4, 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, 4, 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, 3, 1], [v =
-2^(1/2), u = v, x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = 1, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [1, 1], [1, 1], [-1, -1]]]], [[2, 7, 10, 4, 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, 4, 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, 8, 3,
1], [v = -2^(1/2), And(1 < u,u < -v), x = 0, And(0 < y,y < u^2-1), 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, 3, 2], [v = -2^(1/2), And(1 < u,u < -v), x = 0, And(0 < y,y < u^2-1), 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, 3, 3], [v = -2^(1/2), And(1 < u,u < -
v), x = 0, And(0 < 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], [239655/1048576, 239655/1048576], [0, 0]]]], [[2, 13, 8, 3,
4], [v = -2^(1/2), And(1 < u,u < -v), x = 0, And(0 < y,y < u^2-1), 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, 3, 5], [v = -2^(1/2), And(1 < u,u < -v), x = 0
, And(0 < y,y < u^2-1), 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, 4, 1], [v = -2^(1/2), And(-v < u,u < 3
^(1/2)), And(-1 < x,x < u^2-3), y = x-u^2+3, z < -(-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-3198693/4194304, -3198693/4194304], [-248903/1048576, -124451/
524288], [-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 = x-u^2+3, z = -(-u^2+3)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-\
3198693/4194304, -3198693/4194304], [-248903/1048576, -124451/524288], [-\
1519901/2097152, -379975/524288]]]], [[2, 15, 5, 4, 3], [v = -2^(1/2), And(-v
< u,u < 3^(1/2)), And(-1 < x,x < u^2-3), y = x-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], [-3198693/4194304, -3198693/4194304], [-\
248903/1048576, -124451/524288], [0, 0]]]], [[2, 15, 5, 4, 4], [v = -2^(1/2),
And(-v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), y = x-u^2+3, z = (-u^2+3)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [-3198693/4194304, -3198693/4194304], [-248903/1048576, -\
124451/524288], [379975/524288, 759951/1048576]]]], [[2, 15, 5, 4, 5], [v = -2
^(1/2), And(-v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), y = x-u^2+3, (-u^2+3)^
(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-3198693/4194304, -3198693/4194304], [-248903/
1048576, -124451/524288], [2, 2]]]], [[2, 19, 7, 9, 1], [v = -2^(1/2), 2 < u,
And(0 < x,x < 1), u^2+x-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [1/2, 1/2], [10, 10], [-5, -5]]]], [[2, 19,
7, 9, 2], [v = -2^(1/2), 2 < u, And(0 < x,x < 1), u^2+x-1 < y, z = -(y-x)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [1/2, 1/2], [
10, 10], [-3231929/1048576, -403991/131072]]]], [[2, 19, 7, 9, 3], [v = -2^(1/
2), 2 < u, And(0 < x,x < 1), u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2)
)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [1/2, 1/2], [
10, 10], [0, 0]]]], [[2, 19, 7, 9, 4], [v = -2^(1/2), 2 < u, And(0 < x,x < 1),
u^2+x-1 < y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [1/2, 1/2], [10, 10], [403991/131072, 3231929/1048576]]]], [[
2, 19, 7, 9, 5], [v = -2^(1/2), 2 < u, And(0 < x,x < 1), u^2+x-1 < y, (y-x)^(1
/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [1/2, 1
/2], [10, 10], [5, 5]]]], [[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(0 < y,y < u^2-v^2-1), z = z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3, -3], [6860721/1048576, 3430361/
524288], [6860721/2097152, 6860721/2097152], [0, 0]]]], [[3, 7, 10, 2, 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, 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(x
< y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-
x)^(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(x < y,y <
0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = 0, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1, 1], [0, 0],
[0, 0]]]], [[4, 1, 10, 7, 1], [v = -1, u < -3^(1/2), x = u^2-2, 2*u^2-2 < y, z
< -(y-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [7, 7], [17, 17], [-\
5, -5]]]], [[4, 1, 10, 7, 2], [v = -1, u < -3^(1/2), x = u^2-2, 2*u^2-2 < y, z
= -(y-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [7, 7], [17, 17], [-\
3315889/1048576, -207243/65536]]]], [[4, 1, 10, 7, 3], [v = -1, u < -3^(1/2),
x = u^2-2, 2*u^2-2 < y, And(-(y-u^2+2)^(1/2) < z,z < (y-u^2+2)^(1/2))], [
regular_chain, [[-1, -1], [-3, -3], [7, 7], [17, 17], [0, 0]]]], [[4, 1, 10, 7
, 4], [v = -1, u < -3^(1/2), x = u^2-2, 2*u^2-2 < y, z = (y-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [7, 7], [17, 17], [207243/65536, 3315889/
1048576]]]], [[4, 1, 10, 7, 5], [v = -1, u < -3^(1/2), x = u^2-2, 2*u^2-2 < y,
(y-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [-3, -3], [7, 7], [17, 17], [
5, 5]]]], [[4, 7, 10, 4, 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, 4, 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, 4, 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, 7, 1], [v = -1, And(0 < u,u < 1), 
And(-1 < x,x < -u^2), And(0 < y,y < x-u^2+2), z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [9/16, 9/16], [-3, -3]]]],
[[4, 9, 5, 7, 2], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), And(0 < y,y
< x-u^2+2), z = -(y-x)^(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, 7, 3], [
v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), And(0 < y,y < x-u^2+2), And(-(
y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [-5/8
, -5/8], [9/16, 9/16], [0, 0]]]], [[4, 9, 5, 7, 4], [v = -1, And(0 < u,u < 1),
And(-1 < x,x < -u^2), And(0 < y,y < x-u^2+2), z = (y-x)^(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, 7, 5], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2),
And(0 < y,y < x-u^2+2), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2
], [-5/8, -5/8], [9/16, 9/16], [3, 3]]]], [[4, 14, 1, 1, 1], [v = -1, u = 3^(1
/2), x < -3, y < x-1, z = z], [regular_chain, [[-1, -1], [908093/524288, 
1816187/1048576], [-4, -4], [-6, -6], [0, 0]]]], [[4, 15, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [And(-1 < v,v < 0), And(-(v^2+
1)^(1/2) < u,u < v), x = 1, And(1 < y,y < -u^2+v^2+2), z < -(y-1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [
1360785/1048576, 1360785/1048576], [-2, -2]]]], [[5, 5, 10, 5, 2], [And(-1 < v
,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 1, And(1 < y,y < -u^2+v^2+2), z =
-(y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [1, 1], [1360785/1048576, 1360785/1048576], [-572167/1048576, -\
1144333/2097152]]]], [[5, 5, 10, 5, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2)
< u,u < v), x = 1, And(1 < 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], [1360785/1048576, 1360785/1048576], [-1/4194304, -1/4194304]]]], [[5, 5
, 10, 5, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 1, And(1 <
y,y < -u^2+v^2+2), z = (y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [1, 1], [1360785/1048576, 1360785/1048576], [
286083/524288, 572167/1048576]]]], [[5, 5, 10, 5, 5], [And(-1 < v,v < 0), And(
-(v^2+1)^(1/2) < u,u < v), x = 1, And(1 < y,y < -u^2+v^2+2), (y-1)^(1/2) < z],
[regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [
1360785/1048576, 1360785/1048576], [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 = 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, 6, 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, 6, 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, 6, 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, 6, 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, 2, 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, 2, 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, 2, 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, 10, 8, 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], [2521309/1048576, 1260655/
524288], [-3, -3]]]], [[5, 9, 10, 8, 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], [2521309/1048576, 
1260655/524288], [-19417/16384, -1242687/1048576]]]], [[5, 9, 10, 8, 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], [2521309/1048576, 1260655/524288],
[0, 0]]]], [[5, 9, 10, 8, 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], [2521309/1048576, 1260655/524288
], [1242687/1048576, 19417/16384]]]], [[5, 9, 10, 8, 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], [
2521309/1048576, 1260655/524288], [3, 3]]]], [[6, 2, 4, 5, 1], [v = 0, u = -2^
(1/2), x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y
< 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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(0 < y,y < x-u^2+1), z = z], [regular_chain, [[0, 0], [-1265743
/1048576, -1265743/1048576], [1527887/2097152, 1527887/2097152], [35579/262144
, 35579/262144], [0, 0]]]], [[6, 8, 5, 3, 1], [v = 0, u = 1, And(-1 < x,x < 0)
, And(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-1/2,
-1/2], [-1/4, -1/4], [-2, -2]]]], [[6, 8, 5, 3, 2], [v = 0, u = 1, And(-1 < x,
x < 0), And(x < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [1, 1],
[-1/2, -1/2], [-1/4, -1/4], [-1/2, -1/2]]]], [[6, 8, 5, 3, 3], [v = 0, u = 1,
And(-1 < x,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[0, 0], [1, 1], [-1/2, -1/2], [-1/4, -1/4], [0, 0]]]], [[6, 8,
5, 3, 4], [v = 0, u = 1, And(-1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(1/2)]
, [regular_chain, [[0, 0], [1, 1], [-1/2, -1/2], [-1/4, -1/4], [1/2, 1/2]]]],
[[6, 8, 5, 3, 5], [v = 0, u = 1, And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(1
/2) < z], [regular_chain, [[0, 0], [1, 1], [-1/2, -1/2], [-1/4, -1/4], [2, 2]]
]], [[6, 9, 10, 9, 1], [v = 0, And(1 < u,u < 2^(1/2)), x = 1, u^2+2 < y, z < -
(y-1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [1,
1], [5, 5], [-3, -3]]]], [[6, 9, 10, 9, 2], [v = 0, And(1 < u,u < 2^(1/2)), x
= 1, u^2+2 < y, z = -(y-1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576,
1265743/1048576], [1, 1], [5, 5], [-2, -2]]]], [[6, 9, 10, 9, 3], [v = 0, And(
1 < u,u < 2^(1/2)), x = 1, u^2+2 < y, 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, 9, 4], [v = 0, And(1 < u,u < 2^(1/2)), x = 1, u^2+2 < y,
z = (y-1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576],
[1, 1], [5, 5], [2, 2]]]], [[6, 9, 10, 9, 5], [v = 0, And(1 < u,u < 2^(1/2)),
x = 1, u^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[0, 0], [1265743/1048576,
1265743/1048576], [1, 1], [5, 5], [3, 3]]]], [[7, 4, 3, 3, 1], [And(0 < v,v <
1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z < -(y-x)^(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, 3, 2], [And(0 < v,v < 1), u = -(v^2+
1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [And(
0 < v,v < 1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), And(-(
y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), 
And(x < y,y < 0), z = (y-x)^(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, 3, 5], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-2 <
x,x < -1), And(x < y,y < 0), (y-x)^(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, 4, 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, 4, 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, 4, 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,
3, 1, 1], [v = 1, u < -3^(1/2), And(-u^2 < x,x < -1), y < x-u^2+2, z = z], [
regular_chain, [[1, 1], [-3, -3], [-5, -5], [-13, -13], [0, 0]]]], [[8, 2, 4,
9, 1], [v = 1, u = -3^(1/2), x = -1, 2 < y, z < -(y+1)^(1/2)], [regular_chain,
[[1, 1], [-1816187/1048576, -3632373/2097152], [-1, -1], [3, 3], [-3, -3]]]],
[[8, 2, 4, 9, 2], [v = 1, u = -3^(1/2), x = -1, 2 < y, z = -(y+1)^(1/2)], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-1, -1], [3, 3]
, [-2, -2]]]], [[8, 2, 4, 9, 3], [v = 1, u = -3^(1/2), x = -1, 2 < y, And(-(y+
1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [3, 3], [0, 0]]]], [[8, 2, 4, 9, 4], [v = 1, u = -
3^(1/2), x = -1, 2 < y, z = (y+1)^(1/2)], [regular_chain, [[1, 1], [-1816187/
1048576, -3632373/2097152], [-1, -1], [3, 3], [2, 2]]]], [[8, 2, 4, 9, 5], [v
= 1, u = -3^(1/2), x = -1, 2 < y, (y+1)^(1/2) < z], [regular_chain, [[1, 1], [
-1816187/1048576, -3632373/2097152], [-1, -1], [3, 3], [3, 3]]]], [[8, 8, 6, 2
, 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, 2, 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, 2,
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, 2, 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, 6, 5, 1], [v = 1, u = 3^(1/2), x = 0, And(0 < y,y < 3), z < -y^(1/2)], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [0, 0], [3/2, 3/2],
[-3, -3]]]], [[8, 14, 6, 5, 2], [v = 1, u = 3^(1/2), x = 0, And(0 < y,y < 3),
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, 5, 3], [v =
1, u = 3^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 4], [v = 1, u = 3^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 5], [v = 1, u
= 3^(1/2), x = 0, And(0 < y,y < 3), y^(1/2) < z], [regular_chain, [[1, 1], [
908093/524288, 1816187/1048576], [0, 0], [3/2, 3/2], [3, 3]]]], [[8, 15, 10, 6
, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1],
[And(1 < v,v < 2^(1/2)), u = -v, x = 1, And(1 < y,y < 2), 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, 5, 2], [And(1 <
v,v < 2^(1/2)), u = -v, x = 1, And(1 < y,y < 2), 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, 5, 3], [And(1 < v,v < 2^(1/2)), u = -v, x = 1, And(1 < y,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], [3/2, 3/2], [0
, 0]]]], [[9, 6, 6, 5, 4], [And(1 < v,v < 2^(1/2)), u = -v, x = 1, And(1 < y,y
< 2), 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, 5, 5], [And(1 < v,v < 2^(1/2)), u = -v, x = 1, And
(1 < y,y < 2), (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, 1, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -2, y < -2,
z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152
, -354469/524288], [-2, -2], [-3, -3], [0, 0]]]], [[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 = u
^2-v^2+x+1, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0
], [-4, -4], [-4673615/1048576, -2336807/524288], [0, 0]]]], [[9, 10, 3, 7, 1]
, [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-2 < x,x < -1), x+2 < y, z <
-(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [-3/2, -3/2], [2, 2], [-3, -3]]]], [[9, 10, 3, 7, 2],
[And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-2 < x,x < -1), x+2 < y, z = -
(y-x)^(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, 7, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And
(-2 < x,x < -1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-3/2, -3/2], [2, 2], [0, 0]]]], [[9, 10, 3, 7, 4], [And(1 < v,v < 2
^(1/2)), u = (v^2-1)^(1/2), And(-2 < x,x < -1), x+2 < y, z = (y-x)^(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, 7, 5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-2 < x,x < -1), x+2
< y, (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
354469/524288, 708939/1048576], [-3/2, -3/2], [2, 2], [3, 3]]]], [[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-1,
z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 
1949649/1048576], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[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(x-u^2
+v^2+1 < y,y < 0), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [3, 3], [7909297/2097152, 7909297/2097152], [-11624291/8388608, -11624291/
8388608], [0, 0]]]], [[10, 5, 1, 3, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v)
, x < -u^2+1, And(x < y,y < x-u^2+3), z < -(y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-3, -3
], [-5740687/2097152, -5740687/2097152], [-2, -2]]]], [[10, 5, 1, 3, 2], [v =
2^(1/2), And(-3^(1/2) < u,u < -v), x < -u^2+1, And(x < y,y < x-u^2+3), z = -(y
-x)^(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, 3, 3], [v = 2^(1/2), And(-3^
(1/2) < u,u < -v), x < -u^2+1, And(x < y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [-3, -3], [-5740687/2097152, -5740687/2097152], [0
, 0]]]], [[10, 5, 1, 3, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x < -u^2+1
, And(x < y,y < x-u^2+3), z = (y-x)^(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, 3,
5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x < -u^2+1, And(x < y,y < x-u^2+3)
, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [-3, -3], [-5740687/2097152, -5740687/
2097152], [2, 2]]]], [[10, 6, 4, 1, 1], [v = 2^(1/2), u = -v, x = 0, y < 0, z
= z], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -\
741455/524288], [0, 0], [-1, -1], [0, 0]]]], [[10, 12, 4, 2, 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, 2, 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, 2, 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, 9, 6, 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], [501799/524288, 1003599/1048576], [-2, -2]]]], [[10, 13,
9, 6, 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], [501799/524288, 1003599/1048576], [-\
1417877/2097152, -354469/524288]]]], [[10, 13, 9, 6, 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], [501799/524288, 1003599/1048576], [0, 0]]]], [[
10, 13, 9, 6, 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], [501799/524288, 1003599/1048576
], [354469/524288, 708939/1048576]]]], [[10, 13, 9, 6, 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], [501799/524288, 1003599/1048576], [2, 2]]]], [[11, 2, 8, 7, 1], [2^(1/2)
< v, u = -(v^2+2)^(1/2), x = 1, 4 < y, z < -(y-1)^(1/2)], [regular_chain, [[3,
3], [-1738867/524288, -3477733/1048576], [1, 1], [5, 5], [-3, -3]]]], [[11, 2,
8, 7, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 1, 4 < y, z = -(y-1)^(1/2)], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [1, 1], [5, 5], [
-2, -2]]]], [[11, 2, 8, 7, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 1, 4 < y,
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, 7, 4], [2^(1
/2) < v, u = -(v^2+2)^(1/2), x = 1, 4 < y, z = (y-1)^(1/2)], [regular_chain, [
[3, 3], [-1738867/524288, -3477733/1048576], [1, 1], [5, 5], [2, 2]]]], [[11,
2, 8, 7, 5], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 1, 4 < y, (y-1)^(1/2) < z],
[regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [1, 1], [5, 5],
[3, 3]]]], [[11, 4, 2, 1, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -2, y < -2
, z = z], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-2, -2]
, [-3, -3], [0, 0]]]], [[11, 10, 3, 7, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), 
And(-3 < x,x < -1), And(0 < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[3
, 3], [-5548543/2097152, -2774271/1048576], [-2, -2], [1/2, 1/2], [-3, -3]]]],
[[11, 10, 3, 7, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-3 < x,x < -1), And(
0 < y,y < x+3), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152,
-2774271/1048576], [-2, -2], [1/2, 1/2], [-3315889/2097152, -207243/131072]]]]
, [[11, 10, 3, 7, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-3 < x,x < -1), 
And(0 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
3, 3], [-5548543/2097152, -2774271/1048576], [-2, -2], [1/2, 1/2], [0, 0]]]],
[[11, 10, 3, 7, 4], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-3 < x,x < -1), And(
0 < y,y < x+3), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152,
-2774271/1048576], [-2, -2], [1/2, 1/2], [207243/131072, 1657945/1048576]]]],
[[11, 10, 3, 7, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-3 < x,x < -1), And(
0 < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-5548543/2097152,
-2774271/1048576], [-2, -2], [1/2, 1/2], [3, 3]]]], [[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 = x-u^2
+v^2+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, 8, 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-u^2+v^2+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, 8, 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-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], [1/2, 1
/2], [21/2, 21/2], [0, 0]]]], [[11, 11, 7, 8, 4], [2^(1/2) < v, And(-(v^2-2)^(
1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x < 1), y = x-u^2+v^2+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, 8, 5], [2^(1/2) < v, And(-(v^2-2)^(1/
2) < u,u < (v^2-2)^(1/2)), And(0 < x,x < 1), y = x-u^2+v^2+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, 11, 1, 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], [
-1, -1], [0, 0]]]], [[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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z < -(y-
x)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1062385/
4194304, -1062385/4194304], [195745/262144, 195745/262144], [-3, -3]]]], [[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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain,
[[3, 3], [403851/131072, 403851/131072], [-1062385/4194304, -1062385/4194304],
[195745/262144, 195745/262144], [-1048577/1048576, -1]]]], [[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(x-u^
2+v^2+1 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1062385/4194304, -\
1062385/4194304], [195745/262144, 195745/262144], [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(x
-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-1062385/4194304, -1062385/4194304], [195745/
262144, 195745/262144], [1, 1048577/1048576]]]], [[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(x-u^2+v^2+1 <
y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072,
403851/131072], [-1062385/4194304, -1062385/4194304], [195745/262144, 195745/
262144], [3, 3]]]], [[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 < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-5, -5], [-9, -9], [8, 8], [-6, -6]]]], [[1, 1, 3,
8, 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, 8, 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, 8, 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, 8, 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, 6, 2, 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, 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, z
< 0], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-4, -4
], [-4, -4], [-1, -1]]]], [[1, 10, 1, 4, 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, 4, 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, 2,
2, 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, 2, 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, 2, 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, 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 < -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, 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 < -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, 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 < -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, 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 < -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, 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 < -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, 2, 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, 5, 1], [v = -2^(1/2), u < -2, x = u
^2-3, And(u^2-3 < y,y < 2*u^2-4), z < -(y-u^2+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [6, 6], [10, 10], [-3, -3]]]], [[2
, 1, 10, 5, 2], [v = -2^(1/2), u < -2, x = u^2-3, And(u^2-3 < y,y < 2*u^2-4),
z = -(y-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3, -3], [6, 6], [10, 10], [-2, -2]]]], [[2, 1, 10, 5, 3], [v = -2^(1/2), u < -\
2, x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+
3)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [6,
6], [10, 10], [0, 0]]]], [[2, 1, 10, 5, 4], [v = -2^(1/2), u < -2, x = u^2-3,
And(u^2-3 < y,y < 2*u^2-4), z = (y-u^2+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [6, 6], [10, 10], [2, 2]]]], [[2, 1, 10, 5
, 5], [v = -2^(1/2), u < -2, x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), (y-u^2+3)^
(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [6,
6], [10, 10], [3, 3]]]], [[2, 10, 2, 3, 1], [v = -2^(1/2), u = 0, x = -3, And(
-4 < y,y < -3), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [
0, 0], [-3, -3], [-7/2, -7/2], [0, 0]]]], [[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-1, z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [1/2, 1/2], [3/8, 3/8], [-2, -2], [0, 0]]
]], [[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 < 2*u^2-4), z < -(y-u^2+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [505467/1048576,
126367/262144], [1806777/1048576, 1806777/1048576], [-3, -3]]]], [[2, 17, 8, 5
, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, And(u^2-3 < y,y < 2*u^
2-4), z = -(y-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [505467/1048576, 126367/262144],
[1806777/1048576, 1806777/1048576], [-4563/4096, -1168127/1048576]]]], [[2, 17
, 8, 5, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, And(u^2-3 < y,y
< 2*u^2-4), And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+3)^(1/2))], [regular_chain, [[
-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [505467
/1048576, 126367/262144], [1806777/1048576, 1806777/1048576], [0, 0]]]], [[2,
17, 8, 5, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, And(u^2-3 < y,
y < 2*u^2-4), z = (y-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3913339/2097152, 3913339/2097152], [505467/1048576, 126367/
262144], [1806777/1048576, 1806777/1048576], [1168127/1048576, 4563/4096]]]],
[[2, 17, 8, 5, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, And(u^2-3
< y,y < 2*u^2-4), (y-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3913339/2097152, 3913339/2097152], [505467/1048576, 126367/
262144], [1806777/1048576, 1806777/1048576], [3, 3]]]], [[2, 19, 2, 1, 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], [-15, -15], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-14373233/8388608, -14373233/8388608], [2, 2], [2, 2], [-1, -1]]]],
[[3, 3, 11, 6, 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, 6, 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, 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 = x, z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-558339/2097152, -\
558339/2097152], [-139585/524288, -279169/1048576], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/2097152], [-\
139585/524288, -279169/1048576], [0, 0]]]], [[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 = x, 0 <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304,
-5818805/4194304], [-558339/2097152, -558339/2097152], [-139585/524288, -\
279169/1048576], [1, 1]]]], [[3, 11, 8, 6, 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], [411695/262144, 1646781/1048576], [-3, -3]]]], [[3, 11, 8, 6
, 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], [411695/262144, 
1646781/1048576], [-1314069/1048576, -328517/262144]]]], [[3, 11, 8, 6, 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],
[411695/262144, 1646781/1048576], [0, 0]]]], [[3, 11, 8, 6, 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], [411695/262144, 1646781/1048576], [328517/
262144, 1314069/1048576]]]], [[3, 11, 8, 6, 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], [411695/262144, 1646781/1048576], [3, 3]]]], [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
3213833/4194304, -3213833/4194304], [735353/2097152, 735353/2097152], [-3, -3]
]]], [[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(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3213833/4194304, -3213833/4194304], [735353/2097152, 
735353/2097152], [-1108163/1048576, -554081/524288]]]], [[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(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3213833/4194304, -3213833/4194304], [735353/2097152, 
735353/2097152], [0, 0]]]], [[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(0 < y,y < u^2-v^2+x+
1), z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [
735353/2097152, 735353/2097152], [554081/524288, 1108163/1048576]]]], [[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(0 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
3213833/4194304, -3213833/4194304], [735353/2097152, 735353/2097152], [3, 3]]]
], [[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-u^2+v^2+1 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [2, 2], [3, 3], [-2, -2]]]], [[3, 13, 11, 7, 2], [And(-2^(1/
2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(x-u^2+v^2+1 < y,y <
u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [2, 2], [3, 3], [-1, -1]]]], [[3
, 13, 11, 7, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 1 <
x, And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [2, 2], [3, 3], [0, 0]]]], [[3, 13, 11, 7, 4], [And(-2^(1/2)
< v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(x-u^2+v^2+1 < y,y < u^2
-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [2, 2], [3, 3], [1, 1]]]], [[3,
13, 11, 7, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 1 < x
, And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2]
, [3, 3], [2, 2]]]], [[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(x-u^2+v^2+1 < 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, 2, 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, 5, 1], [v = -1, And(-
2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), And(x-u^2+2 < y,y < 0), z < -(y-x)
^(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(x-u^2+2 < y,y < 0), z = -(y-x)^(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(x-u
^2+2 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x-u^2+2 < y,y < 0), z = (
y-x)^(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(x-u^2+2 < y,y < 0), (y-x)^(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 = x-u^2+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, 8, 2], [v = -1, And(0 < u,u < 1), 1 < x, y = x-u^2+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, 8, 3], [v = -1, And(0 < u,u < 1)
, 1 < x, y = x-u^2+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, 8, 4], [v = -1, And(0 < u,u < 1), 1 < x, y = x-u^2+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, 8, 5], [v = -1, And(0 < u,u < 1), 1 < x, y = x-u^2
+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, 9, 2, 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, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 = 0, z = z], [regular_chain, [[-1/2, -1/2],
[-343151/262144, -343151/262144], [243021/1048576, 243021/1048576], [0, 0], [0
, 0]]]], [[5, 12, 2, 7, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -3, 0 <
y, z < -(y+3)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-3, -3], [1,
1], [-3, -3]]]], [[5, 12, 2, 7, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x =
-3, 0 < y, z = -(y+3)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-3,
-3], [1, 1], [-2, -2]]]], [[5, 12, 2, 7, 3], [And(-1 < v,v < 0), u = (v^2+2)^(
1/2), x = -3, 0 < y, And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))], [regular_chain, [
[-1/2, -1/2], [3/2, 3/2], [-3, -3], [1, 1], [0, 0]]]], [[5, 12, 2, 7, 4], [And
(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -3, 0 < y, z = (y+3)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-3, -3], [1, 1], [2, 2]]]], [[5, 12
, 2, 7, 5], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -3, 0 < y, (y+3)^(1/2)
< z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-3, -3], [1, 1], [3, 3]]]],
[[5, 13, 7, 5, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(0 < x,x < 1), 
And(0 < y,y < x), 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 = x, z < 0],
[regular_chain, [[0, 0], [0, 0], [-2, -2], [-2, -2], [-1, -1]]]], [[6, 6, 1, 2
, 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, 2, 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, 5, 1], [v = 0, And(0 < u,u < 1), And(0 < x,x < 1), And(x < y,y < x-u^2+1)
, z < -(y-x)^(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(x < y,y < x-u^2+1), z = -(y-x)^(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(x < y,y < x-u^2+1), And(
-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < x-u^2+1), z = (y-x)^(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(x < y,y < x-u^2+1),
(y-x)^(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 < x-u^2+v^2+1, z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [-11, -\
11], [-20, -20], [0, 0]]]], [[7, 2, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [And(0
< v,v < 1), u = v, And(-1 < x,x < 0), And(0 < y,y < x+1), z < -(y-x)^(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
+1), z = -(y-x)^(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, 5, 3], [And(0
< v,v < 1), u = v, And(-1 < x,x < 0), And(0 < y,y < x+1), And(-(y-x)^(1/2) < z
,z < (y-x)^(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, 5, 4], [And(0 < v,v < 1), u =
v, And(-1 < x,x < 0), And(0 < y,y < x+1), z = (y-x)^(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, 5, 5], [And(0 < v,v < 1), u = v, And(-1 < x,x < 0), And
(0 < y,y < x+1), (y-x)^(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 = 0, z = z], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [2, 2], [0, 0], [0, 0]]]], [[7, 10, 7, 7, 1
], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(0 < x,x < 1), x+2 < y, z < -(y-x)
^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [1/2,
1/2], [4, 4], [-3, -3]]]], [[7, 10, 7, 7, 2], [And(0 < v,v < 1), u = (v^2+1)^(
1/2), And(0 < x,x < 1), x+2 < y, z = -(y-x)^(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, 7, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2), 
And(0 < x,x < 1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [1/2, 1/2], [4,
4], [0, 0]]]], [[7, 10, 7, 7, 4], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(0
< x,x < 1), x+2 < y, z = (y-x)^(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, 7, 5], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(0 < x,x < 1),
x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1172343/1048576, 
146543/131072], [1/2, 1/2], [4, 4], [3, 3]]]], [[7, 12, 1, 3, 1], [And(0 < v,v
< 1), u = (v^2+2)^(1/2), x < -3, And(x-1 < y,y < x), z = z], [regular_chain, [
[1/2, 1/2], [3/2, 3/2], [-4, -4], [-9/2, -9/2], [0, 0]]]], [[8, 4, 5, 7, 1], [
v = 1, u = -2^(1/2), And(-1 < x,x < 0), x+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [3,
3], [-3, -3]]]], [[8, 4, 5, 7, 2], [v = 1, u = -2^(1/2), And(-1 < x,x < 0), x+
2 < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [-1/2, -1/2], [3, 3], [-7846825/4194304, -980853/524288]]]], [[8, 4,
5, 7, 3], [v = 1, u = -2^(1/2), And(-1 < x,x < 0), x+2 < y, And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [-1/2, -1/2], [3, 3], [0, 0]]]], [[8, 4, 5, 7, 4], [v = 1, u = -2^(1/
2), And(-1 < x,x < 0), x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [3, 3], [980853/524288, 
1961707/1048576]]]], [[8, 4, 5, 7, 5], [v = 1, u = -2^(1/2), And(-1 < x,x < 0)
, x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [3, 3], [3, 3]]]], [[8, 5, 10, 9, 1], [v = 1, 
And(-2^(1/2) < u,u < -1), x = 1, u^2+1 < y, z < -(y-1)^(1/2)], [regular_chain,
[[1, 1], [-1265743/1048576, -1265743/1048576], [1, 1], [4, 4], [-3, -3]]]], [[
8, 5, 10, 9, 2], [v = 1, And(-2^(1/2) < u,u < -1), x = 1, u^2+1 < y, z = -(y-1
)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1, 1
], [4, 4], [-1816187/1048576, -3632373/2097152]]]], [[8, 5, 10, 9, 3], [v = 1,
And(-2^(1/2) < u,u < -1), x = 1, u^2+1 < y, 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, 9, 4], [v = 1, And(-2^(1/2) <
u,u < -1), x = 1, u^2+1 < y, z = (y-1)^(1/2)], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [1, 1], [4, 4], [908093/524288, 1816187/
1048576]]]], [[8, 5, 10, 9, 5], [v = 1, And(-2^(1/2) < u,u < -1), x = 1, u^2+1
< y, (y-1)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [1, 1], [4, 4], [3, 3]]]], [[8, 11, 1, 1, 1], [v = 1, And(1 < u,u <
2^(1/2)), x < -u^2, y < x, z = z], [regular_chain, [[1, 1], [1265743/1048576,
1265743/1048576], [-3, -3], [-4, -4], [0, 0]]]], [[8, 12, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6
, 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, 2, 8, 5, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2)
, x = 1, And(1 < y,y < 4), 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, 5, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/
2), x = 1, And(1 < y,y < 4), 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, 5, 3], [And(1 < v,v <
2^(1/2)), u = -(v^2+2)^(1/2), x = 1, And(1 < y,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], [5/2, 5/2], [0, 0]]]], [[9, 2, 8,
5, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x
= 1, And(1 < y,y < 4), (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, 1, 6, 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
, 6, 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, 6, 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, 6, 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, 6, 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, 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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-3, -3], [-646847/262144, -2587387/1048576], [-2, -2]]]], [[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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [-\
646847/262144, -2587387/1048576], [-765155/1048576, -1530309/2097152]]]], [[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 = x-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], [-3, -3], [-646847/262144, -2587387/1048576], [-1/4194304, -1/
4194304]]]], [[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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-3, -3], [-646847/262144, -2587387/1048576], [382577/524288, 765155
/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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-3, -3], [-646847/262144, -2587387/1048576], [2, 2]]]], [[9, 14, 4,
2, 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, 2, 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, 2, 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, 9, 1,
1], [v = 2^(1/2), u = -2, 1 < x, y < 0, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [2, 2], [-1, -1], [0, 0]]]], [[10, 4, 2, 2
, 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, 2, 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,
2, 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, 5, 1], [v = 2^(1/2), And(-1 < u,u < 0), x
< u^2-3, And(x < y,y < x-u^2+3), z < -(y-x)^(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(x < y,y < x
-u^2+3), z = -(y-x)^(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(x < y,y < x
-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < x-
u^2+3), z = (y-x)^(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(x < y,y < x-u
^2+3), (y-x)^(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 = 0, z < -(-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [-2, -2], [0, 0], [-3, -3]]]], [[10,
10, 3, 6, 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, 6, 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, 6, 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, 6, 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
, 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 = u^2+x-1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [3913339/2097152, 3913339/2097152], [388511/524288, 388511/524288],
[3379641/1048576, 1689821/524288], [-3, -3]]]], [[10, 17, 9, 8, 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], [3379641/1048576, 1689821/
524288], [-825991/524288, -3303963/2097152]]]], [[10, 17, 9, 8, 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], [3379641
/1048576, 1689821/524288], [-1/4194304, -1/4194304]]]], [[10, 17, 9, 8, 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], [3379641/1048576, 
1689821/524288], [1651981/1048576, 825991/524288]]]], [[10, 17, 9, 8, 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], [3379641/1048576, 1689821/
524288], [3, 3]]]], [[10, 18, 5, 1, 1], [v = 2^(1/2), u = 2, And(-1 < x,x < 0)
, y < x-1, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2],
[-1/2, -1/2], [-3, -3], [0, 0]]]], [[10, 19, 9, 2, 1], [v = 2^(1/2), 2 < u, 
And(1 < x,x < u^2-3), y = x-u^2+3, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [7/2, 7/2], [-5/2, -5/2], [0, 0]]]], [[11, 6, 4, 2,
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, 2, 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, 2, 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, 2, 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, 4, 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, 4, 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, 4, 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, 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(0 < y,y < x), 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-u^2+v^2+1, z = z], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [1566621/2097152,
1566621/2097152], [132633/524288, 265267/1048576], [0, 0]]]], [[11, 21, 2, 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 = z], [regular_chain, [[3, 3], [5, 5], [-17, -17], [-49/2, -49/
2], [0, 0]]]], [[1, 1, 4, 6, 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, 6, 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, 6, 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,
6, 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, 6,
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, 5, 1], [v < -2^(1
/2), u = -(v^2+2)^(1/2), x = 0, And(0 < y,y < 3), z < -y^(1/2)], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [0, 0], [3/2, 3
/2], [-3, -3]]]], [[1, 2, 6, 5, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = 0,
And(0 < y,y < 3), 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, 5, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = 0, And(0 < y,y < 3),
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, 5, 4], [v < -2^(1/
2), u = -(v^2+2)^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 5], [v < -2^(1/2), u = -(v^2+2)^(1/
2), x = 0, And(0 < y,y < 3), y^(1/2) < z], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [0, 0], [3/2, 3/2], [3, 3]]]], [[1, 8, 8, 2
, 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, 5, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x < -3, And(x < y,y < x+3
), z < -(y-x)^(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 < y,y < x+3), z = -(y-x)^(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 < y,y < x+3), And(-(y-x)^(1/2) < z,z <
(y-x)^(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 < y,y < x+3), z = (y-x)^(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 < y,y < x+3), (y-x)^(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 < 0, z = z], [regular_chain, [[-3, -3], [6111549/2097152
, 6111549/2097152], [1/2, 1/2], [-1, -1], [0, 0]]]], [[1, 21, 8, 7, 1], [v < -
2^(1/2), (v^2+2)^(1/2) < u, x = 1, And(1 < y,y < u^2-v^2+2), z < -(y-1)^(1/2)]
, [regular_chain, [[-3, -3], [5, 5], [1, 1], [19/2, 19/2], [-4, -4]]]], [[1, 
21, 8, 7, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 1, And(1 < y,y < u^2-v^2+2
), z = -(y-1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [1, 1], [19/2, 19/2],
[-24456785/8388608, -1528549/524288]]]], [[1, 21, 8, 7, 3], [v < -2^(1/2), (v^
2+2)^(1/2) < u, x = 1, And(1 < y,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], [19/2, 19/2], [0, 0]]]],
[[1, 21, 8, 7, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 1, And(1 < y,y < u^2-
v^2+2), z = (y-1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [1, 1], [19/2, 19
/2], [1528549/524288, 3057099/1048576]]]], [[1, 21, 8, 7, 5], [v < -2^(1/2), (
v^2+2)^(1/2) < u, x = 1, And(1 < y,y < u^2-v^2+2), (y-1)^(1/2) < z], [
regular_chain, [[-3, -3], [5, 5], [1, 1], [19/2, 19/2], [4, 4]]]], [[2, 1, 10,
6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 2, 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, 3, 1], [v =
-2^(1/2), And(0 < u,u < 1), x = 0, And(u^2-1 < y,y < 0), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [0, 0], [-3/8,
-3/8], [0, 0]]]], [[2, 17, 8, 2, 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, 3, 1], [v = -2^(1/2), 2 < u, x < -u^2+1, And(x-u^2+3 < y,
y < x), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [
-9, -9], [-12, -12], [0, 0]]]], [[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-u^2+v^2+1 < y,y < x),
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [2, 2], [3692339/2097152, 3692339/2097152], [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(0 < y,y < u^2-v^2+1), 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, 3, 2], [And(-2^(1/2) < v,v < -1), 
And((v^2-1)^(1/2) < u,u < -v), x = 0, And(0 < y,y < u^2-v^2+1), 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, 3, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) <
u,u < -v), x = 0, And(0 < 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], [450371/2097152, 450371/2097152], [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(0 < y
,y < u^2-v^2+1), 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, 3, 5], [And(-2^(1/2)
< v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 0, And(0 < y,y < u^2-v^2+1), y
^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [0, 0], [450371/2097152, 450371/2097152], [2, 2]]]],
[[3, 13, 4, 9, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x
= -1, u^2-v^2 < y, z < -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [2, 2], [-3, -\
3]]]], [[3, 13, 4, 9, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1
/2)), x = -1, u^2-v^2 < y, z = -(y+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [2,
2], [-1816187/1048576, -3632373/2097152]]]], [[3, 13, 4, 9, 3], [And(-2^(1/2)
< v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = -1, u^2-v^2 < y, And(-(y+1)^(1
/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [2, 2], [-1/4194304, -\
1/4194304]]]], [[3, 13, 4, 9, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v
^2+1)^(1/2)), x = -1, u^2-v^2 < y, z = (y+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -\
1], [2, 2], [908093/524288, 1816187/1048576]]]], [[3, 13, 4, 9, 5], [And(-2^(1
/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = -1, u^2-v^2 < y, (y+1)^(1/
2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-1, -1], [2, 2], [3, 3]]]], [[3, 14, 1, 3, 1], [
And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x < -2, And(x < y,y < x+2), z < -
(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/
1048576, 410915/262144], [-3, -3], [-2, -2], [-2, -2]]]], [[3, 14, 1, 3, 2], [
And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x < -2, And(x < y,y < x+2), z = -
(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/
1048576, 410915/262144], [-3, -3], [-2, -2], [-1, -1]]]], [[3, 14, 1, 3, 3], [
And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x < -2, And(x < y,y < x+2), And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1643659/1048576, 410915/262144], [-3, -3], [-2, -2], [0, 0]
]]], [[3, 14, 1, 3, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x < -2,
And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1643659/1048576, 410915/262144], [-3, -3], [-2, -2], [1, 1]
]]], [[3, 14, 1, 3, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x < -2,
And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1643659/1048576, 410915/262144], [-3, -3], [-2, -2], [2, 2]
]]], [[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 = 0, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [501965/
2097152, 501965/2097152], [0, 0], [0, 0]]]], [[4, 3, 10, 9, 1], [v = -1, And(-
3^(1/2) < u,u < -2^(1/2)), x = 1, u^2+1 < y, z < -(y-1)^(1/2)], [regular_chain
, [[-1, -1], [-6598195/4194304, -6598195/4194304], [1, 1], [5, 5], [-3, -3]]]]
, [[4, 3, 10, 9, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1, u^2+1 < y
, z = -(y-1)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [1, 1], [5, 5], [-2, -2]]]], [[4, 3, 10, 9, 3], [v = -1, And(-3^(1/2
) < u,u < -2^(1/2)), x = 1, u^2+1 < y, 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, 9, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x =
1, u^2+1 < y, z = (y-1)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304,
-6598195/4194304], [1, 1], [5, 5], [2, 2]]]], [[4, 3, 10, 9, 5], [v = -1, And(
-3^(1/2) < u,u < -2^(1/2)), x = 1, u^2+1 < y, (y-1)^(1/2) < z], [regular_chain
, [[-1, -1], [-6598195/4194304, -6598195/4194304], [1, 1], [5, 5], [3, 3]]]],
[[4, 5, 5, 8, 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], [718965/1048576, 359483/524288
], [-3, -3]]]], [[4, 5, 5, 8, 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], [718965/1048576, 
359483/524288], [-1265743/1048576, -1265743/1048576]]]], [[4, 5, 5, 8, 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], [718965/1048576, 359483/524288], [0, 0]]]]
, [[4, 5, 5, 8, 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], [718965/1048576, 359483/524288
], [1265743/1048576, 1265743/1048576]]]], [[4, 5, 5, 8, 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], [718965/1048576, 359483/524288], [3, 3]]]], [[4, 10, 1, 4, 1], [v =
-1, u = 1, x < -1, y = x+1, 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 = x+1,
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 = x+1, 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 = x+1, 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 = x+1, 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
(0 < y,y < x), z = z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[5, 2, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(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, 7, 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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 7, 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(x < y,y < u^2-v^2+x+1), And
(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 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(x < y,y < u^2-v^2
+x+1), z = (y-x)^(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, 7, 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(
x < y,y < u^2-v^2+x+1), (y-x)^(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, 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 < -y^(1/2)], [
regular_chain, [[-1/2, -1/2], [3, 3], [0, 0], [39/8, 39/8], [-4, -4]]]], [[5,
13, 6, 5, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = 0, And(0 < y,y < u^2-
v^2+1), 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, 5, 3], [And(-1 < v,
v < 0), (v^2+2)^(1/2) < u, x = 0, And(0 < y,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], [39/8, 39/8], [0,
0]]]], [[5, 13, 6, 5, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = 0, And(0
< y,y < u^2-v^2+1), 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, 5, 5], [And
(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = 0, And(0 < y,y < u^2-v^2+1), y^(1/2) <
z], [regular_chain, [[-1/2, -1/2], [3, 3], [0, 0], [39/8, 39/8], [4, 4]]]], [[
6, 6, 1, 1, 1], [v = 0, u = 0, x < -1, y < x, z = z], [regular_chain, [[0, 0],
[0, 0], [-2, -2], [-3, -3], [0, 0]]]], [[6, 7, 8, 7, 1], [v = 0, And(0 < u,u <
1), x = 0, u^2+1 < y, z < -y^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [0,
0], [3, 3], [-3, -3]]]], [[6, 7, 8, 7, 2], [v = 0, And(0 < u,u < 1), x = 0, u^
2+1 < y, z = -y^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [0, 0], [3, 3], [
-1816187/1048576, -3632373/2097152]]]], [[6, 7, 8, 7, 3], [v = 0, And(0 < u,u
< 1), x = 0, u^2+1 < y, 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, 7, 4],
[v = 0, And(0 < u,u < 1), x = 0, u^2+1 < y, z = y^(1/2)], [regular_chain, [[0,
0], [1/2, 1/2], [0, 0], [3, 3], [908093/524288, 1816187/1048576]]]], [[6, 7, 8
, 7, 5], [v = 0, And(0 < u,u < 1), x = 0, u^2+1 < y, y^(1/2) < z], [
regular_chain, [[0, 0], [1/2, 1/2], [0, 0], [3, 3], [3, 3]]]], [[6, 11, 11, 7,
1], [v = 0, 2^(1/2) < u, u^2-1 < x, And(x < y,y < u^2+x+1), z < -(y-x)^(1/2)],
[regular_chain, [[0, 0], [3, 3], [9, 9], [14, 14], [-4, -4]]]], [[6, 11, 11, 7
, 2], [v = 0, 2^(1/2) < u, u^2-1 < x, And(x < y,y < u^2+x+1), z = -(y-x)^(1/2)
], [regular_chain, [[0, 0], [3, 3], [9, 9], [14, 14], [-146543/65536, -2344687
/1048576]]]], [[6, 11, 11, 7, 3], [v = 0, 2^(1/2) < u, u^2-1 < x, And(x < y,y
< u^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [
3, 3], [9, 9], [14, 14], [0, 0]]]], [[6, 11, 11, 7, 4], [v = 0, 2^(1/2) < u, u
^2-1 < x, And(x < y,y < u^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [
3, 3], [9, 9], [14, 14], [2344687/1048576, 146543/65536]]]], [[6, 11, 11, 7, 5
], [v = 0, 2^(1/2) < u, u^2-1 < x, And(x < y,y < u^2+x+1), (y-x)^(1/2) < z], [
regular_chain, [[0, 0], [3, 3], [9, 9], [14, 14], [4, 4]]]], [[7, 2, 2, 6, 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, 6, 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, 6, 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
, 6, 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, 6, 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, 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 = -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],
[836497/524288, 1672995/1048576], [-2, -2]]]], [[7, 9, 10, 6, 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]
, [836497/524288, 1672995/1048576], [-1618333/2097152, -3236665/4194304]]]], [
[7, 9, 10, 6, 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], [
836497/524288, 1672995/1048576], [-1/8388608, -1/8388608]]]], [[7, 9, 10, 6, 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], [836497/524288, 1672995/1048576], [404583/524288, 809167/
1048576]]]], [[7, 9, 10, 6, 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], [836497/524288, 1672995/1048576]
, [2, 2]]]], [[7, 10, 8, 3, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = 1, 
And(0 < y,y < 1), z = z], [regular_chain, [[1/2, 1/2], [1172343/1048576, 
146543/131072], [1, 1], [1/2, 1/2], [0, 0]]]], [[7, 12, 2, 1, 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], [-5, -5], [0, 0]]]], [[8, 4, 6, 1, 1], [v = 1, u = -2^(1
/2), x = 0, y < 0, z = z], [regular_chain, [[1, 1], [-1482911/1048576, -741455
/524288], [0, 0], [-1, -1], [0, 0]]]], [[8, 5, 11, 5, 1], [v = 1, And(-2^(1/2)
< u,u < -1), 1 < x, And(x < y,y < x-u^2+2), z < -(y-x)^(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(x < y,y < x-u^2+2), z = -(y-x)^(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(x < y,y < x-u^2+2), And(-(y-x)^(1/2) < z,
z < (y-x)^(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(x < y,y <
x-u^2+2), z = (y-x)^(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(x < y,y < x-u^2+2), (y-x)^(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 = x-u^2+2,
z < -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-3, -3], [-2576463/1048576, -1288231/524288], [-2, -2]]]], [[8, 11,
1, 4, 2], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, y = x-u^2+2, z = -(-u^2+2)
^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3, -3]
, [-2576463/1048576, -1288231/524288], [-772605/1048576, -1545209/2097152]]]],
[[8, 11, 1, 4, 3], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, y = x-u^2+2, And(
-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-3, -3], [-2576463/1048576, -1288231/524288], [-1/
4194304, -1/4194304]]]], [[8, 11, 1, 4, 4], [v = 1, And(1 < u,u < 2^(1/2)), x
< -u^2, y = x-u^2+2, z = (-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-3, -3], [-2576463/1048576, -1288231/524288], [
193151/262144, 772605/1048576]]]], [[8, 11, 1, 4, 5], [v = 1, And(1 < u,u < 2^
(1/2)), x < -u^2, y = x-u^2+2, (-u^2+2)^(1/2) < z], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-3, -3], [-2576463/1048576, -1288231/
524288], [2, 2]]]], [[8, 12, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 12, 7, 6, 1], [
And(1 < v,v < 2^(1/2)), u = v, 1 < x, y = x+1, z < -1], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2],
[3, 3], [-2, -2]]]], [[9, 12, 7, 6, 2], [And(1 < v,v < 2^(1/2)), u = v, 1 < x,
y = x+1, z = -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1265743/1048576, 1265743/1048576], [2, 2], [3, 3], [-1, -1]]]], [[9, 12, 7, 6,
3], [And(1 < v,v < 2^(1/2)), u = v, 1 < x, y = x+1, And(-1 < z,z < 1)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [2, 2], [3, 3], [0, 0]]]], [[9, 12, 7, 6, 4], [And(1 < v,v < 2^(1/2)
), u = v, 1 < x, y = x+1, z = 1], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1265743/1048576, 1265743/1048576], [2, 2], [3, 3], [1, 1]]]], [[9,
12, 7, 6, 5], [And(1 < v,v < 2^(1/2)), u = v, 1 < x, y = x+1, 1 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [2, 2], [3, 3], [2, 2]]]], [[9, 14, 4, 1, 1], [And(1 < v,v < 2^(1/2)
), u = (v^2+1)^(1/2), x = -1, y < -1, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-1, -1], [-2, -2
], [0, 0]]]], [[10, 2, 8, 1, 1], [v = 2^(1/2), u = -2, x = 1, y < 0, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [1, 1], [-1, -1],
[0, 0]]]], [[10, 4, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 7, 1], [v = 2^(1/2), u = -1, 1 < x, x+2 < y, z < -(
y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [2,
2], [5, 5], [-3, -3]]]], [[10, 8, 9, 7, 2], [v = 2^(1/2), u = -1, 1 < x, x+2 <
y, z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1,
-1], [2, 2], [5, 5], [-1816187/1048576, -3632373/2097152]]]], [[10, 8, 9, 7, 3
], [v = 2^(1/2), u = -1, 1 < x, x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [2, 2], [5, 5]
, [-1/4194304, -1/4194304]]]], [[10, 8, 9, 7, 4], [v = 2^(1/2), u = -1, 1 < x,
x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1, -1], [2, 2], [5, 5], [908093/524288, 1816187/1048576]]]], [[10, 8, 9, 7,
5], [v = 2^(1/2), u = -1, 1 < x, x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1, -1], [2, 2], [5, 5], [3, 3]]]], [[10, 10
, 3, 5, 1], [v = 2^(1/2), u = 0, And(-3 < x,x < -1), And(x < y,y < 0), z < -(y
-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) <
z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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-u^2+3
< y,y < x), 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-1, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[10, 19, 9, 7, 1], [
v = 2^(1/2), 2 < u, And(1 < x,x < u^2-3), And(x < y,y < u^2+x-1), z < -(y-x)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7/2, 7/2],
[15/2, 15/2], [-3, -3]]]], [[10, 19, 9, 7, 2], [v = 2^(1/2), 2 < u, And(1 < x,
x < u^2-3), And(x < y,y < u^2+x-1), z = -(y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [7/2, 7/2], [15/2, 15/2], [-2, -2]]]]
, [[10, 19, 9, 7, 3], [v = 2^(1/2), 2 < u, And(1 < x,x < u^2-3), And(x < y,y <
u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [7/2, 7/2], [15/2, 15/2], [0, 0]]]], [[10, 
19, 9, 7, 4], [v = 2^(1/2), 2 < u, And(1 < x,x < u^2-3), And(x < y,y < u^2+x-1
), z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3]
, [7/2, 7/2], [15/2, 15/2], [2, 2]]]], [[10, 19, 9, 7, 5], [v = 2^(1/2), 2 < u
, And(1 < x,x < u^2-3), And(x < y,y < u^2+x-1), (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7/2, 7/2], [15/2, 
15/2], [3, 3]]]], [[11, 6, 4, 5, 1], [2^(1/2) < v, u = -v, x = 0, 1 < y, z < -
y^(1/2)], [regular_chain, [[3, 3], [-3, -3], [0, 0], [2, 2], [-3, -3]]]], [[11
, 6, 4, 5, 2], [2^(1/2) < v, u = -v, x = 0, 1 < y, z = -y^(1/2)], [
regular_chain, [[3, 3], [-3, -3], [0, 0], [2, 2], [-1482911/1048576, -741455/
524288]]]], [[11, 6, 4, 5, 3], [2^(1/2) < v, u = -v, x = 0, 1 < y, And(-y^(1/2
) < z,z < y^(1/2))], [regular_chain, [[3, 3], [-3, -3], [0, 0], [2, 2], [0, 0]
]]], [[11, 6, 4, 5, 4], [2^(1/2) < v, u = -v, x = 0, 1 < y, z = y^(1/2)], [
regular_chain, [[3, 3], [-3, -3], [0, 0], [2, 2], [741455/524288, 1482911/
1048576]]]], [[11, 6, 4, 5, 5], [2^(1/2) < v, u = -v, x = 0, 1 < y, y^(1/2) <
z], [regular_chain, [[3, 3], [-3, -3], [0, 0], [2, 2], [3, 3]]]], [[11, 7, 11,
9, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, x-u^2+v^2+1 < y, z
< -(y-x)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152]
, [2, 2], [5, 5], [-3, -3]]]], [[11, 7, 11, 9, 2], [2^(1/2) < v, And(-v < u,u
< -(v^2-1)^(1/2)), 1 < x, x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain,
[[3, 3], [-6111549/2097152, -6111549/2097152], [2, 2], [5, 5], [-1816187/
1048576, -3632373/2097152]]]], [[11, 7, 11, 9, 3], [2^(1/2) < v, And(-v < u,u
< -(v^2-1)^(1/2)), 1 < x, x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [2, 2], [5
, 5], [-1/4194304, -1/4194304]]]], [[11, 7, 11, 9, 4], [2^(1/2) < v, And(-v <
u,u < -(v^2-1)^(1/2)), 1 < x, x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [2, 2], [5, 5],
[908093/524288, 1816187/1048576]]]], [[11, 7, 11, 9, 5], [2^(1/2) < v, And(-v
< u,u < -(v^2-1)^(1/2)), 1 < x, x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [2, 2], [5, 5],
[3, 3]]]], [[11, 12, 3, 5, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-3 < x,x <
-1), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)
^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 < 0, z = z], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [133259/262144, 533037/1048576], [-1, -1], [0, 0]]]],
[[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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [1566621/2097152,
1566621/2097152], [4181817/2097152, 4181817/2097152], [-3, -3]]]], [[11, 19, 9
, 7, 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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[3
, 3], [3396811/1048576, 3396811/1048576], [1566621/2097152, 1566621/2097152],
[4181817/2097152, 4181817/2097152], [-1170947/1048576, -585473/524288]]]], [[
11, 19, 9, 7, 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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-
x)^(1/2))], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [
1566621/2097152, 1566621/2097152], [4181817/2097152, 4181817/2097152], [0, 0]]
]], [[11, 19, 9, 7, 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(x < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [1566621/2097152,
1566621/2097152], [4181817/2097152, 4181817/2097152], [585473/524288, 1170947/
1048576]]]], [[11, 19, 9, 7, 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(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) <
z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [1566621/
2097152, 1566621/2097152], [4181817/2097152, 4181817/2097152], [3, 3]]]], [[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(x-u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[3, 3], [5, 5], [-9, -9],
[-33/2, -33/2], [0, 0]]]], [[1, 4, 9, 2, 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, 2, 5, 1], [v < -2^(1/2), u = v, x =
-1, 0 < y, z < -(y+1)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [-1, -1], [
1, 1], [-3, -3]]]], [[1, 6, 2, 5, 2], [v < -2^(1/2), u = v, x = -1, 0 < y, z =
-(y+1)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [-1, -1], [1, 1], [-\
1482911/1048576, -741455/524288]]]], [[1, 6, 2, 5, 3], [v < -2^(1/2), u = v, x
= -1, 0 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-3, -3]
, [-3, -3], [-1, -1], [1, 1], [0, 0]]]], [[1, 6, 2, 5, 4], [v < -2^(1/2), u =
v, x = -1, 0 < y, z = (y+1)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [-1,
-1], [1, 1], [741455/524288, 1482911/1048576]]]], [[1, 6, 2, 5, 5], [v < -2^(1
/2), u = v, x = -1, 0 < y, (y+1)^(1/2) < z], [regular_chain, [[-3, -3], [-3, -\
3], [-1, -1], [1, 1], [3, 3]]]], [[1, 12, 2, 2, 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, 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 =
z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [0, 0], [-\
133259/524288, -133259/524288], [0, 0]]]], [[1, 18, 2, 3, 1], [v < -2^(1/2), u
= (v^2+1)^(1/2), x = -2, And(-2 < y,y < 0), z < -(y+2)^(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(-2 < y,y < 0),
z = -(y+2)^(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(-2 < y,y < 0), And(-(y+2)^(1/2) < z,z < (y+2)^(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(-2
< y,y < 0), z = (y+2)^(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(-2 < y,y < 0), (y+2)^(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 = 0, z = z], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [129511/262144, 518045/1048576], [0, 0], [0, 0]]]],
[[2, 3, 11, 5, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, And(x-u^2+3
< y,y < x), 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+1), z < -(y-x)^(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+1), z = -(y-x)^(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, 5, 3], [v = -2^(
1/2), u = v, And(-1 < x,x < 0), And(0 < y,y < x+1), And(-(y-x)^(1/2) < z,z < (
y-x)^(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, 5, 4], [v = -2^(1/2), u = v, And(-1 < x,x < 0), And(0 < y,y < x+
1), z = (y-x)^(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, 5, 5], [v = -2^(1/2), u = v, And(-1 < x,x < 0),
And(0 < y,y < x+1), (y-x)^(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(u^2
< y,y < -u^2+4), z < -(y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [1, 1], [2, 2], [-2, -2]
]]], [[2, 7, 10, 7, 2], [v = -2^(1/2), And(v < u,u < -1), x = 1, And(u^2 < y,y
< -u^2+4), z = -(y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [1, 1], [2, 2], [-1, -1]]]], [[
2, 7, 10, 7, 3], [v = -2^(1/2), And(v < u,u < -1), 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], [-1265743/1048576, -1265743/1048576], [1, 1], [2, 2]
, [0, 0]]]], [[2, 7, 10, 7, 4], [v = -2^(1/2), And(v < u,u < -1), x = 1, And(u
^2 < y,y < -u^2+4), z = (y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [1, 1], [2, 2], [1, 1]]]
], [[2, 7, 10, 7, 5], [v = -2^(1/2), And(v < u,u < -1), x = 1, And(u^2 < y,y <
-u^2+4), (y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1265743/1048576, -1265743/1048576], [1, 1], [2, 2], [2, 2]]]], [[2, 13, 9,
1, 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], [-1, -1], [0, 0]]]], [[2, 15, 5, 5, 1], [v = -2^(1/2), 
And(-v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), And(x-u^2+3 < y,y < 0), z < -(
y-x)^(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(x-u^2+3 < y,y < 0), z = -(y-x)
^(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(x-u^2+3 < y,
y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x-u^2+3 < y,y < 0), z = (y-x)^(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(x-u^2+3 < y,y < 0), (y-x)^(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(1 < y
,y < u^2), z < -(y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [1, 1], [5, 5], [-3, -3]]]], [[2, 19, 8, 7, 2], [v = -2^(1/2)
, 2 < u, x = 1, And(1 < y,y < u^2), z = -(y-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [1, 1], [5, 5], [-2, -2]]]], [[2, 19
, 8, 7, 3], [v = -2^(1/2), 2 < u, x = 1, And(1 < y,y < u^2), 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, 7, 4], [v = -2^(1/2), 2 < u, x =
1, And(1 < y,y < u^2), z = (y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [1, 1], [5, 5], [2, 2]]]], [[2, 19, 8, 7, 5], [v = -2^
(1/2), 2 < u, x = 1, And(1 < y,y < u^2), (y-1)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [1, 1], [5, 5], [3, 3]]]], [[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 = 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], [7909297/524288
, 15818595/1048576], [-4, -4]]]], [[3, 1, 10, 6, 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], [7909297/524288, 15818595/1048576], [-1532401/524288
, -24518415/8388608]]]], [[3, 1, 10, 6, 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], [7909297/524288, 15818595/1048576], [-\
7/16777216, -7/16777216]]]], [[3, 1, 10, 6, 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], [7909297/524288, 15818595/1048576], [3064801/1048576
, 1532401/524288]]]], [[3, 1, 10, 6, 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], [7909297/524288, 15818595/1048576], [4, 4]]]], [[3,
7, 10, 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+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, 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+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, 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+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, 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+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, 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+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,
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 = 0, z < -(-x)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [0, 0], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[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 = 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, 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 = 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, 6, 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, 6, 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, 1, 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], [-7, -7], [0, 0]]]], [[4, 1, 9, 9,
1], [v = -1, u < -3^(1/2), And(1 < x,x < u^2-2), u^2+x < y, z < -(y-x)^(1/2)],
[regular_chain, [[-1, -1], [-3, -3], [4, 4], [14, 14], [-5, -5]]]], [[4, 1, 9,
9, 2], [v = -1, u < -3^(1/2), And(1 < x,x < u^2-2), u^2+x < y, z = -(y-x)^(1/2
)], [regular_chain, [[-1, -1], [-3, -3], [4, 4], [14, 14], [-3315889/1048576,
-207243/65536]]]], [[4, 1, 9, 9, 3], [v = -1, u < -3^(1/2), And(1 < x,x < u^2-\
2), u^2+x < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -\
1], [-3, -3], [4, 4], [14, 14], [0, 0]]]], [[4, 1, 9, 9, 4], [v = -1, u < -3^(
1/2), And(1 < x,x < u^2-2), u^2+x < y, z = (y-x)^(1/2)], [regular_chain, [[-1,
-1], [-3, -3], [4, 4], [14, 14], [207243/65536, 3315889/1048576]]]], [[4, 1, 9
, 9, 5], [v = -1, u < -3^(1/2), And(1 < x,x < u^2-2), u^2+x < y, (y-x)^(1/2) <
z], [regular_chain, [[-1, -1], [-3, -3], [4, 4], [14, 14], [5, 5]]]], [[4, 7,
10, 3, 1], [v = -1, And(-1 < u,u < 0), x = 1, And(0 < y,y < 1), z = z], [
regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [1/2, 1/2], [0, 0]]]], [[4, 9,
5, 2, 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, 2, 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, 2, 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, 7, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, And(x
< y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152
, 3299097/2097152], [2, 2], [6789261/2097152, 6789261/2097152], [-3, -3]]]], [
[4, 13, 11, 7, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, And(x < y,y <
u^2+x), z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 
3299097/2097152], [2, 2], [6789261/2097152, 6789261/2097152], [-1166407/
1048576, -583203/524288]]]], [[4, 13, 11, 7, 3], [v = -1, And(2^(1/2) < u,u <
3^(1/2)), 1 < x, And(x < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [2, 2], [
6789261/2097152, 6789261/2097152], [0, 0]]]], [[4, 13, 11, 7, 4], [v = -1, And
(2^(1/2) < u,u < 3^(1/2)), 1 < x, And(x < y,y < u^2+x), z = (y-x)^(1/2)], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [2, 2], [6789261
/2097152, 6789261/2097152], [583203/524288, 1166407/1048576]]]], [[4, 13, 11,
7, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, And(x < y,y < u^2+x), (y-
x)^(1/2) < z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152],
[2, 2], [6789261/2097152, 6789261/2097152], [3, 3]]]], [[4, 15, 4, 8, 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, 8, 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, 8, 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, 8, 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, 8,
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, 10, 4, 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, 4, 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, 4, 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, 1, 1
], [And(-1 < v,v < 0), And(v < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y < x, z
= z], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [-2, -2], [0, 0]]]]
, [[5, 8, 3, 7, 1], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 0), x+1 < y, z
< -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2], [2,
2], [-3, -3]]]], [[5, 8, 3, 7, 2], [And(-1 < v,v < 0), u = -v, And(-1 < x,x <
0), x+1 < y, z = -(y-x)^(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, 7, 3], [
And(-1 < v,v < 0), u = -v, And(-1 < x,x < 0), x+1 < y, And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2], [2,
2], [0, 0]]]], [[5, 8, 3, 7, 4], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 0)
, x+1 < y, z = (y-x)^(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, 7, 5], [And(-1
< v,v < 0), u = -v, And(-1 < x,x < 0), x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2], [2, 2], [3, 3]]]], [[5
, 9, 10, 9, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 1, u^2-
v^2+2 < y, z < -(y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152,
1696631/2097152], [1, 1], [4, 4], [-3, -3]]]], [[5, 9, 10, 9, 2], [And(-1 < v,
v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y, 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, 9, 3], [And(-1 < v
,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y, 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, 9,
4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y, 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, 9,
5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y, (
y-1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [1, 1], [4, 4], [3, 3]]]], [[6, 2, 5, 3, 1], [v = 0, u = -2^(1/2), 
And(-1 < x,x < 0), And(x-1 < y,y < x), z = z], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [-1, -1], [0, 0]]]], [[6, 3, 9
, 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], [1527887/
2097152, 1527887/2097152], [763943/1048576, 95493/131072], [-1, -1]]]], [[6, 3
, 9, 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], [1527887/
2097152, 1527887/2097152], [763943/1048576, 95493/131072], [0, 0]]]], [[6, 3,
9, 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], [1527887/
2097152, 1527887/2097152], [763943/1048576, 95493/131072], [1, 1]]]], [[6, 8,
6, 1, 1], [v = 0, u = 1, x = 0, y < 0, z = z], [regular_chain, [[0, 0], [1, 1]
, [0, 0], [-1, -1], [0, 0]]]], [[6, 9, 11, 1, 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], [-1, -1], [0, 0]]]], [[7, 4, 4, 3, 1], [And(0 < v,v < 1), u
= -(v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), z < -(y+1)^(1/2)], [regular_chain
, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-1, -1], [-1/2, -1/2], [-2
, -2]]]], [[7, 4, 4, 3, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -1, And
(-1 < y,y < 0), z = -(y+1)^(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, 3, 3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -1,
And(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(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, 3, 5], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -1, And(-1 < y,y <
0), (y+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/
1048576], [-1, -1], [-1/2, -1/2], [2, 2]]]], [[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-u^2+v^2+1 < y,y <
u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[7, 5, 9, 7,
2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(x
-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2
], [-1696631/2097152, -1696631/2097152], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]],
[[7, 5, 9, 7, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x
,x < 1), And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^
(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1
/2, 1/2], [3/2, 3/2], [0, 0]]]], [[7, 5, 9, 7, 4], [And(0 < v,v < 1), And(-(v^
2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1)
, z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[7, 5, 9, 7, 5], [And(0 < v,v <
1), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(x-u^2+v^2+1 < y,y <
u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152
, -1696631/2097152], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[8, 1, 2, 3, 1], [v =
1, u < -3^(1/2), x = -u^2, And(-2*u^2+2 < y,y < -u^2), z = z], [regular_chain,
[[1, 1], [-3, -3], [-9, -9], [-25/2, -25/2], [0, 0]]]], [[8, 2, 4, 8, 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,
8, 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, 8, 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, 8, 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, 8, 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, 5, 2, 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, 2, 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, 2, 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, 10, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 14,
5, 9, 1], [v = 1, u = 3^(1/2), And(-1 < x,x < 0), x+3 < y, z < -(y-x)^(1/2)],
[regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1/2, -1/2], [4, 4
], [-4, -4]]]], [[8, 14, 5, 9, 2], [v = 1, u = 3^(1/2), And(-1 < x,x < 0), x+3
< y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [4, 4], [-1112183/524288, -2224365/1048576]]]], [[8, 
14, 5, 9, 3], [v = 1, u = 3^(1/2), And(-1 < x,x < 0), x+3 < y, And(-(y-x)^(1/2
) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [4, 4], [0, 0]]]], [[8, 14, 5, 9, 4], [v = 1, u = 3^(1
/2), And(-1 < x,x < 0), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [
908093/524288, 1816187/1048576], [-1/2, -1/2], [4, 4], [2224365/1048576, 
1112183/524288]]]], [[8, 14, 5, 9, 5], [v = 1, u = 3^(1/2), And(-1 < x,x < 0),
x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [4, 4], [4, 4]]]], [[8, 15, 10, 5, 1], [v = 1, 3^(1/2)
< u, x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), z < -(y-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [7, 7], [23/2, 23/2], [-4, -4]]]], [[8, 15, 10
, 5, 2], [v = 1, 3^(1/2) < u, x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), z = -(y-u
^2+2)^(1/2)], [regular_chain, [[1, 1], [3, 3], [7, 7], [23/2, 23/2], [-1112183
/524288, -2224365/1048576]]]], [[8, 15, 10, 5, 3], [v = 1, 3^(1/2) < u, x = u^
2-2, And(u^2-2 < y,y < 2*u^2-2), And(-(y-u^2+2)^(1/2) < z,z < (y-u^2+2)^(1/2))
], [regular_chain, [[1, 1], [3, 3], [7, 7], [23/2, 23/2], [0, 0]]]], [[8, 15,
10, 5, 4], [v = 1, 3^(1/2) < u, x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), z = (y-
u^2+2)^(1/2)], [regular_chain, [[1, 1], [3, 3], [7, 7], [23/2, 23/2], [2224365
/1048576, 1112183/524288]]]], [[8, 15, 10, 5, 5], [v = 1, 3^(1/2) < u, x = u^2
-2, And(u^2-2 < y,y < 2*u^2-2), (y-u^2+2)^(1/2) < z], [regular_chain, [[1, 1],
[3, 3], [7, 7], [23/2, 23/2], [4, 4]]]], [[9, 6, 5, 5, 1], [And(1 < v,v < 2^(1
/2)), u = -v, And(0 < x,x < 1), And(x < y,y < x+1), z < -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [1/2, 1/2], [1, 1], [-2, -2]]]], [[9, 6, 5, 5, 2], [And(1 <
v,v < 2^(1/2)), u = -v, And(0 < x,x < 1), And(x < y,y < x+1), z = -(y-x)^(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, 5, 3], [And(1 < v,v < 2^(1/2)), u = -v, And(0 < x,x < 1), And(x < y
,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [
1, 1], [0, 0]]]], [[9, 6, 5, 5, 4], [And(1 < v,v < 2^(1/2)), u = -v, And(0 < x
,x < 1), And(x < y,y < x+1), z = (y-x)^(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, 5, 5], [And(1 < v,v < 2^(1
/2)), u = -v, And(0 < x,x < 1), And(x < y,y < x+1), (y-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [1/2, 1/2], [1, 1], [2, 2]]]], [[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 < 0), z < -(y-x)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [-3, -3], [-1/2, -1/2], [-3, -3]]]], [[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 < 0), z = -(y-x)^(
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, 5, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x < -2, And(x
+2 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-3, -3
], [-1/2, -1/2], [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 < 0), z = (y-x)^(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, 5, 5], [And(1
< v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x < -2, And(x+2 < y,y < 0), (y-x)^(1/2)
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152,
-354469/524288], [-3, -3], [-1/2, -1/2], [3, 3]]]], [[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(
x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [0, 0], [-4, -4], [-11624291/4194304, -11624291/4194304], [-\
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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-4, -4], [-\
11624291/4194304, -11624291/4194304], [-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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-
x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-4,
-4], [-11624291/4194304, -11624291/4194304], [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(x < y,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-4, -4], [-11624291/4194304, -11624291/
4194304], [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(x <
y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [-4, -4], [-11624291/4194304, -11624291/4194304], [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 < -(y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [354469/524288, 708939/1048576], [-1, -1], [2, 2], [-3, -3]]]], [[9, 10, 4,
7, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -1, 1 < y, z = -(y+1)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 
708939/1048576], [-1, -1], [2, 2], [-1816187/1048576, -3632373/2097152]]]], [[
9, 10, 4, 7, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -1, 1 < y, 
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], [-1/
4194304, -1/4194304]]]], [[9, 10, 4, 7, 4], [And(1 < v,v < 2^(1/2)), u = (v^2-\
1)^(1/2), x = -1, 1 < y, z = (y+1)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [354469/524288, 708939/1048576], [-1, -1], [2, 2], [908093/
524288, 1816187/1048576]]]], [[9, 10, 4, 7, 5], [And(1 < v,v < 2^(1/2)), u = (
v^2-1)^(1/2), x = -1, 1 < y, (y+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-1, -1], [2, 2],
[3, 3]]]], [[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-1 < y,y < x), z = z], [regular_chain, [[1265743/1048576,
1265743/1048576], [121853/65536, 1949649/1048576], [-1/2, -1/2], [-1, -1], [0,
0]]]], [[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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [7909297/2097152, 7909297/2097152],
[12912521/1048576, 6456261/524288], [-4, -4]]]], [[9, 17, 9, 8, 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], [12912521/1048576, 6456261/524288],
[-1532401/524288, -24518415/8388608]]]], [[9, 17, 9, 8, 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], [12912521/
1048576, 6456261/524288], [-7/16777216, -7/16777216]]]], [[9, 17, 9, 8, 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], [12912521/1048576, 
6456261/524288], [3064801/1048576, 1532401/524288]]]], [[9, 17, 9, 8, 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], [12912521/1048576, 
6456261/524288], [4, 4]]]], [[10, 5, 1, 6, 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
], [-799673/524288, -3198691/2097152], [-3, -3]]]], [[10, 5, 1, 6, 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], [-799673/524288, -3198691/2097152], [-636691/524288, -\
1273381/1048576]]]], [[10, 5, 1, 6, 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], [-799673/524288, -3198691/2097152], [0, 0]]]], [[10, 5, 1,
6, 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], [-799673/524288, -3198691/2097152], [
1273381/1048576, 636691/524288]]]], [[10, 5, 1, 6, 5], [v = 2^(1/2), And(-3^(1
/2) < u,u < -v), x < -u^2+1, y = u^2+x-1, (u^2-1)^(1/2) < z], [regular_chain,
[[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-3,
-3], [-799673/524288, -3198691/2097152], [3, 3]]]], [[10, 6, 5, 3, 1], [v = 2^
(1/2), u = -v, And(0 < x,x < 1), And(0 < y,y < x), z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [1/2, 1/2
], [1/4, 1/4], [0, 0]]]], [[10, 12, 4, 3, 1], [v = 2^(1/2), u = 1, x = -1, And
(-1 < y,y < 0), z < -(y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1, 1], [-1, -1], [-1/2, -1/2], [-2, -2]]]], [[10, 12, 4, 3, 2], [v
= 2^(1/2), u = 1, x = -1, And(-1 < y,y < 0), z = -(y+1)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [1, 1], [-1, -1], [-1/2, -1/2], [-1482911
/2097152, -741455/1048576]]]], [[10, 12, 4, 3, 3], [v = 2^(1/2), u = 1, x = -1
, And(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1, -1], [-\
1/2, -1/2], [741455/1048576, 46341/65536]]]], [[10, 12, 4, 3, 5], [v = 2^(1/2)
, u = 1, x = -1, And(-1 < y,y < 0), (y+1)^(1/2) < z], [regular_chain, [[741455
/524288, 1482911/1048576], [1, 1], [-1, -1], [-1/2, -1/2], [2, 2]]]], [[10, 13
, 10, 2, 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, 9, 1], [2^(1/2) < v, u = -(v^
2+2)^(1/2), And(0 < x,x < 1), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[3,
3], [-1738867/524288, -3477733/1048576], [1/2, 1/2], [5, 5], [-4, -4]]]], [[11
, 2, 7, 9, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y, z
= -(y-x)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576],
[1/2, 1/2], [5, 5], [-1112183/524288, -2224365/1048576]]]], [[11, 2, 7, 9, 3],
[2^(1/2) < v, u = -(v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y, And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [1/2, 1/2], [5, 5], [0, 0]]]], [[11, 2, 7, 9, 4], [2^(1/2) < v, u =
-(v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [
[3, 3], [-1738867/524288, -3477733/1048576], [1/2, 1/2], [5, 5], [2224365/
1048576, 1112183/524288]]]], [[11, 2, 7, 9, 5], [2^(1/2) < v, u = -(v^2+2)^(1/
2), And(0 < x,x < 1), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [1/2, 1/2], [5, 5], [4, 4]]]], [[11, 4, 1,
5, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x < -2, And(x+2 < y,y < 0), z < -(y-x
)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3, -3]
, [-1/2, -1/2], [-3, -3]]]], [[11, 4, 1, 5, 2], [2^(1/2) < v, u = -(v^2+1)^(1/
2), x < -2, And(x+2 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-\
3315889/1048576, -207243/65536], [-3, -3], [-1/2, -1/2], [-3315889/2097152, -\
207243/131072]]]], [[11, 4, 1, 5, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), x < -2
, And(x+2 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[3, 3], [-3315889/1048576, -207243/65536], [-3, -3], [-1/2, -1/2], [0, 0]]]],
[[11, 4, 1, 5, 4], [2^(1/2) < v, u = -(v^2+1)^(1/2), x < -2, And(x+2 < y,y < 0
), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536
], [-3, -3], [-1/2, -1/2], [207243/131072, 1657945/1048576]]]], [[11, 4, 1, 5,
5], [2^(1/2) < v, u = -(v^2+1)^(1/2), x < -2, And(x+2 < y,y < 0), (y-x)^(1/2)
< z], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3, -3], [-\
1/2, -1/2], [3, 3]]]], [[11, 10, 3, 2, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), 
And(-3 < x,x < -1), y = x-1, z = z], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [-2, -2], [-3, -3], [0, 0]]]], [[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
(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [0, 0], [
1/2, 1/2], [11/2, 11/2], [-4, -4]]]], [[11, 11, 7, 7, 2], [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 < x-u^2+v^2
+1), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [0, 0], [1/2, 1/2], [11/2, 11
/2], [-146543/65536, -2344687/1048576]]]], [[11, 11, 7, 7, 3], [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 < x-u
^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [0
, 0], [1/2, 1/2], [11/2, 11/2], [0, 0]]]], [[11, 11, 7, 7, 4], [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 < x-u
^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [0, 0], [1/2, 1/2], [11/
2, 11/2], [2344687/1048576, 146543/65536]]]], [[11, 11, 7, 7, 5], [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 < x
-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [0, 0], [1/2, 1/2], [
11/2, 11/2], [4, 4]]]], [[11, 15, 10, 3, 1], [2^(1/2) < v, And((v^2-1)^(1/2) <
u,u < v), x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [1, 1], [1/2, 1/2], [0, 0]]]], [[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 = 0, z
< -(-x)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-\
1062385/4194304, -1062385/4194304], [0, 0], [-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 = 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, 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 = 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, 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 = 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, 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 = 0,
(-x)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-\
1062385/4194304, -1062385/4194304], [0, 0], [2, 2]]]], [[1, 1, 4, 5, 1], [v <
-2^(1/2), u < -(v^2+2)^(1/2), x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z =
-(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z =
(y+1)^(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(-1 < y,y < 0), (y+1)^(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(0 <
y,y < 1), z = z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [1, 1], [1/2, 1/2], [0, 0]]]], [[1, 10, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 3, 1], [v < -2^(1/2), u =
(v^2-1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [-3/
4, -3/4], [-2, -2]]]], [[1, 14, 3, 3, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), 
And(-2 < x,x < -1), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v < -2^(1/2), u = (v^2-1)^(
1/2), And(-2 < x,x < -1), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [v < -2^(1/2)
, u = (v^2-1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v < -2^(1/2)
, u = (v^2-1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [-3/
4, -3/4], [2, 2]]]], [[1, 15, 8, 7, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), x = 0, -u^2+v^2+1 < y, z < -y^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [0, 0], [3, 3], [-3, -3]]]], [[1, 15, 8, 7,
2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 0, -u^2+v^2+1 < y, z = -
y^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [0, 0
], [3, 3], [-1816187/1048576, -3632373/2097152]]]], [[1, 15, 8, 7, 3], [v < -2
^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 0, -u^2+v^2+1 < y, 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, 7, 4], [v < -2^(1/2),
And((v^2-1)^(1/2) < u,u < -v), x = 0, -u^2+v^2+1 < y, z = y^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [0, 0], [3, 3],
[908093/524288, 1816187/1048576]]]], [[1, 15, 8, 7, 5], [v < -2^(1/2), And((v^
2-1)^(1/2) < u,u < -v), x = 0, -u^2+v^2+1 < y, y^(1/2) < z], [regular_chain, [
[-3, -3], [6111549/2097152, 6111549/2097152], [0, 0], [3, 3], [3, 3]]]], [[1,
21, 8, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 7, 1], [v = -2^(1/2),
u < -2, x = u^2-3, 2*u^2-4 < y, z < -(y-u^2+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [6, 6], [15, 15], [-4, -4]]]], [[2
, 1, 10, 7, 2], [v = -2^(1/2), u < -2, x = u^2-3, 2*u^2-4 < y, z = -(y-u^2+3)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [6, 6],
[15, 15], [-3, -3]]]], [[2, 1, 10, 7, 3], [v = -2^(1/2), u < -2, x = u^2-3, 2*
u^2-4 < y, And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+3)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [6, 6], [15, 15], [0, 0]]]], [[2,
1, 10, 7, 4], [v = -2^(1/2), u < -2, x = u^2-3, 2*u^2-4 < y, z = (y-u^2+3)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [6, 6], [
15, 15], [3, 3]]]], [[2, 1, 10, 7, 5], [v = -2^(1/2), u < -2, x = u^2-3, 2*u^2
-4 < y, (y-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [6, 6], [15, 15], [4, 4]]]], [[2, 10, 2, 1, 1], [v = -2^(1/
2), u = 0, x = -3, y < -4, z = z], [regular_chain, [[-1482911/1048576, -741455
/524288], [0, 0], [-3, -3], [-5, -5], [0, 0]]]], [[2, 11, 6, 2, 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, 3, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, And(0 < y,y < u^
2-3), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [505467/1048576, 126367/262144], [505467/2097152, 
505467/2097152], [0, 0]]]], [[2, 19, 1, 4, 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, 4, 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, 4, 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, 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-u^2+v^2+1, z
= z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [2, 2], [797593/524288, 1595187/1048576], [0, 0]]
]], [[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(u^2-v^2-1 < y,y < 0), z < -(y-u^2+v^2+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, 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(u^2-v^2-1 < y,y < 0), z = -(y-u
^2+v^2+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, 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(u^2-v^2-1 < y,y < 0), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+
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, 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(u^2-v^2-1 < y,y < 0), z
= (y-u^2+v^2+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, 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(u^2-v^2-1 < y,y < 0), (y-u^2+v^2+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, 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], [450371/
1048576, 112593/262144], [-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], [450371/1048576, 112593/262144], [-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], [450371/1048576, 112593/262144], [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], [450371/1048576
, 112593/262144], [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], [450371/1048576, 112593/262144], [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 < x, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/
4194304, -3213833/4194304], [-2, -2], [0, 0]]]], [[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(0 < y,y < x), 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 = u^2+1, z < u], [regular_chain, [[-1, -1],
[-6598195/4194304, -6598195/4194304], [1, 1], [1821767/524288, 3643535/1048576
], [-3, -3]]]], [[4, 3, 10, 8, 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], [1821767/524288, 3643535/1048576], [-1649549/1048576, -\
3299097/2097152]]]], [[4, 3, 10, 8, 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], [1821767/524288, 3643535/1048576], [-1/
4194304, -1/4194304]]]], [[4, 3, 10, 8, 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], [1821767/524288, 3643535/1048576], [412387/262144
, 1649549/1048576]]]], [[4, 3, 10, 8, 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], [1821767/524288, 3643535/1048576], [3, 3]]]], [[4,
5, 5, 7, 1], [v = -1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), And(0 <
y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576,
-1265743/1048576], [-3235683/4194304, -3235683/4194304], [718965/2097152, 
718965/2097152], [-3, -3]]]], [[4, 5, 5, 7, 2], [v = -1, And(-2^(1/2) < u,u <
-1), And(-1 < x,x < u^2-2), And(0 < y,y < u^2+x), z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3235683/
4194304, -3235683/4194304], [718965/2097152, 718965/2097152], [-553435/524288,
-1106869/1048576]]]], [[4, 5, 5, 7, 3], [v = -1, And(-2^(1/2) < u,u < -1), And
(-1 < x,x < u^2-2), And(0 < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2)
)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3235683
/4194304, -3235683/4194304], [718965/2097152, 718965/2097152], [0, 0]]]], [[4,
5, 5, 7, 4], [v = -1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), And(0 <
y,y < u^2+x), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576,
-1265743/1048576], [-3235683/4194304, -3235683/4194304], [718965/2097152, 
718965/2097152], [1106869/1048576, 553435/524288]]]], [[4, 5, 5, 7, 5], [v = -\
1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), And(0 < y,y < u^2+x), (y-x
)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576],
[-3235683/4194304, -3235683/4194304], [718965/2097152, 718965/2097152], [3, 3]
]]], [[4, 10, 1, 5, 1], [v = -1, u = 1, x < -1, And(x+1 < y,y < 0), z < -(y-x)
^(1/2)], [regular_chain, [[-1, -1], [1, 1], [-2, -2], [-1/2, -1/2], [-3, -3]]]
], [[4, 10, 1, 5, 2], [v = -1, u = 1, x < -1, And(x+1 < y,y < 0), z = -(y-x)^(
1/2)], [regular_chain, [[-1, -1], [1, 1], [-2, -2], [-1/2, -1/2], [-1284239/
1048576, -642119/524288]]]], [[4, 10, 1, 5, 3], [v = -1, u = 1, x < -1, And(x+
1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1
], [1, 1], [-2, -2], [-1/2, -1/2], [0, 0]]]], [[4, 10, 1, 5, 4], [v = -1, u =
1, x < -1, And(x+1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [1
, 1], [-2, -2], [-1/2, -1/2], [642119/524288, 1284239/1048576]]]], [[4, 10, 1,
5, 5], [v = -1, u = 1, x < -1, And(x+1 < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [1, 1], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[4, 11,
9, 4, 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, 4, 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, 4, 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, 5, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-3 < x,x < -1)
, And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z =
(y-x)^(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(x < y,y < 0), (y-x)^(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 =
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, 6, 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, 6, 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, 5, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -3, And(-3 < y,y < 0),
z < -(y+3)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-3, -3], [-3/2,
-3/2], [-3, -3]]]], [[5, 12, 2, 5, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2),
x = -3, And(-3 < y,y < 0), z = -(y+3)^(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, 5, 3], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -3, And(-3 < y,y < 0)
, And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))], [regular_chain, [[-1/2, -1/2], [3/2,
3/2], [-3, -3], [-3/2, -3/2], [0, 0]]]], [[5, 12, 2, 5, 4], [And(-1 < v,v < 0)
, u = (v^2+2)^(1/2), x = -3, And(-3 < y,y < 0), z = (y+3)^(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, 5, 5], [And(-1 < v,v < 0), u = (v^2+2
)^(1/2), x = -3, And(-3 < y,y < 0), (y+3)^(1/2) < z], [regular_chain, [[-1/2,
-1/2], [3/2, 3/2], [-3, -3], [-3/2, -3/2], [3, 3]]]], [[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 < -(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, 6, 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, 6, 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, 6, 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, 6,
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, 5, 11, 9, 1], [v = 0, And(-1 < u,u < 0), 1 < x, u^2+x+1 < y, z < -(y
-x)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [2, 2], [5, 5], [-3, -3]]]]
, [[6, 5, 11, 9, 2], [v = 0, And(-1 < u,u < 0), 1 < x, u^2+x+1 < y, z = -(y-x)
^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [2, 2], [5, 5], [-1816187/
1048576, -3632373/2097152]]]], [[6, 5, 11, 9, 3], [v = 0, And(-1 < u,u < 0), 1
< x, u^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0,
0], [-1/2, -1/2], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[6, 5, 11, 9,
4], [v = 0, And(-1 < u,u < 0), 1 < x, u^2+x+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [2, 2], [5, 5], [908093/524288, 1816187/
1048576]]]], [[6, 5, 11, 9, 5], [v = 0, And(-1 < u,u < 0), 1 < x, u^2+x+1 < y,
(y-x)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2], [2, 2], [5, 5], [3, 3
]]]], [[6, 7, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6
, 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, 11
, 8, 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, 8,
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, 8, 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, 8, 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, 8, 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, 7, 1], [And(0 < v,v < 1), u = -
(v^2+2)^(1/2), x = -3, 0 < y, z < -(y+3)^(1/2)], [regular_chain, [[1/2, 1/2],
[-3/2, -3/2], [-3, -3], [1, 1], [-3, -3]]]], [[7, 2, 2, 7, 2], [And(0 < v,v <
1), u = -(v^2+2)^(1/2), x = -3, 0 < y, z = -(y+3)^(1/2)], [regular_chain, [[1/
2, 1/2], [-3/2, -3/2], [-3, -3], [1, 1], [-2, -2]]]], [[7, 2, 2, 7, 3], [And(0
< v,v < 1), u = -(v^2+2)^(1/2), x = -3, 0 < y, And(-(y+3)^(1/2) < z,z < (y+3)^
(1/2))], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-3, -3], [1, 1], [0, 0]]]
], [[7, 2, 2, 7, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -3, 0 < y, z =
(y+3)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-3, -3], [1, 1], [2,
2]]]], [[7, 2, 2, 7, 5], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -3, 0 < y,
(y+3)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-3, -3], [1, 1],
[3, 3]]]], [[7, 8, 3, 3, 1], [And(0 < v,v < 1), u = v, And(-1 < x,x < 0), And(
x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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,
3, 3], [And(0 < v,v < 1), u = v, And(-1 < x,x < 0), And(x < y,y < 0), And(-(y-
x)^(1/2) < z,z < (y-x)^(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, 3, 4], [And(0 < v,v < 1), u = v,
And(-1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(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, 3, 5],
[And(0 < v,v < 1), u = v, And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(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(1 < y,y < -u^2+v^2+2), z < -(y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [1, 1], [1360785/1048576, 1360785/1048576],
[-2, -2]]]], [[7, 9, 10, 5, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)
), x = 1, And(1 < y,y < -u^2+v^2+2), z = -(y-1)^(1/2)], [regular_chain, [[1/2,
1/2], [1696631/2097152, 1696631/2097152], [1, 1], [1360785/1048576, 1360785/
1048576], [-572167/1048576, -1144333/2097152]]]], [[7, 9, 10, 5, 3], [And(0 <
v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 1, And(1 < 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], [1360785/1048576, 1360785/1048576], [-1/
4194304, -1/4194304]]]], [[7, 9, 10, 5, 4], [And(0 < v,v < 1), And(v < u,u < (
v^2+1)^(1/2)), x = 1, And(1 < y,y < -u^2+v^2+2), z = (y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1, 1], [
1360785/1048576, 1360785/1048576], [286083/524288, 572167/1048576]]]], [[7, 9,
10, 5, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 1, And(1 < y,y
< -u^2+v^2+2), (y-1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/2097152
, 1696631/2097152], [1, 1], [1360785/1048576, 1360785/1048576], [2, 2]]]], [[7
, 10, 8, 2, 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, 1, 9, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x < -3, 0
< y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-4, -4], [1,
1], [-4, -4]]]], [[7, 12, 1, 9, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x <
-3, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-4, -4
], [1, 1], [-146543/65536, -2344687/1048576]]]], [[7, 12, 1, 9, 3], [And(0 < v
,v < 1), u = (v^2+2)^(1/2), x < -3, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-4, -4], [1, 1], [0, 0]]]], [[7
, 12, 1, 9, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x < -3, 0 < y, z = (y-x)
^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-4, -4], [1, 1], [2344687/
1048576, 146543/65536]]]], [[7, 12, 1, 9, 5], [And(0 < v,v < 1), u = (v^2+2)^(
1/2), x < -3, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3/2, 3/2]
, [-4, -4], [1, 1], [4, 4]]]], [[8, 4, 6, 2, 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, 2, 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, 2, 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, 6, 1], [v = 1, And(-2^(1/2) < u,u < -1), 1 < x, y =
x-u^2+2, z < -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [2, 2], [2666417/1048576, 1333209/524288], [-2, -2]]]], [[8,
5, 11, 6, 2], [v = 1, And(-2^(1/2) < u,u < -1), 1 < x, y = x-u^2+2, z = -(-u^2
+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [2,
2], [2666417/1048576, 1333209/524288], [-772605/1048576, -1545209/2097152]]]],
[[8, 5, 11, 6, 3], [v = 1, And(-2^(1/2) < u,u < -1), 1 < x, y = x-u^2+2, And(-
(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [2, 2], [2666417/1048576, 1333209/524288], [-1/
4194304, -1/4194304]]]], [[8, 5, 11, 6, 4], [v = 1, And(-2^(1/2) < u,u < -1),
1 < x, y = x-u^2+2, z = (-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [2, 2], [2666417/1048576, 1333209/524288], [193151
/262144, 772605/1048576]]]], [[8, 5, 11, 6, 5], [v = 1, And(-2^(1/2) < u,u < -\
1), 1 < x, y = x-u^2+2, (-u^2+2)^(1/2) < z], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [2, 2], [2666417/1048576, 1333209/524288],
[2, 2]]]], [[8, 11, 1, 3, 1], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, And(x
< y,y < x-u^2+2), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576
, 1265743/1048576], [-3, -3], [-5722191/2097152, -5722191/2097152], [-2, -2]]]
], [[8, 11, 1, 3, 2], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, And(x < y,y <
x-u^2+2), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-3, -3], [-5722191/2097152, -5722191/2097152], [-273157/
524288, -1092627/2097152]]]], [[8, 11, 1, 3, 3], [v = 1, And(1 < u,u < 2^(1/2)
), x < -u^2, And(x < y,y < x-u^2+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3, -3], [-\
5722191/2097152, -5722191/2097152], [-1/4194304, -1/4194304]]]], [[8, 11, 1, 3
, 4], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, And(x < y,y < x-u^2+2), z = (y
-x)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3,
-3], [-5722191/2097152, -5722191/2097152], [546313/1048576, 273157/524288]]]],
[[8, 11, 1, 3, 5], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, And(x < y,y < x-u
^2+2), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-3, -3], [-5722191/2097152, -5722191/2097152], [2, 2]]]], [[8, 12,
4, 5, 1], [v = 1, u = 2^(1/2), x = -1, And(0 < y,y < 1), z < -(y+1)^(1/2)], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2]
, [-3, -3]]]], [[8, 12, 4, 5, 2], [v = 1, u = 2^(1/2), x = -1, And(0 < y,y < 1
), z = -(y+1)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576
], [-1, -1], [1/2, 1/2], [-1284239/1048576, -642119/524288]]]], [[8, 12, 4, 5,
3], [v = 1, u = 2^(1/2), x = -1, And(0 < y,y < 1), And(-(y+1)^(1/2) < z,z < (y
+1)^(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 = (y+1)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 
1482911/1048576], [-1, -1], [1/2, 1/2], [642119/524288, 1284239/1048576]]]], [
[8, 12, 4, 5, 5], [v = 1, u = 2^(1/2), x = -1, And(0 < y,y < 1), (y+1)^(1/2) <
z], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1, -1], [1/2,
1/2], [3, 3]]]], [[9, 2, 8, 7, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2)
, x = 1, 4 < y, z < -(y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [1, 1], [5, 5], [-3, -3]]]], [
[9, 2, 8, 7, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 1, 4 < y, z
= -(y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [1, 1], [5, 5], [-2, -2]]]], [[9, 2, 8, 7,
3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 1, 4 < y, 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, 7,
4], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 1, 4 < y, z = (y-1)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [1, 1], [5, 5], [2, 2]]]], [[9, 2, 8, 7, 5], [And(1 < v,v <
2^(1/2)), u = -(v^2+2)^(1/2), x = 1, 4 < y, (y-1)^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [1,
1], [5, 5], [3, 3]]]], [[9, 4, 2, 5, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)
^(1/2), x = -2, 0 < y, z < -(y+2)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-410915/262144, -3287319/2097152], [-2, -2], [1, 1], [-3, -\
3]]]], [[9, 4, 2, 5, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -2,
0 < y, z = -(y+2)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-410915/262144, -3287319/2097152], [-2, -2], [1, 1], [-1816187/1048576, -\
3632373/2097152]]]], [[9, 4, 2, 5, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(
1/2), x = -2, 0 < y, And(-(y+2)^(1/2) < z,z < (y+2)^(1/2))], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-2, -\
2], [1, 1], [-1/4194304, -1/4194304]]]], [[9, 4, 2, 5, 4], [And(1 < v,v < 2^(1
/2)), u = -(v^2+1)^(1/2), x = -2, 0 < y, z = (y+2)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-2, -2
], [1, 1], [908093/524288, 1816187/1048576]]]], [[9, 4, 2, 5, 5], [And(1 < v,v
< 2^(1/2)), u = -(v^2+1)^(1/2), x = -2, 0 < y, (y+2)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [-2, -2], [1, 1], [3, 3]]]], [[9, 12, 7, 5, 1], [And(1 < v,v < 2^(1/
2)), u = v, 1 < x, And(x < y,y < x+1), z < -(y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2],
[5/2, 5/2], [-2, -2]]]], [[9, 12, 7, 5, 2], [And(1 < v,v < 2^(1/2)), u = v, 1
< x, And(x < y,y < x+1), z = -(y-x)^(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, 5, 3], [And(1 < v,v < 2^(1/2
)), u = v, 1 < x, And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743
/1048576], [2, 2], [5/2, 5/2], [0, 0]]]], [[9, 12, 7, 5, 4], [And(1 < v,v < 2^
(1/2)), u = v, 1 < x, And(x < y,y < x+1), z = (y-x)^(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, 5, 5], [And(1 < v,v
< 2^(1/2)), u = v, 1 < x, And(x < y,y < x+1), (y-x)^(1/2) < z], [regular_chain
, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [2,
2], [5/2, 5/2], [2, 2]]]], [[9, 14, 3, 7, 1], [And(1 < v,v < 2^(1/2)), u = (v^
2+1)^(1/2), And(-2 < x,x < -1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-3/2, -3
/2], [2, 2], [-3, -3]]]], [[9, 14, 3, 7, 2], [And(1 < v,v < 2^(1/2)), u = (v^2
+1)^(1/2), And(-2 < x,x < -1), x+2 < y, z = -(y-x)^(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, 7, 3], [And(1
< v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y, And(-(y-x)^(
1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576
], [1643659/1048576, 410915/262144], [-3/2, -3/2], [2, 2], [0, 0]]]], [[9, 14,
3, 7, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-2 < x,x < -1), x+2
< y, z = (y-x)^(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, 7, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), 
And(-2 < x,x < -1), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-3/2, -3/2], [2,
2], [3, 3]]]], [[10, 2, 8, 2, 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, 1, 7, 1], [v = 2^(1/2), u = -3^(1/2), x < -2, 0 < y, z < -(
y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/
1048576, -3632373/2097152], [-3, -3], [1, 1], [-3, -3]]]], [[10, 4, 1, 7, 2],
[v = 2^(1/2), u = -3^(1/2), x < -2, 0 < y, z = -(y-x)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-3,
-3], [1, 1], [-2, -2]]]], [[10, 4, 1, 7, 3], [v = 2^(1/2), u = -3^(1/2), x < -\
2, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-3, -3], [1,
1], [0, 0]]]], [[10, 4, 1, 7, 4], [v = 2^(1/2), u = -3^(1/2), x < -2, 0 < y, z
= (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/
1048576, -3632373/2097152], [-3, -3], [1, 1], [2, 2]]]], [[10, 4, 1, 7, 5], [v
= 2^(1/2), u = -3^(1/2), x < -2, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-3, -3
], [1, 1], [3, 3]]]], [[10, 8, 9, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 4, 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, 4, 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,
4, 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, 3, 5, 1], [v = 2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), And(0 < y,y < x
+2), z < -(y-x)^(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, 5, 2], [v = 2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2
), z = -(y-x)^(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, 5, 3], [v = 2^(1/2), u = 3^(1/2), And(-2 < x
,x < -1), And(0 < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 5, 4], [v = 2^(1/2
), u = 3^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2), z = (y-x)^(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, 5, 5], [v = 2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2),
(y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [908093/
524288, 1816187/1048576], [-3/2, -3/2], [1/4, 1/4], [3, 3]]]], [[10, 17, 9, 6,
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, 6, 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, 6, 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, 3, 1],
[v = 2^(1/2), u = 2, And(-1 < x,x < 0), And(x-1 < y,y < x), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1/2, -1/2], [-1, -\
1], [0, 0]]]], [[10, 19, 9, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 4, 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, 4,
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, 4, 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, 4, 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, 4, 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, 8, 1], [2^(1/2) < v, And(-v < u,u <
-(v^2-1)^(1/2)), 1 < x, y = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [2, 2], [919433/
262144, 3677733/1048576], [-3, -3]]]], [[11, 7, 11, 8, 2], [2^(1/2) < v, And(-
v < u,u < -(v^2-1)^(1/2)), 1 < x, y = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [2, 2], [919433/
262144, 3677733/1048576], [-1287385/1048576, -160923/131072]]]], [[11, 7, 11,
8, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = x-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], [2, 2], [919433/262144, 3677733/1048576]
, [0, 0]]]], [[11, 7, 11, 8, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
1 < x, y = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [2, 2], [919433/262144, 3677733/1048576],
[160923/131072, 1287385/1048576]]]], [[11, 7, 11, 8, 5], [2^(1/2) < v, And(-v
< u,u < -(v^2-1)^(1/2)), 1 < x, y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [2, 2], [919433/
262144, 3677733/1048576], [3, 3]]]], [[11, 12, 3, 6, 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,
6, 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, 6, 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, 6, 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, 6,
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, 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 = 0, z = z], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [133259/262144, 533037/1048576], [0, 0], [0, 0]]]], [
[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 = x, z < 0], [regular_chain, [[3, 3], [3396811/
1048576, 3396811/1048576], [1566621/2097152, 1566621/2097152], [391655/524288,
783311/1048576], [-1, -1]]]], [[11, 19, 9, 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], [1566621/2097152,
1566621/2097152], [391655/524288, 783311/1048576], [0, 0]]]], [[11, 19, 9, 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], [1566621/2097152, 1566621/2097152], [391655/524288, 783311/1048576],
[1, 1]]]], [[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 = x-u^2+v^2+1, z = z], [regular_chain, [[3, 3], [5, 5], [-9, -9
], [-24, -24], [0, 0]]]], [[1, 4, 9, 1, 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], [-1, -1], [0, 0]]]], [[1, 6, 2, 4, 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, 4, 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,
4, 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, 4, 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, 4, 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, 2, 3, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -3, And(-4 < y,y < -3), z
= z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-3, -3], [-7/
2, -7/2], [0, 0]]]], [[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 = -2, z < 0], [regular_chain, [[-3, -3], [207243/
65536, 3315889/1048576], [-2, -2], [-2, -2], [-1, -1]]]], [[1, 18, 2, 2, 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, 2, 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, 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 = z], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [129511/262144, 518045/1048576], [-1, -1], [0, 0]]]
], [[2, 3, 11, 6, 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, 6, 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, 6, 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, 5, 1
], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = u^2-3, And(0 < y,y < 2*u^2-4),
z < -(y-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-275385/524288, -1101539/2097152], [
248903/524288, 248903/524288], [-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 < 2*u^2-4), z = -(y-u^2+3)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-275385/524288, -1101539/2097152], [248903/524288, 248903/
524288], [-4398045713467/4398046511104, -2199022856733/2199023255552]]]], [[2,
5, 6, 5, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = u^2-3, And(0 < y,y <
2*u^2-4), And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+3)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
275385/524288, -1101539/2097152], [248903/524288, 248903/524288], [-1698333/
4398046511104, -1698333/4398046511104]]]], [[2, 5, 6, 5, 4], [v = -2^(1/2), 
And(-3^(1/2) < u,u < v), x = u^2-3, And(0 < y,y < 2*u^2-4), z = (y-u^2+3)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-275385/524288, -1101539/2097152], [248903/524288, 248903/
524288], [1048575/1048576, 1]]]], [[2, 5, 6, 5, 5], [v = -2^(1/2), And(-3^(1/2
) < u,u < v), x = u^2-3, And(0 < y,y < 2*u^2-4), (y-u^2+3)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-275385/524288, -1101539/2097152], [248903/524288, 248903/
524288], [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 = u^2, z < -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1, 1]
, [763943/524288, 1527887/1048576], [-2, -2]]]], [[2, 7, 10, 6, 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], [763943/524288, 1527887/1048576], [-1417877/2097152, -354469/524288]]]], [
[2, 7, 10, 6, 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], [763943/524288, 1527887
/1048576], [0, 0]]]], [[2, 7, 10, 6, 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], [763943/524288, 1527887
/1048576], [354469/524288, 708939/1048576]]]], [[2, 7, 10, 6, 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]
, [763943/524288, 1527887/1048576], [2, 2]]]], [[2, 13, 9, 2, 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, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 8, 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, 8, 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, 8, 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, 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 < 2*u^2-2*v^2), z < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [6860721/
1048576, 3430361/524288], [5669829/524288, 5669829/524288], [-4, -4]]]], [[3,
1, 10, 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^2-1 < y,y < 2*u^2-2*v^2), z = -(y-u^2+v^2+1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3, -3], [6860721/1048576, 3430361/
524288], [5669829/524288, 5669829/524288], [-2167143/1048576, -1083571/524288]
]]], [[3, 1, 10, 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^2-1 < y,y < 2*u^2-2*v^2), And(-(y-u^2+v^2+1)^(1/2) < z,z < (
y-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-3, -3], [6860721/1048576, 3430361/524288], [5669829/524288, 5669829/524288],
[0, 0]]]], [[3, 1, 10, 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^2-1 < y,y < 2*u^2-2*v^2), z = (y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [6860721/
1048576, 3430361/524288], [5669829/524288, 5669829/524288], [1083571/524288, 
2167143/1048576]]]], [[3, 1, 10, 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^2-1 < y,y < 2*u^2-2*v^2), (y-u^2+v^2+1)^(1/2
) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [
6860721/1048576, 3430361/524288], [5669829/524288, 5669829/524288], [4, 4]]]],
[[3, 7, 10, 8, 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], [
2695357/1048576, 1347679/524288], [-3, -3]]]], [[3, 7, 10, 8, 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], [2695357/1048576, 1347679/524288],
[-1314069/1048576, -328517/262144]]]], [[3, 7, 10, 8, 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], [2695357/
1048576, 1347679/524288], [0, 0]]]], [[3, 7, 10, 8, 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], [2695357/1048576, 1347679/524288], [328517/262144
, 1314069/1048576]]]], [[3, 7, 10, 8, 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], [2695357/1048576, 1347679/524288], [3, 3]]]], [[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(0 < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1/2, -1/2], [
1026087/1048576, 1026087/1048576], [-3, -3]]]], [[3, 9, 5, 7, 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-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [-1/2, -1/2], [1026087/1048576, 1026087/
1048576], [-79689/65536, -1275023/1048576]]]], [[3, 9, 5, 7, 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-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1/2, -1/2], [
1026087/1048576, 1026087/1048576], [0, 0]]]], [[3, 9, 5, 7, 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-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [0, 0], [-1/2, -1/2], [1026087/1048576, 1026087/1048576], [
1275023/1048576, 79689/65536]]]], [[3, 9, 5, 7, 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-
u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [-1/2, -1/2], [1026087/1048576, 1026087/1048576], [3, 3]]]],
[[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 = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3
], [1, 1], [-11624291/2097152, -5812145/1048576], [0, 0]]]], [[4, 1, 10, 1, 1]
, [v = -1, u < -3^(1/2), x = u^2-2, y < 0, z = z], [regular_chain, [[-1, -1],
[-3, -3], [7, 7], [-1, -1], [0, 0]]]], [[4, 7, 10, 2, 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, 5, 1, 1], [v = -1, And(0 < u,u < 1), And(-1 < x,x <
-u^2), y < x, z = z], [regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [-2
, -2], [0, 0]]]], [[4, 13, 11, 8, 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], [4692109/1048576, 2346055/524288], [-3, -3]]]], [[4, 13, 11,
8, 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], [4692109
/1048576, 2346055/524288], [-3299097/2097152, -3299097/2097152]]]], [[4, 13, 
11, 8, 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
], [4692109/1048576, 2346055/524288], [-1/4194304, -1/4194304]]]], [[4, 13, 11
, 8, 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], [4692109
/1048576, 2346055/524288], [412387/262144, 1649549/1048576]]]], [[4, 13, 11, 8
, 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], [4692109
/1048576, 2346055/524288], [3, 3]]]], [[4, 15, 4, 9, 1], [v = -1, 3^(1/2) < u,
x = -1, u^2-1 < y, z < -(y+1)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-1,
-1], [9, 9], [-5, -5]]]], [[4, 15, 4, 9, 2], [v = -1, 3^(1/2) < u, x = -1, u^2
-1 < y, z = -(y+1)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-1, -1], [9, 9]
, [-3315889/1048576, -207243/65536]]]], [[4, 15, 4, 9, 3], [v = -1, 3^(1/2) <
u, x = -1, u^2-1 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain,
[[-1, -1], [3, 3], [-1, -1], [9, 9], [0, 0]]]], [[4, 15, 4, 9, 4], [v = -1, 3^
(1/2) < u, x = -1, u^2-1 < y, z = (y+1)^(1/2)], [regular_chain, [[-1, -1], [3,
3], [-1, -1], [9, 9], [207243/65536, 3315889/1048576]]]], [[4, 15, 4, 9, 5], [
v = -1, 3^(1/2) < u, x = -1, u^2-1 < y, (y+1)^(1/2) < z], [regular_chain, [[-1
, -1], [3, 3], [-1, -1], [9, 9], [5, 5]]]], [[5, 5, 10, 3, 1], [And(-1 < v,v <
0), And(-(v^2+1)^(1/2) < u,u < v), x = 1, And(0 < y,y < 1), z = z], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [1
/2, 1/2], [0, 0]]]], [[5, 7, 6, 7, 1], [And(-1 < v,v < 0), And(v < u,u < -v),
x = -u^2+v^2-1, -2*u^2+2*v^2 < y, 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, 7, 2], [
And(-1 < v,v < 0), And(v < u,u < -v), x = -u^2+v^2-1, -2*u^2+2*v^2 < y, 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, 7, 3], [And(-1 < v,v <
0), And(v < u,u < -v), x = -u^2+v^2-1, -2*u^2+2*v^2 < y, 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, 7, 4], [And(-1 < v,v
< 0), And(v < u,u < -v), x = -u^2+v^2-1, -2*u^2+2*v^2 < y, 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, 7, 5], [And(-1 < v,v < 0), And(v < u,u
< -v), x = -u^2+v^2-1, -2*u^2+2*v^2 < y, (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,
4, 1, 1], [And(-1 < v,v < 0), u = -v, x = 0, y < 0, z = z], [regular_chain, [[
-1/2, -1/2], [1/2, 1/2], [0, 0], [-1, -1], [0, 0]]]], [[5, 9, 11, 1, 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], [-1,
-1], [0, 0]]]], [[6, 2, 5, 2, 1], [v = 0, u = -2^(1/2), And(-1 < x,x < 0), y =
x-1, z = z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1/
2, -1/2], [-3/2, -3/2], [0, 0]]]], [[6, 3, 9, 5, 1], [v = 0, And(-2^(1/2) < u,
u < -1), And(u^2-1 < x,x < 1), And(x-u^2+1 < y,y < x), z = z], [regular_chain,
[[0, 0], [-1265743/1048576, -1265743/1048576], [1527887/2097152, 1527887/
2097152], [1/2, 1/2], [0, 0]]]], [[6, 8, 6, 2, 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, 2, 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, 2, 3], [v = 0, u = 1, x = 0, y = 0,
0 < z], [regular_chain, [[0, 0], [1, 1], [0, 0], [0, 0], [1, 1]]]], [[6, 9, 11
, 2, 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
, 4, 2, 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, 2, 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, 2, 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, 9, 6,
1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = x
-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [1/2, 1/2], [574353/524288, 1148707/1048576], [-2,
-2]]]], [[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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [
[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2], [574353/524288,
1148707/1048576], [-1618333/2097152, -3236665/4194304]]]], [[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-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], [1/2, 1/2], [574353/524288,
1148707/1048576], [-1/8388608, -1/8388608]]]], [[7, 5, 9, 6, 4], [And(0 < v,v
< 1), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = x-u^2+v^2+1, z = (
-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [1/2, 1/2], [574353/524288, 1148707/1048576], [404583/524288, 809167
/1048576]]]], [[7, 5, 9, 6, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u <
-v), And(0 < x,x < 1), y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2],
[574353/524288, 1148707/1048576], [2, 2]]]], [[8, 1, 2, 2, 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, 4, 7, 1], [v = 1, u = -3^(1/2), x = -1, 
And(0 < y,y < 2), z < -(y+1)^(1/2)], [regular_chain, [[1, 1], [-1816187/
1048576, -3632373/2097152], [-1, -1], [1, 1], [-3, -3]]]], [[8, 2, 4, 7, 2], [
v = 1, u = -3^(1/2), x = -1, And(0 < y,y < 2), z = -(y+1)^(1/2)], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-1, -1], [1, 1]
, [-1482911/1048576, -741455/524288]]]], [[8, 2, 4, 7, 3], [v = 1, u = -3^(1/2
), x = -1, And(0 < y,y < 2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-1, -1], [1, 1]
, [0, 0]]]], [[8, 2, 4, 7, 4], [v = 1, u = -3^(1/2), x = -1, And(0 < y,y < 2),
z = (y+1)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152
], [-1, -1], [1, 1], [741455/524288, 1482911/1048576]]]], [[8, 2, 4, 7, 5], [v
= 1, u = -3^(1/2), x = -1, And(0 < y,y < 2), (y+1)^(1/2) < z], [regular_chain,
[[1, 1], [-1816187/1048576, -3632373/2097152], [-1, -1], [1, 1], [3, 3]]]], [[
8, 8, 5, 3, 1], [v = 1, u = 0, And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)
^(1/2)], [regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [-1/4, -1/4], [-2, -2]
]]], [[8, 8, 5, 3, 2], [v = 1, u = 0, And(-1 < x,x < 0), And(x < y,y < 0), z =
-(y-x)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [-1/4, -1/4], [-\
1/2, -1/2]]]], [[8, 8, 5, 3, 3], [v = 1, u = 0, And(-1 < x,x < 0), And(x < y,y
< 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [0, 0],
[-1/2, -1/2], [-1/4, -1/4], [0, 0]]]], [[8, 8, 5, 3, 4], [v = 1, u = 0, And(-1
< x,x < 0), And(x < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [0, 0
], [-1/2, -1/2], [-1/4, -1/4], [1/2, 1/2]]]], [[8, 8, 5, 3, 5], [v = 1, u = 0,
And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1, 1]
, [0, 0], [-1/2, -1/2], [-1/4, -1/4], [2, 2]]]], [[8, 9, 10, 9, 1], [v = 1, 
And(0 < u,u < 1), x = 1, -u^2+3 < y, z < -(y-1)^(1/2)], [regular_chain, [[1, 1
], [1/2, 1/2], [1, 1], [4, 4], [-3, -3]]]], [[8, 9, 10, 9, 2], [v = 1, And(0 <
u,u < 1), x = 1, -u^2+3 < y, z = -(y-1)^(1/2)], [regular_chain, [[1, 1], [1/2,
1/2], [1, 1], [4, 4], [-1816187/1048576, -3632373/2097152]]]], [[8, 9, 10, 9,
3], [v = 1, And(0 < u,u < 1), x = 1, -u^2+3 < y, 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, 9, 4], [v = 1, And(0 < u,u < 1), x = 1, -u^2+3 < y,
z = (y-1)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [4, 4], [908093
/524288, 1816187/1048576]]]], [[8, 9, 10, 9, 5], [v = 1, And(0 < u,u < 1), x =
1, -u^2+3 < y, (y-1)^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2], [1, 1],
[4, 4], [3, 3]]]], [[8, 14, 5, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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 = x+1, 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, 6, 2], [And(1 < v,v < 2^(1/2)), u = -v, And(0 < x,x < 1), y = x+1, 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, 6, 3], [And(
1 < v,v < 2^(1/2)), u = -v, And(0 < x,x < 1), y = x+1, 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, 6, 4], [And(1
< v,v < 2^(1/2)), u = -v, And(0 < x,x < 1), y = x+1, 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, 6, 5], [And(1 < v,v < 2^(1/2)), u =
-v, And(0 < x,x < 1), y = x+1, 1 < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [3/2, 3/2]
, [2, 2]]]], [[9, 8, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 = x, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [-4, -4], [-4, -4], [-1, -1]]]], [[
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 = x, z = 0], [regular_chain, [[1265743/1048576, 1265743
/1048576], [0, 0], [-4, -4], [-4, -4], [0, 0]]]], [[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 = x
, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-4, -4
], [-4, -4], [1, 1]]]], [[9, 10, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 4, 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, 4, 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, 4, 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, 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
< -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3],
[7909297/2097152, 7909297/2097152], [14, 14], [-5, -5]]]], [[9, 17, 9, 9, 2],
[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 = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [3, 3], [7909297/2097152, 7909297/2097152], [14, 14], [-104799/32768, -\
3353567/1048576]]]], [[9, 17, 9, 9, 3], [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, And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [
7909297/2097152, 7909297/2097152], [14, 14], [0, 0]]]], [[9, 17, 9, 9, 4], [
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 = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[3, 3], [7909297/2097152, 7909297/2097152], [14, 14], [3353567/1048576, 104799
/32768]]]], [[9, 17, 9, 9, 5], [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, (y-x)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [7909297/2097152, 7909297/2097152],
[14, 14], [5, 5]]]], [[10, 5, 1, 5, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v)
, x < -u^2+1, And(x-u^2+3 < y,y < u^2+x-1), z < -(y-x)^(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(x-u^2+3 < y,y < u^2+x-1), z = -(y-x)^(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(x-u^2+3 < y,y < u^2+x-1), And(-(y-x)
^(1/2) < z,z < (y-x)^(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(x-u^2+3 <
y,y < u^2+x-1), z = (y-x)^(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(x-u
^2+3 < y,y < u^2+x-1), (y-x)^(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 = 0, z =
z], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -\
741455/524288], [1/2, 1/2], [0, 0], [0, 0]]]], [[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(0 < y,y < 1), z = z], [regular_chain,
[[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [1, 1],
[1/2, 1/2], [0, 0]]]], [[11, 2, 8, 1, 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], [-1, -1], [0, 0]]]], [[11, 4, 1, 6, 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, 6,
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, 6, 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, 6, 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, 6, 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, 3, 1, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-3 < x,x
< -1), y < x-1, z = z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [-2, -2], [-4, -4], [0, 0]]]], [[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 = x, z < 0], [
regular_chain, [[3, 3], [0, 0], [1/2, 1/2], [1/2, 1/2], [-1, -1]]]], [[11, 11,
7, 6, 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, 6, 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, 4, 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, 4, 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, 4, 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, 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(0 < y,y < x-u^2+v^2+1), z < -(y-x)^
(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(0 < y,y < x-u^2+v^2+1), z = -(y-x)^(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(
0 < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(0 < y,y < x-u^2+v^
2+1), z = (y-x)^(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(0 < y,y < x-u^2+v^2+1), (y-x)^(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 = -1, z < 0], [
regular_chain, [[-3, -3], [-5, -5], [-1, -1], [-1, -1], [-1, -1]]]], [[1, 1, 4
, 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, 4,
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, 2, 6,
7, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = 0, 3 < y, z < -y^(1/2)], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [0, 0], [4, 4],
[-3, -3]]]], [[1, 2, 6, 7, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = 0, 3 < y
, z = -y^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576
], [0, 0], [4, 4], [-2, -2]]]], [[1, 2, 6, 7, 3], [v < -2^(1/2), u = -(v^2+2)^
(1/2), x = 0, 3 < y, 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, 7
, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = 0, 3 < y, z = y^(1/2)], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [0, 0], [4, 4],
[2, 2]]]], [[1, 2, 6, 7, 5], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = 0, 3 < y,
y^(1/2) < z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576],
[0, 0], [4, 4], [3, 3]]]], [[1, 8, 7, 7, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2)
, And(0 < x,x < 1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [1/2, 1/2], [4, 4], [-3, -3]]]], [[1, 8,
7, 7, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(0 < x,x < 1), x+2 < y, z = -(
y-x)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304],
[1/2, 1/2], [4, 4], [-7846825/4194304, -980853/524288]]]], [[1, 8, 7, 7, 3], [
v < -2^(1/2), u = -(v^2-1)^(1/2), And(0 < x,x < 1), x+2 < y, And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283
/4194304], [1/2, 1/2], [4, 4], [0, 0]]]], [[1, 8, 7, 7, 4], [v < -2^(1/2), u =
-(v^2-1)^(1/2), And(0 < x,x < 1), x+2 < y, z = (y-x)^(1/2)], [regular_chain, [
[-3, -3], [-2965821/1048576, -11863283/4194304], [1/2, 1/2], [4, 4], [980853/
524288, 1961707/1048576]]]], [[1, 8, 7, 7, 5], [v < -2^(1/2), u = -(v^2-1)^(1/
2), And(0 < x,x < 1), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [1/2, 1/2], [4, 4], [3, 3]]]], [[1, 10, 1
, 7, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x < -3, And(x+3 < y,y < 0), z < -(
y-x)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576],
[-4, -4], [-1/2, -1/2], [-3, -3]]]], [[1, 10, 1, 7, 2], [v < -2^(1/2), u = -(v
^2-2)^(1/2), x < -3, And(x+3 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[
-3, -3], [-5548543/2097152, -2774271/1048576], [-4, -4], [-1/2, -1/2], [-\
7846825/4194304, -980853/524288]]]], [[1, 10, 1, 7, 3], [v < -2^(1/2), u = -(v
^2-2)^(1/2), x < -3, And(x+3 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-4, -4],
[-1/2, -1/2], [0, 0]]]], [[1, 10, 1, 7, 4], [v < -2^(1/2), u = -(v^2-2)^(1/2),
x < -3, And(x+3 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [-4, -4], [-1/2, -1/2], [980853/524288, 
1961707/1048576]]]], [[1, 10, 1, 7, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), x <
-3, And(x+3 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-5548543
/2097152, -2774271/1048576], [-4, -4], [-1/2, -1/2], [3, 3]]]], [[1, 14, 3, 2,
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, 2, 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, 2, 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, 15, 9, 3, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), And(0 < x,x < 1), And(0 < y,y < x), z = z], [regular_chain, [[-3, -3],
[6111549/2097152, 6111549/2097152], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[1, 21
, 8, 5, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 1, And(0 < y,y < 1), 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 < 0, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [7, 7], [-1, -1], [0, 0]]]], [[2,
10, 1, 9, 1], [v = -2^(1/2), u = 0, x < -3, 0 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-4, -4], [1, 1],
[-4, -4]]]], [[2, 10, 1, 9, 2], [v = -2^(1/2), u = 0, x < -3, 0 < y, z = -(y-x
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-4, -4
], [1, 1], [-146543/65536, -2344687/1048576]]]], [[2, 10, 1, 9, 3], [v = -2^(1
/2), u = 0, x < -3, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-4, -4], [1, 1],
[0, 0]]]], [[2, 10, 1, 9, 4], [v = -2^(1/2), u = 0, x < -3, 0 < y, z = (y-x)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-4, -4],
[1, 1], [2344687/1048576, 146543/65536]]]], [[2, 10, 1, 9, 5], [v = -2^(1/2),
u = 0, x < -3, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [0, 0], [-4, -4], [1, 1], [4, 4]]]], [[2, 11, 6, 5, 1], [v = -
2^(1/2), And(0 < u,u < 1), x = 0, And(0 < y,y < -u^2+3), 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, 5, 2], [v = -2^(1/2), And(0 < u,u < 1), x = 0,
And(0 < y,y < -u^2+3), 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, 5, 3], [v = -2^(1/2), And(0 < u,u < 1), x = 0, And(0 <
y,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], [11/8, 11/8], [0, 0]]]], [[2, 11
, 6, 5, 4], [v = -2^(1/2), And(0 < u,u < 1), x = 0, And(0 < y,y < -u^2+3), 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, 5, 5], [v =
-2^(1/2), And(0 < u,u < 1), x = 0, And(0 < y,y < -u^2+3), y^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [0, 0], [11/8,
11/8], [3, 3]]]], [[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-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [505467/
2097152, 505467/2097152], [4, 4], [-3, -3]]]], [[2, 17, 7, 9, 2], [v = -2^(1/2
), And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), u^2+x-1 < y, z = -(y-x)^(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, 9, 3], [v = -2^(1/2), And(3^(1/2)
< u,u < 2), And(0 < x,x < u^2-3), u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^
(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152
, 3913339/2097152], [505467/2097152, 505467/2097152], [4, 4], [0, 0]]]], [[2,
17, 7, 9, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), u^2
+x-1 < y, z = (y-x)^(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, 9, 5], [v = -2^(1/2), And(
3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), u^2+x-1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [505467/2097152, 505467/2097152], [4, 4], [3, 3]]]], [[2, 19, 1, 5,
1], [v = -2^(1/2), 2 < u, x < -u^2+1, And(x < y,y < u^2+x-1), z < -(y-x)^(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(x <
y,y < u^2+x-1), z = -(y-x)^(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(x < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-
x)^(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(x < y,y < u^2+x-1), z = (y-x)^(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(x < y,y < u^2+x-1), (y-x)^(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(0 < y,y < x-u^2+v^2+1), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [2, 2], [797593/1048576, 797593/1048576], [0, 0]]]], [[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 = 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], [980473/1048576, 490237/524288], [-3, -3]]]], [[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 = 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], [980473/1048576, 490237/524288], [-1270261/1048576,
-317565/262144]]]], [[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 = 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], [
980473/1048576, 490237/524288], [0, 0]]]], [[3, 5, 6, 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 = 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], [
980473/1048576, 490237/524288], [317565/262144, 1270261/1048576]]]], [[3, 5, 6
, 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 = 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], [980473/1048576, 490237/524288], [3, 3]]]], [[3, 11
, 8, 1, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 0, y
< 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [0, 0], [-1, -1], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [-\
3213833/4194304, -3213833/4194304], [-1, -1]]]], [[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 =
x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [-3213833/
4194304, -3213833/4194304], [0, 0]]]], [[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 = x, 0 < z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3213833/4194304, -3213833/4194304], [-3213833/4194304, -\
3213833/4194304], [1, 1]]]], [[3, 14, 1, 1, 1], [And(-2^(1/2) < v,v < -1), u =
(v^2+1)^(1/2), x < -2, y < x, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1643659/1048576, 410915/262144], [-3, -3], [-4, -4], [0, 0]
]]], [[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 = x, z < 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [501965/
2097152, 501965/2097152], [125491/524288, 250983/1048576], [-1, -1]]]], [[3, 
15, 7, 6, 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], [125491/524288, 250983/1048576], [0, 0]]]], [[3, 15, 7, 6, 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], [
125491/524288, 250983/1048576], [1, 1]]]], [[4, 3, 10, 7, 1], [v = -1, And(-3^
(1/2) < u,u < -2^(1/2)), x = 1, And(1 < y,y < u^2+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, 7, 2], [v = -1, 
And(-3^(1/2) < u,u < -2^(1/2)), x = 1, And(1 < y,y < u^2+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, 7, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1, And(1 < y,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], [2346055/1048576, 2346055/1048576]
, [0, 0]]]], [[4, 3, 10, 7, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1
, And(1 < y,y < u^2+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, 7, 5], [v = -1, And(-3^(1/2) <
u,u < -2^(1/2)), x = 1, And(1 < y,y < u^2+1), (y-1)^(1/2) < z], [regular_chain
, [[-1, -1], [-6598195/4194304, -6598195/4194304], [1, 1], [2346055/1048576, 
2346055/1048576], [3, 3]]]], [[4, 5, 6, 1, 1], [v = -1, And(-2^(1/2) < u,u < -\
1), x = u^2-2, y < u^2-2, z = z], [regular_chain, [[-1, -1], [-1265743/1048576
, -1265743/1048576], [-1138531/2097152, -569265/1048576], [-2, -2], [0, 0]]]],
[[4, 10, 1, 2, 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, 2, 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, 2, 3], [v = -1, u = 1, x < -1, y = x, 0 < z], [
regular_chain, [[-1, -1], [1, 1], [-2, -2], [-2, -2], [1, 1]]]], [[4, 11, 9, 5
, 1], [v = -1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), And(x < y,y < x-u^2+2
), z < -(y-x)^(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(x < y,y < x
-u^2+2), z = -(y-x)^(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(x < y,y < x-u^2+2), And(-(y-x)^(1/2) < z,z < (y-x)^(
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(x < y,y < x-u
^2+2), z = (y-x)^(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(x < y,y < x-u^2+2), (y-x)^(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 = x, z < 0], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2]
, [-2, -2], [-2, -2], [-1, -1]]]], [[5, 2, 3, 4, 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, 4, 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, 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 < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2],
[-343151/262144, -343151/262144], [243021/1048576, 243021/1048576], [4, 4], [-\
3, -3]]]], [[5, 3, 7, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(
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, 9, 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), u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [243021/1048576, 243021/1048576], [4, 4], [3,
3]]]], [[5, 12, 2, 2, 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, 6, 7, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = 0, u^2-v^
2+1 < y, z < -y^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [0, 0], [11, 11
], [-5, -5]]]], [[5, 13, 6, 7, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x =
0, u^2-v^2+1 < y, z = -y^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [0, 0]
, [11, 11], [-1738867/524288, -3477733/1048576]]]], [[5, 13, 6, 7, 3], [And(-1
< v,v < 0), (v^2+2)^(1/2) < u, x = 0, u^2-v^2+1 < y, 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, 7, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = 0, u^2-v^2+1 < y, z
= y^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [0, 0], [11, 11], [3477733/
1048576, 1738867/524288]]]], [[5, 13, 6, 7, 5], [And(-1 < v,v < 0), (v^2+2)^(1
/2) < u, x = 0, u^2-v^2+1 < y, y^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3
, 3], [0, 0], [11, 11], [5, 5]]]], [[6, 5, 11, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 9, 2, 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, 11, 5, 1], [v = 0, 2^(1/2) < u, u^
2-1 < x, And(x-u^2+1 < y,y < x), 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-1, z = z], [regular_chain, [[1/2, 1/2], [-3/2, -3/
2], [-2, -2], [-4, -4], [0, 0]]]], [[7, 8, 3, 2, 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, 2, 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, 2, 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, 10, 8, 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], [
2521309/1048576, 1260655/524288], [-3, -3]]]], [[7, 9, 10, 8, 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],
[2521309/1048576, 1260655/524288], [-19417/16384, -1242687/1048576]]]], [[7, 9
, 10, 8, 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], [2521309/1048576, 1260655
/524288], [0, 0]]]], [[7, 9, 10, 8, 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], [2521309/1048576, 1260655/
524288], [1242687/1048576, 19417/16384]]]], [[7, 9, 10, 8, 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], [
2521309/1048576, 1260655/524288], [3, 3]]]], [[7, 10, 8, 5, 1], [And(0 < v,v <
1), u = (v^2+1)^(1/2), x = 1, And(1 < y,y < 3), z < -(y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [1, 1], [2, 2],
[-2, -2]]]], [[7, 10, 8, 5, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = 1, 
And(1 < y,y < 3), z = -(y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/
1048576, 146543/131072], [1, 1], [2, 2], [-1, -1]]]], [[7, 10, 8, 5, 3], [And(
0 < v,v < 1), u = (v^2+1)^(1/2), x = 1, And(1 < y,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], [2, 2], [0, 0]]]], [[7, 10, 8, 5, 4], [And(0 < v,v < 1), u =
(v^2+1)^(1/2), x = 1, And(1 < y,y < 3), z = (y-1)^(1/2)], [regular_chain, [[1/
2, 1/2], [1172343/1048576, 146543/131072], [1, 1], [2, 2], [1, 1]]]], [[7, 10,
8, 5, 5], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = 1, And(1 < y,y < 3), (y-1)
^(1/2) < z], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [1
, 1], [2, 2], [2, 2]]]], [[7, 12, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 6, 3, 1], [v = 1, u = -2^(1/2), x = 0, And(0 < y,y < 2), 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(0 < y,y < 2), 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(0
< y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y
,y < x), z = z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576]
, [2, 2], [1, 1], [0, 0]]]], [[8, 11, 1, 6, 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], [-3235683/2097152, -1617841/1048576], [-3, -3]]]],
[[8, 11, 1, 6, 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], [-\
3235683/2097152, -1617841/1048576], [-1265743/1048576, -1265743/1048576]]]], [
[8, 11, 1, 6, 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], [-3235683/2097152, -1617841/1048576], [0, 0]]]], [[8, 11, 1, 6, 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], [-3235683/2097152, -1617841/
1048576], [1265743/1048576, 1265743/1048576]]]], [[8, 11, 1, 6, 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], [-3235683/2097152, -1617841/
1048576], [3, 3]]]], [[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 < 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [2, 2], [-1, -1], [0, 0]]]], [[9, 4, 2, 2,
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, 2, 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, 2, 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, 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 < x, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-3, -3], [-4, -4], [0, 0]]]], [[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+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, 6, 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, 6, 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, 6, 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, 6, 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, 8, 3, 1], [v = 2^(1/2),
u = -2, x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [-2, -2], [1, 1], [1/2, 1/2], [0, 0]]]], [[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 = 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, 3, 3, 1], [v = 2^(1/2), u = 0, And(-3 < x,x < -1), And(x-1 < y,y < x), z =
z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-2, -2], [-5/2
, -5/2], [0, 0]]]], [[10, 16, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 17, 9, 3, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(u^2-3 < x,x <
1), And(0 < y,y < x-u^2+3), z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [388511/524288, 388511/524288],
[135777/1048576, 135777/1048576], [0, 0]]]], [[10, 18, 5, 4, 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
, 4, 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, 4, 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, 19, 9, 5, 1], [v = 2^(1/2), 2 < u, And(1 < x,x <
u^2-3), And(0 < y,y < x), 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 = 0, z = z], [regular_chain, [[3, 3], [-3,
-3], [1/2, 1/2], [0, 0], [0, 0]]]], [[11, 7, 11, 7, 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-u^2+v^2+1), z < -(y-x)
^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [2, 2]
, [3, 3], [-2, -2]]]], [[11, 7, 11, 7, 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-u^2+v^2+1), z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [2, 2], [3, 3],
[-1, -1]]]], [[11, 7, 11, 7, 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-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1
/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [2, 2],
[3, 3], [0, 0]]]], [[11, 7, 11, 7, 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-u^2+v^2+1), z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [2, 2], [3, 3],
[1, 1]]]], [[11, 7, 11, 7, 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-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [
[3, 3], [-6111549/2097152, -6111549/2097152], [2, 2], [3, 3], [2, 2]]]], [[11,
12, 3, 7, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-3 < x,x < -1), And(0 < y,y
< x+3), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/
4096], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[11, 12, 3, 7, 2], [2^(1/2) < v, u
= (v^2-2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-2, -2], [1/2, 1/2], [
-3315889/2097152, -207243/131072]]]], [[11, 12, 3, 7, 3], [2^(1/2) < v, u = (v
^2-2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-2, -2
], [1/2, 1/2], [0, 0]]]], [[11, 12, 3, 7, 4], [2^(1/2) < v, u = (v^2-2)^(1/2),
And(-3 < x,x < -1), And(0 < y,y < x+3), z = (y-x)^(1/2)], [regular_chain, [[3,
3], [2774271/1048576, 10837/4096], [-2, -2], [1/2, 1/2], [207243/131072, 
1657945/1048576]]]], [[11, 12, 3, 7, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), And(
-3 < x,x < -1), And(0 < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[3, 3],
[2774271/1048576, 10837/4096], [-2, -2], [1/2, 1/2], [3, 3]]]], [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3],
[1435023/524288, 1435023/524288], [133259/524288, 133259/524288], [1448353/
524288, 2896707/1048576], [-3, -3]]]], [[11, 13, 7, 8, 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-u^2+v^2+
1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023
/524288], [133259/524288, 133259/524288], [1448353/524288, 2896707/1048576], [
-3321417/2097152, -415177/262144]]]], [[11, 13, 7, 8, 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-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], [133259/524288, 133259/524288], [1448353/
524288, 2896707/1048576], [0, 0]]]], [[11, 13, 7, 8, 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 = x-u^2+v^2+1,
z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [133259/524288, 133259/524288], [1448353/524288, 2896707/1048576], [
415177/262144, 1660709/1048576]]]], [[11, 13, 7, 8, 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 = x-u^2+v^2+1,
(-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [133259/524288, 133259/524288], [1448353/524288, 2896707/1048576], [3
, 3]]]], [[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), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [1566621/2097152,
1566621/2097152], [5, 5], [-4, -4]]]], [[11, 19, 9, 9, 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), u^2-v^2+x+1 < y
, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [1566621/2097152, 1566621/2097152], [5, 5], [-540613/262144, -\
2162451/1048576]]]], [[11, 19, 9, 9, 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), u^2-v^2+x+1 < y, And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [1566621/2097152, 1566621/2097152], [5, 5], [0, 0]]]], [[11, 19, 9,
9, 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), u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [3396811
/1048576, 3396811/1048576], [1566621/2097152, 1566621/2097152], [5, 5], [
2162451/1048576, 540613/262144]]]], [[11, 19, 9, 9, 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), u^2-v^2+x+1 < y, (
y-x)^(1/2) < z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576],
[1566621/2097152, 1566621/2097152], [5, 5], [4, 4]]]], [[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 < x-u^2+v^2+1, z =
z], [regular_chain, [[3, 3], [5, 5], [-9, -9], [-25, -25], [0, 0]]]], [[1, 4,
8, 7, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = 1, 3 < y, z < -(y-1)^(1/2)],
[regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [1, 1], [4, 4],
[-3, -3]]]], [[1, 4, 8, 7, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = 1, 3 < y
, z = -(y-1)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/
65536], [1, 1], [4, 4], [-1816187/1048576, -3632373/2097152]]]], [[1, 4, 8, 7,
3], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = 1, 3 < y, 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, 7, 4], [v < -2^(1/2), u
= -(v^2+1)^(1/2), x = 1, 3 < y, z = (y-1)^(1/2)], [regular_chain, [[-3, -3], [
-3315889/1048576, -207243/65536], [1, 1], [4, 4], [908093/524288, 1816187/
1048576]]]], [[1, 4, 8, 7, 5], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = 1, 3 < y
, (y-1)^(1/2) < z], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/
65536], [1, 1], [4, 4], [3, 3]]]], [[1, 6, 3, 2, 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, 2, 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, 2, 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, 1, 9, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x < -3,
0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/
4096], [-4, -4], [1, 1], [-4, -4]]]], [[1, 12, 1, 9, 2], [v < -2^(1/2), u = (v
^2-2)^(1/2), x < -3, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [-4, -4], [1, 1], [-146543/65536, -2344687/
1048576]]]], [[1, 12, 1, 9, 3], [v < -2^(1/2), u = (v^2-2)^(1/2), x < -3, 0 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [2774271
/1048576, 10837/4096], [-4, -4], [1, 1], [0, 0]]]], [[1, 12, 1, 9, 4], [v < -2
^(1/2), u = (v^2-2)^(1/2), x < -3, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[
-3, -3], [2774271/1048576, 10837/4096], [-4, -4], [1, 1], [2344687/1048576, 
146543/65536]]]], [[1, 12, 1, 9, 5], [v < -2^(1/2), u = (v^2-2)^(1/2), x < -3,
0 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/
4096], [-4, -4], [1, 1], [4, 4]]]], [[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 < -y^(1/
2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [0, 0], [
657547/524288, 657547/524288], [-3, -3]]]], [[1, 13, 6, 5, 2], [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
= -y^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [0,
0], [657547/524288, 657547/524288], [-1174299/1048576, -587149/524288]]]], [[1
, 13, 6, 5, 3], [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), 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, 5, 4], [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 = y^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [0, 0], [657547/
524288, 657547/524288], [587149/524288, 1174299/1048576]]]], [[1, 13, 6, 5, 5]
, [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), y^(1/2) < z], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [0, 0], [657547/524288, 657547/524288], [3, 3]]]], [[1, 18, 2
, 1, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), x = -2, y < -2, z = z], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-2, -2], [-3, -3],
[0, 0]]]], [[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], [129511/
262144, 518045/1048576], [-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], [129511/262144, 518045/1048576], [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], [129511/262144, 518045/1048576], [1
, 1]]]], [[2, 3, 11, 3, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, 
And(0 < y,y < x-u^2+3), z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [2, 2], [397921/524288, 397921/
524288], [0, 0]]]], [[2, 5, 6, 6, 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], [248903/262144, 995613/1048576], [-3, -3]]]], [[2,
5, 6, 6, 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], [
248903/262144, 995613/1048576], [-636691/524288, -1273381/1048576]]]], [[2, 5,
6, 6, 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], [248903/262144, 995613/1048576], [0, 0]]]], [[2, 5, 6, 6, 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], [248903/262144, 
995613/1048576], [1273381/1048576, 636691/524288]]]], [[2, 5, 6, 6, 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], [248903/262144, 995613/
1048576], [3, 3]]]], [[2, 6, 3, 3, 1], [v = -2^(1/2), u = v, And(-1 < x,x < 0)
, And(x < y,y < 0), z < -(y-x)^(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(
x < y,y < 0), z = -(y-x)^(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, 3, 3], [v = -2^(1/2), u = v, And(-1 < x,x < 0), And(x <
y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [v = -2^(1/2), u = v, And(-1 < x,x <
0), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = -2^(1/2), u = v, And(-1 < x,x < 0), 
And(x < y,y < 0), (y-x)^(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, -u^2+
4 < y, z < -(y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1265743/1048576, -1265743/1048576], [1, 1], [4, 4], [-3, -3]]]], [[2, 7, 10,
9, 2], [v = -2^(1/2), And(v < u,u < -1), x = 1, -u^2+4 < y, 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, 9, 3], [v = -2^(1/2), And(v < u,u < -1), x = 1, -u^2+4 < y, 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, 9, 4], [v = -2^(1/2), And(v < u,u < -1), x = 1, -u^2
+4 < y, 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, 9, 5], [v = -2^(1/2), And(v < u,u < -1), x = 1, -u^2+
4 < y, (y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1265743/1048576, -1265743/1048576], [1, 1], [4, 4], [3, 3]]]], [[2, 13, 8, 6
, 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], [1617841/1048576, 808921/524288], [-3, -3]]]], [[2,
13, 8, 6, 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], [1617841/1048576, 808921/524288], [-1302471
/1048576, -651235/524288]]]], [[2, 13, 8, 6, 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], [1617841/1048576, 808921/524288], [0, 0]]]], [[2, 13, 8, 6,
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], [1617841/1048576, 808921/524288], [651235/524288, 1302471/
1048576]]]], [[2, 13, 8, 6, 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], [1617841/1048576, 808921/524288
], [3, 3]]]], [[2, 15, 5, 7, 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-1), z < -(y-x)^(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, 7, 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-1), z = -(y-x)^(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, 7, 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-1), And(-(y-x)^(1/2) < z,z < (y-x
)^(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, 7, 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-1), z = (y-x)^(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, 7, 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-1), (y-
x)^(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, 5, 1], [v = -2^(1/2), 2 < u, x
= 1, And(0 < y,y < 1), 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 < 0, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [8, 8], [-1, -\
1], [0, 0]]]], [[3, 7, 10, 5, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v
^2-1)^(1/2)), x = 1, And(1 < y,y < u^2-v^2+2), 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(1 < y,y < u^2-v^2+2), 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(1 < 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], [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(1 < y,y < u^2-v^2+2), 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(1 < y
,y < u^2-v^2+2), (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 = x-u^2+v
^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [-1/2, -1/2], [1026087/524288, 2052175/1048576], [-3, -3]]]]
, [[3, 9, 5, 8, 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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1/2, -1/2], [
1026087/524288, 2052175/1048576], [-410915/262144, -3287319/2097152]]]], [[3,
9, 5, 8, 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-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]
, [-1/2, -1/2], [1026087/524288, 2052175/1048576], [-1/4194304, -1/4194304]]]]
, [[3, 9, 5, 8, 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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1/2, -1/2], [
1026087/524288, 2052175/1048576], [1643659/1048576, 410915/262144]]]], [[3, 9,
5, 8, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [0, 0], [-1/2, -1/2], [1026087/524288,
2052175/1048576], [3, 3]]]], [[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 < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1/2, 1/2], [
9482161/1048576, 4741081/524288], [-4, -4]]]], [[3, 17, 7, 8, 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], [9482161/1048576, 4741081/524288], [-1532401/524288, -24518415/
8388608]]]], [[3, 17, 7, 8, 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], [9482161/1048576, 4741081/524288], [-7/16777216, -7/16777216]]]], [[3, 
17, 7, 8, 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], [9482161/1048576, 4741081/524288], [
3064801/1048576, 1532401/524288]]]], [[3, 17, 7, 8, 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],
[9482161/1048576, 4741081/524288], [4, 4]]]], [[4, 1, 10, 2, 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, 1, 1], [v = -1, And(-1 < u,u < 0), x = 1, y
< 0, z = z], [regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [-1, -1], [0, 0]
]]], [[4, 9, 5, 4, 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, 4, 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, 4, 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, 4, 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, 4,
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, 13, 11, 5, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, And(x-u^2+2 <
y,y < x), z = z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152
], [2, 2], [3696499/2097152, 3696499/2097152], [0, 0]]]], [[4, 15, 5, 1, 1], [
v = -1, 3^(1/2) < u, And(-1 < x,x < 0), y < x-u^2+2, z = z], [regular_chain, [
[-1, -1], [3, 3], [-1/2, -1/2], [-9, -9], [0, 0]]]], [[5, 5, 10, 2, 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, 3, 1], [And(-1 < v,v < 0), And(v < u,u < -v), And(
-u^2+v^2-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[
-1/2, -1/2], [0, 0], [-3/8, -3/8], [-3/16, -3/16], [-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(x <
y,y < 0), z = -(y-x)^(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, 3, 3], [
And(-1 < v,v < 0), And(v < u,u < -v), And(-u^2+v^2-1 < x,x < 0), And(x < y,y <
0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [0,
0], [-3/8, -3/8], [-3/16, -3/16], [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(x < y,y < 0), z = (y-x)^
(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, 3, 5], [And(-1 < v,v < 0), And(v
< u,u < -v), And(-u^2+v^2-1 < x,x < 0), And(x < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [-3/16, -3/16], [2, 2]]]],
[[5, 8, 3, 5, 1], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 0), And(0 < y,y <
x+1), z < -(y-x)^(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+1), z = -(y-x)^(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, 5, 3], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 0),
And(0 < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 5, 4], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 0), And(0 < y,y
< x+1), z = (y-x)^(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, 5, 5], [And(-1
< v,v < 0), u = -v, And(-1 < x,x < 0), And(0 < y,y < x+1), (y-x)^(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
= 0, z = z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152]
, [2, 2], [0, 0], [0, 0]]]], [[6, 2, 5, 1, 1], [v = 0, u = -2^(1/2), And(-1 <
x,x < 0), y < x-1, z = z], [regular_chain, [[0, 0], [-1482911/1048576, -741455
/524288], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[6, 3, 9, 8, 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], [1670203/524288, 3340407/1048576], [-3, -3]]]], [[6, 3, 9,
8, 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], [1670203/524288, 3340407/1048576
], [-410915/262144, -3287319/2097152]]]], [[6, 3, 9, 8, 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], [1670203/524288, 3340407/1048576], [-1/
4194304, -1/4194304]]]], [[6, 3, 9, 8, 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], [
1670203/524288, 3340407/1048576], [1643659/1048576, 410915/262144]]]], [[6, 3,
9, 8, 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], [1670203/524288, 3340407/1048576
], [3, 3]]]], [[6, 8, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 11, 3, 1], [v = 0, And(1 < u,u
< 2^(1/2)), 1 < x, And(0 < y,y < x-u^2+1), z = z], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [2, 2], [1617841/2097152, 1617841/2097152],
[0, 0]]]], [[7, 4, 4, 1, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -1, y
< -1, z = z], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576],
[-1, -1], [-2, -2], [0, 0]]]], [[7, 5, 9, 9, 1], [And(0 < v,v < 1), And(-(v^2+
1)^(1/2) < u,u < -v), And(0 < x,x < 1), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2],
[3, 3], [-3, -3]]]], [[7, 5, 9, 9, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) <
u,u < -v), And(0 < x,x < 1), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 3], [And(0 < v,v
< 1), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), u^2-v^2+x+1 < y, And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [1/2, 1/2], [3, 3], [0, 0]]]], [[7, 5, 9, 9, 4], [
And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), u^2-v^2+x+
1 < y, z = (y-x)^(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, 9, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x
< 1), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [1/2, 1/2], [3, 3], [3, 3]]]], [[8, 1, 2,
5, 1], [v = 1, u < -3^(1/2), x = -u^2, And(-u^2 < y,y < 0), z < -(u^2+y)^(1/2)
], [regular_chain, [[1, 1], [-3, -3], [-9, -9], [-9/2, -9/2], [-4, -4]]]], [[8
, 1, 2, 5, 2], [v = 1, u < -3^(1/2), x = -u^2, And(-u^2 < y,y < 0), 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, 5, 3], [v = 1, u < -3^(1/2),
x = -u^2, And(-u^2 < y,y < 0), 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
, 5, 4], [v = 1, u < -3^(1/2), x = -u^2, And(-u^2 < y,y < 0), 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, 5, 5], [v = 1, u < -3^(1/2), x = -u^2,
And(-u^2 < y,y < 0), (u^2+y)^(1/2) < z], [regular_chain, [[1, 1], [-3, -3], [-\
9, -9], [-9/2, -9/2], [4, 4]]]], [[8, 2, 4, 6, 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, 6, 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, 6, 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, 6,
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, 6,
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, 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 = u^2+1, z < -u], [
regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [5/4, 5/4], [-2, -2]]]], [[8, 9, 
10, 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], [5/4, 5/4], [-1/2, -1/2]]]], [[8, 9, 10, 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], [5/4, 5/4], [0, 0]]]], [[8, 9, 10, 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], [5/4, 5/4], [1/2, 1/2]]]], [[8, 9, 10, 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],
[5/4, 5/4], [2, 2]]]], [[8, 14, 6, 2, 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, 3, 1], [v = 1, 3^(1/2) < u, x = u^2-2, And(0 <
y,y < u^2-2), z = z], [regular_chain, [[1, 1], [3, 3], [7, 7], [7/2, 7/2], [0,
0]]]], [[9, 6, 5, 7, 1], [And(1 < v,v < 2^(1/2)), u = -v, And(0 < x,x < 1), x+
1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-1265743/1048576, -1265743/1048576], [1/2, 1/2], [3, 3], [-3, -3]]]], [[9, 6,
5, 7, 2], [And(1 < v,v < 2^(1/2)), u = -v, And(0 < x,x < 1), x+1 < y, z = -(y-
x)^(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, 7, 3], [And(1 < v,v < 2^(1/2)), u = -v, And(0 < x,x < 1
), x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [
3, 3], [0, 0]]]], [[9, 6, 5, 7, 4], [And(1 < v,v < 2^(1/2)), u = -v, And(0 < x
,x < 1), x+1 < y, z = (y-x)^(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, 7, 5], [And(1 < v,v < 2^(1/2)), u = -v
, And(0 < x,x < 1), x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [
3, 3], [3, 3]]]], [[9, 8, 1, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2
), x < -2, And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-3, -3], [-2,
-2], [-2, -2]]]], [[9, 8, 1, 3, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2
), x < -2, And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-3, -3], [-2,
-2], [-1, -1]]]], [[9, 8, 1, 3, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2
), x < -2, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-3, -3], [-2, -2], [0, 0]]]], [[9, 8, 1, 3, 4], [And(1 < v,v < 2^(1
/2)), u = -(v^2-1)^(1/2), x < -2, And(x < y,y < x+2), z = (y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-3, -3], [-2, -2], [1, 1]]]], [[9, 8, 1, 3, 5], [And(1 < v,v < 2^(1
/2)), u = -(v^2-1)^(1/2), x < -2, And(x < y,y < x+2), (y-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-3, -3], [-2, -2], [2, 2]]]], [[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-u^2+v^2+
1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [-4, -4], [-1617841/2097152, -1617841/2097152], [-3, -3]]]],
[[9, 9, 1, 7, 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(x-u^2+v^2+1 < y,y < 0), z = -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-4, -4], [-\
1617841/2097152, -1617841/2097152], [-471025/262144, -7536399/4194304]]]], [[9
, 9, 1, 7, 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(x-u^2+v^2+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-4, -4
], [-1617841/2097152, -1617841/2097152], [-3/8388608, -3/8388608]]]], [[9, 9,
1, 7, 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(x-u^2+v^2+1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [0, 0], [-4, -4], [-1617841/2097152, -\
1617841/2097152], [1884099/1048576, 471025/262144]]]], [[9, 9, 1, 7, 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(x-u^2+v^2+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-4, -4], [-1617841/2097152, -1617841/
2097152], [3, 3]]]], [[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 < -(y+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-1, -1], [1/2, 1/
2], [-3, -3]]]], [[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 = -(y+1)^(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, 5, 3], [And(1 < v,v < 2
^(1/2)), u = (v^2-1)^(1/2), x = -1, And(0 < 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], [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 = (y+1)
^(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, 5, 5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -1, And(0 < y
,y < 1), (y+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [354469/524288, 708939/1048576], [-1, -1], [1/2, 1/2], [3, 3]]]], [[9, 16, 5
, 5, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(x
< y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x
)^(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(x < y,y < 0)
, z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = x, z < 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [7909297/2097152, 7909297/2097152], [494331/131072, 3954649/
1048576], [-1, -1]]]], [[9, 17, 9, 6, 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], [494331
/131072, 3954649/1048576], [0, 0]]]], [[9, 17, 9, 6, 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], [494331/131072, 3954649/1048576], [1, 1]]]], [[10, 5, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 5, 1
, 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], [-1, -1], [0, 0]]]], [[10, 12, 4, 5, 1], [v = 2^(1/2), u = 1, x = -1, And(
0 < y,y < 1), z < -(y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1, 1], [-1, -1], [1/2, 1/2], [-3, -3]]]], [[10, 12, 4, 5, 2], [v =
2^(1/2), u = 1, x = -1, And(0 < y,y < 1), z = -(y+1)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [1, 1], [-1, -1], [1/2, 1/2], [-1284239/
1048576, -642119/524288]]]], [[10, 12, 4, 5, 3], [v = 2^(1/2), u = 1, x = -1,
And(0 < y,y < 1), And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1, -1], [1/2,
1/2], [642119/524288, 1284239/1048576]]]], [[10, 12, 4, 5, 5], [v = 2^(1/2), u
= 1, x = -1, And(0 < y,y < 1), (y+1)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [-1, -1], [1/2, 1/2], [3, 3]]]], [[10, 13, 9
, 9, 1], [v = 2^(1/2), And(1 < u,u < v), And(0 < x,x < 1), x-u^2+3 < y, z < -(
y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [1/2, 1/2], [4, 4], [-3, -3]]]], [[10, 13, 9, 9, 2]
, [v = 2^(1/2), And(1 < u,u < v), And(0 < x,x < 1), x-u^2+3 < y, z = -(y-x)^(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, 9, 3], [v = 2^(1/2), And(1 < u,u < v), And(0 < x,x < 1), x-u^2+3 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [4, 4], [0,
0]]]], [[10, 13, 9, 9, 4], [v = 2^(1/2), And(1 < u,u < v), And(0 < x,x < 1), x
-u^2+3 < y, z = (y-x)^(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, 9, 5], [v = 2^(1/2), And(1 < u,u < v), And(0
< x,x < 1), x-u^2+3 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [4, 4], [3,
3]]]], [[11, 2, 8, 2, 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, 3, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x < -2, 
And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-3315889/
1048576, -207243/65536], [-3, -3], [-2, -2], [-2, -2]]]], [[11, 4, 1, 3, 2], [
2^(1/2) < v, u = -(v^2+1)^(1/2), x < -2, And(x < y,y < x+2), z = -(y-x)^(1/2)]
, [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3, -3], [-2, -\
2], [-1, -1]]]], [[11, 4, 1, 3, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), x < -2,
And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
3, 3], [-3315889/1048576, -207243/65536], [-3, -3], [-2, -2], [0, 0]]]], [[11,
4, 1, 3, 4], [2^(1/2) < v, u = -(v^2+1)^(1/2), x < -2, And(x < y,y < x+2), z =
(y-x)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3,
-3], [-2, -2], [1, 1]]]], [[11, 4, 1, 3, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2),
x < -2, And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-\
3315889/1048576, -207243/65536], [-3, -3], [-2, -2], [2, 2]]]], [[11, 10, 3, 4
, 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, 4, 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, 4, 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, 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(0 < y,y < x), 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(1 < y,y < u^2-v^2+2), 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(1 < y,y < u^2-v^2+2), 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(1 < 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], [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(1 < y,y < u^2-v^2+2), 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(1 < y,y < u^2-v^2+2), (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 = x, z < 0], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1062385/4194304, -\
1062385/4194304], [-265597/1048576, -66399/262144], [-1, -1]]]], [[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
= x, z = 0], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-\
1062385/4194304, -1062385/4194304], [-265597/1048576, -66399/262144], [0, 0]]]
], [[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 = x, 0 < z], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-1062385/4194304, -1062385/4194304], [-265597/1048576, -66399/262144
], [1, 1]]]], [[1, 1, 4, 3, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -1, And
(-u^2+v^2 < y,y < -1), z = z], [regular_chain, [[-3, -3], [-5, -5], [-1, -1],
[-17/2, -17/2], [0, 0]]]], [[1, 2, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 8, 1, 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], [-1, -1], [0, 0]]]], [[1, 10, 1
, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 3, 1
, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-2 < x,x < -1), y < x, z = z], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [-3,
-3], [0, 0]]]], [[1, 15, 9, 2, 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, 8, 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, 8, 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, 8, 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, 11, 2, 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, 8, 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, 8, 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, 8, 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, 8,
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, 8, 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, 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 < 0, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [505467/1048576,
126367/262144], [-1, -1], [0, 0]]]], [[2, 19, 1, 6, 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,
6, 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, 6, 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, 6, 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, 6, 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, 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 = 0, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [2
, 2], [0, 0], [0, 0]]]], [[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 < 2*u^2-2*v^2), z < -(y-u^2+
v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-1116679/2097152, -558339/1048576], [
980473/2097152, 980473/2097152], [-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 < 2*u^2
-2*v^2), z = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1116679/2097152, -\
558339/1048576], [980473/2097152, 980473/2097152], [-4398046198147/
4398046511104, -8796092396293/8796093022208]]]], [[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 < 2*
u^2-2*v^2), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1116679/2097152, -558339/1048576], [980473/2097152, 980473
/2097152], [-7762693/17592186044416, -7762693/17592186044416]]]], [[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 < 2*u^2-2*v^2), z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
1116679/2097152, -558339/1048576], [980473/2097152, 980473/2097152], [1048575/
1048576, 1]]]], [[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 < 2*u^2-2*v^2), (y-u^2+v^2+1)^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304,
-5818805/4194304], [-1116679/2097152, -558339/1048576], [980473/2097152, 
980473/2097152], [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 = 0, z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [0, 0], [0, 0],
[-1, -1]]]], [[3, 11, 8, 2, 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, 2, 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, 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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/
4194304, -3213833/4194304], [-4194309/8388608, -4194309/8388608], [-2, -2]]]],
[[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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3213833/4194304, -3213833/4194304], [-4194309/8388608, -\
4194309/8388608], [-270523/524288, -1082091/2097152]]]], [[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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3213833/4194304, -3213833/4194304], [-4194309/8388608, -\
4194309/8388608], [-1/4194304, -1/4194304]]]], [[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(x
< y,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/4194304, -\
3213833/4194304], [-4194309/8388608, -4194309/8388608], [541045/1048576, 
270523/524288]]]], [[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(x < y,y < x-u^2+v^2+1), (y-x)
^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [-4194309/
8388608, -4194309/8388608], [2, 2]]]], [[3, 14, 1, 2, 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, 2, 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, 2, 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, 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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [898327/524288, 898327/524288], [501965/2097152,
501965/2097152], [1550541/1048576, 1550541/1048576], [-3, -3]]]], [[3, 15, 7,
7, 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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [501965/2097152, 501965/2097152], [1550541/1048576, 1550541/1048576],
[-583671/524288, -1167341/1048576]]]], [[3, 15, 7, 7, 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
(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [501965/2097152, 501965/2097152], [1550541/1048576, 1550541/1048576],
[0, 0]]]], [[3, 15, 7, 7, 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(x < y,y < u^2-v^2+x+1), z =
(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/
524288, 898327/524288], [501965/2097152, 501965/2097152], [1550541/1048576, 
1550541/1048576], [1167341/1048576, 583671/524288]]]], [[3, 15, 7, 7, 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(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [501965/
2097152, 501965/2097152], [1550541/1048576, 1550541/1048576], [3, 3]]]], [[4,
3, 10, 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, 10, 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, 10, 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, 5, 9, 1], [v =
-1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), u^2+x < y, z < -(y-x)^(1/
2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-\
3235683/4194304, -3235683/4194304], [2, 2], [-3, -3]]]], [[4, 5, 5, 9, 2], [v
= -1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), u^2+x < y, z = -(y-x)^(
1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-\
3235683/4194304, -3235683/4194304], [2, 2], [-3491269/2097152, -872817/524288]
]]], [[4, 5, 5, 9, 3], [v = -1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2
), u^2+x < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1
], [-1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304],
[2, 2], [0, 0]]]], [[4, 5, 5, 9, 4], [v = -1, And(-2^(1/2) < u,u < -1), And(-1
< x,x < u^2-2), u^2+x < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304], [2,
2], [872817/524288, 1745635/1048576]]]], [[4, 5, 5, 9, 5], [v = -1, And(-2^(1/
2) < u,u < -1), And(-1 < x,x < u^2-2), u^2+x < y, (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3235683/
4194304, -3235683/4194304], [2, 2], [3, 3]]]], [[4, 10, 1, 3, 1], [v = -1, u =
1, x < -1, And(x < y,y < x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [
1, 1], [-2, -2], [-3/2, -3/2], [-2, -2]]]], [[4, 10, 1, 3, 2], [v = -1, u = 1,
x < -1, And(x < y,y < x+1), z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [1,
1], [-2, -2], [-3/2, -3/2], [-1482911/2097152, -741455/1048576]]]], [[4, 10, 1
, 3, 3], [v = -1, u = 1, x < -1, And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[-1, -1], [1, 1], [-2, -2], [-3/2, -3/2], [0,
0]]]], [[4, 10, 1, 3, 4], [v = -1, u = 1, x < -1, And(x < y,y < x+1), z = (y-x
)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [-2, -2], [-3/2, -3/2], [741455/
1048576, 46341/65536]]]], [[4, 10, 1, 3, 5], [v = -1, u = 1, x < -1, And(x < y
,y < x+1), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [1, 1], [-2, -2], [-3/
2, -3/2], [2, 2]]]], [[4, 11, 9, 6, 1], [v = -1, And(1 < u,u < 2^(1/2)), And(0
< x,x < 1), y = x-u^2+2, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [1/2, 1/2], [1093553/1048576, 546777/524288
], [-2, -2]]]], [[4, 11, 9, 6, 2], [v = -1, And(1 < u,u < 2^(1/2)), And(0 < x,
x < 1), y = x-u^2+2, z = -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1265743
/1048576, 1265743/1048576], [1/2, 1/2], [1093553/1048576, 546777/524288], [-\
772605/1048576, -1545209/2097152]]]], [[4, 11, 9, 6, 3], [v = -1, And(1 < u,u
< 2^(1/2)), And(0 < x,x < 1), y = x-u^2+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], [1093553/1048576, 546777/524288], [-1/4194304, -1/4194304]]]], [[4, 11
, 9, 6, 4], [v = -1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), y = x-u^2+2, z
= (-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [1093553/1048576, 546777/524288], [193151/262144, 772605
/1048576]]]], [[4, 11, 9, 6, 5], [v = -1, And(1 < u,u < 2^(1/2)), And(0 < x,x
< 1), y = x-u^2+2, (-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [1/2, 1/2], [1093553/1048576, 546777/524288], [2, 2
]]]], [[5, 2, 3, 3, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-3 < x,x <
-1), And(x-1 < y,y < x), z = z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2],
[-2, -2], [-5/2, -5/2], [0, 0]]]], [[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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [243021/1048576, 243021/1048576], [2826215/1048576, 353277/
131072], [-3, -3]]]], [[5, 3, 7, 8, 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], [2826215/1048576, 353277/131072], [-\
3291611/2097152, -1645805/1048576]]]], [[5, 3, 7, 8, 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], [2826215/1048576, 353277/131072], [0, 0]]]], [[5, 3, 7, 8, 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], [2826215/
1048576, 353277/131072], [1645805/1048576, 822903/524288]]]], [[5, 3, 7, 8, 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], [
2826215/1048576, 353277/131072], [3, 3]]]], [[5, 12, 2, 3, 1], [And(-1 < v,v <
0), u = (v^2+2)^(1/2), x = -3, And(-4 < y,y < -3), z = z], [regular_chain, [[-\
1/2, -1/2], [3/2, 3/2], [-3, -3], [-7/2, -7/2], [0, 0]]]], [[5, 13, 7, 1, 1],
[And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y < x-u^2+v^2+1, z =
z], [regular_chain, [[-1/2, -1/2], [3, 3], [1/2, 1/2], [-9, -9], [0, 0]]]], [[
6, 5, 11, 7, 1], [v = 0, And(-1 < u,u < 0), 1 < x, And(x-u^2+1 < y,y < u^2+x+1
), z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [2, 2], [3, 3], [
-2, -2]]]], [[6, 5, 11, 7, 2], [v = 0, And(-1 < u,u < 0), 1 < x, And(x-u^2+1 <
y,y < u^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [2,
2], [3, 3], [-1, -1]]]], [[6, 5, 11, 7, 3], [v = 0, And(-1 < u,u < 0), 1 < x,
And(x-u^2+1 < y,y < u^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[0, 0], [-1/2, -1/2], [2, 2], [3, 3], [0, 0]]]], [[6, 5, 11, 7
, 4], [v = 0, And(-1 < u,u < 0), 1 < x, And(x-u^2+1 < y,y < u^2+x+1), z = (y-x
)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [2, 2], [3, 3], [1, 1]]]], [[
6, 5, 11, 7, 5], [v = 0, And(-1 < u,u < 0), 1 < x, And(x-u^2+1 < y,y < u^2+x+1
), (y-x)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2], [2, 2], [3, 3], [2
, 2]]]], [[6, 7, 9, 1, 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], [-1, -1], [0, 0]]]],
[[6, 11, 11, 6, 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, 6, 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, 6, 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, 3, 2, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1),
y = x-1, z = z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-2, -2], [-3, -3]
, [0, 0]]]], [[7, 8, 3, 1, 1], [And(0 < v,v < 1), u = v, And(-1 < x,x < 0), y
< x, z = z], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1/2, -1/2], [-2, -2],
[0, 0]]]], [[7, 9, 10, 7, 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, 7, 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, 7
, 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, 7, 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, 7, 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, 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+3 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2],
[3/2, 3/2], [-4, -4], [-1/2, -1/2], [-3, -3]]]], [[7, 12, 1, 7, 2], [And(0 < v
,v < 1), u = (v^2+2)^(1/2), x < -3, And(x+3 < y,y < 0), z = -(y-x)^(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, 7, 3], [And(0 < v,v < 1), u = (v^2+2)
^(1/2), x < -3, And(x+3 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [-4, -4], [-1/2, -1/2], [0, 0]]]], [[7
, 12, 1, 7, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x < -3, And(x+3 < y,y <
0), z = (y-x)^(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, 7, 5], [And(0 < v,v
< 1), u = (v^2+2)^(1/2), x < -3, And(x+3 < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [-4, -4], [-1/2, -1/2], [3, 3]]]], [[8
, 4, 6, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 5, 1], [v = 1, And(1
< u,u < 2^(1/2)), x < -u^2, And(x-u^2+2 < y,y < u^2+x), z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3, -3], [-\
8388607/4194304, -8388607/4194304], [-3, -3]]]], [[8, 11, 1, 5, 2], [v = 1, 
And(1 < u,u < 2^(1/2)), x < -u^2, And(x-u^2+2 < y,y < u^2+x), z = -(y-x)^(1/2)
], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3, -3], [-\
8388607/4194304, -8388607/4194304], [-1048577/1048576, -1]]]], [[8, 11, 1, 5,
3], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, And(x-u^2+2 < y,y < u^2+x), And(
-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [1265743/1048576,
1265743/1048576], [-3, -3], [-8388607/4194304, -8388607/4194304], [0, 0]]]], [
[8, 11, 1, 5, 4], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, And(x-u^2+2 < y,y
< u^2+x), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743
/1048576], [-3, -3], [-8388607/4194304, -8388607/4194304], [1, 1048577/1048576
]]]], [[8, 11, 1, 5, 5], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, And(x-u^2+2
< y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-3, -3], [-8388607/4194304, -8388607/4194304], [3, 3]]]], [
[8, 12, 4, 3, 1], [v = 1, u = 2^(1/2), x = -1, And(-1 < y,y < 0), z < -(y+1)^(
1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1, -1], [-\
1/2, -1/2], [-2, -2]]]], [[8, 12, 4, 3, 2], [v = 1, u = 2^(1/2), x = -1, And(-\
1 < y,y < 0), z = -(y+1)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 
1482911/1048576], [-1, -1], [-1/2, -1/2], [-1482911/2097152, -741455/1048576]]
]], [[8, 12, 4, 3, 3], [v = 1, u = 2^(1/2), x = -1, And(-1 < y,y < 0), And(-(y
+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(1/2)], [regular_chain, [[
1, 1], [741455/524288, 1482911/1048576], [-1, -1], [-1/2, -1/2], [741455/
1048576, 46341/65536]]]], [[8, 12, 4, 3, 5], [v = 1, u = 2^(1/2), x = -1, And(
-1 < y,y < 0), (y+1)^(1/2) < z], [regular_chain, [[1, 1], [741455/524288, 
1482911/1048576], [-1, -1], [-1/2, -1/2], [2, 2]]]], [[9, 2, 9, 2, 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, 2, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^
(1/2), x = -2, And(-2 < y,y < 0), z < -(y+2)^(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(-2 < y,y < 0), z = -(y+2)^(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(-2 < y,y < 0), And(-(y+2)^(1/2) < z,z < (y+2)^(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(-2 < y,y < 0), z = (y+2)^(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(-2 < y,y < 0), (y+2)^(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, x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [4, 4],
[-3, -3]]]], [[9, 12, 7, 7, 2], [And(1 < v,v < 2^(1/2)), u = v, 1 < x, x+1 < y
, z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1265743/1048576, 1265743/1048576], [2, 2], [4, 4], [-1482911/1048576, -741455/
524288]]]], [[9, 12, 7, 7, 3], [And(1 < v,v < 2^(1/2)), u = v, 1 < x, x+1 < y,
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [4, 4], [0, 0]]]
], [[9, 12, 7, 7, 4], [And(1 < v,v < 2^(1/2)), u = v, 1 < x, x+1 < y, z = (y-x
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [2, 2], [4, 4], [741455/524288, 1482911/1048576]]]]
, [[9, 12, 7, 7, 5], [And(1 < v,v < 2^(1/2)), u = v, 1 < x, x+1 < y, (y-x)^(1/
2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576
, 1265743/1048576], [2, 2], [4, 4], [3, 3]]]], [[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+2), z < -(y
-x)^(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, 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+2), z = -(y-x)^(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, 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+2), And(-(y-x)^(1/2) < z,z <
(y-x)^(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, 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+2), z = (y-x)^(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, 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+2), (y-x)^(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, 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 < 0), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [-1816187/1048576, -3632373/2097152], [-3, -3], [-1/2, -1/2], [-3, -3]]]], [
[10, 4, 1, 5, 2], [v = 2^(1/2), u = -3^(1/2), x < -2, And(x+2 < y,y < 0), z =
-(y-x)^(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, 5, 3], [v = 2^(1/2), u = -3^(1/2), x < -2, And(x+2 <
y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-3, -3], [-1/
2, -1/2], [0, 0]]]], [[10, 4, 1, 5, 4], [v = 2^(1/2), u = -3^(1/2), x < -2, 
And(x+2 < y,y < 0), z = (y-x)^(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, 5, 5], [v = 2^(1/2), u = -3^(1
/2), x < -2, And(x+2 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-3, -3], [-1/
2, -1/2], [3, 3]]]], [[10, 9, 1, 1, 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], [-6, -6], [0, 0]]]], [[10, 10, 3, 2, 1], [v = 2^(1/2),
u = 0, And(-3 < x,x < -1), y = x-1, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [-2, -2], [-3, -3], [0, 0]]]], [[10, 16, 3, 7, 1], [
v = 2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), x+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-3/2, -3/2], [2, 2], [-3, -3]]]], [[10, 16, 3, 7, 2], [v = 2^(1/2),
u = 3^(1/2), And(-2 < x,x < -1), x+2 < y, z = -(y-x)^(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, 7, 3], [v = 2^
(1/2), u = 3^(1/2), And(-2 < x,x < -1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x
)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288,
1816187/1048576], [-3/2, -3/2], [2, 2], [0, 0]]]], [[10, 16, 3, 7, 4], [v = 2^
(1/2), u = 3^(1/2), And(-2 < x,x < -1), x+2 < y, z = (y-x)^(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, 7, 5], [v = 2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), x+2 < y, (y-x)^(1/2)
< z], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 
1816187/1048576], [-3/2, -3/2], [2, 2], [3, 3]]]], [[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-u^2+3, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [388511/524288, 388511/524288], [135777/524288, 271555/1048576], [0,
0]]]], [[10, 18, 5, 5, 1], [v = 2^(1/2), u = 2, And(-1 < x,x < 0), And(x < y,y
< 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y
< 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = x, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [
7/2, 7/2], [7/2, 7/2], [-1, -1]]]], [[10, 19, 9, 6, 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, 6, 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,
5, 1, 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], [-1, -1], [0, 0]]]], [[11, 7, 11
, 6, 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], [2613723/1048576, 653431/262144], [-2, -2]]]], [[11, 7, 11,
6, 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], [2613723/1048576, 653431/262144], [-735979/1048576, -1471957
/2097152]]]], [[11, 7, 11, 6, 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], [
2613723/1048576, 653431/262144], [-1/4194304, -1/4194304]]]], [[11, 7, 11, 6,
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], [2613723/1048576, 653431/262144], [367989/524288, 735979/
1048576]]]], [[11, 7, 11, 6, 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], [2613723/1048576, 653431/262144],
[2, 2]]]], [[11, 12, 3, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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), x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [133259/524288, 
133259/524288], [4, 4], [-3, -3]]]], [[11, 13, 7, 9, 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), x-u^2+v^2+1 < y,
z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288],
[133259/524288, 133259/524288], [4, 4], [-16235433/8388608, -2029429/1048576]]
]], [[11, 13, 7, 9, 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), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [133259/
524288, 133259/524288], [4, 4], [0, 0]]]], [[11, 13, 7, 9, 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), x-u^2+v^2
+1 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [133259/524288, 133259/524288], [4, 4], [2029429/1048576, 1014715/
524288]]]], [[11, 13, 7, 9, 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), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [133259/524288, 
133259/524288], [4, 4], [3, 3]]]], [[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 = 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], [1699253/524288, 3398507/1048576
], [-3, -3]]]], [[11, 19, 9, 8, 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], [1699253/524288, 3398507/1048576], [-1655969/
1048576, -3311937/2097152]]]], [[11, 19, 9, 8, 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], [
1699253/524288, 3398507/1048576], [-1/4194304, -1/4194304]]]], [[11, 19, 9, 8,
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], [
1699253/524288, 3398507/1048576], [51749/32768, 1655969/1048576]]]], [[11, 19,
9, 8, 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], [
1699253/524288, 3398507/1048576], [3, 3]]]], [[11, 21, 2, 7, 1], [2^(1/2) < v,
(v^2+2)^(1/2) < u, x = -u^2+v^2-1, 0 < y, z < -(u^2-v^2+y+1)^(1/2)], [
regular_chain, [[3, 3], [5, 5], [-17, -17], [1, 1], [-6, -6]]]], [[11, 21, 2,
7, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -u^2+v^2-1, 0 < y, 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, 7, 3], [2^(1/2) < v, (v^2+2)^(1/2)
< u, x = -u^2+v^2-1, 0 < y, 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, 7, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -u^2+v^2-1, 0 < y, 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, 7, 5], [2^(1/2) < v, (v^2+2)^(1/2) <
u, x = -u^2+v^2-1, 0 < y, (u^2-v^2+y+1)^(1/2) < z], [regular_chain, [[3, 3], [
5, 5], [-17, -17], [1, 1], [6, 6]]]], [[1, 4, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 1, 1], [v < -2^(1/2), u = v, And(-1 < x,
x < 0), y < x, z = z], [regular_chain, [[-3, -3], [-3, -3], [-1/2, -1/2], [-2,
-2], [0, 0]]]], [[1, 12, 2, 1, 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], [-5, -5], [0, 0]]]], [[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 < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [0, 0], [657547/
262144, 2630189/1048576], [-3, -3]]]], [[1, 13, 6, 6, 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], [
657547/262144, 2630189/1048576], [-3321417/2097152, -415177/262144]]]], [[1, 
13, 6, 6, 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], [657547/
262144, 2630189/1048576], [0, 0]]]], [[1, 13, 6, 6, 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], [
657547/262144, 2630189/1048576], [415177/262144, 1660709/1048576]]]], [[1, 13,
6, 6, 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], [657547/262144, 2630189/1048576], [3, 3]]]],
[[1, 18, 1, 7, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), x < -2, 0 < y, z < -(y-x)
^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-3, -3],
[1, 1], [-3, -3]]]], [[1, 18, 1, 7, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), x <
-2, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 
3315889/1048576], [-3, -3], [1, 1], [-2, -2]]]], [[1, 18, 1, 7, 3], [v < -2^(1
/2), u = (v^2+1)^(1/2), x < -2, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-3, -3], [1, 1],
[0, 0]]]], [[1, 18, 1, 7, 4], [v < -2^(1/2), u = (v^2+1)^(1/2), x < -2, 0 < y,
z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576],
[-3, -3], [1, 1], [2, 2]]]], [[1, 18, 1, 7, 5], [v < -2^(1/2), u = (v^2+1)^(1/
2), x < -2, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [207243/65536,
3315889/1048576], [-3, -3], [1, 1], [3, 3]]]], [[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(0 < y,y < u^2-
v^2-1), z = z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576],
[129511/262144, 518045/1048576], [129511/524288, 129511/524288], [0, 0]]]], [[
2, 3, 11, 4, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, y = x-u^2+3,
z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152
, -3913339/2097152], [2, 2], [397921/262144, 1591685/1048576], [0, 0]]]], [[2,
5, 6, 7, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = u^2-3, 2*u^2-4 < y, z
< -(y-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-275385/524288, -1101539/2097152], [2, 2]
, [-3, -3]]]], [[2, 5, 6, 7, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = u
^2-3, 2*u^2-4 < y, z = -(y-u^2+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,
7, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = u^2-3, 2*u^2-4 < y, And(-(y
-u^2+3)^(1/2) < z,z < (y-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [-275385/524288, -\
1101539/2097152], [2, 2], [0, 0]]]], [[2, 5, 6, 7, 4], [v = -2^(1/2), And(-3^(
1/2) < u,u < v), x = u^2-3, 2*u^2-4 < y, z = (y-u^2+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, 7, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = u^2-3, 2*u^2-4 <
y, (y-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[-6598195/4194304, -6598195/4194304], [-275385/524288, -1101539/2097152], [2,
2], [3, 3]]]], [[2, 6, 3, 2, 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,
2, 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, 2, 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, 7, 10, 8, 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], [2666417/1048576, 1333209/524288],
[-3, -3]]]], [[2, 7, 10, 8, 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], [2666417/1048576, 
1333209/524288], [-1302471/1048576, -651235/524288]]]], [[2, 7, 10, 8, 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], [2666417/1048576, 1333209/524288],
[0, 0]]]], [[2, 7, 10, 8, 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], [2666417/1048576, 1333209/524288
], [651235/524288, 1302471/1048576]]]], [[2, 7, 10, 8, 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]
, [2666417/1048576, 1333209/524288], [3, 3]]]], [[2, 13, 8, 7, 1], [v = -2^(1/
2), And(1 < u,u < -v), x = 0, -u^2+3 < y, z < -y^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [0, 0],
[3, 3], [-3, -3]]]], [[2, 13, 8, 7, 2], [v = -2^(1/2), And(1 < u,u < -v), x =
0, -u^2+3 < y, 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, 7, 3], [v = -2^(1/2), And(1 < u,u < -v), x
= 0, -u^2+3 < y, 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, 7, 4], [v = -2^(1/2), And(1 < u,u < -
v), x = 0, -u^2+3 < y, 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, 7, 5], [v = -2^(1/2), And(1 < u,u < -
v), x = 0, -u^2+3 < y, y^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [0, 0], [3, 3], [3, 3]]]],
[[2, 15, 5, 8, 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], [186677/262144, 746709/1048576], [-3, -3]]]], [[2, 15, 5, 8,
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], [
186677/262144, 746709/1048576], [-1273381/1048576, -318345/262144]]]], [[2, 15
, 5, 8, 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], [186677/262144, 746709/1048576], [0, 0]]]]
, [[2, 15, 5, 8, 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], [186677/262144, 746709/1048576], [318345/262144, 1273381/
1048576]]]], [[2, 15, 5, 8, 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], [186677/262144, 746709/1048576], [3, 3]]]], [[2, 
19, 8, 4, 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, 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 < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [6860721/1048576, 3430361/524288], [17, 17], [-5,
-5]]]], [[3, 1, 10, 7, 2], [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 = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [6860721/1048576, 3430361/524288
], [17, 17], [-847707/262144, -3390827/1048576]]]], [[3, 1, 10, 7, 3], [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, And(-(
y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [6860721/1048576, 3430361/524288], [17,
17], [0, 0]]]], [[3, 1, 10, 7, 4], [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 = (y-u^2+v^2+1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3, -3], [6860721/1048576, 3430361/
524288], [17, 17], [3390827/1048576, 847707/262144]]]], [[3, 1, 10, 7, 5], [
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,
(y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-3, -3], [6860721/1048576, 3430361/524288], [17, 17], [5, 5]]]], [[3, 7, 
10, 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+2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [749473/524288
, 1498947/1048576], [-2, -2]]]], [[3, 7, 10, 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+2, z = -(u^2-v^2+1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1, 1], [749473/524288, 1498947/1048576], [-1374407/2097152,
-687203/1048576]]]], [[3, 7, 10, 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+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], [749473/524288, 1498947/1048576],
[0, 0]]]], [[3, 7, 10, 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+2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [1,
1], [749473/524288, 1498947/1048576], [687203/1048576, 171801/262144]]]], [[3,
7, 10, 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+2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [749473/524288
, 1498947/1048576], [2, 2]]]], [[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), x-u^2+v^2+1 < y,
z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0,
0], [-1/2, -1/2], [3, 3], [-3, -3]]]], [[3, 9, 5, 9, 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), x-u^2+v^2+1
< y, z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[0, 0], [-1/2, -1/2], [3, 3], [-7846825/4194304, -980853/524288]]]], [[3, 9, 5
, 9, 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), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1/2, -1/2], [3
, 3], [0, 0]]]], [[3, 9, 5, 9, 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), x-u^2+v^2+1 < y, z = (y-x)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1/2, -1/2]
, [3, 3], [980853/524288, 1961707/1048576]]]], [[3, 9, 5, 9, 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), x-u
^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [-1/2, -1/2], [3, 3], [3, 3]]]], [[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 < -
(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [
1/2, 1/2], [11, 11], [-5, -5]]]], [[3, 17, 7, 9, 2], [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 = -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1/2, 1/2], [11,
11], [-3397775/1048576, -1698887/524288]]]], [[3, 17, 7, 9, 3], [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, And(-(y-x)^
(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [1/2, 1/2], [11, 11], [0, 0]]]], [[3, 17, 7, 9, 4], [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 = (
y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1
/2, 1/2], [11, 11], [1698887/524288, 3397775/1048576]]]], [[3, 17, 7, 9, 5], [
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
, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3,
3], [1/2, 1/2], [11, 11], [5, 5]]]], [[4, 1, 10, 3, 1], [v = -1, u < -3^(1/2),
x = u^2-2, And(0 < y,y < u^2-2), z = z], [regular_chain, [[-1, -1], [-3, -3],
[7, 7], [7/2, 7/2], [0, 0]]]], [[4, 7, 9, 9, 1], [v = -1, And(-1 < u,u < 0), 
And(0 < x,x < 1), x-u^2+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [
-1/2, -1/2], [1/2, 1/2], [4, 4], [-3, -3]]]], [[4, 7, 9, 9, 2], [v = -1, And(-\
1 < u,u < 0), And(0 < x,x < 1), x-u^2+2 < y, z = -(y-x)^(1/2)], [regular_chain
, [[-1, -1], [-1/2, -1/2], [1/2, 1/2], [4, 4], [-7846825/4194304, -980853/
524288]]]], [[4, 7, 9, 9, 3], [v = -1, And(-1 < u,u < 0), And(0 < x,x < 1), x-
u^2+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1],
[-1/2, -1/2], [1/2, 1/2], [4, 4], [0, 0]]]], [[4, 7, 9, 9, 4], [v = -1, And(-1
< u,u < 0), And(0 < x,x < 1), x-u^2+2 < y, z = (y-x)^(1/2)], [regular_chain, [
[-1, -1], [-1/2, -1/2], [1/2, 1/2], [4, 4], [980853/524288, 1961707/1048576]]]
], [[4, 7, 9, 9, 5], [v = -1, And(-1 < u,u < 0), And(0 < x,x < 1), x-u^2+2 < y
, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [1/2, 1/2], [4, 4
], [3, 3]]]], [[4, 9, 5, 3, 1], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2
), And(x < y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1
/2], [-5/8, -5/8], [-1/2, -1/2], [-2, -2]]]], [[4, 9, 5, 3, 2], [v = -1, And(0
< u,u < 1), And(-1 < x,x < -u^2), And(x < y,y < u^2+x), z = -(y-x)^(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, 3, 3], [v = -1, And(0 < u,u < 1), And(
-1 < x,x < -u^2), And(x < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [-1/2, -1/2], [0, 0]]]]
, [[4, 9, 5, 3, 4], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), And(x < y
,y < u^2+x), z = (y-x)^(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, 3, 5], [v =
-1, And(0 < u,u < 1), And(-1 < x,x < -u^2), And(x < y,y < u^2+x), (y-x)^(1/2)
< z], [regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [-1/2, -1/2], [2, 2
]]]], [[4, 13, 11, 6, 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, 6, 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, 6, 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, 5, 2, 1], [v =
-1, 3^(1/2) < u, And(-1 < x,x < 0), y = x-u^2+2, z = z], [regular_chain, [[-1,
-1], [3, 3], [-1/2, -1/2], [-15/2, -15/2], [0, 0]]]], [[5, 5, 10, 1, 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], [-\
1, -1], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[-1/2, -1/2], [0, 0
], [-3/8, -3/8], [-3/8, -3/8], [-1, -1]]]], [[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 = x, z = 0], [
regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [-3/8, -3/8], [0, 0]]]], [
[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 = x, 0 < z], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [-3/8,
-3/8], [1, 1]]]], [[5, 8, 3, 6, 1], [And(-1 < v,v < 0), u = -v, And(-1 < x,x <
0), y = x+1, 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, 6, 2], [And(-1 < v,v < 0), u = -v, And(-1
< x,x < 0), y = x+1, 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, 6, 3], [And(-1 < v,v < 0), u = -v
, And(-1 < x,x < 0), y = x+1, 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, 6, 4], [And(-1
< v,v < 0), u = -v, And(-1 < x,x < 0), y = x+1, 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, 6, 5], [
And(-1 < v,v < 0), u = -v, And(-1 < x,x < 0), y = x+1, 1 < z], [regular_chain,
[[-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2], [1/2, 1/2], [2, 2]]]], [[5, 9, 11, 3,
1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(0 < y,y < x)
, z = z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [
2, 2], [1, 1], [0, 0]]]], [[6, 2, 4, 9, 1], [v = 0, u = -2^(1/2), x = -1, 2 <
y, z < -(y+1)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/
524288], [-1, -1], [3, 3], [-3, -3]]]], [[6, 2, 4, 9, 2], [v = 0, u = -2^(1/2)
, x = -1, 2 < y, z = -(y+1)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576
, -741455/524288], [-1, -1], [3, 3], [-2, -2]]]], [[6, 2, 4, 9, 3], [v = 0, u
= -2^(1/2), x = -1, 2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1, -1], [3, 3],
[0, 0]]]], [[6, 2, 4, 9, 4], [v = 0, u = -2^(1/2), x = -1, 2 < y, z = (y+1)^(1
/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1, -1], [
3, 3], [2, 2]]]], [[6, 2, 4, 9, 5], [v = 0, u = -2^(1/2), x = -1, 2 < y, (y+1)
^(1/2) < z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1,
-1], [3, 3], [3, 3]]]], [[6, 3, 9, 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 < -(y-x)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [1527887/2097152
, 1527887/2097152], [2052175/1048576, 2052175/1048576], [-3, -3]]]], [[6, 3, 9
, 7, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -\
1265743/1048576], [1527887/2097152, 1527887/2097152], [2052175/1048576, 
2052175/1048576], [-1162243/1048576, -581121/524288]]]], [[6, 3, 9, 7, 3], [v
= 0, And(-2^(1/2) < u,u < -1), And(u^2-1 < x,x < 1), And(x < y,y < u^2+x+1), 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [-1265743/
1048576, -1265743/1048576], [1527887/2097152, 1527887/2097152], [2052175/
1048576, 2052175/1048576], [0, 0]]]], [[6, 3, 9, 7, 4], [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 = (y-x)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [1527887/2097152
, 1527887/2097152], [2052175/1048576, 2052175/1048576], [581121/524288, 
1162243/1048576]]]], [[6, 3, 9, 7, 5], [v = 0, And(-2^(1/2) < u,u < -1), And(u
^2-1 < x,x < 1), And(x < y,y < u^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[0
, 0], [-1265743/1048576, -1265743/1048576], [1527887/2097152, 1527887/2097152]
, [2052175/1048576, 2052175/1048576], [3, 3]]]], [[6, 8, 5, 7, 1], [v = 0, u =
1, And(-1 < x,x < 0), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [1,
1], [-1/2, -1/2], [3, 3], [-3, -3]]]], [[6, 8, 5, 7, 2], [v = 0, u = 1, And(-1
< x,x < 0), x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-1/2
, -1/2], [3, 3], [-7846825/4194304, -980853/524288]]]], [[6, 8, 5, 7, 3], [v =
0, u = 1, And(-1 < x,x < 0), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[0, 0], [1, 1], [-1/2, -1/2], [3, 3], [0, 0]]]], [[6, 8, 5, 7
, 4], [v = 0, u = 1, And(-1 < x,x < 0), x+2 < y, z = (y-x)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-1/2, -1/2], [3, 3], [980853/524288, 1961707/
1048576]]]], [[6, 8, 5, 7, 5], [v = 0, u = 1, And(-1 < x,x < 0), x+2 < y, (y-x
)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [-1/2, -1/2], [3, 3], [3, 3]]]]
, [[6, 9, 11, 4, 1], [v = 0, And(1 < u,u < 2^(1/2)), 1 < x, y = x-u^2+1, z = z
], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [2, 2], [
1617841/1048576, 808921/524288], [0, 0]]]], [[7, 4, 3, 7, 1], [And(0 < v,v < 1
), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3/2, -3/2],
[2, 2], [-3, -3]]]], [[7, 4, 3, 7, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2),
And(-2 < x,x < -1), x+2 < y, z = -(y-x)^(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, 7, 3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), 
And(-2 < x,x < -1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3/2, -3/2],
[2, 2], [0, 0]]]], [[7, 4, 3, 7, 4], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), 
And(-2 < x,x < -1), x+2 < y, z = (y-x)^(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, 7, 5], [And(0 < v,v < 1), u = -(v^2+1)^(1/2),
And(-2 < x,x < -1), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-\
146543/131072, -1172343/1048576], [-3/2, -3/2], [2, 2], [3, 3]]]], [[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
= 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], [1997021/1048576, 998511/524288], [-3
, -3]]]], [[7, 5, 9, 8, 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], [1997021/1048576,
998511/524288], [-19417/16384, -1242687/1048576]]]], [[7, 5, 9, 8, 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], [1997021/1048576, 998511/
524288], [0, 0]]]], [[7, 5, 9, 8, 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],
[1997021/1048576, 998511/524288], [1242687/1048576, 19417/16384]]]], [[7, 5, 9
, 8, 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], [1997021/1048576, 998511/
524288], [3, 3]]]], [[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(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1
< y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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+2), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-1/2,
-1/2], [3/4, 3/4], [-3, -3]]]], [[8, 8, 5, 5, 2], [v = 1, u = 0, And(-1 < x,x
< 0), And(0 < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [0, 0],
[-1/2, -1/2], [3/4, 3/4], [-146543/131072, -1172343/1048576]]]], [[8, 8, 5, 5,
3], [v = 1, u = 0, And(-1 < x,x < 0), And(0 < y,y < x+2), And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [3/4, 3/4],
[0, 0]]]], [[8, 8, 5, 5, 4], [v = 1, u = 0, And(-1 < x,x < 0), And(0 < y,y < x
+2), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [3/4, 3/
4], [1172343/1048576, 146543/131072]]]], [[8, 8, 5, 5, 5], [v = 1, u = 0, And(
-1 < x,x < 0), And(0 < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[1, 1],
[0, 0], [-1/2, -1/2], [3/4, 3/4], [3, 3]]]], [[8, 9, 10, 7, 1], [v = 1, And(0
< u,u < 1), x = 1, And(u^2+1 < y,y < -u^2+3), z < -(y-1)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [2, 2], [-2, -2]]]], [[8, 9, 10, 7
, 2], [v = 1, And(0 < u,u < 1), x = 1, And(u^2+1 < y,y < -u^2+3), z = -(y-1)^(
1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [2, 2], [-1, -1]]]], [[8,
9, 10, 7, 3], [v = 1, And(0 < 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], [1/2, 1/2], [1, 1
], [2, 2], [0, 0]]]], [[8, 9, 10, 7, 4], [v = 1, And(0 < u,u < 1), x = 1, And(
u^2+1 < y,y < -u^2+3), z = (y-1)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2],
[1, 1], [2, 2], [1, 1]]]], [[8, 9, 10, 7, 5], [v = 1, And(0 < u,u < 1), x = 1,
And(u^2+1 < y,y < -u^2+3), (y-1)^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/
2], [1, 1], [2, 2], [2, 2]]]], [[8, 14, 6, 1, 1], [v = 1, u = 3^(1/2), x = 0,
y < -1, z = z], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [0,
0], [-2, -2], [0, 0]]]], [[8, 15, 10, 2, 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, 1, 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], [-1, -1], [0, 0]]]], [[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-u^2+v^2+
1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [-4, -4], [-3235683/2097152, -1617841/1048576], [-3, -3]]]],
[[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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-4, -4], [-\
3235683/2097152, -1617841/1048576], [-410915/262144, -3287319/2097152]]]], [[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-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], [-4,
-4], [-3235683/2097152, -1617841/1048576], [-1/4194304, -1/4194304]]]], [[9, 9
, 1, 6, 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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [-4, -4], [-3235683/2097152, -\
1617841/1048576], [1643659/1048576, 410915/262144]]]], [[9, 9, 1, 6, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [-4, -4], [-3235683/2097152, -1617841/1048576], [3,
3]]]], [[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 = 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, 6, 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, 6, 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, 6, 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, 6, 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, 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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [7909297/
2097152, 7909297/2097152], [8433585/1048576, 8433585/1048576], [-4, -4]]]], [[
9, 17, 9, 7, 2], [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 < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [7909297/2097152, 7909297/2097152],
[8433585/1048576, 8433585/1048576], [-2167143/1048576, -1083571/524288]]]], [[
9, 17, 9, 7, 3], [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 < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [7909297/2097152,
7909297/2097152], [8433585/1048576, 8433585/1048576], [0, 0]]]], [[9, 17, 9, 7
, 4], [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 < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [7909297/2097152, 7909297/2097152], [
8433585/1048576, 8433585/1048576], [1083571/524288, 2167143/1048576]]]], [[9,
17, 9, 7, 5], [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 < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [7909297/2097152, 7909297/2097152], [
8433585/1048576, 8433585/1048576], [4, 4]]]], [[10, 5, 1, 7, 1], [v = 2^(1/2),
And(-3^(1/2) < u,u < -v), x < -u^2+1, And(u^2+x-1 < y,y < 0), z < -(y-x)^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [-3, -3], [-3198691/4194304, -3198691/4194304], [-3, -3]]]],
[[10, 5, 1, 7, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x < -u^2+1, And(u^2
+x-1 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [-3, -3], [-3198691/4194304, -\
3198691/4194304], [-1568445/1048576, -392111/262144]]]], [[10, 5, 1, 7, 3], [v
= 2^(1/2), And(-3^(1/2) < u,u < -v), x < -u^2+1, And(u^2+x-1 < y,y < 0), And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [-3, -3], [-3198691/4194304, -\
3198691/4194304], [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-1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-3
, -3], [-3198691/4194304, -3198691/4194304], [392111/262144, 1568445/1048576]]
]], [[10, 5, 1, 7, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x < -u^2+1, And
(u^2+x-1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-3, -3], [-3198691/
4194304, -3198691/4194304], [3, 3]]]], [[10, 6, 4, 5, 1], [v = 2^(1/2), u = -v
, x = 0, 1 < y, z < -y^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [0, 0], [2, 2], [-3, -3]]]], [[
10, 6, 4, 5, 2], [v = 2^(1/2), u = -v, x = 0, 1 < y, 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, 5,
3], [v = 2^(1/2), u = -v, x = 0, 1 < y, 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, 5, 4], [v = 2^(1/2), u = -v, x
= 0, 1 < y, 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, 5, 5], [v = 2^(1/2), u = -v, x = 0, 1 < y, y^(1/2) <
z], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -\
741455/524288], [0, 0], [2, 2], [3, 3]]]], [[10, 12, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 10, 1, 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], [-1, -1]
, [0, 0]]]], [[11, 2, 8, 3, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 1, And(0
< y,y < 1), z = z], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [1, 1], [1/2, 1/2], [0, 0]]]], [[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-1 < y,y < x)
, z = z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-2,
-2], [-5/2, -5/2], [0, 0]]]], [[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 = 0, z = z], [regular_chain,
[[3, 3], [0, 0], [1/2, 1/2], [0, 0], [0, 0]]]], [[11, 15, 10, 6, 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], [
1565147/1048576, 391287/262144], [-2, -2]]]], [[11, 15, 10, 6, 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], [
1565147/1048576, 391287/262144], [-735979/1048576, -1471957/2097152]]]], [[11,
15, 10, 6, 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], [1565147/1048576, 391287/262144]
, [-1/4194304, -1/4194304]]]], [[11, 15, 10, 6, 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], [1565147/1048576, 
391287/262144], [367989/524288, 735979/1048576]]]], [[11, 15, 10, 6, 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], [
1565147/1048576, 391287/262144], [2, 2]]]], [[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(x < y,y < 0), z <
-(y-x)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-\
1062385/4194304, -1062385/4194304], [-66399/524288, -66399/524288], [-2, -2]]]
], [[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(x < y,y < 0), z = -(y-x)^(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, 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(x
< y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-1062385/4194304, -1062385/4194304], [-66399/
524288, -66399/524288], [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(x < y,y < 0), z = (y-x)^(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, 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(x < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1062385/4194304, -\
1062385/4194304], [-66399/524288, -66399/524288], [2, 2]]]], [[1, 1, 5, 2, 1],
[v < -2^(1/2), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = x-u^2+v^2+1, z = z],
[regular_chain, [[-3, -3], [-5, -5], [-1/2, -1/2], [-31/2, -31/2], [0, 0]]]],
[[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 < 0), 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, 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^2-1 < y,y < 0), 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, 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^2-1 < 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], [-3396811/1048576, -3396811/
1048576], [-2615197/1048576, -653799/262144], [-653799/524288, -653799/524288]
, [0, 0]]]], [[1, 3, 2, 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^2-1 < y,y < 0), 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, 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^2-1 < y,y < 0), (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, 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 = z], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [-657547/262144, -5260375/2097152], [-395403/
131072, -3163223/1048576], [0, 0]]]], [[1, 10, 8, 5, 1], [v < -2^(1/2), u = -(
v^2-2)^(1/2), x = 1, And(1 < y,y < 4), z < -(y-1)^(1/2)], [regular_chain, [[-3
, -3], [-5548543/2097152, -2774271/1048576], [1, 1], [5/2, 5/2], [-3, -3]]]],
[[1, 10, 8, 5, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 1, And(1 < y,y < 4),
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, 5, 3], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 4], [v < -2^(
1/2), u = -(v^2-2)^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 5], [v < -2^(1/2), u
= -(v^2-2)^(1/2), x = 1, And(1 < y,y < 4), (y-1)^(1/2) < z], [regular_chain, [
[-3, -3], [-5548543/2097152, -2774271/1048576], [1, 1], [5/2, 5/2], [3, 3]]]],
[[1, 14, 4, 2, 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, 2, 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, 2, 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, 3, 1], [v < -2^(1/2), u =
-v, And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(1/2)],
[regular_chain, [[-3, -3], [3, 3], [-1/2, -1/2], [-1/4, -1/4], [-1/2, -1/2]]]]
, [[1, 16, 3, 3, 3], [v < -2^(1/2), u = -v, And(-1 < x,x < 0), And(x < y,y < 0
), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [3, 3],
[-1/2, -1/2], [-1/4, -1/4], [0, 0]]]], [[1, 16, 3, 3, 4], [v < -2^(1/2), u = -
v, And(-1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-3
, -3], [3, 3], [-1/2, -1/2], [-1/4, -1/4], [1/2, 1/2]]]], [[1, 16, 3, 3, 5], [
v < -2^(1/2), u = -v, And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(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-u^2+v^2+
1 < y,y < x), 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 = 3, z < -3^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [0, 0], [
3, 3], [-3, -3]]]], [[2, 2, 6, 6, 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, 6, 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, 6, 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, 6, 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, 2, 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, 3, 7, 1], [v = -2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), And(0 <
y,y < x-u^2+3), z < -(y-x)^(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, 7
, 2], [v = -2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), And(0 < y,y < x-
u^2+3), z = -(y-x)^(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, 7, 3], [v = -2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1),
And(0 < y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 4], [v = -2^(1/2), And(0 < u,u
< 1), And(u^2-3 < x,x < -1), And(0 < y,y < x-u^2+3), z = (y-x)^(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, 7, 5], [v = -2^
(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), And(0 < y,y < x-u^2+3), (y-x)^
(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, 3, 4, 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], [-3651195/2097152, -3651195/2097152], [-1,
-1]]]], [[2, 17, 3, 4, 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], [-\
3651195/2097152, -3651195/2097152], [0, 0]]]], [[2, 17, 3, 4, 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], [-3651195/2097152, -3651195/
2097152], [1, 1]]]], [[2, 18, 9, 7, 1], [v = -2^(1/2), u = 2, 1 < x, And(x < y
,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [2, 2], [2, 2], [7/2, 7/2], [-3, -3]]]], [[2, 18, 9, 7, 2], [v = -2^(
1/2), u = 2, 1 < x, And(x < y,y < x+3), z = -(y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [2, 2], [7/2, 7/2], [-1284239/
1048576, -642119/524288]]]], [[2, 18, 9, 7, 3], [v = -2^(1/2), u = 2, 1 < x, 
And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
-1482911/1048576, -741455/524288], [2, 2], [2, 2], [7/2, 7/2], [0, 0]]]], [[2,
18, 9, 7, 4], [v = -2^(1/2), u = 2, 1 < x, And(x < y,y < x+3), z = (y-x)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [2, 2], [7/2,
7/2], [642119/524288, 1284239/1048576]]]], [[2, 18, 9, 7, 5], [v = -2^(1/2), u
= 2, 1 < x, And(x < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [2, 2], [2, 2], [7/2, 7/2], [3, 3]]]], [[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(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y
+1)^(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 = 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], [122559/524288, 245119/1048576], [-3, -3]]]],
[[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 = 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], [122559/524288, 245119/
1048576], [-1270261/1048576, -317565/262144]]]], [[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 =
u^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], [122559/524288, 245119/
1048576], [0, 0]]]], [[3, 5, 3, 8, 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], [122559/524288,
245119/1048576], [317565/262144, 1270261/1048576]]]], [[3, 5, 3, 8, 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], [122559/524288, 245119/1048576], [3, 3]]]], [[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(u^2-v^2+x+1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-\
5390713/4194304, -5390713/4194304], [-3589227/8388608, -3589227/8388608], [-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(u^2-v^2+x+1 < y,y < 0), z = -(y-x)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [-5390713/4194304, -5390713/4194304], [-3589227/8388608, -\
3589227/8388608], [-7767403/8388608, -3883701/4194304]]]], [[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(u^2-v^2+x+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-5390713/4194304, -5390713/4194304], [-3589227/8388608, -3589227/
8388608], [-1/8388608, -1/8388608]]]], [[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(u^2-v^2+x
+1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-5390713/4194304, -5390713/
4194304], [-3589227/8388608, -3589227/8388608], [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(u^2-v^2+x+1 < y,y < 0), (y-x)^(1/2) < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341
/1048576], [-5390713/4194304, -5390713/4194304], [-3589227/8388608, -3589227/
8388608], [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 = -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], [-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 = -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], [-765155/1048576, -1530309/2097152]]]], [[3, 13, 4,
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, 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], [-1/4194304, -1/4194304]]]], [[3, 13
, 4, 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, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [-122559/
262144, -490235/1048576], [382577/524288, 765155/1048576]]]], [[3, 13, 4, 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, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [-122559/262144, -\
490235/1048576], [2, 2]]]], [[3, 14, 2, 3, 1], [And(-2^(1/2) < v,v < -1), u =
(v^2+1)^(1/2), x = -2, And(-2 < y,y < 0), z < -(y+2)^(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(-2 < y,y < 0), z = -(y+2)^(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(-2 < y,y < 0), And(-(y+2)^(1/2) < z,z < (y+2)^(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(-2 < y,y < 0), z = (y+2)^(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(-2 < y,y < 0), (y+2)^(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, z < 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-4, -4],
[-4, -4], [-1, -1]]]], [[3, 16, 1, 4, 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, 4, 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, 2, 5, 1], [v = -1, u
= -2^(1/2), x = -2, 0 < y, z < -(y+2)^(1/2)], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [-2, -2], [1, 1], [-3, -3]]]], [[4, 4, 2, 5,
2], [v = -1, u = -2^(1/2), x = -2, 0 < y, z = -(y+2)^(1/2)], [regular_chain, [
[-1, -1], [-1482911/1048576, -741455/524288], [-2, -2], [1, 1], [-1816187/
1048576, -3632373/2097152]]]], [[4, 4, 2, 5, 3], [v = -1, u = -2^(1/2), x = -2
, 0 < y, And(-(y+2)^(1/2) < z,z < (y+2)^(1/2))], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [-2, -2], [1, 1], [-1/4194304, -1/4194304]]]
], [[4, 4, 2, 5, 4], [v = -1, u = -2^(1/2), x = -2, 0 < y, z = (y+2)^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-2, -2], [1, 1]
, [908093/524288, 1816187/1048576]]]], [[4, 4, 2, 5, 5], [v = -1, u = -2^(1/2)
, x = -2, 0 < y, (y+2)^(1/2) < z], [regular_chain, [[-1, -1], [-1482911/
1048576, -741455/524288], [-2, -2], [1, 1], [3, 3]]]], [[4, 6, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 2, 4, 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, 4
, 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, 4, 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, 4, 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, 4,
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, 7, 1], [v = -1, u = 2^(1/2), And(-2 <
x,x < -1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [741455/
524288, 1482911/1048576], [-3/2, -3/2], [2, 2], [-3, -3]]]], [[4, 12, 3, 7, 2]
, [v = -1, u = 2^(1/2), And(-2 < x,x < -1), x+2 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [2,
2], [-7846825/4194304, -980853/524288]]]], [[4, 12, 3, 7, 3], [v = -1, u = 2^(
1/2), And(-2 < x,x < -1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [2,
2], [0, 0]]]], [[4, 12, 3, 7, 4], [v = -1, u = 2^(1/2), And(-2 < x,x < -1), x+
2 < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [-3/2, -3/2], [2, 2], [980853/524288, 1961707/1048576]]]], [[4, 12,
3, 7, 5], [v = -1, u = 2^(1/2), And(-2 < x,x < -1), x+2 < y, (y-x)^(1/2) < z],
[regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [2,
2], [3, 3]]]], [[5, 2, 5, 9, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-\
1 < x,x < 0), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2
, -3/2], [-1/2, -1/2], [4, 4], [-4, -4]]]], [[5, 2, 5, 9, 2], [And(-1 < v,v <
0), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), x+3 < y, z = -(y-x)^(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, 9, 3], [And(-1 < v,v < 0), u = -(v^2+
2)^(1/2), And(-1 < x,x < 0), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1/2, -1/2], [4, 4], [0, 0]]]],
[[5, 2, 5, 9, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), x
+3 < y, z = (y-x)^(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, 9, 5], [And(-1
< v,v < 0), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), x+3 < y, (y-x)^(1/2) < z],
[regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1/2, -1/2], [4, 4], [4, 4]]]],
[[5, 4, 4, 2, 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, 2, 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, 2, 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,
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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [0, 0], [1291597/524288, 2583195/1048576], [-3,
-3]]]], [[5, 11, 6, 6, 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], [1291597/524288, 2583195/
1048576], [-3291611/2097152, -1645805/1048576]]]], [[5, 11, 6, 6, 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], [1291597/524288, 2583195/1048576]
, [0, 0]]]], [[5, 11, 6, 6, 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], [1291597/524288, 
2583195/1048576], [1645805/1048576, 822903/524288]]]], [[5, 11, 6, 6, 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], [1291597/524288, 2583195/1048576], [3, 3]]]], [[5, 13,
4, 2, 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, 7, 1, 1], [v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), y < x, z = z]
, [regular_chain, [[0, 0], [-1/2, -1/2], [-3/8, -3/8], [-2, -2], [0, 0]]]], [[
6, 7, 7, 9, 1], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x < 0), u^2+x+1 < y, z
< -(y-x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [2, 2], [-\
3, -3]]]], [[6, 7, 7, 9, 2], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x < 0), u
^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/
8], [2, 2], [-3231929/2097152, -403991/262144]]]], [[6, 7, 7, 9, 3], [v = 0, 
And(0 < u,u < 1), And(u^2-1 < x,x < 0), u^2+x+1 < y, And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [2, 2], [0,
0]]]], [[6, 7, 7, 9, 4], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x < 0), u^2+x
+1 < y, z = (y-x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [
2, 2], [403991/262144, 1615965/1048576]]]], [[6, 7, 7, 9, 5], [v = 0, And(0 <
u,u < 1), And(u^2-1 < x,x < 0), u^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain,
[[0, 0], [1/2, 1/2], [-3/8, -3/8], [2, 2], [3, 3]]]], [[6, 11, 4, 9, 1], [v =
0, 2^(1/2) < u, x = -1, u^2 < y, z < -(y+1)^(1/2)], [regular_chain, [[0, 0], [
3, 3], [-1, -1], [10, 10], [-5, -5]]]], [[6, 11, 4, 9, 2], [v = 0, 2^(1/2) < u
, x = -1, u^2 < y, z = -(y+1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-1, -1
], [10, 10], [-1738867/524288, -3477733/1048576]]]], [[6, 11, 4, 9, 3], [v = 0
, 2^(1/2) < u, x = -1, u^2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[0, 0], [3, 3], [-1, -1], [10, 10], [0, 0]]]], [[6, 11, 4, 9,
4], [v = 0, 2^(1/2) < u, x = -1, u^2 < y, z = (y+1)^(1/2)], [regular_chain, [[
0, 0], [3, 3], [-1, -1], [10, 10], [3477733/1048576, 1738867/524288]]]], [[6,
11, 4, 9, 5], [v = 0, 2^(1/2) < u, x = -1, u^2 < y, (y+1)^(1/2) < z], [
regular_chain, [[0, 0], [3, 3], [-1, -1], [10, 10], [5, 5]]]], [[7, 1, 11, 3,
1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, And(0 < y,y < x-u^2+
v^2+1), z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [9, 9], [5/8, 5/8], [0,
0]]]], [[7, 7, 8, 7, 1], [And(0 < v,v < 1), And(-v < u,u < v), x = 0, -u^2+v^2
+1 < y, z < -y^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [0, 0], [3, 3], [-\
3, -3]]]], [[7, 7, 8, 7, 2], [And(0 < v,v < 1), And(-v < u,u < v), x = 0, -u^2
+v^2+1 < y, z = -y^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [0, 0], [3, 3]
, [-1816187/1048576, -3632373/2097152]]]], [[7, 7, 8, 7, 3], [And(0 < v,v < 1)
, And(-v < u,u < v), x = 0, -u^2+v^2+1 < y, 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, 7, 4], [And(0 < v,v < 1), And(-v < u,u < v), x = 0, -u^2+v^2+1 <
y, z = y^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [0, 0], [3, 3], [908093/
524288, 1816187/1048576]]]], [[7, 7, 8, 7, 5], [And(0 < v,v < 1), And(-v < u,u
< v), x = 0, -u^2+v^2+1 < y, y^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0]
, [0, 0], [3, 3], [3, 3]]]], [[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 = 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], [
1997021/1048576, 998511/524288], [-3, -3]]]], [[7, 9, 9, 8, 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], [1997021/1048576, 998511/524288], [-19417/16384, -1242687/
1048576]]]], [[7, 9, 9, 8, 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], [1997021/1048576, 998511/524288], [0, 0]]]], [[7, 9, 9, 8, 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], [1997021/1048576, 998511/524288], [1242687/1048576, 
19417/16384]]]], [[7, 9, 9, 8, 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], [
1997021/1048576, 998511/524288], [3, 3]]]], [[7, 10, 9, 5, 1], [And(0 < v,v <
1), u = (v^2+1)^(1/2), 1 < x, And(x < y,y < x+2), z < -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [2, 2], [3, 3],
[-2, -2]]]], [[7, 10, 9, 5, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), 1 < x, 
And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/
1048576, 146543/131072], [2, 2], [3, 3], [-1, -1]]]], [[7, 10, 9, 5, 3], [And(
0 < v,v < 1), u = (v^2+1)^(1/2), 1 < x, And(x < y,y < x+2), And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/
131072], [2, 2], [3, 3], [0, 0]]]], [[7, 10, 9, 5, 4], [And(0 < v,v < 1), u =
(v^2+1)^(1/2), 1 < x, And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[
1/2, 1/2], [1172343/1048576, 146543/131072], [2, 2], [3, 3], [1, 1]]]], [[7, 
10, 9, 5, 5], [And(0 < v,v < 1), u = (v^2+1)^(1/2), 1 < x, And(x < y,y < x+2),
(y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072
], [2, 2], [3, 3], [2, 2]]]], [[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 = x, z <
0], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3, -3], [
-3, -3], [-1, -1]]]], [[8, 5, 1, 2, 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, 2, 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, 7, 1, 6, 1], [
v = 1, And(-1 < u,u < 0), x < u^2-2, y = x-u^2+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, 6, 2], [v = 1, And(-1 < u,u < 0), x < u^2-2, y = x-u^2+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, 6, 3], [v = 1, And(-1 < u,u < 0),
x < u^2-2, y = x-u^2+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, 6, 4], [v = 1, And(-1 < u,u < 0), x < u^2-2, y = x-u^2+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, 6, 5], [v = 1, And(-1 < u,u < 0), x < u^2
-2, y = x-u^2+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, 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], [-\
1917243/2097152, -7668971/8388608], [-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], [-1917243/2097152, -7668971/8388608], [-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], [-1917243/2097152, -7668971/8388608], [-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], [-1917243/2097152, -7668971/8388608], [
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], [-\
1917243/2097152, -7668971/8388608], [2, 2]]]], [[8, 13, 1, 3, 1], [v = 1, And(
2^(1/2) < u,u < 3^(1/2)), x < -u^2, And(x-u^2+2 < y,y < x), z = z], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-4, -4], [-\
8886413/2097152, -8886413/2097152], [0, 0]]]], [[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 < x-u^2+v^2+1, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-3647693/2097152, -3647693/
2097152], [-4, -4], [0, 0]]]], [[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 < 0), z < -(
y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-3, -3], [-1606915/2097152, -1606915/2097152], [-\
3, -3]]]], [[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 < 0), z = -(y-x)^(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, 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 < 0), And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [-1606915/2097152, -\
1606915/2097152], [0, 0]]]], [[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 < 0), z = (y-x
)^(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, 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 < 0), (y
-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805
/4194304, -5818805/4194304], [-3, -3], [-1606915/2097152, -1606915/2097152], [
3, 3]]]], [[9, 11, 10, 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+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], [2, 2], [-2, -2]]]], [[9, 11, 10, 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+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], [2, 2], [-1, -1]]]], [[9, 11, 10, 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+
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],
[2, 2], [0, 0]]]], [[9, 11, 10, 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+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], [2, 2], [1, 1]]]], [[9, 11, 10, 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+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], [2, 2], [2, 2]]]], [[9, 13, 11, 2, 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, 7, 1], [v = 2^(1/2), u = -2,
And(-3 < x,x < -1), And(0 < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-2, -2], [-2, -2], [1/2, 1/2], [-3, -3]]]],
[[10, 2, 3, 7, 2], [v = 2^(1/2), u = -2, And(-3 < x,x < -1), And(0 < y,y < x+3
), z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2,
-2], [-2, -2], [1/2, 1/2], [-3315889/2097152, -207243/131072]]]], [[10, 2, 3,
7, 3], [v = 2^(1/2), u = -2, And(-3 < x,x < -1), And(0 < y,y < x+3), And(-(y-x
)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [-2, -2], [1/2, 1/2], [0, 0]]]], [[10, 2, 3, 7, 4], [v = 2
^(1/2), u = -2, And(-3 < x,x < -1), And(0 < y,y < x+3), z = (y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-2, -2], [1/2, 1/
2], [207243/131072, 1657945/1048576]]]], [[10, 2, 3, 7, 5], [v = 2^(1/2), u =
-2, And(-3 < x,x < -1), And(0 < y,y < x+3), (y-x)^(1/2) < z], [regular_chain,
[[741455/524288, 1482911/1048576], [-2, -2], [-2, -2], [1/2, 1/2], [3, 3]]]],
[[10, 3, 11, 6, 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, 6, 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, 6, 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, 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(0 < y,y < u^2+x-1), z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [2, 2], [5/8, 5/8], [0, 0]]]], [[10, 15, 9, 6,
1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(0 < x,x < 1), y = x-u^2+3, z < -
(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [1/2, 1/2], [537529/524288, 1075059/1048576], [-2,
-2]]]], [[10, 15, 9, 6, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(0 < x,x
< 1), y = x-u^2+3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [1/2, 1/2], [537529/
524288, 1075059/1048576], [-1519901/2097152, -379975/524288]]]], [[10, 15, 9,
6, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(0 < x,x < 1), y = x-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], [1/2, 1/2], [537529/
524288, 1075059/1048576], [0, 0]]]], [[10, 15, 9, 6, 4], [v = 2^(1/2), And(v <
u,u < 3^(1/2)), And(0 < x,x < 1), y = x-u^2+3, z = (-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [1/2, 1/2], [537529/524288, 1075059/1048576], [379975/524288, 759951
/1048576]]]], [[10, 15, 9, 6, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(0
< x,x < 1), y = x-u^2+3, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288,
1482911/1048576], [3299097/2097152, 3299097/2097152], [1/2, 1/2], [537529/
524288, 1075059/1048576], [2, 2]]]], [[10, 17, 8, 3, 1], [v = 2^(1/2), And(3^(
1/2) < u,u < 2), x = u^2-3, And(0 < y,y < u^2-3), 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, 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(x < y,y <
0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z =
(y-x)^(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(x < y,y < 0), (y-x)^(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], [-5258313/2097152, -657289/262144], [-2, -2]]]],
[[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], [-5258313/2097152, -657289/262144], [-\
735979/1048576, -1471957/2097152]]]], [[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], [-5258313/2097152, -657289/262144], [-1/4194304, -\
1/4194304]]]], [[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], [-5258313/2097152, -657289
/262144], [367989/524288, 735979/1048576]]]], [[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], [-5258313/2097152, -657289/262144], [2, 2]]]], [[11, 8, 9, 1, 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], [-1, -1], [0, 0]]]], [[11, 12, 4,
7, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -1, And(0 < y,y < 2), z < -(y+1)^(
1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1, -1], [1, 1
], [-3, -3]]]], [[11, 12, 4, 7, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -1, 
And(0 < y,y < 2), z = -(y+1)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576
, 10837/4096], [-1, -1], [1, 1], [-1482911/1048576, -741455/524288]]]], [[11,
12, 4, 7, 3], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -1, And(0 < y,y < 2), And(-
(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[3, 3], [2774271/1048576,
10837/4096], [-1, -1], [1, 1], [0, 0]]]], [[11, 12, 4, 7, 4], [2^(1/2) < v, u
= (v^2-2)^(1/2), x = -1, And(0 < y,y < 2), z = (y+1)^(1/2)], [regular_chain, [
[3, 3], [2774271/1048576, 10837/4096], [-1, -1], [1, 1], [741455/524288, 
1482911/1048576]]]], [[11, 12, 4, 7, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), x =
-1, And(0 < y,y < 2), (y+1)^(1/2) < z], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [-1, -1], [1, 1], [3, 3]]]], [[11, 14, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), x < -3, And(x <
y,y < x+3), z < -(y-x)^(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 < y,y < x+3), z = -(y-x)^(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 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^
(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 < y,y < x+3), z = (y-x)^(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 < y,y < x+3), (y-x)^(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 = 0, z = z], [
regular_chain, [[3, 3], [5, 5], [8, 8], [0, 0], [0, 0]]]], [[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-u^2+v^
2+1, z = z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576],
[2, 2], [1579107/1048576, 394777/262144], [0, 0]]]], [[1, 5, 10, 7, 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, 7, 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, 7, 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, 7, 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, 7, 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, 8,
4, 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, 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(0 < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -\
3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [526475/524288, 526475/
524288], [-3, -3]]]], [[1, 13, 5, 7, 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-u^2+v^2+1), z = -(y-x)^
(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, 7, 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-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1/2, -1/2]
, [526475/524288, 526475/524288], [0, 0]]]], [[1, 13, 5, 7, 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-u
^2+v^2+1), z = (y-x)^(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, 7, 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-u^2+v^2+1), (y-x)^(1/2) <
z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1/2, -1/2],
[526475/524288, 526475/524288], [3, 3]]]], [[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 < u^2-v^2-1, z = z], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-531193/1048576, -\
1062385/2097152], [-2, -2], [0, 0]]]], [[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 = x, z < 0], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [-\
1/2, -1/2], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-3,
-3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [-1/2, -1/2], [0, 0]]]]
, [[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 = x, 0 < z], [regular_chain, [[-3, -3], [3396811/1048576,
3396811/1048576], [-1/2, -1/2], [-1/2, -1/2], [1, 1]]]], [[2, 3, 6, 5, 1], [v
= -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0, And(0 < y,y < u^2-1), 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, 5, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0, And(0 < y,y < u
^2-1), 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, 5, 3], [v = -2^(1/2), And(-2 <
u,u < -3^(1/2)), x = 0, And(0 < y,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], [2602619/2097152, 2602619/2097152], [0, 0]]]], [[2,
3, 6, 5, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0, And(0 < y,y < u^2
-1), 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, 5, 5], [v = -2^(1/2), And(-2 < u
,u < -3^(1/2)), x = 0, And(0 < y,y < u^2-1), 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, 8, 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], [746709/1048576, 
373355/524288], [-3, -3]]]], [[2, 5, 5, 8, 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], [746709/1048576, 373355/
524288], [-636691/524288, -1273381/1048576]]]], [[2, 5, 5, 8, 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], [746709/1048576, 373355/524288], [0, 0]]]], [[2, 5, 5, 8, 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], [746709/
1048576, 373355/524288], [1273381/1048576, 636691/524288]]]], [[2, 5, 5, 8, 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], [
746709/1048576, 373355/524288], [3, 3]]]], [[2, 6, 4, 3, 1], [v = -2^(1/2), u
= v, x = 0, And(0 < y,y < 1), 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(0 < y,y <
1), 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(0 < y,y
< 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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 = u^2+x-1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [2, 2], [1288231/524288, 2576463/
1048576], [-2, -2]]]], [[2, 13, 11, 6, 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], [1288231/524288, 
2576463/1048576], [-1417877/2097152, -354469/524288]]]], [[2, 13, 11, 6, 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], [1288231/524288, 2576463/1048576],
[0, 0]]]], [[2, 13, 11, 6, 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], [1288231/524288, 2576463/1048576
], [354469/524288, 708939/1048576]]]], [[2, 13, 11, 6, 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],
[1288231/524288, 2576463/1048576], [2, 2]]]], [[2, 16, 1, 5, 1], [v = -2^(1/2)
, u = 3^(1/2), x < -2, And(x+2 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-3, -3
], [-1/2, -1/2], [-3, -3]]]], [[2, 16, 1, 5, 2], [v = -2^(1/2), u = 3^(1/2), x
< -2, And(x+2 < y,y < 0), z = -(y-x)^(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, 5, 3], [v = -2^(1/2),
u = 3^(1/2), x < -2, And(x+2 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 
1816187/1048576], [-3, -3], [-1/2, -1/2], [0, 0]]]], [[2, 16, 1, 5, 4], [v = -
2^(1/2), u = 3^(1/2), x < -2, And(x+2 < y,y < 0), z = (y-x)^(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, 5, 5], [v = -2^(1/2), u = 3^(1/2), x < -2, And(x+2 < y,y < 0), (y-x)^(1/2
) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 
1816187/1048576], [-3, -3], [-1/2, -1/2], [3, 3]]]], [[2, 19, 9, 3, 1], [v = -
2^(1/2), 2 < u, And(1 < x,x < u^2-3), And(x-u^2+3 < y,y < 0), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7/2, 7/2], [-5/4,
-5/4], [0, 0]]]], [[3, 2, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 2, 5, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -2, 0 < y
, z < -(y+2)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [-2, -2], [1, 1], [-3, -3]]]], [[3, 8, 2, 5,
2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -2, 0 < y, z = -(y+2)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/
2097152, -354469/524288], [-2, -2], [1, 1], [-1816187/1048576, -3632373/
2097152]]]], [[3, 8, 2, 5, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2),
x = -2, 0 < y, And(-(y+2)^(1/2) < z,z < (y+2)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-2, -\
2], [1, 1], [-1/4194304, -1/4194304]]]], [[3, 8, 2, 5, 4], [And(-2^(1/2) < v,v
< -1), u = -(v^2-1)^(1/2), x = -2, 0 < y, z = (y+2)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-2,
-2], [1, 1], [908093/524288, 1816187/1048576]]]], [[3, 8, 2, 5, 5], [And(-2^(1
/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -2, 0 < y, (y+2)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-2, -2], [1, 1], [3, 3]]]], [[3, 10, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 1]
, [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(x-u^2+v^2+
1 < y,y < x), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
3, 3], [-10, -10], [-27832241/2097152, -27832241/2097152], [0, 0]]]], [[4, 1,
7, 6, 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, 6, 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, 6, 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, 1, 1], [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), y < x, z = z], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [-2, -2], [0, 0]]]], [[4
, 9, 4, 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], [-3/4, -3/4], [-2, -2]]]], [[4
, 9, 4, 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], [-3/4, -3/4], [-1/2, -1/2]]]],
[[4, 9, 4, 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], [-3/4, -3/4], [0, 0]]]],
[[4, 9, 4, 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], [-3/4, -3/4], [1/2, 1/2]]]], [
[4, 9, 4, 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], [-3/4, -3/4], [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 < -(
y+1)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-\
1, -1], [3, 3], [-3, -3]]]], [[4, 13, 4, 9, 2], [v = -1, And(2^(1/2) < u,u < 3
^(1/2)), x = -1, u^2-1 < y, z = -(y+1)^(1/2)], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-1, -1], [3, 3], [-2, -2]]]], [[4, 13, 4,
9, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, u^2-1 < y, And(-(y+1)^(1
/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1, -1], [3299097/2097152, 
3299097/2097152], [-1, -1], [3, 3], [0, 0]]]], [[4, 13, 4, 9, 4], [v = -1, And
(2^(1/2) < u,u < 3^(1/2)), x = -1, u^2-1 < y, z = (y+1)^(1/2)], [regular_chain
, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1, -1], [3, 3], [2, 2]]]],
[[4, 13, 4, 9, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, u^2-1 < y, (
y+1)^(1/2) < z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152]
, [-1, -1], [3, 3], [3, 3]]]], [[4, 15, 2, 3, 1], [v = -1, 3^(1/2) < u, x = -u
^2, And(-2*u^2+2 < y,y < -u^2), z = z], [regular_chain, [[-1, -1], [3, 3], [-9
, -9], [-25/2, -25/2], [0, 0]]]], [[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 = x, z < 0], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1672995/
2097152, -1672995/2097152], [-1672995/2097152, -1672995/2097152], [-1, -1]]]],
[[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 = x, z = 0], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152], [-1672995/
2097152, -1672995/2097152], [0, 0]]]], [[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 = x, 0 < z], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1672995/
2097152, -1672995/2097152], [-1672995/2097152, -1672995/2097152], [1, 1]]]], [
[5, 7, 6, 1, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x = -u^2+v^2-1, y < -u
^2+v^2-1, z = z], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/4, -3/4], [-2, -2
], [0, 0]]]], [[5, 8, 5, 2, 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, 1, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = 0, y
< 0, z = z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072],
[0, 0], [-1, -1], [0, 0]]]], [[6, 2, 7, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 6, 3, 1], [v = 0, u = -1, x = 0, And(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2),
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(0 < y,y < x), z = z], [
regular_chain, [[0, 0], [1, 1], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[6, 10, 5,
1, 1], [v = 0, u = 2^(1/2), And(-1 < x,x < 0), y < x-1, z = z], [regular_chain
, [[0, 0], [741455/524288, 1482911/1048576], [-1/2, -1/2], [-3, -3], [0, 0]]]]
, [[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 < x+2), z < -(y-x)^(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, 5,
2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2
), z = -(y-x)^(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, 5, 3], [And(0 < v,v
< 1), u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), And(-(y-x)^(1/
2) < z,z < (y-x)^(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, 5, 4], [And(0
< v,v < 1), u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z = (y-x
)^(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, 5, 5], [And(0 < v,v < 1), u = -(v^2
+1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), (y-x)^(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, 6, 6, 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, 6, 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, 6, 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
, 6, 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, 6, 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, 6, 7, 1], [And(0 < v,v < 1), (v^2+2)^(
1/2) < u, x = 0, u^2-v^2+1 < y, z < -y^(1/2)], [regular_chain, [[1/2, 1/2], [3
, 3], [0, 0], [11, 11], [-5, -5]]]], [[7, 13, 6, 7, 2], [And(0 < v,v < 1), (v^
2+2)^(1/2) < u, x = 0, u^2-v^2+1 < y, z = -y^(1/2)], [regular_chain, [[1/2, 1/
2], [3, 3], [0, 0], [11, 11], [-1738867/524288, -3477733/1048576]]]], [[7, 13,
6, 7, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = 0, u^2-v^2+1 < y, 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, 7, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = 0, u^2
-v^2+1 < y, z = y^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [0, 0], [11, 11
], [3477733/1048576, 1738867/524288]]]], [[7, 13, 6, 7, 5], [And(0 < v,v < 1),
(v^2+2)^(1/2) < u, x = 0, u^2-v^2+1 < y, y^(1/2) < z], [regular_chain, [[1/2,
1/2], [3, 3], [0, 0], [11, 11], [5, 5]]]], [[8, 2, 1, 6, 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, 6, 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, 6, 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,
6, 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, 6, 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, 7, 10, 9, 1], [v = 1, And(-1 < u
,u < 0), x = 1, -u^2+3 < y, z < -(y-1)^(1/2)], [regular_chain, [[1, 1], [-1/2,
-1/2], [1, 1], [4, 4], [-3, -3]]]], [[8, 7, 10, 9, 2], [v = 1, And(-1 < u,u <
0), x = 1, -u^2+3 < y, z = -(y-1)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2
], [1, 1], [4, 4], [-1816187/1048576, -3632373/2097152]]]], [[8, 7, 10, 9, 3],
[v = 1, And(-1 < u,u < 0), x = 1, -u^2+3 < y, 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, 9, 4], [v = 1, And(-1 < u,u < 0), x = 1, -u^2+3 < y,
z = (y-1)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [4, 4], [
908093/524288, 1816187/1048576]]]], [[8, 7, 10, 9, 5], [v = 1, And(-1 < u,u <
0), x = 1, -u^2+3 < y, (y-1)^(1/2) < z], [regular_chain, [[1, 1], [-1/2, -1/2]
, [1, 1], [4, 4], [3, 3]]]], [[8, 9, 9, 8, 1], [v = 1, And(0 < u,u < 1), And(0
< x,x < 1), y = x-u^2+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, 8, 2], [v = 1, And(0 < u
,u < 1), And(0 < x,x < 1), y = x-u^2+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, 8, 3], [v = 1, And(0 < u,u < 1), And(0 < x,x < 1), y = x-u^2+2,
And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[1, 1], [1/2, 1
/2], [1/2, 1/2], [9/4, 9/4], [0, 0]]]], [[8, 9, 9, 8, 4], [v = 1, And(0 < u,u
< 1), And(0 < x,x < 1), y = x-u^2+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, 8, 5], [v = 1, And(0 < u,u < 1), And(0 < x,x < 1), y = x-u^2+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, 10, 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, 10, 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, 10, 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]]]], [[8, 15, 7, 5, 1], [v =
1, 3^(1/2) < u, And(0 < x,x < 1), And(0 < y,y < x), 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 < 0, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [2, 2], [-1, -1], [0, 0]]]], [[9, 7, 11, 5, 1], [And(1 < v,v
< 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, And(x < y,y < u^2-v^2+x+1),
z < -(y-x)^(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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z <
(y-x)^(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(x < y,y < u^2-v^2+x+1), z = (y-x)^(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(x < y,y < u^2-v^2+x+1), (y-x)^(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 < 0), z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [0, 0], [-2576463/1048576, -1288231/524288], [-1288231/
1048576, -1288231/1048576], [-3, -3]]]], [[9, 9, 2, 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^2-1
< y,y < 0), z = -(y-u^2+v^2+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,
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^2-1 < y,y < 0), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v
^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-\
2576463/1048576, -1288231/524288], [-1288231/1048576, -1288231/1048576], [0, 0
]]]], [[9, 9, 2, 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^2-1 < y,y < 0), z = (y-u^2+v^2+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, 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^2-1 < y,y < 0), (
y-u^2+v^2+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, 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], [-2695357/1048576, -5390713/2097152], [-2, -2]]]], [[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], [-\
2695357/1048576, -5390713/2097152], [-1374407/2097152, -687203/1048576]]]], [[
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], [-2695357/1048576, -5390713/2097152], [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], [-2695357/
1048576, -5390713/2097152], [687203/1048576, 171801/262144]]]], [[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], [-2695357/
1048576, -5390713/2097152], [2, 2]]]], [[9, 16, 8, 5, 1], [And(1 < v,v < 2^(1/
2)), u = (v^2+2)^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 2], [And(1 < v,v < 2
^(1/2)), u = (v^2+2)^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 1, And(1 < y,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], [5/2, 5/2], [0, 0]]
]], [[9, 16, 8, 5, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 1, And(
1 < y,y < 4), 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, 5, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(
1/2), x = 1, And(1 < y,y < 4), (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, 4, 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, 4, 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, 4, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 3
, 1], [v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), And(x < y,y < u
^2+x-1), z < -(y-x)^(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, 3, 2], [v = 2^(1/
2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), And(x < y,y < u^2+x-1), z = -(y
-x)^(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, 3,
3], [v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), And(x < y,y < u^2
+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(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,
3, 4], [v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), And(x < y,y <
u^2+x-1), z = (y-x)^(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, 3, 5], [v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), And(x < y,y
< u^2+x-1), (y-x)^(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, 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 < 0, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [
741455/524288, 1482911/1048576], [2, 2], [-1, -1], [0, 0]]]], [[11, 2, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576,
-3396811/1048576], [1566621/2097152, 1566621/2097152], [4181817/2097152, 
4181817/2097152], [-3, -3]]]], [[11, 3, 9, 7, 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(x < y,y < u^2-v^2+
x+1), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [1566621/2097152, 1566621/2097152], [4181817/2097152, 4181817/
2097152], [-1170947/1048576, -585473/524288]]]], [[11, 3, 9, 7, 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(x
< y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[3, 3], [-3396811/1048576, -3396811/1048576], [1566621/2097152, 1566621/
2097152], [4181817/2097152, 4181817/2097152], [0, 0]]]], [[11, 3, 9, 7, 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(x < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [1566621/2097152, 1566621/2097152], [
4181817/2097152, 4181817/2097152], [585473/524288, 1170947/1048576]]]], [[11,
3, 9, 7, 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(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [1566621/2097152
, 1566621/2097152], [4181817/2097152, 4181817/2097152], [3, 3]]]], [[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 = x, z < 0], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [395403/524288, 395403/524288], [395403/524288, 395403/
524288], [-1, -1]]]], [[11, 9, 9, 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], [395403/524288, 395403/524288
], [395403/524288, 395403/524288], [0, 0]]]], [[11, 9, 9, 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], [
395403/524288, 395403/524288], [395403/524288, 395403/524288], [1, 1]]]], [[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 = z], [regular_chain, [[3, 3], [0, 0], [0, 0], [
-4, -4], [0, 0]]]], [[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-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-657289/524288, -\
657289/524288], [2, 2], [-3, -3]]]], [[11, 15, 3, 9, 2], [2^(1/2) < v, And((v^
2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), x-u^2+v^2+1 < y, z = -(y-x)^
(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-657289/
524288, -657289/524288], [2, 2], [-1891417/1048576, -7565667/4194304]]]], [[11
, 15, 3, 9, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,
x < -1), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-657289/524288, -\
657289/524288], [2, 2], [-3/8388608, -3/8388608]]]], [[11, 15, 3, 9, 4], [2^(1
/2) < v, And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), x-u^2+v^2+1
< y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-657289/524288, -657289/524288], [2, 2], [236427/131072, 1891417/
1048576]]]], [[11, 15, 3, 9, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 
And(u^2-v^2-1 < x,x < -1), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain,
[[3, 3], [6111549/2097152, 6111549/2097152], [-657289/524288, -657289/524288],
[2, 2], [3, 3]]]], [[11, 17, 4, 4, 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], [-\
2, -2]]]], [[11, 17, 4, 4, 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], [-373161/
524288, -1492643/2097152]]]], [[11, 17, 4, 4, 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], [-1/4194304, -1/4194304]]]], [[11, 17, 4,
4, 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], [746321/1048576, 373161/524288]]]],
[[11, 17, 4, 4, 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], [2, 2]]]], [[1, 1,
5, 3, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(x-u^2+v^2+
1 < y,y < x), z = z], [regular_chain, [[-3, -3], [-5, -5], [-1/2, -1/2], [-8,
-8], [0, 0]]]], [[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 = 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, 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 = 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, 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 = 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, 6, 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, 6, 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, 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 < 2*u^2-2*v^2, z
= z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-\
657547/262144, -5260375/2097152], [-5, -5], [0, 0]]]], [[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 < -(y+1)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 
2965821/1048576], [-1, -1], [-1/2, -1/2], [-2, -2]]]], [[1, 14, 4, 3, 2], [v <
-2^(1/2), u = (v^2-1)^(1/2), x = -1, And(-1 < y,y < 0), z = -(y+1)^(1/2)], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1, -1], [-1/2, -\
1/2], [-1482911/2097152, -741455/1048576]]]], [[1, 14, 4, 3, 3], [v < -2^(1/2)
, u = (v^2-1)^(1/2), x = -1, And(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)
^(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 = (y+1)^(1/2)], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [-1, -1], [-1/2, -1/2], [741455/1048576, 
46341/65536]]]], [[1, 14, 4, 3, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -1,
And(-1 < y,y < 0), (y+1)^(1/2) < z], [regular_chain, [[-3, -3], [741455/262144
, 2965821/1048576], [-1, -1], [-1/2, -1/2], [2, 2]]]], [[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-u^2+v^2+1, z = z], [regular_chain, [[-3, -3]
, [5, 5], [16, 16], [1, 1], [0, 0]]]], [[2, 2, 6, 5, 1], [v = -2^(1/2), u = -2
, x = 0, And(0 < y,y < 3), z < -y^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-2, -2], [0, 0], [3/2, 3/2], [-3, -3]]]], [[2, 2, 6, 5, 2],
[v = -2^(1/2), u = -2, x = 0, And(0 < y,y < 3), 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, 5, 3], [v = -2^(1/2), u = -2, x = 0, 
And(0 < y,y < 3), 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,
5, 4], [v = -2^(1/2), u = -2, x = 0, And(0 < y,y < 3), 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, 5, 5], [v = -2^(1/2), u =
-2, x = 0, And(0 < y,y < 3), y^(1/2) < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [-2, -2], [0, 0], [3/2, 3/2], [3, 3]]]], [[2, 9, 6, 3, 1], [v
= -2^(1/2), And(-1 < u,u < 0), x = 0, And(u^2-1 < y,y < 0), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [0, 0], [-3/
8, -3/8], [0, 0]]]], [[2, 11, 3, 8, 1], [v = -2^(1/2), And(0 < u,u < 1), And(u
^2-3 < x,x < -1), y = x-u^2+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, 8, 2], [v = -2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x <
-1), y = x-u^2+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, 8, 3], [v = -2^(1/2), And(0 < u,u < 1), And(u
^2-3 < x,x < -1), y = x-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], [-15/8, -15/8]
, [7/8, 7/8], [-1/4194304, -1/4194304]]]], [[2, 11, 3, 8, 4], [v = -2^(1/2), 
And(0 < u,u < 1), And(u^2-3 < x,x < -1), y = x-u^2+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, 8, 5], [v = -2^
(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), y = x-u^2+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, 3, 3, 1], [v = -2^(1/2), And(3^(1/2) <
u,u < 2), And(-u^2+1 < x,x < -1), And(x-u^2+3 < y,y < x), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-3651195/2097152, -3651195/2097152], [-8313323/4194304, -8313323/
4194304], [0, 0]]]], [[2, 18, 9, 6, 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, 6, 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, 6, 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, 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 = 0, z < -1], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [0, 0], [
-2, -2]]]], [[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 = 0, z = -1], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1],
[0, 0], [-1, -1]]]], [[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 = 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, 6, 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, 6, 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, 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), u^2
-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-646847/524288, -646847/
524288], [2, 2], [-3, -3]]]], [[3, 5, 3, 9, 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), u^2-v^2+x+1 < y, z = -
(y-x)^(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, 9, 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), u^2-v^2+x+1 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-5818805/4194304, -5818805/4194304], [-646847/524288, -\
646847/524288], [2, 2], [0, 0]]]], [[3, 5, 3, 9, 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), u^2-v^2+x+1 < y,
z = (y-x)^(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, 9, 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), u^2-v^2+x+1 < y
, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-646847/524288, -646847/524288], [2, 2],
[3, 3]]]], [[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 = 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], [-897307/1048576, -3589227/
4194304], [-2, -2]]]], [[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 = 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], [-897307/
1048576, -3589227/4194304], [-1374407/2097152, -687203/1048576]]]], [[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 = u^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], [-897307/1048576, -\
3589227/4194304], [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 = 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], [-\
897307/1048576, -3589227/4194304], [687203/1048576, 171801/262144]]]], [[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 = 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], [-897307/1048576, -3589227/4194304], [2, 2
]]]], [[3, 13, 4, 3, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/
2)), x = -1, And(-1 < y,y < -u^2+v^2), z < -(y+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -\
1], [-384703/524288, -384703/524288], [-2, -2]]]], [[3, 13, 4, 3, 2], [And(-2^
(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(-1 < y,y < -u^2+
v^2), z = -(y+1)^(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, 3, 3], [And(-2^(1/
2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(-1 < y,y < -u^2+v^2
), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [-384703/
524288, -384703/524288], [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(-1 < y,y < -u^2+v^2), z = (y+1)
^(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, 3, 5], [And(-2^(1/2) < v,v < -1), And
(-v < u,u < (v^2+1)^(1/2)), x = -1, And(-1 < y,y < -u^2+v^2), (y+1)^(1/2) < z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1, -1], [-384703/524288, -384703/524288], [2, 2]]]], [[3,
14, 2, 2, 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, 2, 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, 2, 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, 3, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x < -3,
And(x-1 < y,y < x), z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [-4, -4], [-9/2, -9/2], [0, 0]]]],
[[4, 4, 3, 1, 1], [v = -1, u = -2^(1/2), And(-2 < x,x < -1), y < x, z = z], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3/2, -3/2], [-\
3, -3], [0, 0]]]], [[4, 6, 1, 7, 1], [v = -1, u = -1, x < -1, 0 < y, z < -(y-x
)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [-2, -2], [1, 1], [-3, -3]]]],
[[4, 6, 1, 7, 2], [v = -1, u = -1, x < -1, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1, -1], [-2, -2], [1, 1], [-1816187/1048576, -\
3632373/2097152]]]], [[4, 6, 1, 7, 3], [v = -1, u = -1, x < -1, 0 < y, And(-(y
-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-1, -1], [-2, -2]
, [1, 1], [-1/4194304, -1/4194304]]]], [[4, 6, 1, 7, 4], [v = -1, u = -1, x <
-1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [-2, -2], [1
, 1], [908093/524288, 1816187/1048576]]]], [[4, 6, 1, 7, 5], [v = -1, u = -1,
x < -1, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1, -1], [-2, -2]
, [1, 1], [3, 3]]]], [[4, 10, 2, 3, 1], [v = -1, u = 1, x = -1, And(-1 < y,y <
0), z < -(y+1)^(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(-1 < y,y < 0),
z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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+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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 1, 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], [-2, -2], [0, 0]]]], [[5, 4, 4, 3, 1], [And(-1 < v,v <
0), u = -(v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), z < -(y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-1, -1], [-\
1/2, -1/2], [-2, -2]]]], [[5, 4, 4, 3, 2], [And(-1 < v,v < 0), u = -(v^2+1)^(1
/2), x = -1, And(-1 < y,y < 0), z = -(y+1)^(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, 3, 3], [And(-1 < v,v < 0), u = -(v^2+
1)^(1/2), x = -1, And(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(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, 3, 5], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x =
-1, And(-1 < y,y < 0), (y+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [-1, -1], [-1/2, -1/2], [2, 2]]]], [[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 < -y^(1/2)], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [0, 0], [1291597/1048576, 1291597/1048576], [-3
, -3]]]], [[5, 11, 6, 5, 2], [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 = -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, 5, 3], [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), 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, 5, 4], [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 = 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, 5, 5], [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
), y^(1/2) < z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144]
, [0, 0], [1291597/1048576, 1291597/1048576], [3, 3]]]], [[5, 13, 4, 1, 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], [-10, -10], [0, 0]]]], [[6, 5,
7, 2, 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, 2, 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, 2, 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, 1, 1], [v = 0, And(0 < u,u < 1), x = 0, y < 0, z = z], [
regular_chain, [[0, 0], [1/2, 1/2], [0, 0], [-1, -1], [0, 0]]]], [[6, 11, 4, 8
, 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, 8,
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, 8, 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, 8, 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, 8, 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,
1, 11, 2, 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,
9, 1, 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], [-1, -1], [0, 0]]]], [[7,
9, 9, 9, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1)
, u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [1/2, 1/2], [3, 3], [-3, -3]]]], [[7, 9, 9, 9, 2],
[And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), u^2-v^2+x+1
< y, z = -(y-x)^(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, 9, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), u
^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2,
1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2], [3, 3], [0, 0]]]], [[7,
9, 9, 9, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1)
, u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(0
< x,x < 1), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [1/2, 1/2], [3, 3], [3, 3]]]], [[7, 10, 9,
6, 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, 6, 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, 6,
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, 6, 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, 6, 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, 5, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = 0, And
(0 < y,y < 3), 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, 5, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/
2), x = 0, And(0 < y,y < 3), 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, 5
, 3], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x =
0, And(0 < y,y < 3), 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, 5, 5], [And
(0 < v,v < 1), u = (v^2+2)^(1/2), x = 0, And(0 < y,y < 3), y^(1/2) < z], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [0, 0], [3/2, 3/2], [3, 3]]]], [[8, 5,
1, 1, 1], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, y < x, z = z], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3, -3], [-4, -\
4], [0, 0]]]], [[8, 7, 1, 5, 1], [v = 1, And(-1 < u,u < 0), x < u^2-2, And(u^2
+x < y,y < x-u^2+2), z < -(y-x)^(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 < y,y < x-u^2+2), z = -(y-x)^(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 < y,y < x-u^2+2), And(-(y-x)^(1/2) < z
,z < (y-x)^(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 <
y,y < x-u^2+2), z = (y-x)^(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 < y,y < x-u^2+2), (y-x)^(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 < 0), z < -(u^2+y)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1527887/1048576,
-763943/524288], [-7668971/16777216, -7668971/16777216], [-3, -3]]]], [[8, 11,
2, 5, 2], [v = 1, And(1 < u,u < 2^(1/2)), x = -u^2, And(-2*u^2+2 < y,y < 0), z
= -(u^2+y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576]
, [-1527887/1048576, -763943/524288], [-7668971/16777216, -7668971/16777216],
[-1048577/1048576, -1]]]], [[8, 11, 2, 5, 3], [v = 1, And(1 < u,u < 2^(1/2)),
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], [1265743/1048576, 1265743/1048576], [-1527887/1048576
, -763943/524288], [-7668971/16777216, -7668971/16777216], [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 < 0), z
= (u^2+y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576],
[-1527887/1048576, -763943/524288], [-7668971/16777216, -7668971/16777216], [1
, 1048577/1048576]]]], [[8, 11, 2, 5, 5], [v = 1, And(1 < u,u < 2^(1/2)), x =
-u^2, And(-2*u^2+2 < y,y < 0), (u^2+y)^(1/2) < z], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-1527887/1048576, -763943/524288], [-\
7668971/16777216, -7668971/16777216], [3, 3]]]], [[8, 13, 1, 4, 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, 4, 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, 4, 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, 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 < -(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, 7, 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, 0 < y, 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, 7, 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, 0 < y, 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, 7, 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, 0 < y, 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, 7, 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, 0 < y, (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, 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], [-3213831/2097152, -1606915/1048576], [-3, -3]]]],
[[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], [-3213831/2097152, -1606915/1048576], [-1270261/1048576, -317565/262144]]
]], [[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], [-3213831/2097152, -1606915/1048576], [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], [-\
3213831/2097152, -1606915/1048576], [317565/262144, 1270261/1048576]]]], [[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], [-\
3213831/2097152, -1606915/1048576], [3, 3]]]], [[9, 11, 10, 8, 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], [673839/262144, 2695357/1048576], [-3, -3]]]
], [[9, 11, 10, 8, 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], [673839/
262144, 2695357/1048576], [-1314069/1048576, -328517/262144]]]], [[9, 11, 10,
8, 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],
[673839/262144, 2695357/1048576], [0, 0]]]], [[9, 11, 10, 8, 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], [673839/262144, 2695357/1048576], [328517/
262144, 1314069/1048576]]]], [[9, 11, 10, 8, 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], [673839/262144, 2695357/1048576], [3, 3]]]], [[9, 13, 11, 3,
1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(0 < y,y
< x), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [2, 2], [1, 1], [0, 0]]]], [[10, 2, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, And(x-u^2+3 < y,y
< x), 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 < 0), z <
-(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-\
3, -3], [-1/2, -1/2], [-3, -3]]]], [[10, 8, 1, 5, 2], [v = 2^(1/2), u = -1, x
< -2, And(x+2 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-1, -1], [-3, -3], [-1/2, -1/2], [-3315889/2097152, -207243
/131072]]]], [[10, 8, 1, 5, 3], [v = 2^(1/2), u = -1, x < -2, And(x+2 < y,y <
0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-1, -1], [-3, -3], [-1/2, -1/2], [0, 0]]]], [[10, 8, 1, 5,
4], [v = 2^(1/2), u = -1, x < -2, And(x+2 < y,y < 0), z = (y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-3, -3], [-1/2, -\
1/2], [207243/131072, 1657945/1048576]]]], [[10, 8, 1, 5, 5], [v = 2^(1/2), u
= -1, x < -2, And(x+2 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [-3, -3], [-1/2, -1/2], [3, 3]]]], [[10, 9
, 11, 4, 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, 5, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And
(0 < x,x < 1), And(x < y,y < x-u^2+3), z < -(y-x)^(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(x < y,y < x-u^2+3), z = -(
y-x)^(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(x < y,y < x-u^2+3), And(-(y-x)^(1/2) < z
,z < (y-x)^(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(x < y,y < x-u^2+3), z = (y-x)^(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(x < y,y < x-u^2+3), (y-x)^(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 = 0, z = z], [regular_chain, [[741455
/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [505467/1048576
, 126367/262144], [0, 0], [0, 0]]]], [[10, 18, 6, 3, 1], [v = 2^(1/2), u = 2,
x = 0, And(-1 < y,y < 0), z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [0, 0], [-1/2, -1/2], [0, 0]]]], [[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 = x, z < 0], [
regular_chain, [[3, 3], [-5, -5], [-9, -9], [-9, -9], [-1, -1]]]], [[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 = x, z
= 0], [regular_chain, [[3, 3], [-5, -5], [-9, -9], [-9, -9], [0, 0]]]], [[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 =
x, 0 < z], [regular_chain, [[3, 3], [-5, -5], [-9, -9], [-9, -9], [1, 1]]]], [
[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 < x-u^2+v^2+1), z < -(y-x)^(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 < x-u^2+v^2+1), z = -(y-x)^(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 < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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 < x-u^2+v^2+1), z = (y-x)^(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 < x-u^2+v^2+1), (y-x)^(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 =
0, z = z], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [2,
2], [0, 0], [0, 0]]]], [[11, 12, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6,
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
, 5, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -2, And(x+2 < y,y < 0), z < -(y-
x)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-3, -3]
, [-1/2, -1/2], [-3, -3]]]], [[11, 14, 1, 5, 2], [2^(1/2) < v, u = (v^2-1)^(1/
2), x < -2, And(x+2 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [
741455/262144, 2965821/1048576], [-3, -3], [-1/2, -1/2], [-3315889/2097152, -\
207243/131072]]]], [[11, 14, 1, 5, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -2
, And(x+2 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[3, 3], [741455/262144, 2965821/1048576], [-3, -3], [-1/2, -1/2], [0, 0]]]],
[[11, 14, 1, 5, 4], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -2, And(x+2 < y,y < 0
), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576]
, [-3, -3], [-1/2, -1/2], [207243/131072, 1657945/1048576]]]], [[11, 14, 1, 5,
5], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -2, And(x+2 < y,y < 0), (y-x)^(1/2) <
z], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-3, -3], [-1/2
, -1/2], [3, 3]]]], [[11, 20, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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,
5, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(0 < y,y
< x), 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-u^2+v^2+1 < y,y < x), 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 = u^
2-v^2+2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072,
-403851/131072], [1, 1], [2614535/1048576, 326817/131072], [-3, -3]]]], [[1, 5
, 10, 8, 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], [2614535/1048576, 326817/131072], [-1281417/1048576, -\
160177/131072]]]], [[1, 5, 10, 8, 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], [
2614535/1048576, 326817/131072], [0, 0]]]], [[1, 5, 10, 8, 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], [2614535/
1048576, 326817/131072], [160177/131072, 1281417/1048576]]]], [[1, 5, 10, 8, 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], [2614535/1048576, 326817/131072], [3, 3]]]], [[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
< 0), z = z], [regular_chain, [[-3, -3], [0, 0], [1, 1], [-7/2, -7/2], [0, 0]]
]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[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 = 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, 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 = 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, 6, 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, 6, 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,
2, 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], [-531193/1048576, -1062385/2097152], [-1, -\
1]]]], [[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 = u^2-v^2-1, z = 0], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [-531193/1048576, -1062385/2097152], [-531193/1048576, -\
1062385/2097152], [0, 0]]]], [[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 = u^2-v^2-1, 0 < z], [regular_chain, [[-3, -3
], [403851/131072, 403851/131072], [-531193/1048576, -1062385/2097152], [-\
531193/1048576, -1062385/2097152], [1, 1]]]], [[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(x < y,y < 0
), z < -(y-x)^(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(x < y,
y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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(0 < y,y
< u^2+x-1), z < -(y-x)^(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, 7, 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-1), z = -(y-x)^(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, 7, 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-1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 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-1), z = (y-x)^(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, 7, 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-1), (y-x)^(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, 4, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 5, 5, 1], [v = -2^(1/2), u = -1, And(-1 < x,x < 0), And(0 < y,y <
x+2), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1, -1], [-1/2, -1/2], [3/4, 3/4], [-3, -3]]]], [[2, 8, 5, 5, 2], [v = -2^(1/
2), u = -1, And(-1 < x,x < 0), And(0 < y,y < x+2), z = -(y-x)^(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, 5, 3], [v = -2^(1/
2), u = -1, And(-1 < x,x < 0), And(0 < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y
-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-\
1/2, -1/2], [3/4, 3/4], [0, 0]]]], [[2, 8, 5, 5, 4], [v = -2^(1/2), u = -1, 
And(-1 < x,x < 0), And(0 < y,y < x+2), z = (y-x)^(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, 5, 5], [v = -2^(1/2), u = -1, And(-1 <
x,x < 0), And(0 < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [-1/2, -1/2], [3/4, 3/4], [3, 3]]]], [[2,
13, 11, 5, 1], [v = -2^(1/2), And(1 < u,u < -v), 1 < x, And(x < y,y < u^2+x-1)
, z < -(y-x)^(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(
x < y,y < u^2+x-1), z = -(y-x)^(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(x < y,y < u^2+x-1), And(-(y-x)^(1/2)
< z,z < (y-x)^(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(x
< y,y < u^2+x-1), z = (y-x)^(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(x < y,y < u^2+x-1), (y-x)^(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 = 0, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [7/2, 7/2], [0, 0], [0, 0]]]], [[3,
2, 4, 7, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -1, And(0 < y,
y < 2), z < -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-1, -1], [1, 1], [-3, -3]]]],
[[3, 2, 4, 7, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -1, And(0
< y,y < 2), z = -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-1, -1], [1, 1], [-1482911/
1048576, -741455/524288]]]], [[3, 2, 4, 7, 3], [And(-2^(1/2) < v,v < -1), u =
-(v^2+2)^(1/2), x = -1, And(0 < y,y < 2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2)
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152,
-7798593/4194304], [-1, -1], [1, 1], [0, 0]]]], [[3, 2, 4, 7, 4], [And(-2^(1/2
) < v,v < -1), u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 2), z = (y+1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1, -1], [1, 1], [741455/524288, 1482911/1048576]]]], [[3,
2, 4, 7, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -1, And(0 < y,
y < 2), (y+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-3899297/2097152, -7798593/4194304], [-1, -1], [1, 1], [3, 3]]]], [[3, 8,
2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 10, 1, 5,
1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x < -2, And(x+2 < y,y < 0),
z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
354469/524288, 708939/1048576], [-3, -3], [-1/2, -1/2], [-3, -3]]]], [[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
< 0), z = -(y-x)^(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, 5, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^
(1/2), x < -2, And(x+2 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-3, -3], [-1/2, -1/2], [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 < 0), z = (y-x)^(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, 5, 5], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x < -2, And(x+2 < y,
y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [354469/524288, 708939/1048576], [-3, -3], [-1/2, -1/2], [3, 3]]]], [[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 =
x-u^2+v^2+1, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3
, 3], [-10, -10], [-8673241/524288, -17346481/1048576], [0, 0]]]], [[4, 1, 7,
5, 1], [v = -1, u < -3^(1/2), And(0 < x,x < 1), And(0 < y,y < x), 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 = x, z < 0], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [-5/8, -5/8], [-1, -1]]]
], [[4, 7, 5, 2, 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, 2, 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, 5, 1], [v = -1, And(0 < u,u < 1), x = -1, And(u^2-\
1 < y,y < 0), z < -(y+1)^(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(u^2-1 < y,y < 0), z = -(y+1)^(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(u^2-1 < y,y < 0), And(-(y+1)^
(1/2) < z,z < (y+1)^(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(u^2-1 < y,y < 0), z = (y+1)^(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(u^2-1 < y,y < 0), (y+1)^(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 < -u
], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1, -1], [
1546381/1048576, 773191/524288], [-3, -3]]]], [[4, 13, 4, 8, 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], [1546381/1048576, 773191/
524288], [-3299097/2097152, -3299097/2097152]]]], [[4, 13, 4, 8, 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], [
1546381/1048576, 773191/524288], [-1/4194304, -1/4194304]]]], [[4, 13, 4, 8, 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], [
1546381/1048576, 773191/524288], [412387/262144, 1649549/1048576]]]], [[4, 13,
4, 8, 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], [
1546381/1048576, 773191/524288], [3, 3]]]], [[4, 15, 2, 2, 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, 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(x < y,y < x-u^2+v^2+1), z <
-(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [-1672995/2097152, -1672995/2097152], [-2097153/4194304, -2097153/
4194304], [-2, -2]]]], [[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(x < y,y < x-u^2+v^2+1), z = -(y-x
)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152],
[-1672995/2097152, -1672995/2097152], [-2097153/4194304, -2097153/4194304], [-\
1144335/2097152, -572167/1048576]]]], [[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(x < y,y < x-u^2+
v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2],
[-1696631/2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152], [-\
2097153/4194304, -2097153/4194304], [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(x < y,y <
x-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152], [-2097153/
4194304, -2097153/4194304], [572167/1048576, 71521/131072]]]], [[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(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2]
, [-1696631/2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152],
[-2097153/4194304, -2097153/4194304], [2, 2]]]], [[5, 7, 6, 2, 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, 2, 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, 2, 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, 5, 1, 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], [-1, -1], [0, 0]]]], [[5, 10, 5, 7, 1], [And(-1 < v,v < 0), u =
(v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, z < -(y-x)^(1/2)], [regular_chain,
[[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1/2, -1/2], [3, 3], [-3, -3
]]]], [[5, 10, 5, 7, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-1 < x,x <
0), x+2 < y, z = -(y-x)^(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, 7, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-1 <
x,x < 0), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
1/2, -1/2], [1172343/1048576, 146543/131072], [-1/2, -1/2], [3, 3], [0, 0]]]],
[[5, 10, 5, 7, 4], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-1 < x,x < 0), x
+2 < y, z = (y-x)^(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, 7, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-1 < x,x < 0), x+2
< y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543
/131072], [-1/2, -1/2], [3, 3], [3, 3]]]], [[6, 2, 7, 9, 1], [v = 0, u = -2^(1
/2), And(0 < x,x < 1), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [1/2, 1/2], [5, 5], [-4, -4]]]], [[6, 2, 7,
9, 2], [v = 0, u = -2^(1/2), And(0 < x,x < 1), x+3 < y, z = -(y-x)^(1/2)], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [1/2, 1/2], [5, 5]
, [-1112183/524288, -2224365/1048576]]]], [[6, 2, 7, 9, 3], [v = 0, u = -2^(1/
2), And(0 < x,x < 1), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [1/2, 1/2], [5, 5]
, [0, 0]]]], [[6, 2, 7, 9, 4], [v = 0, u = -2^(1/2), And(0 < x,x < 1), x+3 < y
, z = (y-x)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288
], [1/2, 1/2], [5, 5], [2224365/1048576, 1112183/524288]]]], [[6, 2, 7, 9, 5],
[v = 0, u = -2^(1/2), And(0 < x,x < 1), x+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [1/2, 1/2], [5, 5]
, [4, 4]]]], [[6, 4, 6, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 2, 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, 4, 9,
1], [v = 0, u = 2^(1/2), x = -1, 2 < y, z < -(y+1)^(1/2)], [regular_chain, [[0
, 0], [741455/524288, 1482911/1048576], [-1, -1], [3, 3], [-3, -3]]]], [[6, 10
, 4, 9, 2], [v = 0, u = 2^(1/2), x = -1, 2 < y, z = -(y+1)^(1/2)], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1, -1], [3, 3], [-\
2, -2]]]], [[6, 10, 4, 9, 3], [v = 0, u = 2^(1/2), x = -1, 2 < y, And(-(y+1)^(
1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [-1, -1], [3, 3], [0, 0]]]], [[6, 10, 4, 9, 4], [v = 0, u = 2^(1/2),
x = -1, 2 < y, z = (y+1)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 
1482911/1048576], [-1, -1], [3, 3], [2, 2]]]], [[6, 10, 4, 9, 5], [v = 0, u =
2^(1/2), x = -1, 2 < y, (y+1)^(1/2) < z], [regular_chain, [[0, 0], [741455/
524288, 1482911/1048576], [-1, -1], [3, 3], [3, 3]]]], [[7, 4, 7, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [And(0 < v,v < 1), u = -v,
x = 1, 2 < y, z < -(y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1
, 1], [3, 3], [-3, -3]]]], [[7, 6, 6, 7, 2], [And(0 < v,v < 1), u = -v, x = 1,
2 < y, 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, 7, 3], [And(0 < v,v <
1), u = -v, x = 1, 2 < y, 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
, 7, 4], [And(0 < v,v < 1), u = -v, x = 1, 2 < y, 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, 7, 5], [And(0 < v,v < 1), u = -v, x = 1, 2 < y
, (y-1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1, 1], [3, 3],
[3, 3]]]], [[7, 13, 7, 1, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(0 < x,
x < 1), y < x-u^2+v^2+1, z = z], [regular_chain, [[1/2, 1/2], [3, 3], [1/2, 1/
2], [-9, -9], [0, 0]]]], [[8, 2, 1, 7, 1], [v = 1, u = -3^(1/2), x < -3, And(x
+3 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576,
-3632373/2097152], [-4, -4], [-1/2, -1/2], [-3, -3]]]], [[8, 2, 1, 7, 2], [v =
1, u = -3^(1/2), x < -3, And(x+3 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain
, [[1, 1], [-1816187/1048576, -3632373/2097152], [-4, -4], [-1/2, -1/2], [-\
7846825/4194304, -980853/524288]]]], [[8, 2, 1, 7, 3], [v = 1, u = -3^(1/2), x
< -3, And(x+3 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-4, -4], [-1/2,
-1/2], [0, 0]]]], [[8, 2, 1, 7, 4], [v = 1, u = -3^(1/2), x < -3, And(x+3 < y,
y < 0), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373
/2097152], [-4, -4], [-1/2, -1/2], [980853/524288, 1961707/1048576]]]], [[8, 2
, 1, 7, 5], [v = 1, u = -3^(1/2), x < -3, And(x+3 < y,y < 0), (y-x)^(1/2) < z]
, [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-4, -4], [-1
/2, -1/2], [3, 3]]]], [[8, 7, 10, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 7, 1], [v = 1, And(0 < u,u < 1), 
And(0 < x,x < 1), And(u^2+x < y,y < x-u^2+2), z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[8,
9, 9, 7, 2], [v = 1, And(0 < u,u < 1), And(0 < x,x < 1), And(u^2+x < y,y < x-u
^2+2), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [3/
2, 3/2], [-1, -1]]]], [[8, 9, 9, 7, 3], [v = 1, And(0 < u,u < 1), And(0 < x,x
< 1), And(u^2+x < y,y < x-u^2+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[8, 9,
9, 7, 4], [v = 1, And(0 < u,u < 1), And(0 < x,x < 1), And(u^2+x < y,y < x-u^2+
2), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [3/2, 3
/2], [1, 1]]]], [[8, 9, 9, 7, 5], [v = 1, And(0 < u,u < 1), And(0 < x,x < 1),
And(u^2+x < y,y < x-u^2+2), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1
/2], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[8, 13, 10, 7, 1], [v = 1, And(2^(1/2
) < u,u < 3^(1/2)), x = 1, And(1 < y,y < u^2+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, 7, 2], [v = 1, And(2^(1/2
) < u,u < 3^(1/2)), x = 1, And(1 < y,y < u^2+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,
7, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, And(1 < y,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], [4692109/2097152, 4692109/2097152], [0, 0]]]], [[8,
13, 10, 7, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, And(1 < y,y < u^2+
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, 7, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 1,
And(1 < y,y < u^2+1), (y-1)^(1/2) < z], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [1, 1], [4692109/2097152, 4692109/2097152], [3, 3]]
]], [[8, 15, 7, 6, 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, 6, 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, 6, 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, 5, 10, 9, 1], [And(1 < v,v < 2^(1/
2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, u^2-v^2+2 < y, z < -(y-1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1, 1], [4, 4], [-3, -3]]]], [[9, 5, 10, 9, 2], [And(1 < v,v
< 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, u^2-v^2+2 < y, 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, 9, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x =
1, u^2-v^2+2 < y, 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, 9, 4], [And(1 < v,v < 2^(1
/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, u^2-v^2+2 < y, 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, 9, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, u^2
-v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [1, 1], [4, 4], [3, 3]]]], [[9
, 7, 11, 4, 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, 4
, 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, 4, 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, 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 <
-(-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, 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 = 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, 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 = 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, 6, 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, 6, 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, 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 < x-u^2+v^2+1), z < -(y-x)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [-3, -3], [-8388609/4194304, -8388609/4194304], [-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 < x-u^2+v^2+1), z = -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-3, -3], [-8388609/4194304, -8388609/4194304], [-8388607/8388608, -\
4398045986815/4398046511104]]]], [[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 < x-u^2+v^2
+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576
, 1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [-8388609/
4194304, -8388609/4194304], [-3670015/8796093022208, -3670015/8796093022208]]]
], [[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 < x-u^2+v^2+1), z = (y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-3, -3], [-8388609/4194304, -8388609/4194304], [1048575/1048576, 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 < x-u^2+v^2+1), (y-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-3, -3], [-8388609/4194304, -8388609/4194304], [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(x-u^2+3 < y,y < x), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1/2, -1/2], [-7/
2, -7/2], [0, 0]]]], [[10, 5, 2, 7, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v)
, x = -u^2+1, 0 < y, 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, 7, 2], [v = 2^(1/2), And(-3^(
1/2) < u,u < -v), x = -u^2+1, 0 < y, 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, 7, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -u^2+1, 0
< y, 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, 7,
4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -u^2+1, 0 < y, 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, 7, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v)
, x = -u^2+1, 0 < y, (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, 4, 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], [-426949/524288, -3415591/
4194304], [-2, -2]]]], [[10, 7, 3, 4, 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], [-426949/524288, -3415591/4194304], [-\
1417877/2097152, -354469/524288]]]], [[10, 7, 3, 4, 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], [-426949/
524288, -3415591/4194304], [0, 0]]]], [[10, 7, 3, 4, 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], [-426949/524288, -3415591/
4194304], [354469/524288, 708939/1048576]]]], [[10, 7, 3, 4, 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], [-426949/524288, -3415591/
4194304], [2, 2]]]], [[10, 12, 8, 3, 1], [v = 2^(1/2), u = 1, x = 1, And(0 < y
,y < 1), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1
, 1], [1/2, 1/2], [0, 0]]]], [[10, 14, 6, 7, 1], [v = 2^(1/2), u = v, x = 1, 2
< y, z < -(y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
741455/524288, 1482911/1048576], [1, 1], [3, 3], [-3, -3]]]], [[10, 14, 6, 7,
2], [v = 2^(1/2), u = v, x = 1, 2 < y, 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, 7, 3], [v = 2^(1/2), u
= v, x = 1, 2 < y, 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, 7, 4], [v = 2^(1/2), u = v, x = 1, 2 < y, 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, 7, 5], [v = 2^(1/2), u = v, x = 1, 2 < y, (y-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [1, 1], [3, 3], [3, 3]]]], [[11, 2, 1, 5, 1], [2^(1/2) < v, u = -(v^
2+2)^(1/2), x < -3, And(x < y,y < x+3), z < -(y-x)^(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 < y,y < x
+3), z = -(y-x)^(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 < y,y < x+3), And
(-(y-x)^(1/2) < z,z < (y-x)^(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 < y,y < x+3), z = (y-x)^(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 < y,y < x+3), (y-x)^(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 = x, z < 0], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [1566621/2097152, 1566621/2097152], [
391655/524288, 783311/1048576], [-1, -1]]]], [[11, 3, 9, 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], [1566621/
2097152, 1566621/2097152], [391655/524288, 783311/1048576], [0, 0]]]], [[11, 3
, 9, 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], [1566621/2097152, 1566621/2097152], [391655/524288, 783311/
1048576], [1, 1]]]], [[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(x < y,y < x-u^2+v^2+1), z <
-(y-x)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608]
, [395403/524288, 395403/524288], [4211799/2097152, 4211799/2097152], [-3, -3]
]]], [[11, 9, 9, 7, 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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(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, 7, 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(x < y,y < x-u^2+v^2+1), And(
-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [395403/524288, 395403/524288], [4211799/2097152,
4211799/2097152], [0, 0]]]], [[11, 9, 9, 7, 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(x < y,y < x-u^2+v^2
+1), z = (y-x)^(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, 7, 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(x < y,y < x
-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [395403/524288, 395403/524288], [4211799/2097152, 4211799/
2097152], [3, 3]]]], [[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-u^2+v^2+1, z < -(-u^2+v^2+1)^
(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-657289/
524288, -657289/524288], [133001/524288, 266003/1048576], [-3, -3]]]], [[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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-657289/524288, -657289/524288], [133001/
524288, 266003/1048576], [-1287385/1048576, -160923/131072]]]], [[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-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], [-657289/524288, -\
657289/524288], [133001/524288, 266003/1048576], [0, 0]]]], [[11, 15, 3, 8, 4]
, [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), y = x
-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152
, 6111549/2097152], [-657289/524288, -657289/524288], [133001/524288, 266003/
1048576], [160923/131072, 1287385/1048576]]]], [[11, 15, 3, 8, 5], [2^(1/2) <
v, And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), y = x-u^2+v^2+1, (
-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-657289/524288, -657289/524288], [133001/524288, 266003/1048576], [
3, 3]]]], [[11, 17, 4, 3, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x =
-1, And(-1 < y,y < -u^2+v^2), z < -(y+1)^(1/2)], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-1, -1], [-195745/262144, -195745/262144], [-2
, -2]]]], [[11, 17, 4, 3, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x =
-1, And(-1 < y,y < -u^2+v^2), z = -(y+1)^(1/2)], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-1, -1], [-195745/262144, -195745/262144], [-\
527729/1048576, -1055457/2097152]]]], [[11, 17, 4, 3, 3], [2^(1/2) < v, And(v
< u,u < (v^2+1)^(1/2)), x = -1, And(-1 < y,y < -u^2+v^2), And(-(y+1)^(1/2) < z
,z < (y+1)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [
-1, -1], [-195745/262144, -195745/262144], [-1/4194304, -1/4194304]]]], [[11,
17, 4, 3, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -1, And(-1 < y,y
< -u^2+v^2), z = (y+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851
/131072], [-1, -1], [-195745/262144, -195745/262144], [32983/65536, 527729/
1048576]]]], [[11, 17, 4, 3, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x
= -1, And(-1 < y,y < -u^2+v^2), (y+1)^(1/2) < z], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-1, -1], [-195745/262144, -195745/262144], [2,
2]]]], [[1, 1, 5, 4, 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, 4, 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, 4, 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, 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(-2*u^2+2*v^2 < y,y < -u^2+v^2-\
1), z = z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [
-2615197/1048576, -653799/262144], [-183949995/67108864, -183949995/67108864],
[0, 0]]]], [[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], [-\
657547/262144, -5260375/2097152], [-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], [-657547/262144, -5260375/2097152], [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], [-657547/
262144, -5260375/2097152], [1, 1]]]], [[1, 10, 8, 3, 1], [v < -2^(1/2), u = -(
v^2-2)^(1/2), x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [1, 1], [1/2, 1/2], [0, 0]]]], [[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 < x, z = z], [
regular_chain, [[-3, -3], [3, 3], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[1, 21,
11, 7, 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 < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [16, 16], [49/
2, 49/2], [-4, -4]]]], [[1, 21, 11, 7, 2], [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 = -(y-x)^(1/2)], [regular_chain, [
[-3, -3], [5, 5], [16, 16], [49/2, 49/2], [-24456785/8388608, -1528549/524288]
]]], [[1, 21, 11, 7, 3], [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), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[-3, -3], [5, 5], [16, 16], [49/2, 49/2], [0, 0]]]], [[1, 21, 11, 7, 4], [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 =
(y-x)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [16, 16], [49/2, 49/2], [
1528549/524288, 3057099/1048576]]]], [[1, 21, 11, 7, 5], [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), (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [5, 5], [16, 16], [49/2, 49/2], [4, 4]]]], [[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(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0),
And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = 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, 6, 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, 6, 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
, 6, 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, 6, 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, 5, 1], [v =
-2^(1/2), u = 2, 1 < x, And(x-1 < y,y < 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(0 < y,y < u^2-v^2), z < -(y+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1],
[1550541/2097152, 1550541/2097152], [-3, -3]]]], [[3, 3, 4, 7, 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 < u^2-v^2), z = -(y+1)^(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, 7, 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 < u^2-v^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608
], [-1, -1], [1550541/2097152, 1550541/2097152], [0, 0]]]], [[3, 3, 4, 7, 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 < u^2-v^2), z = (y+1)^(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, 7,
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 < u^2-v^2), (y+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1],
[1550541/2097152, 1550541/2097152], [3, 3]]]], [[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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 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(0 < y,y < x-u^2+v^2+
1), z < -(y-x)^(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, 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(0 <
y,y < x-u^2+v^2+1), z = -(y-x)^(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, 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(0 < y,y < x-u^2+v^2+1), And(-(y-x)^(
1/2) < z,z < (y-x)^(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, 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(0 < y,y < x-u^2+v^2+1), z = (y-x)^(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, 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(0 < y,y < x-u^2+v^2+1), (y-
x)^(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, 4, 2, 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, 2, 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, 2, 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, 2, 5, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -2
, 0 < y, z < -(y+2)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1643659/1048576, 410915/262144], [-2, -2], [1, 1], [-3, -3]]]], [[3
, 14, 2, 5, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -2, 0 < y, z
= -(y+2)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1643659/1048576, 410915/262144], [-2, -2], [1, 1], [-1816187/1048576, -3632373
/2097152]]]], [[3, 14, 2, 5, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2),
x = -2, 0 < y, And(-(y+2)^(1/2) < z,z < (y+2)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-2, -2]
, [1, 1], [-1/4194304, -1/4194304]]]], [[3, 14, 2, 5, 4], [And(-2^(1/2) < v,v
< -1), u = (v^2+1)^(1/2), x = -2, 0 < y, z = (y+2)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-2, -2]
, [1, 1], [908093/524288, 1816187/1048576]]]], [[3, 14, 2, 5, 5], [And(-2^(1/2
) < v,v < -1), u = (v^2+1)^(1/2), x = -2, 0 < y, (y+2)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [-2, -2], [1, 1], [3, 3]]]], [[3, 16, 1, 2, 1], [And(-2^(1/2) < v,v
< -1), u = (v^2+2)^(1/2), x < -3, y = x-1, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-4, -4], [-5, -5
], [0, 0]]]], [[4, 4, 3, 2, 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, 2, 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, 2,
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, 6, 1, 4, 1], [v = -1, u = -1, x < -1, y = x+1, 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 = x+1, 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 = x+1, 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 = x+1,
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 = x+1, 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 < x, z = z], [regular_chain, [[-1, -1], [1, 1], [-1/
2, -1/2], [-2, -2], [0, 0]]]], [[4, 12, 3, 5, 1], [v = -1, u = 2^(1/2), And(-2
< x,x < -1), And(0 < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1],
[741455/524288, 1482911/1048576], [-3/2, -3/2], [1/4, 1/4], [-3, -3]]]], [[4,
12, 3, 5, 2], [v = -1, u = 2^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2), z
= -(y-x)^(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, 5, 3
], [v = -1, u = 2^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2), And(-(y-x)^(1
/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [-3/2, -3/2], [1/4, 1/4], [0, 0]]]], [[4, 12, 3, 5, 4], [v = -1, u =
2^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2), z = (y-x)^(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, 5, 5], [v = -1, u = 2^(1
/2), And(-2 < x,x < -1), And(0 < y,y < x+2), (y-x)^(1/2) < z], [regular_chain,
[[-1, -1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [1/4, 1/4], [3, 3]]
]], [[5, 2, 6, 2, 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, 4, 3, 7, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -1)
, x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072,
-1172343/1048576], [-3/2, -3/2], [2, 2], [-3, -3]]]], [[5, 4, 3, 7, 2], [And(-\
1 < v,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y, z = -(y-x)^(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, 7, 3], [And(-\
1 < v,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y, And(-(y-x)^(1/2
) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-146543/131072, -\
1172343/1048576], [-3/2, -3/2], [2, 2], [0, 0]]]], [[5, 4, 3, 7, 4], [And(-1 <
v,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y, z = (y-x)^(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, 7, 5], [And(-1 < v,v
< 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-3/2, -3/2]
, [2, 2], [3, 3]]]], [[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 < x-u^2+v^2+1, z = z], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [243021/1048576,
243021/1048576], [-2, -2], [0, 0]]]], [[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 < -(y-x)^(1/2
)], [regular_chain, [[-1/2, -1/2], [3, 3], [-43/8, -43/8], [6, 6], [-5, -5]]]]
, [[5, 13, 3, 9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [
3, 3], [-43/8, -43/8], [6, 6], [-884129/262144, -3536515/1048576]]]], [[5, 13,
3, 9, 3], [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, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2
, -1/2], [3, 3], [-43/8, -43/8], [6, 6], [0, 0]]]], [[5, 13, 3, 9, 4], [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
= (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-43/8, -43/8], [6, 6],
[3536515/1048576, 884129/262144]]]], [[5, 13, 3, 9, 5], [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, (y-x)^(1/2) < z]
, [regular_chain, [[-1/2, -1/2], [3, 3], [-43/8, -43/8], [6, 6], [5, 5]]]], [[
6, 5, 7, 3, 1], [v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), And(x < y,y <
0), z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/8, -3/8], [-\
3/16, -3/16], [-2, -2]]]], [[6, 5, 7, 3, 2], [v = 0, And(-1 < u,u < 0), And(u^
2-1 < x,x < 0), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), And(x <
y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [-1
/2, -1/2], [-3/8, -3/8], [-3/16, -3/16], [0, 0]]]], [[6, 5, 7, 3, 4], [v = 0,
And(-1 < u,u < 0), And(u^2-1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = 0, And(-1 < u,u < 0), And(u
^2-1 < x,x < 0), And(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[0, 0],
[-1/2, -1/2], [-3/8, -3/8], [-3/16, -3/16], [2, 2]]]], [[6, 7, 7, 7, 1], [v =
0, And(0 < u,u < 1), And(u^2-1 < x,x < 0), And(x-u^2+1 < y,y < u^2+x+1), z < -
(y-x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [5/8, 5/8], [
-2, -2]]]], [[6, 7, 7, 7, 2], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x < 0),
And(x-u^2+1 < y,y < u^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [1/2
, 1/2], [-3/8, -3/8], [5/8, 5/8], [-1, -1]]]], [[6, 7, 7, 7, 3], [v = 0, And(0
< u,u < 1), And(u^2-1 < x,x < 0), And(x-u^2+1 < y,y < u^2+x+1), And(-(y-x)^(1/
2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [
5/8, 5/8], [0, 0]]]], [[6, 7, 7, 7, 4], [v = 0, And(0 < u,u < 1), And(u^2-1 <
x,x < 0), And(x-u^2+1 < y,y < u^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[0,
0], [1/2, 1/2], [-3/8, -3/8], [5/8, 5/8], [1, 1]]]], [[6, 7, 7, 7, 5], [v = 0,
And(0 < u,u < 1), And(u^2-1 < x,x < 0), And(x-u^2+1 < y,y < u^2+x+1), (y-x)^(1
/2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [5/8, 5/8], [2, 2
]]]], [[6, 11, 5, 2, 1], [v = 0, 2^(1/2) < u, And(-1 < x,x < 0), y = x-u^2+1,
z = z], [regular_chain, [[0, 0], [3, 3], [-1/2, -1/2], [-17/2, -17/2], [0, 0]]
]], [[7, 1, 11, 1, 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], [-1, -1], [0, 0]]]
], [[7, 7, 9, 2, 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, 9, 6, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(0 <
x,x < 1), y = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/
2], [1696631/2097152, 1696631/2097152], [1/2, 1/2], [574353/524288, 1148707/
1048576], [-2, -2]]]], [[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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2], [
574353/524288, 1148707/1048576], [-1618333/2097152, -3236665/4194304]]]], [[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-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], [1/2, 1/2], [
574353/524288, 1148707/1048576], [-1/8388608, -1/8388608]]]], [[7, 9, 9, 6, 4]
, [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = x-u^2
+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152
, 1696631/2097152], [1/2, 1/2], [574353/524288, 1148707/1048576], [404583/
524288, 809167/1048576]]]], [[7, 9, 9, 6, 5], [And(0 < v,v < 1), And(v < u,u <
(v^2+1)^(1/2)), And(0 < x,x < 1), y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2], [
574353/524288, 1148707/1048576], [2, 2]]]], [[7, 10, 9, 3, 1], [And(0 < v,v <
1), u = (v^2+1)^(1/2), 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[1/2,
1/2], [1172343/1048576, 146543/131072], [2, 2], [1, 1], [0, 0]]]], [[7, 12, 6,
6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = 1, u = -2^(1/2), 1 < x, x+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [2, 2], [5, 5], [-\
3, -3]]]], [[8, 4, 9, 7, 2], [v = 1, u = -2^(1/2), 1 < x, x+2 < y, z = -(y-x)^
(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [2, 2], [
5, 5], [-1816187/1048576, -3632373/2097152]]]], [[8, 4, 9, 7, 3], [v = 1, u =
-2^(1/2), 1 < x, x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [2, 2], [5, 5], [-\
1/4194304, -1/4194304]]]], [[8, 4, 9, 7, 4], [v = 1, u = -2^(1/2), 1 < x, x+2
< y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [2, 2], [5, 5], [908093/524288, 1816187/1048576]]]], [[8, 4, 9, 7, 5]
, [v = 1, u = -2^(1/2), 1 < x, x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[1,
1], [-1482911/1048576, -741455/524288], [2, 2], [5, 5], [3, 3]]]], [[8, 7, 1,
8, 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
, 8, 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, 8, 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, 8, 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
, 8, 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, 2,
2, 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], [-1527887/1048576, -763943/524288], [-1, -1]]]], [[8, 11, 2,
2, 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], [-1527887/1048576, -763943/524288], [0, 0]]]], [[8, 11, 2, 2,
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], [-1527887/1048576, -763943/524288], [1, 1]]]], [[8, 13, 1, 5, 1], [v
= 1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, And(x < y,y < u^2+x), z < -(y-x)^
(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-4, -4],
[-11587301/4194304, -11587301/4194304], [-3, -3]]]], [[8, 13, 1, 5, 2], [v = 1
, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, And(x < y,y < u^2+x), z = -(y-x)^(1/
2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-4, -4], [-\
11587301/4194304, -11587301/4194304], [-1166407/1048576, -583203/524288]]]], [
[8, 13, 1, 5, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, And(x < y,y
< u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [-4, -4], [-11587301/4194304, -11587301/
4194304], [0, 0]]]], [[8, 13, 1, 5, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)),
x < -u^2, And(x < y,y < u^2+x), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [-4, -4], [-11587301/4194304, -11587301/
4194304], [583203/524288, 1166407/1048576]]]], [[8, 13, 1, 5, 5], [v = 1, And(
2^(1/2) < u,u < 3^(1/2)), x < -u^2, And(x < y,y < u^2+x), (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-4, -4], [-\
11587301/4194304, -11587301/4194304], [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 =
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, 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 = 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, 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 = 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, 6, 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, 6, 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, 9, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x < -
u^2+v^2-1, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [1, 1], [-3,
-3]]]], [[9, 5, 1, 9, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u <
-v), x < -u^2+v^2-1, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [1,
1], [-2, -2]]]], [[9, 5, 1, 9, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2)
< u,u < -v), x < -u^2+v^2-1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3, -3], [1, 1], [0, 0]]]], [[9, 5, 1, 9, 4], [And(1 < v,v
< 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, 0 < y, z = (y-x)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304,
-5818805/4194304], [-3, -3], [1, 1], [2, 2]]]], [[9, 5, 1, 9, 5], [And(1 < v,v
< 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, 0 < y, (y-x)^(1/2)
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304,
-5818805/4194304], [-3, -3], [1, 1], [3, 3]]]], [[9, 11, 10, 5, 1], [And(1 < v
,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 1, And(1 < y,y < u^2-v^2+2),
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(1 < y,y < u^2-v^2+2), 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(1 < 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], [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(1 < y
,y < u^2-v^2+2), 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(1 < y,y < u^2-v^2+2), (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 = x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [2, 2], [2, 2], [-1, -1]]]], [[9, 13, 11, 4
, 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, 4, 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, 3, 5, 1], [v = 2^(1/2), u = -2, And(-3 < x,x <
-1), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z =
(y-x)^(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(x < y,y < 0), (y-x)^(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 = u^2+x-1, z < -(u^2-1)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [2, 2], [4699771/1048576, 1174943/262144], [-3, -3]]]], [[10
, 3, 11, 8, 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], [4699771/1048576, 1174943/262144],
[-825991/524288, -3303963/2097152]]]], [[10, 3, 11, 8, 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], [4699771/1048576, 1174943/262144], [-1/4194304, -1/
4194304]]]], [[10, 3, 11, 8, 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], [4699771/1048576, 
1174943/262144], [1651981/1048576, 825991/524288]]]], [[10, 3, 11, 8, 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], [4699771/1048576, 1174943/262144], [3, 3]]]], [[10, 8, 1, 2,
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, 2, 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, 2, 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, 5, 1], [v = 2^(1/2), And(-1 < u,u < 0), 1 < x, And(u^2+x-1 < y,y < x)
, 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 = 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, 4, 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, 4, 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, 5, 1], [v =
2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), z < -(
y-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [505467/1048576, 126367/262144], [1806777/1048576,
1806777/1048576], [-3, -3]]]], [[10, 17, 8, 5, 2], [v = 2^(1/2), And(3^(1/2) <
u,u < 2), x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), z = -(y-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [505467/1048576, 126367/262144], [1806777/1048576, 1806777/1048576],
[-4563/4096, -1168127/1048576]]]], [[10, 17, 8, 5, 3], [v = 2^(1/2), And(3^(1/
2) < u,u < 2), x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), And(-(y-u^2+3)^(1/2) < z
,z < (y-u^2+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
3913339/2097152, 3913339/2097152], [505467/1048576, 126367/262144], [1806777/
1048576, 1806777/1048576], [0, 0]]]], [[10, 17, 8, 5, 4], [v = 2^(1/2), And(3^
(1/2) < u,u < 2), x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), z = (y-u^2+3)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [505467/1048576, 126367/262144], [1806777/1048576, 1806777/1048576],
[1168127/1048576, 4563/4096]]]], [[10, 17, 8, 5, 5], [v = 2^(1/2), And(3^(1/2)
< u,u < 2), x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), (y-u^2+3)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [505467/1048576, 126367/262144], [1806777/1048576, 1806777/1048576],
[3, 3]]]], [[10, 18, 6, 2, 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, 3, 7, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-u^2+v^2-1 <
x,x < -1), And(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[3,
3], [-5, -5], [-9, -9], [4, 4], [-5, -5]]]], [[11, 1, 3, 7, 2], [2^(1/2) < v,
u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2+x+1), z
= -(y-x)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-9, -9], [4, 4], [-\
3780695/1048576, -7561389/2097152]]]], [[11, 1, 3, 7, 3], [2^(1/2) < v, u < -(
v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2+x+1), And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-5, -5], [-9, -9], [
4, 4], [-1/4194304, -1/4194304]]]], [[11, 1, 3, 7, 4], [2^(1/2) < v, u < -(v^2
+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2+x+1), z = (y-x)^(
1/2)], [regular_chain, [[3, 3], [-5, -5], [-9, -9], [4, 4], [1890347/524288, 
3780695/1048576]]]], [[11, 1, 3, 7, 5], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(
-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-5, -5], [-9, -9], [4, 4], [5, 5]]]], [[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 = x, z < 0]
, [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3, -3], [-3
, -3], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-3, -3], [-3, -3], [0, 0]]]], [[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 = x, 0 < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3, -3], [-3, -\
3], [1, 1]]]], [[11, 8, 9, 3, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), 1 < x, And
(0 < y,y < x), z = z], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [2, 2], [1, 1], [0, 0]]]], [[11, 12, 4, 5, 1], [2^(1/2) < v, u = (v^
2-2)^(1/2), x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z =
-(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) <
z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1
< y,y < 0), (y+1)^(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 < -2, z = z], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [-2, -2], [-3, -3], [0, 0]]]], [[11, 20, 1, 3, 1], [
2^(1/2) < v, u = (v^2+2)^(1/2), x < -3, And(x-1 < y,y < x), z = z], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-4, -4], [-9/2, -9
/2], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[3, 3], [5, 5], [8, 8], [8, 8
], [-1, -1]]]], [[11, 21, 9, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v <
-2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 1, And(1 < y,y < -u^2+v^2+2), z <
-(y-1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1
, 1], [328543/262144, 328543/262144], [-2, -2]]]], [[1, 5, 10, 5, 2], [v < -2^
(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 1, And(1 < y,y < -u^2+v^2+2), z = -(
y-1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1,
1], [328543/262144, 328543/262144], [-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(1 <
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], [328543/262144, 328543/
262144], [-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(1 < y,y < -u^2+v^2+2), z = (y-1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1, 1], [328543/
262144, 328543/262144], [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(1 < y,y < -u^2+v^2+2),
(y-1)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072],
[1, 1], [328543/262144, 328543/262144], [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 = 1, z < 0], [
regular_chain, [[-3, -3], [0, 0], [1, 1], [1, 1], [-1, -1]]]], [[1, 11, 8, 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, 8
, 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, 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(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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(u^2-v^2-1 < y,y < 0), z < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-531193/1048576, -\
1062385/2097152], [-1062385/4194304, -1062385/4194304], [-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(u^2
-v^2-1 < y,y < 0), z = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-531193/1048576, -1062385/2097152], [-1062385/
4194304, -1062385/4194304], [-1055459/2097152, -527729/1048576]]]], [[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(u^2-
v^2-1 < y,y < 0), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-531193/1048576, -\
1062385/2097152], [-1062385/4194304, -1062385/4194304], [0, 0]]]], [[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(u^2-v^
2-1 < y,y < 0), z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-531193/1048576, -1062385/2097152], [-1062385/4194304
, -1062385/4194304], [527729/1048576, 263865/524288]]]], [[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(u^2-v^2-1 < y,y
< 0), (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [-531193/1048576, -1062385/2097152], [-1062385/4194304, -\
1062385/4194304], [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 = x-u^2+v^2+1, z = z], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [-\
133418519/134217728, -66709259/67108864], [0, 0]]]], [[2, 3, 6, 7, 1], [v = -2
^(1/2), And(-2 < u,u < -3^(1/2)), x = 0, u^2-1 < y, z < -y^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [0, 0], [4, 4], [-3, -3]]]], [[2, 3, 6, 7, 2], [v = -2^(1/2)
, And(-2 < u,u < -3^(1/2)), x = 0, u^2-1 < y, z = -y^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [0,
0], [4, 4], [-2, -2]]]], [[2, 3, 6, 7, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1
/2)), x = 0, u^2-1 < y, 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, 7, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2))
, x = 0, u^2-1 < y, z = y^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [0, 0], [4, 4], [2, 2]]]], [[2,
3, 6, 7, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0, u^2-1 < y, y^(1/2
) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152
, -3913339/2097152], [0, 0], [4, 4], [3, 3]]]], [[2, 5, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 4, 5, 1], [v = -2^(1/2), u = v, x = 0, 1 < y, z < -y^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [0,
0], [2, 2], [-3, -3]]]], [[2, 6, 4, 5, 2], [v = -2^(1/2), u = v, x = 0, 1 < y,
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, 5, 3], [v = -2^(1/2), u = v, x = 0, 1 < y, 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, 5, 4], [v = -2
^(1/2), u = v, x = 0, 1 < y, 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, 5, 5], [v = -2^(1/2), u = v, x = 0, 1
< y, y^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1482911/1048576, -741455/524288], [0, 0], [2, 2], [3, 3]]]], [[2, 8, 5, 2, 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, 2, 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, 2, 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, 11, 8, 1], [v = -2^(
1/2), And(1 < u,u < -v), 1 < x, y = x-u^2+3, z < -(-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [2, 2], [3714993/1048576, 1857497/524288], [-3, -3]]]], [[2, 13, 11,
8, 2], [v = -2^(1/2), And(1 < u,u < -v), 1 < x, y = x-u^2+3, z = -(-u^2+3)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 
1265743/1048576], [2, 2], [3714993/1048576, 1857497/524288], [-1302471/1048576
, -651235/524288]]]], [[2, 13, 11, 8, 3], [v = -2^(1/2), And(1 < u,u < -v), 1
< x, y = x-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], [2,
2], [3714993/1048576, 1857497/524288], [0, 0]]]], [[2, 13, 11, 8, 4], [v = -2^
(1/2), And(1 < u,u < -v), 1 < x, y = x-u^2+3, z = (-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [2, 2], [3714993/1048576, 1857497/524288], [651235/524288, 1302471/
1048576]]]], [[2, 13, 11, 8, 5], [v = -2^(1/2), And(1 < u,u < -v), 1 < x, y =
x-u^2+3, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [2, 2], [3714993/1048576, 1857497
/524288], [3, 3]]]], [[2, 16, 1, 3, 1], [v = -2^(1/2), u = 3^(1/2), x < -2, 
And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [908093/524288, 1816187/1048576], [-3, -3], [-2, -2], [-2, -2]
]]], [[2, 16, 1, 3, 2], [v = -2^(1/2), u = 3^(1/2), x < -2, And(x < y,y < x+2)
, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
908093/524288, 1816187/1048576], [-3, -3], [-2, -2], [-1, -1]]]], [[2, 16, 1,
3, 3], [v = -2^(1/2), u = 3^(1/2), x < -2, And(x < y,y < x+2), And(-(y-x)^(1/2
) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288],
[908093/524288, 1816187/1048576], [-3, -3], [-2, -2], [0, 0]]]], [[2, 16, 1, 3
, 4], [v = -2^(1/2), u = 3^(1/2), x < -2, And(x < y,y < x+2), z = (y-x)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187
/1048576], [-3, -3], [-2, -2], [1, 1]]]], [[2, 16, 1, 3, 5], [v = -2^(1/2), u
= 3^(1/2), x < -2, And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-3, -3],
[-2, -2], [2, 2]]]], [[2, 19, 9, 5, 1], [v = -2^(1/2), 2 < u, And(1 < x,x < u^
2-3), And(0 < y,y < x), 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 = -1, z < 0], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [
-1, -1], [-1, -1], [-1, -1]]]], [[3, 2, 4, 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, 4, 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, 8, 3,
2, 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,
2, 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, 2,
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, 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(x < y,y
< u^2-v^2+x+1), z < -(y-x)^(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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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(x < y,y < u^
2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2-v^2+x+1), z = (y-x)^(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(x < y,y < u^2-v^2+x+1), (y-x)^(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 = 0, z = z], [regular_chain, [[-1, -1], [-3, -3], [1/2, 1/2], [0, 0], [0,
0]]]], [[4, 7, 5, 3, 1], [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And
(x < y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2],
[-5/8, -5/8], [-1/2, -1/2], [-2, -2]]]], [[4, 7, 5, 3, 2], [v = -1, And(-1 < u
,u < 0), And(-1 < x,x < -u^2), And(x < y,y < u^2+x), z = -(y-x)^(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, 3, 3], [v = -1, And(-1 < u,u < 0), And
(-1 < x,x < -u^2), And(x < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [-1/2, -1/2], [0, 0]
]]], [[4, 7, 5, 3, 4], [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(x
< y,y < u^2+x), z = (y-x)^(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, 3, 5],
[v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(x < y,y < u^2+x), (y-x)^
(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [-1/2, -1/2
], [2, 2]]]], [[4, 9, 4, 2, 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, 2, 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
, 2, 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, 2, 1], [v = -1
, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), y = x-u^2+2, z = z], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [-\
8176749/8388608, -32706995/33554432], [0, 0]]]], [[4, 15, 2, 1, 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], [-17, -17], [0, 0]]]], [[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 = x-u^2+v^2+1, z < -(-u^2
+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [-1672995/2097152, -1672995/2097152], [-212079/1048576, -106039/
524288], [-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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2
)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-\
1672995/2097152, -1672995/2097152], [-212079/1048576, -106039/524288], [-\
1618333/2097152, -3236665/4194304]]]], [[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 = x-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], [-1672995/2097152, -1672995/2097152]
, [-212079/1048576, -106039/524288], [-1/8388608, -1/8388608]]]], [[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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[-1696631/2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152], [-\
212079/1048576, -106039/524288], [404583/524288, 809167/1048576]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/
2], [-1696631/2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152]
, [-212079/1048576, -106039/524288], [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-u^2+v^2+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, 8, 2], [And(-1 < v,v < 0), And(v < u,u < -v), 
And(-1 < x,x < -u^2+v^2-1), y = x-u^2+v^2+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, 8, 3], [And(-1 < v,v < 0), And(v < u,
u < -v), And(-1 < x,x < -u^2+v^2-1), y = x-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], [-7/8, -7
/8], [3/8, 3/8], [0, 0]]]], [[5, 7, 5, 8, 4], [And(-1 < v,v < 0), And(v < u,u
< -v), And(-1 < x,x < -u^2+v^2-1), y = x-u^2+v^2+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, 8, 5], [And(-1 < v,v < 0), And(v < u,u
< -v), And(-1 < x,x < -u^2+v^2-1), y = x-u^2+v^2+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, 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+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, 6, 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, 6, 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, 6, 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, 6, 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, 8, 1, 1], [v = 0, u = -2^(1/2), x = 1, y < 0, z = z], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [1, 1], [-1, -1],
[0, 0]]]], [[6, 4, 6, 1, 1], [v = 0, u = -1, x = 0, y < 0, z = z], [
regular_chain, [[0, 0], [-1, -1], [0, 0], [-1, -1], [0, 0]]]], [[6, 8, 7, 5, 1
], [v = 0, u = 1, And(0 < x,x < 1), And(x < y,y < x+2), z < -(y-x)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[6, 8, 7
, 5, 2], [v = 0, u = 1, And(0 < x,x < 1), And(x < y,y < x+2), z = -(y-x)^(1/2)
], [regular_chain, [[0, 0], [1, 1], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]], [[6,
8, 7, 5, 3], [v = 0, u = 1, And(0 < x,x < 1), And(x < y,y < x+2), And(-(y-x)^(
1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [1, 1], [1/2, 1/2], [3/2,
3/2], [0, 0]]]], [[6, 8, 7, 5, 4], [v = 0, u = 1, And(0 < x,x < 1), And(x < y,
y < x+2), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [1, 1], [1/2, 1/2], [3/2,
3/2], [1, 1]]]], [[6, 8, 7, 5, 5], [v = 0, u = 1, And(0 < x,x < 1), And(x < y,
y < x+2), (y-x)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [1/2, 1/2], [3/2,
3/2], [2, 2]]]], [[6, 10, 4, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 7, 7, 1], [And(0 < v,v
< 1), u = -(v^2+1)^(1/2), And(0 < x,x < 1), x+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [1/2, 1/2], [4
, 4], [-3, -3]]]], [[7, 4, 7, 7, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), 
And(0 < x,x < 1), x+2 < y, z = -(y-x)^(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, 7, 3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), 
And(0 < x,x < 1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [1/2, 1/2], [4
, 4], [0, 0]]]], [[7, 4, 7, 7, 4], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(
0 < x,x < 1), x+2 < y, z = (y-x)^(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, 7, 5], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(0 <
x,x < 1), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-146543/
131072, -1172343/1048576], [1/2, 1/2], [4, 4], [3, 3]]]], [[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 < -y^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [0, 0], [39/
8, 39/8], [-4, -4]]]], [[7, 13, 6, 5, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u
, x = 0, And(0 < y,y < u^2-v^2+1), 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, 5, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = 0, And(0 < y,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]
, [39/8, 39/8], [0, 0]]]], [[7, 13, 6, 5, 4], [And(0 < v,v < 1), (v^2+2)^(1/2)
< u, x = 0, And(0 < y,y < u^2-v^2+1), 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, 5, 5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = 0, And(0 < y,y < u^2-v^2
+1), y^(1/2) < z], [regular_chain, [[1/2, 1/2], [3, 3], [0, 0], [39/8, 39/8],
[4, 4]]]], [[8, 2, 1, 8, 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, 8, 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, 8, 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, 8,
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, 8, 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, 7, 10, 7, 1], [v = 1, And(-1 < u,u < 0), x = 1, And(u^2+1 < y,y < -u^2+3)
, z < -(y-1)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [2, 2], [-\
2, -2]]]], [[8, 7, 10, 7, 2], [v = 1, And(-1 < u,u < 0), x = 1, And(u^2+1 < y,
y < -u^2+3), z = -(y-1)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1],
[2, 2], [-1, -1]]]], [[8, 7, 10, 7, 3], [v = 1, And(-1 < u,u < 0), 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], [-1/2, -1/2], [1, 1], [2, 2], [0, 0]]]], [[8, 7, 10, 7, 4], [v = 1, 
And(-1 < u,u < 0), x = 1, And(u^2+1 < y,y < -u^2+3), z = (y-1)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [2, 2], [1, 1]]]], [[8, 7, 10, 7
, 5], [v = 1, And(-1 < u,u < 0), x = 1, And(u^2+1 < y,y < -u^2+3), (y-1)^(1/2)
< z], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [2, 2], [2, 2]]]], [[8, 9
, 10, 1, 1], [v = 1, And(0 < u,u < 1), x = 1, y < 0, z = z], [regular_chain, [
[1, 1], [1/2, 1/2], [1, 1], [-1, -1], [0, 0]]]], [[8, 13, 10, 4, 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], [275385/524288, 550771/1048576
], [0, 0]]]], [[8, 15, 7, 7, 1], [v = 1, 3^(1/2) < u, And(0 < x,x < 1), And(x
< y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [3, 3], [1/2, 1/2]
, [5, 5], [-4, -4]]]], [[8, 15, 7, 7, 2], [v = 1, 3^(1/2) < u, And(0 < x,x < 1
), And(x < y,y < u^2+x), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [3, 3], [
1/2, 1/2], [5, 5], [-1112183/524288, -2224365/1048576]]]], [[8, 15, 7, 7, 3],
[v = 1, 3^(1/2) < u, And(0 < x,x < 1), And(x < y,y < u^2+x), And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [3, 3], [1/2, 1/2], [5, 5], [0
, 0]]]], [[8, 15, 7, 7, 4], [v = 1, 3^(1/2) < u, And(0 < x,x < 1), And(x < y,y
< u^2+x), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [3, 3], [1/2, 1/2], [5, 5
], [2224365/1048576, 1112183/524288]]]], [[8, 15, 7, 7, 5], [v = 1, 3^(1/2) <
u, And(0 < x,x < 1), And(x < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [
[1, 1], [3, 3], [1/2, 1/2], [5, 5], [4, 4]]]], [[9, 5, 10, 8, 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], [646847/262144, 2587389/1048576], [-3, -3]
]]], [[9, 5, 10, 8, 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], [
646847/262144, 2587389/1048576], [-1270261/1048576, -317565/262144]]]], [[9, 5
, 10, 8, 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], [646847/262144, 2587389/1048576], [0, 0]]]], [[9, 5,
10, 8, 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], [646847/262144, 
2587389/1048576], [317565/262144, 1270261/1048576]]]], [[9, 5, 10, 8, 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], [646847/262144, 2587389/1048576],
[3, 3]]]], [[9, 7, 11, 7, 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-u^2+v^2+1), z < -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [3, 3], [-2, -2]]]], [[9, 7, 11, 7, 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-u
^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [3, 3], [-1, -1]]]], [
[9, 7, 11, 7, 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-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [3, 3], [0, 0]]]], [[9, 7, 11, 7, 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-u^2
+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-3949363/4194304, -3949363/4194304], [2, 2], [3, 3], [1, 1]]]], [[9, 7, 11,
7, 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-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [3, 3
], [2, 2]]]], [[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(2*u^2-2*v^2 < y,y < u^2-v^2-1), z = z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-2576463/
1048576, -1288231/524288], [-45057891/16777216, -45057891/16777216], [0, 0]]]]
, [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3],
[-374737/262144, -1498947/1048576], [-3, -3]]]], [[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 = x-u^2+v^2+1, z
= -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-3, -3], [-374737/262144, -1498947/1048576],
[-1314069/1048576, -328517/262144]]]], [[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 = x-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], [-3, -3], [-374737/262144,
-1498947/1048576], [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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [-3, -3], [-374737/262144, -1498947/1048576], [328517/262144,
1314069/1048576]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-3, -3], [-374737/262144, -1498947/1048576], [3, 3]]]], [[9, 16, 8,
3, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 1, And(0 < y,y < 1), z
= z], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 
1949649/1048576], [1, 1], [1/2, 1/2], [0, 0]]]], [[10, 1, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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], [-15929805/16777216, -3982451/4194304], [-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], [-\
15929805/16777216, -3982451/4194304], [-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], [-15929805/16777216, -3982451/4194304], [-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], [-15929805/16777216, -3982451/4194304], [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], [-15929805/16777216, -3982451/4194304], [2, 2]]]], [[10, 7, 3,
5, 1], [v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), And(u^2+x-1 <
y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [-1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152],
[-3415591/8388608, -3415591/8388608], [-2, -2]]]], [[10, 7, 3, 5, 2], [v = 2^(
1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), And(u^2+x-1 < y,y < 0), z = -
(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152], [-3415591/
8388608, -3415591/8388608], [-3899297/4194304, -7798593/8388608]]]], [[10, 7,
3, 5, 3], [v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), And(u^2+x-1
< y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-2666417/
2097152, -2666417/2097152], [-3415591/8388608, -3415591/8388608], [-1/16777216
, -1/16777216]]]], [[10, 7, 3, 5, 4], [v = 2^(1/2), And(-v < u,u < -1), And(u^
2-3 < x,x < -1), And(u^2+x-1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
2666417/2097152, -2666417/2097152], [-3415591/8388608, -3415591/8388608], [
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(u^2+x-1 < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-2666417/2097152, -2666417/2097152], [-3415591/8388608, -3415591/
8388608], [2, 2]]]], [[10, 12, 8, 2, 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, 7, 3, 1], [v = 2^(1/2), u = v, 1 < x, And(0 < y,y < x)
, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 
1482911/1048576], [2, 2], [1, 1], [0, 0]]]], [[11, 2, 1, 4, 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, 4, 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, 4, 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, 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 < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [1566621/2097152
, 1566621/2097152], [5, 5], [-4, -4]]]], [[11, 3, 9, 9, 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), u^2-v^2+x+1
< y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [1566621/2097152, 1566621/2097152], [5, 5], [-540613/262144, -\
2162451/1048576]]]], [[11, 3, 9, 9, 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), u^2-v^2+x+1 < y, And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [1566621/2097152, 1566621/2097152], [5, 5], [0, 0]]]], [[11, 3, 9, 9
, 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), u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [1566621/2097152, 1566621/2097152], [5, 5]
, [2162451/1048576, 540613/262144]]]], [[11, 3, 9, 9, 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), u^2-v^2+x+1 <
y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [1566621/2097152, 1566621/2097152], [5, 5], [4, 4]]]], [[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 = u^2-v^2+x+1, z = z], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [395403/524288, 395403/524288], [128885/524288, 
257771/1048576], [0, 0]]]], [[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 < -y^(1/2)], [
regular_chain, [[3, 3], [0, 0], [0, 0], [5, 5], [-4, -4]]]], [[11, 11, 6, 5, 2
], [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 = -y^(1/2)], [regular_chain, [[3, 3], [0, 0], [0, 0], [5, 5],
[-146543/65536, -2344687/1048576]]]], [[11, 11, 6, 5, 3], [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), And(-y^
(1/2) < z,z < y^(1/2))], [regular_chain, [[3, 3], [0, 0], [0, 0], [5, 5], [0,
0]]]], [[11, 11, 6, 5, 4], [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 = y^(1/2)], [regular_chain, [[3, 3],
[0, 0], [0, 0], [5, 5], [2344687/1048576, 146543/65536]]]], [[11, 11, 6, 5, 5]
, [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), y^(1/2) < z], [regular_chain, [[3, 3], [0, 0], [0, 0], [5, 5],
[4, 4]]]], [[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(0 < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-657289/524288, -\
657289/524288], [133001/1048576, 133001/1048576], [-3, -3]]]], [[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
(0 < y,y < x-u^2+v^2+1), z = -(y-x)^(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, 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(0 < y
,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3
, 3], [6111549/2097152, 6111549/2097152], [-657289/524288, -657289/524288], [
133001/1048576, 133001/1048576], [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(0 < y,y < x-u^2+v
^2+1), z = (y-x)^(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, 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(0 < y,y < x-u^2+v^2+1),
(y-x)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152],
[-657289/524288, -657289/524288], [133001/1048576, 133001/1048576], [3, 3]]]],
[[11, 17, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), 
And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^
(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z =
(y-x)^(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(x < y,y < 0), (y-x)^(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], [-2615197/1048576, -653799/262144], [-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], [-\
2615197/1048576, -653799/262144], [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], [-2615197/1048576, -653799/262144], [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(2*u^2-2*v^2 < y,y < u^2-v^2-1), z = z], [regular_chain, [
[-3, -3], [-22960369/8388608, -22960369/8388608], [-657547/262144, -5260375/
2097152], [-5793411/2097152, -5793411/2097152], [0, 0]]]], [[1, 10, 8, 2, 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, 14,
4, 5, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -1, And(0 < y,y < 1), z < -(y+
1)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1, -\
1], [1/2, 1/2], [-3, -3]]]], [[1, 14, 4, 5, 2], [v < -2^(1/2), u = (v^2-1)^(1/
2), x = -1, And(0 < y,y < 1), z = -(y+1)^(1/2)], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [-1, -1], [1/2, 1/2], [-1284239/1048576, -\
642119/524288]]]], [[1, 14, 4, 5, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -1
, And(0 < y,y < 1), And(-(y+1)^(1/2) < z,z < (y+1)^(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
= (y+1)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [
-1, -1], [1/2, 1/2], [642119/524288, 1284239/1048576]]]], [[1, 14, 4, 5, 5], [
v < -2^(1/2), u = (v^2-1)^(1/2), x = -1, And(0 < y,y < 1), (y+1)^(1/2) < z], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1, -1], [1/2, 1/
2], [3, 3]]]], [[1, 16, 3, 2, 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, 2, 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, 2, 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, 11, 6, 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, 6, 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,
6, 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, 3,
1], [v = -2^(1/2), u = -2, x = 0, And(-1 < y,y < 0), z = z], [regular_chain, [
[-1482911/1048576, -741455/524288], [-2, -2], [0, 0], [-1/2, -1/2], [0, 0]]]],
[[2, 9, 6, 5, 1], [v = -2^(1/2), And(-1 < u,u < 0), x = 0, And(0 < y,y < -u^2+
3), 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, 5, 2], [v = -2^(1/2), And
(-1 < u,u < 0), x = 0, And(0 < y,y < -u^2+3), 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, 5, 3], [v = -2^(1/2), And(-1 <
u,u < 0), x = 0, And(0 < y,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], [11/
8, 11/8], [0, 0]]]], [[2, 9, 6, 5, 4], [v = -2^(1/2), And(-1 < u,u < 0), x = 0
, And(0 < y,y < -u^2+3), 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, 5, 5], [v = -2^(1/2), And(-1 < u,u < 0), x = 0, And(0
< y,y < -u^2+3), 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 5, 1], [v = -2^(1/2), And
(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), And(x < y,y < 0), z < -(y-x)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 
3913339/2097152], [-3651195/2097152, -3651195/2097152], [-3651195/4194304, -\
3651195/4194304], [-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(x < y,y < 0), z = -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-3651195/2097152, -3651195/2097152], [-3651195/4194304, -3651195/
4194304], [-3913339/4194304, -7826677/8388608]]]], [[2, 17, 3, 5, 3], [v = -2^
(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), And(x < y,y < 0), And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455
/524288], [3913339/2097152, 3913339/2097152], [-3651195/2097152, -3651195/
2097152], [-3651195/4194304, -3651195/4194304], [-5/16777216, -5/16777216]]]],
[[2, 17, 3, 5, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -\
1), And(x < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3913339/2097152, 3913339/2097152], [-3651195/2097152, -\
3651195/2097152], [-3651195/4194304, -3651195/4194304], [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(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-\
3651195/2097152, -3651195/2097152], [-3651195/4194304, -3651195/4194304], [2,
2]]]], [[2, 18, 9, 4, 1], [v = -2^(1/2), u = 2, 1 < x, y = x-1, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [2, 2], [1, 1], [0
, 0]]]], [[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 < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1, -1], [1550541/1048576, 775271/524288], [-3, -3]]]], [[
3, 3, 4, 8, 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], [1550541/1048576, 775271/524288], [-3301741/2097152, -825435/524288]]]
], [[3, 3, 4, 8, 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], [1550541/1048576, 775271/524288], [0, 0
]]]], [[3, 3, 4, 8, 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], [1550541/1048576, 775271/524288], [825435/524288, 1650871/1048576]]]
], [[3, 3, 4, 8, 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], [1550541/1048576, 775271/524288], [3, 3]]]], [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 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
(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), z =
(y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), (y-x)^(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,
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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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,
1, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y < -\
1, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-1, -1], [-2, -2], [0, 0]]]], [[3, 14, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 1, 1], [And(-2^(1/2) < v,v
< -1), u = (v^2+2)^(1/2), x < -3, y < x-1, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-4, -4], [-6, -6
], [0, 0]]]], [[4, 4, 3, 3, 1], [v = -1, u = -2^(1/2), And(-2 < x,x < -1), And
(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576
, -741455/524288], [-3/2, -3/2], [-3/4, -3/4], [-2, -2]]]], [[4, 4, 3, 3, 2],
[v = -1, u = -2^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v =
-1, u = -2^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z
< (y-x)^(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, 3, 4], [
v = -1, u = -2^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = -1, u
= -2^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3/2, -3/2], [-\
3/4, -3/4], [2, 2]]]], [[4, 6, 1, 5, 1], [v = -1, u = -1, x < -1, And(x+1 < y,
y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [-2, -2], [-1/
2, -1/2], [-3, -3]]]], [[4, 6, 1, 5, 2], [v = -1, u = -1, x < -1, And(x+1 < y,
y < 0), z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [-2, -2], [-1/
2, -1/2], [-1284239/1048576, -642119/524288]]]], [[4, 6, 1, 5, 3], [v = -1, u
= -1, x < -1, And(x+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1, -1], [-1, -1], [-2, -2], [-1/2, -1/2], [0, 0]]]], [[4, 6,
1, 5, 4], [v = -1, u = -1, x < -1, And(x+1 < y,y < 0), z = (y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1, -1], [-2, -2], [-1/2, -1/2], [642119/524288, 
1284239/1048576]]]], [[4, 6, 1, 5, 5], [v = -1, u = -1, x < -1, And(x+1 < y,y
< 0), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1, -1], [-2, -2], [-1/2,
-1/2], [3, 3]]]], [[4, 10, 2, 5, 1], [v = -1, u = 1, x = -1, 0 < y, z < -(y+1)
^(1/2)], [regular_chain, [[-1, -1], [1, 1], [-1, -1], [1, 1], [-3, -3]]]], [[4
, 10, 2, 5, 2], [v = -1, u = 1, x = -1, 0 < y, z = -(y+1)^(1/2)], [
regular_chain, [[-1, -1], [1, 1], [-1, -1], [1, 1], [-1482911/1048576, -741455
/524288]]]], [[4, 10, 2, 5, 3], [v = -1, u = 1, x = -1, 0 < y, And(-(y+1)^(1/2
) < z,z < (y+1)^(1/2))], [regular_chain, [[-1, -1], [1, 1], [-1, -1], [1, 1],
[0, 0]]]], [[4, 10, 2, 5, 4], [v = -1, u = 1, x = -1, 0 < y, z = (y+1)^(1/2)],
[regular_chain, [[-1, -1], [1, 1], [-1, -1], [1, 1], [741455/524288, 1482911/
1048576]]]], [[4, 10, 2, 5, 5], [v = -1, u = 1, x = -1, 0 < y, (y+1)^(1/2) < z
], [regular_chain, [[-1, -1], [1, 1], [-1, -1], [1, 1], [3, 3]]]], [[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(-1 < y,y < 0), z = z], [regular_chain, [[-1/2, -1/2
], [-3/2, -3/2], [0, 0], [-1/2, -1/2], [0, 0]]]], [[5, 4, 4, 1, 1], [And(-1 <
v,v < 0), u = -(v^2+1)^(1/2), x = -1, y < -1, z = z], [regular_chain, [[-1/2,
-1/2], [-146543/131072, -1172343/1048576], [-1, -1], [-2, -2], [0, 0]]]], [[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 < -y^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [0, 0], [4, 4], [-3, -3]]]], [[5, 11, 6, 7, 2], [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 = -y^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144],
[0, 0], [4, 4], [-2, -2]]]], [[5, 11, 6, 7, 3], [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, 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, 7, 4], [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 = y^(1/2)], [regular_chain, [[-1
/2, -1/2], [343151/262144, 343151/262144], [0, 0], [4, 4], [2, 2]]]], [[5, 11,
6, 7, 5], [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, y^(1/2) < z], [regular_chain, [[-1/2, -1/2], [343151/262144, 
343151/262144], [0, 0], [4, 4], [3, 3]]]], [[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 < -(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, 8, 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, 8, 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, 8, 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, 8, 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, 7, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 7, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 1, 1], [v = 0
, 2^(1/2) < u, And(-1 < x,x < 0), y < x-u^2+1, z = z], [regular_chain, [[0, 0]
, [3, 3], [-1/2, -1/2], [-10, -10], [0, 0]]]], [[7, 1, 10, 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 < -(y-u^2+v^2+1)^(
1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [31/4, 31/4], [19, 19], [-5, -5]
]]], [[7, 1, 10, 7, 2], [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 = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3,
-3], [31/4, 31/4], [19, 19], [-3517031/1048576, -1758515/524288]]]], [[7, 1, 
10, 7, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = u^2-v^2-1, 2*u^2-2*v^2 <
y, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[1
/2, 1/2], [-3, -3], [31/4, 31/4], [19, 19], [0, 0]]]], [[7, 1, 10, 7, 4], [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 = (y-u^2+
v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [31/4, 31/4], [19, 19],
[1758515/524288, 3517031/1048576]]]], [[7, 1, 10, 7, 5], [And(0 < v,v < 1), u
< -(v^2+2)^(1/2), x = u^2-v^2-1, 2*u^2-2*v^2 < y, (y-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-3, -3], [31/4, 31/4], [19, 19], [5, 5]]]], [[7,
7, 9, 3, 1], [And(0 < v,v < 1), And(-v < u,u < v), And(0 < x,x < 1), And(0 < y
,y < x), z = z], [regular_chain, [[1/2, 1/2], [0, 0], [1/2, 1/2], [1/4, 1/4],
[0, 0]]]], [[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-u^2+v^2+1 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2], [3
/2, 3/2], [-2, -2]]]], [[7, 9, 9, 7, 2], [And(0 < v,v < 1), And(v < u,u < (v^2
+1)^(1/2)), And(0 < x,x < 1), And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = -(y-x)
^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1/2
, 1/2], [3/2, 3/2], [-1, -1]]]], [[7, 9, 9, 7, 3], [And(0 < v,v < 1), And(v <
u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1),
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[7, 9, 9, 7, 4]
, [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(x-u^2
+v^2+1 < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[7, 9,
9, 7, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), 
And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[1/2,
1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [
[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, 3 < y, z < -y^(1/2)], [regular_chain, [[1/2, 1/2]
, [3/2, 3/2], [0, 0], [4, 4], [-3, -3]]]], [[7, 12, 6, 7, 2], [And(0 < v,v < 1
), u = (v^2+2)^(1/2), x = 0, 3 < y, z = -y^(1/2)], [regular_chain, [[1/2, 1/2]
, [3/2, 3/2], [0, 0], [4, 4], [-2, -2]]]], [[7, 12, 6, 7, 3], [And(0 < v,v < 1
), u = (v^2+2)^(1/2), x = 0, 3 < y, 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,
7, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = 0, 3 < y, z = y^(1/2)], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [0, 0], [4, 4], [2, 2]]]], [[7, 12, 6,
7, 5], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = 0, 3 < y, y^(1/2) < z], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [0, 0], [4, 4], [3, 3]]]], [[8, 4, 9,
6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = 1, And(-1 < u,u < 0), x < u^2-2, And(x-u^
2+2 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-3,
-3], [-5/8, -5/8], [-3, -3]]]], [[8, 7, 1, 7, 2], [v = 1, And(-1 < u,u < 0), x
< u^2-2, And(x-u^2+2 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [
-1/2, -1/2], [-3, -3], [-5/8, -5/8], [-3231929/2097152, -403991/262144]]]], [[
8, 7, 1, 7, 3], [v = 1, And(-1 < u,u < 0), x < u^2-2, And(x-u^2+2 < y,y < 0),
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-1/2, -1/2],
[-3, -3], [-5/8, -5/8], [0, 0]]]], [[8, 7, 1, 7, 4], [v = 1, And(-1 < u,u < 0)
, x < u^2-2, And(x-u^2+2 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[1, 1]
, [-1/2, -1/2], [-3, -3], [-5/8, -5/8], [403991/262144, 1615965/1048576]]]], [
[8, 7, 1, 7, 5], [v = 1, And(-1 < u,u < 0), x < u^2-2, And(x-u^2+2 < y,y < 0),
(y-x)^(1/2) < z], [regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3], [-5/8, -5/8
], [3, 3]]]], [[8, 11, 2, 3, 1], [v = 1, And(1 < u,u < 2^(1/2)), x = -u^2, And
(-u^2 < y,y < -2*u^2+2), z < -(u^2+y)^(1/2)], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-1527887/1048576, -763943/524288], [-\
4973015/4194304, -4973015/4194304], [-2, -2]]]], [[8, 11, 2, 3, 2], [v = 1, 
And(1 < u,u < 2^(1/2)), x = -u^2, And(-u^2 < y,y < -2*u^2+2), z = -(u^2+y)^(1/
2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1527887/
1048576, -763943/524288], [-4973015/4194304, -4973015/4194304], [-1092629/
2097152, -273157/524288]]]], [[8, 11, 2, 3, 3], [v = 1, And(1 < u,u < 2^(1/2))
, x = -u^2, And(-u^2 < 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], [-4973015/4194304, -4973015/4194304], [0, 0]]]], [[8
, 11, 2, 3, 4], [v = 1, And(1 < u,u < 2^(1/2)), x = -u^2, And(-u^2 < y,y < -2*
u^2+2), z = (u^2+y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743
/1048576], [-1527887/1048576, -763943/524288], [-4973015/4194304, -4973015/
4194304], [273157/524288, 546315/1048576]]]], [[8, 11, 2, 3, 5], [v = 1, And(1
< u,u < 2^(1/2)), x = -u^2, And(-u^2 < y,y < -2*u^2+2), (u^2+y)^(1/2) < z], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1527887/1048576,
-763943/524288], [-4973015/4194304, -4973015/4194304], [2, 2]]]], [[8, 13, 1,
6, 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], [-\
3198693/2097152, -799673/524288], [-3, -3]]]], [[8, 13, 1, 6, 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], [-3198693/2097152, -799673/
524288], [-3299097/2097152, -3299097/2097152]]]], [[8, 13, 1, 6, 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], [-\
3198693/2097152, -799673/524288], [-1/4194304, -1/4194304]]]], [[8, 13, 1, 6,
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], [-\
3198693/2097152, -799673/524288], [412387/262144, 1649549/1048576]]]], [[8, 13
, 1, 6, 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], [-\
3198693/2097152, -799673/524288], [3, 3]]]], [[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 < 0), 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, 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^2-1 < y,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], [-2599117/2097152, -\
2599117/2097152], [-583671/524288, -1167341/1048576]]]], [[9, 3, 2, 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^2-1 < 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], [-14373233/
8388608, -14373233/8388608], [-1299559/524288, -2599117/1048576], [-2599117/
2097152, -2599117/2097152], [0, 0]]]], [[9, 3, 2, 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^2-1
< y,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], [-2599117/2097152, -2599117/2097152], [1167341/1048576, 
583671/524288]]]], [[9, 3, 2, 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^2-1 < y,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], [-\
2599117/2097152, -2599117/2097152], [3, 3]]]], [[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 = 0, z < -(-x)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304,
-5818805/4194304], [-3, -3], [0, 0], [-3, -3]]]], [[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 = 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, 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 = 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, 8,
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, 8, 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, 10, 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+2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [1, 1], [
1498947/1048576, 374737/262144], [-2, -2]]]], [[9, 11, 10, 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+2, z = -(u^2-v^2+
1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [1, 1], [1498947/1048576, 374737/262144], [-1374407/
2097152, -687203/1048576]]]], [[9, 11, 10, 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+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], [1498947/1048576, 374737/262144], [0,
0]]]], [[9, 11, 10, 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+2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [1, 1], [1498947/
1048576, 374737/262144], [687203/1048576, 171801/262144]]]], [[9, 11, 10, 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+2
, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[987341/1048576, 987341/1048576], [1, 1], [1498947/1048576, 374737/262144], [2
, 2]]]], [[9, 13, 11, 5, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1
/2)), 1 < x, And(x < y,y < x-u^2+v^2+1), z < -(y-x)^(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(x < y,y < x-u^2+v^2+1),
z = -(y-x)^(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(x < y,y < x-u^2+v^2+1), And(-(y-
x)^(1/2) < z,z < (y-x)^(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(x < y,y < x-u^2+v^2+1), z = (y-x)^(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(x < y,y < x-u^2+v^2+1), (y-x)^(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 = x, z < 0], [regular_chain, [[741455/524288,
1482911/1048576], [-2, -2], [-2, -2], [-2, -2], [-1, -1]]]], [[10, 2, 3, 4, 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, 4, 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, 7, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x
, And(x < y,y < u^2+x-1), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-3913339/2097152, -3913339/2097152], [2, 2], [6796923/
2097152, 6796923/2097152], [-3, -3]]]], [[10, 3, 11, 7, 2], [v = 2^(1/2), And(
-2 < u,u < -3^(1/2)), 1 < x, And(x < y,y < u^2+x-1), z = -(y-x)^(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, 7, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x
, And(x < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [2, 2], [6796923/2097152, 6796923/2097152], [0, 0]]]], [[10, 3, 11,
7, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, And(x < y,y < u^2+x-1),
z = (y-x)^(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, 7, 5], [v = 2^(1/2), And(-2 < u,u
< -3^(1/2)), 1 < x, And(x < y,y < u^2+x-1), (y-x)^(1/2) < z], [regular_chain,
[[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [2, 2
], [6796923/2097152, 6796923/2097152], [3, 3]]]], [[10, 8, 1, 3, 1], [v = 2^(1
/2), u = -1, x < -2, And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1, -1], [-3, -3], [-2, -2], [-2, -2]]]], [[
10, 8, 1, 3, 2], [v = 2^(1/2), u = -1, x < -2, And(x < y,y < x+2), z = -(y-x)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-3, -3],
[-2, -2], [-1, -1]]]], [[10, 8, 1, 3, 3], [v = 2^(1/2), u = -1, x < -2, And(x
< y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455
/524288, 1482911/1048576], [-1, -1], [-3, -3], [-2, -2], [0, 0]]]], [[10, 8, 1
, 3, 4], [v = 2^(1/2), u = -1, x < -2, And(x < y,y < x+2), z = (y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-3, -3], [-2, -2]
, [1, 1]]]], [[10, 8, 1, 3, 5], [v = 2^(1/2), u = -1, x < -2, And(x < y,y < x+
2), (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1,
-1], [-3, -3], [-2, -2], [2, 2]]]], [[10, 9, 11, 6, 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, 6, 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
, 6, 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, 3, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(0 < x,x < 1), 
And(0 < y,y < x), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[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], [505467/1048576, 126367/262144], [
-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], [505467/
1048576, 126367/262144], [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], [505467/1048576, 126367/262144], [1, 1]]]], [[10, 18, 6, 1, 1], [v =
2^(1/2), u = 2, x = 0, y < -1, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [2, 2], [0, 0], [-2, -2], [0, 0]]]], [[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 = 0, z < -(-x)^(1/
2)], [regular_chain, [[3, 3], [-5, -5], [-9, -9], [0, 0], [-4, -4]]]], [[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 =
0, z = -(-x)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-9, -9], [0, 0], [-3,
-3]]]], [[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 = 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, 6, 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, 6,
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, 3, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1,
And(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-3, -3], [-11549769/4194304, -11549769/
4194304], [-2, -2]]]], [[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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3, -3], [-\
11549769/4194304, -11549769/4194304], [-16263/32768, -520415/1048576]]]], [[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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3, -3], [-\
11549769/4194304, -11549769/4194304], [0, 0]]]], [[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(x < y,y < u^2-v^2+x+1),
z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152
], [-3, -3], [-11549769/4194304, -11549769/4194304], [520415/1048576, 16263/
32768]]]], [[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(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[3
, 3], [-6111549/2097152, -6111549/2097152], [-3, -3], [-11549769/4194304, -\
11549769/4194304], [2, 2]]]], [[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 = -1, z < 0], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1, -1], [-1, -1], [-1
, -1]]]], [[11, 12, 4, 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, 4, 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, 1, 7, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), x
< -2, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 
2965821/1048576], [-3, -3], [1, 1], [-3, -3]]]], [[11, 14, 1, 7, 2], [2^(1/2)
< v, u = (v^2-1)^(1/2), x < -2, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[3,
3], [741455/262144, 2965821/1048576], [-3, -3], [1, 1], [-2, -2]]]], [[11, 14,
1, 7, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -2, 0 < y, And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576],
[-3, -3], [1, 1], [0, 0]]]], [[11, 14, 1, 7, 4], [2^(1/2) < v, u = (v^2-1)^(1/
2), x < -2, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [741455/262144,
2965821/1048576], [-3, -3], [1, 1], [2, 2]]]], [[11, 14, 1, 7, 5], [2^(1/2) <
v, u = (v^2-1)^(1/2), x < -2, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3]
, [741455/262144, 2965821/1048576], [-3, -3], [1, 1], [3, 3]]]], [[11, 20, 1,
4, 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, 4, 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, 4, 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, 7, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(
1 < x,x < u^2-v^2-1), And(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [5, 5], [8, 8], [33/2, 33/2], [-4, -4]]]], [[11, 21, 9
, 7, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(x < y,
y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [5, 5], [8, 8],
[33/2, 33/2], [-24456785/8388608, -1528549/524288]]]], [[11, 21, 9, 7, 3], [2^
(1/2) < v, (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(x < y,y < u^2-v^2+
x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [5, 5],
[8, 8], [33/2, 33/2], [0, 0]]]], [[11, 21, 9, 7, 4], [2^(1/2) < v, (v^2+2)^(1/
2) < u, And(1 < x,x < u^2-v^2-1), And(x < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)]
, [regular_chain, [[3, 3], [5, 5], [8, 8], [33/2, 33/2], [1528549/524288, 
3057099/1048576]]]], [[11, 21, 9, 7, 5], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(
1 < x,x < u^2-v^2-1), And(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [5, 5], [8, 8], [33/2, 33/2], [4, 4]]]], [[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(x
< y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [2, 2], [1702375/524288, 1702375/524288], [-3, -3]
]]], [[1, 3, 11, 7, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[-\
3, -3], [-3396811/1048576, -3396811/1048576], [2, 2], [1702375/524288, 1702375
/524288], [-1170947/1048576, -585473/524288]]]], [[1, 3, 11, 7, 3], [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), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [2, 2], [1702375/524288, 1702375/524288],
[0, 0]]]], [[1, 3, 11, 7, 4], [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 = (y-x)^(1/2)], [regular_chain
, [[-3, -3], [-3396811/1048576, -3396811/1048576], [2, 2], [1702375/524288, 
1702375/524288], [585473/524288, 1170947/1048576]]]], [[1, 3, 11, 7, 5], [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), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-3396811/1048576, -\
3396811/1048576], [2, 2], [1702375/524288, 1702375/524288], [3, 3]]]], [[1, 5,
10, 6, 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], [197471/131072, 1579769/1048576], [-2, -2]]]], [[1, 5,
10, 6, 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], [197471/131072, 1579769/1048576], [-373161/524288, -\
1492643/2097152]]]], [[1, 5, 10, 6, 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], [
197471/131072, 1579769/1048576], [-1/4194304, -1/4194304]]]], [[1, 5, 10, 6, 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], [197471/131072, 1579769/1048576], [746321/1048576, 373161/524288]]]]
, [[1, 5, 10, 6, 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], [197471/131072, 1579769/1048576], [2, 2]]]],
[[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(0 < y,y < 1), 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 = x, z < 0], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [-1/2, -1/2], [-1/2, -1/2], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-3, -3], [1435023/524288, 1435023
/524288], [-1/2, -1/2], [-1/2, -1/2], [0, 0]]]], [[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 = x, 0 < z
], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1/2, -1/2],
[-1/2, -1/2], [1, 1]]]], [[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(x-u^2+v^2+1 < y,y < x), z = z], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [-\
100263691/134217728, -100263691/134217728], [0, 0]]]], [[2, 3, 6, 6, 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], [2602619/1048576, 650655/262144], [-3, -3]]]], [[2,
3, 6, 6, 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], [2602619/1048576, 650655/262144], [-825991
/524288, -3303963/2097152]]]], [[2, 3, 6, 6, 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], [2602619/1048576, 650655/262144], [-1/4194304, -1/
4194304]]]], [[2, 3, 6, 6, 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], [2602619/1048576, 
650655/262144], [1651981/1048576, 825991/524288]]]], [[2, 3, 6, 6, 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], [2602619/1048576, 650655/262144], [3, 3]]]], [[2, 5,
5, 5, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x < u^2-3), And(x
-u^2+3 < y,y < 0), z < -(y-x)^(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(x-u^2
+3 < y,y < 0), z = -(y-x)^(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(x-u^2+3 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x-u^2+3 < y,y < 0), z = (y
-x)^(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(x-u^2+3 < y
,y < 0), (y-x)^(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 < 0, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-1, -1], [0,
0]]]], [[2, 8, 5, 3, 1], [v = -2^(1/2), u = -1, And(-1 < x,x < 0), And(x < y,y
< 0), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1, -1], [-1/2, -1/2], [-1/4, -1/4], [-2, -2]]]], [[2, 8, 5, 3, 2], [v = -2^(
1/2), u = -1, And(-1 < x,x < 0), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v = -2^(1/2), u = -1, And(-1 <
x,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1/2, -1/2], [-\
1/4, -1/4], [0, 0]]]], [[2, 8, 5, 3, 4], [v = -2^(1/2), u = -1, And(-1 < x,x <
0), And(x < y,y < 0), z = (y-x)^(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
, 3, 5], [v = -2^(1/2), u = -1, And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(1/
2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1/2,
-1/2], [-1/4, -1/4], [2, 2]]]], [[2, 13, 11, 7, 1], [v = -2^(1/2), And(1 < u,u
< -v), 1 < x, And(u^2+x-1 < y,y < x-u^2+3), z < -(y-x)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [2, 2
], [3, 3], [-2, -2]]]], [[2, 13, 11, 7, 2], [v = -2^(1/2), And(1 < u,u < -v),
1 < x, And(u^2+x-1 < y,y < x-u^2+3), z = -(y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [2, 2],
[3, 3], [-1, -1]]]], [[2, 13, 11, 7, 3], [v = -2^(1/2), And(1 < u,u < -v), 1 <
x, And(u^2+x-1 < y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [2, 2], [3, 3], [0, 0]]]], [[2, 13, 11, 7, 4], [v = -2^(1/2), And(1
< u,u < -v), 1 < x, And(u^2+x-1 < y,y < x-u^2+3), z = (y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [2, 2], [3, 3], [1, 1]]]], [[2, 13, 11, 7, 5], [v = -2^(1/2), And(1
< u,u < -v), 1 < x, And(u^2+x-1 < y,y < x-u^2+3), (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [2, 2], [3, 3], [2, 2]]]], [[2, 16, 1, 2, 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, 2, 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, 2, 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,
19, 9, 6, 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, 6, 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, 6, 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, 5, 1], [
And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -1, And(-1 < y,y < 0), z < -
(y+1)^(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(-1 < y,y < 0)
, z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(
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(-1 < y,y < 0), (y+1)^(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, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [-3/2, -3/2], [-3, -3],
[0, 0]]]], [[3, 10, 1, 3, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x
< -2, And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-3, -3], [-2, -2
], [-2, -2]]]], [[3, 10, 1, 3, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2
), x < -2, And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-3, -3], [-2, -2
], [-1, -1]]]], [[3, 10, 1, 3, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2
), x < -2, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-3, -3], [-2, -2], [0, 0]]]], [[3, 10, 1, 3, 4], [And(-2^(1/2) < v,
v < -1), u = (v^2-1)^(1/2), x < -2, And(x < y,y < x+2), z = (y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-3, -3], [-2, -2], [1, 1]]]], [[3, 10, 1, 3, 5], [And(-2^(1/2) < v,
v < -1), u = (v^2-1)^(1/2), x < -2, And(x < y,y < x+2), (y-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-3, -3], [-2, -2], [2, 2]]]], [[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 = x, z < 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [-10, -10], [-10, -10], [-1, -1]]]
], [[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 = x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3
, 3], [-10, -10], [-10, -10], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [-10, -10], [-10, -10], [1, 1]]]],
[[4, 1, 7, 3, 1], [v = -1, u < -3^(1/2), And(0 < x,x < 1), And(x-u^2+2 < y,y <
0), z = z], [regular_chain, [[-1, -1], [-3, -3], [1/2, 1/2], [-13/4, -13/4], [
0, 0]]]], [[4, 7, 5, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 3, 1], [v = -1, And(0 < u,u < 1), x = -1, And(-1 <
y,y < u^2-1), z < -(y+1)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1, -\
1], [-7/8, -7/8], [-2, -2]]]], [[4, 9, 4, 3, 2], [v = -1, And(0 < u,u < 1), x
= -1, And(-1 < y,y < u^2-1), z = -(y+1)^(1/2)], [regular_chain, [[-1, -1], [1/
2, 1/2], [-1, -1], [-7/8, -7/8], [-46341/131072, -370727/1048576]]]], [[4, 9,
4, 3, 3], [v = -1, And(0 < u,u < 1), x = -1, And(-1 < 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],
[-7/8, -7/8], [0, 0]]]], [[4, 9, 4, 3, 4], [v = -1, And(0 < u,u < 1), x = -1,
And(-1 < y,y < u^2-1), z = (y+1)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2]
, [-1, -1], [-7/8, -7/8], [370727/1048576, 46341/131072]]]], [[4, 9, 4, 3, 5],
[v = -1, And(0 < u,u < 1), x = -1, And(-1 < y,y < u^2-1), (y+1)^(1/2) < z], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [-7/8, -7/8], [2, 2]]]], [[4,
13, 5, 1, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), y < x-
u^2+2, z = z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152],
[-1/2, -1/2], [-2, -2], [0, 0]]]], [[4, 15, 1, 9, 1], [v = -1, 3^(1/2) < u, x
< -u^2, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-10, -10
], [1, 1], [-5, -5]]]], [[4, 15, 1, 9, 2], [v = -1, 3^(1/2) < u, x < -u^2, 0 <
y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-10, -10], [1, 1], [
-1738867/524288, -3477733/1048576]]]], [[4, 15, 1, 9, 3], [v = -1, 3^(1/2) < u
, x < -u^2, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
1, -1], [3, 3], [-10, -10], [1, 1], [0, 0]]]], [[4, 15, 1, 9, 4], [v = -1, 3^(
1/2) < u, x < -u^2, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [3, 3]
, [-10, -10], [1, 1], [3477733/1048576, 1738867/524288]]]], [[4, 15, 1, 9, 5],
[v = -1, 3^(1/2) < u, x < -u^2, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-1,
-1], [3, 3], [-10, -10], [1, 1], [5, 5]]]], [[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(x-u^2+v^2+1
< y,y < 0), z < -(y-x)^(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(x-u^2+v^2+1 < y,
y < 0), z = -(y-x)^(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(x-u^2+v^2+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x-u^2+v^2+1 < y,y < 0), z = (y-x)^(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(x-u^2+v^2+1 < y,y < 0), (y-x
)^(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-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain
, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [2, 2], [-3, -3]]]], [[5, 7, 5, 9, 2],
[And(-1 < v,v < 0), And(v < u,u < -v), And(-1 < x,x < -u^2+v^2-1), x-u^2+v^2+1
< y, z = -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [
2, 2], [-3555895/2097152, -1777947/1048576]]]], [[5, 7, 5, 9, 3], [And(-1 < v,
v < 0), And(v < u,u < -v), And(-1 < x,x < -u^2+v^2-1), x-u^2+v^2+1 < y, And(-(
y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [-7/8
, -7/8], [2, 2], [0, 0]]]], [[5, 7, 5, 9, 4], [And(-1 < v,v < 0), And(v < u,u
< -v), And(-1 < x,x < -u^2+v^2-1), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [2, 2], [1777947/1048576,
444487/262144]]]], [[5, 7, 5, 9, 5], [And(-1 < v,v < 0), And(v < u,u < -v), 
And(-1 < x,x < -u^2+v^2-1), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain,
[[-1/2, -1/2], [0, 0], [-7/8, -7/8], [2, 2], [3, 3]]]], [[5, 8, 5, 3, 1], [And
(-1 < v,v < 0), u = -v, And(0 < x,x < 1), And(0 < y,y < x), z = z], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [
[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+2), z < -(y-x)^(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, 5
, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y <
x+2), z = -(y-x)^(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, 5, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-1 < x,x < 0)
, And(0 < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 5, 4], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-1 < x,x
< 0), And(0 < y,y < x+2), z = (y-x)^(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, 5, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), 
And(-1 < x,x < 0), And(0 < y,y < x+2), (y-x)^(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, 8, 2, 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, 6, 2, 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, 2, 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, 2, 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, 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(0 < y,y < 2), z < -(y+1)^(
1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1, -1], [1
, 1], [-3, -3]]]], [[6, 10, 4, 7, 2], [v = 0, u = 2^(1/2), x = -1, And(0 < y,y
< 2), z = -(y+1)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [-1, -1], [1, 1], [-1482911/1048576, -741455/524288]]]], [[6, 10, 4,
7, 3], [v = 0, u = 2^(1/2), x = -1, And(0 < y,y < 2), And(-(y+1)^(1/2) < z,z <
(y+1)^(1/2))], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1,
-1], [1, 1], [0, 0]]]], [[6, 10, 4, 7, 4], [v = 0, u = 2^(1/2), x = -1, And(0
< y,y < 2), z = (y+1)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911
/1048576], [-1, -1], [1, 1], [741455/524288, 1482911/1048576]]]], [[6, 10, 4,
7, 5], [v = 0, u = 2^(1/2), x = -1, And(0 < y,y < 2), (y+1)^(1/2) < z], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1, -1], [1, 1], [3
, 3]]]], [[7, 4, 8, 1, 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], [-1, -1], [0, 0]]]], [[7, 6, 6, 5, 1], [And(0 < v,v < 1), u = -v, x = 1, 
And(1 < y,y < 2), 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, 5, 2], [And(0 < v,v < 1), u = -v
, x = 1, And(1 < y,y < 2), 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, 5, 3], [And(0 < v,v < 1), u = -v, x = 1, And(1 < y,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], [3/2
, 3/2], [0, 0]]]], [[7, 6, 6, 5, 4], [And(0 < v,v < 1), u = -v, x = 1, And(1 <
y,y < 2), 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, 5, 5], [And(0 < v,v <
1), u = -v, x = 1, And(1 < y,y < 2), (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, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 2, 1
, 9, 1], [v = 1, u = -3^(1/2), x < -3, 0 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-4, -4], [1, 1]
, [-4, -4]]]], [[8, 2, 1, 9, 2], [v = 1, u = -3^(1/2), x < -3, 0 < y, z = -(y-
x)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-4,
-4], [1, 1], [-146543/65536, -2344687/1048576]]]], [[8, 2, 1, 9, 3], [v = 1, u
= -3^(1/2), x < -3, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-4, -4], [1, 1]
, [0, 0]]]], [[8, 2, 1, 9, 4], [v = 1, u = -3^(1/2), x < -3, 0 < y, z = (y-x)^
(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-4, -4
], [1, 1], [2344687/1048576, 146543/65536]]]], [[8, 2, 1, 9, 5], [v = 1, u = -
3^(1/2), x < -3, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-1816187/
1048576, -3632373/2097152], [-4, -4], [1, 1], [4, 4]]]], [[8, 7, 10, 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], [5/4, 5/4], [-2, -2]]]], [[8, 7, 10, 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], [5/4, 5/4], [-1/2, -1/2]]]], [[8, 7, 10, 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], [5/4, 5/4], [0, 0]]]], [[8, 7, 10, 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], [5
/4, 5/4], [1/2, 1/2]]]], [[8, 7, 10, 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], [5/4, 5/4],
[2, 2]]]], [[8, 9, 9, 9, 1], [v = 1, And(0 < u,u < 1), And(0 < x,x < 1), x-u^2
+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [4
, 4], [-3, -3]]]], [[8, 9, 9, 9, 2], [v = 1, And(0 < u,u < 1), And(0 < x,x < 1
), x-u^2+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [1/2,
1/2], [4, 4], [-7846825/4194304, -980853/524288]]]], [[8, 9, 9, 9, 3], [v = 1,
And(0 < u,u < 1), And(0 < x,x < 1), x-u^2+2 < y, And(-(y-x)^(1/2) < z,z < (y-x
)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [4, 4], [0, 0]]]],
[[8, 9, 9, 9, 4], [v = 1, And(0 < u,u < 1), And(0 < x,x < 1), x-u^2+2 < y, z =
(y-x)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [4, 4], [980853
/524288, 1961707/1048576]]]], [[8, 9, 9, 9, 5], [v = 1, And(0 < u,u < 1), And(
0 < x,x < 1), x-u^2+2 < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/
2], [1/2, 1/2], [4, 4], [3, 3]]]], [[8, 13, 10, 5, 1], [v = 1, And(2^(1/2) < u
,u < 3^(1/2)), x = 1, And(-u^2+3 < y,y < 1), z = z], [regular_chain, [[1, 1],
[3299097/2097152, 3299097/2097152], [1, 1], [1599347/2097152, 1599347/2097152]
, [0, 0]]]], [[8, 15, 7, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 5, 
10, 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+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], [2, 2
], [-2, -2]]]], [[9, 5, 10, 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+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], [2, 2], [-1, -1]]]], [[9, 5, 10, 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+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], [2, 2
], [0, 0]]]], [[9, 5, 10, 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+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], [2, 2], [1, 1]]]], [[9, 5, 10, 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+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], [2, 2], [2, 2]]]], [[9, 7, 11, 6,
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], [1273761/524288, 
2547523/1048576], [-2, -2]]]], [[9, 7, 11, 6, 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], [1273761/524288, 2547523/1048576], [-1374407/2097152
, -687203/1048576]]]], [[9, 7, 11, 6, 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], [1273761/524288, 2547523/1048576],
[0, 0]]]], [[9, 7, 11, 6, 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
], [1273761/524288, 2547523/1048576], [687203/1048576, 171801/262144]]]], [[9,
7, 11, 6, 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], [1273761/
524288, 2547523/1048576], [2, 2]]]], [[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], [-2576463/1048576, -1288231/524288], [-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], [-2576463/
1048576, -1288231/524288], [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], [-2576463/1048576, -1288231/524288], [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(x-u^2+v^2+1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3],
[-1498947/2097152, -1498947/2097152], [-3, -3]]]], [[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(x-u^2+v^2+1 <
y,y < 0), z = -(y-x)^(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, 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(x-u^2+v^
2+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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,
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(x-u^2+v^2+1 < y,y < 0), z = (y-x)^(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, 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(x-u^2+v^2+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [-\
1498947/2097152, -1498947/2097152], [3, 3]]]], [[9, 16, 8, 2, 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, 5, 5, 1], [v = 2^(1/2), u < -2, And(-1 < x,x < 0), And(x <
y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(
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 < 0), z < -(u^2+y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1546383/1048576, -773191/524288], [-3982451/8388608, -3982451/
8388608], [-3, -3]]]], [[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 < 0), z = -(u^2+y-1)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
1546383/1048576, -773191/524288], [-3982451/8388608, -3982451/8388608], [-\
1048577/1048576, -1]]]], [[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 < 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], [-3982451/
8388608, -3982451/8388608], [0, 0]]]], [[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 < 0), z = (u^2+y-1)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195
/4194304], [-1546383/1048576, -773191/524288], [-3982451/8388608, -3982451/
8388608], [1, 1048577/1048576]]]], [[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 < 0), (u^2+y-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1546383/1048576, -773191/524288], [-3982451/8388608, -3982451/
8388608], [3, 3]]]], [[10, 7, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 1, 1], [v = 2^(1/2), u = 1,
x = 1, y < 0, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1
], [1, 1], [-1, -1], [0, 0]]]], [[10, 14, 7, 2, 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]]]], [[11, 2, 1, 3, 1], [2^(1/
2) < v, u = -(v^2+2)^(1/2), x < -3, And(x-1 < y,y < x), z = z], [regular_chain
, [[3, 3], [-1738867/524288, -3477733/1048576], [-4, -4], [-9/2, -9/2], [0, 0]
]]], [[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 = 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], [1699253/524288, 3398507/1048576], [-3, -3]]]], [[11, 3, 9
, 8, 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],
[1699253/524288, 3398507/1048576], [-1655969/1048576, -3311937/2097152]]]], [[
11, 3, 9, 8, 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], [1699253/524288, 3398507/1048576], [-1/
4194304, -1/4194304]]]], [[11, 3, 9, 8, 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], [1699253/524288, 3398507/1048576], [51749/
32768, 1655969/1048576]]]], [[11, 3, 9, 8, 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], [1699253/524288, 3398507/1048576], [3, 3]]
]], [[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(u^2-v^2+x+1 < y,y < x), 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 < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [0, 0], [
10, 10], [-5, -5]]]], [[11, 11, 6, 6, 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, 6, 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, 6, 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, 6, 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, 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 = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-657289/524288, -657289/524288], [0, 0], [-3, -3]]
]], [[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 = 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, 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 = 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, 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 = 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, 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 = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152,
6111549/2097152], [-657289/524288, -657289/524288], [0, 0], [3, 3]]]], [[11, 
17, 4, 5, 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 < -(y+1)^(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(-u^2+v^2 < y
,y < 0), z = -(y+1)^(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(-u^2+v^2 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-u^2+v^2 < y,y < 0), z =
(y+1)^(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(-u^2
+v^2 < y,y < 0), (y+1)^(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 = u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [2, 2], [1178087/262144, 4712349/1048576],
[-3, -3]]]], [[1, 3, 11, 8, 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], [1178087/262144, 
4712349/1048576], [-1655969/1048576, -3311937/2097152]]]], [[1, 3, 11, 8, 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], [1178087/262144, 4712349/
1048576], [-1/4194304, -1/4194304]]]], [[1, 3, 11, 8, 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], [1178087/262144, 4712349/1048576], [51749/32768, 1655969/1048576]]]], [[1,
3, 11, 8, 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], [1178087/262144, 4712349/1048576],
[3, 3]]]], [[1, 5, 11, 2, 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, 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 < -(-u^2+v^2+1)^(1/2)],
[regular_chain, [[-3, -3], [0, 0], [1, 1], [11, 11], [-5, -5]]]], [[1, 11, 8,
8, 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, 8, 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, 8, 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, 8, 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, 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 = z], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [0, 0], [-1066073/
2097152, -133259/262144], [0, 0]]]], [[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 < 2*u^2-2*v^2), z < -(y-u^2
+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-\
531193/1048576, -1062385/2097152], [517383/1048576, 517383/1048576], [-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 < 2*u^2-2*v^2), z = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [
[-3, -3], [403851/131072, 403851/131072], [-531193/1048576, -1062385/2097152],
[517383/1048576, 517383/1048576], [-34359733895/34359738368, -4398045938559/
4398046511104]]]], [[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 < 2*u^2-2*v^2), And(-(y-u^2+v^2+1)^(1/2) < z,
z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-531193/1048576, -1062385/2097152], [517383/1048576, 517383/1048576]
, [-3621759/8796093022208, -3621759/8796093022208]]]], [[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 < 2*u^2-2*
v^2), z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [-531193/1048576, -1062385/2097152], [517383/1048576, 517383/
1048576], [1048575/1048576, 1]]]], [[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 < 2*u^2-2*v^2), (y-u^2+v^2+1)
^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-\
531193/1048576, -1062385/2097152], [517383/1048576, 517383/1048576], [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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [
[-3, -3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [522727/262144, 
2090909/1048576], [-3, -3]]]], [[1, 19, 5, 8, 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], [522727/262144, 2090909/1048576], [-1655969/1048576, -3311937/
2097152]]]], [[1, 19, 5, 8, 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], [522727/262144, 2090909/1048576], [-1/4194304, -1/
4194304]]]], [[1, 19, 5, 8, 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], [
522727/262144, 2090909/1048576], [51749/32768, 1655969/1048576]]]], [[1, 19, 5
, 8, 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], [522727/262144, 2090909/
1048576], [3, 3]]]], [[2, 3, 7, 2, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2))
, And(0 < x,x < u^2-3), y = x-u^2+3, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [505467/
2097152, 505467/2097152], [-126367/524288, -252733/1048576], [0, 0]]]], [[2, 5
, 6, 3, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = u^2-3, And(u^2-3 < y,y
< 0), z < -(y-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [-275385/524288, -1101539/
2097152], [-1101539/4194304, -1101539/4194304], [-2, -2]]]], [[2, 5, 6, 3, 2],
[v = -2^(1/2), And(-3^(1/2) < u,u < v), x = u^2-3, And(u^2-3 < y,y < 0), z = -
(y-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-275385/524288, -1101539/2097152], [-\
1101539/4194304, -1101539/4194304], [-268683/524288, -1074731/2097152]]]], [[2
, 5, 6, 3, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = u^2-3, And(u^2-3 <
y,y < 0), And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+3)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
275385/524288, -1101539/2097152], [-1101539/4194304, -1101539/4194304], [-1/
4194304, -1/4194304]]]], [[2, 5, 6, 3, 4], [v = -2^(1/2), And(-3^(1/2) < u,u <
v), x = u^2-3, And(u^2-3 < y,y < 0), z = (y-u^2+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
275385/524288, -1101539/2097152], [-1101539/4194304, -1101539/4194304], [
537365/1048576, 268683/524288]]]], [[2, 5, 6, 3, 5], [v = -2^(1/2), And(-3^(1/
2) < u,u < v), x = u^2-3, And(u^2-3 < y,y < 0), (y-u^2+3)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-275385/524288, -1101539/2097152], [-1101539/4194304, -\
1101539/4194304], [2, 2]]]], [[2, 6, 3, 6, 1], [v = -2^(1/2), u = v, And(-1 <
x,x < 0), y = x+1, 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, 6, 2], [v = -2^(1/2), u = v, And(-1 < x,x < 0), y = x+1, 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, 6, 3], [v = -2^(1/
2), u = v, And(-1 < x,x < 0), y = x+1, 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, 6, 4], [v = -2^(1/2), u = v, And(-1 <
x,x < 0), y = x+1, 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, 6, 5], [v = -2^(1/2), u = v, And(-1 < x,x < 0), y = x+1, 1 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [-1/2, -1/2], [1/2, 1/2], [2, 2]]]], [[2, 8, 4, 7, 1], [v = -2^(1/2)
, u = -1, x = -1, 1 < y, z < -(y+1)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [-1, -1], [-1, -1], [2, 2], [-3, -3]]]], [[2, 8, 4, 7, 2],
[v = -2^(1/2), u = -1, x = -1, 1 < y, z = -(y+1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [2, 2], [-1816187/
1048576, -3632373/2097152]]]], [[2, 8, 4, 7, 3], [v = -2^(1/2), u = -1, x = -1
, 1 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [-1, -1], [2, 2], [-1/4194304, -1/4194304]
]]], [[2, 8, 4, 7, 4], [v = -2^(1/2), u = -1, x = -1, 1 < y, z = (y+1)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [2, 2
], [908093/524288, 1816187/1048576]]]], [[2, 8, 4, 7, 5], [v = -2^(1/2), u = -\
1, x = -1, 1 < y, (y+1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1, -1], [-1, -1], [2, 2], [3, 3]]]], [[2, 13, 11, 2, 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, 1, 1], [v = -2^(1/2), u = 3^(1/2), x < -2, y <
x, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288
, 1816187/1048576], [-3, -3], [-4, -4], [0, 0]]]], [[2, 19, 8, 8, 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, 8,
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, 8, 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, 8, 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, 8, 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, 2, 4, 2, 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, 2, 1, 1], [And(-2^(1/2) < v,v < -1), u = -(v
^2-1)^(1/2), x = -2, y < -2, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [-2, -2], [-3, -3], [0,
0]]]], [[3, 10, 1, 2, 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, 2
, 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, 2, 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, 7, 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 < 0), z < -(y-x)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [3, 3], [-10, -10], [-763943/1048576, -\
763943/1048576], [-5, -5]]]], [[3, 17, 1, 7, 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 < 0), z = -(y-x)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10, -10], [
-763943/1048576, -763943/1048576], [-3192815/1048576, -1596407/524288]]]], [[3
, 17, 1, 7, 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 < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10, -10], [-\
763943/1048576, -763943/1048576], [0, 0]]]], [[3, 17, 1, 7, 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 < 0), z
= (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3],
[-10, -10], [-763943/1048576, -763943/1048576], [1596407/524288, 3192815/
1048576]]]], [[3, 17, 1, 7, 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 < 0), (y-x)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [3, 3], [-10, -10], [-763943/1048576, -\
763943/1048576], [5, 5]]]], [[4, 1, 8, 1, 1], [v = -1, u < -3^(1/2), x = 1, y
< -u^2+3, z = z], [regular_chain, [[-1, -1], [-3, -3], [1, 1], [-7, -7], [0, 0
]]]], [[4, 7, 5, 5, 1], [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(
u^2+x < y,y < 0), z < -(y-x)^(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(u^2+x < y,y < 0), z = -(y-x)^(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(u^2+x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(u^2+x < y,y < 0), z = (y-x)^(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(u^
2+x < y,y < 0), (y-x)^(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 = -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, 8, 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
, 8, 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, 8, 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, 8, 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, 4, 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, 4, 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, 4, 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, 7, 1], [v = -1, 3^(1/2) < u, x = -u^2, 0 < y, z < -(u^2+
y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-9, -9], [1, 1], [-5, -5]]]], [
[4, 15, 2, 7, 2], [v = -1, 3^(1/2) < u, x = -u^2, 0 < y, z = -(u^2+y)^(1/2)],
[regular_chain, [[-1, -1], [3, 3], [-9, -9], [1, 1], [-3315889/1048576, -\
207243/65536]]]], [[4, 15, 2, 7, 3], [v = -1, 3^(1/2) < u, x = -u^2, 0 < y, 
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, 7, 4], [v = -1, 3^(1/2) < u, x = -u^2
, 0 < y, z = (u^2+y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-9, -9], [1,
1], [207243/65536, 3315889/1048576]]]], [[4, 15, 2, 7, 5], [v = -1, 3^(1/2) <
u, x = -u^2, 0 < y, (u^2+y)^(1/2) < z], [regular_chain, [[-1, -1], [3, 3], [-9
, -9], [1, 1], [5, 5]]]], [[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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 6, 5, 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], [-3/4, -3/4], [1/4,
1/4], [-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 < -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], [1/4, 1/4], [-1, -1]]]], [
[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 < -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], [1/4, 1/4], [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 < -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], [1/4, 1/4], [1, 1]]]], [[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 < -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], [1/4, 1/4
], [2, 2]]]], [[5, 8, 4, 3, 1], [And(-1 < v,v < 0), u = -v, x = 0, And(0 < y,y
< 1), 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(0
< y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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
= 0, z = z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [1/2
, 1/2], [0, 0], [0, 0]]]], [[6, 4, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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,
6, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 10, 4, 6, 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, 6, 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, 6, 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, 6,
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, 6, 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, 1, 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], [-\
1, -1], [0, 0]]]], [[7, 6, 6, 2, 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, 7, 4, 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, 1, 1], [v = 1, u = -3^(1/2), x = -3, y < -4, z = z], [regular_chain
, [[1, 1], [-1816187/1048576, -3632373/2097152], [-3, -3], [-5, -5], [0, 0]]]]
, [[8, 7, 11, 4, 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,
4, 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, 4, 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, 10, 3, 1], [v = 1, And(0 < u,u < 1), x = 1, And(
0 < y,y < 1), z = z], [regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [1/2, 1/2],
[0, 0]]]], [[8, 13, 11, 1, 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], [-1, -1], [0, 0]]]], [[8, 15, 7, 9, 1], [v = 1, 3^(1/2) < u, And(0 < x,x <
1), u^2+x < y, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [3, 3], [1/2, 1/2],
[11, 11], [-5, -5]]]], [[8, 15, 7, 9, 2], [v = 1, 3^(1/2) < u, And(0 < x,x < 1
), u^2+x < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [3, 3], [1/2, 1/2],
[11, 11], [-3397775/1048576, -1698887/524288]]]], [[8, 15, 7, 9, 3], [v = 1, 3
^(1/2) < u, And(0 < x,x < 1), u^2+x < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[1, 1], [3, 3], [1/2, 1/2], [11, 11], [0, 0]]]], [[8, 15,
7, 9, 4], [v = 1, 3^(1/2) < u, And(0 < x,x < 1), u^2+x < y, z = (y-x)^(1/2)],
[regular_chain, [[1, 1], [3, 3], [1/2, 1/2], [11, 11], [1698887/524288, 
3397775/1048576]]]], [[8, 15, 7, 9, 5], [v = 1, 3^(1/2) < u, And(0 < x,x < 1),
u^2+x < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [3, 3], [1/2, 1/2], [11,
11], [5, 5]]]], [[9, 5, 11, 5, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2)
< u,u < -v), 1 < x, And(x < y,y < x-u^2+v^2+1), z < -(y-x)^(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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < x-u^2+v^2+1), z = (y-x)^(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(x < y,y < x-u^2+v^2+1), (y-x)^(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, x-u^2+v^2+1 < y, z < -(y-x)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [2, 2], [5, 5], [-3, -3]]]], [[9, 7, 11, 9, 2], [
And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, x-u^2+v^2+1 < y
, z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [2, 2], [5, 5], [-1816187/1048576, -\
3632373/2097152]]]], [[9, 7, 11, 9, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u
< -(v^2-1)^(1/2)), 1 < x, x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[9, 7, 11, 9,
4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, x-u^2+v^2+
1 < y, z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3949363/4194304, -3949363/4194304], [2, 2], [5, 5], [908093/524288, 1816187/
1048576]]]], [[9, 7, 11, 9, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-\
1)^(1/2)), 1 < x, x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [5,
5], [3, 3]]]], [[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 < 2*u^2-2*v^2, z = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [0, 0], [-2576463/1048576, -1288231/
524288], [-4, -4], [0, 0]]]], [[9, 10, 9, 7, 1], [And(1 < v,v < 2^(1/2)), u =
(v^2-1)^(1/2), 1 < x, x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [354469/524288, 708939/1048576], [2, 2], [5, 5], [-\
3, -3]]]], [[9, 10, 9, 7, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), 1 <
x, x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [354469/524288, 708939/1048576], [2, 2], [5, 5], [-1816187/1048576,
-3632373/2097152]]]], [[9, 10, 9, 7, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^
(1/2), 1 < x, x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [2, 2],
[5, 5], [-1/4194304, -1/4194304]]]], [[9, 10, 9, 7, 4], [And(1 < v,v < 2^(1/2)
), u = (v^2-1)^(1/2), 1 < x, x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [2, 2], [5
, 5], [908093/524288, 1816187/1048576]]]], [[9, 10, 9, 7, 5], [And(1 < v,v < 2
^(1/2)), u = (v^2-1)^(1/2), 1 < x, x+2 < y, (y-x)^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [2, 2],
[5, 5], [3, 3]]]], [[9, 16, 8, 1, 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], [-1, -1], [0, 0]]]], [[10, 1, 4, 9, 1
], [v = 2^(1/2), u < -2, x = -1, u^2-2 < y, z < -(y+1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-3, -3], [-1, -1], [8, 8], [-4, -4]]]], [[
10, 1, 4, 9, 2], [v = 2^(1/2), u < -2, x = -1, u^2-2 < y, z = -(y+1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1, -1], [8, 8],
[-3, -3]]]], [[10, 1, 4, 9, 3], [v = 2^(1/2), u < -2, x = -1, u^2-2 < y, And(-
(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [-1, -1], [8, 8], [0, 0]]]], [[10, 1, 4, 9, 4], [v = 2^(1/
2), u < -2, x = -1, u^2-2 < y, z = (y+1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [-1, -1], [8, 8], [3, 3]]]], [[10, 1, 4, 9
, 5], [v = 2^(1/2), u < -2, x = -1, u^2-2 < y, (y+1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1, -1], [8, 8],
[4, 4]]]], [[10, 5, 2, 2, 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], [-\
1546383/1048576, -773191/524288], [-1, -1]]]], [[10, 5, 2, 2, 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], [-1546383/1048576, -773191/524288], [0, 0]]]
], [[10, 5, 2, 2, 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], [-1546383/
1048576, -773191/524288], [1, 1]]]], [[10, 7, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 7, 1], [v = 2^(1/2), u = 1, And(0 < x,x < 1), x+2 < y, z < -(y-x)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1/2, 1/2],
[4, 4], [-3, -3]]]], [[10, 12, 7, 7, 2], [v = 2^(1/2), u = 1, And(0 < x,x < 1)
, x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [1, 1], [1/2, 1/2], [4, 4], [-7846825/4194304, -980853/524288]]]], [[10, 12
, 7, 7, 3], [v = 2^(1/2), u = 1, And(0 < x,x < 1), x+2 < y, And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1]
, [1/2, 1/2], [4, 4], [0, 0]]]], [[10, 12, 7, 7, 4], [v = 2^(1/2), u = 1, And(
0 < x,x < 1), x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [1/2, 1/2], [4, 4], [980853/524288, 1961707/1048576]
]]], [[10, 12, 7, 7, 5], [v = 2^(1/2), u = 1, And(0 < x,x < 1), x+2 < y, (y-x)
^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1/2,
1/2], [4, 4], [3, 3]]]], [[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
< -4, z = z], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-\
3, -3], [-5, -5], [0, 0]]]], [[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 = 0, z = z], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [1, 1], [0, 0], [0, 0]]]], [[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 < 0, z
= z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [1, 1],
[-1, -1], [0, 0]]]], [[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 < -y^(1/2)], [regular_chain, [[3,
3], [0, 0], [0, 0], [11, 11], [-5, -5]]]], [[11, 11, 6, 7, 2], [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 = -y^(1/2)
], [regular_chain, [[3, 3], [0, 0], [0, 0], [11, 11], [-1738867/524288, -\
3477733/1048576]]]], [[11, 11, 6, 7, 3], [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, And(-y^(1/2) < z,z < y^(1/2))], [
regular_chain, [[3, 3], [0, 0], [0, 0], [11, 11], [0, 0]]]], [[11, 11, 6, 7, 4
], [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 = y^(1/2)], [regular_chain, [[3, 3], [0, 0], [0, 0], [11, 11], [3477733
/1048576, 1738867/524288]]]], [[11, 11, 6, 7, 5], [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, y^(1/2) < z], [
regular_chain, [[3, 3], [0, 0], [0, 0], [11, 11], [5, 5]]]], [[11, 15, 4, 4, 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], [-2, -2]]]], [[11, 15, 4, 4, 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], [-735979/1048576, -1471957/2097152]]]]
, [[11, 15, 4, 4, 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], [-1/4194304, -1/4194304]]]], [[11, 15, 4, 4, 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], [367989/524288, 735979/1048576]]]], [[11, 15
, 4, 4, 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], [2, 2]]]], [[11, 17, 4
, 8, 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], [-3, -3]]]], [[11, 17, 4, 8, 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], [-1281417/1048576, -160177/131072]]]], [[11, 17
, 4, 8, 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], [0, 0
]]]], [[11, 17, 4, 8, 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], [160177/131072, 
1281417/1048576]]]], [[11, 17, 4, 8, 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], [3, 3
]]]], [[1, 1, 4, 7, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -1, And(0 < y,y
< u^2-v^2), z < -(y+1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-1, -1],
[8, 8], [-4, -4]]]], [[1, 1, 4, 7, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), x =
-1, And(0 < y,y < u^2-v^2), z = -(y+1)^(1/2)], [regular_chain, [[-3, -3], [-5,
-5], [-1, -1], [8, 8], [-3, -3]]]], [[1, 1, 4, 7, 3], [v < -2^(1/2), u < -(v^2
+2)^(1/2), x = -1, And(0 < y,y < u^2-v^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2
))], [regular_chain, [[-3, -3], [-5, -5], [-1, -1], [8, 8], [0, 0]]]], [[1, 1,
4, 7, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -1, And(0 < y,y < u^2-v^2), z
= (y+1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-1, -1], [8, 8], [3, 3]]
]], [[1, 1, 4, 7, 5], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -1, And(0 < y,y <
u^2-v^2), (y+1)^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5], [-1, -1], [8,
8], [4, 4]]]], [[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 < -2*u^2+2*v^2, z = z], [regular_chain, [[-3,
-3], [-3396811/1048576, -3396811/1048576], [-2615197/1048576, -653799/262144],
[-4, -4], [0, 0]]]], [[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-u^2+v^2+1 < y,y < 0), z < -(y-x)^(1/2)
], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-4, -4]
, [-391029/524288, -391029/524288], [-3, -3]]]], [[1, 9, 1, 7, 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(x-u^2+v^2+1
< y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608,
-22960369/8388608], [-4, -4], [-391029/524288, -391029/524288], [-7566241/
4194304, -236445/131072]]]], [[1, 9, 1, 7, 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(x-u^2+v^2+1 < y,y < 0), And(-(y
-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-22960369/8388608
, -22960369/8388608], [-4, -4], [-391029/524288, -391029/524288], [0, 0]]]], [
[1, 9, 1, 7, 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(x-u^2+v^2+1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-\
3, -3], [-22960369/8388608, -22960369/8388608], [-4, -4], [-391029/524288, -\
391029/524288], [236445/131072, 1891561/1048576]]]], [[1, 9, 1, 7, 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(x-u^2+v
^2+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [-4, -4], [-391029/524288, -391029/524288], [3, 3
]]]], [[1, 10, 8, 1, 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], [
-1, -1], [0, 0]]]], [[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+2), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3
], [741455/262144, 2965821/1048576], [-3/2, -3/2], [1/4, 1/4], [-3, -3]]]], [[
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+2), z = -(y-x)^(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, 5, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-2 < x,x < -1), And
(0 < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3,
-3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [1/4, 1/4], [0, 0]]]], [[
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+2), z = (y-x)^(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, 5, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-2 < x,x < -1), And(0
< y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [741455/262144, 
2965821/1048576], [-3/2, -3/2], [1/4, 1/4], [3, 3]]]], [[1, 16, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 1, 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], [-1, -1], [0,
0]]]], [[2, 2, 6, 2, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 4, 2, 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, 8, 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], [777021/1048576, 388511/524288
], [-3, -3]]]], [[2, 17, 3, 8, 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], [777021/1048576, 388511/524288], [-825991/
524288, -3303963/2097152]]]], [[2, 17, 3, 8, 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], [777021/
1048576, 388511/524288], [-1/4194304, -1/4194304]]]], [[2, 17, 3, 8, 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], [777021/
1048576, 388511/524288], [1651981/1048576, 825991/524288]]]], [[2, 17, 3, 8, 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], [
777021/1048576, 388511/524288], [3, 3]]]], [[2, 19, 1, 2, 1], [v = -2^(1/2), 2
< u, x < -u^2+1, y = x-u^2+3, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [-9, -9], [-15, -15], [0, 0]]]], [[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 < -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [3, 3], [-3, -3]]]
], [[3, 3, 4, 9, 2], [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 = -(y+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-\
1, -1], [3, 3], [-2, -2]]]], [[3, 3, 4, 9, 3], [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, And(-(y+1)^(1/2)
< z,z < (y+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-14373233/8388608, -14373233/8388608], [-1, -1], [3, 3], [0, 0]]]], [[3, 3, 4
, 9, 4], [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 = (y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [3, 3], [2
, 2]]]], [[3, 3, 4, 9, 5], [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, (y+1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-\
1, -1], [3, 3], [3, 3]]]], [[3, 5, 4, 3, 1], [And(-2^(1/2) < v,v < -1), And(-(
v^2+1)^(1/2) < u,u < v), x = -1, And(-1 < y,y < -u^2+v^2), z < -(y+1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1, -1], [-1538813/2097152, -1538813/2097152], [-2, -2]]]],
[[3, 5, 4, 3, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x
= -1, And(-1 < y,y < -u^2+v^2), z = -(y+1)^(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, 3, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -\
1, And(-1 < y,y < -u^2+v^2), And(-(y+1)^(1/2) < z,z < (y+1)^(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, 3, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2
) < u,u < v), x = -1, And(-1 < y,y < -u^2+v^2), z = (y+1)^(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, 3, 5], [And(-2^(1/2) < v,v < -1), And(-
(v^2+1)^(1/2) < u,u < v), x = -1, And(-1 < y,y < -u^2+v^2), (y+1)^(1/2) < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1, -1], [-1538813/2097152, -1538813/2097152], [2, 2]]]], [
[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-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-\
5390713/4194304, -5390713/4194304], [2, 2], [-3, -3]]]], [[3, 11, 3, 9, 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), x-u^2+v^2+1 < y, z = -(y-x)^(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, 9
, 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), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9, 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), x-u^2+v^2+1 < y, z = (y-x)^(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, 9, 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), x-u^2+v^2+1 < y, (y-x)^(1/2) < z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [-5390713/4194304, -5390713/4194304], [2, 2], [3, 3]]]], [[3,
13, 4, 8, 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], [-3, -3]]]], [[3, 13, 4, 8, 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], [-1270261/1048576
, -317565/262144]]]], [[3, 13, 4, 8, 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],
[0, 0]]]], [[3, 13, 4, 8, 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], [317565/262144, 1270261/1048576]]]], [[3,
13, 4, 8, 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], [3, 3]]]], [[3, 14, 1, 6, 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, 6, 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, 6, 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, 6,
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, 6, 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, 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, u^2-v^
2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [2, 2], [6, 6], [-3, -3]]]], [[3, 15
, 11, 9, 2], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2
)), 1 < x, u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [2, 2], [6, 6], [-\
2, -2]]]], [[3, 15, 11, 9, 3], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), 1 < x, u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288,
898327/524288], [2, 2], [6, 6], [0, 0]]]], [[3, 15, 11, 9, 4], [And(-2^(1/2) <
v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, u^2-v^2+x+1 < y, z
= (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327
/524288, 898327/524288], [2, 2], [6, 6], [2, 2]]]], [[3, 15, 11, 9, 5], [And(-
2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, u^2-v^2+
x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [2, 2], [6, 6], [3, 3]]]], [[4, 4, 2
, 1, 1], [v = -1, u = -2^(1/2), x = -2, y < -2, z = z], [regular_chain, [[-1,
-1], [-1482911/1048576, -741455/524288], [-2, -2], [-3, -3], [0, 0]]]], [[4, 6
, 1, 2, 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, 2, 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, 2, 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, 1,
7, 1], [v = -1, u = 1, x < -1, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1,
-1], [1, 1], [-2, -2], [1, 1], [-3, -3]]]], [[4, 10, 1, 7, 2], [v = -1, u = 1,
x < -1, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [-2, -2],
[1, 1], [-1816187/1048576, -3632373/2097152]]]], [[4, 10, 1, 7, 3], [v = -1, u
= 1, x < -1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
-1, -1], [1, 1], [-2, -2], [1, 1], [-1/4194304, -1/4194304]]]], [[4, 10, 1, 7,
4], [v = -1, u = 1, x < -1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1]
, [1, 1], [-2, -2], [1, 1], [908093/524288, 1816187/1048576]]]], [[4, 10, 1, 7
, 5], [v = -1, u = 1, x < -1, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-1, -\
1], [1, 1], [-2, -2], [1, 1], [3, 3]]]], [[4, 12, 3, 3, 1], [v = -1, u = 2^(1/
2), And(-2 < x,x < -1), And(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [
[-1, -1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [-3/4, -3/4], [-2, -\
2]]]], [[4, 12, 3, 3, 2], [v = -1, u = 2^(1/2), And(-2 < x,x < -1), And(x < y,
y < 0), z = -(y-x)^(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, 3, 3], [v = -1, u = 2^(1/2), And(-2 < x,x < -1), And(x < y,y < 0),
And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [v = -1, u = 2^(1/2), And(-2 < x,x < -1), And(x < y,y
< 0), z = (y-x)^(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, 3, 5], [v = -1, u = 2^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), (y-x
)^(1/2) < z], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3
/2, -3/2], [-3/4, -3/4], [2, 2]]]], [[5, 2, 5, 5, 1], [And(-1 < v,v < 0), u =
-(v^2+2)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(
y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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+2), z < -(y-
x)^(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, 5, 2], [And(-1 < v,v < 0), u
= -(v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2), z = -(y-x)^(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, 5, 3], [And(-1 <
v,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2), And(-(y-
x)^(1/2) < z,z < (y-x)^(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, 5, 4], [
And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2),
z = (y-x)^(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, 5, 5], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(0 <
y,y < x+2), (y-x)^(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, 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(x-u^2+v^2+1 < 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = 0, And(-1 < u,u < 0), And(u^2-1 <
x,x < 0), And(0 < y,y < x-u^2+1), z < -(y-x)^(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(0 < y,y < x-u^2+1), z = -(y-x)
^(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(0 < y,y < x-u^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(0 < y,y
< x-u^2+1), z = (y-x)^(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(0 < y,y < x-u^2+1), (y-x)^(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 =
x, z < 0], [regular_chain, [[0, 0], [3, 3], [-1/2, -1/2], [-1/2, -1/2], [-1, -\
1]]]], [[6, 11, 5, 4, 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, 4, 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, 7, 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 < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [9, 9]
, [111/8, 111/8], [-4, -4]]]], [[7, 1, 11, 7, 2], [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 = -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [9, 9], [111/8, 111/8], [-1157597/524288
, -2315193/1048576]]]], [[7, 1, 11, 7, 3], [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), And(-(y-x)^(1/2) < z,z < (y-x)^
(1/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [9, 9], [111/8, 111/8], [0, 0]
]]], [[7, 1, 11, 7, 4], [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 = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3
, -3], [9, 9], [111/8, 111/8], [2315193/1048576, 1157597/524288]]]], [[7, 1, 
11, 7, 5], [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), (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3, -3], [9, 9],
[111/8, 111/8], [4, 4]]]], [[7, 7, 9, 4, 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, 4, 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, 4, 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, 3, 1], [And(0 < v,v < 1)
, And(v < u,u < (v^2+1)^(1/2)), x = 1, And(0 < y,y < 1), z = z], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1, 1], [1/2,
1/2], [0, 0]]]], [[7, 10, 9, 1, 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], [-1, -1], [0, 0]]]], [[7, 12, 5, 9, 1], [And(0 < v,v < 1), u = (v^2
+2)^(1/2), And(-1 < x,x < 0), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/
2, 1/2], [3/2, 3/2], [-1/2, -1/2], [4, 4], [-4, -4]]]], [[7, 12, 5, 9, 2], [
And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), x+3 < y, z = -(y-x)^(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, 9, 3], [And(0 < v,v < 1), u = (v^2+
2)^(1/2), And(-1 < x,x < 0), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1/2, -1/2], [4, 4], [0, 0]]]], [[7,
12, 5, 9, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), x+3 < y
, z = (y-x)^(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, 9, 5], [And(0 < v,v < 1)
, u = (v^2+2)^(1/2), And(-1 < x,x < 0), x+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1/2, -1/2], [4, 4], [4, 4]]]], [[8,
4, 9, 5, 1], [v = 1, u = -2^(1/2), 1 < x, And(x < y,y < x+2), z < -(y-x)^(1/2)
], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [2, 2], [3, 3]
, [-2, -2]]]], [[8, 4, 9, 5, 2], [v = 1, u = -2^(1/2), 1 < x, And(x < y,y < x+
2), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [2, 2], [3, 3], [-1, -1]]]], [[8, 4, 9, 5, 3], [v = 1, u = -2^(1/2),
1 < x, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [2, 2], [3, 3], [0
, 0]]]], [[8, 4, 9, 5, 4], [v = 1, u = -2^(1/2), 1 < x, And(x < y,y < x+2), z
= (y-x)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [
2, 2], [3, 3], [1, 1]]]], [[8, 4, 9, 5, 5], [v = 1, u = -2^(1/2), 1 < x, And(x
< y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-1482911/1048576, -\
741455/524288], [2, 2], [3, 3], [2, 2]]]], [[8, 7, 1, 2, 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, 2, 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, 2, 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, 1, 9, 1], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, 0 < y, z < -(y-x)^(
1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3, -3],
[1, 1], [-3, -3]]]], [[8, 11, 1, 9, 2], [v = 1, And(1 < u,u < 2^(1/2)), x < -u
^2, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-3, -3], [1, 1], [-2, -2]]]], [[8, 11, 1, 9, 3], [v = 1, 
And(1 < u,u < 2^(1/2)), x < -u^2, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3, -3], [1,
1], [0, 0]]]], [[8, 11, 1, 9, 4], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, 0
< y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-3, -3], [1, 1], [2, 2]]]], [[8, 11, 1, 9, 5], [v = 1, And(1 < u,u
< 2^(1/2)), x < -u^2, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-3, -3], [1, 1], [3, 3]]]], [[8, 12, 9, 6,
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,
6, 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, 6, 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, 6, 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, 6,
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, 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], [-1299559/524288, -2599117/1048576], [-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], [-1299559/524288, -2599117/1048576], [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], [-1299559/524288, -2599117/1048576], [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(x
< y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [-5733117/
2097152, -5733117/2097152], [-2, -2]]]], [[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(x < y,y < x-u^2+v^2+
1), z = -(y-x)^(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, 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(x < y,y < x-
u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(x < y,y < x-u^2+v^2+1), z = (y-x)^(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, 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(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [-\
5733117/2097152, -5733117/2097152], [2, 2]]]], [[9, 11, 11, 2, 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, 13, 11, 6, 1], [And(1 < v,v < 2^(1/2
)), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [2, 2], [663873/262144, 2655493/1048576], [-2, -2]]]], [[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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2], [663873/262144,
2655493/1048576], [-765155/1048576, -1530309/2097152]]]], [[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-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], [2, 2],
[663873/262144, 2655493/1048576], [-1/4194304, -1/4194304]]]], [[9, 13, 11, 6,
4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y = x-u^2+v^
2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [2, 2], [663873/262144, 2655493/
1048576], [382577/524288, 765155/1048576]]]], [[9, 13, 11, 6, 5], [And(1 < v,v
< 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y = x-u^2+v^2+1, (-u^2+v^2+1)
^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [2, 2], [663873/262144, 2655493/1048576], [2, 2]]]]
, [[10, 2, 4, 2, 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, 4, 1, 1, 1], [v = 2^(1/2), u = -3^(1/2), x < -2, y < x, z =
z], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -\
3632373/2097152], [-3, -3], [-4, -4], [0, 0]]]], [[10, 8, 2, 1, 1], [v = 2^(1/
2), u = -1, x = -2, y < -2, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [-2, -2], [-3, -3], [0, 0]]]], [[10, 9, 11, 7, 1], [v = 2^
(1/2), And(-1 < u,u < 0), 1 < x, And(x < y,y < x-u^2+3), z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [2, 2], [27/8,
27/8], [-3, -3]]]], [[10, 9, 11, 7, 2], [v = 2^(1/2), And(-1 < u,u < 0), 1 < x
, And(x < y,y < x-u^2+3), z = -(y-x)^(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, 7, 3], [v = 2^(1/2), And(-1 < u,u < 0), 1 < x,
And(x < y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [2, 2], [27/8, 27/8], [0, 0
]]]], [[10, 9, 11, 7, 4], [v = 2^(1/2), And(-1 < u,u < 0), 1 < x, And(x < y,y
< x-u^2+3), z = (y-x)^(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, 7, 5], [v = 2^(1/2), And(-1 < u,u < 0), 1 < x, And(x < y,y < x-u^2+
3), (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2
, -1/2], [2, 2], [27/8, 27/8], [3, 3]]]], [[10, 15, 10, 1, 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], [-1, -1], [0, 0]
]]], [[10, 17, 8, 7, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, 2*u^
2-4 < y, z < -(y-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [505467/1048576, 126367/262144],
[4, 4], [-3, -3]]]], [[10, 17, 8, 7, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2),
x = u^2-3, 2*u^2-4 < y, z = -(y-u^2+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,
7, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, 2*u^2-4 < y, And(-(y-u
^2+3)^(1/2) < z,z < (y-u^2+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, 7, 4], [v = 2^(1/
2), And(3^(1/2) < u,u < 2), x = u^2-3, 2*u^2-4 < y, z = (y-u^2+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, 7, 5], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-\
3, 2*u^2-4 < y, (y-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911
/1048576], [3913339/2097152, 3913339/2097152], [505467/1048576, 126367/262144]
, [4, 4], [3, 3]]]], [[10, 18, 5, 9, 1], [v = 2^(1/2), u = 2, And(-1 < x,x < 0
), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [-1/2, -1/2], [4, 4], [-4, -4]]]], [[10, 18, 5, 9, 2], [v =
2^(1/2), u = 2, And(-1 < x,x < 0), x+3 < y, z = -(y-x)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [2, 2], [-1/2, -1/2], [4, 4], [-1112183/
524288, -2224365/1048576]]]], [[10, 18, 5, 9, 3], [v = 2^(1/2), u = 2, And(-1
< x,x < 0), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [
[741455/524288, 1482911/1048576], [2, 2], [-1/2, -1/2], [4, 4], [0, 0]]]], [[
10, 18, 5, 9, 4], [v = 2^(1/2), u = 2, And(-1 < x,x < 0), x+3 < y, z = (y-x)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1/2, -1/2]
, [4, 4], [2224365/1048576, 1112183/524288]]]], [[10, 18, 5, 9, 5], [v = 2^(1/
2), u = 2, And(-1 < x,x < 0), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [2, 2], [-1/2, -1/2], [4, 4], [4, 4]]]], [[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
< x-u^2+v^2+1, z = z], [regular_chain, [[3, 3], [-5, -5], [-9, -9], [-25, -25]
, [0, 0]]]], [[11, 6, 7, 7, 1], [2^(1/2) < v, u = -v, 1 < x, x+1 < y, z < -(y-
x)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [2, 2], [4, 4], [-3, -3]]]], [[
11, 6, 7, 7, 2], [2^(1/2) < v, u = -v, 1 < x, x+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-3, -3], [2, 2], [4, 4], [-1482911/1048576, -741455/
524288]]]], [[11, 6, 7, 7, 3], [2^(1/2) < v, u = -v, 1 < x, x+1 < y, And(-(y-x
)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-3, -3], [2, 2], [4,
4], [0, 0]]]], [[11, 6, 7, 7, 4], [2^(1/2) < v, u = -v, 1 < x, x+1 < y, z = (y
-x)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [2, 2], [4, 4], [741455/524288,
1482911/1048576]]]], [[11, 6, 7, 7, 5], [2^(1/2) < v, u = -v, 1 < x, x+1 < y,
(y-x)^(1/2) < z], [regular_chain, [[3, 3], [-3, -3], [2, 2], [4, 4], [3, 3]]]]
, [[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 < -1), z = z], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [-1, -1], [-3/2, -3/2], [0, 0]]]], [[11, 14, 1,
2, 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, 2, 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, 2, 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, 1, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), x < -\
3, y < x-1, z = z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288]
, [-4, -4], [-6, -6], [0, 0]]]], [[11, 21, 8, 9, 1], [2^(1/2) < v, (v^2+2)^(1/
2) < u, x = 1, u^2-v^2+2 < y, z < -(y-1)^(1/2)], [regular_chain, [[3, 3], [5,
5], [1, 1], [19, 19], [-6, -6]]]], [[11, 21, 8, 9, 2], [2^(1/2) < v, (v^2+2)^(
1/2) < u, x = 1, u^2-v^2+2 < y, z = -(y-1)^(1/2)], [regular_chain, [[3, 3], [5
, 5], [1, 1], [19, 19], [-1112183/262144, -4448731/1048576]]]], [[11, 21, 8, 9
, 3], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 1, u^2-v^2+2 < y, 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, 9, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 1, u^2-v^2+2 <
y, z = (y-1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [1, 1], [19, 19], [
4448731/1048576, 1112183/262144]]]], [[11, 21, 8, 9, 5], [2^(1/2) < v, (v^2+2)
^(1/2) < u, x = 1, u^2-v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[3, 3], [
5, 5], [1, 1], [19, 19], [6, 6]]]], [[1, 3, 11, 9, 1], [v < -2^(1/2), And(-(v^
2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, z < -(y-x)^(1/2)],
[regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [2, 2], [6, 6
], [-3, -3]]]], [[1, 3, 11, 9, 2], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -
(v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-\
3, -3], [-3396811/1048576, -3396811/1048576], [2, 2], [6, 6], [-2, -2]]]], [[1
, 3, 11, 9, 3], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 <
x, u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
-3, -3], [-3396811/1048576, -3396811/1048576], [2, 2], [6, 6], [0, 0]]]], [[1,
3, 11, 9, 4], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x
, u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [2, 2], [6, 6], [2, 2]]]], [[1, 3, 11, 9, 5], [v <
-2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y,
(y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [2, 2], [6, 6], [3, 3]]]], [[1, 5, 11, 3, 1], [v < -2^(1/2), And(-(v
^2+1)^(1/2) < u,u < v), 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[-3,
-3], [-403851/131072, -403851/131072], [2, 2], [1, 1], [0, 0]]]], [[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(1
< y,y < -u^2+v^2+2), z < -(y-1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [1,
1], [6, 6], [-4, -4]]]], [[1, 11, 8, 7, 2], [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+2), z = -(y-1)^(1/2)], [
regular_chain, [[-3, -3], [0, 0], [1, 1], [6, 6], [-146543/65536, -2344687/
1048576]]]], [[1, 11, 8, 7, 3], [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+2), 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, 7, 4], [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+2), z = (y-1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [
1, 1], [6, 6], [2344687/1048576, 146543/65536]]]], [[1, 11, 8, 7, 5], [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+2), (y-1)^(1/2) < z], [regular_chain, [[-3, -3], [0, 0], [1, 1], [6, 6], [4,
4]]]], [[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 = z], [regular_chain, [[-3, -3], [1435023/524288,
1435023/524288], [0, 0], [-2, -2], [0, 0]]]], [[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 = 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], [517383/524288, 1034767/1048576], [-3, -3]]
]], [[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 = 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], [517383/
524288, 1034767/1048576], [-1281417/1048576, -160177/131072]]]], [[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 = 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], [
517383/524288, 1034767/1048576], [0, 0]]]], [[1, 17, 6, 6, 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], [517383/524288, 1034767/1048576], [160177/131072,
1281417/1048576]]]], [[1, 17, 6, 6, 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], [517383/524288, 1034767/1048576], [3, 3]]]], [[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 < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [-1/2, -1/2], [3, 3], [-3, -3]]]], [[1, 19, 5, 9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [-1/2, -1/2], [3, 3], [-7846825/4194304, -980853/524288]]]],
[[1, 19, 5, 9, 3], [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, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [3
, 3], [0, 0]]]], [[1, 19, 5, 9, 4], [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 = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [3
, 3], [980853/524288, 1961707/1048576]]]], [[1, 19, 5, 9, 5], [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,
(y-x)^(1/2) < z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576
], [-1/2, -1/2], [3, 3], [3, 3]]]], [[2, 3, 7, 1, 1], [v = -2^(1/2), And(-2 <
u,u < -3^(1/2)), And(0 < x,x < u^2-3), y < x-u^2+3, z = z], [regular_chain, [[
-1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [
505467/2097152, 505467/2097152], [-2, -2], [0, 0]]]], [[2, 5, 6, 2, 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], [-275385/524288, -1101539/2097152], [-1, -1
]]]], [[2, 5, 6, 2, 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], [-275385/
524288, -1101539/2097152], [0, 0]]]], [[2, 5, 6, 2, 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], [-275385/524288, -1101539/2097152], [1, 1]]]], [[2,
6, 3, 7, 1], [v = -2^(1/2), u = v, And(-1 < x,x < 0), x+1 < y, z < -(y-x)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [2, 2], [-3, -3]]]], [[2, 6, 3, 7, 2], [v = -2^(
1/2), u = v, And(-1 < x,x < 0), x+1 < y, z = -(y-x)^(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, 7, 3], [v = -
2^(1/2), u = v, And(-1 < x,x < 0), x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/
2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576,
-741455/524288], [-1/2, -1/2], [2, 2], [0, 0]]]], [[2, 6, 3, 7, 4], [v = -2^(1
/2), u = v, And(-1 < x,x < 0), x+1 < y, z = (y-x)^(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, 7, 5], [v = -2^(
1/2), u = v, And(-1 < x,x < 0), x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-1/2, -\
1/2], [2, 2], [3, 3]]]], [[2, 8, 5, 1, 1], [v = -2^(1/2), u = -1, And(-1 < x,x
< 0), y < x, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1,
-1], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[2, 13, 11, 1, 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], [-1, -1], [0, 0]]]
], [[2, 15, 11, 9, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), 1 < x, u^2+x-1
< y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [2, 2], [5, 5], [-3, -3]]]], [[2, 15, 11, 9
, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), 1 < x, u^2+x-1 < y, z = -(y-x)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152,
3299097/2097152], [2, 2], [5, 5], [-1816187/1048576, -3632373/2097152]]]], [[2
, 15, 11, 9, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), 1 < x, u^2+x-1 < y, 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [2, 2], [5, 5], [-1/
4194304, -1/4194304]]]], [[2, 15, 11, 9, 4], [v = -2^(1/2), And(-v < u,u < 3^(
1/2)), 1 < x, u^2+x-1 < y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [2, 2], [5, 5],
[908093/524288, 1816187/1048576]]]], [[2, 15, 11, 9, 5], [v = -2^(1/2), And(-v
< u,u < 3^(1/2)), 1 < x, u^2+x-1 < y, (y-x)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [2, 2],
[5, 5], [3, 3]]]], [[2, 19, 8, 9, 1], [v = -2^(1/2), 2 < u, x = 1, u^2 < y, z
< -(y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3],
[1, 1], [10, 10], [-4, -4]]]], [[2, 19, 8, 9, 2], [v = -2^(1/2), 2 < u, x = 1,
u^2 < y, z = -(y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [3, 3], [1, 1], [10, 10], [-3, -3]]]], [[2, 19, 8, 9, 3], [v = -2^(1/2), 2
< u, x = 1, u^2 < y, 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, 9, 4], [v = -2^(1/2), 2 < u, x = 1, u^2 < y, z = (y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [1, 1], [10, 10],
[3, 3]]]], [[2, 19, 8, 9, 5], [v = -2^(1/2), 2 < u, x = 1, u^2 < y, (y-1)^(1/2
) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [1, 1], [
10, 10], [4, 4]]]], [[3, 2, 4, 3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^
(1/2), x = -1, And(-2 < y,y < -1), z = z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1, -1], [-3/2, -3/2
], [0, 0]]]], [[3, 8, 1, 7, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2),
x < -2, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-1417877/2097152, -354469/524288], [-3, -3], [1, 1], [-3, -3]]]],
[[3, 8, 1, 7, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -2, 0 < y
, z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [-3, -3], [1, 1], [-2, -2]]]], [[3, 8, 1, 7,
3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -2, 0 < y, And(-(y-x)^(
1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [-3, -3], [1, 1], [0, 0]]]], [[3
, 8, 1, 7, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -2, 0 < y, z
= (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [-3, -3], [1, 1], [2, 2]]]], [[3, 8, 1, 7, 5
], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -2, 0 < y, (y-x)^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152,
-354469/524288], [-3, -3], [1, 1], [3, 3]]]], [[3, 10, 1, 1, 1], [And(-2^(1/2)
< v,v < -1), u = (v^2-1)^(1/2), x < -2, y < x, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-3, -3],
[-4, -4], [0, 0]]]], [[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 = u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10, -10], [-\
1527887/1048576, -763943/524288], [-4, -4]]]], [[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 = u^2-v^2+x+1, z = -(u^2-v
^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [
-10, -10], [-1527887/1048576, -763943/524288], [-1532401/524288, -24518415/
8388608]]]], [[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 = u^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], [-1527887/1048576, -763943/524288], [-7/16777216, -7/16777216]]]], [[3, 
17, 1, 6, 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], [-1527887/1048576, -763943/524288], [
3064801/1048576, 1532401/524288]]]], [[3, 17, 1, 6, 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],
[-1527887/1048576, -763943/524288], [4, 4]]]], [[4, 1, 7, 9, 1], [v = -1, u <
-3^(1/2), And(0 < x,x < 1), u^2+x < y, z < -(y-x)^(1/2)], [regular_chain, [[-1
, -1], [-3, -3], [1/2, 1/2], [11, 11], [-5, -5]]]], [[4, 1, 7, 9, 2], [v = -1,
u < -3^(1/2), And(0 < x,x < 1), u^2+x < y, z = -(y-x)^(1/2)], [regular_chain,
[[-1, -1], [-3, -3], [1/2, 1/2], [11, 11], [-3397775/1048576, -1698887/524288]
]]], [[4, 1, 7, 9, 3], [v = -1, u < -3^(1/2), And(0 < x,x < 1), u^2+x < y, And
(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-3, -3], [1/2
, 1/2], [11, 11], [0, 0]]]], [[4, 1, 7, 9, 4], [v = -1, u < -3^(1/2), And(0 <
x,x < 1), u^2+x < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [1
/2, 1/2], [11, 11], [1698887/524288, 3397775/1048576]]]], [[4, 1, 7, 9, 5], [v
= -1, u < -3^(1/2), And(0 < x,x < 1), u^2+x < y, (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [-3, -3], [1/2, 1/2], [11, 11], [5, 5]]]], [[4, 7, 5
, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 1], [v = -1, And(0
< u,u < 1), x = -1, -u^2+1 < y, z < -(y+1)^(1/2)], [regular_chain, [[-1, -1],
[1/2, 1/2], [-1, -1], [2, 2], [-3, -3]]]], [[4, 9, 4, 9, 2], [v = -1, And(0 <
u,u < 1), x = -1, -u^2+1 < y, z = -(y+1)^(1/2)], [regular_chain, [[-1, -1], [1
/2, 1/2], [-1, -1], [2, 2], [-1816187/1048576, -3632373/2097152]]]], [[4, 9, 4
, 9, 3], [v = -1, And(0 < u,u < 1), x = -1, -u^2+1 < y, And(-(y+1)^(1/2) < z,z
< (y+1)^(1/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [2, 2], [-1/
4194304, -1/4194304]]]], [[4, 9, 4, 9, 4], [v = -1, And(0 < u,u < 1), x = -1,
-u^2+1 < y, z = (y+1)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1],
[2, 2], [908093/524288, 1816187/1048576]]]], [[4, 9, 4, 9, 5], [v = -1, And(0
< u,u < 1), x = -1, -u^2+1 < y, (y+1)^(1/2) < z], [regular_chain, [[-1, -1], [
1/2, 1/2], [-1, -1], [2, 2], [3, 3]]]], [[4, 13, 5, 3, 1], [v = -1, And(2^(1/2
) < u,u < 3^(1/2)), And(-1 < x,x < 0), And(x-u^2+2 < y,y < x), z = z], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [-\
49484211/67108864, -49484211/67108864], [0, 0]]]], [[4, 15, 2, 6, 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, 6, 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, 6, 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,
6, 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, 6, 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, 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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)],
[regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1672995
/2097152, -1672995/2097152], [636235/2097152, 636235/2097152], [-3, -3]]]], [[
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(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain,
[[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1672995/2097152, -\
1672995/2097152], [636235/2097152, 636235/2097152], [-1100319/1048576, -550159
/524288]]]], [[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(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-1672995/2097152, -1672995/2097152], [636235/2097152, 
636235/2097152], [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(0 < y,y < u^2-v^2+x+1), z =
(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [-1672995/2097152, -1672995/2097152], [636235/2097152, 636235/
2097152], [550159/524288, 1100319/1048576]]]], [[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(0 < y,y <
u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152], [636235/
2097152, 636235/2097152], [3, 3]]]], [[5, 7, 6, 6, 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, 6, 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, 6,
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, 6, 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, 6, 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, 4, 2, 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, 2, 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, 2, 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, 3, 1], [And(-1 < v,v < 0), u = (v
^2+1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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, 3, 2], [And(-1 < v,v < 0), u = (v^2+1)^
(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(
-1 < x,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [And(-1 < v,v < 0), u = (v^2+1)^(1
/2), And(-1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-1 <
x,x < 0), And(x < y,y < 0), (y-x)^(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
, 7, 5, 1], [v = 0, u = -2^(1/2), And(0 < x,x < 1), And(0 < y,y < x), 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+2 < y,
z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-1/2, -1/2], [3, 3], [-\
3, -3]]]], [[6, 4, 5, 7, 2], [v = 0, u = -1, And(-1 < x,x < 0), x+2 < y, z = -
(y-x)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-1/2, -1/2], [3, 3], [-\
7846825/4194304, -980853/524288]]]], [[6, 4, 5, 7, 3], [v = 0, u = -1, And(-1
< x,x < 0), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [
[0, 0], [-1, -1], [-1/2, -1/2], [3, 3], [0, 0]]]], [[6, 4, 5, 7, 4], [v = 0, u
= -1, And(-1 < x,x < 0), x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[0, 0], [
-1, -1], [-1/2, -1/2], [3, 3], [980853/524288, 1961707/1048576]]]], [[6, 4, 5,
7, 5], [v = 0, u = -1, And(-1 < x,x < 0), x+2 < y, (y-x)^(1/2) < z], [
regular_chain, [[0, 0], [-1, -1], [-1/2, -1/2], [3, 3], [3, 3]]]], [[6, 8, 6,
3, 1], [v = 0, u = 1, x = 0, And(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y <
2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y
< 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2)
< z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y
< 0), (y+1)^(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 = 0, z = z], [regular_chain, [[1/2
, 1/2], [-146543/131072, -1172343/1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[7
, 6, 6, 3, 1], [And(0 < v,v < 1), u = -v, x = 1, And(0 < y,y < 1), z = z], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1, 1], [1/2, 1/2], [0, 0]]]], [[7,
13, 7, 5, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(0 <
y,y < x), 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 = -4, z = z], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-3, -3], [-4, -\
4], [0, 0]]]], [[8, 7, 11, 3, 1], [v = 1, And(-1 < u,u < 0), 1 < x, And(0 < y,
y < x), z = z], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [1, 1], [0, 0]]
]], [[8, 9, 10, 2, 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, 13, 11, 2,
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, 8, 1, 1], [v = 1, 3^(1/2) < u, x = 1, y < -u^2+3, z = z], [regular_chain,
[[1, 1], [3, 3], [1, 1], [-7, -7], [0, 0]]]], [[9, 5, 11, 4, 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, 4, 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, 4, 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, 11, 8, 1], [And(1 < v,v < 2^(1/2)), And(-v <
u,u < -(v^2-1)^(1/2)), 1 < x, y = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [3743933/1048576, 1871967/524288], [-3, -3]]]], [[9,
7, 11, 8, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x,
y = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [3743933/
1048576, 1871967/524288], [-1314069/1048576, -328517/262144]]]], [[9, 7, 11, 8
, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = x-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], [2,
2], [3743933/1048576, 1871967/524288], [0, 0]]]], [[9, 7, 11, 8, 4], [And(1 <
v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = x-u^2+v^2+1, z = (-
u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [2, 2], [3743933/1048576, 1871967/524288],
[328517/262144, 1314069/1048576]]]], [[9, 7, 11, 8, 5], [And(1 < v,v < 2^(1/2)
), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2)
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304,
-3949363/4194304], [2, 2], [3743933/1048576, 1871967/524288], [3, 3]]]], [[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 = 2*u^2-2*v^2, z = z], [regular_chain, [[1265743/1048576,
1265743/1048576], [0, 0], [-2576463/1048576, -1288231/524288], [-6111547/
2097152, -24446187/8388608], [0, 0]]]], [[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 < x, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-3, -3], [-4, -4], [0, 0]]]], [[9, 16, 7, 9, 1], [And(1 < v,v < 2^(
1/2)), u = (v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [1/2, 1/2], [5, 5], [-4, -4]]]], [[9, 16, 7, 9, 2], [And(1 < v,v < 2
^(1/2)), u = (v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y, z = -(y-x)^(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, 9, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(0 < x,x < 1), x+3 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576,
1265743/1048576], [121853/65536, 1949649/1048576], [1/2, 1/2], [5, 5], [0, 0]]
]], [[9, 16, 7, 9, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(0 < x,x
< 1), x+3 < y, z = (y-x)^(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, 9, 5], [And(1 < v,v < 2^(1/2)), u = (
v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [1/2, 1/2]
, [5, 5], [4, 4]]]], [[10, 1, 4, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 2, 3, 1], [v
= 2^(1/2), And(-3^(1/2) < u,u < -v), x = -u^2+1, And(-u^2+1 < 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], [-\
40671917/33554432, -40671917/33554432], [-2, -2]]]], [[10, 5, 2, 3, 2], [v = 2
^(1/2), And(-3^(1/2) < u,u < -v), x = -u^2+1, And(-u^2+1 < 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], [-\
40671917/33554432, -40671917/33554432], [-268683/524288, -1074731/2097152]]]],
[[10, 5, 2, 3, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -u^2+1, And(-u^
2+1 < 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], [-40671917/33554432, -40671917/
33554432], [-1/4194304, -1/4194304]]]], [[10, 5, 2, 3, 4], [v = 2^(1/2), And(-
3^(1/2) < u,u < -v), x = -u^2+1, And(-u^2+1 < 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], [-40671917/33554432, -\
40671917/33554432], [537365/1048576, 268683/524288]]]], [[10, 5, 2, 3, 5], [v
= 2^(1/2), And(-3^(1/2) < u,u < -v), x = -u^2+1, And(-u^2+1 < 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], [-\
40671917/33554432, -40671917/33554432], [2, 2]]]], [[10, 7, 2, 7, 1], [v = 2^(
1/2), And(-v < u,u < -1), x = u^2-3, 0 < y, z < -(y-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-3235683/2097152, -1617841/1048576], [1, 1], [-3, -3]]]], [[10, 7,
2, 7, 2], [v = 2^(1/2), And(-v < u,u < -1), x = u^2-3, 0 < y, z = -(y-u^2+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, 7, 3], [v = 2^(1/2), And(-v < u,u <
-1), x = u^2-3, 0 < y, And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+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, 7, 4], [v = 2^(1/2), And(-v < u,u < -1), x = u^2-3, 0
< y, z = (y-u^2+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, 7, 5], [v = 2^(1/2), 
And(-v < u,u < -1), x = u^2-3, 0 < y, (y-u^2+3)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
3235683/2097152, -1617841/1048576], [1, 1], [3, 3]]]], [[10, 12, 7, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 3, 1], [v = 2^(1/2), u = v, x = 1, And(0 < y,y < 1
), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288,
1482911/1048576], [1, 1], [1/2, 1/2], [0, 0]]]], [[11, 2, 1, 9, 1], [2^(1/2) <
v, u = -(v^2+2)^(1/2), x < -3, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[3,
3], [-1738867/524288, -3477733/1048576], [-4, -4], [1, 1], [-4, -4]]]], [[11,
2, 1, 9, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), x < -3, 0 < y, z = -(y-x)^(1/2)
], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-4, -4], [1,
1], [-146543/65536, -2344687/1048576]]]], [[11, 2, 1, 9, 3], [2^(1/2) < v, u =
-(v^2+2)^(1/2), x < -3, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-4, -4], [1, 1],
[0, 0]]]], [[11, 2, 1, 9, 4], [2^(1/2) < v, u = -(v^2+2)^(1/2), x < -3, 0 < y,
z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576]
, [-4, -4], [1, 1], [2344687/1048576, 146543/65536]]]], [[11, 2, 1, 9, 5], [2^
(1/2) < v, u = -(v^2+2)^(1/2), x < -3, 0 < y, (y-x)^(1/2) < z], [regular_chain
, [[3, 3], [-1738867/524288, -3477733/1048576], [-4, -4], [1, 1], [4, 4]]]], [
[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 < 0, z = z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [1, 1], [-1, -1], [0, 0]]]], [[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 = 0, z = z], [regular_chain, [
[3, 3], [-22960369/8388608, -22960369/8388608], [1, 1], [0, 0], [0, 0]]]], [[
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 = z], [regular_chain, [[3, 3], [0, 0], [1/2,
1/2], [-9, -9], [0, 0]]]], [[11, 15, 4, 3, 1], [2^(1/2) < v, And((v^2-1)^(1/2)
< u,u < v), x = -1, And(-1 < y,y < u^2-v^2), z < -(y+1)^(1/2)], [regular_chain
, [[3, 3], [6111549/2097152, 6111549/2097152], [-1, -1], [-3161161/4194304, -\
3161161/4194304], [-2, -2]]]], [[11, 15, 4, 3, 2], [2^(1/2) < v, And((v^2-1)^(
1/2) < u,u < v), x = -1, And(-1 < y,y < u^2-v^2), z = -(y+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-1, -1], [-\
3161161/4194304, -3161161/4194304], [-16263/32768, -520415/1048576]]]], [[11,
15, 4, 3, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, And(-1 < y,y
< u^2-v^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-1, -1], [-3161161/4194304, -3161161/
4194304], [0, 0]]]], [[11, 15, 4, 3, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u
< v), x = -1, And(-1 < y,y < u^2-v^2), z = (y+1)^(1/2)], [regular_chain, [[3,
3], [6111549/2097152, 6111549/2097152], [-1, -1], [-3161161/4194304, -3161161/
4194304], [520415/1048576, 16263/32768]]]], [[11, 15, 4, 3, 5], [2^(1/2) < v,
And((v^2-1)^(1/2) < u,u < v), x = -1, And(-1 < y,y < u^2-v^2), (y+1)^(1/2) < z
], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-1, -1], [-\
3161161/4194304, -3161161/4194304], [2, 2]]]], [[11, 17, 4, 7, 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 < -(y+1)^(1
/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1, -1], [
517383/2097152, 517383/2097152], [-3, -3]]]], [[11, 17, 4, 7, 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 = -(y+1)^(1/
2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1, -1], [
517383/2097152, 517383/2097152], [-1170799/1048576, -585399/524288]]]], [[11,
17, 4, 7, 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(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-1, -1], [517383/2097152, 517383/2097152], [0,
0]]]], [[11, 17, 4, 7, 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 = (y+1)^(1/2)], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [-1, -1], [517383/2097152, 517383/2097152], [585399/
524288, 1170799/1048576]]]], [[11, 17, 4, 7, 5], [2^(1/2) < v, And(v < u,u < (
v^2+1)^(1/2)), x = -1, And(0 < y,y < u^2-v^2), (y+1)^(1/2) < z], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1, -1], [517383/
2097152, 517383/2097152], [3, 3]]]], [[1, 1, 4, 8, 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, 8, 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, 8, 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,
8, 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, 8, 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, 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 = -2*u^2+2*v^2, z = z]
, [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-2615197/
1048576, -653799/262144], [-200527383/67108864, -100263691/33554432], [0, 0]]]
], [[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-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[
-3, -3], [-22960369/8388608, -22960369/8388608], [-4, -4], [-1564117/1048576,
-391029/262144], [-3, -3]]]], [[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-u^2+v^2+1, z = -(-u^2+v^2+1)
^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-\
4, -4], [-1564117/1048576, -391029/262144], [-3321417/2097152, -415177/262144]
]]], [[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-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],
[-4, -4], [-1564117/1048576, -391029/262144], [0, 0]]]], [[1, 9, 1, 6, 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 = x-u
^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [-4, -4], [-1564117/1048576, -391029/262144], [
415177/262144, 1660709/1048576]]]], [[1, 9, 1, 6, 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 = x-u^2+v^2+1, (-u^2+v^2+1
)^(1/2) < z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608
], [-4, -4], [-1564117/1048576, -391029/262144], [3, 3]]]], [[1, 10, 7, 9, 1],
[v < -2^(1/2), u = -(v^2-2)^(1/2), And(0 < x,x < 1), x+3 < y, z < -(y-x)^(1/2)
], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [1/2, 1/2]
, [5, 5], [-4, -4]]]], [[1, 10, 7, 9, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), 
And(0 < x,x < 1), x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [1/2, 1/2], [5, 5], [-1112183/524288, -\
2224365/1048576]]]], [[1, 10, 7, 9, 3], [v < -2^(1/2), u = -(v^2-2)^(1/2), And
(0 < x,x < 1), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[-3, -3], [-5548543/2097152, -2774271/1048576], [1/2, 1/2], [5, 5], [0, 0]]
]], [[1, 10, 7, 9, 4], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(0 < x,x < 1), x+
3 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -\
2774271/1048576], [1/2, 1/2], [5, 5], [2224365/1048576, 1112183/524288]]]], [[
1, 10, 7, 9, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(0 < x,x < 1), x+3 < y,
(y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/
1048576], [1/2, 1/2], [5, 5], [4, 4]]]], [[1, 14, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 16, 2, 5, 1], [v < -2^(1/2), u = -v, x = -1, 0 < y, z < -(y+1)^(1/2)]
, [regular_chain, [[-3, -3], [3, 3], [-1, -1], [1, 1], [-3, -3]]]], [[1, 16, 2
, 5, 2], [v < -2^(1/2), u = -v, x = -1, 0 < y, z = -(y+1)^(1/2)], [
regular_chain, [[-3, -3], [3, 3], [-1, -1], [1, 1], [-1482911/1048576, -741455
/524288]]]], [[1, 16, 2, 5, 3], [v < -2^(1/2), u = -v, x = -1, 0 < y, And(-(y+
1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-3, -3], [3, 3], [-1, -1], [
1, 1], [0, 0]]]], [[1, 16, 2, 5, 4], [v < -2^(1/2), u = -v, x = -1, 0 < y, z =
(y+1)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [-1, -1], [1, 1], [741455/
524288, 1482911/1048576]]]], [[1, 16, 2, 5, 5], [v < -2^(1/2), u = -v, x = -1,
0 < y, (y+1)^(1/2) < z], [regular_chain, [[-3, -3], [3, 3], [-1, -1], [1, 1],
[3, 3]]]], [[1, 21, 10, 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 < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5
], [15, 15], [33, 33], [-6, -6]]]], [[1, 21, 10, 7, 2], [v < -2^(1/2), (v^2+2)
^(1/2) < u, x = u^2-v^2-1, 2*u^2-2*v^2 < y, z = -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [5, 5], [15, 15], [33, 33], [-1112183/262144, -\
4448731/1048576]]]], [[1, 21, 10, 7, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, x =
u^2-v^2-1, 2*u^2-2*v^2 < y, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/
2))], [regular_chain, [[-3, -3], [5, 5], [15, 15], [33, 33], [0, 0]]]], [[1, 
21, 10, 7, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = u^2-v^2-1, 2*u^2-2*v^2 <
y, z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [15, 15], [33,
33], [4448731/1048576, 1112183/262144]]]], [[1, 21, 10, 7, 5], [v < -2^(1/2),
(v^2+2)^(1/2) < u, x = u^2-v^2-1, 2*u^2-2*v^2 < y, (y-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [5, 5], [15, 15], [33, 33], [6, 6]]]], [[2, 2, 6, 1,
1], [v = -2^(1/2), u = -2, x = 0, y < -1, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-2, -2], [0, 0], [-2, -2], [0, 0]]]], [[2, 9, 6, 7,
1], [v = -2^(1/2), And(-1 < u,u < 0), x = 0, -u^2+3 < y, z < -y^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [0, 0], [4,
4], [-3, -3]]]], [[2, 9, 6, 7, 2], [v = -2^(1/2), And(-1 < u,u < 0), x = 0, -u
^2+3 < y, z = -y^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1/2, -1/2], [0, 0], [4, 4], [-2, -2]]]], [[2, 9, 6, 7, 3], [v = -2^(1/2), 
And(-1 < u,u < 0), x = 0, -u^2+3 < y, 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, 7, 4], [v = -2^(1/2), And(-1 < u,u < 0), x = 0, -u^2
+3 < y, z = y^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1
/2, -1/2], [0, 0], [4, 4], [2, 2]]]], [[2, 9, 6, 7, 5], [v = -2^(1/2), And(-1
< u,u < 0), x = 0, -u^2+3 < y, y^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [0, 0], [4, 4], [3, 3]]]], [[2, 11, 4,
3, 1], [v = -2^(1/2), And(0 < u,u < 1), x = -1, And(u^2-2 < y,y < -1), z = z],
[regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-1, -1], [-\
11/8, -11/8], [0, 0]]]], [[2, 17, 3, 7, 1], [v = -2^(1/2), And(3^(1/2) < u,u <
2), And(-u^2+1 < x,x < -1), And(0 < y,y < u^2+x-1), z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-3651195/2097152, -3651195/2097152], [777021/2097152, 777021/
2097152], [-3, -3]]]], [[2, 17, 3, 7, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2
), And(-u^2+1 < x,x < -1), And(0 < y,y < u^2+x-1), z = -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-3651195/2097152, -3651195/2097152], [777021/2097152, 777021/
2097152], [-380925/262144, -1523699/1048576]]]], [[2, 17, 3, 7, 3], [v = -2^(1
/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), And(0 < y,y < u^2+x-1), 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3913339/2097152, 3913339/2097152], [-3651195/2097152, -\
3651195/2097152], [777021/2097152, 777021/2097152], [0, 0]]]], [[2, 17, 3, 7,
4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), And(0 < y,y
< u^2+x-1), z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [-3651195/2097152, -3651195/
2097152], [777021/2097152, 777021/2097152], [1523699/1048576, 380925/262144]]]
], [[2, 17, 3, 7, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x
< -1), And(0 < y,y < u^2+x-1), (y-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-3651195/
2097152, -3651195/2097152], [777021/2097152, 777021/2097152], [3, 3]]]], [[2,
19, 1, 1, 1], [v = -2^(1/2), 2 < u, x < -u^2+1, y < x-u^2+3, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-9, -9], [-16, -\
16], [0, 0]]]], [[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 < x-u^2+v^2+1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[3, 5, 4, 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, z <
-(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-5818805/4194304, -5818805/4194304], [-1, -1], [-490237/1048576, -122559/
262144], [-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 = -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], [-1530309/
2097152, -382577/524288]]]], [[3, 5, 4, 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, 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, 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, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1, -1], [-490237/1048576, -122559/262144], [382577/524288,
765155/1048576]]]], [[3, 5, 4, 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, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1, -1], [-490237/1048576, -122559/262144], [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-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-\
5390713/4194304, -5390713/4194304], [149551/524288, 299103/1048576], [-3, -3]]
]], [[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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-5390713/4194304, -5390713/4194304], [149551/524288, 299103/1048576
], [-1314069/1048576, -328517/262144]]]], [[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-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], [-\
5390713/4194304, -5390713/4194304], [149551/524288, 299103/1048576], [0, 0]]]]
, [[3, 11, 3, 8, 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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-5390713/4194304, -5390713/4194304], [149551/524288, 299103/1048576
], [328517/262144, 1314069/1048576]]]], [[3, 11, 3, 8, 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 = x-u^2+v^2
+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-5390713/4194304, -5390713/
4194304], [149551/524288, 299103/1048576], [3, 3]]]], [[3, 13, 4, 7, 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 < -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [1454701/1048576, 1454701/1048576], [-1, -1], [490235/2097152, 490235/
2097152], [-3, -3]]]], [[3, 13, 4, 7, 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 = -(y+1)^(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, 7, 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(-(y+1)^(1/2) < z
,z < (y+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [-1, -1], [490235/2097152, 490235/2097152],
[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(0 < y,y < u^2-v^2), z = (y+1)^(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, 7, 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), (y+1)^(1/2) < z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [490235/
2097152, 490235/2097152], [3, 3]]]], [[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 < 0), z < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [-3, -3], [-1/2, -1/2], [-3, -3]]]], [[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 < 0), z = -(y-x)^(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, 5, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x < -2, And(x
+2 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-3, -3]
, [-1/2, -1/2], [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 < 0), z = (y-x)^(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, 5, 5], [And(
-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x < -2, And(x+2 < y,y < 0), (y-x)^(1/
2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/
1048576, 410915/262144], [-3, -3], [-1/2, -1/2], [3, 3]]]], [[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 = 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], [4696269/1048576, 
2348135/524288], [-3, -3]]]], [[3, 15, 11, 8, 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], [4696269/1048576, 2348135/524288], [-3301741/
2097152, -825435/524288]]]], [[3, 15, 11, 8, 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], [4696269/1048576, 
2348135/524288], [0, 0]]]], [[3, 15, 11, 8, 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], [4696269/1048576, 2348135/524288], [825435/524288, 
1650871/1048576]]]], [[3, 15, 11, 8, 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], [4696269/1048576, 2348135/524288], [3, 3]]]], [[4, 4,
2, 2, 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, 2, 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, 2, 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, 3, 1], [v = -1, u = -1, x < -1, And(x < y,y < x+1), z < -(y-x)^(1/2
)], [regular_chain, [[-1, -1], [-1, -1], [-2, -2], [-3/2, -3/2], [-2, -2]]]],
[[4, 6, 1, 3, 2], [v = -1, u = -1, x < -1, And(x < y,y < x+1), z = -(y-x)^(1/2
)], [regular_chain, [[-1, -1], [-1, -1], [-2, -2], [-3/2, -3/2], [-1482911/
2097152, -741455/1048576]]]], [[4, 6, 1, 3, 3], [v = -1, u = -1, x < -1, And(x
< y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1
], [-1, -1], [-2, -2], [-3/2, -3/2], [0, 0]]]], [[4, 6, 1, 3, 4], [v = -1, u =
-1, x < -1, And(x < y,y < x+1), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [
-1, -1], [-2, -2], [-3/2, -3/2], [741455/1048576, 46341/65536]]]], [[4, 6, 1,
3, 5], [v = -1, u = -1, x < -1, And(x < y,y < x+1), (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [-1, -1], [-2, -2], [-3/2, -3/2], [2, 2]]]], [[4, 10
, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 12, 3, 2, 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, 2, 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, 2
, 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, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 = x-u^2+v^2+1, z = z], [regular_chain, [[-1/2, -1/2],
[343151/262144, 343151/262144], [243021/1048576, 243021/1048576], [-121511/
524288, -243021/1048576], [0, 0]]]], [[5, 13, 4, 5, 1], [And(-1 < v,v < 0), (v
^2+2)^(1/2) < u, x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(
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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 <
y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = x-u^2+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, 6, 2], [v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x
< 0), y = x-u^2+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
, 6, 3], [v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), y = x-u^2+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, 6, 4], [v =
0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), y = x-u^2+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, 6, 5], [v = 0, And(-1 < u,u < 0), And(u
^2-1 < x,x < 0), y = x-u^2+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, 8, 5, 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, 5, 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, 5,
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, 5, 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, 5, 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, 3, 1], [v = 0, 2^(1/2) < u, And(-1 < x,x < 0), And(x-u^2+1 < y,
y < x), z = z], [regular_chain, [[0, 0], [3, 3], [-1/2, -1/2], [-9/2, -9/2], [
0, 0]]]], [[7, 1, 11, 6, 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, 6, 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, 6, 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, 5, 1], [And(0 < v,v < 1), And(-v < u,u < v), And(0 < x,x < 1),
And(x < y,y < u^2-v^2+x+1), z < -(y-x)^(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(x < y,y < u^2-v^2+x+1), z = -(y-x)^
(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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z
< (y-x)^(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(x < y,y < u^2-v^2+x+1), z = (y-x)^(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(x < y,y
< u^2-v^2+x+1), (y-x)^(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 = 1, z < 0], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [1, 1], [1, 1], [-1, -1]]]], [[7, 9, 10, 4, 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, 4, 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, 9, 2, 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, 1, 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], [-2, -2], [0, 0]]]], [[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 < x, z = z], [regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3],
[-4, -4], [0, 0]]]], [[8, 11, 2, 1, 1], [v = 1, And(1 < u,u < 2^(1/2)), x = -u
^2, y < -u^2, z = z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-1527887/1048576, -763943/524288], [-3, -3], [0, 0]]]], [[8, 12, 9,
7, 1], [v = 1, u = 2^(1/2), 1 < x, x+2 < y, z < -(y-x)^(1/2)], [regular_chain,
[[1, 1], [741455/524288, 1482911/1048576], [2, 2], [5, 5], [-3, -3]]]], [[8, 
12, 9, 7, 2], [v = 1, u = 2^(1/2), 1 < x, x+2 < y, z = -(y-x)^(1/2)], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [2, 2], [5, 5], [-\
1816187/1048576, -3632373/2097152]]]], [[8, 12, 9, 7, 3], [v = 1, u = 2^(1/2),
1 < x, x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1
], [741455/524288, 1482911/1048576], [2, 2], [5, 5], [-1/4194304, -1/4194304]]
]], [[8, 12, 9, 7, 4], [v = 1, u = 2^(1/2), 1 < x, x+2 < y, z = (y-x)^(1/2)],
[regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [2, 2], [5, 5], [
908093/524288, 1816187/1048576]]]], [[8, 12, 9, 7, 5], [v = 1, u = 2^(1/2), 1
< x, x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [741455/524288, 
1482911/1048576], [2, 2], [5, 5], [3, 3]]]], [[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(-2*u
^2+2*v^2 < y,y < -u^2+v^2-1), z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1299559/524288, -\
2599117/1048576], [-91203219/33554432, -91203219/33554432], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-3, -3], [-3, -3], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-3, -3], [-3, -3], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-3, -3], [-3, -3], [1, 1]]]], [[9, 11, 11
, 3, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, And(0 <
y,y < x), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341
/1048576, 987341/1048576], [2, 2], [1, 1], [0, 0]]]], [[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-u^2+v^2+1 < y,
y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2], [3, 3], [-2, -2]
]]], [[9, 13, 11, 7, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2))
, 1 < x, And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [2, 2], [3, 3], [-1, -1]]]], [[9, 13, 11, 7, 3], [And(1 < v,v < 2^(1
/2)), And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1
), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576,
1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2], [3, 3], [0, 0]]]
], [[9, 13, 11, 7, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)),
1 < x, And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2
], [3, 3], [1, 1]]]], [[9, 13, 11, 7, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u
< (v^2+1)^(1/2)), 1 < x, And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [2, 2], [3, 3], [2, 2]]]], [[10, 2, 4, 1, 1], [v = 2^(1/2),
u = -2, x = -1, y < -2, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [-1, -1], [-3, -3], [0, 0]]]], [[10, 3, 11, 9, 1], [v = 2^
(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, u^2+x-1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [2, 2], [6, 6], [-3, -3]]]], [[10, 3, 11, 9, 2], [v = 2^(1/2), And(-\
2 < u,u < -3^(1/2)), 1 < x, u^2+x-1 < y, z = -(y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [2, 2],
[6, 6], [-2, -2]]]], [[10, 3, 11, 9, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)
), 1 < x, u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [2, 2
], [6, 6], [0, 0]]]], [[10, 3, 11, 9, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2
)), 1 < x, u^2+x-1 < y, z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-3913339/2097152, -3913339/2097152], [2, 2], [6, 6], [2, 2]
]]], [[10, 3, 11, 9, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, u^2+x-\
1 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [2, 2], [6, 6], [3, 3]]]], [[10, 8, 2, 2,
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, 2, 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, 2, 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, 9, 11, 8, 1], [v = 2^(1/2), And(-1 < u,u < 0), 1 < x, y = x-u^2+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, 8, 2], [v = 2^(1/2), And(-1
< u,u < 0), 1 < x, y = x-u^2+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, 8, 3], [v = 2^(1/2), And(-1 < u,u
< 0), 1 < x, y = x-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], [2, 2], [19/4,
19/4], [-1/4194304, -1/4194304]]]], [[10, 9, 11, 8, 4], [v = 2^(1/2), And(-1 <
u,u < 0), 1 < x, y = x-u^2+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, 8, 5], [v = 2^(1/2), And(-1 < u,u < 0), 1 <
x, y = x-u^2+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, 9, 9, 1], [
v = 2^(1/2), And(v < u,u < 3^(1/2)), And(0 < x,x < 1), u^2+x-1 < y, z < -(y-x)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152,
3299097/2097152], [1/2, 1/2], [3, 3], [-3, -3]]]], [[10, 15, 9, 9, 2], [v = 2^
(1/2), And(v < u,u < 3^(1/2)), And(0 < x,x < 1), u^2+x-1 < y, z = -(y-x)^(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, 9, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(0 < x,x < 1), u^2
+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [1/2, 1/2], [3,
3], [0, 0]]]], [[10, 15, 9, 9, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(0
< x,x < 1), u^2+x-1 < y, z = (y-x)^(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, 9, 5], [v = 2^(1/2), And(v <
u,u < 3^(1/2)), And(0 < x,x < 1), u^2+x-1 < y, (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [1/2, 1/2], [3, 3], [3, 3]]]], [[10, 17, 8, 6, 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], [1554043/524288, 3108087/1048576],
[-3, -3]]]], [[10, 17, 8, 6, 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]
, [1554043/524288, 3108087/1048576], [-825991/524288, -3303963/2097152]]]], [[
10, 17, 8, 6, 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], [1554043/524288, 3108087/1048576], [-1/4194304, -1/4194304]]]], [[10,
17, 8, 6, 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], [1554043/524288, 
3108087/1048576], [1651981/1048576, 825991/524288]]]], [[10, 17, 8, 6, 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], [1554043/524288, 3108087/1048576],
[3, 3]]]], [[10, 18, 5, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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]]]],
[[11, 1, 2, 7, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = -u^2+v^2-1, 0 < y, z
< -(u^2-v^2+y+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-17, -17], [1, 1]
, [-6, -6]]]], [[11, 1, 2, 7, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = -u^2+v
^2-1, 0 < y, 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, 7, 3], [
2^(1/2) < v, u < -(v^2+2)^(1/2), x = -u^2+v^2-1, 0 < y, 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, 7, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), x =
-u^2+v^2-1, 0 < y, 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, 7, 5],
[2^(1/2) < v, u < -(v^2+2)^(1/2), x = -u^2+v^2-1, 0 < y, (u^2-v^2+y+1)^(1/2) <
z], [regular_chain, [[3, 3], [-5, -5], [-17, -17], [1, 1], [6, 6]]]], [[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 < x,
z = z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3, -3
], [-4, -4], [0, 0]]]], [[11, 8, 8, 5, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x
= 1, And(1 < y,y < 3), z < -(y-1)^(1/2)], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [1, 1], [2, 2], [-2, -2]]]], [[11, 8, 8, 5, 2], [
2^(1/2) < v, u = -(v^2-1)^(1/2), x = 1, And(1 < y,y < 3), z = -(y-1)^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [1, 1], [2, 2],
[-1, -1]]]], [[11, 8, 8, 5, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 1, And(1
< y,y < 3), 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, 5
, 4], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 1, And(1 < y,y < 3), z = (y-1)^(1/
2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [1, 1], [
2, 2], [1, 1]]]], [[11, 8, 8, 5, 5], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 1,
And(1 < y,y < 3), (y-1)^(1/2) < z], [regular_chain, [[3, 3], [-2965821/1048576
, -11863283/4194304], [1, 1], [2, 2], [2, 2]]]], [[11, 12, 4, 2, 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, 1, 1, 1
], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -2, y < x, z = z], [regular_chain, [[3
, 3], [741455/262144, 2965821/1048576], [-3, -3], [-4, -4], [0, 0]]]], [[11, 
20, 1, 2, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), x < -3, y = x-1, z = z], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-4, -4], [-5, -5],
[0, 0]]]], [[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 < x-u^2+v^2+1, z = z], [regular_chain, [[3, 3], [5, 5], [8, 8],
[-8, -8], [0, 0]]]], [[1, 4, 1, 1, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), x <
-2, y < x, z = z], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536
], [-3, -3], [-4, -4], [0, 0]]]], [[1, 5, 10, 9, 1], [v < -2^(1/2), And(-(v^2+
1)^(1/2) < u,u < v), x = 1, u^2-v^2+2 < y, z < -(y-1)^(1/2)], [regular_chain,
[[-3, -3], [-403851/131072, -403851/131072], [1, 1], [4, 4], [-3, -3]]]], [[1,
5, 10, 9, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 1, u^2-v^2+2 <
y, z = -(y-1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [1, 1], [4, 4], [-1816187/1048576, -3632373/2097152]]]], [[1, 5, 10,
9, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 1, u^2-v^2+2 < y, 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, 9, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 1, u^2-v^2+2 < y,
z = (y-1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072],
[1, 1], [4, 4], [908093/524288, 1816187/1048576]]]], [[1, 5, 10, 9, 5], [v < -
2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 1, u^2-v^2+2 < y, (y-1)^(1/2) < z]
, [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1, 1], [4, 4],
[3, 3]]]], [[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 = z], [regular_chain,
[[-3, -3], [0, 0], [9/2, 9/2], [-5, -5], [0, 0]]]], [[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), x-u^2+v^2
+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023
/524288], [-1/2, -1/2], [4, 4], [-4, -4]]]], [[1, 13, 5, 9, 2], [v < -2^(1/2),
And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), x-u^2+v^2+1 < y,
z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288]
, [-1/2, -1/2], [4, 4], [-1112183/524288, -2224365/1048576]]]], [[1, 13, 5, 9,
3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0)
, x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
3, -3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [4, 4], [0, 0]]]], [[1
, 13, 5, 9, 4], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-\
1 < x,x < 0), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [-1/2, -1/2], [4, 4], [2224365/1048576, 
1112183/524288]]]], [[1, 13, 5, 9, 5], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), And(-1 < x,x < 0), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [4,
4], [4, 4]]]], [[1, 17, 6, 7, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2))
, x = u^2-v^2-1, 2*u^2-2*v^2 < y, z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [
[-3, -3], [403851/131072, 403851/131072], [-531193/1048576, -1062385/2097152],
[2, 2], [-3, -3]]]], [[1, 17, 6, 7, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^
(1/2)), x = u^2-v^2-1, 2*u^2-2*v^2 < y, z = -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-531193/1048576, -\
1062385/2097152], [2, 2], [-3320253/2097152, -830063/524288]]]], [[1, 17, 6, 7
, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, 2*u^2-2*v^2
< y, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [
[-3, -3], [403851/131072, 403851/131072], [-531193/1048576, -1062385/2097152],
[2, 2], [0, 0]]]], [[1, 17, 6, 7, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1
/2)), x = u^2-v^2-1, 2*u^2-2*v^2 < y, z = (y-u^2+v^2+1)^(1/2)], [regular_chain
, [[-3, -3], [403851/131072, 403851/131072], [-531193/1048576, -1062385/
2097152], [2, 2], [830063/524288, 1660127/1048576]]]], [[1, 17, 6, 7, 5], [v <
-2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, 2*u^2-2*v^2 < y, (y-u^
2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072]
, [-531193/1048576, -1062385/2097152], [2, 2], [3, 3]]]], [[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 =
0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[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 = 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, 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 = 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, 6, 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,
6, 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, 7, 4, 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,
6, 1, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = u^2-3, y < u^2-3, z = z]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-275385/524288, -1101539/2097152], [-2, -2], [0, 0]]]], [[2
, 6, 4, 1, 1], [v = -2^(1/2), u = v, x = 0, y < 0, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [0, 0],
[-1, -1], [0, 0]]]], [[2, 8, 4, 5, 1], [v = -2^(1/2), u = -1, x = -1, And(0 <
y,y < 1), z < -(y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1, -1], [-1, -1], [1/2, 1/2], [-3, -3]]]], [[2, 8, 4, 5, 2], [v = -
2^(1/2), u = -1, x = -1, And(0 < y,y < 1), z = -(y+1)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [1/2, 1/2], [-1284239
/1048576, -642119/524288]]]], [[2, 8, 4, 5, 3], [v = -2^(1/2), u = -1, x = -1,
And(0 < y,y < 1), And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1, -1],
[1/2, 1/2], [642119/524288, 1284239/1048576]]]], [[2, 8, 4, 5, 5], [v = -2^(1/
2), u = -1, x = -1, And(0 < y,y < 1), (y+1)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [1/2, 1/2], [3, 3]]]], [
[2, 13, 11, 4, 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, 4, 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, 4, 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, 15, 11, 8, 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],
[3643533/1048576, 1821767/524288], [-3, -3]]]], [[2, 15, 11, 8, 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], [3643533/1048576, 1821767/524288], [-1273381/1048576, -\
318345/262144]]]], [[2, 15, 11, 8, 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], [3643533/1048576, 1821767/524288], [0, 0]]]], [[2, 15, 11, 8, 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], [3643533/1048576, 1821767/524288], [318345/262144, 1273381/
1048576]]]], [[2, 15, 11, 8, 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], [3643533/1048576, 
1821767/524288], [3, 3]]]], [[2, 19, 9, 1, 1], [v = -2^(1/2), 2 < u, And(1 < x
,x < u^2-3), y < x-u^2+3, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [7/2, 7/2], [-4, -4], [0, 0]]]], [[3, 2, 3, 9, 1], [And(-2^(1
/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), x+3 < y, z < -(y-x)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-2, -2], [2, 2], [-3, -3]]]], [[3, 2, 3, 9, 2], [
And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), x+3 < y, z =
-(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [-2, -2], [2, 2], [-2, -2]]]], [[3, 2, 3,
9, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), x+3
< y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-2, -2], [2
, 2], [0, 0]]]], [[3, 2, 3, 9, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/
2), And(-3 < x,x < -1), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-2, -2], [2
, 2], [2, 2]]]], [[3, 2, 3, 9, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/
2), And(-3 < x,x < -1), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-2, -2], [2
, 2], [3, 3]]]], [[3, 8, 2, 3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/
2), x = -2, And(-2 < y,y < 0), z < -(y+2)^(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(-2 < y,y < 0), z = -(y+2)^(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(-2 < y,y < 0), And(-(y+2)^(1/2) < z,z < (y+2)^(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(-2 < y,y < 0), z = (y+2)^(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(-2 < y,y < 0), (y+2)^(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, x-u^2+v^2+1 <
y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
0, 0], [2, 2], [6, 6], [-3, -3]]]], [[3, 9, 11, 9, 2], [And(-2^(1/2) < v,v < -\
1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, x-u^2+v^2+1 < y, z = -(y
-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [2,
2], [6, 6], [-2, -2]]]], [[3, 9, 11, 9, 3], [And(-2^(1/2) < v,v < -1), And(-(v
^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, x-u^2+v^2+1 < y, And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0
, 0], [2, 2], [6, 6], [0, 0]]]], [[3, 9, 11, 9, 4], [And(-2^(1/2) < v,v < -1),
And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, x-u^2+v^2+1 < y, z = (y-x)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [2, 2],
[6, 6], [2, 2]]]], [[3, 9, 11, 9, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^
(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [2, 2], [6, 6],
[3, 3]]]], [[3, 17, 1, 9, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x
< -u^2+v^2-1, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [-10, -10], [1, 1], [-5, -5]]]], [[3, 17, 1, 9, 2],
[And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, 0 < y, z = -(y-x
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10,
-10], [1, 1], [-1738867/524288, -3477733/1048576]]]], [[3, 17, 1, 9, 3], [And(
-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, 0 < y, And(-(y-x)^(1/
2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [3, 3], [-10, -10], [1, 1], [0, 0]]]], [[3, 17, 1, 9, 4], [And(-2^(1/2) < v
,v < -1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, 0 < y, z = (y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10, -10], [1,
1], [3477733/1048576, 1738867/524288]]]], [[3, 17, 1, 9, 5], [And(-2^(1/2) < v
,v < -1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10, -10], [1,
1], [5, 5]]]], [[4, 1, 7, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 5, 7, 1], [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2),
And(0 < y,y < x-u^2+2), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -\
1/2], [-5/8, -5/8], [9/16, 9/16], [-3, -3]]]], [[4, 7, 5, 7, 2], [v = -1, And(
-1 < u,u < 0), And(-1 < x,x < -u^2), And(0 < y,y < x-u^2+2), z = -(y-x)^(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, 7, 3], [v = -1, And(-1 < u,u <
0), And(-1 < x,x < -u^2), And(0 < y,y < x-u^2+2), And(-(y-x)^(1/2) < z,z < (y-
x)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [9/16, 9/16
], [0, 0]]]], [[4, 7, 5, 7, 4], [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^
2), And(0 < y,y < x-u^2+2), z = (y-x)^(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, 7, 5], [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(0 < y,y < x
-u^2+2), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/
8], [9/16, 9/16], [3, 3]]]], [[4, 9, 4, 6, 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, 6, 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, 6, 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,
6, 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, 6, 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, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = -1, 3^(1/2) < u, x = -u^2, And(-u^2 < y,y < 0), z <
-(u^2+y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-9, -9], [-9/2, -9/2], [-\
4, -4]]]], [[4, 15, 2, 5, 2], [v = -1, 3^(1/2) < u, x = -u^2, And(-u^2 < y,y <
0), 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, 5, 3], [v = -1, 3^(1
/2) < u, x = -u^2, And(-u^2 < y,y < 0), 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, 5, 4], [v = -1, 3^(1/2) < u, x = -u^2, And(-u^2 < y,y < 0), 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, 5, 5], [v = -1, 3^(1/2) < u,
x = -u^2, And(-u^2 < y,y < 0), (u^2+y)^(1/2) < z], [regular_chain, [[-1, -1],
[3, 3], [-9, -9], [-9/2, -9/2], [4, 4]]]], [[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 = 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], [636235/1048576, 
159059/262144], [-3, -3]]]], [[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 = 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], [636235/1048576, 159059/262144], [-\
19417/16384, -1242687/1048576]]]], [[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 = u^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], [
636235/1048576, 159059/262144], [0, 0]]]], [[5, 5, 5, 8, 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], [636235/1048576, 
159059/262144], [1242687/1048576, 19417/16384]]]], [[5, 5, 5, 8, 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], [636235/
1048576, 159059/262144], [3, 3]]]], [[5, 7, 6, 3, 1], [And(-1 < v,v < 0), And(
v < u,u < -v), x = -u^2+v^2-1, And(-u^2+v^2-1 < y,y < 0), 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, 3, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x = -u^2+v^2-\
1, And(-u^2+v^2-1 < y,y < 0), 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, 3, 3], [And(-1 < v,v < 0), And(v < u,u < -v), x = -u^2
+v^2-1, And(-u^2+v^2-1 < 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], [-3/8, -3/8]
, [0, 0]]]], [[5, 7, 6, 3, 4], [And(-1 < v,v < 0), And(v < u,u < -v), x = -u^2
+v^2-1, And(-u^2+v^2-1 < y,y < 0), 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, 3, 5], [And(-1 < v,v < 0), And(v < u,u < -v), x = -u^2+
v^2-1, And(-u^2+v^2-1 < y,y < 0), (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, 5, 1],
[And(-1 < v,v < 0), u = -v, x = 0, 1 < y, z < -y^(1/2)], [regular_chain, [[-1/
2, -1/2], [1/2, 1/2], [0, 0], [2, 2], [-3, -3]]]], [[5, 8, 4, 5, 2], [And(-1 <
v,v < 0), u = -v, x = 0, 1 < y, 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,
5, 3], [And(-1 < v,v < 0), u = -v, x = 0, 1 < y, 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, 5, 4], [And(-1 < v,v < 0), u = -v, x = 0, 1 < y, 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, 5, 5], [And(-1 < v,v < 0), u = -v, x = 0, 1 <
y, y^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [2, 2], [3
, 3]]]], [[5, 10, 5, 2, 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, 2, 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, 2, 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, 7, 6,
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, 6, 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, 6, 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, 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 < 0, z = z], [regular_chain, [[0, 0], [1, 1], [1/2, 1/2
], [-1, -1], [0, 0]]]], [[6, 10, 4, 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, 4, 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, 4, 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, 4, 7, 3, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And
(0 < x,x < 1), And(0 < y,y < x), z = z], [regular_chain, [[1/2, 1/2], [-146543
/131072, -1172343/1048576], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[7, 6, 5, 7, 1
], [And(0 < v,v < 1), u = -v, And(0 < x,x < 1), x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1/2, 1/2], [3, 3], [-3, -3]]]], [[7
, 6, 5, 7, 2], [And(0 < v,v < 1), u = -v, And(0 < x,x < 1), x+1 < y, z = -(y-x
)^(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, 7, 3], [And(0 < v,v < 1), u =
-v, And(0 < x,x < 1), x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1/2, 1/2], [3, 3], [0, 0]]]], [[7,
6, 5, 7, 4], [And(0 < v,v < 1), u = -v, And(0 < x,x < 1), x+1 < y, z = (y-x)^(
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, 7, 5], [And(0 < v,v < 1), u = -v, And(
0 < x,x < 1), x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1/2, -\
1/2], [1/2, 1/2], [3, 3], [3, 3]]]], [[7, 13, 7, 2, 1], [And(0 < v,v < 1), (v^
2+2)^(1/2) < u, And(0 < x,x < 1), y = x-u^2+v^2+1, z = z], [regular_chain, [[1
/2, 1/2], [3, 3], [1/2, 1/2], [-29/4, -29/4], [0, 0]]]], [[8, 2, 2, 3, 1], [v
= 1, u = -3^(1/2), x = -3, And(-4 < y,y < -3), z = z], [regular_chain, [[1, 1]
, [-1816187/1048576, -3632373/2097152], [-3, -3], [-7/2, -7/2], [0, 0]]]], [[8
, 7, 11, 2, 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, 10, 5
, 1], [v = 1, And(0 < u,u < 1), x = 1, And(1 < y,y < u^2+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(1 < y,y < u^2+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(1 < 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], [9/8, 9/8], [0, 0]]]], [[8, 9, 10,
5, 4], [v = 1, And(0 < u,u < 1), x = 1, And(1 < y,y < u^2+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(1 <
y,y < u^2+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 = u^2+1, z < -u], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [1, 1], [3643533/1048576, 1821767/524288], [-3, -3]]]], [[8,
13, 10, 8, 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], [
3643533/1048576, 1821767/524288], [-3299097/2097152, -3299097/2097152]]]], [[8
, 13, 10, 8, 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], [3643533/1048576, 1821767/524288], [-1/4194304, -1/4194304]]]], [[8, 13,
10, 8, 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], [3643533/
1048576, 1821767/524288], [412387/262144, 1649549/1048576]]]], [[8, 13, 10, 8,
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], [3643533/
1048576, 1821767/524288], [3, 3]]]], [[8, 15, 8, 2, 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, 11, 3, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u
< -v), 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [1, 1], [0, 0]
]]], [[9, 8, 1, 2, 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, 2, 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, 2, 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, 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 = 0, z < -(-x)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [0, 0], [-4, -4], [0, 0], [-3, -3]]]],
[[9, 9, 1, 8, 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, 8
, 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, 8, 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, 8, 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, 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 = x, z < 0], [regular_chain,
[[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3
], [-3, -3], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [-3, -3
], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [-3, -3], [1, 1]
]]], [[9, 16, 7, 8, 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, 8, 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, 8, 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, 8,
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, 8, 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, 5
, 2, 1], [v = 2^(1/2), u < -2, And(-1 < x,x < 0), y = x-u^2+3, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1/2, -1/2], [-13
/2, -13/2], [0, 0]]]], [[10, 5, 1, 9, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -
v), x < -u^2+1, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-3, -3], [1, 1], [-3,
-3]]]], [[10, 5, 1, 9, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x < -u^2+1,
0 < y, z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
-6598195/4194304, -6598195/4194304], [-3, -3], [1, 1], [-2, -2]]]], [[10, 5, 1
, 9, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x < -u^2+1, 0 < y, And(-(y-x)
^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576
], [-6598195/4194304, -6598195/4194304], [-3, -3], [1, 1], [0, 0]]]], [[10, 5,
1, 9, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x < -u^2+1, 0 < y, z = (y-x)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304,
-6598195/4194304], [-3, -3], [1, 1], [2, 2]]]], [[10, 5, 1, 9, 5], [v = 2^(1/2
), And(-3^(1/2) < u,u < -v), x < -u^2+1, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-3, -3], [1, 1], [3, 3]]]], [[10, 7, 3, 1, 1], [v = 2^(1/2), And(-v
< u,u < -1), And(u^2-3 < x,x < -1), y < x, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-2666417/
2097152, -2666417/2097152], [-3, -3], [0, 0]]]], [[10, 12, 7, 5, 1], [v = 2^(1
/2), u = 1, And(0 < x,x < 1), And(x < y,y < x+2), z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1/2, 1/2], [3/2, 3/
2], [-2, -2]]]], [[10, 12, 7, 5, 2], [v = 2^(1/2), u = 1, And(0 < x,x < 1), 
And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]], [[10, 12, 7, 5,
3], [v = 2^(1/2), u = 1, And(0 < x,x < 1), And(x < y,y < x+2), And(-(y-x)^(1/2
) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1
, 1], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[10, 12, 7, 5, 4], [v = 2^(1/2), u =
1, And(0 < x,x < 1), And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[
10, 12, 7, 5, 5], [v = 2^(1/2), u = 1, And(0 < x,x < 1), And(x < y,y < x+2), (
y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1
/2, 1/2], [3/2, 3/2], [2, 2]]]], [[10, 14, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 3, 10, 4, 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], [530531
/1048576, 132633/262144], [0, 0]]]], [[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 = x-u^2+v^2+1
, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [395403/524288, 395403/524288], [3420993/1048576, 1710497/
524288], [-3, -3]]]], [[11, 9, 9, 8, 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-u^2+v^2+1, z = -(-u^2+v^
2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608],
[395403/524288, 395403/524288], [3420993/1048576, 1710497/524288], [-3321417/
2097152, -415177/262144]]]], [[11, 9, 9, 8, 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-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], [395403/524288, 395403/524288], [3420993
/1048576, 1710497/524288], [0, 0]]]], [[11, 9, 9, 8, 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 = x-u^2+v^2+
1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [395403/524288, 395403/524288], [3420993/1048576, 1710497/
524288], [415177/262144, 1660709/1048576]]]], [[11, 9, 9, 8, 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 = x-u
^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-22960369/8388608
, -22960369/8388608], [395403/524288, 395403/524288], [3420993/1048576, 
1710497/524288], [3, 3]]]], [[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 = z], [
regular_chain, [[3, 3], [0, 0], [1/2, 1/2], [-15/2, -15/2], [0, 0]]]], [[11, 
15, 4, 2, 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, 2, 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, 2, 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, 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 < x, z = z], [regular_chain, [[3, 3], [403851/131072, 403851/131072],
[-1579769/2097152, -1579769/2097152], [-2, -2], [0, 0]]]], [[1, 1, 4, 9, 1], [
v < -2^(1/2), u < -(v^2+2)^(1/2), x = -1, u^2-v^2 < y, z < -(y+1)^(1/2)], [
regular_chain, [[-3, -3], [-5, -5], [-1, -1], [17, 17], [-6, -6]]]], [[1, 1, 4
, 9, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -1, u^2-v^2 < y, z = -(y+1)^(1
/2)], [regular_chain, [[-3, -3], [-5, -5], [-1, -1], [17, 17], [-1112183/
262144, -4448731/1048576]]]], [[1, 1, 4, 9, 3], [v < -2^(1/2), u < -(v^2+2)^(1
/2), x = -1, u^2-v^2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[-3, -3], [-5, -5], [-1, -1], [17, 17], [0, 0]]]], [[1, 1, 4,
9, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -1, u^2-v^2 < y, z = (y+1)^(1/2)
], [regular_chain, [[-3, -3], [-5, -5], [-1, -1], [17, 17], [4448731/1048576,
1112183/262144]]]], [[1, 1, 4, 9, 5], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -\
1, u^2-v^2 < y, (y+1)^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5], [-1, -1
], [17, 17], [6, 6]]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain
, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-4, -4], [0, 0], [-3, -3]]
]], [[1, 3, 1, 8, 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,
8, 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, 8,
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, 8, 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, 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, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -\
3], [-22960369/8388608, -22960369/8388608], [-4, -4], [1, 1], [-4, -4]]]], [[1
, 9, 1, 9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [-4, -4], [1, 1], [-146543/65536, -2344687/
1048576]]]], [[1, 9, 1, 9, 3], [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, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-4, -4], [1
, 1], [0, 0]]]], [[1, 9, 1, 9, 4], [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 = (y-x)^(1/2)], [regular_chain, [[-3,
-3], [-22960369/8388608, -22960369/8388608], [-4, -4], [1, 1], [2344687/
1048576, 146543/65536]]]], [[1, 9, 1, 9, 5], [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, (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-4, -4], [1
, 1], [4, 4]]]], [[1, 10, 7, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 3, 7, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-2 < x,x < -1), x+2 < y,
z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576]
, [-3/2, -3/2], [2, 2], [-3, -3]]]], [[1, 14, 3, 7, 2], [v < -2^(1/2), u = (v^
2-1)^(1/2), And(-2 < x,x < -1), x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[
-3, -3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [2, 2], [-7846825/
4194304, -980853/524288]]]], [[1, 14, 3, 7, 3], [v < -2^(1/2), u = (v^2-1)^(1/
2), And(-2 < x,x < -1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [2,
2], [0, 0]]]], [[1, 14, 3, 7, 4], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-2 < x
,x < -1), x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [741455/262144
, 2965821/1048576], [-3/2, -3/2], [2, 2], [980853/524288, 1961707/1048576]]]],
[[1, 14, 3, 7, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-2 < x,x < -1), x+2 <
y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [-3/2, -3/2], [2, 2], [3, 3]]]], [[1, 16, 2, 2, 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, 2, 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, 2, 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, 3, 1], [v < -2^(
1/2), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, And(0 < y,y < x-u^2+v^2+1), z = z], [
regular_chain, [[-3, -3], [5, 5], [16, 16], [1/2, 1/2], [0, 0]]]], [[2, 2, 5,
9, 1], [v = -2^(1/2), u = -2, And(-1 < x,x < 0), x+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-1/2, -1/2], [4
, 4], [-4, -4]]]], [[2, 2, 5, 9, 2], [v = -2^(1/2), u = -2, And(-1 < x,x < 0),
x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [-2, -2], [-1/2, -1/2], [4, 4], [-1112183/524288, -2224365/1048576]]]], [[2
, 2, 5, 9, 3], [v = -2^(1/2), u = -2, And(-1 < x,x < 0), x+3 < y, And(-(y-x)^(
1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288
], [-2, -2], [-1/2, -1/2], [4, 4], [0, 0]]]], [[2, 2, 5, 9, 4], [v = -2^(1/2),
u = -2, And(-1 < x,x < 0), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-2, -2], [-1/2, -1/2], [4, 4], [2224365/
1048576, 1112183/524288]]]], [[2, 2, 5, 9, 5], [v = -2^(1/2), u = -2, And(-1 <
x,x < 0), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-2, -2], [-1/2, -1/2], [4, 4], [4, 4]]]], [[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-1, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [3/8, 3/8],
[-2, -2], [0, 0]]]], [[2, 11, 3, 9, 1], [v = -2^(1/2), And(0 < u,u < 1), And(u
^2-3 < x,x < -1), x-u^2+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [-15/8, -15/8], [2, 2], [-3, -3]]]], [[2
, 11, 3, 9, 2], [v = -2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), x-u^2+
3 < y, z = -(y-x)^(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, 9, 3], [v = -2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), x
-u^2+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9, 4], [v = -2^(1/2), And(0 < u,u < 1), And(u^2-3
< x,x < -1), x-u^2+3 < y, z = (y-x)^(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, 9, 5], [v = -2^(1/2), And(0 < u,u < 1), And(u^2
-3 < x,x < -1), x-u^2+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [-15/8, -15/8], [2, 2], [3, 3]]]], [[2,
17, 4, 1, 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], [-3, -3], [0, 0]]]], [[2, 18, 9, 9, 1], [v = -2^(1
/2), u = 2, 1 < x, x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [2, 2], [2, 2], [6, 6], [-3, -3]]]], [[2, 18, 9, 9,
2], [v = -2^(1/2), u = 2, 1 < x, x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [2, 2], [2, 2], [6, 6], [-2, -2]]]], [[2,
18, 9, 9, 3], [v = -2^(1/2), u = 2, 1 < x, x+3 < y, And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [2,
2], [6, 6], [0, 0]]]], [[2, 18, 9, 9, 4], [v = -2^(1/2), u = 2, 1 < x, x+3 < y
, z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2
], [2, 2], [6, 6], [2, 2]]]], [[2, 18, 9, 9, 5], [v = -2^(1/2), u = 2, 1 < x,
x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288]
, [2, 2], [2, 2], [6, 6], [3, 3]]]], [[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 = x-u^2+v
^2+1, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-1/2, -1/2], [-8210029/8388608, -\
32840115/33554432], [0, 0]]]], [[3, 5, 4, 1, 1], [And(-2^(1/2) < v,v < -1), 
And(-(v^2+1)^(1/2) < u,u < v), x = -1, y < -1, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1,
-1], [-2, -2], [0, 0]]]], [[3, 11, 4, 2, 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, 2, 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, 2, 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, 4, 6, 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,
6, 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, 6, 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, 6, 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, 6, 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, 1, 1], [And(-2^(1/2
) < v,v < -1), u = (v^2+1)^(1/2), x = -2, y < -2, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-2, -2]
, [-3, -3], [0, 0]]]], [[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(x < y,y < u^2-v^2+x+1), z < -(y-x
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/
524288, 898327/524288], [2, 2], [6793421/2097152, 6793421/2097152], [-3, -3]]]
], [[3, 15, 11, 7, 2], [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 = -(y-x)^(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, 7, 3], [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), And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [2, 2], [6793421/2097152, 6793421/2097152], [0,
0]]]], [[3, 15, 11, 7, 4], [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 = (y-x)^(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, 7, 5], [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), (y-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [2, 2], [6793421/2097152, 6793421/2097152], [3, 3]]]], [[4, 4, 2, 3,
1], [v = -1, u = -2^(1/2), x = -2, And(-2 < y,y < 0), z < -(y+2)^(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(-2 < y,y
< 0), z = -(y+2)^(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(-2 < y,y < 0), And(-(y+2)^(1/2) < z,z < (y+2)^(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(-2 < y,y <
0), z = (y+2)^(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(-2 < y,y < 0), (y+2)^(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, u^2+x < y, z < -(y-x)^(1/2)],
[regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [2, 2], [5, 5
], [-3, -3]]]], [[4, 5, 11, 9, 2], [v = -1, And(-2^(1/2) < u,u < -1), 1 < x, u
^2+x < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [2, 2], [5, 5], [-1816187/1048576, -3632373/2097152]]]], [[4
, 5, 11, 9, 3], [v = -1, And(-2^(1/2) < u,u < -1), 1 < x, u^2+x < y, And(-(y-x
)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[4, 5, 11, 9,
4], [v = -1, And(-2^(1/2) < u,u < -1), 1 < x, u^2+x < y, z = (y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [2, 2], [5, 5]
, [908093/524288, 1816187/1048576]]]], [[4, 5, 11, 9, 5], [v = -1, And(-2^(1/2
) < u,u < -1), 1 < x, u^2+x < y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1],
[-1265743/1048576, -1265743/1048576], [2, 2], [5, 5], [3, 3]]]], [[4, 10, 2, 2
, 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, 2, 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, 2, 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, 1, 1], [v = -1,
u = 2^(1/2), And(-2 < x,x < -1), y < x, z = z], [regular_chain, [[-1, -1], [
741455/524288, 1482911/1048576], [-3/2, -3/2], [-3, -3], [0, 0]]]], [[5, 2, 5,
7, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y
< x+3), z < -(y-x)^(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, 7, 2], [And(-1 < v,v < 0), u = -(v^
2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), z = -(y-x)^(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, 7, 3], [And(-1 < v,v < 0), u = -(v^2+2)
^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^
(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, 7, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-1
< x,x < 0), And(0 < y,y < x+3), z = (y-x)^(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, 7, 5], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), 
And(0 < y,y < x+3), (y-x)^(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, 3, 3, 1], [And(-1 < v,v < 0)
, u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z < -(y-x)^(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, 3, 2], [And(-1 < v,v < 0), u = -(v^2+
1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [
And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), 
And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-2
< x,x < -1), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [And(-1 < v,v < 0), u = -(v^2+1)
^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), (y-x)^(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, 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(0 < y,y < x), 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 = -1, z < 0], [
regular_chain, [[-1/2, -1/2], [3, 3], [-1, -1], [-1, -1], [-1, -1]]]], [[5, 13
, 4, 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,
4, 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, 7
, 7, 1], [v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), And(x-u^2+1 < y,y <
u^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/8, -3/
8], [5/8, 5/8], [-2, -2]]]], [[6, 5, 7, 7, 2], [v = 0, And(-1 < u,u < 0), And(
u^2-1 < x,x < 0), And(x-u^2+1 < y,y < u^2+x+1), z = -(y-x)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [-3/8, -3/8], [5/8, 5/8], [-1, -1]]]], [
[6, 5, 7, 7, 3], [v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), And(x-u^2+1
< y,y < u^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0,
0], [-1/2, -1/2], [-3/8, -3/8], [5/8, 5/8], [0, 0]]]], [[6, 5, 7, 7, 4], [v =
0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), And(x-u^2+1 < y,y < u^2+x+1), z =
(y-x)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/8, -3/8], [5/8, 5/8],
[1, 1]]]], [[6, 5, 7, 7, 5], [v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0),
And(x-u^2+1 < y,y < u^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[0, 0], [-1/2
, -1/2], [-3/8, -3/8], [5/8, 5/8], [2, 2]]]], [[6, 7, 8, 2, 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, 2, 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, 2, 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, 5, 6, 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, 6, 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, 6,
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, 6, 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, 6, 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, 5, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), u^2-v^2-1
< x, And(x-u^2+v^2+1 < y,y < x), 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 = 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, 6, 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, 6, 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, 6, 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, 6, 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, 1, 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], [
-1, -1], [0, 0]]]], [[7, 10, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 2, 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, 3, 1], [v = 1,
u = -2^(1/2), 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[1, 1], [-\
1482911/1048576, -741455/524288], [2, 2], [1, 1], [0, 0]]]], [[8, 7, 1, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 1, 7, 1], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, And(u^2+x < y,y < 0)
, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-3, -3], [-1617841/2097152, -1617841/2097152], [-3, -3]]]], [[8, 11
, 1, 7, 2], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, And(u^2+x < y,y < 0), z
= -(y-x)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576],
[-3, -3], [-1617841/2097152, -1617841/2097152], [-782675/524288, -1565349/
1048576]]]], [[8, 11, 1, 7, 3], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, And(
u^2+x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1,
1], [1265743/1048576, 1265743/1048576], [-3, -3], [-1617841/2097152, -1617841/
2097152], [0, 0]]]], [[8, 11, 1, 7, 4], [v = 1, And(1 < u,u < 2^(1/2)), x < -u
^2, And(u^2+x < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-3, -3], [-1617841/2097152, -1617841/2097152], [
1565349/1048576, 782675/524288]]]], [[8, 11, 1, 7, 5], [v = 1, And(1 < u,u < 2
^(1/2)), x < -u^2, And(u^2+x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1
, 1], [1265743/1048576, 1265743/1048576], [-3, -3], [-1617841/2097152, -\
1617841/2097152], [3, 3]]]], [[8, 13, 1, 1, 1], [v = 1, And(2^(1/2) < u,u < 3^
(1/2)), x < -u^2, y < x-u^2+2, z = z], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [-4, -4], [-6, -6], [0, 0]]]], [[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 = -2*u^2+2*v^2, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-1299559/524288, -2599117/
1048576], [-12404333/4194304, -49617331/16777216], [0, 0]]]], [[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
(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3,
-3], [-8388607/4194304, -8388607/4194304], [-3, -3]]]], [[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(x-u^2
+v^2+1 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [-\
8388607/4194304, -8388607/4194304], [-1048577/1048576, -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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3, -3], [-8388607/4194304, -8388607/4194304], [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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3, -3], [-8388607/4194304, -8388607/4194304], [1, 1048577/
1048576]]]], [[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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), (y-x)^(1/2) <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3, -3], [-8388607/4194304, -8388607/4194304], [3, 3]]]], [
[9, 11, 10, 9, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x =
1, -u^2+v^2+2 < y, z < -(y-1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [1, 1], [4, 4], [-3, -3]]]
], [[9, 11, 10, 9, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v),
x = 1, -u^2+v^2+2 < y, 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, 9, 3], [And(1 < v,v < 2^(1/2)), 
And((v^2-1)^(1/2) < u,u < v), x = 1, -u^2+v^2+2 < y, 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, 9, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 1, -u^
2+v^2+2 < y, 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, 9, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^
(1/2) < u,u < v), x = 1, -u^2+v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [1, 1], [
4, 4], [3, 3]]]], [[9, 13, 11, 8, 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], [3635963/1048576, 908991/262144], [-3, -3]]]], [[9, 13, 11, 8, 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], [3635963/1048576, 908991/262144], [
-1270261/1048576, -317565/262144]]]], [[9, 13, 11, 8, 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], [3635963/1048576, 908991
/262144], [0, 0]]]], [[9, 13, 11, 8, 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], [3635963/1048576, 908991/262144], [317565/262144, 1270261/
1048576]]]], [[9, 13, 11, 8, 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],
[3635963/1048576, 908991/262144], [3, 3]]]], [[10, 2, 3, 9, 1], [v = 2^(1/2),
u = -2, And(-3 < x,x < -1), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-2, -2], [-2, -2], [2, 2], [-3, -3]]]], [[10
, 2, 3, 9, 2], [v = 2^(1/2), u = -2, And(-3 < x,x < -1), x+3 < y, z = -(y-x)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-2, -2],
[2, 2], [-2, -2]]]], [[10, 2, 3, 9, 3], [v = 2^(1/2), u = -2, And(-3 < x,x < -\
1), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [-2, -2], [2, 2], [0, 0]]]], [[10, 2, 3, 9
, 4], [v = 2^(1/2), u = -2, And(-3 < x,x < -1), x+3 < y, z = (y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-2, -2], [2, 2],
[2, 2]]]], [[10, 2, 3, 9, 5], [v = 2^(1/2), u = -2, And(-3 < x,x < -1), x+3 <
y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -\
2], [-2, -2], [2, 2], [3, 3]]]], [[10, 4, 1, 3, 1], [v = 2^(1/2), u = -3^(1/2)
, x < -2, And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-3, -3], [-2,
-2], [-2, -2]]]], [[10, 4, 1, 3, 2], [v = 2^(1/2), u = -3^(1/2), x < -2, And(x
< y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1816187/1048576, -3632373/2097152], [-3, -3], [-2, -2], [-1, -1]]]
], [[10, 4, 1, 3, 3], [v = 2^(1/2), u = -3^(1/2), x < -2, And(x < y,y < x+2),
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-1816187/1048576, -3632373/2097152], [-3, -3], [-2, -2], [0
, 0]]]], [[10, 4, 1, 3, 4], [v = 2^(1/2), u = -3^(1/2), x < -2, And(x < y,y <
x+2), z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1816187/1048576, -3632373/2097152], [-3, -3], [-2, -2], [1, 1]]]], [[10, 4, 1,
3, 5], [v = 2^(1/2), u = -3^(1/2), x < -2, And(x < y,y < x+2), (y-x)^(1/2) < z
], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -\
3632373/2097152], [-3, -3], [-2, -2], [2, 2]]]], [[10, 8, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 1], [v = 2^(1
/2), And(-1 < u,u < 0), 1 < x, x-u^2+3 < y, z < -(y-x)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-1/2, -1/2], [2, 2], [6, 6], [-3, -3]]]],
[[10, 9, 11, 9, 2], [v = 2^(1/2), And(-1 < u,u < 0), 1 < x, x-u^2+3 < y, z = -
(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2],
[2, 2], [6, 6], [-2, -2]]]], [[10, 9, 11, 9, 3], [v = 2^(1/2), And(-1 < u,u <
0), 1 < x, x-u^2+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [2, 2], [6, 6], [0, 0]]]],
[[10, 9, 11, 9, 4], [v = 2^(1/2), And(-1 < u,u < 0), 1 < x, x-u^2+3 < y, z = (
y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2],
[2, 2], [6, 6], [2, 2]]]], [[10, 9, 11, 9, 5], [v = 2^(1/2), And(-1 < u,u < 0)
, 1 < x, x-u^2+3 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [2, 2], [6, 6], [3, 3]]]], [[10, 15, 9, 8, 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], [2070669/1048576, 1035335/524288], [-3,
-3]]]], [[10, 15, 9, 8, 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], [2070669/
1048576, 1035335/524288], [-1273381/1048576, -318345/262144]]]], [[10, 15, 9,
8, 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], [2070669/
1048576, 1035335/524288], [0, 0]]]], [[10, 15, 9, 8, 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], [2070669/1048576, 1035335/524288], [318345/262144, 
1273381/1048576]]]], [[10, 15, 9, 8, 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], [
2070669/1048576, 1035335/524288], [3, 3]]]], [[10, 17, 9, 2, 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, 7, 1], [v = 2^(1/2), u
= 2, And(-1 < x,x < 0), And(0 < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [2, 2], [-1/2, -1/2], [5/4, 5/4], [-3, -3]]
]], [[10, 18, 5, 7, 2], [v = 2^(1/2), u = 2, And(-1 < x,x < 0), And(0 < y,y <
x+3), z = -(y-x)^(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, 7, 3], [v = 2^(1/2), u = 2, And(-1 < x,x < 0), And(0 < y,y < x+3), And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [-1/2, -1/2], [5/4, 5/4], [0, 0]]]], [[10, 18, 5, 7, 4], [v
= 2^(1/2), u = 2, And(-1 < x,x < 0), And(0 < y,y < x+3), z = (y-x)^(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, 7, 5], [v = 2^(1/2), u =
2, And(-1 < x,x < 0), And(0 < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [2, 2], [-1/2, -1/2], [5/4, 5/4], [3, 3]]]],
[[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(x-u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[3, 3], [-5, -5], [-9,
-9], [-33/2, -33/2], [0, 0]]]], [[11, 6, 7, 5, 1], [2^(1/2) < v, u = -v, 1 < x
, And(x < y,y < x+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [2
, 2], [5/2, 5/2], [-2, -2]]]], [[11, 6, 7, 5, 2], [2^(1/2) < v, u = -v, 1 < x,
And(x < y,y < x+1), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [2,
2], [5/2, 5/2], [-1482911/2097152, -741455/1048576]]]], [[11, 6, 7, 5, 3], [2^
(1/2) < v, u = -v, 1 < x, And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[3, 3], [-3, -3], [2, 2], [5/2, 5/2], [0, 0]]]], [[11
, 6, 7, 5, 4], [2^(1/2) < v, u = -v, 1 < x, And(x < y,y < x+1), z = (y-x)^(1/2
)], [regular_chain, [[3, 3], [-3, -3], [2, 2], [5/2, 5/2], [741455/1048576, 
46341/65536]]]], [[11, 6, 7, 5, 5], [2^(1/2) < v, u = -v, 1 < x, And(x < y,y <
x+1), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-3, -3], [2, 2], [5/2, 5/2],
[2, 2]]]], [[11, 8, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 4, 1, 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], [-\
3, -3], [0, 0]]]], [[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 = u^2-v^2+x+1, z < -(u^2-v^
2+1)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [2,
2], [1178087/262144, 4712349/1048576], [-3, -3]]]], [[11, 19, 11, 8, 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], [1178087/262144, 4712349/1048576], [-1655969/1048576, -\
3311937/2097152]]]], [[11, 19, 11, 8, 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], [1178087/262144, 4712349/1048576], [-1/4194304, -1/4194304]]]], [[11,
19, 11, 8, 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], [1178087/262144, 4712349/1048576], [51749/
32768, 1655969/1048576]]]], [[11, 19, 11, 8, 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], [1178087/
262144, 4712349/1048576], [3, 3]]]], [[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 = x-u^2+v^2+1, z = z], [regular_chain,
[[3, 3], [5, 5], [8, 8], [-7, -7], [0, 0]]]], [[1, 4, 1, 2, 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, 2
, 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, 2, 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, 1, 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], [-1, -1], [0, 0]]]], [[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 < -(y-1)^(1/2)],
[regular_chain, [[-3, -3], [0, 0], [1, 1], [12, 12], [-5, -5]]]], [[1, 11, 8,
9, 2], [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 = -(y-1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [1, 1], [12, 
12], [-1738867/524288, -3477733/1048576]]]], [[1, 11, 8, 9, 3], [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, 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, 9, 4], [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 = (y-1)^(1/2)], [regular_chain, [[-3, -3
], [0, 0], [1, 1], [12, 12], [3477733/1048576, 1738867/524288]]]], [[1, 11, 8,
9, 5], [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, (y-1)^(1/2) < z], [regular_chain, [[-3, -3], [0, 0], [1, 1], [12, 12
], [5, 5]]]], [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [
526475/262144, 2105901/1048576], [-3, -3]]]], [[1, 13, 5, 8, 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-u^2+v^2+1
, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [-1/2, -1/2], [526475/262144, 2105901/1048576], [-3321417/
2097152, -415177/262144]]]], [[1, 13, 5, 8, 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-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], [-1/2, -1/2], [526475/262144, 2105901/1048576], [0, 0
]]]], [[1, 13, 5, 8, 4], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2
)), And(-1 < x,x < 0), y = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [
526475/262144, 2105901/1048576], [415177/262144, 1660709/1048576]]]], [[1, 13,
5, 8, 5], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,
x < 0), y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [-1/2, -1/2], [526475/262144, 2105901/1048576
], [3, 3]]]], [[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 < x, z = z], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-1062385/4194304, -1062385/4194304], [-2, -2], [0, 0]
]]], [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [
522727/524288, 522727/524288], [-3, -3]]]], [[1, 19, 5, 7, 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 < u^2
-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [-1/2, -1/2], [522727/524288, 522727/524288], [-1282963/
1048576, -641481/524288]]]], [[1, 19, 5, 7, 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 < u^2-v^2+x+1), And(
-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [-1/2, -1/2], [522727/524288, 522727/524288], [0, 0
]]]], [[1, 19, 5, 7, 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 < u^2-v^2+x+1), z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [
522727/524288, 522727/524288], [641481/524288, 1282963/1048576]]]], [[1, 19, 5
, 7, 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 < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3],
[3396811/1048576, 3396811/1048576], [-1/2, -1/2], [522727/524288, 522727/
524288], [3, 3]]]], [[2, 3, 7, 3, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)),
And(0 < x,x < u^2-3), And(x-u^2+3 < 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, 5, 9, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x < u^2
-3), u^2+x-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [-799673/1048576, -\
799673/1048576], [2, 2], [-3, -3]]]], [[2, 5, 5, 9, 2], [v = -2^(1/2), And(-3^
(1/2) < u,u < v), And(-1 < x,x < u^2-3), u^2+x-1 < y, z = -(y-x)^(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, 9, 3], [v = -2^(1/2), And(-3^(1/2) < u
,u < v), And(-1 < x,x < u^2-3), u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1
/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304,
-6598195/4194304], [-799673/1048576, -799673/1048576], [2, 2], [0, 0]]]], [[2,
5, 5, 9, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x < u^2-3), u^
2+x-1 < y, z = (y-x)^(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, 9, 5], [v =
-2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x < u^2-3), u^2+x-1 < y, (y-x)^(
1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-799673/1048576, -799673/1048576], [2, 2], [3, 3]
]]], [[2, 6, 4, 2, 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, 2, 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, 2, 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, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 13, 11, 3, 1], [v = -2^(1
/2), And(1 < u,u < -v), 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [2, 2],
[1, 1], [0, 0]]]], [[2, 15, 11, 7, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)),
1 < x, And(x-u^2+3 < y,y < u^2+x-1), z < -(y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [2, 2],
[3, 3], [-2, -2]]]], [[2, 15, 11, 7, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)
), 1 < x, And(x-u^2+3 < y,y < u^2+x-1), z = -(y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [2, 2],
[3, 3], [-1, -1]]]], [[2, 15, 11, 7, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)
), 1 < x, And(x-u^2+3 < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [2, 2], [3, 3], [0, 0]]]], [[2, 15, 11, 7, 4], [v = -2^(1/2)
, And(-v < u,u < 3^(1/2)), 1 < x, And(x-u^2+3 < y,y < u^2+x-1), z = (y-x)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [2, 2], [3, 3], [1, 1]]]], [[2, 15, 11, 7, 5], [v = -2^(1/2)
, And(-v < u,u < 3^(1/2)), 1 < x, And(x-u^2+3 < y,y < u^2+x-1), (y-x)^(1/2) <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [2, 2], [3, 3], [2, 2]]]], [[2, 19, 9, 2, 1], [v = -2^(1/2),
2 < u, And(1 < x,x < u^2-3), y = x-u^2+3, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [7/2, 7/2], [-5/2, -5/2], [0, 0]]]], [[3, 2,
4, 1, 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], [-3, -3], [0, 0]]]], [[3, 8, 2, 2, 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, 2, 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, 2, 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, 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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [2, 2], [2336807/524288, 4673615/1048576],
[-3, -3]]]], [[3, 9, 11, 8, 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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [2, 2], [2336807
/524288, 4673615/1048576], [-410915/262144, -3287319/2097152]]]], [[3, 9, 11,
8, 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-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], [2, 2], [2336807
/524288, 4673615/1048576], [-1/4194304, -1/4194304]]]], [[3, 9, 11, 8, 4], [
And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y
= x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [2, 2], [2336807/524288, 4673615/1048576], [1643659/
1048576, 410915/262144]]]], [[3, 9, 11, 8, 5], [And(-2^(1/2) < v,v < -1), And(
-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y = x-u^2+v^2+1, (-u^2+v^2+1)^(1
/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [2, 2
], [2336807/524288, 4673615/1048576], [3, 3]]]], [[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 = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10, -10], [0,
0], [-5, -5]]]], [[3, 17, 1, 8, 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, 8, 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, 8, 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, 8,
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, 7, 1], [v = -1, u < -3^(1/2), And(0 <
x,x < 1), And(x < y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1],
[-3, -3], [1/2, 1/2], [5, 5], [-4, -4]]]], [[4, 1, 7, 7, 2], [v = -1, u < -3^(
1/2), And(0 < x,x < 1), And(x < y,y < u^2+x), z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [1/2, 1/2], [5, 5], [-1112183/524288, -\
2224365/1048576]]]], [[4, 1, 7, 7, 3], [v = -1, u < -3^(1/2), And(0 < x,x < 1)
, And(x < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[-1, -1], [-3, -3], [1/2, 1/2], [5, 5], [0, 0]]]], [[4, 1, 7, 7, 4], [v = -\
1, u < -3^(1/2), And(0 < x,x < 1), And(x < y,y < u^2+x), z = (y-x)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [1/2, 1/2], [5, 5], [2224365/1048576, 
1112183/524288]]]], [[4, 1, 7, 7, 5], [v = -1, u < -3^(1/2), And(0 < x,x < 1),
And(x < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-3, -3], [
1/2, 1/2], [5, 5], [4, 4]]]], [[4, 7, 5, 8, 1], [v = -1, And(-1 < u,u < 0), 
And(-1 < x,x < -u^2), y = x-u^2+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, 8, 2], [v
= -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), y = x-u^2+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, 8, 3], [v = -1, And(-1 < u,u < 0), And
(-1 < x,x < -u^2), y = x-u^2+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, 8, 4], [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), y = x-u^2+
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, 8, 5], [v = -1, And(-\
1 < u,u < 0), And(-1 < x,x < -u^2), y = x-u^2+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, 7, 1], [v = -1, And(0 < u,u < 1), x = -1, And(0 < y,y < -u^2+1), z <
-(y+1)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [3/8, 3/8], [-\
3, -3]]]], [[4, 9, 4, 7, 2], [v = -1, And(0 < u,u < 1), x = -1, And(0 < y,y <
-u^2+1), z = -(y+1)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [
3/8, 3/8], [-1229565/1048576, -307391/262144]]]], [[4, 9, 4, 7, 3], [v = -1, 
And(0 < u,u < 1), x = -1, And(0 < 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], [3/8, 3/8], [0, 0]
]]], [[4, 9, 4, 7, 4], [v = -1, And(0 < u,u < 1), x = -1, And(0 < y,y < -u^2+1
), z = (y+1)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [3/8, 3/
8], [307391/262144, 1229565/1048576]]]], [[4, 9, 4, 7, 5], [v = -1, And(0 < u,
u < 1), x = -1, And(0 < y,y < -u^2+1), (y+1)^(1/2) < z], [regular_chain, [[-1,
-1], [1/2, 1/2], [-1, -1], [3/8, 3/8], [3, 3]]]], [[4, 13, 5, 5, 1], [v = -1,
And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^
(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(
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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1672995/
2097152, -1672995/2097152], [2, 2], [-3, -3]]]], [[5, 5, 5, 9, 2], [And(-1 < v
,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), u^2-v^2+x+1
< y, z = -(y-x)^(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, 9, 3], [And(-1 < v,v < 0), And(-(v^2
+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), u^2-v^2+x+1 < y, And(-(y-x)^(
1/2) < z,z < (y-x)^(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, 9, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u
< v), And(-1 < x,x < u^2-v^2-1), u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x <
u^2-v^2-1), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2],
[-1696631/2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152], [2
, 2], [3, 3]]]], [[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 = 1, z < -1], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [1, 1], [-2, -2]]]], [[5, 8,
4, 4, 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, 4, 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, 4, 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, 4, 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, 1, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-1 <
x,x < 0), y < x, z = z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 
146543/131072], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[6, 2, 7, 7, 1], [v = 0, u
= -2^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), z < -(y-x)^(1/2)], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [1/2, 1/2], [2, 2]
, [-3, -3]]]], [[6, 2, 7, 7, 2], [v = 0, u = -2^(1/2), And(0 < x,x < 1), And(x
< y,y < x+3), z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -\
741455/524288], [1/2, 1/2], [2, 2], [-1284239/1048576, -642119/524288]]]], [[6
, 2, 7, 7, 3], [v = 0, u = -2^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), And
(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [-1482911/
1048576, -741455/524288], [1/2, 1/2], [2, 2], [0, 0]]]], [[6, 2, 7, 7, 4], [v
= 0, u = -2^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), z = (y-x)^(1/2)], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [1/2, 1/2], [2, 2]
, [642119/524288, 1284239/1048576]]]], [[6, 2, 7, 7, 5], [v = 0, u = -2^(1/2),
And(0 < x,x < 1), And(x < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[0, 0
], [-1482911/1048576, -741455/524288], [1/2, 1/2], [2, 2], [3, 3]]]], [[6, 4,
5, 5, 1], [v = 0, u = -1, And(-1 < x,x < 0), And(0 < y,y < x+2), z < -(y-x)^(1
/2)], [regular_chain, [[0, 0], [-1, -1], [-1/2, -1/2], [3/4, 3/4], [-3, -3]]]]
, [[6, 4, 5, 5, 2], [v = 0, u = -1, And(-1 < x,x < 0), And(0 < y,y < x+2), z =
-(y-x)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-1/2, -1/2], [3/4, 3/4], [-\
146543/131072, -1172343/1048576]]]], [[6, 4, 5, 5, 3], [v = 0, u = -1, And(-1
< x,x < 0), And(0 < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[0, 0], [-1, -1], [-1/2, -1/2], [3/4, 3/4], [0, 0]]]], [[6, 4,
5, 5, 4], [v = 0, u = -1, And(-1 < x,x < 0), And(0 < y,y < x+2), z = (y-x)^(1/
2)], [regular_chain, [[0, 0], [-1, -1], [-1/2, -1/2], [3/4, 3/4], [1172343/
1048576, 146543/131072]]]], [[6, 4, 5, 5, 5], [v = 0, u = -1, And(-1 < x,x < 0
), And(0 < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [-\
1/2, -1/2], [3/4, 3/4], [3, 3]]]], [[6, 8, 6, 5, 1], [v = 0, u = 1, x = 0, 2 <
y, z < -y^(1/2)], [regular_chain, [[0, 0], [1, 1], [0, 0], [3, 3], [-3, -3]]]]
, [[6, 8, 6, 5, 2], [v = 0, u = 1, x = 0, 2 < y, z = -y^(1/2)], [regular_chain
, [[0, 0], [1, 1], [0, 0], [3, 3], [-1816187/1048576, -3632373/2097152]]]], [[
6, 8, 6, 5, 3], [v = 0, u = 1, x = 0, 2 < y, 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, 5, 4], [v = 0, u = 1, x = 0, 2 < y, z = y^(1/2)], [regular_chain, [[
0, 0], [1, 1], [0, 0], [3, 3], [908093/524288, 1816187/1048576]]]], [[6, 8, 6,
5, 5], [v = 0, u = 1, x = 0, 2 < y, y^(1/2) < z], [regular_chain, [[0, 0], [1,
1], [0, 0], [3, 3], [3, 3]]]], [[6, 10, 4, 3, 1], [v = 0, u = 2^(1/2), x = -1,
And(-2 < y,y < -1), z = z], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [-1, -1], [-3/2, -3/2], [0, 0]]]], [[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 < 0, z = z], [regular_chain, [[1
/2, 1/2], [-1/2, -1/2], [1, 1], [-1, -1], [0, 0]]]], [[7, 13, 7, 3, 1], [And(0
< v,v < 1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(x-u^2+v^2+1 < y,y < 0), z
= z], [regular_chain, [[1/2, 1/2], [3, 3], [1/2, 1/2], [-29/8, -29/8], [0, 0]]
]], [[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 < 0
, z = z], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [-1, -1], [0, 0]]]],
[[8, 9, 10, 4, 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, 4
, 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, 4, 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, 13, 10, 9, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 1,
u^2+1 < y, z < -(y-1)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [1, 1], [5, 5], [-3, -3]]]], [[8, 13, 10, 9, 2], [v = 1, And
(2^(1/2) < u,u < 3^(1/2)), x = 1, u^2+1 < y, z = -(y-1)^(1/2)], [regular_chain
, [[1, 1], [3299097/2097152, 3299097/2097152], [1, 1], [5, 5], [-2, -2]]]], [[
8, 13, 10, 9, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, u^2+1 < y, 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, 9, 4], [v = 1, And(2
^(1/2) < u,u < 3^(1/2)), x = 1, u^2+1 < y, z = (y-1)^(1/2)], [regular_chain, [
[1, 1], [3299097/2097152, 3299097/2097152], [1, 1], [5, 5], [2, 2]]]], [[8, 13
, 10, 9, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, u^2+1 < y, (y-1)^(1/
2) < z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [1, 1],
[5, 5], [3, 3]]]], [[8, 15, 8, 3, 1], [v = 1, 3^(1/2) < u, x = 1, And(-u^2+3 <
y,y < 0), z = z], [regular_chain, [[1, 1], [3, 3], [1, 1], [-3, -3], [0, 0]]]]
, [[9, 5, 11, 2, 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, 8, 1, 1, 1
], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x < -2, y < x, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-3, -3], [-4, -4], [0, 0]]]], [[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, 0 < y, z < -(y
-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-4,
-4], [1, 1], [-4, -4]]]], [[9, 9, 1, 9, 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, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-4, -4], [1, 1],
[-146543/65536, -2344687/1048576]]]], [[9, 9, 1, 9, 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, 0 < y, And(-(y-x)
^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [-4, -4], [1, 1], [0, 0]]]], [[9, 9, 1, 9, 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, 0 < y, z
= (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [
-4, -4], [1, 1], [2344687/1048576, 146543/65536]]]], [[9, 9, 1, 9, 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, 0
< y, (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0
, 0], [-4, -4], [1, 1], [4, 4]]]], [[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(x < y,y < u^2-v^2+x+1), z < -
(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [-3, -3], [-5841085/2097152, -5841085/2097152], [-2,
-2]]]], [[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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-3, -3], [-5841085/2097152, -5841085/2097152
], [0, 0]]]], [[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(x < y,y < u^2-v^2+x+1), z = (y-x)^(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, 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(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-3, -3], [-5841085/2097152, -5841085/2097152], [2, 2]]]], [[9, 16,
7, 7, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(x
< y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [121853/65536, 1949649/1048576], [1/2, 1/2], [2, 2], [-3, -3]]]], [[
9, 16, 7, 7, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(0 < x,x < 1),
And(x < y,y < x+3), z = -(y-x)^(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, 7, 3], [And(1 < v,v < 2^(1/2)
), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [1/2, 1/2], [2, 2], [0, 0]]]], [[9, 16, 7, 7,
4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y
< x+3), z = (y-x)^(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, 7, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), 
And(0 < x,x < 1), And(x < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [1/2, 1/2]
, [2, 2], [3, 3]]]], [[10, 1, 5, 1, 1], [v = 2^(1/2), u < -2, And(-1 < x,x < 0
), y < x-u^2+3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-3
, -3], [-1/2, -1/2], [-8, -8], [0, 0]]]], [[10, 5, 2, 1, 1], [v = 2^(1/2), And
(-3^(1/2) < u,u < -v), x = -u^2+1, y < -u^2+1, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
1546383/1048576, -773191/524288], [-3, -3], [0, 0]]]], [[10, 7, 3, 2, 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], [-1333209/1048576, -166651/
131072], [-1, -1]]]], [[10, 7, 3, 2, 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], [-1333209/1048576, -166651/131072], [0, 0]]]], [[10, 7, 3, 2, 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], [-1333209/1048576, -166651/
131072], [1, 1]]]], [[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 < 2), 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, 5, 2], [v = 2^(1/2), u
= v, x = 1, And(1 < y,y < 2), 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, 5, 3], [v = 2^(1/2), u
= v, x = 1, And(1 < y,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], [3/2, 3/2], [0, 0]]]], [[10, 14, 6, 5, 4], [v = 2^(1/2), u =
v, x = 1, And(1 < y,y < 2), 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, 5, 5], [v = 2^(1/2), u = v, x =
1, And(1 < y,y < 2), (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, 7, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), x < -3, And(x+3 < y,
y < 0), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733
/1048576], [-4, -4], [-1/2, -1/2], [-3, -3]]]], [[11, 2, 1, 7, 2], [2^(1/2) <
v, u = -(v^2+2)^(1/2), x < -3, And(x+3 < y,y < 0), z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-4, -4], [-1/2,
-1/2], [-7846825/4194304, -980853/524288]]]], [[11, 2, 1, 7, 3], [2^(1/2) < v,
u = -(v^2+2)^(1/2), x < -3, And(x+3 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-4, -\
4], [-1/2, -1/2], [0, 0]]]], [[11, 2, 1, 7, 4], [2^(1/2) < v, u = -(v^2+2)^(1/
2), x < -3, And(x+3 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [-4, -4], [-1/2, -1/2], [980853/524288, 
1961707/1048576]]]], [[11, 2, 1, 7, 5], [2^(1/2) < v, u = -(v^2+2)^(1/2), x <
-3, And(x+3 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [-4, -4], [-1/2, -1/2], [3, 3]]]], [[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(0 < y
,y < -u^2+v^2+2), z = z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811
/1048576], [1, 1], [530531/2097152, 530531/2097152], [0, 0]]]], [[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), x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [395403/524288, 395403/524288], [5, 5],
[-4, -4]]]], [[11, 9, 9, 9, 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), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [395403/524288
, 395403/524288], [5, 5], [-1080317/524288, -2160633/1048576]]]], [[11, 9, 9,
9, 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), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [395403/524288
, 395403/524288], [5, 5], [0, 0]]]], [[11, 9, 9, 9, 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), x-u^2+v^2+1 < y
, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [395403/524288, 395403/524288], [5, 5], [2160633/1048576, 1080317/
524288]]]], [[11, 9, 9, 9, 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), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [395403/524288
, 395403/524288], [5, 5], [4, 4]]]], [[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 <
0), z = z], [regular_chain, [[3, 3], [0, 0], [1/2, 1/2], [-15/4, -15/4], [0, 0
]]]], [[11, 15, 4, 1, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1,
y < -1, z = z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [
-1, -1], [-2, -2], [0, 0]]]], [[11, 17, 4, 9, 1], [2^(1/2) < v, And(v < u,u <
(v^2+1)^(1/2)), x = -1, u^2-v^2 < y, z < -(y+1)^(1/2)], [regular_chain, [[3, 3
], [403851/131072, 403851/131072], [-1, -1], [2, 2], [-3, -3]]]], [[11, 17, 4,
9, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -1, u^2-v^2 < y, z = -(
y+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1, -1]
, [2, 2], [-1816187/1048576, -3632373/2097152]]]], [[11, 17, 4, 9, 3], [2^(1/2
) < v, And(v < u,u < (v^2+1)^(1/2)), x = -1, u^2-v^2 < y, And(-(y+1)^(1/2) < z
,z < (y+1)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [
-1, -1], [2, 2], [-1/4194304, -1/4194304]]]], [[11, 17, 4, 9, 4], [2^(1/2) < v
, And(v < u,u < (v^2+1)^(1/2)), x = -1, u^2-v^2 < y, z = (y+1)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1, -1], [2, 2], [
908093/524288, 1816187/1048576]]]], [[11, 17, 4, 9, 5], [2^(1/2) < v, And(v <
u,u < (v^2+1)^(1/2)), x = -1, u^2-v^2 < y, (y+1)^(1/2) < z], [regular_chain, [
[3, 3], [403851/131072, 403851/131072], [-1, -1], [2, 2], [3, 3]]]], [[1, 1, 5
, 1, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y < x-u^2+v^2+1
, z = z], [regular_chain, [[-3, -3], [-5, -5], [-1/2, -1/2], [-17, -17], [0, 0
]]]], [[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, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [-4, -4], [1, 1], [-4, -4]]]], [[1, 3, 1,
9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -\
3396811/1048576], [-4, -4], [1, 1], [-146543/65536, -2344687/1048576]]]], [[1,
3, 1, 9, 3], [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, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3,
-3], [-3396811/1048576, -3396811/1048576], [-4, -4], [1, 1], [0, 0]]]], [[1, 3
, 1, 9, 4], [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 = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576
, -3396811/1048576], [-4, -4], [1, 1], [2344687/1048576, 146543/65536]]]], [[1
, 3, 1, 9, 5], [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, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [-4, -4], [1, 1], [4, 4]]]], [[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 = 0,
z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [-4, -4], [0, 0], [-3, -3]]]], [[1, 9, 1, 8, 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, 8, 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, 8, 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, 8, 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, 7, 1], [v < -2^
(1/2), u = -(v^2-2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), z < -(y-x)^(1
/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [1/2, 1
/2], [2, 2], [-3, -3]]]], [[1, 10, 7, 7, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2)
, And(0 < x,x < 1), And(x < y,y < x+3), z = -(y-x)^(1/2)], [regular_chain, [[-\
3, -3], [-5548543/2097152, -2774271/1048576], [1/2, 1/2], [2, 2], [-1284239/
1048576, -642119/524288]]]], [[1, 10, 7, 7, 3], [v < -2^(1/2), u = -(v^2-2)^(1
/2), And(0 < x,x < 1), And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [1/2, 1/
2], [2, 2], [0, 0]]]], [[1, 10, 7, 7, 4], [v < -2^(1/2), u = -(v^2-2)^(1/2), 
And(0 < x,x < 1), And(x < y,y < x+3), z = (y-x)^(1/2)], [regular_chain, [[-3,
-3], [-5548543/2097152, -2774271/1048576], [1/2, 1/2], [2, 2], [642119/524288,
1284239/1048576]]]], [[1, 10, 7, 7, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), And
(0 < x,x < 1), And(x < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[-3, -3]
, [-5548543/2097152, -2774271/1048576], [1/2, 1/2], [2, 2], [3, 3]]]], [[1, 14
, 4, 1, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -1, y < -1, z = z], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1, -1], [-2, -2]
, [0, 0]]]], [[1, 16, 2, 3, 1], [v < -2^(1/2), u = -v, x = -1, And(-1 < y,y <
0), z < -(y+1)^(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(-1 < y,
y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,
y < 0), (y+1)^(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 = 0, z = z], [regular_chain, [[-3, -3], [5, 5], [16, 16], [0, 0], [
0, 0]]]], [[2, 2, 5, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 2, 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, 4, 1, 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], [-3
, -3], [0, 0]]]], [[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-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-\
3651195/2097152, -3651195/2097152], [2, 2], [-3, -3]]]], [[2, 17, 3, 9, 2], [v
= -2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), u^2+x-1 < y, z = -
(y-x)^(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, 9, 3], [v = -2^(1/2), And(
3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), u^2+x-1 < y, And(-(y-x)^(1/2) < z,
z < (y-x)^(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, 9, 4], [v = -2^(1/2), And(3^(1/2
) < u,u < 2), And(-u^2+1 < x,x < -1), u^2+x-1 < y, z = (y-x)^(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, 9, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And
(-u^2+1 < x,x < -1), u^2+x-1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911
/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-3651195/
2097152, -3651195/2097152], [2, 2], [3, 3]]]], [[2, 18, 9, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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(x-u^2+v^2+1 < y,y < x), z = z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1/2, -1/2], [-49617331/67108864, -49617331/67108864], [0,
0]]]], [[3, 5, 4, 2, 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, 2, 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
, 2, 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, 4, 1, 1],
[And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, y < -1, z =
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [-1, -1], [-2, -2], [0, 0]]]], [[3, 13, 4, 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 < y,y < 0)
, z < -(y+1)^(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(-u^2+v^2 < y,y < 0), z = -(y+1)^(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(-u^2+v^2 < y,y < 0), And(-(y+1)^(1/
2) < z,z < (y+1)^(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(-u^2+v^2 < y,y < 0), z = (y+1)^(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(-u^2+v^2 < y,y < 0), (y+1)^(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, 0 < y, z
< -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1643659/1048576, 410915/262144], [-3, -3], [1, 1], [-3, -3]]]], [[3, 14, 1, 7,
2], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x < -2, 0 < y, z = -(y-x)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576,
410915/262144], [-3, -3], [1, 1], [-2, -2]]]], [[3, 14, 1, 7, 3], [And(-2^(1/2
) < v,v < -1), u = (v^2+1)^(1/2), x < -2, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x
)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/
1048576, 410915/262144], [-3, -3], [1, 1], [0, 0]]]], [[3, 14, 1, 7, 4], [And(
-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x < -2, 0 < y, z = (y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [-3, -3], [1, 1], [2, 2]]]], [[3, 14, 1, 7, 5], [And(-2^(1/2) < v,v
< -1), u = (v^2+1)^(1/2), x < -2, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-3, -3]
, [1, 1], [3, 3]]]], [[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 = x, z < 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [2, 2], [2
, 2], [-1, -1]]]], [[3, 15, 11, 6, 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, 6, 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, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 1, 1], [v = -1, u = -1
, x < -1, y < x, z = z], [regular_chain, [[-1, -1], [-1, -1], [-2, -2], [-3, -\
3], [0, 0]]]], [[4, 10, 2, 1, 1], [v = -1, u = 1, x = -1, y < -1, z = z], [
regular_chain, [[-1, -1], [1, 1], [-1, -1], [-2, -2], [0, 0]]]], [[4, 12, 2, 5
, 1], [v = -1, u = 2^(1/2), x = -2, 0 < y, z < -(y+2)^(1/2)], [regular_chain,
[[-1, -1], [741455/524288, 1482911/1048576], [-2, -2], [1, 1], [-3, -3]]]], [[
4, 12, 2, 5, 2], [v = -1, u = 2^(1/2), x = -2, 0 < y, z = -(y+2)^(1/2)], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-2, -2], [1, 1],
[-1816187/1048576, -3632373/2097152]]]], [[4, 12, 2, 5, 3], [v = -1, u = 2^(1/
2), x = -2, 0 < y, And(-(y+2)^(1/2) < z,z < (y+2)^(1/2))], [regular_chain, [[-\
1, -1], [741455/524288, 1482911/1048576], [-2, -2], [1, 1], [-1/4194304, -1/
4194304]]]], [[4, 12, 2, 5, 4], [v = -1, u = 2^(1/2), x = -2, 0 < y, z = (y+2)
^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-2, -2]
, [1, 1], [908093/524288, 1816187/1048576]]]], [[4, 12, 2, 5, 5], [v = -1, u =
2^(1/2), x = -2, 0 < y, (y+2)^(1/2) < z], [regular_chain, [[-1, -1], [741455/
524288, 1482911/1048576], [-2, -2], [1, 1], [3, 3]]]], [[5, 2, 5, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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 = 0, z = z], [regular_chain, [[-1/2, -1/2], [343151/262144,
343151/262144], [243021/1048576, 243021/1048576], [0, 0], [0, 0]]]], [[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 <
-1), z = z], [regular_chain, [[-1/2, -1/2], [3, 3], [-1, -1], [-39/8, -39/8],
[0, 0]]]], [[6, 5, 7, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 3, 1], [v = 0, And(
0 < u,u < 1), x = 0, And(0 < y,y < -u^2+1), z < -y^(1/2)], [regular_chain, [[0
, 0], [1/2, 1/2], [0, 0], [3/8, 3/8], [-2, -2]]]], [[6, 7, 8, 3, 2], [v = 0, 
And(0 < u,u < 1), x = 0, And(0 < y,y < -u^2+1), 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, 3, 3], [v = 0, And(0 < u,u < 1), x = 0, And(0 < y,y < -u^2+1), 
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, 3, 4], [v = 0, And(0 < u,u < 1), x = 0, And(0
< y,y < -u^2+1), 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, 3, 5], [v = 0, And(0 <
u,u < 1), x = 0, And(0 < y,y < -u^2+1), y^(1/2) < z], [regular_chain, [[0, 0],
[1/2, 1/2], [0, 0], [3/8, 3/8], [2, 2]]]], [[6, 11, 5, 5, 1], [v = 0, 2^(1/2)
< u, And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), 
And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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-u^2+v^2
+1, z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [9, 9], [5/4, 5/4], [0, 0]]
]], [[7, 7, 9, 7, 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-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[1/2
, 1/2], [0, 0], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[7, 7, 9, 7, 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-u^2
+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [1/2, 1/2], [
3/2, 3/2], [-1, -1]]]], [[7, 7, 9, 7, 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-u^2+v^2+1), And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [1/2, 1/2], [3/2, 3/2
], [0, 0]]]], [[7, 7, 9, 7, 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-u^2+v^2+1), z = (y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[7, 7,
9, 7, 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-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0
], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[7, 9, 10, 2, 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,
7, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = 1, 3 < y, z < -(y-1)^(1/2)],
[regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [1, 1], [4, 4],
[-3, -3]]]], [[7, 10, 8, 7, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = 1, 3
< y, 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,
7, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = 1, 3 < y, 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, 7, 4], [And(
0 < v,v < 1), u = (v^2+1)^(1/2), x = 1, 3 < y, 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, 7, 5], [And(0 < v,v < 1), u =
(v^2+1)^(1/2), x = 1, 3 < y, (y-1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [1, 1], [4, 4], [3, 3]]]], [[7, 12, 6, 3, 1],
[And(0 < v,v < 1), u = (v^2+2)^(1/2), x = 0, And(-1 < y,y < 0), z = z], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [0, 0], [-1/2, -1/2], [0, 0]]]], [[8,
4, 9, 2, 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,
3, 1], [v = 1, And(-1 < u,u < 0), x < u^2-2, And(x < y,y < u^2+x), z < -(y-x)^
(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3], [-23/8, -23/8], [-2,
-2]]]], [[8, 7, 1, 3, 2], [v = 1, And(-1 < u,u < 0), x < u^2-2, And(x < y,y <
u^2+x), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3], [-\
23/8, -23/8], [-46341/131072, -370727/1048576]]]], [[8, 7, 1, 3, 3], [v = 1, 
And(-1 < u,u < 0), x < u^2-2, And(x < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3], [-23/8, -23/8],
[0, 0]]]], [[8, 7, 1, 3, 4], [v = 1, And(-1 < u,u < 0), x < u^2-2, And(x < y,y
< u^2+x), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3], [
-23/8, -23/8], [370727/1048576, 46341/131072]]]], [[8, 7, 1, 3, 5], [v = 1, 
And(-1 < u,u < 0), x < u^2-2, And(x < y,y < u^2+x), (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3], [-23/8, -23/8], [2, 2]]]], [[8
, 11, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 13, 1, 2, 1], [v = 1, And(2^(1/2)
< u,u < 3^(1/2)), x < -u^2, y = x-u^2+2, z = z], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [-4, -4], [-2346055/524288, -4692109/
1048576], [0, 0]]]], [[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 < -2*u^2+2*v^2, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1299559/524288, -2599117/1048576], [-4, -4], [0, 0]]]], [
[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3,
-3], [-2587389/1048576, -646847/262144], [-2, -2]]]], [[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 = x-u^2+v^
2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [-2587389/1048576, -\
646847/262144], [-1530309/2097152, -382577/524288]]]], [[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 = x-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], [-3,
-3], [-2587389/1048576, -646847/262144], [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 = x-u^2+v^2+
1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-5818805/4194304, -5818805/4194304], [-3, -3], [-2587389/1048576, -646847/
262144], [382577/524288, 765155/1048576]]]], [[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 = x-u^2+v^2+1, (-u
^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-3, -3], [-2587389/1048576, -646847/
262144], [2, 2]]]], [[9, 11, 11, 1, 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], [-1, -1], [0, 0]]]
], [[9, 13, 11, 9, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)),
1 < x, u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2], [5, 5], [-3, -3]
]]], [[9, 13, 11, 9, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2))
, 1 < x, u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2], [5, 5], [-\
1816187/1048576, -3632373/2097152]]]], [[9, 13, 11, 9, 3], [And(1 < v,v < 2^(1
/2)), And(v < u,u < (v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]]
, [[9, 13, 11, 9, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), 1
< x, u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2], [5, 5], [908093/
524288, 1816187/1048576]]]], [[9, 13, 11, 9, 5], [And(1 < v,v < 2^(1/2)), And(
v < u,u < (v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [2, 2], [5, 5], [3, 3]]]], [[10, 2, 3, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 4, 1, 2, 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, 2, 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, 2, 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, 1, 7, 1], [v = 2^(1/2), u =
-1, x < -2, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [-1, -1], [-3, -3], [1, 1], [-3, -3]]]], [[10, 8, 1, 7, 2], [v = 2^
(1/2), u = -1, x < -2, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [-3, -3], [1, 1], [-2, -2]]]], [[10, 8, 1,
7, 3], [v = 2^(1/2), u = -1, x < -2, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/
2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-3, -3], [
1, 1], [0, 0]]]], [[10, 8, 1, 7, 4], [v = 2^(1/2), u = -1, x < -2, 0 < y, z =
(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-3
, -3], [1, 1], [2, 2]]]], [[10, 8, 1, 7, 5], [v = 2^(1/2), u = -1, x < -2, 0 <
y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -\
1], [-3, -3], [1, 1], [3, 3]]]], [[10, 10, 1, 1, 1], [v = 2^(1/2), u = 0, x <
-3, y < x-1, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0]
, [-4, -4], [-6, -6], [0, 0]]]], [[10, 15, 9, 7, 1], [v = 2^(1/2), And(v < u,u
< 3^(1/2)), And(0 < x,x < 1), And(x-u^2+3 < y,y < u^2+x-1), z < -(y-x)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[10, 15, 9, 7, 2], [v = 2^(1/2
), And(v < u,u < 3^(1/2)), And(0 < x,x < 1), And(x-u^2+3 < y,y < u^2+x-1), z =
-(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]], [[10, 15, 9, 7
, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(0 < x,x < 1), And(x-u^2+3 < y,
y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455
/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [1/2, 1/2], [3/
2, 3/2], [0, 0]]]], [[10, 15, 9, 7, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)),
And(0 < x,x < 1), And(x-u^2+3 < y,y < u^2+x-1), z = (y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[10, 15, 9, 7, 5], [v = 2^(1/2),
And(v < u,u < 3^(1/2)), And(0 < x,x < 1), And(x-u^2+3 < y,y < u^2+x-1), (y-x)^
(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[10, 17, 9, 1,
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], [-1, -1], [0, 0]]]], [[10, 18, 5, 6,
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, 6, 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, 6
, 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, 6, 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, 6, 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]]]], [[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 = x-u^2+v^2+1, z = z], [regular_chain, [[3, 3], [-5, -5],
[-9, -9], [-24, -24], [0, 0]]]], [[11, 6, 7, 6, 1], [2^(1/2) < v, u = -v, 1 <
x, y = x+1, z < -1], [regular_chain, [[3, 3], [-3, -3], [2, 2], [3, 3], [-2, -\
2]]]], [[11, 6, 7, 6, 2], [2^(1/2) < v, u = -v, 1 < x, y = x+1, z = -1], [
regular_chain, [[3, 3], [-3, -3], [2, 2], [3, 3], [-1, -1]]]], [[11, 6, 7, 6,
3], [2^(1/2) < v, u = -v, 1 < x, y = x+1, And(-1 < z,z < 1)], [regular_chain,
[[3, 3], [-3, -3], [2, 2], [3, 3], [0, 0]]]], [[11, 6, 7, 6, 4], [2^(1/2) < v,
u = -v, 1 < x, y = x+1, z = 1], [regular_chain, [[3, 3], [-3, -3], [2, 2], [3,
3], [1, 1]]]], [[11, 6, 7, 6, 5], [2^(1/2) < v, u = -v, 1 < x, y = x+1, 1 < z]
, [regular_chain, [[3, 3], [-3, -3], [2, 2], [3, 3], [2, 2]]]], [[11, 8, 8, 7,
1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 1, 3 < y, z < -(y-1)^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [1, 1], [4, 4],
[-3, -3]]]], [[11, 8, 8, 7, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 1, 3 < y
, z = -(y-1)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [1, 1], [4, 4], [-1816187/1048576, -3632373/2097152]]]], [[11, 8, 8,
7, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 1, 3 < y, 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, 7, 4], [2^(1/2) <
v, u = -(v^2-1)^(1/2), x = 1, 3 < y, z = (y-1)^(1/2)], [regular_chain, [[3, 3]
, [-2965821/1048576, -11863283/4194304], [1, 1], [4, 4], [908093/524288, 
1816187/1048576]]]], [[11, 8, 8, 7, 5], [2^(1/2) < v, u = -(v^2-1)^(1/2), x =
1, 3 < y, (y-1)^(1/2) < z], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [1, 1], [4, 4], [3, 3]]]], [[11, 12, 3, 9, 1], [2^(1/2) < v
, u = (v^2-2)^(1/2), And(-3 < x,x < -1), x+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-2, -2], [2, 2], [-3,
-3]]]], [[11, 12, 3, 9, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-3 < x,x < -1
), x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 
10837/4096], [-2, -2], [2, 2], [-2, -2]]]], [[11, 12, 3, 9, 3], [2^(1/2) < v,
u = (v^2-2)^(1/2), And(-3 < x,x < -1), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-2, -2], [2
, 2], [0, 0]]]], [[11, 12, 3, 9, 4], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-3 <
x,x < -1), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [-2, -2], [2, 2], [2, 2]]]], [[11, 12, 3, 9, 5], [2^(1/2
) < v, u = (v^2-2)^(1/2), And(-3 < x,x < -1), x+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-2, -2], [2, 2], [3, 3
]]]], [[11, 14, 1, 3, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -2, And(x < y,y
< x+2), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/
1048576], [-3, -3], [-2, -2], [-2, -2]]]], [[11, 14, 1, 3, 2], [2^(1/2) < v, u
= (v^2-1)^(1/2), x < -2, And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain
, [[3, 3], [741455/262144, 2965821/1048576], [-3, -3], [-2, -2], [-1, -1]]]],
[[11, 14, 1, 3, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -2, And(x < y,y < x+2
), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [-3, -3], [-2, -2], [0, 0]]]], [[11, 14, 1, 3, 4], [
2^(1/2) < v, u = (v^2-1)^(1/2), x < -2, And(x < y,y < x+2), z = (y-x)^(1/2)],
[regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-3, -3], [-2, -2],
[1, 1]]]], [[11, 14, 1, 3, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -2, And(x
< y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [741455/262144, 
2965821/1048576], [-3, -3], [-2, -2], [2, 2]]]], [[11, 19, 11, 9, 1], [2^(1/2)
< v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, u^2-v^2+x+1 < y, z < -(y
-x)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [2, 2
], [6, 6], [-3, -3]]]], [[11, 19, 11, 9, 2], [2^(1/2) < v, And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), 1 < x, u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [2, 2], [6, 6], [-\
2, -2]]]], [[11, 19, 11, 9, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2
)^(1/2)), 1 < x, u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [2, 2], [6, 6], [0
, 0]]]], [[11, 19, 11, 9, 4], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^
(1/2)), 1 < x, u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [2, 2], [6, 6], [2, 2]]]], [[11, 19, 11, 9,
5], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, u^2-v^2+x+1
< y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [2, 2], [6, 6], [3, 3]]]], [[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(x-u^2+v^2+1 < y,y < 0), z = z], [
regular_chain, [[3, 3], [5, 5], [8, 8], [-7/2, -7/2], [0, 0]]]], [[1, 1, 6, 2,
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, 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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain,
[[-3, -3], [-3396811/1048576, -3396811/1048576], [-915943/524288, -915943/
524288], [391655/1048576, 391655/1048576], [-3, -3]]]], [[1, 3, 3, 7, 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 < u^2-v^2+x+1), z = -(y-x)^(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, 7, 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 < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x
)^(1/2))], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-\
915943/524288, -915943/524288], [391655/1048576, 391655/1048576], [0, 0]]]], [
[1, 3, 3, 7, 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 < u^2-v^2+x+1), z = (y-x)^(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, 7, 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 < u^2-v^2+x+1), (y-x)
^(1/2) < z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576],
[-915943/524288, -915943/524288], [391655/1048576, 391655/1048576], [3, 3]]]],
[[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 = u^2-v^2+x+1, z = z], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [-4, -4], [-1181835/262144, -9454679/2097152], [0
, 0]]]], [[1, 10, 7, 5, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(0 < x,x < 1
), And(0 < y,y < x), 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, 1 < y, z < -y^(1/2)], [
regular_chain, [[-3, -3], [3, 3], [0, 0], [2, 2], [-3, -3]]]], [[1, 16, 4, 5,
2], [v < -2^(1/2), u = -v, x = 0, 1 < y, z = -y^(1/2)], [regular_chain, [[-3,
-3], [3, 3], [0, 0], [2, 2], [-1482911/1048576, -741455/524288]]]], [[1, 16, 4
, 5, 3], [v < -2^(1/2), u = -v, x = 0, 1 < y, And(-y^(1/2) < z,z < y^(1/2))],
[regular_chain, [[-3, -3], [3, 3], [0, 0], [2, 2], [0, 0]]]], [[1, 16, 4, 5, 4
], [v < -2^(1/2), u = -v, x = 0, 1 < y, z = y^(1/2)], [regular_chain, [[-3, -3
], [3, 3], [0, 0], [2, 2], [741455/524288, 1482911/1048576]]]], [[1, 16, 4, 5,
5], [v < -2^(1/2), u = -v, x = 0, 1 < y, y^(1/2) < z], [regular_chain, [[-3, -\
3], [3, 3], [0, 0], [2, 2], [3, 3]]]], [[1, 21, 10, 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 = z], [regular_chain
, [[-3, -3], [5, 5], [15, 15], [15/2, 15/2], [0, 0]]]], [[2, 2, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 4, 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, 7, 1], [v =
-2^(1/2), And(0 < u,u < 1), x = -1, And(0 < y,y < -u^2+2), z < -(y+1)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-1, -1], [7/
8, 7/8], [-3, -3]]]], [[2, 11, 4, 7, 2], [v = -2^(1/2), And(0 < u,u < 1), x =
-1, And(0 < y,y < -u^2+2), z = -(y+1)^(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, 7, 3], [v = -2^(1/2), And(0 < u,u < 1), x = -\
1, And(0 < y,y < -u^2+2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-1, -1], [7/8
, 7/8], [0, 0]]]], [[2, 11, 4, 7, 4], [v = -2^(1/2), And(0 < u,u < 1), x = -1,
And(0 < y,y < -u^2+2), z = (y+1)^(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, 7, 5], [v = -2^(1/2), And(0 < u,u < 1), x = -1, And(0
< y,y < -u^2+2), (y+1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455
/524288], [1/2, 1/2], [-1, -1], [7/8, 7/8], [3, 3]]]], [[2, 17, 2, 2, 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], [-49729379/16777216, -24864689/
8388608], [0, 0]]]], [[2, 18, 8, 5, 1], [v = -2^(1/2), u = 2, x = 1, And(1 < y
,y < 4), z < -(y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [2, 2], [1, 1], [5/2, 5/2], [-3, -3]]]], [[2, 18, 8, 5, 2], [v = -2^(1/2),
u = 2, x = 1, And(1 < y,y < 4), 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, 5, 3], [v = -2^(1/2), u = 2, x = 1, And(1 < y,y
< 4), 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, 5
, 4], [v = -2^(1/2), u = 2, x = 1, And(1 < y,y < 4), 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, 5, 5], [v = -2^(1/2), u = 2
, x = 1, And(1 < y,y < 4), (y-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [2, 2], [1, 1], [5/2, 5/2], [3, 3]]]], [[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(x < y,y < 0), z < -(y-x)^(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(x < y,
y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1
/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = 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], [-3, -3]]]], [[3,
5, 4, 8, 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], [-1270261/1048576, -317565/262144]]]], [[3, 5, 4, 8,
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, 8, 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], [
317565/262144, 1270261/1048576]]]], [[3, 5, 4, 8, 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], [3, 3]]]], [[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(u^2-v^2-1 < y,y < 2*u^2-2*v^2), z < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-1646781/1048576, -3293561/2097152], [-5686381/4194304, -5686381/
4194304], [-2, -2]]]], [[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(u^2-v^2-1 < y,y < 2*u^2-2*v^2), z = -
(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-1646781/1048576, -3293561/2097152], [-\
5686381/4194304, -5686381/4194304], [-242963/524288, -485925/1048576]]]], [[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(u^2-v^2-1 < y,y < 2*u^2-2*v^2), And(-(y-u^2+v^2+1)^(1/2) < z,z <
(y-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[987341/1048576, 987341/1048576], [-1646781/1048576, -3293561/2097152], [-\
5686381/4194304, -5686381/4194304], [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(u^2-v^2-1 < y
,y < 2*u^2-2*v^2), z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-1646781/
1048576, -3293561/2097152], [-5686381/4194304, -5686381/4194304], [485925/
1048576, 242963/524288]]]], [[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(u^2-v^2-1 < y,y < 2*u^2-2*v^2),
(y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [987341/1048576, 987341/1048576], [-1646781/1048576, -3293561/2097152], [-\
5686381/4194304, -5686381/4194304], [2, 2]]]], [[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 =
x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [-2587387/2097152, -\
2587387/2097152], [-1470707/2097152, -735353/1048576], [-2, -2]]]], [[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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
2587387/2097152, -2587387/2097152], [-1470707/2097152, -735353/1048576], [-\
765155/1048576, -1530309/2097152]]]], [[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 = x-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], [-\
2587387/2097152, -2587387/2097152], [-1470707/2097152, -735353/1048576], [-1/
4194304, -1/4194304]]]], [[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 = x-u^2+v^2+1, z = (-u^2
+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [-2587387/2097152, -2587387/2097152], [-\
1470707/2097152, -735353/1048576], [382577/524288, 765155/1048576]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
2587387/2097152, -2587387/2097152], [-1470707/2097152, -735353/1048576], [2, 2
]]]], [[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+2), z < -(y-x)^(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, 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+2), z = -(y-x)^(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, 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+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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+2), z = (y-x)^(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, 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+2), (y-x)^(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, 2, 2, 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, 4, 1, 5, 1
], [v = -1, u = -2^(1/2), x < -2, And(x+2 < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3, -3], [-1/2,
-1/2], [-3, -3]]]], [[4, 4, 1, 5, 2], [v = -1, u = -2^(1/2), x < -2, And(x+2 <
y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -\
741455/524288], [-3, -3], [-1/2, -1/2], [-3315889/2097152, -207243/131072]]]],
[[4, 4, 1, 5, 3], [v = -1, u = -2^(1/2), x < -2, And(x+2 < y,y < 0), And(-(y-x
)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-1482911/1048576, -\
741455/524288], [-3, -3], [-1/2, -1/2], [0, 0]]]], [[4, 4, 1, 5, 4], [v = -1,
u = -2^(1/2), x < -2, And(x+2 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[
-1, -1], [-1482911/1048576, -741455/524288], [-3, -3], [-1/2, -1/2], [207243/
131072, 1657945/1048576]]]], [[4, 4, 1, 5, 5], [v = -1, u = -2^(1/2), x < -2,
And(x+2 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1482911/
1048576, -741455/524288], [-3, -3], [-1/2, -1/2], [3, 3]]]], [[4, 5, 11, 8, 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], [1812519/524288, 
3625039/1048576], [-3, -3]]]], [[4, 5, 11, 8, 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], [1812519/524288, 3625039/1048576], [-1265743/
1048576, -1265743/1048576]]]], [[4, 5, 11, 8, 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], [1812519/524288, 3625039/1048576],
[0, 0]]]], [[4, 5, 11, 8, 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], [1812519/524288, 3625039/1048576], [1265743/1048576, 1265743/1048576]]
]], [[4, 5, 11, 8, 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],
[1812519/524288, 3625039/1048576], [3, 3]]]], [[4, 10, 3, 6, 1], [v = -1, u =
1, And(-1 < x,x < 0), y = x+1, z < -1], [regular_chain, [[-1, -1], [1, 1], [-1
/2, -1/2], [1/2, 1/2], [-2, -2]]]], [[4, 10, 3, 6, 2], [v = -1, u = 1, And(-1
< x,x < 0), y = x+1, z = -1], [regular_chain, [[-1, -1], [1, 1], [-1/2, -1/2],
[1/2, 1/2], [-1, -1]]]], [[4, 10, 3, 6, 3], [v = -1, u = 1, And(-1 < x,x < 0),
y = x+1, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [1, 1], [-1/2, -1/2],
[1/2, 1/2], [0, 0]]]], [[4, 10, 3, 6, 4], [v = -1, u = 1, And(-1 < x,x < 0), y
= x+1, z = 1], [regular_chain, [[-1, -1], [1, 1], [-1/2, -1/2], [1/2, 1/2], [1
, 1]]]], [[4, 10, 3, 6, 5], [v = -1, u = 1, And(-1 < x,x < 0), y = x+1, 1 < z]
, [regular_chain, [[-1, -1], [1, 1], [-1/2, -1/2], [1/2, 1/2], [2, 2]]]], [[4,
12, 4, 7, 1], [v = -1, u = 2^(1/2), x = -1, 1 < y, z < -(y+1)^(1/2)], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-1, -1], [2, 2],
[-3, -3]]]], [[4, 12, 4, 7, 2], [v = -1, u = 2^(1/2), x = -1, 1 < y, z = -(y+1
)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-1, -1
], [2, 2], [-1816187/1048576, -3632373/2097152]]]], [[4, 12, 4, 7, 3], [v = -1
, u = 2^(1/2), x = -1, 1 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-1, -1], [2, 2],
[-1/4194304, -1/4194304]]]], [[4, 12, 4, 7, 4], [v = -1, u = 2^(1/2), x = -1,
1 < y, z = (y+1)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [-1, -1], [2, 2], [908093/524288, 1816187/1048576]]]], [[4, 12, 4, 7
, 5], [v = -1, u = 2^(1/2), x = -1, 1 < y, (y+1)^(1/2) < z], [regular_chain, [
[-1, -1], [741455/524288, 1482911/1048576], [-1, -1], [2, 2], [3, 3]]]], [[5,
2, 5, 2, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = x-\
1, 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, 2, 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, 2, 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, 2, 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, 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 = 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, 6, 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, 6, 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, 9, 1], [And(-1 < v,v < 0), (v^2+2)^(1/
2) < u, x = -1, u^2-v^2 < y, z < -(y+1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[3, 3], [-1, -1], [10, 10], [-5, -5]]]], [[5, 13, 4, 9, 2], [And(-1 < v,v < 0)
, (v^2+2)^(1/2) < u, x = -1, u^2-v^2 < y, z = -(y+1)^(1/2)], [regular_chain, [
[-1/2, -1/2], [3, 3], [-1, -1], [10, 10], [-1738867/524288, -3477733/1048576]]
]], [[5, 13, 4, 9, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -1, u^2-v^2
< y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [3
, 3], [-1, -1], [10, 10], [0, 0]]]], [[5, 13, 4, 9, 4], [And(-1 < v,v < 0), (v
^2+2)^(1/2) < u, x = -1, u^2-v^2 < y, z = (y+1)^(1/2)], [regular_chain, [[-1/2
, -1/2], [3, 3], [-1, -1], [10, 10], [3477733/1048576, 1738867/524288]]]], [[5
, 13, 4, 9, 5], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -1, u^2-v^2 < y, (y
+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3, 3], [-1, -1], [10, 10], [5,
5]]]], [[6, 5, 6, 1, 1], [v = 0, And(-1 < u,u < 0), x = u^2-1, y < u^2-1, z =
z], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/4, -3/4], [-2, -2], [0, 0]]]],
[[6, 7, 7, 2, 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, 2, 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, 2, 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, 7, 1], [v = 0, 2^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < u
^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-1/2, -1/2], [19
/4, 19/4], [-4, -4]]]], [[6, 11, 5, 7, 2], [v = 0, 2^(1/2) < u, And(-1 < x,x <
0), And(0 < y,y < u^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [3, 3]
, [-1/2, -1/2], [19/4, 19/4], [-1201295/524288, -2402589/1048576]]]], [[6, 11,
5, 7, 3], [v = 0, 2^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < u^2+x+1), And(
-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [3, 3], [-1/2, -1
/2], [19/4, 19/4], [0, 0]]]], [[6, 11, 5, 7, 4], [v = 0, 2^(1/2) < u, And(-1 <
x,x < 0), And(0 < y,y < u^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [
3, 3], [-1/2, -1/2], [19/4, 19/4], [2402589/1048576, 1201295/524288]]]], [[6,
11, 5, 7, 5], [v = 0, 2^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < u^2+x+1),
(y-x)^(1/2) < z], [regular_chain, [[0, 0], [3, 3], [-1/2, -1/2], [19/4, 19/4],
[4, 4]]]], [[7, 2, 1, 1, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x < -3, y
< x-1, z = z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-4, -4], [-6, -6],
[0, 0]]]], [[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-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2
], [0, 0], [-3/8, -3/8], [2, 2], [-3, -3]]]], [[7, 7, 7, 9, 2], [And(0 < v,v <
1), And(-v < u,u < v), And(-u^2+v^2-1 < x,x < 0), x-u^2+v^2+1 < y, z = -(y-x)^
(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [2, 2], [-3231929/
2097152, -403991/262144]]]], [[7, 7, 7, 9, 3], [And(0 < v,v < 1), And(-v < u,u
< v), And(-u^2+v^2-1 < x,x < 0), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-
x)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [2, 2], [0, 0]]
]], [[7, 7, 7, 9, 4], [And(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2-1 < x
,x < 0), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0
], [-3/8, -3/8], [2, 2], [403991/262144, 1615965/1048576]]]], [[7, 7, 7, 9, 5]
, [And(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2-1 < x,x < 0), x-u^2+v^2+1
< y, (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [2,
2], [3, 3]]]], [[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 < 0, z = z], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [1/2, 1/2], [-1, -1], [0, 0]]]], [[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(u^2-v^2+x+1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [
343151/262144, 343151/262144], [-4, -4], [-3222219/4194304, -3222219/4194304],
[-3, -3]]]], [[7, 11, 1, 7, 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 < 0), z = -(y-x)^(1/2)],
[regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-4, -4], [-\
3222219/4194304, -3222219/4194304], [-7540145/4194304, -471259/262144]]]], [[7
, 11, 1, 7, 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 < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2)
)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-4, -4], [-\
3222219/4194304, -3222219/4194304], [0, 0]]]], [[7, 11, 1, 7, 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 < 0), z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 
343151/262144], [-4, -4], [-3222219/4194304, -3222219/4194304], [471259/262144
, 1885037/1048576]]]], [[7, 11, 1, 7, 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 < 0), (y-x)^(1/2
) < z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-4, -4],
[-3222219/4194304, -3222219/4194304], [3, 3]]]], [[7, 12, 7, 6, 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, 6, 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, 6, 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, 7, 1], [v = 1, u = -2^(1/2), x = 1, 3 < y, z < -(y-1)^(1/2)],
[regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [1, 1], [4, 4], [
-3, -3]]]], [[8, 4, 8, 7, 2], [v = 1, u = -2^(1/2), x = 1, 3 < y, z = -(y-1)^(
1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [1, 1], [4
, 4], [-1816187/1048576, -3632373/2097152]]]], [[8, 4, 8, 7, 3], [v = 1, u = -
2^(1/2), x = 1, 3 < y, 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, 7, 4], [v = 1, u = -2^(1/2), x = 1, 3 < y, z = (y-1)^(
1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [1, 1], [4
, 4], [908093/524288, 1816187/1048576]]]], [[8, 4, 8, 7, 5], [v = 1, u = -2^(1
/2), x = 1, 3 < y, (y-1)^(1/2) < z], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [1, 1], [4, 4], [3, 3]]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576], [0, 0], [-3,
-3]]]], [[8, 11, 3, 6, 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, 6, 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, 6, 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, 6, 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, 3, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -u^
2, And(-2*u^2+2 < y,y < -u^2), z = z], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [-1297479/524288, -2594957/1048576], [-91003539/
33554432, -91003539/33554432], [0, 0]]]], [[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 = 0, z <
-(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [-4, -4], [0, 0], [-3, -3]]]], [[9, 3, 1, 8, 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, 8, 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, 8, 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,
8, 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, 5, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), 1 < x,
And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-410915/262144, -3287319/2097152], [2, 2], [3, 3], [-2, -2]
]]], [[9, 4, 9, 5, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), 1 < x, And
(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-410915/262144, -3287319/2097152], [2, 2], [3, 3], [-1, -1]]]], [[
9, 4, 9, 5, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), 1 < x, And(x < y,
y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [2, 2], [3, 3],
[0, 0]]]], [[9, 4, 9, 5, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), 1 <
x, And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-410915/262144, -3287319/2097152], [2, 2], [3, 3], [1, 1]]]
], [[9, 4, 9, 5, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), 1 < x, And(x
< y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-410915/262144, -3287319/2097152], [2, 2], [3, 3], [2, 2]]]], [[9,
11, 11, 7, 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-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [
3, 3], [-2, -2]]]], [[9, 11, 11, 7, 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-u^2+v^2+1), z = -(y-x)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [2, 2], [3, 3], [-1, -1]]]], [[9, 11, 11, 7, 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-u^2
+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [3, 3], [
0, 0]]]], [[9, 11, 11, 7, 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-u^2+v^2+1), z = (y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [2, 2], [3, 3], [1, 1]]]], [[9, 11, 11, 7, 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-u^2+v^2+1),
(y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341
/1048576, 987341/1048576], [2, 2], [3, 3], [2, 2]]]], [[9, 14, 1, 2, 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, 2, 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, 2, 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, 2, 5, 1], [v = 2^(1/2)
, u = -2, x = -3, And(-3 < y,y < 0), z < -(y+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-2, -2], [-3, -3], [-3/2, -3/2], [-3, -3]]]]
, [[10, 2, 2, 5, 2], [v = 2^(1/2), u = -2, x = -3, And(-3 < y,y < 0), z = -(y+
3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-3, -\
3], [-3/2, -3/2], [-1284239/1048576, -642119/524288]]]], [[10, 2, 2, 5, 3], [v
= 2^(1/2), u = -2, x = -3, And(-3 < y,y < 0), And(-(y+3)^(1/2) < z,z < (y+3)^(
1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-3, -3],
[-3/2, -3/2], [0, 0]]]], [[10, 2, 2, 5, 4], [v = 2^(1/2), u = -2, x = -3, And(
-3 < y,y < 0), z = (y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [-3, -3], [-3/2, -3/2], [642119/524288, 1284239/1048576]]]
], [[10, 2, 2, 5, 5], [v = 2^(1/2), u = -2, x = -3, And(-3 < y,y < 0), (y+3)^(
1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-3, -\
3], [-3/2, -3/2], [3, 3]]]], [[10, 3, 10, 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, 10, 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, 10, 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, 8, 3, 1, 1], [v = 2^(1/2), u = -1, And(-2 < x,x < -1), y <
x, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-3/2,
-3/2], [-3, -3], [0, 0]]]], [[10, 10, 1, 3, 1], [v = 2^(1/2), u = 0, x < -3, 
And(x-1 < y,y < x), z = z], [regular_chain, [[741455/524288, 1482911/1048576],
[0, 0], [-4, -4], [-9/2, -9/2], [0, 0]]]], [[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], [275385/524288, 550771/1048576], [-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], [275385/524288, 550771/1048576], [-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], [275385/524288, 550771/1048576], [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], [275385/524288, 550771/1048576], [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], [275385/524288,
550771/1048576], [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(x-u^2+3 < 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, 4, 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, 4, 3, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = -1, And(-u
^2+v^2 < y,y < -1), z = z], [regular_chain, [[3, 3], [-5, -5], [-1, -1], [-17/
2, -17/2], [0, 0]]]], [[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 < 0, z = z
], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [1, 1], [-1
, -1], [0, 0]]]], [[11, 12, 5, 5, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-1
< x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y
< 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) <
z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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, z = z],
[regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [-3,
-3], [0, 0]]]], [[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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [2, 2], [1702375/
524288, 1702375/524288], [-3, -3]]]], [[11, 19, 11, 7, 2], [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 = -(
y-x)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [2,
2], [1702375/524288, 1702375/524288], [-1170947/1048576, -585473/524288]]]], [
[11, 19, 11, 7, 3], [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), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [2, 2], [1702375/
524288, 1702375/524288], [0, 0]]]], [[11, 19, 11, 7, 4], [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 = (y-x
)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [2, 2],
[1702375/524288, 1702375/524288], [585473/524288, 1170947/1048576]]]], [[11, 
19, 11, 7, 5], [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), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [2, 2], [1702375/524288, 1702375/524288], [
3, 3]]]], [[11, 21, 8, 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,
8, 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, 8, 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, 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-u^2+v^2+1 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain
, [[-3, -3], [-403851/131072, -403851/131072], [2, 2], [3, 3], [-2, -2]]]], [[
1, 5, 11, 7, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(x-u^
2+v^2+1 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [2, 2], [3, 3], [-1, -1]]]], [[1, 5, 11, 7, 3]
, [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(x-u^2+v^2+1 < y,y <
u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3
], [-403851/131072, -403851/131072], [2, 2], [3, 3], [0, 0]]]], [[1, 5, 11, 7,
4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(x-u^2+v^2+1 < y,y
< u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072,
-403851/131072], [2, 2], [3, 3], [1, 1]]]], [[1, 5, 11, 7, 5], [v < -2^(1/2),
And(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), (y
-x)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [
2, 2], [3, 3], [2, 2]]]], [[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 = 0, z = z], [regular_chain, [[-3,
-3], [0, 0], [1/2, 1/2], [0, 0], [0, 0]]]], [[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(0 < y,y < -u^2+v^2), z <
-(y+1)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-\
1, -1], [395403/524288, 395403/524288], [-3, -3]]]], [[1, 13, 4, 7, 2], [v < -
2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, And(0 < y,y < -u^2+
v^2), z = -(y+1)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [-1, -1], [395403/524288, 395403/524288], [-347197/262144, -1388787/
1048576]]]], [[1, 13, 4, 7, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-\
1)^(1/2)), x = -1, And(0 < y,y < -u^2+v^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/
2))], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1, -1], [
395403/524288, 395403/524288], [0, 0]]]], [[1, 13, 4, 7, 4], [v < -2^(1/2), 
And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, And(0 < y,y < -u^2+v^2), z =
(y+1)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1
, -1], [395403/524288, 395403/524288], [1388787/1048576, 347197/262144]]]], [[
1, 13, 4, 7, 5], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x =
-1, And(0 < y,y < -u^2+v^2), (y+1)^(1/2) < z], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [-1, -1], [395403/524288, 395403/524288], [3,
3]]]], [[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(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-3,
-3], [403851/131072, 403851/131072], [-1062385/4194304, -1062385/4194304], [-\
66399/524288, -66399/524288], [-2, -2]]]], [[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(x < y,y < 0), z =
-(y-x)^(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, 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(x < y,y < 0), And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [403851/131072, 403851/131072]
, [-1062385/4194304, -1062385/4194304], [-66399/524288, -66399/524288], [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(x < y,y < 0), z = (y-x)^(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, 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(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072,
403851/131072], [-1062385/4194304, -1062385/4194304], [-66399/524288, -66399/
524288], [2, 2]]]], [[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(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z
= -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0),
(y-x)^(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 = u^2-2, z <
-(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-1, -1], [248903/524288, 497807/1048576],
[-3, -3]]]], [[2, 5, 4, 8, 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], [248903/524288, 
497807/1048576], [-636691/524288, -1273381/1048576]]]], [[2, 5, 4, 8, 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], [248903/524288, 497807/1048576],
[0, 0]]]], [[2, 5, 4, 8, 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], [248903/524288, 
497807/1048576], [1273381/1048576, 636691/524288]]]], [[2, 5, 4, 8, 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], [248903/524288, 497807/1048576], [3, 3]]]], [[2, 6
, 5, 7, 1], [v = -2^(1/2), u = v, And(0 < x,x < 1), x+1 < y, z < -(y-x)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -\
741455/524288], [1/2, 1/2], [3, 3], [-3, -3]]]], [[2, 6, 5, 7, 2], [v = -2^(1/
2), u = v, And(0 < x,x < 1), x+1 < y, z = -(y-x)^(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, 7, 3], [v = -2^(
1/2), u = v, And(0 < x,x < 1), x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -\
741455/524288], [1/2, 1/2], [3, 3], [0, 0]]]], [[2, 6, 5, 7, 4], [v = -2^(1/2)
, u = v, And(0 < x,x < 1), x+1 < y, z = (y-x)^(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, 7, 5], [v = -2^(1/
2), u = v, And(0 < x,x < 1), x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [1/2, 1/
2], [3, 3], [3, 3]]]], [[2, 8, 7, 1, 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], [-1, -1], [0, 0]]]], [[2, 13, 10, 6, 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], [763943/
524288, 1527887/1048576], [-2, -2]]]], [[2, 13, 10, 6, 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], [763943
/524288, 1527887/1048576], [-1417877/2097152, -354469/524288]]]], [[2, 13, 10,
6, 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], [763943/524288, 1527887/1048576], [
0, 0]]]], [[2, 13, 10, 6, 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], [763943/524288, 1527887/1048576], [
354469/524288, 708939/1048576]]]], [[2, 13, 10, 6, 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], [763943/
524288, 1527887/1048576], [2, 2]]]], [[2, 15, 11, 5, 1], [v = -2^(1/2), And(-v
< u,u < 3^(1/2)), 1 < x, And(x < y,y < x-u^2+3), z < -(y-x)^(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(x < y,y < x-u^2+3)
, z = -(y-x)^(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(x < y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (
y-x)^(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(x < y,y < x-u^2+3), z = (y-x)^(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(x < y,y < x-
u^2+3), (y-x)^(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(0 < y,y
< u^2-3), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3],
[6, 6], [3, 3], [0, 0]]]], [[3, 2, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 1], [And(-2^(1/2) < v,v < -1), u =
-(v^2-1)^(1/2), x < -2, And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-3
, -3], [-2, -2], [-2, -2]]]], [[3, 8, 1, 3, 2], [And(-2^(1/2) < v,v < -1), u =
-(v^2-1)^(1/2), x < -2, And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-3
, -3], [-2, -2], [-1, -1]]]], [[3, 8, 1, 3, 3], [And(-2^(1/2) < v,v < -1), u =
-(v^2-1)^(1/2), x < -2, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/
2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152
, -354469/524288], [-3, -3], [-2, -2], [0, 0]]]], [[3, 8, 1, 3, 4], [And(-2^(1
/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -2, And(x < y,y < x+2), z = (y-x)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152,
-354469/524288], [-3, -3], [-2, -2], [1, 1]]]], [[3, 8, 1, 3, 5], [And(-2^(1/2
) < v,v < -1), u = -(v^2-1)^(1/2), x < -2, And(x < y,y < x+2), (y-x)^(1/2) < z
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-3, -3], [-2, -2], [2, 2]]]], [[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 = x, z < 0]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [2, 2], [2, 2
], [-1, -1]]]], [[3, 9, 11, 6, 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, 6,
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, 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 = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [-4478937/524288, -8957873/1048576
], [-17, -17], [0, 0]]]], [[4, 1, 8, 4, 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, 3, 1], [v = -1, And(-1 < u,u < 0), x = -1, And(-1 < y,y < u^2-1), z <
-(y+1)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [-7/8, -7/8]
, [-2, -2]]]], [[4, 7, 4, 3, 2], [v = -1, And(-1 < u,u < 0), x = -1, And(-1 <
y,y < u^2-1), z = -(y+1)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1,
-1], [-7/8, -7/8], [-46341/131072, -370727/1048576]]]], [[4, 7, 4, 3, 3], [v =
-1, And(-1 < u,u < 0), x = -1, And(-1 < 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], [-7/8, -7/8]
, [0, 0]]]], [[4, 7, 4, 3, 4], [v = -1, And(-1 < u,u < 0), x = -1, And(-1 < y,
y < u^2-1), z = (y+1)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1
], [-7/8, -7/8], [370727/1048576, 46341/131072]]]], [[4, 7, 4, 3, 5], [v = -1,
And(-1 < u,u < 0), x = -1, And(-1 < y,y < u^2-1), (y+1)^(1/2) < z], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [-7/8, -7/8], [2, 2]]]], [[4
, 9, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = -1, 
And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), And(0 < y,y < u^2+x), z < -(y
-x)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1
/2, -1/2], [2070669/2097152, 2070669/2097152], [-3, -3]]]], [[4, 13, 5, 7, 2],
[v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), And(0 < y,y < u^2+x)
, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [-1/2, -1/2], [2070669/2097152, 2070669/2097152], [-1278821/1048576,
-319705/262144]]]], [[4, 13, 5, 7, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)),
And(-1 < x,x < 0), And(0 < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2]
, [2070669/2097152, 2070669/2097152], [0, 0]]]], [[4, 13, 5, 7, 4], [v = -1, 
And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), And(0 < y,y < u^2+x), z = (y-
x)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1/
2, -1/2], [2070669/2097152, 2070669/2097152], [319705/262144, 1278821/1048576]
]]], [[4, 13, 5, 7, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x <
0), And(0 < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-1/2, -1/2], [2070669/2097152, 2070669/
2097152], [3, 3]]]], [[4, 15, 3, 3, 1], [v = -1, 3^(1/2) < u, And(-u^2 < x,x <
-1), And(x-u^2+2 < y,y < x), z = z], [regular_chain, [[-1, -1], [3, 3], [-5, -\
5], [-17/2, -17/2], [0, 0]]]], [[5, 5, 4, 4, 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], [-2, -2]]]], [[5, 5, 4, 4, 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], [-1618333/2097152, -3236665/
4194304]]]], [[5, 5, 4, 4, 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], [-1/8388608, -1/8388608]]]], [[5, 5, 4,
4, 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], [404583/524288,
809167/1048576]]]], [[5, 5, 4, 4, 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], [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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2
)], [regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [-1/2, -1/2], [-2, -2
]]]], [[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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 3, 3], [And(-1 < v,v < 0), And(v < u,u < -v), And(-1 <
x,x < -u^2+v^2-1), And(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^
(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [-1/2, -1/2], [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(x < y,y < u^2-v^2+x+1), z = (y-x)^(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, 3, 5], [And(-1 < v,v < 0), And(v < u,u < -v), And(-1 <
x,x < -u^2+v^2-1), And(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [-1/2, -1/2], [2, 2]]]], [
[5, 8, 6, 2, 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,
7, 3, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(0 < x,x < 1), And(0 < y,y
< x), z = z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072],
[1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[6, 2, 7, 1, 1], [v = 0, u = -2^(1/2), And
(0 < x,x < 1), y < x-1, z = z], [regular_chain, [[0, 0], [-1482911/1048576, -\
741455/524288], [1/2, 1/2], [-2, -2], [0, 0]]]], [[6, 4, 5, 3, 1], [v = 0, u =
-1, And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[
0, 0], [-1, -1], [-1/2, -1/2], [-1/4, -1/4], [-2, -2]]]], [[6, 4, 5, 3, 2], [v
= 0, u = -1, And(-1 < x,x < 0), And(x < y,y < 0), z = -(y-x)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-1/2, -1/2], [-1/4, -1/4], [-1/2, -1/2]]]],
[[6, 4, 5, 3, 3], [v = 0, u = -1, And(-1 < x,x < 0), And(x < y,y < 0), And(-(y
-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [-1, -1], [-1/2, -1/
2], [-1/4, -1/4], [0, 0]]]], [[6, 4, 5, 3, 4], [v = 0, u = -1, And(-1 < x,x <
0), And(x < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-1
/2, -1/2], [-1/4, -1/4], [1/2, 1/2]]]], [[6, 4, 5, 3, 5], [v = 0, u = -1, And(
-1 < x,x < 0), And(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[0, 0], [-\
1, -1], [-1/2, -1/2], [-1/4, -1/4], [2, 2]]]], [[6, 8, 8, 3, 1], [v = 0, u = 1
, x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[0, 0], [1, 1], [1, 1], [1
/2, 1/2], [0, 0]]]], [[6, 10, 5, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 3, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = 0, And(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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 = x+1, 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, 6, 2], [And(0 < v,v < 1), u = -v, And(0
< x,x < 1), y = x+1, 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, 6, 3], [And(0 < v,v < 1), u = -v, 
And(0 < x,x < 1), y = x+1, 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, 6, 4], [And(0 < v,v
< 1), u = -v, And(0 < x,x < 1), y = x+1, 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, 6, 5], [And(0 < v,
v < 1), u = -v, And(0 < x,x < 1), y = x+1, 1 < z], [regular_chain, [[1/2, 1/2]
, [-1/2, -1/2], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[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 < -(y-x)^(1/
2)], [regular_chain, [[1/2, 1/2], [3, 3], [1/2, 1/2], [12, 12], [-5, -5]]]], [
[7, 13, 7, 9, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), u^2-
v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [1/2, 1/2
], [12, 12], [-3555895/1048576, -1777947/524288]]]], [[7, 13, 7, 9, 3], [And(0
< v,v < 1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), u^2-v^2+x+1 < y, And(-(y-x)^(
1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3], [1/2, 1/2], [
12, 12], [0, 0]]]], [[7, 13, 7, 9, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, 
And(0 < x,x < 1), u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/
2], [3, 3], [1/2, 1/2], [12, 12], [1777947/524288, 3555895/1048576]]]], [[7, 
13, 7, 9, 5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), u^2-v^2+
x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3, 3], [1/2, 1/2], [
12, 12], [5, 5]]]], [[8, 2, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6,
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, 9
, 9, 1], [v = 1, And(-1 < u,u < 0), And(0 < x,x < 1), x-u^2+2 < y, z < -(y-x)^
(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2], [4, 4], [-3, -3]]]]
, [[8, 7, 9, 9, 2], [v = 1, And(-1 < u,u < 0), And(0 < x,x < 1), x-u^2+2 < y,
z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2], [4, 4],
[-7846825/4194304, -980853/524288]]]], [[8, 7, 9, 9, 3], [v = 1, And(-1 < u,u
< 0), And(0 < x,x < 1), x-u^2+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2], [4, 4], [0, 0]]]], [[8, 7, 9
, 9, 4], [v = 1, And(-1 < u,u < 0), And(0 < x,x < 1), x-u^2+2 < y, z = (y-x)^(
1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2], [4, 4], [980853/
524288, 1961707/1048576]]]], [[8, 7, 9, 9, 5], [v = 1, And(-1 < u,u < 0), And(
0 < x,x < 1), x-u^2+2 < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-1/2, -\
1/2], [1/2, 1/2], [4, 4], [3, 3]]]], [[8, 9, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 13, 11, 6, 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, 6, 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, 6, 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, 5
, 1], [v = 1, 3^(1/2) < u, x = 1, And(0 < y,y < 1), 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 < 0, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1, 1], [-1, -1], [0, 0]]]], [[9, 7, 10, 5, 1], [And(1 < v,v
< 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1, And(1 < y,y < u^2-v^2+2), 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(1 < y,y < u^2-v^2+2), 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(1 < 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], [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(1 < y,y < u^2-v^2+2), 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(1 < y,y < u^2-v^2+2), (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(0 < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [
763943/2097152, 763943/2097152], [-3, -3]]]], [[9, 9, 3, 7, 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-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [
763943/2097152, 763943/2097152], [-1516935/1048576, -758467/524288]]]], [[9, 9
, 3, 7, 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-u^2+v^2+1), And(-(y-x)^(1/2) < z,
z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0]
, [-1812519/1048576, -1812519/1048576], [763943/2097152, 763943/2097152], [0,
0]]]], [[9, 9, 3, 7, 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-u^2+v^2+1), z = (y-x
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-\
1812519/1048576, -1812519/1048576], [763943/2097152, 763943/2097152], [758467/
524288, 1516935/1048576]]]], [[9, 9, 3, 7, 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-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [763943/2097152, 
763943/2097152], [3, 3]]]], [[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], [-598205/524288, -\
1196409/1048576], [-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], [-598205/524288, -\
1196409/1048576], [-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], [-598205/524288, -1196409/1048576], [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], [-598205/524288, -1196409/1048576], [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], [-598205/524288, -1196409/
1048576], [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(0 < y,y < 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, 4, 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, 4, 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, 4, 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, 5, 3, 8, 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], [248903/1048576, 31113/131072], [-3, -3]]]
], [[10, 5, 3, 8, 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], [248903/1048576, 31113/131072], [-636691/524288, -1273381/
1048576]]]], [[10, 5, 3, 8, 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], [248903/1048576, 31113/131072]
, [0, 0]]]], [[10, 5, 3, 8, 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], [248903/1048576, 31113/131072], [1273381/1048576,
636691/524288]]]], [[10, 5, 3, 8, 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], [248903/1048576, 31113/131072], [3, 3]]]],
[[10, 7, 4, 3, 1], [v = 2^(1/2), And(-v < u,u < -1), x = -1, And(-1 < y,y < u^
2-2), z < -(y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [-3235683/4194304, -3235683/
4194304], [-2, -2]]]], [[10, 7, 4, 3, 2], [v = 2^(1/2), And(-v < u,u < -1), x
= -1, And(-1 < y,y < u^2-2), z = -(y+1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [-\
3235683/4194304, -3235683/4194304], [-31331/65536, -501295/1048576]]]], [[10,
7, 4, 3, 3], [v = 2^(1/2), And(-v < u,u < -1), x = -1, And(-1 < y,y < u^2-2),
And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [-3235683/
4194304, -3235683/4194304], [0, 0]]]], [[10, 7, 4, 3, 4], [v = 2^(1/2), And(-v
< u,u < -1), x = -1, And(-1 < y,y < u^2-2), z = (y+1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1,
-1], [-3235683/4194304, -3235683/4194304], [501295/1048576, 31331/65536]]]], [
[10, 7, 4, 3, 5], [v = 2^(1/2), And(-v < u,u < -1), x = -1, And(-1 < y,y < u^2
-2), (y+1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [-3235683/4194304, -3235683/
4194304], [2, 2]]]], [[10, 12, 7, 2, 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, 5, 6, 1], [v = 2^(1/2), u = v, And(0 <
x,x < 1), y = x+1, 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, 6, 2], [v = 2^(1/2), u = v, And(0 < x,x < 1), y = x+1, 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, 6, 3], [v = 2^(1/2
), u = v, And(0 < x,x < 1), y = x+1, 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, 6, 4], [v = 2^(1/2), u = v, And(0 < x,x <
1), y = x+1, 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, 6, 5], [v = 2^(1/2), u = v, And(0 < x,x < 1), y = x+1, 1 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[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(-u^2+v^2+2 < y,y < 1), 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 = -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], [3163223/1048576, 395403/131072], [-3, -3]]]], [[11,
9, 8, 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 = -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], [
3163223/1048576, 395403/131072], [-3321417/2097152, -415177/262144]]]], [[11,
9, 8, 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 = -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], [3163223/1048576, 395403/131072], [0, 0]]]], [[11, 9,
8, 6, 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], [
3163223/1048576, 395403/131072], [415177/262144, 1660709/1048576]]]], [[11, 9,
8, 6, 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], [
3163223/1048576, 395403/131072], [3, 3]]]], [[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(x < y,y < 0)
, z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y <
0), (y-x)^(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(0 < y,y < -u^2+v^2), z < -(y+1)^(1/2)], [regular_chain, [[3, 3],
[6111549/2097152, 6111549/2097152], [-1, -1], [133001/524288, 133001/524288],
[-3, -3]]]], [[11, 15, 4, 7, 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 = -(y+1)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-1, -1], [133001/524288, 133001/524288], [
-293517/262144, -1174067/1048576]]]], [[11, 15, 4, 7, 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(-(y+1)^(1/2) < z,
z < (y+1)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152]
, [-1, -1], [133001/524288, 133001/524288], [0, 0]]]], [[11, 15, 4, 7, 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 =
(y+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-1
, -1], [133001/524288, 133001/524288], [1174067/1048576, 293517/262144]]]], [[
11, 15, 4, 7, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, And(0 <
y,y < -u^2+v^2), (y+1)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152,
6111549/2097152], [-1, -1], [133001/524288, 133001/524288], [3, 3]]]], [[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 = x, z < 0], [regular_chain, [[3, 3], [403851/131072, 403851/131072],
[-1579769/2097152, -1579769/2097152], [-1579769/2097152, -1579769/2097152], [-\
1, -1]]]], [[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 = x, z = 0], [regular_chain, [[3, 3], [403851/131072
, 403851/131072], [-1579769/2097152, -1579769/2097152], [-1579769/2097152, -\
1579769/2097152], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[3,
3], [403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [-\
1579769/2097152, -1579769/2097152], [1, 1]]]], [[1, 1, 6, 1, 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], [-16, -16], [0, 0]]]], [[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 = 0,
z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [-915943/524288, -915943/524288], [0, 0], [-3, -3]]]], [[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 = 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, 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 = 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, 6, 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, 6, 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, 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(u^2-v^2+x
+1 < y,y < x), z = z], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [-4, -4], [-17843287/4194304, -17843287/4194304], [0, 0]]]]
, [[1, 10, 7, 6, 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, 6, 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, 6, 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, 3, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), 
And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-3,
-3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [-1/4, -1/4], [-2, -2]]]]
, [[1, 14, 5, 3, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(
x < y,y < 0), z = -(y-x)^(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, 3,
3], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), And
(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [741455/262144
, 2965821/1048576], [-1/2, -1/2], [-1/4, -1/4], [0, 0]]]], [[1, 14, 5, 3, 4],
[v < -2^(1/2), u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z = (y-
x)^(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, 3, 5], [v < -2^(1/2), u = (v^2
-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [-1/
4, -1/4], [2, 2]]]], [[1, 16, 4, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 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(0 < y,y < x+3), z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-1/2, -1/2], [5
/4, 5/4], [-3, -3]]]], [[2, 2, 5, 7, 2], [v = -2^(1/2), u = -2, And(-1 < x,x <
0), And(0 < y,y < x+3), z = -(y-x)^(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, 7, 3], [v = -2^(1/2), u = -2, And(-1 < x,x < 0), And(0
< y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-2, -2], [-1/2, -1/2], [5/4, 5/4], [0, 0]]]
], [[2, 2, 5, 7, 4], [v = -2^(1/2), u = -2, And(-1 < x,x < 0), And(0 < y,y < x
+3), z = (y-x)^(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,
7, 5], [v = -2^(1/2), u = -2, And(-1 < x,x < 0), And(0 < y,y < x+3), (y-x)^(1/
2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-1/2,
-1/2], [5/4, 5/4], [3, 3]]]], [[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-1 < 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, 6, 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, 6, 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, 6, 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,
6, 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, 6, 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, 3, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -
u^2+1, And(-2*u^2+4 < y,y < -u^2+1), z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-650655/262144,
-2602619/1048576], [-45685649/16777216, -45685649/16777216], [0, 0]]]], [[2, 
18, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 = 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, 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 = 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, 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 = 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, 7, 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 < -(y+1)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-1, -1], [122559/524288, 122559/524288], [-3, -3]
]]], [[3, 5, 4, 7, 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 = -(y+1)^(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, 7, 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(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304],
[-1, -1], [122559/524288, 122559/524288], [0, 0]]]], [[3, 5, 4, 7, 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 = (y+1)^(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, 7, 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), (y+1)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304
, -5818805/4194304], [-1, -1], [122559/524288, 122559/524288], [3, 3]]]], [[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], [-598205/524288, -1196409/1048576], [-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], [-598205/524288, -1196409/1048576], [-\
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], [-598205/524288, -1196409/1048576], [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], [-598205/524288, -1196409/1048576], [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], [-598205/524288, -1196409/
1048576], [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(x-u^2+v^2+1 < y,y < 0), z
< -(y-x)^(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(
x-u^2+v^2+1 < y,y < 0), z = -(y-x)^(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(x-u^2+v^2+1 < y,y < 0), 
And(-(y-x)^(1/2) < z,z < (y-x)^(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(x-u^2+v^2+1 < y,y < 0), z = (y-x)
^(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(x-u^2+v^2+1 < y,y < 0), (y-x)^(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+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, 6, 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, 6, 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, 6, 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, 6, 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, 2, 3, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x
= -3, And(-4 < y,y < -3), z = z], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [121853/65536, 1949649/1048576], [-3, -3], [-7/2, -7/2], [0, 0]]]],
[[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-u^2+2 < y,y < u^2+x), z
< -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [2, 2], [3, 3], [-2, -2]]]], [[4, 5, 11, 7, 2], [v = -1, And(-2^(1/2
) < u,u < -1), 1 < x, And(x-u^2+2 < y,y < u^2+x), z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [2, 2], [3, 3]
, [-1, -1]]]], [[4, 5, 11, 7, 3], [v = -1, And(-2^(1/2) < u,u < -1), 1 < x, 
And(x-u^2+2 < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [2, 2], [3, 3]
, [0, 0]]]], [[4, 5, 11, 7, 4], [v = -1, And(-2^(1/2) < u,u < -1), 1 < x, And(
x-u^2+2 < y,y < u^2+x), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [-1265743
/1048576, -1265743/1048576], [2, 2], [3, 3], [1, 1]]]], [[4, 5, 11, 7, 5], [v
= -1, And(-2^(1/2) < u,u < -1), 1 < x, And(x-u^2+2 < y,y < u^2+x), (y-x)^(1/2)
< z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [2, 2],
[3, 3], [2, 2]]]], [[4, 10, 3, 7, 1], [v = -1, u = 1, And(-1 < x,x < 0), x+1 <
y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [-1/2, -1/2], [2, 2],
[-3, -3]]]], [[4, 10, 3, 7, 2], [v = -1, u = 1, And(-1 < x,x < 0), x+1 < y, z
= -(y-x)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [-1/2, -1/2], [2, 2], [-\
3315889/2097152, -207243/131072]]]], [[4, 10, 3, 7, 3], [v = -1, u = 1, And(-1
< x,x < 0), x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [
[-1, -1], [1, 1], [-1/2, -1/2], [2, 2], [0, 0]]]], [[4, 10, 3, 7, 4], [v = -1,
u = 1, And(-1 < x,x < 0), x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1]
, [1, 1], [-1/2, -1/2], [2, 2], [207243/131072, 1657945/1048576]]]], [[4, 10,
3, 7, 5], [v = -1, u = 1, And(-1 < x,x < 0), x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [1, 1], [-1/2, -1/2], [2, 2], [3, 3]]]], [[4, 12, 5,
1, 1], [v = -1, u = 2^(1/2), And(-1 < x,x < 0), y < x, z = z], [regular_chain,
[[-1, -1], [741455/524288, 1482911/1048576], [-1/2, -1/2], [-2, -2], [0, 0]]]]
, [[5, 2, 5, 1, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-1 < x,x < 0),
y < x-1, z = z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1/2, -1/2], [-\
3, -3], [0, 0]]]], [[5, 4, 3, 1, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), 
And(-2 < x,x < -1), y < x, z = z], [regular_chain, [[-1/2, -1/2], [-146543/
131072, -1172343/1048576], [-3/2, -3/2], [-3, -3], [0, 0]]]], [[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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(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, 7, 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(
x < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 7, 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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 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(x < y,y < u^2-v^2+x+1), z = (y-x)^(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, 7, 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(x < y,y < u^2-v^2+x+1), (y-x)^(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,
5, 1, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y < x-u^2+
v^2+1, z = z], [regular_chain, [[-1/2, -1/2], [3, 3], [-1/2, -1/2], [-10, -10]
, [0, 0]]]], [[6, 5, 5, 9, 1], [v = 0, And(-1 < u,u < 0), And(-1 < x,x < u^2-1
), u^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-7/
8, -7/8], [2, 2], [-3, -3]]]], [[6, 5, 5, 9, 2], [v = 0, And(-1 < u,u < 0), 
And(-1 < x,x < u^2-1), u^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[0, 0]
, [-1/2, -1/2], [-7/8, -7/8], [2, 2], [-3555895/2097152, -1777947/1048576]]]],
[[6, 5, 5, 9, 3], [v = 0, And(-1 < u,u < 0), And(-1 < x,x < u^2-1), u^2+x+1 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/
2], [-7/8, -7/8], [2, 2], [0, 0]]]], [[6, 5, 5, 9, 4], [v = 0, And(-1 < u,u <
0), And(-1 < x,x < u^2-1), u^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[0,
0], [-1/2, -1/2], [-7/8, -7/8], [2, 2], [1777947/1048576, 444487/262144]]]], [
[6, 5, 5, 9, 5], [v = 0, And(-1 < u,u < 0), And(-1 < x,x < u^2-1), u^2+x+1 < y
, (y-x)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2], [-7/8, -7/8], [2, 2
], [3, 3]]]], [[6, 7, 7, 1, 1], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x < 0)
, y < x, z = z], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [-2, -2],
[0, 0]]]], [[6, 11, 5, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 2, 1, 2, 1], [And(0 <
v,v < 1), u = -(v^2+2)^(1/2), x < -3, y = x-1, z = z], [regular_chain, [[1/2,
1/2], [-3/2, -3/2], [-4, -4], [-5, -5], [0, 0]]]], [[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-u^2+v^2+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, 8, 2], [And(0 < v,v < 1), And(-v < u,u < v), And
(-u^2+v^2-1 < x,x < 0), y = x-u^2+v^2+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, 8, 3], [And(0 < v,v < 1), And(-v < u,u < v),
And(-u^2+v^2-1 < x,x < 0), y = x-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], [-3/8, -3/8], [7/8, 7
/8], [0, 0]]]], [[7, 7, 7, 8, 4], [And(0 < v,v < 1), And(-v < u,u < v), And(-u
^2+v^2-1 < x,x < 0), y = x-u^2+v^2+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, 8, 5], [And(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2-1 <
x,x < 0), y = x-u^2+v^2+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, 8, 7, 1], [And(0 < v,v
< 1), And(v < u,u < (v^2+1)^(1/2)), x = 0, u^2-v^2+1 < y, z < -y^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [0, 0], [3, 3]
, [-3, -3]]]], [[7, 9, 8, 7, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2
)), x = 0, u^2-v^2+1 < y, 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, 7, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2))
, x = 0, u^2-v^2+1 < y, 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, 7, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2))
, x = 0, u^2-v^2+1 < y, 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, 7, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 0, u^
2-v^2+1 < y, y^(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [0, 0], [3, 3], [3, 3]]]], [[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 = 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], [-805555/524288, -3222219/2097152], [-3, -3]]]], [[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 = 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], [-805555/524288, -3222219/2097152],
[-3291611/2097152, -1645805/1048576]]]], [[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 = u^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], [-805555/524288, -3222219/2097152],
[0, 0]]]], [[7, 11, 1, 6, 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], [-805555
/524288, -3222219/2097152], [1645805/1048576, 822903/524288]]]], [[7, 11, 1, 6
, 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], [-805555/524288, -3222219/2097152], [
3, 3]]]], [[7, 12, 7, 5, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(0 < x,x
< 1), And(0 < y,y < 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, 9, 1, 1], [v = 1, u = -2^(1/2), 1 < x, y
< 0, z = z], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [2,
2], [-1, -1], [0, 0]]]], [[8, 6, 7, 5, 1], [v = 1, u = -1, 1 < x, And(x < y,y
< x+1), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [2, 2], [5/2, 5/
2], [-2, -2]]]], [[8, 6, 7, 5, 2], [v = 1, u = -1, 1 < x, And(x < y,y < x+1),
z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [2, 2], [5/2, 5/2], [-\
1482911/2097152, -741455/1048576]]]], [[8, 6, 7, 5, 3], [v = 1, u = -1, 1 < x,
And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
1, 1], [-1, -1], [2, 2], [5/2, 5/2], [0, 0]]]], [[8, 6, 7, 5, 4], [v = 1, u =
-1, 1 < x, And(x < y,y < x+1), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-1,
-1], [2, 2], [5/2, 5/2], [741455/1048576, 46341/65536]]]], [[8, 6, 7, 5, 5], [
v = 1, u = -1, 1 < x, And(x < y,y < x+1), (y-x)^(1/2) < z], [regular_chain, [[
1, 1], [-1, -1], [2, 2], [5/2, 5/2], [2, 2]]]], [[8, 11, 3, 5, 1], [v = 1, And
(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), And(x-u^2+2 < y,y < 0), z < -(y-x)^
(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1288231
/1048576, -1288231/1048576], [-1437931/4194304, -1437931/4194304], [-2, -2]]]]
, [[8, 11, 3, 5, 2], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), And
(x-u^2+2 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576], [-1437931/
4194304, -1437931/4194304], [-15789521/16777216, -986845/1048576]]]], [[8, 11,
3, 5, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), And(x-u^2+2 <
y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576], [-\
1437931/4194304, -1437931/4194304], [0, 0]]]], [[8, 11, 3, 5, 4], [v = 1, And(
1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), And(x-u^2+2 < y,y < 0), z = (y-x)^(1
/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1288231/
1048576, -1288231/1048576], [-1437931/4194304, -1437931/4194304], [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(x-u^2+2 < y,y < 0), (y-x)^(1/2) < z], [regular_chain
, [[1, 1], [1265743/1048576, 1265743/1048576], [-1288231/1048576, -1288231/
1048576], [-1437931/4194304, -1437931/4194304], [2, 2]]]], [[8, 13, 2, 2, 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], [-12371053/4194304, -49484211/16777216], [0, 0]]]], [[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, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4, -4], [1, 1], [-\
4, -4]]]], [[9, 3, 1, 9, 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, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-\
4, -4], [1, 1], [-146543/65536, -2344687/1048576]]]], [[9, 3, 1, 9, 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,
0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4, -4], [
1, 1], [0, 0]]]], [[9, 3, 1, 9, 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, 0 < y, z = (y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [1, 1], [2344687/1048576, 146543/65536]]]], [[9,
3, 1, 9, 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, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4, -4], [1, 1],
[4, 4]]]], [[9, 4, 9, 6, 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,
6, 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, 6, 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, 6
, 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, 6, 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, 11, 11, 6, 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], [2547523/1048576, 636881/262144], [-2, -2]]]
], [[9, 11, 11, 6, 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], [2547523/
1048576, 636881/262144], [-1374407/2097152, -687203/1048576]]]], [[9, 11, 11,
6, 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], [
2547523/1048576, 636881/262144], [0, 0]]]], [[9, 11, 11, 6, 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], [2547523/1048576, 636881/262144], [687203/1048576,
171801/262144]]]], [[9, 11, 11, 6, 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
], [2547523/1048576, 636881/262144], [2, 2]]]], [[9, 14, 1, 1, 1], [And(1 < v,
v < 2^(1/2)), u = (v^2+1)^(1/2), x < -2, y < x, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-3, -3],
[-4, -4], [0, 0]]]], [[10, 2, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 10,
7, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, And(1 < y,y < u^2), 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, 7, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, And(
1 < y,y < u^2), 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, 7, 3], [v =
2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, And(1 < y,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], [4699771/2097152, 4699771/2097152]
, [0, 0]]]], [[10, 3, 10, 7, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1
, And(1 < y,y < u^2), 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, 7, 5]
, [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, And(1 < y,y < u^2), (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, 2, 5, 1], [v = 2^(1/2), u = -1, x = -2, 0 < y, z < -(y+2)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-2, -2], [1, 1],
[-3, -3]]]], [[10, 8, 2, 5, 2], [v = 2^(1/2), u = -1, x = -2, 0 < y, z = -(y+2
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-2, -2
], [1, 1], [-1816187/1048576, -3632373/2097152]]]], [[10, 8, 2, 5, 3], [v = 2^
(1/2), u = -1, x = -2, 0 < y, And(-(y+2)^(1/2) < z,z < (y+2)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-2, -2], [1, 1],
[-1/4194304, -1/4194304]]]], [[10, 8, 2, 5, 4], [v = 2^(1/2), u = -1, x = -2,
0 < y, z = (y+2)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1, -1], [-2, -2], [1, 1], [908093/524288, 1816187/1048576]]]], [[10, 8, 2, 5,
5], [v = 2^(1/2), u = -1, x = -2, 0 < y, (y+2)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1, -1], [-2, -2], [1, 1], [3, 3]]]], [[10,
10, 1, 2, 1], [v = 2^(1/2), u = 0, x < -3, y = x-1, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [-4, -4], [-5, -5], [0, 0]]]], [[10,
15, 8, 5, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 0, And(-u^2+3 < y,y <
u^2-1), z < -y^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [0, 0], [1, 1], [-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 < u^2-1),
z = -y^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [0, 0], [1, 1], [-1, -1]]]], [[10, 15, 8, 5, 3], [v
= 2^(1/2), And(v < u,u < 3^(1/2)), 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], [
3299097/2097152, 3299097/2097152], [0, 0], [1, 1], [0, 0]]]], [[10, 15, 8, 5,
4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 0, And(-u^2+3 < y,y < u^2-1), z
= y^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [0, 0], [1, 1], [1, 1]]]], [[10, 15, 8, 5, 5], [v =
2^(1/2), And(v < u,u < 3^(1/2)), x = 0, And(-u^2+3 < y,y < u^2-1), y^(1/2) < z
], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [0, 0], [1, 1], [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 = 0, z = z], [regular_chain, [
[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [505467/
2097152, 505467/2097152], [0, 0], [0, 0]]]], [[10, 18, 7, 5, 1], [v = 2^(1/2),
u = 2, And(0 < x,x < 1), And(0 < y,y < x), 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 = -1, z < 0], [
regular_chain, [[3, 3], [-5, -5], [-1, -1], [-1, -1], [-1, -1]]]], [[11, 1, 4,
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, 4, 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, 6, 7, 3, 1], [2^(1/2
) < v, u = -v, 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[3, 3], [-3,
-3], [2, 2], [1, 1], [0, 0]]]], [[11, 8, 7, 7, 1], [2^(1/2) < v, u = -(v^2-1)^
(1/2), And(0 < x,x < 1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3],
[-2965821/1048576, -11863283/4194304], [1/2, 1/2], [4, 4], [-3, -3]]]], [[11,
8, 7, 7, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(0 < x,x < 1), x+2 < y, z =
-(y-x)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304],
[1/2, 1/2], [4, 4], [-7846825/4194304, -980853/524288]]]], [[11, 8, 7, 7, 3],
[2^(1/2) < v, u = -(v^2-1)^(1/2), And(0 < x,x < 1), x+2 < y, And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [1/2, 1/2], [4, 4], [0, 0]]]], [[11, 8, 7, 7, 4], [2^(1/2) < v, u =
-(v^2-1)^(1/2), And(0 < x,x < 1), x+2 < y, z = (y-x)^(1/2)], [regular_chain, [
[3, 3], [-2965821/1048576, -11863283/4194304], [1/2, 1/2], [4, 4], [980853/
524288, 1961707/1048576]]]], [[11, 8, 7, 7, 5], [2^(1/2) < v, u = -(v^2-1)^(1/
2), And(0 < x,x < 1), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [1/2, 1/2], [4, 4], [3, 3]]]], [[11, 12,
5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 2,
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, 2, 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, 2, 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, 11, 6, 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, 6, 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, 6
, 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, 5, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 1, And
(0 < y,y < 1), 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(x <
y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -\
207243/65536], [-3, -3], [-2, -2], [-2, -2]]]], [[1, 4, 1, 3, 2], [v < -2^(1/2
), u = -(v^2+1)^(1/2), x < -2, And(x < y,y < x+2), z = -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-3, -3], [-2, -2
], [-1, -1]]]], [[1, 4, 1, 3, 3], [v < -2^(1/2), u = -(v^2+1)^(1/2), x < -2, 
And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
-3, -3], [-3315889/1048576, -207243/65536], [-3, -3], [-2, -2], [0, 0]]]], [[1
, 4, 1, 3, 4], [v < -2^(1/2), u = -(v^2+1)^(1/2), x < -2, And(x < y,y < x+2),
z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536]
, [-3, -3], [-2, -2], [1, 1]]]], [[1, 4, 1, 3, 5], [v < -2^(1/2), u = -(v^2+1)
^(1/2), x < -2, And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[-3, -3
], [-3315889/1048576, -207243/65536], [-3, -3], [-2, -2], [2, 2]]]], [[1, 5, 
11, 6, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y = x-u^2+v^2+
1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [2, 2], [328543/131072, 2628345/1048576], [-2, -2]]]], [[1, 5,
11, 6, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y = x-u^2+v^2+
1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [2, 2], [328543/131072, 2628345/1048576], [-373161/524288, -\
1492643/2097152]]]], [[1, 5, 11, 6, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,
u < v), 1 < x, y = x-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], [2, 2], [
328543/131072, 2628345/1048576], [-1/4194304, -1/4194304]]]], [[1, 5, 11, 6, 4
], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y = x-u^2+v^2+1, z = (
-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072
], [2, 2], [328543/131072, 2628345/1048576], [746321/1048576, 373161/524288]]]
], [[1, 5, 11, 6, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y =
x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [2, 2], [328543/131072, 2628345/1048576], [2, 2]]]],
[[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(0 < y,y < x), 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 < -(-u^2+v^2+1)^(1/2)
], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1, -1], [
395403/262144, 1581613/1048576], [-3, -3]]]], [[1, 13, 4, 8, 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], [395403/262144, 1581613/1048576], [-3321417/2097152, -415177/262144]]]]
, [[1, 13, 4, 8, 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], [395403/
262144, 1581613/1048576], [0, 0]]]], [[1, 13, 4, 8, 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], [
395403/262144, 1581613/1048576], [415177/262144, 1660709/1048576]]]], [[1, 13,
4, 8, 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], [395403/262144, 1581613/1048576], [3, 3]]]], [[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 = x, z < 0], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-1062385/4194304, -1062385/4194304], [-265597/1048576, -66399/262144
], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-3, -3], [403851
/131072, 403851/131072], [-1062385/4194304, -1062385/4194304], [-265597/
1048576, -66399/262144], [0, 0]]]], [[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 = x, 0 < z], [regular_chain,
[[-3, -3], [403851/131072, 403851/131072], [-1062385/4194304, -1062385/4194304
], [-265597/1048576, -66399/262144], [1, 1]]]], [[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 = z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [0, 0
], [-129511/524288, -129511/524288], [0, 0]]]], [[2, 3, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 4, 9, 1], [v = -2^(1/2), And(-3^(1/2) < u,u
< v), x = -1, u^2-2 < y, z < -(y+1)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [-6598195/4194304, -6598195/4194304], [-1, -1], [2, 2], [-3
, -3]]]], [[2, 5, 4, 9, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -1, u^
2-2 < y, z = -(y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [-6598195/4194304, -6598195/4194304], [-1, -1], [2, 2], [-1816187/1048576,
-3632373/2097152]]]], [[2, 5, 4, 9, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v)
, x = -1, u^2-2 < y, 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], [-1/4194304, -1/4194304]]]], [[2, 5, 4, 9, 4], [v = -2^(1/2), And
(-3^(1/2) < u,u < v), x = -1, u^2-2 < y, z = (y+1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-1, -\
1], [2, 2], [908093/524288, 1816187/1048576]]]], [[2, 5, 4, 9, 5], [v = -2^(1/
2), And(-3^(1/2) < u,u < v), x = -1, u^2-2 < y, (y+1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1, -1], [2, 2], [3, 3]]]], [[2, 6, 5, 6, 1], [v = -2^(1/2)
, u = v, And(0 < x,x < 1), y = x+1, 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, 6, 2], [v = -2^(1/2), u = v, And(0 < x,x < 1),
y = x+1, 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, 6, 3], [v = -2^(1/2), u = v, And(0 < x,x < 1), y = x+1, 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, 6, 4], [v = -2^(
1/2), u = v, And(0 < x,x < 1), y = x+1, 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, 6, 5], [v = -2^(1/2), u = v, And(0 < x,x < 1), y
= x+1, 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, 5, 1],
[v = -2^(1/2), u = -1, x = 0, 2 < y, z < -y^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [-1, -1], [0, 0], [3, 3], [-3, -3]]]], [[2, 8, 6, 5
, 2], [v = -2^(1/2), u = -1, x = 0, 2 < y, z = -y^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [0, 0], [3, 3], [-1816187/1048576,
-3632373/2097152]]]], [[2, 8, 6, 5, 3], [v = -2^(1/2), u = -1, x = 0, 2 < y, 
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, 5,
4], [v = -2^(1/2), u = -1, x = 0, 2 < y, z = y^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [0, 0], [3, 3], [908093/524288, 
1816187/1048576]]]], [[2, 8, 6, 5, 5], [v = -2^(1/2), u = -1, x = 0, 2 < y, y^
(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [0,
0], [3, 3], [3, 3]]]], [[2, 13, 10, 7, 1], [v = -2^(1/2), And(1 < u,u < -v), x
= 1, And(u^2 < y,y < -u^2+4), z < -(y-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [1, 1], [2, 2],
[-2, -2]]]], [[2, 13, 10, 7, 2], [v = -2^(1/2), And(1 < u,u < -v), x = 1, And(
u^2 < y,y < -u^2+4), z = -(y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [1, 1], [2, 2], [-1, -1]]]
], [[2, 13, 10, 7, 3], [v = -2^(1/2), And(1 < 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], [1265743/1048576, 1265743/1048576], [1, 1], [2, 2],
[0, 0]]]], [[2, 13, 10, 7, 4], [v = -2^(1/2), And(1 < u,u < -v), x = 1, And(u^
2 < y,y < -u^2+4), z = (y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [1, 1], [2, 2], [1, 1]]]],
[[2, 13, 10, 7, 5], [v = -2^(1/2), And(1 < u,u < -v), x = 1, And(u^2 < y,y < -
u^2+4), (y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[1265743/1048576, 1265743/1048576], [1, 1], [2, 2], [2, 2]]]], [[2, 15, 11, 6,
1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), 1 < x, y = x-u^2+3, z < -(-u^2+3)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152,
3299097/2097152], [2, 2], [1323961/524288, 2647923/1048576], [-2, -2]]]], [[2,
15, 11, 6, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), 1 < x, y = x-u^2+3, z =
-(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [2, 2], [1323961/524288, 2647923/1048576],
[-1519901/2097152, -379975/524288]]]], [[2, 15, 11, 6, 3], [v = -2^(1/2), And(
-v < u,u < 3^(1/2)), 1 < x, y = x-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], [2, 2], [1323961/524288, 2647923/1048576], [0, 0]]]], [[2,
15, 11, 6, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), 1 < x, y = x-u^2+3, z =
(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097
/2097152, 3299097/2097152], [2, 2], [1323961/524288, 2647923/1048576], [379975
/524288, 759951/1048576]]]], [[2, 15, 11, 6, 5], [v = -2^(1/2), And(-v < u,u <
3^(1/2)), 1 < x, y = x-u^2+3, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [2, 2], [1323961
/524288, 2647923/1048576], [2, 2]]]], [[2, 19, 10, 2, 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, 5, 5, 1], [And(-2^(1/2) < v,v <
-1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y <
0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y <
0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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(x < y,y <
x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [2, 2], [3385383/1048576, 3385383/1048576], [-3, -3]]]], [[3
, 9, 11, 7, 2], [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 < x-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [0, 0], [2, 2], [3385383/1048576, 
3385383/1048576], [-1162243/1048576, -581121/524288]]]], [[3, 9, 11, 7, 3], [
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 < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [2, 2], [3385383
/1048576, 3385383/1048576], [0, 0]]]], [[3, 9, 11, 7, 4], [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 < x-u^2+v
^2+1), z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [0, 0], [2, 2], [3385383/1048576, 3385383/1048576], [581121/524288, 1162243/
1048576]]]], [[3, 9, 11, 7, 5], [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 < x-u^2+v^2+1), (y-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [2, 2], [3385383
/1048576, 3385383/1048576], [3, 3]]]], [[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 = -2*u^2+2*v^2, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-4478937/524288
, -8957873/1048576], [-15818595/1048576, -7909297/524288], [0, 0]]]], [[4, 1,
8, 5, 1], [v = -1, u < -3^(1/2), x = 1, And(0 < y,y < 1), 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 = -1, z < 0], [regular_chain, [[-\
1, -1], [-1/2, -1/2], [-1, -1], [-1, -1], [-1, -1]]]], [[4, 7, 4, 2, 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, 2, 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, 5, 1], [v = -1, And(0 < u,u < 1), And(u^2
-2 < x,x < -1), And(u^2+x < y,y < 0), z < -(y-x)^(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(u^2+x < y,y < 0), z =
-(y-x)^(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(u^2+x < y,y < 0), And(-(y-x)^(1/2
) < z,z < (y-x)^(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(u^2+x < y,y < 0), z = (y-x)^(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(u^2+x < y,y < 0), (y-x)^(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, z < -u], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [-1/2, -1/2], [2070669/1048576, 1035335/524288], [-3, -3]]]], [[4, 
13, 5, 8, 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], [2070669/1048576, 1035335/524288], [-3299097/2097152, -3299097/
2097152]]]], [[4, 13, 5, 8, 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], [2070669/1048576, 1035335/524288], [
-1/4194304, -1/4194304]]]], [[4, 13, 5, 8, 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], [2070669/1048576, 1035335/
524288], [412387/262144, 1649549/1048576]]]], [[4, 13, 5, 8, 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], [2070669/
1048576, 1035335/524288], [3, 3]]]], [[4, 15, 3, 4, 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, 4, 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, 4, 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, 3, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -1, 
And(-1 < y,y < -u^2+v^2), z < -(y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [-1, -1], [-736367/1048576, -736367/
1048576], [-2, -2]]]], [[5, 5, 4, 3, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2
) < u,u < v), x = -1, And(-1 < y,y < -u^2+v^2), z = -(y+1)^(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, 3, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -1, And
(-1 < y,y < -u^2+v^2), And(-(y+1)^(1/2) < z,z < (y+1)^(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, 3, 4], [And
(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -1, And(-1 < y,y < -u^2+v^2
), z = (y+1)^(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, 3, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2)
< u,u < v), x = -1, And(-1 < y,y < -u^2+v^2), (y+1)^(1/2) < z], [regular_chain
, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1, -1], [-736367/
1048576, -736367/1048576], [2, 2]]]], [[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 = x, z < 0], [regular_chain,
[[-1/2, -1/2], [0, 0], [-7/8, -7/8], [-7/8, -7/8], [-1, -1]]]], [[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 = x,
z = 0], [regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [-7/8, -7/8], [0,
0]]]], [[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 = x, 0 < z], [regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8
], [-7/8, -7/8], [1, 1]]]], [[5, 8, 6, 3, 1], [And(-1 < v,v < 0), u = -v, x =
1, And(0 < y,y < 1), z = z], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1, 1]
, [1/2, 1/2], [0, 0]]]], [[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, 3 < y, z < -y^(1/2)], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [0, 0], [4, 4], [-3, -3]]]], [[6, 2, 6, 7, 2
], [v = 0, u = -2^(1/2), x = 0, 3 < y, z = -y^(1/2)], [regular_chain, [[0, 0],
[-1482911/1048576, -741455/524288], [0, 0], [4, 4], [-2, -2]]]], [[6, 2, 6, 7,
3], [v = 0, u = -2^(1/2), x = 0, 3 < y, 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, 7, 4], [v = 0, u = -2^(1/2), x = 0, 3 < y, z = y^(1/2)], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [0, 0], [4, 4], [2
, 2]]]], [[6, 2, 6, 7, 5], [v = 0, u = -2^(1/2), x = 0, 3 < y, y^(1/2) < z], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [0, 0], [4, 4], [3
, 3]]]], [[6, 4, 5, 2, 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, 2, 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, 2, 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, 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), x
+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [-1/2, -1/2], [4, 4], [-4, -4]]]], [[6, 10, 5, 9, 2], [v = 0, u = 2^
(1/2), And(-1 < x,x < 0), x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[0, 0],
[741455/524288, 1482911/1048576], [-1/2, -1/2], [4, 4], [-1112183/524288, -\
2224365/1048576]]]], [[6, 10, 5, 9, 3], [v = 0, u = 2^(1/2), And(-1 < x,x < 0)
, x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [
741455/524288, 1482911/1048576], [-1/2, -1/2], [4, 4], [0, 0]]]], [[6, 10, 5,
9, 4], [v = 0, u = 2^(1/2), And(-1 < x,x < 0), x+3 < y, z = (y-x)^(1/2)], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1/2, -1/2], [4, 4]
, [2224365/1048576, 1112183/524288]]]], [[6, 10, 5, 9, 5], [v = 0, u = 2^(1/2)
, And(-1 < x,x < 0), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[0, 0], [
741455/524288, 1482911/1048576], [-1/2, -1/2], [4, 4], [4, 4]]]], [[7, 4, 6, 2
, 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, 2, 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, 2, 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, 5, 1], [And(0 < v,v <
1), u = -v, And(0 < x,x < 1), And(x < y,y < x+1), z < -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1/2, 1/2], [1, 1], [-2, -2]]]], [[7
, 6, 5, 5, 2], [And(0 < v,v < 1), u = -v, And(0 < x,x < 1), And(x < y,y < x+1)
, z = -(y-x)^(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, 5, 3], [And(0 < v,v <
1), u = -v, And(0 < x,x < 1), And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-
x)^(1/2))], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1/2, 1/2], [1, 1], [0,
0]]]], [[7, 6, 5, 5, 4], [And(0 < v,v < 1), u = -v, And(0 < x,x < 1), And(x <
y,y < x+1), z = (y-x)^(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, 5, 5], [And(0 < v,v
< 1), u = -v, And(0 < x,x < 1), And(x < y,y < x+1), (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1/2, 1/2], [1, 1], [2, 2]]]], [[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 < -(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, 8, 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, 8, 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, 8, 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
, 8, 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, 5, 1], [v = 1, u = -3^(1/2), x = -3, And(-3
< y,y < 0), z < -(y+3)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [-3, -3], [-3/2, -3/2], [-3, -3]]]], [[8, 2, 2, 5, 2], [v =
1, u = -3^(1/2), x = -3, And(-3 < y,y < 0), z = -(y+3)^(1/2)], [regular_chain,
[[1, 1], [-1816187/1048576, -3632373/2097152], [-3, -3], [-3/2, -3/2], [-\
1284239/1048576, -642119/524288]]]], [[8, 2, 2, 5, 3], [v = 1, u = -3^(1/2), x
= -3, And(-3 < y,y < 0), And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-3, -3], [-3/2,
-3/2], [0, 0]]]], [[8, 2, 2, 5, 4], [v = 1, u = -3^(1/2), x = -3, And(-3 < y,y
< 0), z = (y+3)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/
2097152], [-3, -3], [-3/2, -3/2], [642119/524288, 1284239/1048576]]]], [[8, 2,
2, 5, 5], [v = 1, u = -3^(1/2), x = -3, And(-3 < y,y < 0), (y+3)^(1/2) < z], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-3, -3], [-3/2,
-3/2], [3, 3]]]], [[8, 7, 10, 1, 1], [v = 1, And(-1 < u,u < 0), x = 1, y < 0,
z = z], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [-1, -1], [0, 0]]]], [[
8, 9, 8, 7, 1], [v = 1, And(0 < u,u < 1), x = 0, -u^2+2 < y, z < -y^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [0, 0], [3, 3], [-3, -3]]]], [[8, 9, 8, 7,
2], [v = 1, And(0 < u,u < 1), x = 0, -u^2+2 < y, z = -y^(1/2)], [regular_chain
, [[1, 1], [1/2, 1/2], [0, 0], [3, 3], [-1816187/1048576, -3632373/2097152]]]]
, [[8, 9, 8, 7, 3], [v = 1, And(0 < u,u < 1), x = 0, -u^2+2 < y, 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, 7, 4], [v = 1, And(0 < u,u < 1), x = 0, -u
^2+2 < y, z = y^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [0, 0], [3, 3], [
908093/524288, 1816187/1048576]]]], [[8, 9, 8, 7, 5], [v = 1, And(0 < u,u < 1)
, x = 0, -u^2+2 < y, y^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2], [0, 0]
, [3, 3], [3, 3]]]], [[8, 13, 11, 5, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)),
1 < x, And(x-u^2+2 < y,y < x), z = z], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [2, 2], [3696499/2097152, 3696499/2097152], [0, 0]]
]], [[8, 15, 8, 4, 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, 10, 2, 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, 10, 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+2, z < -(u^2-v^2+
1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [1, 1], [749473/524288, 1498947/1048576], [-2, -2]
]]], [[9, 7, 10, 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+2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [
749473/524288, 1498947/1048576], [-1374407/2097152, -687203/1048576]]]], [[9,
7, 10, 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+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], [749473/524288, 1498947/1048576], [0, 0]]]], [[9, 7,
10, 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+2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [749473/524288, 
1498947/1048576], [687203/1048576, 171801/262144]]]], [[9, 7, 10, 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+2, (u^2
-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [1, 1], [749473/524288, 1498947/1048576],
[2, 2]]]], [[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 = 0, z < -(-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1812519/1048576,
-1812519/1048576], [0, 0], [-3, -3]]]], [[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 =
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, 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 = 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, 6, 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, 6, 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, 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(u^2-v^2-\
1 < y,y < 2*u^2-2*v^2), z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-1646781/1048576
, -3293561/2097152], [-5686381/4194304, -5686381/4194304], [-2, -2]]]], [[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(u^2-v^2-1 < y,y < 2*u^2-2*v^2), z = -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-1646781/1048576, -3293561/2097152], [-5686381/4194304, -5686381/
4194304], [-242963/524288, -485925/1048576]]]], [[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(u^2-v^2-1 < y,y
< 2*u^2-2*v^2), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-1646781/1048576, -3293561/2097152], [-5686381/4194304, -5686381/
4194304], [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(u^2-v^2-1 < y,y < 2*u^2-2*v^2), z = (y-u^2
+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [-1646781/1048576, -3293561/2097152], [-5686381/
4194304, -5686381/4194304], [485925/1048576, 242963/524288]]]], [[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(
u^2-v^2-1 < y,y < 2*u^2-2*v^2), (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-1646781
/1048576, -3293561/2097152], [-5686381/4194304, -5686381/4194304], [2, 2]]]],
[[9, 16, 7, 6, 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, 6,
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, 6, 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, 5, 1], [v = 2^(1/2), u < -2, x = -1,
And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y
< 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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(0 < y,y < u^2+x-1), z < -(y-x)^(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, 7, 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-1), z = -(y-x)^(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, 7, 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-1),
And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7,
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-1), z = (y-x)^(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, 7, 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-1), (y-x)^(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, 4, 2, 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, 2, 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, 2, 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, 12, 7, 3, 1], [v = 2^(
1/2), u = 1, And(0 < x,x < 1), And(0 < y,y < x), z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[
10, 14, 5, 7, 1], [v = 2^(1/2), u = v, And(0 < x,x < 1), x+1 < y, z < -(y-x)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 
1482911/1048576], [1/2, 1/2], [3, 3], [-3, -3]]]], [[10, 14, 5, 7, 2], [v = 2^
(1/2), u = v, And(0 < x,x < 1), x+1 < y, z = -(y-x)^(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, 7, 3], [v = 2^(1/2
), u = v, And(0 < x,x < 1), x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [1/2, 1/2], [3, 3], [0, 0]]]], [[10, 14, 5, 7, 4], [v = 2^(1/2), u =
v, And(0 < x,x < 1), x+1 < y, z = (y-x)^(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, 7, 5], [v = 2^(1/2), u = v
, And(0 < x,x < 1), x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288
, 1482911/1048576], [741455/524288, 1482911/1048576], [1/2, 1/2], [3, 3], [3,
3]]]], [[11, 2, 2, 5, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -3, And(-3 < y
,y < 0), z < -(y+3)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -\
3477733/1048576], [-3, -3], [-3/2, -3/2], [-3, -3]]]], [[11, 2, 2, 5, 2], [2^(
1/2) < v, u = -(v^2+2)^(1/2), x = -3, And(-3 < y,y < 0), z = -(y+3)^(1/2)], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-3, -3], [-3/2,
-3/2], [-1284239/1048576, -642119/524288]]]], [[11, 2, 2, 5, 3], [2^(1/2) < v,
u = -(v^2+2)^(1/2), x = -3, And(-3 < y,y < 0), And(-(y+3)^(1/2) < z,z < (y+3)^
(1/2))], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-3, -3
], [-3/2, -3/2], [0, 0]]]], [[11, 2, 2, 5, 4], [2^(1/2) < v, u = -(v^2+2)^(1/2
), x = -3, And(-3 < y,y < 0), z = (y+3)^(1/2)], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [-3, -3], [-3/2, -3/2], [642119/524288, 
1284239/1048576]]]], [[11, 2, 2, 5, 5], [2^(1/2) < v, u = -(v^2+2)^(1/2), x =
-3, And(-3 < y,y < 0), (y+3)^(1/2) < z], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [-3, -3], [-3/2, -3/2], [3, 3]]]], [[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 = 1, z
< 0], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [1, 1], [
1, 1], [-1, -1]]]], [[11, 3, 10, 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, 10, 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, 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 < -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], [3696259/2097152, 3696259/2097152], [-3, -3]]
]], [[11, 9, 8, 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^2-1 < y,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], [3696259/2097152, 3696259/2097152], [-1174299/
1048576, -587149/524288]]]], [[11, 9, 8, 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^2-1 < 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], [-22960369/8388608, -22960369/8388608], [533035/1048576, 133259/262144]
, [3696259/2097152, 3696259/2097152], [0, 0]]]], [[11, 9, 8, 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^2-1
< y,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], [
3696259/2097152, 3696259/2097152], [587149/524288, 1174299/1048576]]]], [[11,
9, 8, 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^2-1 < y,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], [3696259/2097152, 3696259/2097152], [3, 3]]]], [[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 = x, z < 0], [regular_chain, [[3, 3], [0, 0], [-1/2, -1/2], [-1/
2, -1/2], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[3, 3
], [0, 0], [-1/2, -1/2], [-1/2, -1/2], [0, 0]]]], [[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 = x, 0 <
z], [regular_chain, [[3, 3], [0, 0], [-1/2, -1/2], [-1/2, -1/2], [1, 1]]]], [[
11, 15, 4, 8, 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], [-3, -3]]]], [[11
, 15, 4, 8, 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], [-1287385/1048576
, -160923/131072]]]], [[11, 15, 4, 8, 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], [0, 0]]]], [[11, 15, 4, 8, 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], [160923/131072, 1287385/1048576]]]], [[11, 15, 4, 8,
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], [3, 3]]]], [[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(x < y,y
< x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [-1579769/2097152, -1579769/2097152], [-2097153/4194304, -\
2097153/4194304], [-2, -2]]]], [[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(x < y,y < x-u^2+v^2+1), z = -(y
-x)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1579769
/2097152, -1579769/2097152], [-2097153/4194304, -2097153/4194304], [-527729/
1048576, -1055457/2097152]]]], [[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(x < y,y < x-u^2+v^2+1), And(-(y
-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [-1579769/2097152, -1579769/2097152], [-2097153/4194304, -\
2097153/4194304], [-1/4194304, -1/4194304]]]], [[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(x < y,y < x-u^
2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-1579769/2097152, -1579769/2097152], [-2097153/4194304, -2097153/
4194304], [32983/65536, 527729/1048576]]]], [[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(x < y,y < x-u^2+v
^2+1), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-1579769/2097152, -1579769/2097152], [-2097153/4194304, -2097153/
4194304], [2, 2]]]], [[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(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0),
z = -(y-x)^(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(x
< y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = x, z < 0], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-4, -4], [-\
4, -4], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [-4, -4], [-4, -4], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [-4, -4], [-4, -4], [1, 1]]]], [[1, 10, 7, 3, 1], [v < -2^(1/2), u =
-(v^2-2)^(1/2), And(0 < x,x < 1), And(x-1 < 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 4, 3, 1], [v <
-2^(1/2), u = -v, x = 0, And(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y
< 1), 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 < 2*u^2-2*v^2), z < -(y-u^2+v^2+1)^(1/2)], [regular_chain,
[[-3, -3], [5, 5], [15, 15], [47/2, 47/2], [-4, -4]]]], [[1, 21, 10, 5, 2], [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 = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [15, 15], [
47/2, 47/2], [-24456785/8388608, -1528549/524288]]]], [[1, 21, 10, 5, 3], [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)
, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[-3
, -3], [5, 5], [15, 15], [47/2, 47/2], [0, 0]]]], [[1, 21, 10, 5, 4], [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
= (y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [15, 15], [47/2, 47
/2], [1528549/524288, 3057099/1048576]]]], [[1, 21, 10, 5, 5], [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), (y-u^2+v
^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [5, 5], [15, 15], [47/2, 47/2], [
4, 4]]]], [[2, 2, 5, 4, 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, 4, 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, 4, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = -2^(1/2), And
(0 < u,u < 1), x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,
y < 0), z = -(y+1)^(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(-1 < y,y < 0),
And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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
], [-650655/262144, -2602619/1048576], [-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], [-650655/262144, -2602619/1048576], [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], [-650655/262144
, -2602619/1048576], [1, 1]]]], [[2, 18, 8, 3, 1], [v = -2^(1/2), u = 2, x = 1
, And(0 < y,y < 1), z = z], [regular_chain, [[-1482911/1048576, -741455/524288
], [2, 2], [1, 1], [1/2, 1/2], [0, 0]]]], [[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(0
< y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1/2, -1/2], [
2074829/2097152, 2074829/2097152], [-3, -3]]]], [[3, 3, 5, 7, 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 < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1/2, -1/
2], [2074829/2097152, 2074829/2097152], [-639837/524288, -1279673/1048576]]]],
[[3, 3, 5, 7, 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 < u^2-v^2+x+1), And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-1/2, -1/2], [2074829/2097152, 2074829/
2097152], [0, 0]]]], [[3, 3, 5, 7, 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 < u^2-v^2+x+1),
z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-1/2, -1/2], [2074829/2097152, 2074829/
2097152], [1279673/1048576, 639837/524288]]]], [[3, 3, 5, 7, 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 < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1/2, -1/
2], [2074829/2097152, 2074829/2097152], [3, 3]]]], [[3, 5, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 < 0), z < -(y-u^2+v^2+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, 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 < 0), z = -(y-u^2+v^2+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, 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 < 0), And(-(y-u^2
+v^2+1)^(1/2) < z,z < (y-u^2+v^2+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, 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 < 0), z = (y-u^2+v^2+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, 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 < 0), (
y-u^2+v^2+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, 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 =
x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-2587387/2097152, -2587387/2097152], [-646847/
524288, -1293693/1048576], [-1, -1]]]], [[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 = x, z = 0
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-2587387/2097152, -2587387/2097152], [-646847/524288, -\
1293693/1048576], [0, 0]]]], [[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 = x, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-2587387/2097152, -2587387/2097152], [-646847/524288, -\
1293693/1048576], [1, 1]]]], [[3, 14, 3, 7, 1], [And(-2^(1/2) < v,v < -1), u =
(v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-3/2
, -3/2], [2, 2], [-3, -3]]]], [[3, 14, 3, 7, 2], [And(-2^(1/2) < v,v < -1), u
= (v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y, z = -(y-x)^(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, 7, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-2 < x,x < -1),
x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-3/2, -3/2], [2
, 2], [0, 0]]]], [[3, 14, 3, 7, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/
2), And(-2 < x,x < -1), x+2 < y, z = (y-x)^(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, 7, 5], [And(-2^(1/2) <
v,v < -1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [-3/2, -3/2], [2, 2], [3, 3]]]], [[3, 16, 1, 9, 1], [And(-2^(1/2) <
v,v < -1), u = (v^2+2)^(1/2), x < -3, 0 < y, z < -(y-x)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-4,
-4], [1, 1], [-4, -4]]]], [[3, 16, 1, 9, 2], [And(-2^(1/2) < v,v < -1), u = (v
^2+2)^(1/2), x < -3, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-4, -4], [1, 1],
[-146543/65536, -2344687/1048576]]]], [[3, 16, 1, 9, 3], [And(-2^(1/2) < v,v <
-1), u = (v^2+2)^(1/2), x < -3, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-4, -4], [1, 1], [0, 0]]]], [[3, 16, 1, 9, 4], [And(-2^(1/2) < v,v
< -1), u = (v^2+2)^(1/2), x < -3, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-4, -4],
[1, 1], [2344687/1048576, 146543/65536]]]], [[3, 16, 1, 9, 5], [And(-2^(1/2) <
v,v < -1), u = (v^2+2)^(1/2), x < -3, 0 < y, (y-x)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-4, -\
4], [1, 1], [4, 4]]]], [[4, 4, 1, 7, 1], [v = -1, u = -2^(1/2), x < -2, 0 < y,
z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/
524288], [-3, -3], [1, 1], [-3, -3]]]], [[4, 4, 1, 7, 2], [v = -1, u = -2^(1/2
), x < -2, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1482911/
1048576, -741455/524288], [-3, -3], [1, 1], [-2, -2]]]], [[4, 4, 1, 7, 3], [v
= -1, u = -2^(1/2), x < -2, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3, -3], [1, 1]
, [0, 0]]]], [[4, 4, 1, 7, 4], [v = -1, u = -2^(1/2), x < -2, 0 < y, z = (y-x)
^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3, -\
3], [1, 1], [2, 2]]]], [[4, 4, 1, 7, 5], [v = -1, u = -2^(1/2), x < -2, 0 < y,
(y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288
], [-3, -3], [1, 1], [3, 3]]]], [[4, 5, 11, 6, 1], [v = -1, And(-2^(1/2) < u,u
< -1), 1 < x, y = x-u^2+2, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [2, 2], [2666417/1048576, 1333209/524288],
[-2, -2]]]], [[4, 5, 11, 6, 2], [v = -1, And(-2^(1/2) < u,u < -1), 1 < x, y =
x-u^2+2, z = -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [2, 2], [2666417/1048576, 1333209/524288], [-772605/1048576,
-1545209/2097152]]]], [[4, 5, 11, 6, 3], [v = -1, And(-2^(1/2) < u,u < -1), 1
< x, y = x-u^2+2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain
, [[-1, -1], [-1265743/1048576, -1265743/1048576], [2, 2], [2666417/1048576, 
1333209/524288], [-1/4194304, -1/4194304]]]], [[4, 5, 11, 6, 4], [v = -1, And(
-2^(1/2) < u,u < -1), 1 < x, y = x-u^2+2, z = (-u^2+2)^(1/2)], [regular_chain,
[[-1, -1], [-1265743/1048576, -1265743/1048576], [2, 2], [2666417/1048576, 
1333209/524288], [193151/262144, 772605/1048576]]]], [[4, 5, 11, 6, 5], [v = -\
1, And(-2^(1/2) < u,u < -1), 1 < x, y = x-u^2+2, (-u^2+2)^(1/2) < z], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [2, 2], [
2666417/1048576, 1333209/524288], [2, 2]]]], [[4, 10, 4, 1, 1], [v = -1, u = 1
, x = 0, y < 0, z = z], [regular_chain, [[-1, -1], [1, 1], [0, 0], [-1, -1], [
0, 0]]]], [[4, 12, 4, 5, 1], [v = -1, u = 2^(1/2), x = -1, And(0 < y,y < 1), z
< -(y+1)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576],
[-1, -1], [1/2, 1/2], [-3, -3]]]], [[4, 12, 4, 5, 2], [v = -1, u = 2^(1/2), x
= -1, And(0 < y,y < 1), z = -(y+1)^(1/2)], [regular_chain, [[-1, -1], [741455/
524288, 1482911/1048576], [-1, -1], [1/2, 1/2], [-1284239/1048576, -642119/
524288]]]], [[4, 12, 4, 5, 3], [v = -1, u = 2^(1/2), x = -1, And(0 < y,y < 1),
And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(1/2)], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/
2], [642119/524288, 1284239/1048576]]]], [[4, 12, 4, 5, 5], [v = -1, u = 2^(1/
2), x = -1, And(0 < y,y < 1), (y+1)^(1/2) < z], [regular_chain, [[-1, -1], [
741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2], [3, 3]]]], [[5, 2, 5, 4
, 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, 4, 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, 4, 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, 2, 5, 1], [And(-1 <
v,v < 0), u = -(v^2+1)^(1/2), x = -2, 0 < y, z < -(y+2)^(1/2)], [regular_chain
, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-2, -2], [1, 1], [-3, -3
]]]], [[5, 4, 2, 5, 2], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -2, 0 < y,
z = -(y+2)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/
1048576], [-2, -2], [1, 1], [-1816187/1048576, -3632373/2097152]]]], [[5, 4, 2
, 5, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -2, 0 < y, And(-(y+2)^(1/
2) < z,z < (y+2)^(1/2))], [regular_chain, [[-1/2, -1/2], [-146543/131072, -\
1172343/1048576], [-2, -2], [1, 1], [-1/4194304, -1/4194304]]]], [[5, 4, 2, 5,
4], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -2, 0 < y, z = (y+2)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-2, -2], [1
, 1], [908093/524288, 1816187/1048576]]]], [[5, 4, 2, 5, 5], [And(-1 < v,v < 0
), u = -(v^2+1)^(1/2), x = -2, 0 < y, (y+2)^(1/2) < z], [regular_chain, [[-1/2
, -1/2], [-146543/131072, -1172343/1048576], [-2, -2], [1, 1], [3, 3]]]], [[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 < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [243021/1048576,
243021/1048576], [2826215/1048576, 353277/131072], [-3, -3]]]], [[5, 11, 7, 8,
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], [
2826215/1048576, 353277/131072], [-3291611/2097152, -1645805/1048576]]]], [[5,
11, 7, 8, 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], [2826215/1048576, 353277/131072], [0, 0]]]
], [[5, 11, 7, 8, 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], [2826215/1048576, 353277/131072], [1645805/1048576, 822903/
524288]]]], [[5, 11, 7, 8, 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], [2826215/1048576, 353277/131072], [3, 3]]]], [[5, 13
, 4, 7, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < u^2-v
^2), z < -(y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-1, -1], [35/8
, 35/8], [-4, -4]]]], [[5, 13, 4, 7, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u
, x = -1, And(0 < y,y < u^2-v^2), z = -(y+1)^(1/2)], [regular_chain, [[-1/2, -\
1/2], [3, 3], [-1, -1], [35/8, 35/8], [-151939/65536, -2431023/1048576]]]], [[
5, 13, 4, 7, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -1, And(0 < y,y <
u^2-v^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1/2, -1/2
], [3, 3], [-1, -1], [35/8, 35/8], [0, 0]]]], [[5, 13, 4, 7, 4], [And(-1 < v,v
< 0), (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < u^2-v^2), z = (y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3, 3], [-1, -1], [35/8, 35/8], [2431023/1048576
, 151939/65536]]]], [[5, 13, 4, 7, 5], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u,
x = -1, And(0 < y,y < u^2-v^2), (y+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2
], [3, 3], [-1, -1], [35/8, 35/8], [4, 4]]]], [[6, 5, 6, 3, 1], [v = 0, And(-1
< u,u < 0), x = u^2-1, And(u^2-1 < y,y < 0), z < -(y-u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [-3/4, -3/4], [-3/8, -3/8], [-2, -2]]]],
[[6, 5, 6, 3, 2], [v = 0, And(-1 < u,u < 0), x = u^2-1, And(u^2-1 < y,y < 0),
z = -(y-u^2+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, 3, 3], [v = 0,
And(-1 < u,u < 0), x = u^2-1, And(u^2-1 < y,y < 0), And(-(y-u^2+1)^(1/2) < z,z
< (y-u^2+1)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/4, -3/4], [-3/
8, -3/8], [0, 0]]]], [[6, 5, 6, 3, 4], [v = 0, And(-1 < u,u < 0), x = u^2-1, 
And(u^2-1 < y,y < 0), z = (y-u^2+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,
3, 5], [v = 0, And(-1 < u,u < 0), x = u^2-1, And(u^2-1 < y,y < 0), (y-u^2+1)^(
1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/4, -3/4], [-3/8, -3/8],
[2, 2]]]], [[6, 7, 6, 7, 1], [v = 0, And(0 < u,u < 1), x = u^2-1, 2*u^2 < y, z
< -(y-u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3/4, -3/4], [2, 2]
, [-3, -3]]]], [[6, 7, 6, 7, 2], [v = 0, And(0 < u,u < 1), x = u^2-1, 2*u^2 <
y, z = -(y-u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3/4, -3/4], [
2, 2], [-1738867/1048576, -3477733/2097152]]]], [[6, 7, 6, 7, 3], [v = 0, And(
0 < u,u < 1), x = u^2-1, 2*u^2 < y, And(-(y-u^2+1)^(1/2) < z,z < (y-u^2+1)^(1/
2))], [regular_chain, [[0, 0], [1/2, 1/2], [-3/4, -3/4], [2, 2], [-1/4194304,
-1/4194304]]]], [[6, 7, 6, 7, 4], [v = 0, And(0 < u,u < 1), x = u^2-1, 2*u^2 <
y, z = (y-u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3/4, -3/4], [2
, 2], [869433/524288, 1738867/1048576]]]], [[6, 7, 6, 7, 5], [v = 0, And(0 < u
,u < 1), x = u^2-1, 2*u^2 < y, (y-u^2+1)^(1/2) < z], [regular_chain, [[0, 0],
[1/2, 1/2], [-3/4, -3/4], [2, 2], [3, 3]]]], [[6, 11, 5, 9, 1], [v = 0, 2^(1/2
) < u, And(-1 < x,x < 0), u^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[0,
0], [3, 3], [-1/2, -1/2], [11, 11], [-5, -5]]]], [[6, 11, 5, 9, 2], [v = 0, 2^
(1/2) < u, And(-1 < x,x < 0), u^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain,
[[0, 0], [3, 3], [-1/2, -1/2], [11, 11], [-3555895/1048576, -1777947/524288]]]
], [[6, 11, 5, 9, 3], [v = 0, 2^(1/2) < u, And(-1 < x,x < 0), u^2+x+1 < y, And
(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [3, 3], [-1/2, -\
1/2], [11, 11], [0, 0]]]], [[6, 11, 5, 9, 4], [v = 0, 2^(1/2) < u, And(-1 < x,
x < 0), u^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-1/2,
-1/2], [11, 11], [1777947/524288, 3555895/1048576]]]], [[6, 11, 5, 9, 5], [v =
0, 2^(1/2) < u, And(-1 < x,x < 0), u^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[0, 0], [3, 3], [-1/2, -1/2], [11, 11], [5, 5]]]], [[7, 1, 11,
8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 2, 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, 2
, 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, 2, 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, 8, 6, 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],
[1472733/1048576, 736367/524288], [-3, -3]]]], [[7, 9, 8, 6, 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],
[1472733/1048576, 736367/524288], [-19417/16384, -1242687/1048576]]]], [[7, 9,
8, 6, 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], [1472733/1048576, 736367/
524288], [0, 0]]]], [[7, 9, 8, 6, 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], [1472733/1048576, 736367/
524288], [1242687/1048576, 19417/16384]]]], [[7, 9, 8, 6, 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], [
1472733/1048576, 736367/524288], [3, 3]]]], [[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(x < y,y < u^
2-v^2+x+1), z < -(y-x)^(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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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(x
< y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2-v^2+x+1), z =
(y-x)^(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(x < y,y < u^2-v^2+x+1), (y-x)^(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 = 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, 8, 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, 8, 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, 8, 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, 8, 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, 5, 1], [v = 1, u = -2^(1/2), x = 1, And(1 < y,y < 3), z <
-(y-1)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [1
, 1], [2, 2], [-2, -2]]]], [[8, 4, 8, 5, 2], [v = 1, u = -2^(1/2), x = 1, And(
1 < y,y < 3), z = -(y-1)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -\
741455/524288], [1, 1], [2, 2], [-1, -1]]]], [[8, 4, 8, 5, 3], [v = 1, u = -2^
(1/2), x = 1, And(1 < y,y < 3), 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, 5, 4], [v = 1, u = -2^(1/2), x = 1, And(1 < y,y < 3), z =
(y-1)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [1,
1], [2, 2], [1, 1]]]], [[8, 4, 8, 5, 5], [v = 1, u = -2^(1/2), x = 1, And(1 <
y,y < 3), (y-1)^(1/2) < z], [regular_chain, [[1, 1], [-1482911/1048576, -\
741455/524288], [1, 1], [2, 2], [2, 2]]]], [[8, 6, 7, 6, 1], [v = 1, u = -1, 1
< x, y = x+1, z < -1], [regular_chain, [[1, 1], [-1, -1], [2, 2], [3, 3], [-2,
-2]]]], [[8, 6, 7, 6, 2], [v = 1, u = -1, 1 < x, y = x+1, z = -1], [
regular_chain, [[1, 1], [-1, -1], [2, 2], [3, 3], [-1, -1]]]], [[8, 6, 7, 6, 3
], [v = 1, u = -1, 1 < x, y = x+1, And(-1 < z,z < 1)], [regular_chain, [[1, 1]
, [-1, -1], [2, 2], [3, 3], [0, 0]]]], [[8, 6, 7, 6, 4], [v = 1, u = -1, 1 < x
, y = x+1, z = 1], [regular_chain, [[1, 1], [-1, -1], [2, 2], [3, 3], [1, 1]]]
], [[8, 6, 7, 6, 5], [v = 1, u = -1, 1 < x, y = x+1, 1 < z], [regular_chain, [
[1, 1], [-1, -1], [2, 2], [3, 3], [2, 2]]]], [[8, 11, 3, 4, 1], [v = 1, And(1
< u,u < 2^(1/2)), And(-u^2 < x,x < -1), y = x-u^2+2, z < -(-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1288231/1048576,
-1288231/1048576], [-359483/524288, -1437931/2097152], [-2, -2]]]], [[8, 11, 3
, 4, 2], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), y = x-u^2+2, z
= -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576
], [-1288231/1048576, -1288231/1048576], [-359483/524288, -1437931/2097152], [
-772605/1048576, -1545209/2097152]]]], [[8, 11, 3, 4, 3], [v = 1, And(1 < u,u
< 2^(1/2)), And(-u^2 < x,x < -1), y = x-u^2+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], [-359483/524288, -1437931/2097152], [-1/
4194304, -1/4194304]]]], [[8, 11, 3, 4, 4], [v = 1, And(1 < u,u < 2^(1/2)), 
And(-u^2 < x,x < -1), y = x-u^2+2, z = (-u^2+2)^(1/2)], [regular_chain, [[1, 1
], [1265743/1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576], [
-359483/524288, -1437931/2097152], [193151/262144, 772605/1048576]]]], [[8, 11
, 3, 4, 5], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), y = x-u^2+2,
(-u^2+2)^(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-1288231/1048576, -1288231/1048576], [-359483/524288, -1437931/
2097152], [2, 2]]]], [[8, 13, 2, 5, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)),
x = -u^2, And(-u^2 < y,y < 0), 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, 5, 2], [v = 1, 
And(2^(1/2) < u,u < 3^(1/2)), x = -u^2, And(-u^2 < y,y < 0), 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, 5, 3], [v = 1, And(2^(1/2) < u,u < 3
^(1/2)), x = -u^2, And(-u^2 < y,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], [-2594957/2097152, -2594957/2097152], [0, 0]]]], [[
8, 13, 2, 5, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -u^2, And(-u^2 < y,
y < 0), 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, 5, 5], [v = 1, And(
2^(1/2) < u,u < 3^(1/2)), x = -u^2, And(-u^2 < y,y < 0), (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,
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 = 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], [-3190373/2097152, -797593/524288], [-3, -3]]]], [[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 = 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], [-\
3190373/2097152, -797593/524288], [-3301741/2097152, -825435/524288]]]], [[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 = u^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], [-3190373/2097152, -797593/524288], [0,
0]]]], [[9, 3, 1, 6, 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], [-3190373/2097152, -797593/524288], [825435/
524288, 1650871/1048576]]]], [[9, 3, 1, 6, 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], [-3190373/2097152, -797593/
524288], [3, 3]]]], [[9, 4, 9, 7, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1
/2), 1 < x, x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-410915/262144, -3287319/2097152], [2, 2], [5, 5], [-3, -3]
]]], [[9, 4, 9, 7, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), 1 < x, x+2
< y, z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-410915/262144, -3287319/2097152], [2, 2], [5, 5], [-1816187/1048576, -3632373
/2097152]]]], [[9, 4, 9, 7, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), 1
< x, x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [2, 2],
[5, 5], [-1/4194304, -1/4194304]]]], [[9, 4, 9, 7, 4], [And(1 < v,v < 2^(1/2))
, u = -(v^2+1)^(1/2), 1 < x, x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [2, 2],
[5, 5], [908093/524288, 1816187/1048576]]]], [[9, 4, 9, 7, 5], [And(1 < v,v <
2^(1/2)), u = -(v^2+1)^(1/2), 1 < x, x+2 < y, (y-x)^(1/2) < z], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [2,
2], [5, 5], [3, 3]]]], [[9, 11, 11, 5, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1
)^(1/2) < u,u < v), 1 < x, And(x < y,y < u^2-v^2+x+1), z < -(y-x)^(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(x <
y,y < u^2-v^2+x+1), z = -(y-x)^(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(x < y,y < u^2
-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2-v^2+x+1), z = (y-x
)^(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(x < y,y < u^2-v^2+x+1), (y-x)^(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(-4 < y,y < -3), z = z], [regular_chain, [[741455/524288,
1482911/1048576], [-2, -2], [-3, -3], [-7/2, -7/2], [0, 0]]]], [[10, 3, 10, 8,
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], [3651195/1048576, 912799/262144], [-3, -3]]]], [[10,
3, 10, 8, 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], [3651195/1048576, 912799/262144], [-825991
/524288, -3303963/2097152]]]], [[10, 3, 10, 8, 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], [3651195/1048576, 912799/262144], [-1/4194304, -1/4194304]]]
], [[10, 3, 10, 8, 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], [3651195/1048576, 912799/262144],
[1651981/1048576, 825991/524288]]]], [[10, 3, 10, 8, 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],
[3651195/1048576, 912799/262144], [3, 3]]]], [[10, 8, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4,
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,
10, 1, 5, 1], [v = 2^(1/2), u = 0, x < -3, And(x < y,y < x+3), z < -(y-x)^(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 <
y,y < x+3), z = -(y-x)^(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 < y,y < x+3), And(-(
y-x)^(1/2) < z,z < (y-x)^(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 < y,y < x+3), z = (y-x)^(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 < y,y < x+3), (y-x)^(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 = 0, z < 0], [regular_chain, [[
741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [0, 0], [
0, 0], [-1, -1]]]], [[10, 15, 8, 2, 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, 2,
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, 5, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2)
, And(0 < x,x < u^2-3), And(0 < y,y < x), 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-1, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [2, 2], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]],
[[11, 1, 4, 5, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = -1, And(-1 < y,y < 0)
, z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2)
< z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = 0, z = z], [regular_chain, [[3, 3],
[-3, -3], [2, 2], [0, 0], [0, 0]]]], [[11, 8, 8, 3, 1], [2^(1/2) < v, u = -(v^
2-1)^(1/2), x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [1, 1], [1/2, 1/2], [0, 0]]]], [[11, 12,
5, 3, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-1 < x,x < 0), And(x-1 < y,y <
x), z = z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1/2, -1/
2], [-1, -1], [0, 0]]]], [[11, 14, 3, 3, 1], [2^(1/2) < v, u = (v^2-1)^(1/2),
And(-2 < x,x < -1), And(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[3,
3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [-3/4, -3/4], [-2, -2]]]],
[[11, 14, 3, 3, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-2 < x,x < -1), And(x
< y,y < 0), z = -(y-x)^(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, 3, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-2 < x,x
< -1), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [2^(1/2) < v, u = (v^2
-1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [2^(1/2) < v, u
= (v^2-1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [-3/4,
-3/4], [2, 2]]]], [[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-u^2+v^2+1 < y,y < x), 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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [1,
1], [18, 18], [-6, -6]]]], [[11, 21, 8, 8, 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, 8,
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, 8, 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, 8, 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, 6, 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, 6, 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,
6, 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, 6, 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, 6, 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, 5, 1], [v < -2^(1/2),
And(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(x < y,y < x-u^2+v^2+1), z < -(y-x)^(
1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [2, 2], [
590687/262144, 590687/262144], [-2, -2]]]], [[1, 5, 11, 5, 2], [v < -2^(1/2),
And(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(x < y,y < x-u^2+v^2+1), z = -(y-x)^(
1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [2, 2], [
590687/262144, 590687/262144], [-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(x < y,y <
x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3
], [-403851/131072, -403851/131072], [2, 2], [590687/262144, 590687/262144], [
-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(x < y,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [2, 2], [590687/
262144, 590687/262144], [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(x < y,y < x-u^2+v^2+1)
, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072
], [2, 2], [590687/262144, 590687/262144], [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 = x,
z < 0], [regular_chain, [[-3, -3], [0, 0], [1/2, 1/2], [1/2, 1/2], [-1, -1]]]]
, [[1, 11, 7, 6, 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, 6, 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, 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 < 0), z < -
(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(
y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z
= (y+1)^(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(-1 < y,y < 0
), (y+1)^(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(0 < y,y < x-u^2+v
^2+1), z < -(y-x)^(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(0 < y,y < x-u^2+v^2+1), z = -(y-x)^(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(0 < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z <
(y-x)^(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(0 < y,y < x-u^2+v^2+1), z = (y-x)^(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(0 < y,y < x-u^2+v^2+1), (y-x)^(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 = z], [regular_chain,
[[-3, -3], [3396811/1048576, 3396811/1048576], [0, 0], [-518045/1048576, -\
129511/262144], [0, 0]]]], [[2, 3, 5, 7, 1], [v = -2^(1/2), And(-2 < u,u < -3^
(1/2)), And(-1 < x,x < 0), And(0 < y,y < u^2+x-1), z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-1/2, -1/2], [2078331/2097152, 2078331/2097152], [-3, -3]]]
], [[2, 3, 5, 7, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0
), And(0 < y,y < u^2+x-1), z = -(y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2],
[2078331/2097152, 2078331/2097152], [-1280391/1048576, -640195/524288]]]], [[2
, 3, 5, 7, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), And
(0 < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [
[-1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-1/
2, -1/2], [2078331/2097152, 2078331/2097152], [0, 0]]]], [[2, 3, 5, 7, 4], [v
= -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), And(0 < y,y < u^2+x-1
), z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [-1/2, -1/2], [2078331/2097152, 2078331/
2097152], [640195/524288, 1280391/1048576]]]], [[2, 3, 5, 7, 5], [v = -2^(1/2)
, And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), And(0 < y,y < u^2+x-1), (y-x)^(
1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [-1/2, -1/2], [2078331/2097152, 2078331/2097152],
[3, 3]]]], [[2, 5, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 2, 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, 6, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 8, 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], [2666417/1048576, 1333209/524288], [-3, -3]]]], [[2, 13, 10,
8, 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], [2666417/1048576, 1333209/524288], [-1302471/1048576
, -651235/524288]]]], [[2, 13, 10, 8, 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
], [2666417/1048576, 1333209/524288], [0, 0]]]], [[2, 13, 10, 8, 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], [2666417/1048576, 1333209/524288], [651235/524288, 1302471/
1048576]]]], [[2, 13, 10, 8, 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], [2666417/1048576, 1333209
/524288], [3, 3]]]], [[2, 15, 11, 3, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)
), 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [2, 2], [1, 1], [0, 0]]]],
[[2, 19, 10, 5, 1], [v = -2^(1/2), 2 < u, x = u^2-3, And(u^2-3 < y,y < 2*u^2-4
), z < -(y-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[3, 3], [6, 6], [10, 10], [-3, -3]]]], [[2, 19, 10, 5, 2], [v = -2^(1/2), 2 <
u, x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), z = -(y-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [6, 6], [10, 10],
[-2, -2]]]], [[2, 19, 10, 5, 3], [v = -2^(1/2), 2 < u, x = u^2-3, And(u^2-3 <
y,y < 2*u^2-4), And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+3)^(1/2))], [regular_chain
, [[-1482911/1048576, -741455/524288], [3, 3], [6, 6], [10, 10], [0, 0]]]], [[
2, 19, 10, 5, 4], [v = -2^(1/2), 2 < u, x = u^2-3, And(u^2-3 < y,y < 2*u^2-4),
z = (y-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3,
3], [6, 6], [10, 10], [2, 2]]]], [[2, 19, 10, 5, 5], [v = -2^(1/2), 2 < u, x =
u^2-3, And(u^2-3 < y,y < 2*u^2-4), (y-u^2+3)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [6, 6], [10, 10], [3, 3]]]], [[3, 2,
5, 4, 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
, 4, 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,
4, 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,
5, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -2, And(x+2 < y,y <
0), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-1417877/2097152, -354469/524288], [-3, -3], [-1/2, -1/2], [-3, -3]]]], [[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 < 0), z = -(y-x)^(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, 5, 3], [And(-2^(1/2) < v,v < -\
1), u = -(v^2-1)^(1/2), x < -2, And(x+2 < y,y < 0), And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877
/2097152, -354469/524288], [-3, -3], [-1/2, -1/2], [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 < 0), z
= (y-x)^(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, 5, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)
^(1/2), x < -2, And(x+2 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-3, -\
3], [-1/2, -1/2], [3, 3]]]], [[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 = u^2-v^2+x+1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [2, 2], [1617841
/1048576, 808921/524288], [0, 0]]]], [[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(-2*u^2+2*v^2 < y,y < -u^2+v^2-1),
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-\
4478937/524288, -8957873/1048576], [-6194117/524288, -6194117/524288], [0, 0]]
]], [[4, 1, 8, 2, 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, 5,
1], [v = -1, And(-1 < u,u < 0), x = -1, And(u^2-1 < y,y < 0), z < -(y+1)^(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(u^2-1 < y,y < 0),
z = -(y+1)^(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(u^2-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(u^2-1 < y,y < 0),
z = (y+1)^(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(u^2-1 < y,y < 0), (y+1)^(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 = 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,
4, 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, 4, 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, 4, 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, 4, 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, 9, 1], [v = -\
1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), u^2+x < y, z < -(y-x)^(1/2
)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2
], [3, 3], [-3, -3]]]], [[4, 13, 5, 9, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2
)), And(-1 < x,x < 0), u^2+x < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1]
, [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [3, 3], [-7846825/4194304,
-980853/524288]]]], [[4, 13, 5, 9, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)),
And(-1 < x,x < 0), u^2+x < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [3
, 3], [0, 0]]]], [[4, 13, 5, 9, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And
(-1 < x,x < 0), u^2+x < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-1/2, -1/2], [3, 3], [980853/524288, 
1961707/1048576]]]], [[4, 13, 5, 9, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)),
And(-1 < x,x < 0), u^2+x < y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-1/2, -1/2], [3, 3], [3, 3]]]], [[4, 15, 3
, 1, 1], [v = -1, 3^(1/2) < u, And(-u^2 < x,x < -1), y < x-u^2+2, z = z], [
regular_chain, [[-1, -1], [3, 3], [-5, -5], [-13, -13], [0, 0]]]], [[5, 5, 4,
6, 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, 6, 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,
6, 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, 6, 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, 6, 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, 1, 1], [And(-1 < v,v < 0), And(v < u,u
< -v), And(-1 < x,x < -u^2+v^2-1), y < x, z = z], [regular_chain, [[-1/2, -1/2
], [0, 0], [-7/8, -7/8], [-2, -2], [0, 0]]]], [[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 < 0, z =
z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [1/2, 1/2
], [-1, -1], [0, 0]]]], [[6, 2, 7, 3, 1], [v = 0, u = -2^(1/2), And(0 < x,x <
1), And(x-1 < 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, 1, 1], [v = 0,
u = -1, And(-1 < x,x < 0), y < x, z = z], [regular_chain, [[0, 0], [-1, -1], [
-1/2, -1/2], [-2, -2], [0, 0]]]], [[6, 8, 8, 5, 1], [v = 0, u = 1, x = 1, And(
1 < y,y < 3), z < -(y-1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [1, 1], [2,
2], [-2, -2]]]], [[6, 8, 8, 5, 2], [v = 0, u = 1, x = 1, And(1 < y,y < 3), z =
-(y-1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [1, 1], [2, 2], [-1, -1]]]], [
[6, 8, 8, 5, 3], [v = 0, u = 1, x = 1, And(1 < y,y < 3), 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, 5, 4], [v = 0, u = 1, x = 1, And(1 < y,y < 3), z = (y-1)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [1, 1], [2, 2], [1, 1]]]], [[6, 8, 8, 5, 5], [
v = 0, u = 1, x = 1, And(1 < y,y < 3), (y-1)^(1/2) < z], [regular_chain, [[0,
0], [1, 1], [1, 1], [2, 2], [2, 2]]]], [[6, 10, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 5, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = 0, 2 < y, z < -y^(1/2)
], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [0, 0], [3
, 3], [-3, -3]]]], [[7, 4, 6, 5, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x
= 0, 2 < y, 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, 5, 3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = 0, 2 < y, 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, 5, 4], [And(
0 < v,v < 1), u = -(v^2+1)^(1/2), x = 0, 2 < y, 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, 5, 5], [And(0 < v,v < 1), u = -(v^2+1)
^(1/2), x = 0, 2 < y, y^(1/2) < z], [regular_chain, [[1/2, 1/2], [-146543/
131072, -1172343/1048576], [0, 0], [3, 3], [3, 3]]]], [[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(x < y,y < u^2-v^2+x+1)
, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [1/2, 1/2], [43/8, 
43/8], [-4, -4]]]], [[7, 13, 7, 7, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, 
And(0 < x,x < 1), And(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 7, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) <
u, And(0 < x,x < 1), And(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x
)^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3], [1/2, 1/2], [43/8, 43/8], [0,
0]]]], [[7, 13, 7, 7, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(0 < x,x <
1), And(x < y,y < u^2-v^2+x+1), z = (y-x)^(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, 7, 5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(x <
y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3, 3], [1/
2, 1/2], [43/8, 43/8], [4, 4]]]], [[8, 2, 3, 1, 1], [v = 1, u = -3^(1/2), And(
-3 < x,x < -1), y < x-1, z = z], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [-2, -2], [-4, -4], [0, 0]]]], [[8, 7, 9, 7, 1], [v = 1, And
(-1 < u,u < 0), And(0 < x,x < 1), And(u^2+x < y,y < x-u^2+2), z < -(y-x)^(1/2)
], [regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]],
[[8, 7, 9, 7, 2], [v = 1, And(-1 < u,u < 0), And(0 < x,x < 1), And(u^2+x < y,y
< x-u^2+2), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/
2], [3/2, 3/2], [-1, -1]]]], [[8, 7, 9, 7, 3], [v = 1, And(-1 < u,u < 0), And(
0 < x,x < 1), And(u^2+x < y,y < x-u^2+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2)
)], [regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2], [3/2, 3/2], [0, 0]]]],
[[8, 7, 9, 7, 4], [v = 1, And(-1 < u,u < 0), And(0 < x,x < 1), And(u^2+x < y,y
< x-u^2+2), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2
], [3/2, 3/2], [1, 1]]]], [[8, 7, 9, 7, 5], [v = 1, And(-1 < u,u < 0), And(0 <
x,x < 1), And(u^2+x < y,y < x-u^2+2), (y-x)^(1/2) < z], [regular_chain, [[1, 1
], [-1/2, -1/2], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[8, 9, 9, 1, 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], [-1, -1], [0, 0]]]], [[8, 13, 11, 4, 1], [v = 1, And(2^(
1/2) < u,u < 3^(1/2)), 1 < x, y = x-u^2+2, z = z], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [2, 2], [799673/524288, 1599347/1048576], [
0, 0]]]], [[8, 15, 8, 7, 1], [v = 1, 3^(1/2) < u, x = 1, And(1 < y,y < u^2+1),
z < -(y-1)^(1/2)], [regular_chain, [[1, 1], [3, 3], [1, 1], [11/2, 11/2], [-4,
-4]]]], [[8, 15, 8, 7, 2], [v = 1, 3^(1/2) < u, x = 1, And(1 < y,y < u^2+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, 7, 3], [v = 1, 3^(1/2) < u,
x = 1, And(1 < y,y < u^2+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, 7
, 4], [v = 1, 3^(1/2) < u, x = 1, And(1 < y,y < u^2+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, 7, 5], [v = 1, 3^(1/2) < u, x = 1, And(1 < y,y
< u^2+1), (y-1)^(1/2) < z], [regular_chain, [[1, 1], [3, 3], [1, 1], [11/2, 11
/2], [4, 4]]]], [[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 = 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], [515775/262144, 2063101/1048576], [-3, -3]]]], [
[9, 5, 9, 8, 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], [515775/262144, 2063101/1048576], [-1270261/1048576, -317565/262144]]]],
[[9, 5, 9, 8, 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], [515775/262144, 2063101/1048576], [0, 0]]]], [[
9, 5, 9, 8, 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],
[515775/262144, 2063101/1048576], [317565/262144, 1270261/1048576]]]], [[9, 5,
9, 8, 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], [
515775/262144, 2063101/1048576], [3, 3]]]], [[9, 7, 10, 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+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,
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+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, 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+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, 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+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, 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+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, 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 < 0), z
< -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y <
0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(
x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = 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, 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 = 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
, 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 = 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, 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 = 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, 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 = 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, 7
, 3, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(x-1
< 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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,
6, 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, 6, 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, 4,
5, 1], [v = 2^(1/2), And(-v < u,u < -1), x = -1, And(u^2-2 < y,y < 0), z < -(y
+1)^(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(u^2-2
< y,y < 0), z = -(y+1)^(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(u^2-2 < y,y < 0), And(-(y+1)^(1/2
) < z,z < (y+1)^(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(u^2-2 < y,y < 0), z = (y+1)^(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(u^2-2 < y,y < 0
), (y+1)^(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, 2 < y, z
< -y^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [0, 0]
, [3, 3], [-3, -3]]]], [[10, 12, 6, 5, 2], [v = 2^(1/2), u = 1, x = 0, 2 < y,
z = -y^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [0,
0], [3, 3], [-1816187/1048576, -3632373/2097152]]]], [[10, 12, 6, 5, 3], [v =
2^(1/2), u = 1, x = 0, 2 < y, 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, 5, 4], [v = 2^(1/2), u = 1, x = 0, 2 < y, z = y^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [0, 0], [3, 3],
[908093/524288, 1816187/1048576]]]], [[10, 12, 6, 5, 5], [v = 2^(1/2), u = 1,
x = 0, 2 < y, y^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[1, 1], [0, 0], [3, 3], [3, 3]]]], [[10, 14, 6, 1, 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], [-1, -1], [0, 0]]]], [[11, 2, 2, 2, 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,
10, 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+2), z < -(y-1)^(1/2)], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [1, 1], [1178087/524288, 1178087/524288],
[-3, -3]]]], [[11, 3, 10, 7, 2], [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 = -(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,
7, 3], [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), 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, 7, 4], [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 = (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, 7,
5], [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), (y-1)^(1/2) < z], [regular_chain, [[3, 3], [-3396811/1048576,
-3396811/1048576], [1, 1], [1178087/524288, 1178087/524288], [3, 3]]]], [[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], [533035/1048576, 133259/
262144], [-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
], [533035/1048576, 133259/262144], [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], [533035/1048576, 133259/262144], [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(0 < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain,
[[3, 3], [0, 0], [-1/2, -1/2], [19/4, 19/4], [-4, -4]]]], [[11, 11, 5, 7, 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-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [0, 0]
, [-1/2, -1/2], [19/4, 19/4], [-1201295/524288, -2402589/1048576]]]], [[11, 11
, 5, 7, 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-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[3, 3], [0, 0], [-1/2, -1/2], [19/4, 19/4], [0, 0]]]], [[11,
11, 5, 7, 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-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[3,
3], [0, 0], [-1/2, -1/2], [19/4, 19/4], [2402589/1048576, 1201295/524288]]]],
[[11, 11, 5, 7, 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-u^2+v^2+1), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [0, 0], [-1/2, -1/2], [19/4, 19/4], [4, 4]]]], [[11, 
15, 4, 5, 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 < -(y+1)^(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(u^2-
v^2 < y,y < 0), z = -(y+1)^(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(u^2-v^2 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1
)^(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(u^2-v^2 < y,y
< 0), z = (y+1)^(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(u^2-v^2 < y,y < 0), (y+1)^(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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1579769/2097152, -\
1579769/2097152], [-64673/262144, -258691/1048576], [-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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [-64673/262144,
-258691/1048576], [-373161/524288, -1492643/2097152]]]], [[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 = x-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], [-1579769/2097152, -1579769/2097152],
[-64673/262144, -258691/1048576], [-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 =
x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072,
403851/131072], [-1579769/2097152, -1579769/2097152], [-64673/262144, -258691/
1048576], [746321/1048576, 373161/524288]]]], [[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 = x-u^2+v^2+1, (-
u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/131072]
, [-1579769/2097152, -1579769/2097152], [-64673/262144, -258691/1048576], [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 = z], [regular_chain, [[-3, -3], [-5, -5], [0, 0], [-15/2, -\
15/2], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[
-3, -3], [-3396811/1048576, -3396811/1048576], [-915943/524288, -915943/524288
], [-915943/524288, -915943/524288], [-1, -1]]]], [[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
= x, z = 0], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576],
[-915943/524288, -915943/524288], [-915943/524288, -915943/524288], [0, 0]]]],
[[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 = x, 0 < z], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [-915943/524288, -915943/524288], [-915943
/524288, -915943/524288], [1, 1]]]], [[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(x < y,y < x-u^2+v^2+1),
z < -(y-x)^(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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(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(x <
y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < x-u^2+v^2+1), z = (y
-x)^(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(x < y,y < x-u^2+v^2+1), (y-x)^(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 = 0, z = z], [regular_chain, [[-3,
-3], [-5548543/2097152, -2774271/1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[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+2), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [-1/2, -1/2], [3/4, 3/4], [-3, -3]]]], [[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+2), z = -(y-x)^(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, 5, 3], [v < -2^
(1/2), u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), And(-(y-x)^(1
/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [-1/2, -1/2], [3/4, 3/4], [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+2), z = (y-x)^(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, 5, 5], [v < -2^(1/2)
, u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), (y-x)^(1/2) < z],
[regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [3/
4, 3/4], [3, 3]]]], [[1, 16, 4, 2, 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, 2, 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, 2, 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, 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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [
15, 15], [32, 32], [-6, -6]]]], [[1, 21, 10, 6, 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, 6, 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, 6, 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, 6, 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, 5,
1], [v = -2^(1/2), u = -2, And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0
), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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(0
< y,y < x), 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 = -1, z < 0], [regular_chain, [[-1482911/1048576
, -741455/524288], [1/2, 1/2], [-1, -1], [-1, -1], [-1, -1]]]], [[2, 11, 4, 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, 4, 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, 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 < 0), 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, 5, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, And(-u^2
+1 < y,y < 0), 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, 5, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, And
(-u^2+1 < y,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], [-2602619/2097152, -2602619/
2097152], [0, 0]]]], [[2, 17, 2, 5, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2),
x = -u^2+1, And(-u^2+1 < y,y < 0), 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, 5, 5], [v = -2^(1/2), And(3^(1/2) < u,u <
2), x = -u^2+1, And(-u^2+1 < y,y < 0), (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, 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 = 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, 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 = 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, 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 = 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, 6, 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, 6, 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, 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 < y,y < 0), z < -(y+1)^(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(-u^2+v^2 < y,y < 0), z = -(y+1)^(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(-u^2+v^2 < y,y < 0), And(-(y+1)^(1/
2) < z,z < (y+1)^(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(-u^2+v^2 < y,y < 0), z = (y+1)
^(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(-u^2+v^2 < y,y < 0), (y+1)^(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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 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(
x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [1454701/1048576, 1454701/1048576], [-2587387/2097152, -\
2587387/2097152], [-4058093/4194304, -4058093/4194304], [-2, -2]]]], [[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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-2587387/2097152, -2587387/2097152], [-4058093/4194304, -\
4058093/4194304], [-1082093/2097152, -270523/524288]]]], [[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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-2587387/2097152, -2587387/2097152], [-4058093/4194304, -\
4058093/4194304], [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(x < y,y < x-u^2+v^
2+1), z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1454701/1048576, 1454701/1048576], [-2587387/2097152, -2587387/2097152], [-\
4058093/4194304, -4058093/4194304], [270523/524288, 541047/1048576]]]], [[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(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-2587387/2097152, -2587387/2097152], [-4058093/4194304, -\
4058093/4194304], [2, 2]]]], [[3, 14, 4, 1, 1], [And(-2^(1/2) < v,v < -1), u =
(v^2+1)^(1/2), x = -1, y < -1, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1643659/1048576, 410915/262144], [-1, -1], [-2, -2], [0, 0]
]]], [[3, 16, 2, 1, 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], [-5, -5], [0, 0]]]], [[4, 4, 1, 6, 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
, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v
= -1, And(-2^(1/2) < u,u < -1), 1 < x, And(x < y,y < x-u^2+2), z < -(y-x)^(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(x < y,y < x-u^2+2), z = -(y-x)^(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(x < y,y < x-u^2+2)
, And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < x-u^2+2), z = (y-x)^(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(x < y,y < x-u^2+2), (y-x)^(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 = 0,
z < 0], [regular_chain, [[-1, -1], [1, 1], [0, 0], [0, 0], [-1, -1]]]], [[4, 
10, 4, 2, 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, 2, 3], [v = -1, u = 1, x = 0, y
= 0, 0 < z], [regular_chain, [[-1, -1], [1, 1], [0, 0], [0, 0], [1, 1]]]], [[4
, 12, 4, 6, 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, 6, 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, 6, 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
, 6, 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, 6, 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, 5, 3, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/
2), And(-1 < x,x < 0), And(x-1 < y,y < x), z = z], [regular_chain, [[-1/2, -1/
2], [-3/2, -3/2], [-1/2, -1/2], [-1, -1], [0, 0]]]], [[5, 4, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 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
< -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144]
, [243021/1048576, 243021/1048576], [4, 4], [-3, -3]]]], [[5, 11, 7, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-v^2+
x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, z =
(y-x)^(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, 9, 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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain
, [[-1/2, -1/2], [343151/262144, 343151/262144], [243021/1048576, 243021/
1048576], [4, 4], [3, 3]]]], [[5, 13, 4, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 6, 2, 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, 2, 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, 2, 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, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 1, 1], [v = 0, 2^(1/2) < u, x = 0,
y < -u^2+1, z = z], [regular_chain, [[0, 0], [3, 3], [0, 0], [-9, -9], [0, 0]]
]], [[7, 1, 11, 9, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, u
^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [9,
9], [20, 20], [-5, -5]]]], [[7, 1, 11, 9, 2], [And(0 < v,v < 1), u < -(v^2+2)^
(1/2), u^2-v^2-1 < x, u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[1/
2, 1/2], [-3, -3], [9, 9], [20, 20], [-1738867/524288, -3477733/1048576]]]], [
[7, 1, 11, 9, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, u^2-v^
2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2]
, [-3, -3], [9, 9], [20, 20], [0, 0]]]], [[7, 1, 11, 9, 4], [And(0 < v,v < 1),
u < -(v^2+2)^(1/2), u^2-v^2-1 < x, u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [9, 9], [20, 20], [3477733/1048576, 
1738867/524288]]]], [[7, 1, 11, 9, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2),
u^2-v^2-1 < x, u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2],
[-3, -3], [9, 9], [20, 20], [5, 5]]]], [[7, 7, 8, 1, 1], [And(0 < v,v < 1), 
And(-v < u,u < v), x = 0, y < 0, z = z], [regular_chain, [[1/2, 1/2], [0, 0],
[0, 0], [-1, -1], [0, 0]]]], [[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 < 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, 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 < 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, 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 < 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, 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 < 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, 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
< 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, 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 = x, z < 0], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-4, -4], [-4, -4]
, [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[1/2, 1/2], [
343151/262144, 343151/262144], [-4, -4], [-4, -4], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144],
[-4, -4], [-4, -4], [1, 1]]]], [[7, 12, 7, 7, 1], [And(0 < v,v < 1), u = (v^2+
2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), z < -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [1/2, 1/2], [2, 2], [-3, -3]]]], [[7,
12, 7, 7, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(x <
y,y < x+3), z = -(y-x)^(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, 7, 3], [And(0
< v,v < 1), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), And(-(y-x
)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [1/2,
1/2], [2, 2], [0, 0]]]], [[7, 12, 7, 7, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/
2), And(0 < x,x < 1), And(x < y,y < x+3), z = (y-x)^(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, 7, 5], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(0 < x,x < 1), 
And(x < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3/2, 3/2],
[1/2, 1/2], [2, 2], [3, 3]]]], [[8, 4, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = 1, u = -1, 1 < x, x
+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [2, 2], [4, 4],
[-3, -3]]]], [[8, 6, 7, 7, 2], [v = 1, u = -1, 1 < x, x+1 < y, z = -(y-x)^(1/2
)], [regular_chain, [[1, 1], [-1, -1], [2, 2], [4, 4], [-1482911/1048576, -\
741455/524288]]]], [[8, 6, 7, 7, 3], [v = 1, u = -1, 1 < x, x+1 < y, And(-(y-x
)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-1, -1], [2, 2], [4,
4], [0, 0]]]], [[8, 6, 7, 7, 4], [v = 1, u = -1, 1 < x, x+1 < y, z = (y-x)^(1/
2)], [regular_chain, [[1, 1], [-1, -1], [2, 2], [4, 4], [741455/524288, 
1482911/1048576]]]], [[8, 6, 7, 7, 5], [v = 1, u = -1, 1 < x, x+1 < y, (y-x)^(
1/2) < z], [regular_chain, [[1, 1], [-1, -1], [2, 2], [4, 4], [3, 3]]]], [[8,
11, 3, 3, 1], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), And(x < y,
y < x-u^2+2), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-1288231/1048576, -1288231/1048576], [-2007197/2097152, -\
2007197/2097152], [-2, -2]]]], [[8, 11, 3, 3, 2], [v = 1, And(1 < u,u < 2^(1/2
)), And(-u^2 < x,x < -1), And(x < y,y < x-u^2+2), z = -(y-x)^(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, 3, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(-u
^2 < x,x < -1), And(x < y,y < x-u^2+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 <
x,x < -1), And(x < y,y < x-u^2+2), z = (y-x)^(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, 3, 5], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), And(x < y,
y < x-u^2+2), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-1288231/1048576, -1288231/1048576], [-2007197/2097152, -\
2007197/2097152], [2, 2]]]], [[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], [-1297479/524288, -\
2594957/1048576], [-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], [-1297479/
524288, -2594957/1048576], [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], [-1297479/
524288, -2594957/1048576], [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(u^2-v^2+x+1
< y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-4, -4], [-797593/1048576,
-797593/1048576], [-3, -3]]]], [[9, 3, 1, 7, 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
< 0), z = -(y-x)^(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, 7, 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 < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [-797593/1048576, -797593/1048576], [0, 0]]]], [[
9, 3, 1, 7, 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 < 0), z = (y-x)^(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, 7, 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 < 0
), (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-4, -4], [-797593/1048576, -797593/
1048576], [3, 3]]]], [[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 < x, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [-4
, -4], [0, 0]]]], [[9, 11, 11, 4, 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, 4, 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, 4, 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, 3, 1], [And(1 < v,v < 2^(1/2)
), u = (v^2+1)^(1/2), x < -2, And(x < y,y < x+2), z < -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-3, -3], [-2, -2], [-2, -2]]]], [[9, 14, 1, 3, 2], [And(1 < v,v < 2^
(1/2)), u = (v^2+1)^(1/2), x < -2, And(x < y,y < x+2), z = -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-3, -3], [-2, -2], [-1, -1]]]], [[9, 14, 1, 3, 3], [And(1 < v,v < 2^
(1/2)), u = (v^2+1)^(1/2), x < -2, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659
/1048576, 410915/262144], [-3, -3], [-2, -2], [0, 0]]]], [[9, 14, 1, 3, 4], [
And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x < -2, And(x < y,y < x+2), z = (y-
x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/
1048576, 410915/262144], [-3, -3], [-2, -2], [1, 1]]]], [[9, 14, 1, 3, 5], [
And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x < -2, And(x < y,y < x+2), (y-x)^(
1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/
1048576, 410915/262144], [-3, -3], [-2, -2], [2, 2]]]], [[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, u^2 < y, z < -(y-1)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [1, 1], [5, 5], [-3, -3]]]], [[10, 3, 10, 9, 2], [v = 2^(1/2
), And(-2 < u,u < -3^(1/2)), x = 1, u^2 < y, z = -(y-1)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [1,
1], [5, 5], [-2, -2]]]], [[10, 3, 10, 9, 3], [v = 2^(1/2), And(-2 < u,u < -3^(
1/2)), x = 1, u^2 < y, 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, 9, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2
)), x = 1, u^2 < y, z = (y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [-3913339/2097152, -3913339/2097152], [1, 1], [5, 5], [2, 2]]]], [[
10, 3, 10, 9, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, u^2 < y, (y-1
)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [1, 1], [5, 5], [3, 3]]]], [[10, 8, 2, 3, 1], [v =
2^(1/2), u = -1, x = -2, And(-2 < y,y < 0), z < -(y+2)^(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(-2 < y,y < 0), z = -(y+2)
^(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(
-2 < y,y < 0), And(-(y+2)^(1/2) < z,z < (y+2)^(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(-2 < y,y < 0), z = (y+2)^(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(-2 < y,
y < 0), (y+2)^(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, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [
0, 0], [-4, -4], [-4, -4], [-1, -1]]]], [[10, 10, 1, 4, 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, 4, 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, 8, 3, 1], [v = 2^(1/2), And(v < u
,u < 3^(1/2)), x = 0, And(0 < y,y < -u^2+3), 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, 3, 2], [v = 2^(1/2)
, And(v < u,u < 3^(1/2)), x = 0, And(0 < y,y < -u^2+3), 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, 3, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 0,
And(0 < 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], [
275385/1048576, 275385/1048576], [-1/4194304, -1/4194304]]]], [[10, 15, 8, 3,
4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 0, And(0 < y,y < -u^2+3), 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, 3, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x
= 0, And(0 < y,y < -u^2+3), 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, 6, 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], [252733/1048576, 126367/524288], [-1, -1]]]], [[10, 17, 7, 6, 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], [252733/1048576, 126367/524288], [
0, 0]]]], [[10, 17, 7, 6, 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], [252733/
1048576, 126367/524288], [1, 1]]]], [[10, 18, 7, 3, 1], [v = 2^(1/2), u = 2, 
And(0 < x,x < 1), And(x-1 < 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, 6,
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, 6, 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, 6, 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, 6, 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, 6, 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, 1, 1], [2^(1/2) < v, u = -v, 1 < x, y < 0, z = z], [regular_chain,
[[3, 3], [-3, -3], [2, 2], [-1, -1], [0, 0]]]], [[11, 8, 8, 2, 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, 5, 4
, 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, 4, 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, 4, 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, 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-u^2+v^2+1, z = z], [regular_chain, [[3, 3], [3396811/
1048576, 3396811/1048576], [2, 2], [1579107/1048576, 394777/262144], [0, 0]]]]
, [[11, 21, 8, 7, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 1, And(1 < y,y < u^
2-v^2+2), z < -(y-1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [1, 1], [19/2, 
19/2], [-4, -4]]]], [[11, 21, 8, 7, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 1
, And(1 < y,y < u^2-v^2+2), z = -(y-1)^(1/2)], [regular_chain, [[3, 3], [5, 5]
, [1, 1], [19/2, 19/2], [-24456785/8388608, -1528549/524288]]]], [[11, 21, 8,
7, 3], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 1, And(1 < y,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], [
19/2, 19/2], [0, 0]]]], [[11, 21, 8, 7, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, x
= 1, And(1 < y,y < u^2-v^2+2), z = (y-1)^(1/2)], [regular_chain, [[3, 3], [5,
5], [1, 1], [19/2, 19/2], [1528549/524288, 3057099/1048576]]]], [[11, 21, 8, 7
, 5], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 1, And(1 < y,y < u^2-v^2+2), (y-1)^
(1/2) < z], [regular_chain, [[3, 3], [5, 5], [1, 1], [19/2, 19/2], [4, 4]]]],
[[1, 4, 1, 5, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), x < -2, And(x+2 < y,y < 0
), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/
65536], [-3, -3], [-1/2, -1/2], [-3, -3]]]], [[1, 4, 1, 5, 2], [v < -2^(1/2),
u = -(v^2+1)^(1/2), x < -2, And(x+2 < y,y < 0), z = -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-3, -3], [-1/2,
-1/2], [-3315889/2097152, -207243/131072]]]], [[1, 4, 1, 5, 3], [v < -2^(1/2),
u = -(v^2+1)^(1/2), x < -2, And(x+2 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-3, -\
3], [-1/2, -1/2], [0, 0]]]], [[1, 4, 1, 5, 4], [v < -2^(1/2), u = -(v^2+1)^(1/
2), x < -2, And(x+2 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [
-3315889/1048576, -207243/65536], [-3, -3], [-1/2, -1/2], [207243/131072, 
1657945/1048576]]]], [[1, 4, 1, 5, 5], [v < -2^(1/2), u = -(v^2+1)^(1/2), x <
-2, And(x+2 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-3315889
/1048576, -207243/65536], [-3, -3], [-1/2, -1/2], [3, 3]]]], [[1, 5, 11, 4, 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, 4, 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, 4, 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, 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(x < y
,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [1/2,
1/2], [11/2, 11/2], [-4, -4]]]], [[1, 11, 7, 7, 2], [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 < x-u^2+v^2+1),
z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [1/2, 1/2], [11/2, 11/2]
, [-146543/65536, -2344687/1048576]]]], [[1, 11, 7, 7, 3], [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 < x-u^2+v
^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [0,
0], [1/2, 1/2], [11/2, 11/2], [0, 0]]]], [[1, 11, 7, 7, 4], [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 < x-u^2+
v^2+1), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [1/2, 1/2], [11/2
, 11/2], [2344687/1048576, 146543/65536]]]], [[1, 11, 7, 7, 5], [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 < x-u
^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [0, 0], [1/2, 1/2], [
11/2, 11/2], [4, 4]]]], [[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 = 0, z < -1], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [-1, -1], [0, 0], [-2, -2]]]], [[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 = 0, z
= -1], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1, -1],
[0, 0], [-1, -1]]]], [[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 = 0, And(-1 < z,z < 1)], [regular_chain, [[-3, -3]
, [1435023/524288, 1435023/524288], [-1, -1], [0, 0], [0, 0]]]], [[1, 13, 4, 6
, 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, 6, 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, 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 = 0, z <
-(-x)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-\
1062385/4194304, -1062385/4194304], [0, 0], [-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 = 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, 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 = 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, 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 = 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, 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 = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-1062385/4194304, -1062385/4194304], [0, 0], [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 = z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576]
, [0, 0], [-2, -2], [0, 0]]]], [[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-1, z < -(u^2-1)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [
-1/2, -1/2], [2078331/1048576, 519583/262144], [-3, -3]]]], [[2, 3, 5, 8, 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], [2078331/1048576, 519583/262144], [
-825991/524288, -3303963/2097152]]]], [[2, 3, 5, 8, 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], [2078331/1048576, 519583/
262144], [-1/4194304, -1/4194304]]]], [[2, 3, 5, 8, 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], [2078331/1048576, 519583/262144], [1651981/
1048576, 825991/524288]]]], [[2, 3, 5, 8, 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], [2078331/1048576, 519583/262144], [3, 3]]]], [[2, 5, 4, 7, 1], [v =
-2^(1/2), And(-3^(1/2) < u,u < v), x = -1, And(0 < y,y < u^2-2), z < -(y+1)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304,
-6598195/4194304], [-1, -1], [248903/1048576, 248903/1048576], [-3, -3]]]], [[
2, 5, 4, 7, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -1, And(0 < y,y <
u^2-2), z = -(y+1)^(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, 7, 3], [v = -2^(1/
2), And(-3^(1/2) < u,u < v), x = -1, And(0 < y,y < u^2-2), And(-(y+1)^(1/2) <
z,z < (y+1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-1, -1], [248903/1048576, 248903/1048576]
, [0, 0]]]], [[2, 5, 4, 7, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -1,
And(0 < y,y < u^2-2), z = (y+1)^(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, 7, 5
], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -1, And(0 < y,y < u^2-2), (y+1)
^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-1, -1], [248903/1048576, 248903/1048576], [3, 3]
]]], [[2, 6, 6, 1, 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], [-1, -1], [0, 0]]]], [[2, 8, 6, 3, 1], [v = -2^(1/2), u = -1
, x = 0, And(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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
(0 < y,y < 2), 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(0 < y,y < 2), 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, -u^2+4 < y, z < -(y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [1, 1], [4, 4], [-3, -3]]]], [[2, 13, 10, 9, 2], [v = -2^(1/2), And(
1 < u,u < -v), x = 1, -u^2+4 < y, 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, 9, 3], [v = -2^(
1/2), And(1 < u,u < -v), x = 1, -u^2+4 < y, 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, 9,
4], [v = -2^(1/2), And(1 < u,u < -v), x = 1, -u^2+4 < y, 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, 9,
5], [v = -2^(1/2), And(1 < u,u < -v), x = 1, -u^2+4 < y, (y-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [1, 1], [4, 4], [3, 3]]]], [[2, 15, 11, 4, 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, 4, 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, 4, 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, 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-1 < y,y < x), z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1/
2, -1/2], [-1, -1], [0, 0]]]], [[3, 8, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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(u
^2-v^2+x+1 < y,y < x), z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [2, 2], [1857497/1048576, 1857497/1048576], [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], [-4478937/524288, -8957873/1048576
], [-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], [-4478937/
524288, -8957873/1048576], [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], [-4478937/524288, -8957873/1048576], [1, 1]]]], [[4, 1, 8, 3, 1], [v
= -1, u < -3^(1/2), x = 1, And(-u^2+3 < y,y < 0), z = z], [regular_chain, [[-1
, -1], [-3, -3], [1, 1], [-3, -3], [0, 0]]]], [[4, 7, 4, 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], [-3/4, -3/4], [-2, -2]]]], [[4, 7, 4, 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], [-3/4, -3/4], [-1/2, -1/2]]]], [[4, 7, 4, 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], [-3/4, -3/4], [0, 0]]]], [[4, 7, 4, 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], [-3/4, -3/4], [1/2, 1/2]]]], [[4, 7, 4, 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], [-3/4, -3/4], [2, 2]]]], [[4, 9, 3, 3, 1], [v = -1, And(0 < u,u < 1)
, And(u^2-2 < x,x < -1), And(x < y,y < u^2+x), z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-11/8, -11/8], [-5/4, -5/4], [-2, -2]]]
], [[4, 9, 3, 3, 2], [v = -1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), And(x <
y,y < u^2+x), z = -(y-x)^(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, 3, 3],
[v = -1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), And(x < y,y < u^2+x), And(-(
y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [-11/
8, -11/8], [-5/4, -5/4], [0, 0]]]], [[4, 9, 3, 3, 4], [v = -1, And(0 < u,u < 1
), And(u^2-2 < x,x < -1), And(x < y,y < u^2+x), z = (y-x)^(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, 3, 5], [v = -1, And(0 < u,u < 1), And(u^
2-2 < x,x < -1), And(x < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[-1,
-1], [1/2, 1/2], [-11/8, -11/8], [-5/4, -5/4], [2, 2]]]], [[4, 13, 6, 1, 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], [-2, -2]
, [0, 0]]]], [[4, 15, 3, 2, 1], [v = -1, 3^(1/2) < u, And(-u^2 < x,x < -1), y
= x-u^2+2, z = z], [regular_chain, [[-1, -1], [3, 3], [-5, -5], [-12, -12], [0
, 0]]]], [[5, 5, 4, 5, 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 < -(y+1)^(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(-u^2+v^2 < y,y < 0), z = -(y+1)^(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(-u^2+v^2 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-u^2+v^2 <
y,y < 0), z = (y+1)^(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(-u^2+v^2 < y,y < 0), (y+1)^(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, -u^2+v^2 < y, z < -(y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [2, 2], [-3, -3]]]], [[5, 7, 4
, 9, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x = -1, -u^2+v^2 < y, z = -(y+
1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [2, 2], [-1816187/
1048576, -3632373/2097152]]]], [[5, 7, 4, 9, 3], [And(-1 < v,v < 0), And(v < u
,u < -v), x = -1, -u^2+v^2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [2, 2], [-1/4194304, -1/
4194304]]]], [[5, 7, 4, 9, 4], [And(-1 < v,v < 0), And(v < u,u < -v), x = -1,
-u^2+v^2 < y, z = (y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1
], [2, 2], [908093/524288, 1816187/1048576]]]], [[5, 7, 4, 9, 5], [And(-1 < v,
v < 0), And(v < u,u < -v), x = -1, -u^2+v^2 < y, (y+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [2, 2], [3, 3]]]], [[5, 8, 6,
5, 1], [And(-1 < v,v < 0), u = -v, x = 1, And(1 < y,y < 2), 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, 5, 2], [And(-1 < v,v < 0), u = -v, x = 1, And(1 < y,y < 2), 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, 5, 3], [And(-1 < v,v < 0), u
= -v, x = 1, And(1 < y,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], [3/2, 3/2], [0, 0]]]], [[5,
8, 6, 5, 4], [And(-1 < v,v < 0), u = -v, x = 1, And(1 < y,y < 2), 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, 5, 5], [And(-1 < v,v < 0), u = -v, x = 1,
And(1 < y,y < 2), (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, 2, 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, 2, 7, 2,
1], [v = 0, u = -2^(1/2), And(0 < x,x < 1), y = x-1, z = z], [regular_chain, [
[0, 0], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]
], [[6, 4, 4, 7, 1], [v = 0, u = -1, x = -1, 1 < y, z < -(y+1)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-1, -1], [2, 2], [-3, -3]]]], [[6, 4, 4, 7,
2], [v = 0, u = -1, x = -1, 1 < y, z = -(y+1)^(1/2)], [regular_chain, [[0, 0],
[-1, -1], [-1, -1], [2, 2], [-1816187/1048576, -3632373/2097152]]]], [[6, 4, 4
, 7, 3], [v = 0, u = -1, x = -1, 1 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))]
, [regular_chain, [[0, 0], [-1, -1], [-1, -1], [2, 2], [-1/4194304, -1/4194304
]]]], [[6, 4, 4, 7, 4], [v = 0, u = -1, x = -1, 1 < y, z = (y+1)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-1, -1], [2, 2], [908093/524288, 1816187/
1048576]]]], [[6, 4, 4, 7, 5], [v = 0, u = -1, x = -1, 1 < y, (y+1)^(1/2) < z]
, [regular_chain, [[0, 0], [-1, -1], [-1, -1], [2, 2], [3, 3]]]], [[6, 8, 8, 6
, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1],
[v = 0, u = 2^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), z < -(y-x)^(1/2)],
[regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1/2, -1/2], [5/4,
5/4], [-3, -3]]]], [[6, 10, 5, 7, 2], [v = 0, u = 2^(1/2), And(-1 < x,x < 0),
And(0 < y,y < x+3), z = -(y-x)^(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, 7, 3], [v = 0, u = 2^(1/2), And(-1 < x,x < 0), And(0 < y,y < x
+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [741455/
524288, 1482911/1048576], [-1/2, -1/2], [5/4, 5/4], [0, 0]]]], [[6, 10, 5, 7,
4], [v = 0, u = 2^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), z = (y-x)^(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, 7, 5], [v = 0, u = 2^
(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), (y-x)^(1/2) < z], [regular_chain
, [[0, 0], [741455/524288, 1482911/1048576], [-1/2, -1/2], [5/4, 5/4], [3, 3]]
]], [[7, 4, 6, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 3, 1], [And(0 < v,v < 1), u =
-v, And(0 < x,x < 1), And(0 < y,y < x), 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = 1, u = -3^(1/2), x = -3, 0 < y, z < -(y+3)^(1/2)], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-3, -3], [1, 1]
, [-3, -3]]]], [[8, 2, 2, 7, 2], [v = 1, u = -3^(1/2), x = -3, 0 < y, z = -(y+
3)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-3,
-3], [1, 1], [-2, -2]]]], [[8, 2, 2, 7, 3], [v = 1, u = -3^(1/2), x = -3, 0 <
y, And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))], [regular_chain, [[1, 1], [-1816187/
1048576, -3632373/2097152], [-3, -3], [1, 1], [0, 0]]]], [[8, 2, 2, 7, 4], [v
= 1, u = -3^(1/2), x = -3, 0 < y, z = (y+3)^(1/2)], [regular_chain, [[1, 1], [
-1816187/1048576, -3632373/2097152], [-3, -3], [1, 1], [2, 2]]]], [[8, 2, 2, 7
, 5], [v = 1, u = -3^(1/2), x = -3, 0 < y, (y+3)^(1/2) < z], [regular_chain, [
[1, 1], [-1816187/1048576, -3632373/2097152], [-3, -3], [1, 1], [3, 3]]]], [[8
, 7, 9, 8, 1], [v = 1, And(-1 < u,u < 0), And(0 < x,x < 1), y = x-u^2+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, 8, 2], [v = 1, And(-1 < u,u < 0), And(0 < x,x < 1),
y = x-u^2+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, 8, 3], [v =
1, And(-1 < u,u < 0), And(0 < x,x < 1), y = x-u^2+2, And(-(-u^2+2)^(1/2) < z,z
< (-u^2+2)^(1/2))], [regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2], [9/4, 9
/4], [0, 0]]]], [[8, 7, 9, 8, 4], [v = 1, And(-1 < u,u < 0), And(0 < x,x < 1),
y = x-u^2+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, 8, 5], [v = 1,
And(-1 < u,u < 0), And(0 < x,x < 1), y = x-u^2+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, 9, 2, 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, 11
, 3, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, And(0 < y,y < x-u^2+2),
z = z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [2, 2], [
799673/1048576, 799673/1048576], [0, 0]]]], [[8, 15, 8, 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, 8, 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, 8, 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, 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), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1/2, 1/2], [3, 3], [-3, -3]]]], [[9, 5, 9, 9, 2], [And(1 <
v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), u^2-v^2+x+1
< y, z = -(y-x)^(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, 9, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/
2) < u,u < -v), And(0 < x,x < 1), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y
-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [1/2, 1/2], [3, 3], [0, 0]]]], [[9, 5, 9, 9, 4], [
And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), u^2-
v^2+x+1 < y, z = (y-x)^(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, 9, 5], [And(1 < v,v < 2^(1/2)), And(-(
v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), u^2-v^2+x+1 < y, (y-x)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1/2, 1/2], [3, 3], [3, 3]]]], [[9, 7, 10, 8, 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], [2695357/1048576, 1347679/524288],
[-3, -3]]]], [[9, 7, 10, 8, 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
], [2695357/1048576, 1347679/524288], [-1314069/1048576, -328517/262144]]]], [
[9, 7, 10, 8, 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], [2695357/1048576, 1347679/524288], [0, 0]]]], [[9, 7
, 10, 8, 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], [2695357/
1048576, 1347679/524288], [328517/262144, 1314069/1048576]]]], [[9, 7, 10, 8,
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], [2695357/1048576, 
1347679/524288], [3, 3]]]], [[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 = x, z < 0],
[regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1812519/1048576
, -1812519/1048576], [-1812519/1048576, -1812519/1048576], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[1265743/1048576,
1265743/1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [-1812519/
1048576, -1812519/1048576], [0, 0]]]], [[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 =
x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-\
1812519/1048576, -1812519/1048576], [-1812519/1048576, -1812519/1048576], [1,
1]]]], [[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 < 0), z < -(y-u^2+v^2+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, 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 < 0), z = -(y-u^2+v^2+
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, 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 < 0), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+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, 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 < 0), z = (y-u^2+v^2+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, 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 <
0), (y-u^2+v^2+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, 4, 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, 7, 1], [v = 2^(1/2), u <
-2, x = -1, And(0 < y,y < u^2-2), z < -(y+1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [-1, -1], [7/2, 7/2], [-4, -4]]]], [[10, 1
, 4, 7, 2], [v = 2^(1/2), u < -2, x = -1, And(0 < y,y < u^2-2), z = -(y+1)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1, -1], [7
/2, 7/2], [-1112183/524288, -2224365/1048576]]]], [[10, 1, 4, 7, 3], [v = 2^(1
/2), u < -2, x = -1, And(0 < y,y < u^2-2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2
))], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1, -1], [7
/2, 7/2], [0, 0]]]], [[10, 1, 4, 7, 4], [v = 2^(1/2), u < -2, x = -1, And(0 <
y,y < u^2-2), z = (y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [-1, -1], [7/2, 7/2], [2224365/1048576, 1112183/524288]]]]
, [[10, 1, 4, 7, 5], [v = 2^(1/2), u < -2, x = -1, And(0 < y,y < u^2-2), (y+1)
^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1,
-1], [7/2, 7/2], [4, 4]]]], [[10, 5, 3, 5, 1], [v = 2^(1/2), And(-3^(1/2) < u,
u < -v), And(-u^2+1 < x,x < -1), And(x-u^2+3 < y,y < 0), z < -(y-x)^(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(x-u^2+3 < y,y < 0), z = -(y-x)^(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(x-u^2+3 < y,y <
0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x-u^2+3 < y,y < 0), z = (y-x)^(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(x-u^2+3 < y,y < 0), (y-x)^(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 = u^2-2, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [-1138531/
2097152, -569265/1048576], [-2, -2]]]], [[10, 7, 4, 4, 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
], [-1138531/2097152, -569265/1048576], [-1417877/2097152, -354469/524288]]]],
[[10, 7, 4, 4, 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], [-1138531/2097152,
-569265/1048576], [0, 0]]]], [[10, 7, 4, 4, 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], [-1138531/
2097152, -569265/1048576], [354469/524288, 708939/1048576]]]], [[10, 7, 4, 4,
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], [-1138531/2097152, -569265/1048576], [2, 2]]]], [[10, 12,
7, 1, 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], [-1, -1], [0, 0]]]],
[[10, 14, 6, 2, 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, 2, 3, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -3,
And(-4 < y,y < -3), z = z], [regular_chain, [[3, 3], [-1738867/524288, -\
3477733/1048576], [-3, -3], [-7/2, -7/2], [0, 0]]]], [[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 = u^2-v^2+2, z <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [1, 1], [915943/262144, 3663773/1048576], [-3, -3]]]], [[11, 3, 10,
8, 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], [915943/262144, 3663773/1048576], [-1655969/1048576
, -3311937/2097152]]]], [[11, 3, 10, 8, 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], [915943/262144, 3663773/1048576], [-1/4194304, -1/4194304]]]
], [[11, 3, 10, 8, 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], [915943/262144, 3663773/1048576],
[51749/32768, 1655969/1048576]]]], [[11, 3, 10, 8, 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], [
915943/262144, 3663773/1048576], [3, 3]]]], [[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(0 < y,y < -u^2
+v^2-1), z = z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [533035/1048576, 133259/262144], [533035/2097152, 533035/2097152], [
0, 0]]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3],
[0, 0], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[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 = 0, z = -(-x)
^(1/2)], [regular_chain, [[3, 3], [0, 0], [-1/2, -1/2], [0, 0], [-1482911/
2097152, -741455/1048576]]]], [[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 = 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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(x-u^2
+v^2+1 < y,y < 0), z < -(y-x)^(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(x-u^2+v^2+1 < y,y < 0), z = -(y
-x)^(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(x-u^2+v^2+1 < y,y < 0), And(-(y
-x)^(1/2) < z,z < (y-x)^(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(x-u^2+v^2+1 < y,y < 0), z = (y-x)
^(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(x-u^2+v^2+1 < y,y < 0), (y-x)^(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 < -2, z = z], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-2, -2], [-3, -3
], [0, 0]]]], [[1, 6, 1, 2, 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
, 2, 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, 2, 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, 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 = x-u^2+v^2+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, 8, 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-u^2+v^2+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, 8, 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-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], [1/2, 1/2], [21/2, 21/2], [0, 0]]]]
, [[1, 11, 7, 8, 4], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)),
And(0 < x,x < 1), y = x-u^2+v^2+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, 8, 5], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), 
And(0 < x,x < 1), y = x-u^2+v^2+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, 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 = z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288],
[-1/2, -1/2], [-1057325/1048576, -264331/262144], [0, 0]]]], [[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(
x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3]
, [403851/131072, 403851/131072], [-1062385/4194304, -1062385/4194304], [
195745/262144, 195745/262144], [-3, -3]]]], [[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(x-u^2+v^2+1 < y,y
< u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [403851/131072,
403851/131072], [-1062385/4194304, -1062385/4194304], [195745/262144, 195745/
262144], [-1048577/1048576, -1]]]], [[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(x-u^2+v^2+1 < y,y < u^2-v^
2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-1062385/4194304, -1062385/4194304], [195745/
262144, 195745/262144], [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(x-u^2+v^2+1 < y,y < u^2-v^
2+x+1), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-1062385/4194304, -1062385/4194304], [195745/262144, 195745/262144],
[1, 1048577/1048576]]]], [[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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), (y
-x)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-\
1062385/4194304, -1062385/4194304], [195745/262144, 195745/262144], [3, 3]]]],
[[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 < x-u^2+v^2+1, z = z], [regular_chain, [[-3, -3],
[3396811/1048576, 3396811/1048576], [129511/524288, 129511/524288], [-2, -2],
[0, 0]]]], [[2, 3, 5, 9, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 <
x,x < 0), u^2+x-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2], [3, 3], [
-3, -3]]]], [[2, 3, 5, 9, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1
< x,x < 0), u^2+x-1 < y, z = -(y-x)^(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, 9, 3], [v = -2^(1/2), And(-2
< u,u < -3^(1/2)), And(-1 < x,x < 0), u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y
-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [-1/2, -1/2], [3, 3], [0, 0]]]], [[2, 3, 5, 9, 4],
[v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), u^2+x-1 < y, z = (
y-x)^(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, 9, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1
< x,x < 0), u^2+x-1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2], [3, 3], [
3, 3]]]], [[2, 5, 5, 3, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x
,x < u^2-3), And(x < y,y < x-u^2+3), z < -(y-x)^(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, 3, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x
< u^2-3), And(x < y,y < x-u^2+3), z = -(y-x)^(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, 3, 3], [v = -2^(1/2), And(-3^
(1/2) < u,u < v), And(-1 < x,x < u^2-3), And(x < y,y < x-u^2+3), And(-(y-x)^(1
/2) < z,z < (y-x)^(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, 3, 4], [v = -2^(1/2)
, And(-3^(1/2) < u,u < v), And(-1 < x,x < u^2-3), And(x < y,y < x-u^2+3), z =
(y-x)^(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, 3,
5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x < u^2-3), And(x < y,y
< x-u^2+3), (y-x)^(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, 5, 3, 1], [
v = -2^(1/2), u = v, And(0 < x,x < 1), And(0 < y,y < x), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[2, 8, 6, 2, 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, 2, 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, 2, 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, 2, 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, 1, 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], [-1, -1], [0, 0]]]], [[2, 19, 9, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 5, 2, 1], [And(-
2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = x-1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[3, 7, 11, 8, 1], [
And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = x-u^2+v^2+
1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [3743933/1048576, 
1871967/524288], [-3, -3]]]], [[3, 7, 11, 8, 2], [And(-2^(1/2) < v,v < -1), 
And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [3743933/1048576, 1871967/524288], [-1314069/1048576
, -328517/262144]]]], [[3, 7, 11, 8, 3], [And(-2^(1/2) < v,v < -1), And(v < u,
u < -(v^2-1)^(1/2)), 1 < x, y = x-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], [2, 2], [3743933/1048576, 1871967/524288],
[0, 0]]]], [[3, 7, 11, 8, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1
)^(1/2)), 1 < x, y = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [2,
2], [3743933/1048576, 1871967/524288], [328517/262144, 1314069/1048576]]]], [[
3, 7, 11, 8, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1 <
x, y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [
3743933/1048576, 1871967/524288], [3, 3]]]], [[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 = 0, z = z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [2, 2], [0, 0],
[0, 0]]]], [[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 < 0), 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, 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^2-1 < y,y < 0), 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, 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^2-1 < 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], [3, 3], [-\
4478937/524288, -8957873/1048576], [-8957873/2097152, -8957873/2097152], [0, 0
]]]], [[3, 17, 2, 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^2-1 < y,y < 0), 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, 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^2-1 < y,y < 0), (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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 7, 1], [v = -1, And
(-1 < u,u < 0), x = -1, And(0 < y,y < -u^2+1), z < -(y+1)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [3/8, 3/8], [-3, -3]]]], [[4
, 7, 4, 7, 2], [v = -1, And(-1 < u,u < 0), x = -1, And(0 < y,y < -u^2+1), z =
-(y+1)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [3/8, 3/8],
[-1229565/1048576, -307391/262144]]]], [[4, 7, 4, 7, 3], [v = -1, And(-1 < u,u
< 0), x = -1, And(0 < 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], [3/8, 3/8], [0, 0]]]], [[4,
7, 4, 7, 4], [v = -1, And(-1 < u,u < 0), x = -1, And(0 < y,y < -u^2+1), z = (y
+1)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [3/8, 3/8], [
307391/262144, 1229565/1048576]]]], [[4, 7, 4, 7, 5], [v = -1, And(-1 < u,u <
0), x = -1, And(0 < y,y < -u^2+1), (y+1)^(1/2) < z], [regular_chain, [[-1, -1]
, [-1/2, -1/2], [-1, -1], [3/8, 3/8], [3, 3]]]], [[4, 9, 4, 1, 1], [v = -1, 
And(0 < u,u < 1), x = -1, y < -1, z = z], [regular_chain, [[-1, -1], [1/2, 1/2
], [-1, -1], [-2, -2], [0, 0]]]], [[4, 13, 6, 2, 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], [-248903/524288, -497805/1048576], [0, 0]]]
], [[4, 15, 3, 7, 1], [v = -1, 3^(1/2) < u, And(-u^2 < x,x < -1), And(0 < y,y
< u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-5, -5], [2,
2], [-4, -4]]]], [[4, 15, 3, 7, 2], [v = -1, 3^(1/2) < u, And(-u^2 < x,x < -1)
, And(0 < y,y < u^2+x), z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [3, 3],
[-5, -5], [2, 2], [-5548543/2097152, -2774271/1048576]]]], [[4, 15, 3, 7, 3],
[v = -1, 3^(1/2) < u, And(-u^2 < x,x < -1), And(0 < y,y < u^2+x), And(-(y-x)^(
1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [3, 3], [-5, -5], [2, 2
], [0, 0]]]], [[4, 15, 3, 7, 4], [v = -1, 3^(1/2) < u, And(-u^2 < x,x < -1), 
And(0 < y,y < u^2+x), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-5
, -5], [2, 2], [2774271/1048576, 10837/4096]]]], [[4, 15, 3, 7, 5], [v = -1, 3
^(1/2) < u, And(-u^2 < x,x < -1), And(0 < y,y < u^2+x), (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [3, 3], [-5, -5], [2, 2], [4, 4]]]], [[5, 5, 4, 8, 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], [-3, -3]]]], [[5,
5, 4, 8, 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], [-19417
/16384, -1242687/1048576]]]], [[5, 5, 4, 8, 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], [0, 0]]]], [[5, 5, 4, 8,
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], [1242687/1048576,
19417/16384]]]], [[5, 5, 4, 8, 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], [3, 3]]]], [[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(0 < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [3/16, 3/16], [-3, -3]]]],
[[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(0 < y,y < x-u^2+v^2+1), z = -(y-x)^(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, 7, 3], [And(-1 < v,v < 0), And(v < u,u < -v), And(-1 < x,x < -u^2
+v^2-1), And(0 < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [3/16, 3/16], [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(0 < y,y < x-u^2+v^2+1), z = (y-x)^(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, 7, 5], [And(-1 < v,v < 0), And(v < u,u < -v), And(-1 < x,x < -u^2+v^2
-1), And(0 < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/
2], [0, 0], [-7/8, -7/8], [3/16, 3/16], [3, 3]]]], [[5, 8, 5, 5, 1], [And(-1 <
v,v < 0), u = -v, And(0 < x,x < 1), And(x < y,y < x+1), z < -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1/2, 1/2], [1, 1], [-2, -2]]]], [[5
, 8, 5, 5, 2], [And(-1 < v,v < 0), u = -v, And(0 < x,x < 1), And(x < y,y < x+1
), z = -(y-x)^(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, 5, 3], [And(-1 < v,v
< 0), u = -v, And(0 < x,x < 1), And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1/2, 1/2], [1, 1], [
0, 0]]]], [[5, 8, 5, 5, 4], [And(-1 < v,v < 0), u = -v, And(0 < x,x < 1), And(
x < y,y < x+1), z = (y-x)^(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, 5, 5], [And(-1
< v,v < 0), u = -v, And(0 < x,x < 1), And(x < y,y < x+1), (y-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1/2, 1/2], [1, 1], [2, 2]]]], [[5,
10, 6, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 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 < -2^(1/2
)], [regular_chain, [[0, 0], [-1, -1], [-1, -1], [1, 1], [-3, -3]]]], [[6, 4,
4, 6, 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, 6, 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, 6, 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, 6, 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, 7, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 4, 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, 4, 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, 4, 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, 5, 6, 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, 6
, 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, 6, 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, 6, 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, 6, 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, 6, 5, 2, 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, 8, 4, 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, 2, 3, 3, 1], [v = 1, u = -3^(1/2), And(-3 < x,x < -1), And(x-1 < y,
y < x), z = z], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152],
[-2, -2], [-5/2, -5/2], [0, 0]]]], [[8, 7, 10, 4, 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, 4, 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, 4, 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, 3, 1], [v = 1, And(
0 < u,u < 1), And(0 < x,x < 1), And(0 < y,y < x), z = z], [regular_chain, [[1,
1], [1/2, 1/2], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[8, 14, 1, 1, 1], [v = 1,
u = 3^(1/2), x < -3, y < x-1, z = z], [regular_chain, [[1, 1], [908093/524288,
1816187/1048576], [-4, -4], [-6, -6], [0, 0]]]], [[8, 15, 8, 9, 1], [v = 1, 3^
(1/2) < u, x = 1, u^2+1 < y, z < -(y-1)^(1/2)], [regular_chain, [[1, 1], [3, 3
], [1, 1], [11, 11], [-5, -5]]]], [[8, 15, 8, 9, 2], [v = 1, 3^(1/2) < u, x =
1, u^2+1 < y, z = -(y-1)^(1/2)], [regular_chain, [[1, 1], [3, 3], [1, 1], [11,
11], [-3315889/1048576, -207243/65536]]]], [[8, 15, 8, 9, 3], [v = 1, 3^(1/2)
< u, x = 1, u^2+1 < y, 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, 9, 4], [v = 1, 3^(1/
2) < u, x = 1, u^2+1 < y, z = (y-1)^(1/2)], [regular_chain, [[1, 1], [3, 3], [
1, 1], [11, 11], [207243/65536, 3315889/1048576]]]], [[8, 15, 8, 9, 5], [v = 1
, 3^(1/2) < u, x = 1, u^2+1 < y, (y-1)^(1/2) < z], [regular_chain, [[1, 1], [3
, 3], [1, 1], [11, 11], [5, 5]]]], [[9, 5, 10, 5, 1], [And(1 < v,v < 2^(1/2)),
And(-(v^2+1)^(1/2) < u,u < -v), x = 1, And(1 < y,y < -u^2+v^2+2), 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(1 < y,y < -u^2+v^2+2), 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(1 < 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], [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(1 < y,y < -u^2+v^2+2), 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(1 < y,y < -u^2+v^2+2), (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, -u^2+v^2+2 < y, z < -(y-1)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304
, -3949363/4194304], [1, 1], [4, 4], [-3, -3]]]], [[9, 7, 10, 9, 2], [And(1 <
v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1, -u^2+v^2+2 < y, 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, 9, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-\
1)^(1/2)), x = 1, -u^2+v^2+2 < y, 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, 9,
4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1, -u^2+v^2+2
< y, 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, 9, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-\
1)^(1/2)), x = 1, -u^2+v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [4, 4
], [3, 3]]]], [[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 < x), z
= z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1812519/
1048576, -1812519/1048576], [-1026087/524288, -1026087/524288], [0, 0]]]], [[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, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-3, -3], [1, 1], [-3, -3]]]], [[9
, 11, 1, 9, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < u^2
-v^2-1, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-3, -3], [1, 1], [-2, -2]]]], [[9
, 11, 1, 9, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < u^2
-v^2-1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3],
[1, 1], [0, 0]]]], [[9, 11, 1, 9, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/
2) < u,u < v), x < u^2-v^2-1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3],
[1, 1], [2, 2]]]], [[9, 11, 1, 9, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/
2) < u,u < v), x < u^2-v^2-1, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3],
[1, 1], [3, 3]]]], [[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-1, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [121853/65536, 1949649/1048576], [1/2, 1/2], [-2, -2], [0, 0
]]]], [[10, 1, 3, 9, 1], [v = 2^(1/2), u < -2, And(-u^2+1 < x,x < -1), u^2+x-1
< y, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3
, -3], [-9/2, -9/2], [5, 5], [-5, -5]]]], [[10, 1, 3, 9, 2], [v = 2^(1/2), u <
-2, And(-u^2+1 < x,x < -1), u^2+x-1 < y, z = -(y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [-9/2, -9/2], [5, 5], [-3231929/
1048576, -403991/131072]]]], [[10, 1, 3, 9, 3], [v = 2^(1/2), u < -2, And(-u^2
+1 < x,x < -1), u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9/2, -9/2], [5,
5], [0, 0]]]], [[10, 1, 3, 9, 4], [v = 2^(1/2), u < -2, And(-u^2+1 < x,x < -1)
, u^2+x-1 < y, z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [-9/2, -9/2], [5, 5], [403991/131072, 3231929/1048576]]]],
[[10, 1, 3, 9, 5], [v = 2^(1/2), u < -2, And(-u^2+1 < x,x < -1), u^2+x-1 < y,
(y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3],
[-9/2, -9/2], [5, 5], [5, 5]]]], [[10, 5, 3, 4, 1], [v = 2^(1/2), And(-3^(1/2)
< u,u < -v), And(-u^2+1 < x,x < -1), y = x-u^2+3, z < -(-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1297479/1048576, -1297479/1048576], [-1493419/2097152, -746709/
1048576], [-2, -2]]]], [[10, 5, 3, 4, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -
v), And(-u^2+1 < x,x < -1), y = x-u^2+3, z = -(-u^2+3)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
1297479/1048576, -1297479/1048576], [-1493419/2097152, -746709/1048576], [-\
379975/524288, -1519899/2097152]]]], [[10, 5, 3, 4, 3], [v = 2^(1/2), And(-3^(
1/2) < u,u < -v), And(-u^2+1 < x,x < -1), y = x-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], [-1297479/1048576, -1297479/1048576], [-\
1493419/2097152, -746709/1048576], [-1/4194304, -1/4194304]]]], [[10, 5, 3, 4,
4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-u^2+1 < x,x < -1), y = x-u^2+
3, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [-1297479/1048576, -1297479/1048576], [-\
1493419/2097152, -746709/1048576], [759949/1048576, 379975/524288]]]], [[10, 5
, 3, 4, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-u^2+1 < x,x < -1), y
= x-u^2+3, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [-1297479/1048576, -1297479/
1048576], [-1493419/2097152, -746709/1048576], [2, 2]]]], [[10, 7, 3, 8, 1], [
v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), y = x-u^2+3, z < -(-u^
2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152], [35579/
131072, 284633/1048576], [-3, -3]]]], [[10, 7, 3, 8, 2], [v = 2^(1/2), And(-v
< u,u < -1), And(u^2-3 < x,x < -1), y = x-u^2+3, z = -(-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-2666417/2097152, -2666417/2097152], [35579/131072, 284633/1048576]
, [-1302471/1048576, -651235/524288]]]], [[10, 7, 3, 8, 3], [v = 2^(1/2), And(
-v < u,u < -1), And(u^2-3 < x,x < -1), y = x-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], [-2666417/2097152, -2666417/2097152], [
35579/131072, 284633/1048576], [0, 0]]]], [[10, 7, 3, 8, 4], [v = 2^(1/2), And
(-v < u,u < -1), And(u^2-3 < x,x < -1), y = x-u^2+3, z = (-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-2666417/2097152, -2666417/2097152], [35579/131072, 284633/1048576]
, [651235/524288, 1302471/1048576]]]], [[10, 7, 3, 8, 5], [v = 2^(1/2), And(-v
< u,u < -1), And(u^2-3 < x,x < -1), y = x-u^2+3, (-u^2+3)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-2666417/2097152, -2666417/2097152], [35579/131072, 284633/1048576]
, [3, 3]]]], [[10, 12, 6, 3, 1], [v = 2^(1/2), u = 1, x = 0, And(0 < y,y < 2),
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(0
< y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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
= 0, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288
, 1482911/1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[11, 2, 3, 1, 1], [2^(1/2)
< v, u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y < x-1, z = z], [regular_chain,
[[3, 3], [-1738867/524288, -3477733/1048576], [-2, -2], [-4, -4], [0, 0]]]], [
[11, 3, 10, 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+2 < y, z < -(y-1)^(1/2)], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [1, 1], [5, 5], [-3, -3]]]], [[11, 3, 10, 9, 2], [
2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y,
z = -(y-1)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [1, 1], [5, 5], [-2, -2]]]], [[11, 3, 10, 9, 3], [2^(1/2) < v, And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y, 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, 9, 4], [2^(1/2) < v, And(-(v
^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y, z = (y-1)^(1/2)], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [1, 1], [5, 5],
[2, 2]]]], [[11, 3, 10, 9, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+
1)^(1/2)), x = 1, u^2-v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [1, 1], [5, 5], [3, 3]]]], [[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(0 < y,y < u^2-v^2+x+1), z = z], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [395403/524288, 395403/524288], [128885/
1048576, 128885/1048576], [0, 0]]]], [[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), x-u^2+v^2+1 < y, z < -(
y-x)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-1/2, -1/2], [11, 11], [-5, -5]
]]], [[11, 11, 5, 9, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2
)), And(-1 < x,x < 0), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[3
, 3], [0, 0], [-1/2, -1/2], [11, 11], [-3555895/1048576, -1777947/524288]]]],
[[11, 11, 5, 9, 3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), 
And(-1 < x,x < 0), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [0, 0], [-1/2, -1/2], [11, 11], [0, 0]]]], [[11, 11, 5
, 9, 4], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x
< 0), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-1/
2, -1/2], [11, 11], [1777947/524288, 3555895/1048576]]]], [[11, 11, 5, 9, 5],
[2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), x-
u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [0, 0], [-1/2, -1/2]
, [11, 11], [5, 5]]]], [[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 = x, z < 0], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [-391287/
524288, -391287/524288], [-1, -1]]]], [[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 = x, z = 0], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-391287/524288, -\
391287/524288], [-391287/524288, -391287/524288], [0, 0]]]], [[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 =
x, 0 < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-\
391287/524288, -391287/524288], [-391287/524288, -391287/524288], [1, 1]]]], [
[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [403851/131072,
403851/131072], [-1579769/2097152, -1579769/2097152], [0, 0], [-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 = 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, 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 = 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,
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 = 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, 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 = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [0, 0], [
2, 2]]]], [[1, 1, 5, 7, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-1 < x,x <
0), And(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3],
[-5, -5], [-1/2, -1/2], [33/4, 33/4], [-4, -4]]]], [[1, 1, 5, 7, 2], [v < -2^(
1/2), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), z = -
(y-x)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-1/2, -1/2], [33/4, 33/4],
[-49627675/16777216, -24813837/8388608]]]], [[1, 1, 5, 7, 3], [v < -2^(1/2), u
< -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1
/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-5, -5], [-1/2, -1/2],
[33/4, 33/4], [-5/16777216, -5/16777216]]]], [[1, 1, 5, 7, 4], [v < -2^(1/2),
u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), z = (y-x)^(
1/2)], [regular_chain, [[-3, -3], [-5, -5], [-1/2, -1/2], [33/4, 33/4], [
3101729/1048576, 1550865/524288]]]], [[1, 1, 5, 7, 5], [v < -2^(1/2), u < -(v^
2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [-5, -5], [-1/2, -1/2], [33/4, 33/4], [4, 4]]]], [[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(x-u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[
-3, -3], [-3396811/1048576, -3396811/1048576], [-915943/524288, -915943/524288
], [-522727/262144, -522727/262144], [0, 0]]]], [[1, 8, 9, 5, 1], [v < -2^(1/2
), u = -(v^2-1)^(1/2), 1 < x, And(x < y,y < x+2), z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [2, 2], [3, 3
], [-2, -2]]]], [[1, 8, 9, 5, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), 1 < x, 
And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-2965821/
1048576, -11863283/4194304], [2, 2], [3, 3], [-1, -1]]]], [[1, 8, 9, 5, 3], [v
< -2^(1/2), u = -(v^2-1)^(1/2), 1 < x, And(x < y,y < x+2), And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [2, 2], [3, 3], [0, 0]]]], [[1, 8, 9, 5, 4], [v < -2^(1/2), u = -(v^
2-1)^(1/2), 1 < x, And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[-3,
-3], [-2965821/1048576, -11863283/4194304], [2, 2], [3, 3], [1, 1]]]], [[1, 8,
9, 5, 5], [v < -2^(1/2), u = -(v^2-1)^(1/2), 1 < x, And(x < y,y < x+2), (y-x)^
(1/2) < z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304],
[2, 2], [3, 3], [2, 2]]]], [[1, 10, 7, 1, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2
), And(0 < x,x < 1), y < x-1, z = z], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [1/2, 1/2], [-2, -2], [0, 0]]]], [[1, 14, 4, 7, 1]
, [v < -2^(1/2), u = (v^2-1)^(1/2), x = -1, 1 < y, z < -(y+1)^(1/2)], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1, -1], [2, 2],
[-3, -3]]]], [[1, 14, 4, 7, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -1, 1 <
y, z = -(y+1)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [-1, -1], [2, 2], [-1816187/1048576, -3632373/2097152]]]], [[1, 14,
4, 7, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -1, 1 < y, And(-(y+1)^(1/2) <
z,z < (y+1)^(1/2))], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [-1, -1], [2, 2], [-1/4194304, -1/4194304]]]], [[1, 14, 4, 7, 4], [v
< -2^(1/2), u = (v^2-1)^(1/2), x = -1, 1 < y, z = (y+1)^(1/2)], [regular_chain
, [[-3, -3], [741455/262144, 2965821/1048576], [-1, -1], [2, 2], [908093/
524288, 1816187/1048576]]]], [[1, 14, 4, 7, 5], [v < -2^(1/2), u = (v^2-1)^(1/
2), x = -1, 1 < y, (y+1)^(1/2) < z], [regular_chain, [[-3, -3], [741455/262144
, 2965821/1048576], [-1, -1], [2, 2], [3, 3]]]], [[1, 16, 4, 1, 1], [v < -2^(1
/2), u = -v, x = 0, y < 0, z = z], [regular_chain, [[-3, -3], [3, 3], [0, 0],
[-1, -1], [0, 0]]]], [[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 < -(u^2-v^2+1)^(1/2)], [regular_chain
, [[-3, -3], [5, 5], [8, 8], [25, 25], [-6, -6]]]], [[1, 21, 9, 8, 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, 8, 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, 8, 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, 8, 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, 2, 5, 2, 1], [v = -2^(1/2), u = -2, And(-1 < x,x < 0
), y = x-1, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2,
-2], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[2, 9, 7, 8, 1], [v = -2^(1/2), 
And(-1 < u,u < 0), And(0 < x,x < -u^2+1), y = x-u^2+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, 8, 2], [v = -2^(1/2), And(-1 < u,u < 0),
And(0 < x,x < -u^2+1), y = x-u^2+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, 8, 3], [v = -2^(1/2), And(-1
< u,u < 0), And(0 < x,x < -u^2+1), y = x-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], [3/8, 3/8], [25/8, 25/8], [-1/4194304, -1/4194304]]]], [[2, 9, 7, 8, 4],
[v = -2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+1), y = x-u^2+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, 8,
5], [v = -2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+1), y = x-u^2+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, 5, 2, 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, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6,
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, 9, 2, 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
, 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 < -(y-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-\
1/2, -1/2], [3, 3], [-3, -3]]]], [[3, 3, 5, 9, 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), u^2-v^2+x+1 < y
, z = -(y-x)^(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, 9, 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), u^2-v^2+x+1 < y, And(-(y-x)^
(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-1/2, -1/2], [3, 3], [0, 0]
]]], [[3, 3, 5, 9, 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), u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1/2, -1/2], [3, 3], [3, 3]]]], [[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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/
4194304, -3213831/4194304], [-4194307/8388608, -4194307/8388608], [-2, -2]]]],
[[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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [-4194307/8388608, -\
4194307/8388608], [-270523/524288, -1082091/2097152]]]], [[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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [-4194307/8388608, -\
4194307/8388608], [-1/4194304, -1/4194304]]]], [[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(x <
y,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/4194304, -\
3213831/4194304], [-4194307/8388608, -4194307/8388608], [541045/1048576, 
270523/524288]]]], [[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(x < y,y < x-u^2+v^2+1), (y-x)^
(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-3213831/4194304, -3213831/4194304], [-4194307/
8388608, -4194307/8388608], [2, 2]]]], [[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, 0 < y, z < -(y-u^2+v^2+1)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [-1646781/1048576, -3293561/2097152], [1, 1], [-3, -\
3]]]], [[3, 11, 2, 7, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u <
-v), x = u^2-v^2-1, 0 < y, z = -(y-u^2+v^2+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, 7, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -
v), x = u^2-v^2-1, 0 < y, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2)
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [-1646781/1048576, -3293561/2097152], [1, 1], [0, 0]]]], [[3,
11, 2, 7, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = u^
2-v^2-1, 0 < y, z = (y-u^2+v^2+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, 7,
5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, 0
< y, (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-1646781/1048576, -3293561/
2097152], [1, 1], [3, 3]]]], [[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 = 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], [
122559/524288, 245119/1048576], [-3, -3]]]], [[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 = 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], [122559/524288, 245119/1048576], [-1270261/1048576, -317565/
262144]]]], [[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 = u^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], [122559/524288, 245119/1048576], [0, 0]]]], [[3, 13, 3, 8, 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], [122559/524288, 245119/1048576], [317565/262144, 1270261/
1048576]]]], [[3, 13, 3, 8, 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], [122559/524288, 245119
/1048576], [3, 3]]]], [[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, z = z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [1643659/1048576, 410915/262144], [-3/2, -3/2], [-3, -3],
[0, 0]]]], [[3, 16, 1, 7, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x
< -3, And(x+3 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-4, -4], [-1/2,
-1/2], [-3, -3]]]], [[3, 16, 1, 7, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^
(1/2), x < -3, And(x+3 < y,y < 0), z = -(y-x)^(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, 7, 3], [And(-
2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x < -3, And(x+3 < y,y < 0), And(-(y-x)
^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [-4, -4], [-1/2, -1/2], [0, 0]]]],
[[3, 16, 1, 7, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x < -3, And(x
+3 < y,y < 0), z = (y-x)^(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, 7, 5], [And(-2^(1/2) < v,v < -1), u =
(v^2+2)^(1/2), x < -3, And(x+3 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-4, -4
], [-1/2, -1/2], [3, 3]]]], [[4, 4, 1, 1, 1], [v = -1, u = -2^(1/2), x < -2, y
< x, z = z], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-\
3, -3], [-4, -4], [0, 0]]]], [[4, 5, 11, 4, 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, 4, 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, 4,
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, 3, 2, 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, 2, 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, 2, 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, 3, 1],
[v = -1, u = 2^(1/2), x = -1, And(-1 < y,y < 0), z < -(y+1)^(1/2)], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-1, -1], [-1/2, -\
1/2], [-2, -2]]]], [[4, 12, 4, 3, 2], [v = -1, u = 2^(1/2), x = -1, And(-1 < y
,y < 0), z = -(y+1)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911
/1048576], [-1, -1], [-1/2, -1/2], [-1482911/2097152, -741455/1048576]]]], [[4
, 12, 4, 3, 3], [v = -1, u = 2^(1/2), x = -1, And(-1 < y,y < 0), And(-(y+1)^(1
/2) < z,z < (y+1)^(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 = (y+1)^(1/2)], [regular_chain, [[-1, -1]
, [741455/524288, 1482911/1048576], [-1, -1], [-1/2, -1/2], [741455/1048576, 
46341/65536]]]], [[4, 12, 4, 3, 5], [v = -1, u = 2^(1/2), x = -1, And(-1 < y,y
< 0), (y+1)^(1/2) < z], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [-1, -1], [-1/2, -1/2], [2, 2]]]], [[5, 2, 4, 7, 1], [And(-1 < v,v <
0), u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 2), z < -(y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1, -1], [1, 1], [-3, -3]]]], [[5
, 2, 4, 7, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 2
), z = -(y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1, -1], [
1, 1], [-1482911/1048576, -741455/524288]]]], [[5, 2, 4, 7, 3], [And(-1 < v,v
< 0), u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 2), And(-(y+1)^(1/2) < z,z < (
y+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1, -1], [1, 1], [
0, 0]]]], [[5, 2, 4, 7, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -1, 
And(0 < y,y < 2), z = (y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2
], [-1, -1], [1, 1], [741455/524288, 1482911/1048576]]]], [[5, 2, 4, 7, 5], [
And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 2), (y+1)^(1/2) <
z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1, -1], [1, 1], [3, 3]]]],
[[5, 4, 2, 3, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -2, And(-2 < y,y
< 0), z < -(y+2)^(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(-2 < y,y < 0), z = -(y+2)^(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(-2 < y,y < 0), And(-(y+2)^(1/2) < z,z < (y+2)^(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(-2 < y,y < 0), z = (y+2)^(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(-2 < y,y < 0), (y+2)^(
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 < 0, z = z], [regular_chain
, [[-1/2, -1/2], [343151/262144, 343151/262144], [243021/524288, 486043/
1048576], [-1, -1], [0, 0]]]], [[5, 13, 5, 4, 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, 4, 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, 4, 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, 5, 6, 5, 1], [v = 0, And(-1 < u,u < 0), x = u^2-1, And(0 < y,y < 2*u^2), z
< -(y-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/4, -3/4], [1/4
, 1/4], [-2, -2]]]], [[6, 5, 6, 5, 2], [v = 0, And(-1 < u,u < 0), x = u^2-1, 
And(0 < y,y < 2*u^2), z = -(y-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -\
1/2], [-3/4, -3/4], [1/4, 1/4], [-1, -1]]]], [[6, 5, 6, 5, 3], [v = 0, And(-1
< u,u < 0), x = u^2-1, And(0 < y,y < 2*u^2), And(-(y-u^2+1)^(1/2) < z,z < (y-u
^2+1)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/4, -3/4], [1/4, 1/4]
, [0, 0]]]], [[6, 5, 6, 5, 4], [v = 0, And(-1 < u,u < 0), x = u^2-1, And(0 < y
,y < 2*u^2), z = (y-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/
4, -3/4], [1/4, 1/4], [1, 1]]]], [[6, 5, 6, 5, 5], [v = 0, And(-1 < u,u < 0),
x = u^2-1, And(0 < y,y < 2*u^2), (y-u^2+1)^(1/2) < z], [regular_chain, [[0, 0]
, [-1/2, -1/2], [-3/4, -3/4], [1/4, 1/4], [2, 2]]]], [[6, 7, 7, 6, 1], [v = 0,
And(0 < u,u < 1), And(u^2-1 < x,x < 0), y = x-u^2+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, 6, 2], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x < 0), y = x-u^2+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, 6, 3], [v = 0, And(0
< u,u < 1), And(u^2-1 < x,x < 0), y = x-u^2+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, 6, 4], [v = 0, And(0 < u,u < 1), And(u
^2-1 < x,x < 0), y = x-u^2+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, 6, 5], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x < 0), y = x-u^2+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, 2, 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, 2, 1, 5, 1]
, [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x < -3, And(x < y,y < x+3), z < -(y-x
)^(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 < y,y < x+3), z = -(y-x)^(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 < y,y < x+3), And(
-(y-x)^(1/2) < z,z < (y-x)^(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 < y,y < x+3), z = (y-x)^(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 < y,y < x+3), (y-x)^(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(
x < y,y < x-u^2+v^2+1), z < -(y-x)^(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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y
,y < x-u^2+v^2+1), z = (y-x)^(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(x < y,y < x-u^2+v^2+1), (y-x)^(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(x-
u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[1/2, 1/2], [343151/262144, 
343151/262144], [-4, -4], [-4437325/1048576, -4437325/1048576], [0, 0]]]], [[7
, 12, 7, 2, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(0 < x,x < 1), y = x-\
1, 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, 3, 1], [v = 1, u = -2^(1/2), x = 1, And(0 < y,y < 1), z
= z], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [1, 1], [1/
2, 1/2], [0, 0]]]], [[8, 6, 6, 7, 1], [v = 1, u = -1, x = 1, 2 < y, z < -(y-1)
^(1/2)], [regular_chain, [[1, 1], [-1, -1], [1, 1], [3, 3], [-3, -3]]]], [[8,
6, 6, 7, 2], [v = 1, u = -1, x = 1, 2 < y, z = -(y-1)^(1/2)], [regular_chain,
[[1, 1], [-1, -1], [1, 1], [3, 3], [-1482911/1048576, -741455/524288]]]], [[8,
6, 6, 7, 3], [v = 1, u = -1, x = 1, 2 < y, 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,
7, 4], [v = 1, u = -1, x = 1, 2 < y, z = (y-1)^(1/2)], [regular_chain, [[1, 1]
, [-1, -1], [1, 1], [3, 3], [741455/524288, 1482911/1048576]]]], [[8, 6, 6, 7,
5], [v = 1, u = -1, x = 1, 2 < y, (y-1)^(1/2) < z], [regular_chain, [[1, 1], [
-1, -1], [1, 1], [3, 3], [3, 3]]]], [[8, 11, 3, 2, 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, 2, 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, 2, 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, 13, 1
, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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
, 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 = x, z < 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-4, -4], [-4, -4], [-1, -1]
]]], [[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 = x, z = 0], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4, -4], [-4, -4]
, [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4, -4],
[-4, -4], [1, 1]]]], [[9, 4, 9, 1, 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], [-1, -1], [0, 0]]]], [[9, 12, 1
, 2, 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, 2, 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,
2, 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, 14, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 2, 1], [v = 2^(1/2), u = -2, And(-3 < x,x < -1)
, y = x-1, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2]
, [-2, -2], [-3, -3], [0, 0]]]], [[10, 3, 11, 1, 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], [-1, -1], [0, 0]]]], [
[10, 8, 3, 5, 1], [v = 2^(1/2), u = -1, And(-2 < x,x < -1), And(0 < y,y < x+2)
, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -\
1], [-3/2, -3/2], [1/4, 1/4], [-3, -3]]]], [[10, 8, 3, 5, 2], [v = 2^(1/2), u
= -1, And(-2 < x,x < -1), And(0 < y,y < x+2), z = -(y-x)^(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, 5, 3], [v = 2^(1/2), u
= -1, And(-2 < x,x < -1), And(0 < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-3/2, -3
/2], [1/4, 1/4], [0, 0]]]], [[10, 8, 3, 5, 4], [v = 2^(1/2), u = -1, And(-2 <
x,x < -1), And(0 < y,y < x+2), z = (y-x)^(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, 5, 5], [v = 2^(1/2), u = -1, And(-2 < x,x < -1),
And(0 < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911
/1048576], [-1, -1], [-3/2, -3/2], [1/4, 1/4], [3, 3]]]], [[10, 10, 1, 7, 1],
[v = 2^(1/2), u = 0, x < -3, And(x+3 < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-4, -4], [-1/2, -1/
2], [-3, -3]]]], [[10, 10, 1, 7, 2], [v = 2^(1/2), u = 0, x < -3, And(x+3 < y,
y < 0), z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[0, 0], [-4, -4], [-1/2, -1/2], [-7846825/4194304, -980853/524288]]]], [[10, 
10, 1, 7, 3], [v = 2^(1/2), u = 0, x < -3, And(x+3 < y,y < 0), And(-(y-x)^(1/2
) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [0
, 0], [-4, -4], [-1/2, -1/2], [0, 0]]]], [[10, 10, 1, 7, 4], [v = 2^(1/2), u =
0, x < -3, And(x+3 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [0, 0], [-4, -4], [-1/2, -1/2], [980853/524288, 
1961707/1048576]]]], [[10, 10, 1, 7, 5], [v = 2^(1/2), u = 0, x < -3, And(x+3
< y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576
], [0, 0], [-4, -4], [-1/2, -1/2], [3, 3]]]], [[10, 15, 9, 1, 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
], [-1, -1], [0, 0]]]], [[10, 17, 7, 7, 1], [v = 2^(1/2), And(3^(1/2) < u,u <
2), And(0 < x,x < u^2-3), And(x < y,y < u^2+x-1), z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [505467/2097152, 505467/2097152], [1554043/1048576, 1554043/1048576]
, [-3, -3]]]], [[10, 17, 7, 7, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(0
< x,x < u^2-3), And(x < y,y < u^2+x-1), z = -(y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [505467/
2097152, 505467/2097152], [1554043/1048576, 1554043/1048576], [-4563/4096, -\
1168127/1048576]]]], [[10, 17, 7, 7, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2),
And(0 < x,x < u^2-3), And(x < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [505467/2097152, 505467/2097152], [1554043/1048576, 1554043/
1048576], [0, 0]]]], [[10, 17, 7, 7, 4], [v = 2^(1/2), And(3^(1/2) < u,u < 2),
And(0 < x,x < u^2-3), And(x < y,y < u^2+x-1), z = (y-x)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [
505467/2097152, 505467/2097152], [1554043/1048576, 1554043/1048576], [1168127/
1048576, 4563/4096]]]], [[10, 17, 7, 7, 5], [v = 2^(1/2), And(3^(1/2) < u,u <
2), And(0 < x,x < u^2-3), And(x < y,y < u^2+x-1), (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [505467/2097152, 505467/2097152], [1554043/1048576, 1554043/1048576]
, [3, 3]]]], [[10, 18, 6, 7, 1], [v = 2^(1/2), u = 2, x = 0, 3 < y, z < -y^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [0, 0], [4, 4]
, [-3, -3]]]], [[10, 18, 6, 7, 2], [v = 2^(1/2), u = 2, x = 0, 3 < y, z = -y^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [0, 0], [4,
4], [-2, -2]]]], [[10, 18, 6, 7, 3], [v = 2^(1/2), u = 2, x = 0, 3 < y, 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, 7, 4], [v = 2^(1/2), u = 2, x =
0, 3 < y, z = y^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2,
2], [0, 0], [4, 4], [2, 2]]]], [[10, 18, 6, 7, 5], [v = 2^(1/2), u = 2, x = 0,
3 < y, y^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2]
, [0, 0], [4, 4], [3, 3]]]], [[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 < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-5, -5], [-9, -9], [8, 8], [-6, -6]]]], [[11, 1, 3, 8
, 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, 8, 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, 8, 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, 8, 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, 6, 7, 1], [2^(1/2) < v, u =
-v, x = 1, 2 < y, z < -(y-1)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [1, 1]
, [3, 3], [-3, -3]]]], [[11, 6, 6, 7, 2], [2^(1/2) < v, u = -v, x = 1, 2 < y,
z = -(y-1)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [1, 1], [3, 3], [-\
1482911/1048576, -741455/524288]]]], [[11, 6, 6, 7, 3], [2^(1/2) < v, u = -v,
x = 1, 2 < y, 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, 7, 4], [2^(1/2) < v, u = -v,
x = 1, 2 < y, z = (y-1)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [1, 1], [3,
3], [741455/524288, 1482911/1048576]]]], [[11, 6, 6, 7, 5], [2^(1/2) < v, u =
-v, x = 1, 2 < y, (y-1)^(1/2) < z], [regular_chain, [[3, 3], [-3, -3], [1, 1],
[3, 3], [3, 3]]]], [[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-1, z = z], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[11, 14, 2,
2, 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, 2, 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, 2, 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, 3, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,
u < (v^2+2)^(1/2)), 1 < x, And(0 < y,y < x-u^2+v^2+1), z = z], [regular_chain,
[[3, 3], [3396811/1048576, 3396811/1048576], [2, 2], [1579107/2097152, 1579107
/2097152], [0, 0]]]], [[11, 21, 8, 2, 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, 7, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), x < -2, 0 <
y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/
65536], [-3, -3], [1, 1], [-3, -3]]]], [[1, 4, 1, 7, 2], [v < -2^(1/2), u = -(
v^2+1)^(1/2), x < -2, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [-3, -3], [1, 1], [-2, -2]]]], [[1, 4, 1, 7,
3], [v < -2^(1/2), u = -(v^2+1)^(1/2), x < -2, 0 < y, And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [
-3, -3], [1, 1], [0, 0]]]], [[1, 4, 1, 7, 4], [v < -2^(1/2), u = -(v^2+1)^(1/2
), x < -2, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [-3, -3], [1, 1], [2, 2]]]], [[1, 4, 1, 7, 5], [v < -
2^(1/2), u = -(v^2+1)^(1/2), x < -2, 0 < y, (y-x)^(1/2) < z], [regular_chain,
[[-3, -3], [-3315889/1048576, -207243/65536], [-3, -3], [1, 1], [3, 3]]]], [[1
, 6, 1, 1, 1], [v < -2^(1/2), u = v, x < -1, y < x, z = z], [regular_chain, [[
-3, -3], [-3, -3], [-2, -2], [-3, -3], [0, 0]]]], [[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), x-u^2+v^2+1
< y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [1/2, 1/2], [12, 12
], [-5, -5]]]], [[1, 11, 7, 9, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (
v^2-2)^(1/2)), And(0 < x,x < 1), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [0, 0], [1/2, 1/2], [12, 12], [-3555895/1048576, -\
1777947/524288]]]], [[1, 11, 7, 9, 3], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u
< (v^2-2)^(1/2)), And(0 < x,x < 1), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[-3, -3], [0, 0], [1/2, 1/2], [12, 12], [0, 0]
]]], [[1, 11, 7, 9, 4], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2
)), And(0 < x,x < 1), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-3,
-3], [0, 0], [1/2, 1/2], [12, 12], [1777947/524288, 3555895/1048576]]]], [[1,
11, 7, 9, 5], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0
< x,x < 1), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [0,
0], [1/2, 1/2], [12, 12], [5, 5]]]], [[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 <
x), z = z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1/2
, -1/2], [-395403/524288, -395403/524288], [0, 0]]]], [[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 = x-u^2+v
^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [-1062385/4194304, -1062385/4194304], [66399/262144, 265597/
1048576], [-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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)],
[regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1062385/4194304,
-1062385/4194304], [66399/262144, 265597/1048576], [-373161/524288, -1492643/
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 = x-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],
[-1062385/4194304, -1062385/4194304], [66399/262144, 265597/1048576], [-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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)]
, [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1062385/4194304
, -1062385/4194304], [66399/262144, 265597/1048576], [746321/1048576, 373161/
524288]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1062385/4194304, -\
1062385/4194304], [66399/262144, 265597/1048576], [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 < -y^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576
], [0, 0], [4, 4], [-3, -3]]]], [[1, 19, 6, 7, 2], [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 = -y^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [0, 0], [4, 4],
[-2, -2]]]], [[1, 19, 6, 7, 3], [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, 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, 7, 4], [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 = y^(1/2)], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [0, 0], [4, 4], [2, 2]]]], [[1, 19, 6, 7, 5
], [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, y^(1/2) < z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576]
, [0, 0], [4, 4], [3, 3]]]], [[2, 3, 6, 1, 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], [-2, -2], [0, 0]
]]], [[2, 5, 5, 4, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x <
u^2-3), y = x-u^2+3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-6598195/4194304, -6598195/4194304], [-799673/1048576, -\
799673/1048576], [-31113/131072, -248903/1048576], [-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 = x-u^2+3
, z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
-6598195/4194304, -6598195/4194304], [-799673/1048576, -799673/1048576], [-\
31113/131072, -248903/1048576], [-379975/524288, -1519899/2097152]]]], [[2, 5,
5, 4, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x < u^2-3), y = x
-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], [-\
799673/1048576, -799673/1048576], [-31113/131072, -248903/1048576], [-1/
4194304, -1/4194304]]]], [[2, 5, 5, 4, 4], [v = -2^(1/2), And(-3^(1/2) < u,u <
v), And(-1 < x,x < u^2-3), y = x-u^2+3, z = (-u^2+3)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
799673/1048576, -799673/1048576], [-31113/131072, -248903/1048576], [759949/
1048576, 379975/524288]]]], [[2, 5, 5, 4, 5], [v = -2^(1/2), And(-3^(1/2) < u,
u < v), And(-1 < x,x < u^2-3), y = x-u^2+3, (-u^2+3)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-799673/1048576, -799673/1048576], [-31113/131072, -248903/
1048576], [2, 2]]]], [[2, 6, 5, 2, 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, 1, 1], [v
= -2^(1/2), u = -1, x = 0, y < 0, z = z], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1, -1], [0, 0], [-1, -1], [0, 0]]]], [[2, 13, 10, 3, 1], [v
= -2^(1/2), And(1 < u,u < -v), x = 1, And(0 < y,y < 1), z = z], [regular_chain
, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [1,
1], [1/2, 1/2], [0, 0]]]], [[2, 15, 11, 2, 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, 7, 1], [v = -2^(1/2), 2 < u, And(1 < x,x < u^2-3), And(x < y,y < u^2+x-\
1), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3
, 3], [7/2, 7/2], [15/2, 15/2], [-3, -3]]]], [[2, 19, 9, 7, 2], [v = -2^(1/2),
2 < u, And(1 < x,x < u^2-3), And(x < y,y < u^2+x-1), z = -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7/2, 7/2], [15/2,
15/2], [-2, -2]]]], [[2, 19, 9, 7, 3], [v = -2^(1/2), 2 < u, And(1 < x,x < u^2
-3), And(x < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7/2, 7/2], [15/2,
15/2], [0, 0]]]], [[2, 19, 9, 7, 4], [v = -2^(1/2), 2 < u, And(1 < x,x < u^2-3
), And(x < y,y < u^2+x-1), z = (y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [7/2, 7/2], [15/2, 15/2], [2, 2]]]], [[2, 19
, 9, 7, 5], [v = -2^(1/2), 2 < u, And(1 < x,x < u^2-3), And(x < y,y < u^2+x-1)
, (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3
], [7/2, 7/2], [15/2, 15/2], [3, 3]]]], [[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-1, z = z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [
-1/2, -1/2], [-3, -3], [0, 0]]]], [[3, 7, 11, 9, 1], [And(-2^(1/2) < v,v < -1)
, And(v < u,u < -(v^2-1)^(1/2)), 1 < x, x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [5, 5], [-3, -3]]]], [[3, 7, 11, 9, 2], [And(-2^(1/2
) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, x-u^2+v^2+1 < y, z = -(y-
x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [2, 2], [5, 5], [-1816187/1048576, -3632373/
2097152]]]], [[3, 7, 11, 9, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2
-1)^(1/2)), 1 < x, x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[3, 7, 11, 9,
4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, x-u^2+v^2
+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-3949363/4194304, -3949363/4194304], [2, 2], [5, 5], [908093/524288, 
1816187/1048576]]]], [[3, 7, 11, 9, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u
< -(v^2-1)^(1/2)), 1 < x, x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [2
, 2], [5, 5], [3, 3]]]], [[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(0 < y,y < u^2-v^2+x+1), z = z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [2, 2], [
1617841/2097152, 1617841/2097152], [0, 0]]]], [[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 = 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, 6, 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, 6, 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, 6, 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,
6, 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, 9, 1
], [v = -1, u < -3^(1/2), x = 1, u^2+1 < y, z < -(y-1)^(1/2)], [regular_chain,
[[-1, -1], [-3, -3], [1, 1], [11, 11], [-5, -5]]]], [[4, 1, 8, 9, 2], [v = -1,
u < -3^(1/2), x = 1, u^2+1 < y, z = -(y-1)^(1/2)], [regular_chain, [[-1, -1],
[-3, -3], [1, 1], [11, 11], [-3315889/1048576, -207243/65536]]]], [[4, 1, 8, 9
, 3], [v = -1, u < -3^(1/2), x = 1, u^2+1 < y, 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, 9, 4], [v = -1, u < -3^(1/2), x = 1, u^2+1 < y, z = (y-1)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [1, 1], [11, 11], [207243/65536, 3315889/
1048576]]]], [[4, 1, 8, 9, 5], [v = -1, u < -3^(1/2), x = 1, u^2+1 < y, (y-1)^
(1/2) < z], [regular_chain, [[-1, -1], [-3, -3], [1, 1], [11, 11], [5, 5]]]],
[[4, 7, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 1], [v = -1, And(0 < u,u < 1), And(u^2-2 < x,x
< -1), x-u^2+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2],
[-11/8, -11/8], [2, 2], [-3, -3]]]], [[4, 9, 3, 9, 2], [v = -1, And(0 < u,u <
1), And(u^2-2 < x,x < -1), x-u^2+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[-\
1, -1], [1/2, 1/2], [-11/8, -11/8], [2, 2], [-7705429/4194304, -1926357/
1048576]]]], [[4, 9, 3, 9, 3], [v = -1, And(0 < u,u < 1), And(u^2-2 < x,x < -1
), x-u^2+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1,
-1], [1/2, 1/2], [-11/8, -11/8], [2, 2], [0, 0]]]], [[4, 9, 3, 9, 4], [v = -1,
And(0 < u,u < 1), And(u^2-2 < x,x < -1), x-u^2+2 < y, z = (y-x)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-11/8, -11/8], [2, 2], [1926357/1048576
, 963179/524288]]]], [[4, 9, 3, 9, 5], [v = -1, And(0 < u,u < 1), And(u^2-2 <
x,x < -1), x-u^2+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2
], [-11/8, -11/8], [2, 2], [3, 3]]]], [[4, 13, 6, 3, 1], [v = -1, And(2^(1/2)
< u,u < 3^(1/2)), x = 0, And(-u^2+2 < y,y < 0), z = z], [regular_chain, [[-1,
-1], [3299097/2097152, 3299097/2097152], [0, 0], [-497805/2097152, -497805/
2097152], [0, 0]]]], [[4, 15, 3, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 7,
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 < -(y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152,
-1696631/2097152], [-1, -1], [424157/2097152, 424157/2097152], [-3, -3]]]], [[
5, 5, 4, 7, 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 = -(y+1)^(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, 7, 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(-(y+1)^(1/2
) < z,z < (y+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-1, -1], [424157/2097152, 424157/2097152], [0, 0]]]], [[5,
5, 4, 7, 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 = (y+1)^(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, 7, 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), (y+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1, -1],
[424157/2097152, 424157/2097152], [3, 3]]]], [[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 = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [0, 0], [-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 = 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, 6, 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, 6, 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,
6, 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, 5, 6, 1], [And(-1 < v,v < 0), u = -v, And(0 < x,x < 1),
y = x+1, 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, 6, 2], [And(-1 < v,v < 0), u = -v, And(0 < x,x <
1), y = x+1, 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, 6, 3], [And(-1 < v,v < 0), u = -v, And(0 <
x,x < 1), y = x+1, 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, 6, 4], [And(-1 < v,v < 0), u
= -v, And(0 < x,x < 1), y = x+1, 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, 6, 5], [And(-1 < v,v < 0),
u = -v, And(0 < x,x < 1), y = x+1, 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, 5, 1], [And(-1 < v,v <
0), u = (v^2+1)^(1/2), x = 0, 2 < y, z < -y^(1/2)], [regular_chain, [[-1/2, -1
/2], [1172343/1048576, 146543/131072], [0, 0], [3, 3], [-3, -3]]]], [[5, 10, 6
, 5, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = 0, 2 < y, 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, 5, 3], [And(-1 < v,v <
0), u = (v^2+1)^(1/2), x = 0, 2 < y, 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, 5, 4], [And(-1 < v,v < 0), u = (v^2
+1)^(1/2), x = 0, 2 < y, 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, 5, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = 0, 2 < y, y^(1/2
) < z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [0, 0
], [3, 3], [3, 3]]]], [[6, 2, 6, 3, 1], [v = 0, u = -2^(1/2), x = 0, And(-1 <
y,y < 0), z = z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288],
[0, 0], [-1/2, -1/2], [0, 0]]]], [[6, 4, 4, 5, 1], [v = 0, u = -1, x = -1, And
(0 < y,y < 1), z < -(y+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-1, -1],
[1/2, 1/2], [-3, -3]]]], [[6, 4, 4, 5, 2], [v = 0, u = -1, x = -1, And(0 < y,y
< 1), z = -(y+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-1, -1], [1/2, 1/
2], [-1284239/1048576, -642119/524288]]]], [[6, 4, 4, 5, 3], [v = 0, u = -1, x
= -1, And(0 < y,y < 1), And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(1/2)], [regular_chain, [[0, 0],
[-1, -1], [-1, -1], [1/2, 1/2], [642119/524288, 1284239/1048576]]]], [[6, 4, 4
, 5, 5], [v = 0, u = -1, x = -1, And(0 < y,y < 1), (y+1)^(1/2) < z], [
regular_chain, [[0, 0], [-1, -1], [-1, -1], [1/2, 1/2], [3, 3]]]], [[6, 8, 7,
7, 1], [v = 0, u = 1, And(0 < x,x < 1), x+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [1/2, 1/2], [4, 4], [-3, -3]]]], [[6, 8, 7, 7,
2], [v = 0, u = 1, And(0 < x,x < 1), x+2 < y, z = -(y-x)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [1/2, 1/2], [4, 4], [-7846825/4194304, -980853
/524288]]]], [[6, 8, 7, 7, 3], [v = 0, u = 1, And(0 < x,x < 1), x+2 < y, And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [1, 1], [1/2, 1/2]
, [4, 4], [0, 0]]]], [[6, 8, 7, 7, 4], [v = 0, u = 1, And(0 < x,x < 1), x+2 <
y, z = (y-x)^(1/2)], [regular_chain, [[0, 0], [1, 1], [1/2, 1/2], [4, 4], [
980853/524288, 1961707/1048576]]]], [[6, 8, 7, 7, 5], [v = 0, u = 1, And(0 < x
,x < 1), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [1/2, 1/2
], [4, 4], [3, 3]]]], [[6, 10, 5, 5, 1], [v = 0, u = 2^(1/2), And(-1 < x,x < 0
), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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+2), z < -(y-x)^(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, 5, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-1 < x,x <
0), And(0 < y,y < x+2), z = -(y-x)^(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, 5, 3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2),
And(-1 < x,x < 0), And(0 < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 5, 4], [And(0 < v,v < 1), u = -(v^2+1)^(1/2)
, And(-1 < x,x < 0), And(0 < y,y < x+2), z = (y-x)^(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, 5, 5], [And(0 < v,v < 1), u = -
(v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-1/2, -1/2],
[3/4, 3/4], [3, 3]]]], [[7, 6, 5, 1, 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],
[-1, -1], [0, 0]]]], [[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 < 0), z = z], [regular_chain, [[1/2, 1/2], [3, 3],
[1, 1], [-27/8, -27/8], [0, 0]]]], [[8, 2, 3, 2, 1], [v = 1, u = -3^(1/2), And
(-3 < x,x < -1), y = x-1, z = z], [regular_chain, [[1, 1], [-1816187/1048576,
-3632373/2097152], [-2, -2], [-3, -3], [0, 0]]]], [[8, 7, 10, 5, 1], [v = 1, 
And(-1 < u,u < 0), x = 1, And(1 < y,y < u^2+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(1 < y,y < u^2+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(1 < 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], [9/8, 9/8], [0, 0]]]], [[8, 7, 
10, 5, 4], [v = 1, And(-1 < u,u < 0), x = 1, And(1 < y,y < u^2+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(1 < y,y < u^2+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 = x, z < 0], [regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/
2], [1/2, 1/2], [-1, -1]]]], [[8, 9, 9, 4, 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, 4, 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, 9, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x,
u^2+x < y, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [2, 2], [6, 6], [-3, -3]]]], [[8, 13, 11, 9, 2], [v = 1, And
(2^(1/2) < u,u < 3^(1/2)), 1 < x, u^2+x < y, z = -(y-x)^(1/2)], [regular_chain
, [[1, 1], [3299097/2097152, 3299097/2097152], [2, 2], [6, 6], [-2, -2]]]], [[
8, 13, 11, 9, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, u^2+x < y, And(
-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [3299097/2097152,
3299097/2097152], [2, 2], [6, 6], [0, 0]]]], [[8, 13, 11, 9, 4], [v = 1, And(2
^(1/2) < u,u < 3^(1/2)), 1 < x, u^2+x < y, z = (y-x)^(1/2)], [regular_chain, [
[1, 1], [3299097/2097152, 3299097/2097152], [2, 2], [6, 6], [2, 2]]]], [[8, 13
, 11, 9, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, u^2+x < y, (y-x)^(1/
2) < z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [2, 2],
[6, 6], [3, 3]]]], [[8, 15, 8, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 10, 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
+2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [1, 1], [1606915/1048576, 
401729/262144], [-2, -2]]]], [[9, 5, 10, 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+2, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1, 1], [1606915/1048576, 401729/262144], [-1530309/2097152,
-382577/524288]]]], [[9, 5, 10, 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+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], [1606915/1048576, 401729/262144],
[0, 0]]]], [[9, 5, 10, 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+2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [1, 1
], [1606915/1048576, 401729/262144], [382577/524288, 765155/1048576]]]], [[9,
5, 10, 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+2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [1, 1], [1606915/
1048576, 401729/262144], [2, 2]]]], [[9, 7, 11, 1, 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
], [-1, -1], [0, 0]]]], [[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
= z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1812519/
1048576, -1812519/1048576], [-1145915/524288, -2291829/1048576], [0, 0]]]], [[
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 = 0, z < -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-3, -3], [0, 0], [-3, -3]]]], [[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 = 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, 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 = 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, 8,
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, 8, 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, 2, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(
0 < x,x < 1), y = x-1, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [121853/65536, 1949649/1048576], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]]
, [[10, 1, 4, 1, 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], [-8, -8]
, [0, 0]]]], [[10, 5, 3, 3, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-u
^2+1 < x,x < -1), And(x < y,y < x-u^2+3), z < -(y-x)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
1297479/1048576, -1297479/1048576], [-4088377/4194304, -4088377/4194304], [-2,
-2]]]], [[10, 5, 3, 3, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-u^2+1
< x,x < -1), And(x < y,y < x-u^2+3), z = -(y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
1297479/1048576, -1297479/1048576], [-4088377/4194304, -4088377/4194304], [-\
268683/524288, -1074731/2097152]]]], [[10, 5, 3, 3, 3], [v = 2^(1/2), And(-3^(
1/2) < u,u < -v), And(-u^2+1 < x,x < -1), And(x < y,y < x-u^2+3), And(-(y-x)^(
1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576],
[-6598195/4194304, -6598195/4194304], [-1297479/1048576, -1297479/1048576], [-\
4088377/4194304, -4088377/4194304], [-1/4194304, -1/4194304]]]], [[10, 5, 3, 3
, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-u^2+1 < x,x < -1), And(x <
y,y < x-u^2+3), z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [-1297479/1048576, -1297479/
1048576], [-4088377/4194304, -4088377/4194304], [537365/1048576, 268683/524288
]]]], [[10, 5, 3, 3, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-u^2+1 <
x,x < -1), And(x < y,y < x-u^2+3), (y-x)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1297479/
1048576, -1297479/1048576], [-4088377/4194304, -4088377/4194304], [2, 2]]]], [
[10, 7, 3, 7, 1], [v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), And
(0 < y,y < x-u^2+3), z < -(y-x)^(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, 7, 2]
, [v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), And(0 < y,y < x-u^2
+3), z = -(y-x)^(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
, 7, 3], [v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), And(0 < y,y
< x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 4], [v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), And(0 < y,y
< x-u^2+3), z = (y-x)^(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,
7, 5], [v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), And(0 < y,y <
x-u^2+3), (y-x)^(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, 6, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 3, 1], [v = 2^(1/2),
u = v, And(0 < x,x < 1), And(0 < y,y < x), z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [741455/524288, 1482911/1048576], [1/2, 1/2], [1/4,
1/4], [0, 0]]]], [[11, 2, 3, 2, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-3 <
x,x < -1), y = x-1, z = z], [regular_chain, [[3, 3], [-1738867/524288, -\
3477733/1048576], [-2, -2], [-3, -3], [0, 0]]]], [[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 < 0, z = z], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [2, 2], [-1, -1]
, [0, 0]]]], [[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 = 0, z = z], [regular_chain, [[3, 3],
[-22960369/8388608, -22960369/8388608], [395403/524288, 395403/524288], [0, 0]
, [0, 0]]]], [[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 = x-u^2+v^2+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, 8, 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-u^2+v^2+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, 8, 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-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], [-1/2, -1/2], [19/2, 19/2], [0, 0]]]
], [[11, 11, 5, 8, 4], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2))
, And(-1 < x,x < 0), y = x-u^2+v^2+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, 8, 5], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2))
, And(-1 < x,x < 0), y = x-u^2+v^2+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, 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(x <
y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-391287/524288, -391287/524288], [-1048577/2097152
, -1048577/2097152], [-2, -2]]]], [[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(x < y,y < u^2-v^2+x+1), z
= -(y-x)^(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, 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(x < y,y < u^2-v^2+x+1), 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-391287/524288, -391287/524288], [-1048577/2097152
, -1048577/2097152], [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(x < y,y < u^2-v^2+x+1), z =
(y-x)^(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, 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(x < y,y < u^2-v^2+x+1), (y-x)^(1/2
) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-391287/
524288, -391287/524288], [-1048577/2097152, -1048577/2097152], [2, 2]]]], [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3
], [403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [
388037/1048576, 388037/1048576], [-3, -3]]]], [[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(0 < y,y < u^2-v
^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-1579769/2097152, -1579769/2097152], [388037/1048576, 388037/1048576
], [-1111369/1048576, -138921/131072]]]], [[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(0 < y,y < u^2-v^2
+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [388037/
1048576, 388037/1048576], [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(0 < y,y < u^2-v^2+x+1), z
= (y-x)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-\
1579769/2097152, -1579769/2097152], [388037/1048576, 388037/1048576], [138921/
131072, 1111369/1048576]]]], [[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(0 < y,y < u^2-v^2+x+1), (y-x)^(1
/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1579769/
2097152, -1579769/2097152], [388037/1048576, 388037/1048576], [3, 3]]]], [[1,
1, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 = x-
u^2+v^2+1, z = z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [-915943/524288, -915943/524288], [-2349931/1048576, -1174965/524288
], [0, 0]]]], [[1, 8, 9, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 2, 1], [v < -2^(1/2)
, u = -(v^2-2)^(1/2), And(0 < x,x < 1), y = x-1, z = z], [regular_chain, [[-3,
-3], [-5548543/2097152, -2774271/1048576], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]]
, [[1, 14, 4, 6, 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, 6, 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,
6, 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, 6, 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, 6
, 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, 7, 1], [v < -2^(1/2), u = -v, And(-1 < x,x < 0), x+1 <
y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [-1/2, -1/2], [2, 2],
[-3, -3]]]], [[1, 16, 3, 7, 2], [v < -2^(1/2), u = -v, And(-1 < x,x < 0), x+1
< y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [-1/2, -1/2], [2, 2
], [-3315889/2097152, -207243/131072]]]], [[1, 16, 3, 7, 3], [v < -2^(1/2), u
= -v, And(-1 < x,x < 0), x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-3, -3], [3, 3], [-1/2, -1/2], [2, 2], [0, 0]]]], [[1, 16, 3,
7, 4], [v < -2^(1/2), u = -v, And(-1 < x,x < 0), x+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [3, 3], [-1/2, -1/2], [2, 2], [207243/131072, 
1657945/1048576]]]], [[1, 16, 3, 7, 5], [v < -2^(1/2), u = -v, And(-1 < x,x <
0), x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [3, 3], [-1/2, -1/2]
, [2, 2], [3, 3]]]], [[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 < -(y-x)^(1/2)], [regular_chain, [[-3
, -3], [5, 5], [8, 8], [26, 26], [-6, -6]]]], [[1, 21, 9, 9, 2], [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 = -(y-x)^(1/
2)], [regular_chain, [[-3, -3], [5, 5], [8, 8], [26, 26], [-1112183/262144, -\
4448731/1048576]]]], [[1, 21, 9, 9, 3], [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, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[-3, -3], [5, 5], [8, 8], [26, 26], [0, 0]]]], [[1, 21, 9, 9,
4], [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 = (y-x)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [8, 8], [26, 26], [
4448731/1048576, 1112183/262144]]]], [[1, 21, 9, 9, 5], [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, (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [5, 5], [8, 8], [26, 26], [6, 6]]]], [[2, 2, 5, 3, 1
], [v = -2^(1/2), u = -2, And(-1 < x,x < 0), And(x-1 < y,y < x), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-1/2, -1/2], [-\
1, -1], [0, 0]]]], [[2, 9, 7, 7, 1], [v = -2^(1/2), And(-1 < u,u < 0), And(0 <
x,x < -u^2+1), And(x < y,y < x-u^2+3), z < -(y-x)^(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, 7, 2], [v = -2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+
1), And(x < y,y < x-u^2+3), z = -(y-x)^(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, 7, 3], [v = -2^(1/2), And(-1 < u,u < 0
), And(0 < x,x < -u^2+1), And(x < y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-
x)^(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, 7, 4], [v = -2^(1/2), And(-1 < u
,u < 0), And(0 < x,x < -u^2+1), And(x < y,y < x-u^2+3), z = (y-x)^(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, 7, 5], [v = -2^(1/
2), And(-1 < u,u < 0), And(0 < x,x < -u^2+1), And(x < y,y < x-u^2+3), (y-x)^(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, 5, 1, 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], [-3, -3], [0, 0]]]], [[2,
17, 2, 7, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, 0 < y, 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, 7, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, 0
< y, 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, 7, 3], [v = -2^(1/2),
And(3^(1/2) < u,u < 2), x = -u^2+1, 0 < y, 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, 7, 4], [v = -2^(1/2), And(3^(1/2) < u,u <
2), x = -u^2+1, 0 < y, 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, 7,
5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, 0 < y, (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, 9, 3, 1], [v = -2^(1/2), u = 2, 1 < x, And(0 < y,y < x-1), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [2, 2], [1/2, 1/2]
, [0, 0]]]], [[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 < -(u^2-v^2+1)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [-1/2, -1/2], [2074829/1048576, 1037415/524288],
[-3, -3]]]], [[3, 3, 5, 8, 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], [2074829/1048576, 1037415/524288],
[-3301741/2097152, -825435/524288]]]], [[3, 3, 5, 8, 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], [2074829/1048576, 1037415/524288], [0, 0]]]], [[3, 3, 5, 8, 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], [2074829/1048576, 1037415/524288], [825435/524288, 1650871/1048576]]]], [[
3, 3, 5, 8, 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], [2074829/1048576, 1037415/524288], [3, 3]]]],
[[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 = x, z < 0], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/4194304, -\
3213831/4194304], [-3213831/4194304, -3213831/4194304], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/
4194304], [-3213831/4194304, -3213831/4194304], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/4194304], [-\
3213831/4194304, -3213831/4194304], [1, 1]]]], [[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 < x
, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [-5390713/4194304, -5390713/4194304], [-3, -3], [0,
0]]]], [[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), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-2587387/2097152, -2587387/2097152], [2, 2], [-3, -3]]]], [
[3, 13, 3, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,
z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [-2587387/2097152, -2587387/2097152], [2, 2
], [0, 0]]]], [[3, 13, 3, 9, 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), u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, (y-x)^
(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-2587387/2097152, -2587387/2097152], [2, 2], [3, 3
]]]], [[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, 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, 2, 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, 2, 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, 1, 8, 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, 8,
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, 8, 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, 8, 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, 8, 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, 3, 11, 9, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)),
1 < x, u^2+x < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [2, 2], [6, 6], [-3, -3]]]], [[4, 3, 11, 9, 2], [v
= -1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, u^2+x < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [2, 2], [6, 6]
, [-2, -2]]]], [[4, 3, 11, 9, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), 1 <
x, u^2+x < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1
], [-6598195/4194304, -6598195/4194304], [2, 2], [6, 6], [0, 0]]]], [[4, 3, 11
, 9, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, u^2+x < y, z = (y-x)^
(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [2, 2
], [6, 6], [2, 2]]]], [[4, 3, 11, 9, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2
)), 1 < x, u^2+x < y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [2, 2], [6, 6], [3, 3]]]], [[4, 5, 11, 3, 1], [v =
-1, And(-2^(1/2) < u,u < -1), 1 < x, And(0 < y,y < x), z = z], [regular_chain,
[[-1, -1], [-1265743/1048576, -1265743/1048576], [2, 2], [1, 1], [0, 0]]]], [[
4, 10, 3, 3, 1], [v = -1, u = 1, And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-
x)^(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(x < y,y < 0)
, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [-1/2, -1/2], [-1/4, -\
1/4], [-1/2, -1/2]]]], [[4, 10, 3, 3, 3], [v = -1, u = 1, And(-1 < x,x < 0), 
And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1
, -1], [1, 1], [-1/2, -1/2], [-1/4, -1/4], [0, 0]]]], [[4, 10, 3, 3, 4], [v =
-1, u = 1, And(-1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(1/2)], [
regular_chain, [[-1, -1], [1, 1], [-1/2, -1/2], [-1/4, -1/4], [1/2, 1/2]]]], [
[4, 10, 3, 3, 5], [v = -1, u = 1, And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(
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 = 0, z < -1], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1, -1], [0,
0], [-2, -2]]]], [[5, 2, 4, 6, 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, 6, 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, 6, 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, 6, 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, 4, 2, 2, 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, 2, 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, 2, 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, 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 = 0, z = z], [regular_chain, [[-1/2, -1
/2], [343151/262144, 343151/262144], [243021/524288, 486043/1048576], [0, 0],
[0, 0]]]], [[5, 13, 5, 5, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-1 <
x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(
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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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(0 < y,y < x-u^2+1), z < -(y-x)^(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(0 < y,y <
x-u^2+1), z = -(y-x)^(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(0 < y,y < x-u^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(
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(0
< y,y < x-u^2+1), z = (y-x)^(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(0 < y,y < x-u^2+1), (y-x)^(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 = z], [
regular_chain, [[0, 0], [3, 3], [0, 0], [-4, -4], [0, 0]]]], [[7, 2, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 1], [And(0 <
v,v < 1), And(-v < u,u < v), x = 0, And(0 < y,y < u^2-v^2+1), z < -y^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [0, 0], [3/8, 3/8], [-2, -2]]]], [[7, 7, 8
, 3, 2], [And(0 < v,v < 1), And(-v < u,u < v), x = 0, And(0 < y,y < u^2-v^2+1)
, 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, 3, 3], [And(0 < v,v < 1), And
(-v < u,u < v), x = 0, And(0 < 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], [3/8, 3/8], [0, 0]]]], [[7, 7,
8, 3, 4], [And(0 < v,v < 1), And(-v < u,u < v), x = 0, And(0 < y,y < u^2-v^2+1
), 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, 3, 5], [And(0 < v,v < 1), And(-v
< u,u < v), x = 0, And(0 < y,y < u^2-v^2+1), y^(1/2) < z], [regular_chain, [[1
/2, 1/2], [0, 0], [0, 0], [3/8, 3/8], [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 = 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, 4, 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, 4, 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, 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 = x-u^2+v^2+1, z = z],
[regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-4, -4], [-\
4680347/1048576, -2340173/524288], [0, 0]]]], [[7, 12, 7, 1, 1], [And(0 < v,v
< 1), u = (v^2+2)^(1/2), And(0 < x,x < 1), y < x-1, z = z], [regular_chain, [[
1/2, 1/2], [3/2, 3/2], [1/2, 1/2], [-2, -2], [0, 0]]]], [[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 < 0, z = z], [regular_chain, [[1, 1], [-1, -1], [2, 2], [-1, -1], [
0, 0]]]], [[8, 11, 3, 1, 1], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x <
-1), y < x, z = z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576
], [-1288231/1048576, -1288231/1048576], [-3, -3], [0, 0]]]], [[8, 13, 1, 7, 1
], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, And(u^2+x < y,y < 0), z < -
(y-x)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-4
, -4], [-799673/1048576, -799673/1048576], [-3, -3]]]], [[8, 13, 1, 7, 2], [v
= 1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, And(u^2+x < y,y < 0), z = -(y-x)^
(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-4, -4],
[-799673/1048576, -799673/1048576], [-3773343/2097152, -7546685/4194304]]]], [
[8, 13, 1, 7, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, And(u^2+x <
y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [-4, -4], [-799673/1048576, -799673/1048576
], [-1/8388608, -1/8388608]]]], [[8, 13, 1, 7, 4], [v = 1, And(2^(1/2) < u,u <
3^(1/2)), x < -u^2, And(u^2+x < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[
1, 1], [3299097/2097152, 3299097/2097152], [-4, -4], [-799673/1048576, -799673
/1048576], [1886671/1048576, 117917/65536]]]], [[8, 13, 1, 7, 5], [v = 1, And(
2^(1/2) < u,u < 3^(1/2)), x < -u^2, And(u^2+x < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-4, -4], [-799673
/1048576, -799673/1048576], [3, 3]]]], [[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(x < y,y <
u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-4, -4], [-11578981/4194304
, -11578981/4194304], [-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(x < y,y < u^2-
v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-4, -4], [-11578981/4194304
, -11578981/4194304], [-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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [-11578981/4194304, -11578981/4194304], [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(x < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [-11578981/4194304, -11578981/4194304], [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(x < y,y < u^2-v^2+x+1
), (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-4, -4], [-11578981/4194304, -11578981/
4194304], [3, 3]]]], [[9, 4, 9, 2, 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, 12, 1,
1, 1], [And(1 < v,v < 2^(1/2)), u = v, x < -1, y < x, z = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-2,
-2], [-3, -3], [0, 0]]]], [[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 < 0), z < -(y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-3, -3],
[-1/2, -1/2], [-3, -3]]]], [[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 < 0), z = -(y-x)^(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, 5, 3], [And(1
< v,v < 2^(1/2)), u = (v^2+1)^(1/2), x < -2, And(x+2 < y,y < 0), And(-(y-x)^(1
/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [1643659/1048576, 410915/262144], [-3, -3], [-1/2, -1/2], [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
< 0), z = (y-x)^(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, 5, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(
1/2), x < -2, And(x+2 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-3, -3], [-1/2,
-1/2], [3, 3]]]], [[10, 2, 3, 3, 1], [v = 2^(1/2), u = -2, And(-3 < x,x < -1),
And(x-1 < y,y < x), z = z], [regular_chain, [[741455/524288, 1482911/1048576],
[-2, -2], [-2, -2], [-5/2, -5/2], [0, 0]]]], [[10, 3, 11, 2, 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, 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+3, z < -3^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [0, 0], [-4, -4], [-1, -1], [-3, -3]]]], [[
10, 10, 1, 6, 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, 6, 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, 6, 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, 6, 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, 9, 2, 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, 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-1, z < -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [505467/
2097152, 505467/2097152], [356919/131072, 2855353/1048576], [-3, -3]]]], [[10,
17, 7, 8, 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], [
356919/131072, 2855353/1048576], [-825991/524288, -3303963/2097152]]]], [[10,
17, 7, 8, 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], [356919/131072, 2855353/1048576], [-1/4194304, -1/4194304]]]]
, [[10, 17, 7, 8, 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]
, [356919/131072, 2855353/1048576], [1651981/1048576, 825991/524288]]]], [[10,
17, 7, 8, 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], [
356919/131072, 2855353/1048576], [3, 3]]]], [[10, 18, 7, 1, 1], [v = 2^(1/2),
u = 2, And(0 < x,x < 1), y < x-1, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [2, 2], [1/2, 1/2], [-2, -2], [0, 0]]]], [[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 < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-9, -9], [9, 9], [-6, -\
6]]]], [[11, 1, 3, 9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-5, -5
], [-9, -9], [9, 9], [-1112183/262144, -4448731/1048576]]]], [[11, 1, 3, 9, 3]
, [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, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-5, -5],
[-9, -9], [9, 9], [0, 0]]]], [[11, 1, 3, 9, 4], [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 = (y-x)^(1/2)], [
regular_chain, [[3, 3], [-5, -5], [-9, -9], [9, 9], [4448731/1048576, 1112183/
262144]]]], [[11, 1, 3, 9, 5], [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, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-5
, -5], [-9, -9], [9, 9], [6, 6]]]], [[11, 6, 6, 6, 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, 6, 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, 6,
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, 6, 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, 6, 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, 7, 3, 1]
, [2^(1/2) < v, u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(0 < y,y < x), z = z]
, [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [1/2, 1/2],
[1/4, 1/4], [0, 0]]]], [[11, 12, 5, 2, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), 
And(-1 < x,x < 0), y = x-1, z = z], [regular_chain, [[3, 3], [2774271/1048576,
10837/4096], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[11, 14, 2, 3, 1], [2^(1/
2) < v, u = (v^2-1)^(1/2), x = -2, And(-2 < y,y < 0), z < -(y+2)^(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(
-2 < y,y < 0), z = -(y+2)^(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(-2 < y,y < 0), And(-(y+2)^(1/2) < z,z <
(y+2)^(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(-2 < y,y < 0), z = (y+2)^(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(-2 < y,y < 0), (y+2)^(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 = 0, z = z], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [2, 2], [0, 0], [0, 0]]]], [[11, 21, 8, 1, 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], [-15, -15], [0, 0]]]], [[1, 4, 2, 3, 1], [v < -2^(1/2), u = -(v^2+
1)^(1/2), x = -2, And(-2 < y,y < 0), z < -(y+2)^(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(-2 < y,y < 0), z =
-(y+2)^(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(-2 < y,y < 0), And(-(y+2)^(1/2) < z,z < (y+2)^(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
(-2 < y,y < 0), z = (y+2)^(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(-2 < y,y < 0), (y+2)^(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, u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-403851
/131072, -403851/131072], [2, 2], [5, 5], [-3, -3]]]], [[1, 5, 11, 9, 2], [v <
-2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, u^2-v^2+x+1 < y, z = -(y-x)^(1
/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [2, 2], [5,
5], [-1816187/1048576, -3632373/2097152]]]], [[1, 5, 11, 9, 3], [v < -2^(1/2),
And(-(v^2+1)^(1/2) < u,u < v), 1 < x, u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072],
[2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[1, 5, 11, 9, 4], [v < -2^(1/2),
And(-(v^2+1)^(1/2) < u,u < v), 1 < x, u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [2, 2], [5, 5], [
908093/524288, 1816187/1048576]]]], [[1, 5, 11, 9, 5], [v < -2^(1/2), And(-(v^
2+1)^(1/2) < u,u < v), 1 < x, u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [2, 2], [5, 5], [3
, 3]]]], [[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 = z], [regular_chain, [[-3, -3], [0, 0], [1, 1
], [-8, -8], [0, 0]]]], [[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 < -(y+1)^(1/2)], [regular_chain,
[[-3, -3], [1435023/524288, 1435023/524288], [-1, -1], [3, 3], [-3, -3]]]], [[
1, 13, 4, 9, 2], [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 = -(y+1)^(1/2)], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [-1, -1], [3, 3], [-2, -2]]]], [[1, 13, 4, 9, 3], [v
< -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, -u^2+v^2 < y, 
And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [-1, -1], [3, 3], [0, 0]]]], [[1, 13, 4, 9, 4], [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 =
(y+1)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1
, -1], [3, 3], [2, 2]]]], [[1, 13, 4, 9, 5], [v < -2^(1/2), And((v^2-2)^(1/2)
< u,u < (v^2-1)^(1/2)), x = -1, -u^2+v^2 < y, (y+1)^(1/2) < z], [regular_chain
, [[-3, -3], [1435023/524288, 1435023/524288], [-1, -1], [3, 3], [3, 3]]]], [[
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), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-1062385/4194304, -1062385/4194304], [3, 3], [
-3, -3]]]], [[1, 17, 7, 9, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 
And(u^2-v^2-1 < x,x < 0), u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain,
[[-3, -3], [403851/131072, 403851/131072], [-1062385/4194304, -1062385/4194304
], [3, 3], [-7565219/4194304, -3782609/2097152]]]], [[1, 17, 7, 9, 3], [v < -2
^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), u^2-v^2+x+1 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-1062385/4194304, -1062385/4194304], [3, 3], [-1/
4194304, -1/4194304]]]], [[1, 17, 7, 9, 4], [v < -2^(1/2), And(-v < u,u < (v^2
+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1062385/4194304, -\
1062385/4194304], [3, 3], [236413/131072, 1891305/1048576]]]], [[1, 17, 7, 9,
5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), u^
2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [-1062385/4194304, -1062385/4194304], [3, 3], [3, 3]]]], [[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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [0, 0], [653799/262144, 2615197/1048576], [-3, -3]]
]], [[1, 19, 6, 6, 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], [653799/262144, 2615197/1048576], [
-1655969/1048576, -3311937/2097152]]]], [[1, 19, 6, 6, 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], [653799/262144, 2615197/1048576], [-1/4194304, -1/
4194304]]]], [[1, 19, 6, 6, 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], [653799/262144, 2615197/
1048576], [51749/32768, 1655969/1048576]]]], [[1, 19, 6, 6, 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
], [653799/262144, 2615197/1048576], [3, 3]]]], [[2, 3, 6, 2, 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]
, [-126367/262144, -505467/1048576], [0, 0]]]], [[2, 5, 5, 1, 1], [v = -2^(1/2
), And(-3^(1/2) < u,u < v), And(-1 < x,x < u^2-3), y < x, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-799673/1048576, -799673/1048576], [-2, -2], [0, 0]]]], [[2
, 6, 5, 5, 1], [v = -2^(1/2), u = v, And(0 < x,x < 1), And(x < y,y < x+1), z <
-(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/
1048576, -741455/524288], [1/2, 1/2], [1, 1], [-2, -2]]]], [[2, 6, 5, 5, 2], [
v = -2^(1/2), u = v, And(0 < x,x < 1), And(x < y,y < x+1), z = -(y-x)^(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, 5, 3], [v = -2^(1/2), u = v, And(0 < x,x < 1), And(x < y,y < x+1), 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1482911/1048576, -741455/524288], [1/2, 1/2], [1, 1], [0, 0]
]]], [[2, 6, 5, 5, 4], [v = -2^(1/2), u = v, And(0 < x,x < 1), And(x < y,y < x
+1), z = (y-x)^(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, 5, 5], [v = -2^(1/2), u = v, And(0 < x,x < 1), And(x < y
,y < x+1), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1482911/1048576, -741455/524288], [1/2, 1/2], [1, 1], [2, 2]]]], [[
2, 8, 5, 7, 1], [v = -2^(1/2), u = -1, And(-1 < x,x < 0), x+2 < y, z < -(y-x)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1/2,
-1/2], [3, 3], [-3, -3]]]], [[2, 8, 5, 7, 2], [v = -2^(1/2), u = -1, And(-1 <
x,x < 0), x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1, -1], [-1/2, -1/2], [3, 3], [-7846825/4194304, -980853/
524288]]]], [[2, 8, 5, 7, 3], [v = -2^(1/2), u = -1, And(-1 < x,x < 0), x+2 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1, -1], [-1/2, -1/2], [3, 3], [0, 0]]]], [[2, 8, 5, 7, 4],
[v = -2^(1/2), u = -1, And(-1 < x,x < 0), x+2 < y, z = (y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1/2, -1/2], [3
, 3], [980853/524288, 1961707/1048576]]]], [[2, 8, 5, 7, 5], [v = -2^(1/2), u
= -1, And(-1 < x,x < 0), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911
/1048576, -741455/524288], [-1, -1], [-1/2, -1/2], [3, 3], [3, 3]]]], [[2, 13,
10, 4, 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, 4, 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, 4, 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, 10, 8, 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],
[2594957/1048576, 1297479/524288], [-3, -3]]]], [[2, 15, 10, 8, 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], [2594957/1048576, 1297479/524288], [-1273381/1048576, -\
318345/262144]]]], [[2, 15, 10, 8, 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],
[2594957/1048576, 1297479/524288], [0, 0]]]], [[2, 15, 10, 8, 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], [2594957/1048576, 1297479/524288], [318345/262144, 1273381/1048576]]]], [[
2, 15, 10, 8, 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], [2594957/1048576, 1297479/524288], [3, 3]]]
], [[2, 19, 10, 1, 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], [-1, -1],
[0, 0]]]], [[3, 2, 4, 9, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x
= -1, 2 < y, z < -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-1, -1], [3, 3], [-3, -3]]]],
[[3, 2, 4, 9, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -1, 2 < y
, z = -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [-1, -1], [3, 3], [-2, -2]]]], [[3, 2, 4,
9, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -1, 2 < y, And(-(y+1
)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-1, -1], [3, 3], [0, 0]]]], [
[3, 2, 4, 9, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -1, 2 < y,
z = (y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [-1, -1], [3, 3], [2, 2]]]], [[3, 2, 4, 9,
5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -1, 2 < y, (y+1)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152
, -7798593/4194304], [-1, -1], [3, 3], [3, 3]]]], [[3, 8, 1, 1, 1], [And(-2^(1
/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -2, y < x, z = z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-3,
-3], [-4, -4], [0, 0]]]], [[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, -u^2+v^2+2 < y, z < -(y-1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1, 1], [5, 5],
[-3, -3]]]], [[3, 9, 10, 9, 2], [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+2 < y, z = -(y-1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1, 1], [5, 5],
[-2, -2]]]], [[3, 9, 10, 9, 3], [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+2 < y, 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, 9, 4], [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+2 < y, z = (y-1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1, 1], [5, 5],
[2, 2]]]], [[3, 9, 10, 9, 5], [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+2 < y, (y-1)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [0, 0], [1, 1], [5, 5], [3, 3]]]], [[3,
17, 2, 7, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, 0
< y, 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, 7, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1,
0 < y, 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, 7, 3], [And(-2^(1/2) < v,v < -1), (v^2
+2)^(1/2) < u, x = -u^2+v^2-1, 0 < y, 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, 7, 4], [
And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, 0 < y, 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, 7, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -u^2+v
^2-1, 0 < y, (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, 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, 8, 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, 8, 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, 7, 4, 9, 1], [v = -1, And(-1 < u,u < 0), x = -1, -u^2+1 < y, z < -(
y+1)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [2, 2], [-3, -\
3]]]], [[4, 7, 4, 9, 2], [v = -1, And(-1 < u,u < 0), x = -1, -u^2+1 < y, z = -
(y+1)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [2, 2], [-\
1816187/1048576, -3632373/2097152]]]], [[4, 7, 4, 9, 3], [v = -1, And(-1 < u,u
< 0), x = -1, -u^2+1 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [2, 2], [-1/4194304, -1/
4194304]]]], [[4, 7, 4, 9, 4], [v = -1, And(-1 < u,u < 0), x = -1, -u^2+1 < y,
z = (y+1)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [2, 2], [
908093/524288, 1816187/1048576]]]], [[4, 7, 4, 9, 5], [v = -1, And(-1 < u,u <
0), x = -1, -u^2+1 < y, (y+1)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1
/2], [-1, -1], [2, 2], [3, 3]]]], [[4, 9, 3, 8, 1], [v = -1, And(0 < u,u < 1),
And(u^2-2 < x,x < -1), y = x-u^2+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, 8, 2],
[v = -1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), y = x-u^2+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, 8, 3], [v = -1, And(0 < u,u < 1),
And(u^2-2 < x,x < -1), y = x-u^2+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, 8, 4], [v = -1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), y = x-
u^2+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, 8, 5], [v = -1,
And(0 < u,u < 1), And(u^2-2 < x,x < -1), y = x-u^2+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, 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(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z =
-(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z
= (y-x)^(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(x < y,y < 0), (y-x)^(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 < x, z =
z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-\
1672995/2097152, -1672995/2097152], [-2, -2], [0, 0]]]], [[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(u^2-v^2+
x+1 < y,y < 0), z < -(y-x)^(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(u^2-v^2+x+1 < y,y < 0), z =
-(y-x)^(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(u^2-v^2+x+1 < y,y < 0
), And(-(y-x)^(1/2) < z,z < (y-x)^(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(u^2
-v^2+x+1 < y,y < 0), z = (y-x)^(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(u
^2-v^2+x+1 < y,y < 0), (y-x)^(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), x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1/
2, -1/2], [1/2, 1/2], [1/2, 1/2], [3, 3], [-3, -3]]]], [[5, 8, 5, 7, 2], [And(
-1 < v,v < 0), u = -v, And(0 < x,x < 1), x+1 < y, z = -(y-x)^(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, 7, 3], [And(-1 < v,v < 0), u = -v, And
(0 < x,x < 1), x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[-1/2, -1/2], [1/2, 1/2], [1/2, 1/2], [3, 3], [0, 0]]]], [[5, 8, 5, 7, 4],
[And(-1 < v,v < 0), u = -v, And(0 < x,x < 1), x+1 < y, z = (y-x)^(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, 7, 5], [And(-1 < v,v < 0), u = -v, And(0 < x,x
< 1), x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1
/2, 1/2], [3, 3], [3, 3]]]], [[5, 10, 6, 2, 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, 2, 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, 2,
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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 <
0, z = z], [regular_chain, [[0, 0], [1, 1], [1, 1], [-1, -1], [0, 0]]]], [[6,
10, 5, 2, 1], [v = 0, u = 2^(1/2), And(-1 < x,x < 0), y = x-1, z = z], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1/2, -1/2], [-3/2,
-3/2], [0, 0]]]], [[7, 4, 6, 1, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x =
0, y < 0, z = z], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/
1048576], [0, 0], [-1, -1], [0, 0]]]], [[7, 6, 4, 5, 1], [And(0 < v,v < 1), u
= -v, x = 0, 1 < y, z < -y^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2],
[0, 0], [2, 2], [-3, -3]]]], [[7, 6, 4, 5, 2], [And(0 < v,v < 1), u = -v, x =
0, 1 < y, 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, 5, 3], [And(0 < v,v <
1), u = -v, x = 0, 1 < y, 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, 5, 4], [And(0 < v
,v < 1), u = -v, x = 0, 1 < y, 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, 5, 5
], [And(0 < v,v < 1), u = -v, x = 0, 1 < y, y^(1/2) < z], [regular_chain, [[1/
2, 1/2], [-1/2, -1/2], [0, 0], [2, 2], [3, 3]]]], [[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 = z], [regular_chain, [[
1/2, 1/2], [3, 3], [1, 1], [-27/4, -27/4], [0, 0]]]], [[8, 2, 3, 5, 1], [v = 1
, u = -3^(1/2), And(-3 < x,x < -1), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) <
z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-
x)^(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 = 0, z = z], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [0, 0], [0,
0]]]], [[8, 9, 9, 5, 1], [v = 1, And(0 < u,u < 1), And(0 < x,x < 1), And(x < y
,y < u^2+x), z < -(y-x)^(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(x < y,y < u^2+x), z = -(y-x)^(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(x < y,y < u^2+x),
And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2+x), z = (y-x)^(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(x < y,y < u^2+x
), (y-x)^(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 = u^2+x, z < -u], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [2, 2], [4692109/1048576, 2346055/524288], [-3, -3]]]], [[8, 13, 11,
8, 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], [4692109/
1048576, 2346055/524288], [-3299097/2097152, -3299097/2097152]]]], [[8, 13, 11
, 8, 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], [
4692109/1048576, 2346055/524288], [-1/4194304, -1/4194304]]]], [[8, 13, 11, 8,
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], [4692109/
1048576, 2346055/524288], [412387/262144, 1649549/1048576]]]], [[8, 13, 11, 8,
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], [4692109/
1048576, 2346055/524288], [3, 3]]]], [[8, 15, 9, 2, 1], [v = 1, 3^(1/2) < u, 
And(1 < x,x < u^2-2), y = x-u^2+2, z = z], [regular_chain, [[1, 1], [3, 3], [4
, 4], [-3, -3], [0, 0]]]], [[9, 5, 10, 3, 1], [And(1 < v,v < 2^(1/2)), And(-(v
^2+1)^(1/2) < u,u < -v), x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [1, 1
], [1/2, 1/2], [0, 0]]]], [[9, 7, 11, 2, 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, 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 = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1812519/1048576,
-1812519/1048576], [-4, -4], [0, 0]]]], [[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 = u^2-v^2-1, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-1646781/1048576, -3293561/2097152], [-1646781/1048576, -3293561/
2097152], [-1, -1]]]], [[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 = u^2-v^2-1, z = 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-1646781
/1048576, -3293561/2097152], [-1646781/1048576, -3293561/2097152], [0, 0]]]],
[[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 = u^2-v^2-1, 0 < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-1646781/1048576, -3293561/
2097152], [-1646781/1048576, -3293561/2097152], [1, 1]]]], [[9, 16, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6,
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]]]], [[10, 1, 4, 2, 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, 3, 2, 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, 2, 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, 2, 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, 1, 1], [v = 2^(1/2), And(-v < u,u < -1), x =
-1, y < -1, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [-2, -2], [0, 0]]]], [[10, 12, 6
, 1, 1], [v = 2^(1/2), u = 1, x = 0, y < 0, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [0, 0], [-1, -1], [0, 0]]]], [[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 = 0, z < -3^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -\
3477733/1048576], [-3, -3], [0, 0], [-3, -3]]]], [[11, 2, 2, 6, 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, 6, 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, 6, 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, 6, 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, 11, 2, 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, 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 < 0, z = z], [regular_chain, [[3, 3], [
-22960369/8388608, -22960369/8388608], [395403/524288, 395403/524288], [-1, -1
], [0, 0]]]], [[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 = z], [regular_chain, [[3, 3], [0, 0], [0
, 0], [-8, -8], [0, 0]]]], [[11, 15, 4, 9, 1], [2^(1/2) < v, And((v^2-1)^(1/2)
< u,u < v), x = -1, -u^2+v^2 < y, z < -(y+1)^(1/2)], [regular_chain, [[3, 3],
[6111549/2097152, 6111549/2097152], [-1, -1], [2, 2], [-3, -3]]]], [[11, 15, 4
, 9, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, -u^2+v^2 < y, z =
-(y+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-\
1, -1], [2, 2], [-1816187/1048576, -3632373/2097152]]]], [[11, 15, 4, 9, 3], [
2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, -u^2+v^2 < y, And(-(y+1)^(1
/2) < z,z < (y+1)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-1, -1], [2, 2], [-1/4194304, -1/4194304]]]], [[11, 15, 4, 9, 4], [
2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, -u^2+v^2 < y, z = (y+1)^(1/
2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-1, -1], [2
, 2], [908093/524288, 1816187/1048576]]]], [[11, 15, 4, 9, 5], [2^(1/2) < v, 
And((v^2-1)^(1/2) < u,u < v), x = -1, -u^2+v^2 < y, (y+1)^(1/2) < z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-1, -1], [2, 2],
[3, 3]]]], [[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 = 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], [388037/524288, 776075/1048576], [-3, -3]]]], [[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
= 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], [388037/524288,
776075/1048576], [-1281417/1048576, -160177/131072]]]], [[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 = u^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], [
388037/524288, 776075/1048576], [0, 0]]]], [[11, 17, 5, 8, 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], [388037/524288, 776075/1048576], [160177/
131072, 1281417/1048576]]]], [[11, 17, 5, 8, 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], [388037/524288, 776075/1048576], [3, 3]]]], [[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 <
-(y-x)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-1/2, -1/2], [18, 18], [-\
6, -6]]]], [[1, 1, 5, 9, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-1 < x,x <
0), u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [
-1/2, -1/2], [18, 18], [-281881/65536, -4510095/1048576]]]], [[1, 1, 5, 9, 3],
[v < -2^(1/2), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), u^2-v^2+x+1 < y, And(-(y
-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-5, -5], [-1/2, -\
1/2], [18, 18], [0, 0]]]], [[1, 1, 5, 9, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2)
, And(-1 < x,x < 0), u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-3,
-3], [-5, -5], [-1/2, -1/2], [18, 18], [4510095/1048576, 281881/65536]]]], [[1
, 1, 5, 9, 5], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), u^2-v^2+x
+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5], [-1/2, -1/2], [
18, 18], [6, 6]]]], [[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 < x-u^2+v^2+1, z = z], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-915943/
524288, -915943/524288], [-4, -4], [0, 0]]]], [[1, 8, 9, 7, 1], [v < -2^(1/2),
u = -(v^2-1)^(1/2), 1 < x, x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -\
3], [-2965821/1048576, -11863283/4194304], [2, 2], [5, 5], [-3, -3]]]], [[1, 8
, 9, 7, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), 1 < x, x+2 < y, z = -(y-x)^(1/2
)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [2, 2],
[5, 5], [-1816187/1048576, -3632373/2097152]]]], [[1, 8, 9, 7, 3], [v < -2^(1/
2), u = -(v^2-1)^(1/2), 1 < x, x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [2, 2], [5
, 5], [-1/4194304, -1/4194304]]]], [[1, 8, 9, 7, 4], [v < -2^(1/2), u = -(v^2-\
1)^(1/2), 1 < x, x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [2, 2], [5, 5], [908093/524288, 1816187/
1048576]]]], [[1, 8, 9, 7, 5], [v < -2^(1/2), u = -(v^2-1)^(1/2), 1 < x, x+2 <
y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [2, 2], [5, 5], [3, 3]]]], [[1, 10, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6,
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, 5, 2, 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, 2, 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, 2, 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, 3, 6, 1], [v < -2^(1/2), u = -v, 
And(-1 < x,x < 0), y = x+1, z < -1], [regular_chain, [[-3, -3], [3, 3], [-1/2,
-1/2], [1/2, 1/2], [-2, -2]]]], [[1, 16, 3, 6, 2], [v < -2^(1/2), u = -v, And(
-1 < x,x < 0), y = x+1, z = -1], [regular_chain, [[-3, -3], [3, 3], [-1/2, -1/
2], [1/2, 1/2], [-1, -1]]]], [[1, 16, 3, 6, 3], [v < -2^(1/2), u = -v, And(-1
< x,x < 0), y = x+1, And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [3, 3], [-\
1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[1, 16, 3, 6, 4], [v < -2^(1/2), u = -v, 
And(-1 < x,x < 0), y = x+1, z = 1], [regular_chain, [[-3, -3], [3, 3], [-1/2,
-1/2], [1/2, 1/2], [1, 1]]]], [[1, 16, 3, 6, 5], [v < -2^(1/2), u = -v, And(-1
< x,x < 0), y = x+1, 1 < z], [regular_chain, [[-3, -3], [3, 3], [-1/2, -1/2],
[1/2, 1/2], [2, 2]]]], [[1, 21, 10, 1, 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], [-1,
-1], [0, 0]]]], [[2, 2, 4, 9, 1], [v = -2^(1/2), u = -2, x = -1, 2 < y, z < -(
y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-\
1, -1], [3, 3], [-3, -3]]]], [[2, 2, 4, 9, 2], [v = -2^(1/2), u = -2, x = -1,
2 < y, z = -(y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-2, -2], [-1, -1], [3, 3], [-2, -2]]]], [[2, 2, 4, 9, 3], [v = -2^(1/2), u =
-2, x = -1, 2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-2, -2], [-1, -1], [3, 3], [0, 0]]]], [[2,
2, 4, 9, 4], [v = -2^(1/2), u = -2, x = -1, 2 < y, z = (y+1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-1, -1], [3, 3]
, [2, 2]]]], [[2, 2, 4, 9, 5], [v = -2^(1/2), u = -2, x = -1, 2 < y, (y+1)^(1/
2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-1, -\
1], [3, 3], [3, 3]]]], [[2, 9, 8, 1, 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], [-1, -1], [0, 0]]]], [[2, 11, 4, 9, 1], [v = -2^(1/2),
And(0 < u,u < 1), x = -1, -u^2+2 < y, z < -(y+1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1/2, 1/2], [-1, -1], [3, 3], [-3, -3]]]], [
[2, 11, 4, 9, 2], [v = -2^(1/2), And(0 < u,u < 1), x = -1, -u^2+2 < y, z = -(y
+1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [
-1, -1], [3, 3], [-2, -2]]]], [[2, 11, 4, 9, 3], [v = -2^(1/2), And(0 < u,u <
1), x = -1, -u^2+2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain
, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-1, -1], [3, 3], [0, 0]]]]
, [[2, 11, 4, 9, 4], [v = -2^(1/2), And(0 < u,u < 1), x = -1, -u^2+2 < y, z =
(y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2],
[-1, -1], [3, 3], [2, 2]]]], [[2, 11, 4, 9, 5], [v = -2^(1/2), And(0 < u,u < 1
), x = -1, -u^2+2 < y, (y+1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1/2, 1/2], [-1, -1], [3, 3], [3, 3]]]], [[2, 17, 3, 1, 1], [v
= -2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), y < x-u^2+3, z = z
], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 
3913339/2097152], [-3651195/2097152, -3651195/2097152], [-4, -4], [0, 0]]]], [
[2, 18, 8, 7, 1], [v = -2^(1/2), u = 2, x = 1, 4 < y, z < -(y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [1, 1], [5, 5], [-\
3, -3]]]], [[2, 18, 8, 7, 2], [v = -2^(1/2), u = 2, x = 1, 4 < y, z = -(y-1)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [1, 1], [5
, 5], [-2, -2]]]], [[2, 18, 8, 7, 3], [v = -2^(1/2), u = 2, x = 1, 4 < y, 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, 7, 4], [v = -2^
(1/2), u = 2, x = 1, 4 < y, z = (y-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [2, 2], [1, 1], [5, 5], [2, 2]]]], [[2, 18, 8, 7, 5]
, [v = -2^(1/2), u = 2, x = 1, 4 < y, (y-1)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [1, 1], [5, 5], [3, 3]]]], [[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 = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-14373233/8388608, -14373233/8388608], [0, 0], [-250983/524288, -\
501965/1048576], [0, 0]]]], [[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 < x, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [-2, -2], [0, 0]]]], [
[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 = x, z < 0], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [987341/1048576, 987341/1048576], [-5390713/4194304, -\
5390713/4194304], [-1347679/1048576, -673839/524288], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-5390713/4194304, -5390713/
4194304], [-1347679/1048576, -673839/524288], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-5390713/4194304, -5390713/4194304], [-\
1347679/1048576, -673839/524288], [1, 1]]]], [[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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 3, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-2 < x,x < -\
1), And(x < y,y < 0), z < -(y-x)^(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, 3, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2)
, And(-2 < x,x < -1), And(x < y,y < 0), z = -(y-x)^(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, 3, 3]
, [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(x < y,
y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [And(-2^(1/2) < v,
v < -1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-2 < x,
x < -1), And(x < y,y < 0), (y-x)^(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, 1, 5, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+
2)^(1/2), x < -3, And(x < y,y < x+3), z < -(y-x)^(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 < y,y < x+3), z = -(y-x)^(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 < y,y < x+3), And(-
(y-x)^(1/2) < z,z < (y-x)^(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 < y,y < x+3), z = (y-x)^(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 < y,y < x+3), (y-x)^(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(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[-1, -\
1], [-1482911/1048576, -741455/524288], [-3, -3], [-2, -2], [-2, -2]]]], [[4,
4, 1, 3, 2], [v = -1, u = -2^(1/2), x < -2, And(x < y,y < x+2), z = -(y-x)^(1/
2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3, -3],
[-2, -2], [-1, -1]]]], [[4, 4, 1, 3, 3], [v = -1, u = -2^(1/2), x < -2, And(x
< y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1
], [-1482911/1048576, -741455/524288], [-3, -3], [-2, -2], [0, 0]]]], [[4, 4,
1, 3, 4], [v = -1, u = -2^(1/2), x < -2, And(x < y,y < x+2), z = (y-x)^(1/2)],
[regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3, -3], [-2,
-2], [1, 1]]]], [[4, 4, 1, 3, 5], [v = -1, u = -2^(1/2), x < -2, And(x < y,y <
x+2), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/
524288], [-3, -3], [-2, -2], [2, 2]]]], [[4, 5, 11, 2, 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, 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 = z], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-1, -1], [-2, -2]
, [0, 0]]]], [[5, 2, 4, 9, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -1,
2 < y, z < -(y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1, -1
], [3, 3], [-3, -3]]]], [[5, 2, 4, 9, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/
2), x = -1, 2 < y, z = -(y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3
/2], [-1, -1], [3, 3], [-2, -2]]]], [[5, 2, 4, 9, 3], [And(-1 < v,v < 0), u =
-(v^2+2)^(1/2), x = -1, 2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1, -1], [3, 3], [0, 0]]]], [[5,
2, 4, 9, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -1, 2 < y, z = (y+1)^
(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1, -1], [3, 3], [2, 2]]
]], [[5, 2, 4, 9, 5], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -1, 2 < y, (
y+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1, -1], [3, 3]
, [3, 3]]]], [[5, 4, 2, 1, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -2,
y < -2, z = z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/
1048576], [-2, -2], [-3, -3], [0, 0]]]], [[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(0 < y,y < u^2-v
^2-1), z = z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144],
[243021/524288, 486043/1048576], [243021/1048576, 243021/1048576], [0, 0]]]],
[[5, 13, 5, 2, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y
= x-u^2+v^2+1, z = z], [regular_chain, [[-1/2, -1/2], [3, 3], [-1/2, -1/2], [-\
33/4, -33/4], [0, 0]]]], [[6, 5, 6, 7, 1], [v = 0, And(-1 < u,u < 0), x = u^2-\
1, 2*u^2 < y, z < -(y-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-\
3/4, -3/4], [2, 2], [-3, -3]]]], [[6, 5, 6, 7, 2], [v = 0, And(-1 < u,u < 0),
x = u^2-1, 2*u^2 < y, z = -(y-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -\
1/2], [-3/4, -3/4], [2, 2], [-1738867/1048576, -3477733/2097152]]]], [[6, 5, 6
, 7, 3], [v = 0, And(-1 < u,u < 0), x = u^2-1, 2*u^2 < y, And(-(y-u^2+1)^(1/2)
< z,z < (y-u^2+1)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/4, -3/4]
, [2, 2], [-1/4194304, -1/4194304]]]], [[6, 5, 6, 7, 4], [v = 0, And(-1 < u,u
< 0), x = u^2-1, 2*u^2 < y, z = (y-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1
/2, -1/2], [-3/4, -3/4], [2, 2], [869433/524288, 1738867/1048576]]]], [[6, 5,
6, 7, 5], [v = 0, And(-1 < u,u < 0), x = u^2-1, 2*u^2 < y, (y-u^2+1)^(1/2) < z
], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/4, -3/4], [2, 2], [3, 3]]]], [[6
, 7, 7, 4, 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, 4, 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, 4, 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
, 4, 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, 4, 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, 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(x-1 < y,y
< x), z = z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-4, -4], [-9/2, -9/2
], [0, 0]]]], [[7, 7, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 3, 1], [And(0 < v,v < 1), And(v <
u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(0 < y,y < x), z = z], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2], [1
/4, 1/4], [0, 0]]]], [[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 < x-u^2+v^2+1, z = z], [regular_chain,
[[1/2, 1/2], [343151/262144, 343151/262144], [-4, -4], [-6, -6], [0, 0]]]], [[
7, 12, 7, 4, 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, 1, 1], [v = 1, u = -2^(1/2), x = 1, y < 0, z = z], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [1, 1], [-1, -1],
[0, 0]]]], [[8, 6, 7, 2, 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, 2, 7, 1]
, [v = 1, And(1 < u,u < 2^(1/2)), x = -u^2, 0 < y, 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, 7, 2], [v = 1, And(1 < u,u <
2^(1/2)), x = -u^2, 0 < y, 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, 7, 3], [v = 1, And(1 < u,u
< 2^(1/2)), x = -u^2, 0 < y, 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, 7, 4], [v =
1, And(1 < u,u < 2^(1/2)), x = -u^2, 0 < y, 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, 7, 5], [v =
1, And(1 < u,u < 2^(1/2)), x = -u^2, 0 < y, (u^2+y)^(1/2) < z], [regular_chain
, [[1, 1], [1265743/1048576, 1265743/1048576], [-1527887/1048576, -763943/
524288], [1, 1], [3, 3]]]], [[8, 13, 2, 1, 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], [-4, -4], [0,
0]]]], [[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 = x-u^2+v^2+1, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4
, -4], [-2348135/524288, -4696269/1048576], [0, 0]]]], [[9, 4, 9, 3, 1], [And(
1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), 1 < x, And(0 < y,y < x), z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [2, 2], [1, 1], [0, 0]]]], [[9, 11, 11, 9, 1], [And(1 < v,v < 2^(1/2
)), And((v^2-1)^(1/2) < u,u < v), 1 < x, x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [2, 2], [5, 5], [-3, -3]]]], [[9, 11, 11, 9, 2], [And(1 < v,v < 2^(1
/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, x-u^2+v^2+1 < y, z = -(y-x)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [2, 2], [5, 5], [-1816187/1048576, -3632373/2097152]]]], [[9, 11, 11
, 9, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, x-u^2+v
^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [5, 5], [
-1/4194304, -1/4194304]]]], [[9, 11, 11, 9, 4], [And(1 < v,v < 2^(1/2)), And((
v^2-1)^(1/2) < u,u < v), 1 < x, x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [2, 2], [5, 5], [908093/524288, 1816187/1048576]]]], [[9, 11, 11, 9,
5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, x-u^2+v^2+1
< y, (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [2, 2], [5, 5], [3, 3]]]], [[9, 14, 2, 1, 1],
[And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -2, y < -2, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-2, -2], [-3, -3], [0, 0]]]], [[10, 2, 2, 7, 1], [v = 2^(1/2), u = -\
2, x = -3, 0 < y, z < -(y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [-3, -3], [1, 1], [-3, -3]]]], [[10, 2, 2, 7, 2], [v = 2^(
1/2), u = -2, x = -3, 0 < y, z = -(y+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [-3, -3], [1, 1], [-2, -2]]]], [[10, 2, 2,
7, 3], [v = 2^(1/2), u = -2, x = -3, 0 < y, And(-(y+3)^(1/2) < z,z < (y+3)^(1/
2))], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-3, -3], [
1, 1], [0, 0]]]], [[10, 2, 2, 7, 4], [v = 2^(1/2), u = -2, x = -3, 0 < y, z =
(y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-3
, -3], [1, 1], [2, 2]]]], [[10, 2, 2, 7, 5], [v = 2^(1/2), u = -2, x = -3, 0 <
y, (y+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -\
2], [-3, -3], [1, 1], [3, 3]]]], [[10, 3, 11, 3, 1], [v = 2^(1/2), And(-2 < u,
u < -3^(1/2)), 1 < x, And(0 < y,y < x-u^2+3), z = z], [regular_chain, [[741455
/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [2, 2], [
397921/524288, 397921/524288], [0, 0]]]], [[10, 8, 3, 3, 1], [v = 2^(1/2), u =
-1, And(-2 < x,x < -1), And(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [-1, -1], [-3/2, -3/2], [-3/4, -3/4], [-2, -\
2]]]], [[10, 8, 3, 3, 2], [v = 2^(1/2), u = -1, And(-2 < x,x < -1), And(x < y,
y < 0), z = -(y-x)^(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, 3, 3], [v = 2^(1/2), u = -1, And(-2 < x,x < -1), And(x < y,y < 0),
And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [v = 2^(1/2), u = -1, And(-2 < x,x < -1), And(
x < y,y < 0), z = (y-x)^(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, 3, 5], [v = 2^(1/2), u = -1, And(-2 < x,x < -1), And(x < y,y
< 0), (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1
, -1], [-3/2, -3/2], [-3/4, -3/4], [2, 2]]]], [[10, 10, 1, 9, 1], [v = 2^(1/2)
, u = 0, x < -3, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [-4, -4], [1, 1], [-4, -4]]]], [[10, 10, 1, 9, 2], [
v = 2^(1/2), u = 0, x < -3, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [0, 0], [-4, -4], [1, 1], [-146543/65536, -2344687/
1048576]]]], [[10, 10, 1, 9, 3], [v = 2^(1/2), u = 0, x < -3, 0 < y, And(-(y-x
)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [0, 0], [-4, -4], [1, 1], [0, 0]]]], [[10, 10, 1, 9, 4], [v = 2^(1/2
), u = 0, x < -3, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [-4, -4], [1, 1], [2344687/1048576, 146543/65536]]]]
, [[10, 10, 1, 9, 5], [v = 2^(1/2), u = 0, x < -3, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-4, -4], [1, 1], [4
, 4]]]], [[10, 15, 8, 6, 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], [1546381/1048576, 773191/524288],
[-3, -3]]]], [[10, 15, 8, 6, 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], [1546381/1048576, 773191
/524288], [-1273381/1048576, -318345/262144]]]], [[10, 15, 8, 6, 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], [1546381/1048576, 773191/524288], [0, 0]]]]
, [[10, 15, 8, 6, 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], [1546381/1048576, 773191/524288], [
318345/262144, 1273381/1048576]]]], [[10, 15, 8, 6, 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], [
1546381/1048576, 773191/524288], [3, 3]]]], [[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-1 < y, z < -(y-x)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [505467/2097152, 505467/2097152], [4, 4], [-3, -3]]]], [[10, 17, 7,
9, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), u^2+x-1 < y
, z = -(y-x)^(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, 9, 3], [v = 2^(1/2), 
And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), u^2+x-1 < y, And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
3913339/2097152, 3913339/2097152], [505467/2097152, 505467/2097152], [4, 4], [
0, 0]]]], [[10, 17, 7, 9, 4], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(0 < x,
x < u^2-3), u^2+x-1 < y, z = (y-x)^(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, 9, 5], [v
= 2^(1/2), And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), u^2+x-1 < y, (y-x)^(1
/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152,
3913339/2097152], [505467/2097152, 505467/2097152], [4, 4], [3, 3]]]], [[10, 
18, 6, 5, 1], [v = 2^(1/2), u = 2, x = 0, And(0 < y,y < 3), z < -y^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [0, 0], [3/2, 3/2],
[-3, -3]]]], [[10, 18, 6, 5, 2], [v = 2^(1/2), u = 2, x = 0, And(0 < y,y < 3),
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, 5, 3], [v
= 2^(1/2), u = 2, x = 0, And(0 < y,y < 3), 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, 5, 4], [v = 2^(1/2), u = 2, x = 0, And(0 < y,y < 3), 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, 5, 5], [v = 2^(1
/2), u = 2, x = 0, And(0 < y,y < 3), y^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [2, 2], [0, 0], [3/2, 3/2], [3, 3]]]], [[11, 1, 4, 1
, 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], [-17, -17], [0, 0]]]], [[11, 6, 6,
5, 1], [2^(1/2) < v, u = -v, x = 1, And(1 < y,y < 2), z < -(y-1)^(1/2)], [
regular_chain, [[3, 3], [-3, -3], [1, 1], [3/2, 3/2], [-2, -2]]]], [[11, 6, 6,
5, 2], [2^(1/2) < v, u = -v, x = 1, And(1 < y,y < 2), z = -(y-1)^(1/2)], [
regular_chain, [[3, 3], [-3, -3], [1, 1], [3/2, 3/2], [-1482911/2097152, -\
741455/1048576]]]], [[11, 6, 6, 5, 3], [2^(1/2) < v, u = -v, x = 1, And(1 < y,
y < 2), 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, 5, 4], [2^(1/2) < v, u = -v, x
= 1, And(1 < y,y < 2), z = (y-1)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [1
, 1], [3/2, 3/2], [741455/1048576, 46341/65536]]]], [[11, 6, 6, 5, 5], [2^(1/2
) < v, u = -v, x = 1, And(1 < y,y < 2), (y-1)^(1/2) < z], [regular_chain, [[3,
3], [-3, -3], [1, 1], [3/2, 3/2], [2, 2]]]], [[11, 8, 7, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 4, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 2, 4, 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, 4, 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
, 4, 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, 4, 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,
4, 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, 1, 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], [-1, -1], [0, 0]]]], [[11, 21, 8, 4, 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, 2, 2, 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, 2, 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, 2, 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, 
11, 8, 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], [3663111/1048576, 457889/131072], [-3, -3]]]], [[1, 5,
11, 8, 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], [3663111/1048576, 457889/131072], [-1281417/1048576, -\
160177/131072]]]], [[1, 5, 11, 8, 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], [
3663111/1048576, 457889/131072], [0, 0]]]], [[1, 5, 11, 8, 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], [3663111/
1048576, 457889/131072], [160177/131072, 1281417/1048576]]]], [[1, 5, 11, 8, 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], [3663111/1048576, 457889/131072], [3, 3]]]], [[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 =
z], [regular_chain, [[-3, -3], [0, 0], [1, 1], [-7, -7], [0, 0]]]], [[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 = z], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[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 = 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], [1300363/1048576, 325091/
262144], [-3, -3]]]], [[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 = 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], [1300363/1048576, 325091/262144], [-1281417/1048576, -160177
/131072]]]], [[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 = u^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], [1300363/1048576, 325091/262144], [0, 0]]]
], [[1, 17, 7, 8, 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], [
1300363/1048576, 325091/262144], [160177/131072, 1281417/1048576]]]], [[1, 17,
7, 8, 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], [1300363/
1048576, 325091/262144], [3, 3]]]], [[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 < -y^(1/2
)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [0, 0], [
653799/524288, 653799/524288], [-3, -3]]]], [[1, 19, 6, 5, 2], [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 =
-y^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [0,
0], [653799/524288, 653799/524288], [-1170947/1048576, -585473/524288]]]], [[1
, 19, 6, 5, 3], [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), 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, 5, 4], [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 = y^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [0, 0], [653799/
524288, 653799/524288], [585473/524288, 1170947/1048576]]]], [[1, 19, 6, 5, 5]
, [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), y^(1/2) < z], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [0, 0], [653799/524288, 653799/524288], [3, 3]]]], [[2, 3, 6
, 3, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0, And(-u^2+3 < y,y < 0)
, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [0, 0], [-505467/2097152, -505467/2097152], [0, 0]
]]], [[2, 5, 5, 2, 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, 2, 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, 2, 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, 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+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, 6, 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, 6, 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, 6, 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, 6, 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, 10, 5, 1], [v = -2^(1/2), And(1 < u,u <
-v), x = 1, And(1 < y,y < u^2), 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(1 < y,y < u^2), 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(1 < 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
], [1288231/1048576, 1288231/1048576], [0, 0]]]], [[2, 13, 10, 5, 4], [v = -2^
(1/2), And(1 < u,u < -v), x = 1, And(1 < y,y < u^2), 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(
1 < y,y < u^2), (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, u^2 < y, z < -(y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [1, 1], [4, 4], [-3, -3]]]
], [[2, 15, 10, 9, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 1, u^2 < y,
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, 9, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x =
1, u^2 < y, 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, 9, 4], [v = -2^(1/2), And(-v < u,u <
3^(1/2)), x = 1, u^2 < y, 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, 9, 5], [v = -2^(1/2), And(-v < u,u
< 3^(1/2)), x = 1, u^2 < y, (y-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [1, 1], [4, 4],
[3, 3]]]], [[2, 19, 9, 9, 1], [v = -2^(1/2), 2 < u, And(1 < x,x < u^2-3), u^2+
x-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [3, 3], [7/2, 7/2], [13, 13], [-5, -5]]]], [[2, 19, 9, 9, 2], [v = -2^(1/2)
, 2 < u, And(1 < x,x < u^2-3), u^2+x-1 < y, z = -(y-x)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [3, 3], [7/2, 7/2], [13, 13], [-3231929/
1048576, -403991/131072]]]], [[2, 19, 9, 9, 3], [v = -2^(1/2), 2 < u, And(1 <
x,x < u^2-3), u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7/2, 7/2], [13, 
13], [0, 0]]]], [[2, 19, 9, 9, 4], [v = -2^(1/2), 2 < u, And(1 < x,x < u^2-3),
u^2+x-1 < y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [7/2, 7/2], [13, 13], [403991/131072, 3231929/1048576]]]], [[
2, 19, 9, 9, 5], [v = -2^(1/2), 2 < u, And(1 < x,x < u^2-3), u^2+x-1 < y, (y-x
)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7/
2, 7/2], [13, 13], [5, 5]]]], [[3, 2, 4, 8, 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, 8, 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, 8, 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, 8,
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, 8, 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, 1, 2, 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, 2, 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, 2, 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, 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 < 0, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [2, 2], [-1, -1], [0, 0]]]], [[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 < x-u^
2+v^2+1, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3]
, [-10006449/2097152, -10006449/2097152], [-13, -13], [0, 0]]]], [[4, 1, 8, 7,
1], [v = -1, u < -3^(1/2), x = 1, And(1 < y,y < u^2+1), z < -(y-1)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [1, 1], [11/2, 11/2], [-4, -4]]]], [[4, 1,
8, 7, 2], [v = -1, u < -3^(1/2), x = 1, And(1 < y,y < u^2+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, 7, 3], [v = -1, u < -3^(1/2), x = 1, And(1
< y,y < u^2+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, 7, 4], [v = -1, u <
-3^(1/2), x = 1, And(1 < y,y < u^2+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, 7, 5], [v = -1, u < -3^(1/2), x = 1, And(1 < y,y < u^2+1), (y-1)^(1/2)
< z], [regular_chain, [[-1, -1], [-3, -3], [1, 1], [11/2, 11/2], [4, 4]]]], [[
4, 7, 4, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 7, 1], [v = -1, And(0 < u,u < 1), And(u
^2-2 < x,x < -1), And(0 < y,y < x-u^2+2), z < -(y-x)^(1/2)], [regular_chain, [
[-1, -1], [1/2, 1/2], [-11/8, -11/8], [3/16, 3/16], [-3, -3]]]], [[4, 9, 3, 7,
2], [v = -1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), And(0 < y,y < x-u^2+2),
z = -(y-x)^(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, 7, 3], [v = -1, And(0 < u,u < 1), And(u
^2-2 < x,x < -1), And(0 < y,y < x-u^2+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2)
)], [regular_chain, [[-1, -1], [1/2, 1/2], [-11/8, -11/8], [3/16, 3/16], [0, 0
]]]], [[4, 9, 3, 7, 4], [v = -1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), And(
0 < y,y < x-u^2+2), z = (y-x)^(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, 7, 5], [v = -1, And(0 <
u,u < 1), And(u^2-2 < x,x < -1), And(0 < y,y < x-u^2+2), (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [1/2, 1/2], [-11/8, -11/8], [3/16, 3/16], [3, 3]]]],
[[4, 13, 6, 5, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 0, And(0 < y,y <
u^2), z < -y^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [0, 0], [2594957/2097152, 2594957/2097152], [-3, -3]]]], [[4, 13, 6,
5, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 0, And(0 < y,y < u^2), 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, 5, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 0, And(0 < y,y <
u^2), 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, 5, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 0, And(0 < y
,y < u^2), 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, 5, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 0,
And(0 < y,y < u^2), y^(1/2) < z], [regular_chain, [[-1, -1], [3299097/2097152,
3299097/2097152], [0, 0], [2594957/2097152, 2594957/2097152], [3, 3]]]], [[4,
15, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 1
], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -1, u^2-v^2 < y, z <
-(y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [-1, -1], [2, 2], [-3, -3]]]], [[5, 5, 4, 9, 2], [And(-1 < v,v < 0),
And(-(v^2+1)^(1/2) < u,u < v), x = -1, u^2-v^2 < y, z = -(y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1, -1],
[2, 2], [-1816187/1048576, -3632373/2097152]]]], [[5, 5, 4, 9, 3], [And(-1 < v
,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -1, u^2-v^2 < y, 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], [-1/4194304, -1/4194304]]]], [[5, 5, 4, 9,
4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -1, u^2-v^2 < y, z
= (y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [-1, -1], [2, 2], [908093/524288, 1816187/1048576]]]], [[5, 5, 4, 9,
5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -1, u^2-v^2 < y, (y
+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [-1, -1], [2, 2], [3, 3]]]], [[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 = 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, 4, 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, 4, 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, 4, 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, 4, 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, 6, 1, 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], [-1, -1], [0, 0]]]], [[5, 10
, 6, 3, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = 0, And(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2
), 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 < 3), z < -y^(1/2)], [regular_chain, [[0, 0], [-1482911/
1048576, -741455/524288], [0, 0], [3/2, 3/2], [-3, -3]]]], [[6, 2, 6, 5, 2], [
v = 0, u = -2^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 3], [v = 0, u = -2^(1/2), x = 0, 
And(0 < y,y < 3), 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, 5,
4], [v = 0, u = -2^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 5], [v = 0, u = -2^(1/2),
x = 0, And(0 < y,y < 3), y^(1/2) < z], [regular_chain, [[0, 0], [-1482911/
1048576, -741455/524288], [0, 0], [3/2, 3/2], [3, 3]]]], [[6, 4, 4, 3, 1], [v
= 0, u = -1, x = -1, And(-1 < y,y < 0), z < -(y+1)^(1/2)], [regular_chain, [[0
, 0], [-1, -1], [-1, -1], [-1/2, -1/2], [-2, -2]]]], [[6, 4, 4, 3, 2], [v = 0,
u = -1, x = -1, And(-1 < y,y < 0), z = -(y+1)^(1/2)], [regular_chain, [[0, 0],
[-1, -1], [-1, -1], [-1/2, -1/2], [-1482911/2097152, -741455/1048576]]]], [[6,
4, 4, 3, 3], [v = 0, u = -1, x = -1, And(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z
< (y+1)^(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 = (y+1
)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-1, -1], [-1/2, -1/2], [741455/
1048576, 46341/65536]]]], [[6, 4, 4, 3, 5], [v = 0, u = -1, x = -1, And(-1 < y
,y < 0), (y+1)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [-1, -1], [-1/2,
-1/2], [2, 2]]]], [[6, 8, 8, 2, 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, 3, 1],
[v = 0, u = 2^(1/2), And(-1 < x,x < 0), And(x-1 < y,y < x), z = z], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1/2, -1/2], [-1, -\
1], [0, 0]]]], [[7, 4, 5, 7, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-1
< x,x < 0), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/
131072, -1172343/1048576], [-1/2, -1/2], [3, 3], [-3, -3]]]], [[7, 4, 5, 7, 2]
, [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, z = -(y-x
)^(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, 7, 3], [
And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, And(-(y-x)^(
1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-146543/131072, -\
1172343/1048576], [-1/2, -1/2], [3, 3], [0, 0]]]], [[7, 4, 5, 7, 4], [And(0 <
v,v < 1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, z = (y-x)^(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, 7, 5], [And(0 < v,v <
1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-1/2, -1/2],
[3, 3], [3, 3]]]], [[7, 6, 4, 4, 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, 4, 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, 4, 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
, 4, 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, 4, 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, 1, 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], [-8, -8], [0, 0]]]], [[8, 2, 3, 4, 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, 4, 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, 4, 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, 7
, 10, 3, 1], [v = 1, And(-1 < u,u < 0), x = 1, And(0 < y,y < 1), z = z], [
regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [1/2, 1/2], [0, 0]]]], [[8, 9, 9
, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, And(x <
y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [2, 2], [6789261/2097152, 6789261/2097152], [-3, -3]]]], [[8
, 13, 11, 7, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, And(x < y,y < u^
2+x), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [2, 2], [6789261/2097152, 6789261/2097152], [-1166407/1048576, -\
583203/524288]]]], [[8, 13, 11, 7, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), 1
< x, And(x < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [2, 2], [6789261/
2097152, 6789261/2097152], [0, 0]]]], [[8, 13, 11, 7, 4], [v = 1, And(2^(1/2)
< u,u < 3^(1/2)), 1 < x, And(x < y,y < u^2+x), z = (y-x)^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [2, 2], [6789261/
2097152, 6789261/2097152], [583203/524288, 1166407/1048576]]]], [[8, 13, 11, 7
, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, And(x < y,y < u^2+x), (y-x)
^(1/2) < z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [2,
2], [6789261/2097152, 6789261/2097152], [3, 3]]]], [[8, 15, 9, 1, 1], [v = 1,
3^(1/2) < u, And(1 < x,x < u^2-2), y < x-u^2+2, z = z], [regular_chain, [[1, 1
], [3, 3], [4, 4], [-4, -4], [0, 0]]]], [[9, 5, 10, 4, 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, 4, 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, 4, 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, 3
, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, And(0 <
y,y < x), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [2, 2], [1, 1], [0, 0]]]], [[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, 0 < y, z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [-2576463/1048576, -1288231/524288], [1, 1], [-3, -3
]]]], [[9, 9, 2, 7, 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, 0 < y, z = -(y-u^2+v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [0, 0], [-2576463/1048576, -1288231/
524288], [1, 1], [-3899297/2097152, -7798593/4194304]]]], [[9, 9, 2, 7, 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, 0 < y, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-2576463/1048576,
-1288231/524288], [1, 1], [-1/8388608, -1/8388608]]]], [[9, 9, 2, 7, 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,
0 < y, z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [-2576463/1048576, -1288231/524288], [1, 1], [121853/65536,
1949649/1048576]]]], [[9, 9, 2, 7, 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, 0 < y, (y-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-2576463/1048576,
-1288231/524288], [1, 1], [3, 3]]]], [[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 < u^2-v^2-1, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-1646781/1048576, -3293561/2097152], [-3, -3], [0, 0]]]], [[9, 16,
6, 7, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 0, 3 < y, z < -y^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 
1949649/1048576], [0, 0], [4, 4], [-3, -3]]]], [[9, 16, 6, 7, 2], [And(1 < v,v
< 2^(1/2)), u = (v^2+2)^(1/2), x = 0, 3 < y, z = -y^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [0, 0], [4
, 4], [-2, -2]]]], [[9, 16, 6, 7, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/
2), x = 0, 3 < y, 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, 7, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 0,
3 < y, z = y^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [0, 0], [4, 4], [2, 2]]]], [[9, 16, 6, 7, 5],
[And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 0, 3 < y, y^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [0, 0], [4, 4], [3, 3]]]], [[10, 1, 4, 3, 1], [v = 2^(1/2), u < -2,
x = -1, And(-u^2+2 < y,y < -1), z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [-1, -1], [-4, -4], [0, 0]]]], [[10, 5, 3, 1, 1],
[v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-u^2+1 < x,x < -1), y < x, z = z],
[regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195
/4194304], [-1297479/1048576, -1297479/1048576], [-3, -3], [0, 0]]]], [[10, 7,
3, 9, 1], [v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), x-u^2+3 < y
, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152], [2,
2], [-3, -3]]]], [[10, 7, 3, 9, 2], [v = 2^(1/2), And(-v < u,u < -1), And(u^2-\
3 < x,x < -1), x-u^2+3 < y, z = -(y-x)^(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, 9
, 3], [v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), x-u^2+3 < y, 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-2666417/2097152, -\
2666417/2097152], [2, 2], [0, 0]]]], [[10, 7, 3, 9, 4], [v = 2^(1/2), And(-v <
u,u < -1), And(u^2-3 < x,x < -1), x-u^2+3 < y, z = (y-x)^(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, 9, 5], [v = 2^(1/2), And(-v < u,u < -1), And(
u^2-3 < x,x < -1), x-u^2+3 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-2666417/
2097152, -2666417/2097152], [2, 2], [3, 3]]]], [[10, 12, 6, 2, 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, 2, 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, 2, 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, 5, 1], [v = 2^(1/2), u = v,
And(0 < x,x < 1), And(x < y,y < x+1), z < -(y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [1/2, 1/2],
[1, 1], [-2, -2]]]], [[10, 14, 5, 5, 2], [v = 2^(1/2), u = v, And(0 < x,x < 1)
, And(x < y,y < x+1), z = -(y-x)^(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, 5, 3], [v = 2^(1/2), u = v,
And(0 < x,x < 1), And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [1/2, 1/2], [1, 1], [0, 0]]]], [[10, 14, 5, 5, 4], [v = 2^(1/2), u =
v, And(0 < x,x < 1), And(x < y,y < x+1), z = (y-x)^(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, 5, 5], [v = 2^(1/2), u
= v, And(0 < x,x < 1), And(x < y,y < x+1), (y-x)^(1/2) < z], [regular_chain, [
[741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [1/2, 1/2]
, [1, 1], [2, 2]]]], [[11, 2, 2, 7, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), x =
-3, 0 < y, z < -(y+3)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -\
3477733/1048576], [-3, -3], [1, 1], [-3, -3]]]], [[11, 2, 2, 7, 2], [2^(1/2) <
v, u = -(v^2+2)^(1/2), x = -3, 0 < y, z = -(y+3)^(1/2)], [regular_chain, [[3,
3], [-1738867/524288, -3477733/1048576], [-3, -3], [1, 1], [-2, -2]]]], [[11,
2, 2, 7, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -3, 0 < y, And(-(y+3)^(1/2)
< z,z < (y+3)^(1/2))], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [-3, -3], [1, 1], [0, 0]]]], [[11, 2, 2, 7, 4], [2^(1/2) < v, u = -(
v^2+2)^(1/2), x = -3, 0 < y, z = (y+3)^(1/2)], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [-3, -3], [1, 1], [2, 2]]]], [[11, 2, 2, 7,
5], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -3, 0 < y, (y+3)^(1/2) < z], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-3, -3], [1, 1],
[3, 3]]]], [[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(0 < y,y < x-u^2+v^2+1), z = z], [regular_chain, [[3, 3],
[-3396811/1048576, -3396811/1048576], [2, 2], [1579107/2097152, 1579107/
2097152], [0, 0]]]], [[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, -2*u^2+2*v^2 < y, 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, 7, 2], [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 = -(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, 7, 3], [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, 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, 7, 4], [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 = (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, 7, 5], [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, (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, 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 = z], [regular_chain, [[3, 3], [0, 0], [0, 0], [-9, -9], [0, 0]]]], [[
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 < x, z = z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-391287/524288, -391287/524288], [-2, -2], [0, 0]]]], [[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),
u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [-1579769/2097152, -1579769/2097152], [2, 2], [-3, -3]]]], [[
11, 17, 5, 9, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u
^2-v^2-1), u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [2, 2], [
-3479815/2097152, -1739907/1048576]]]], [[11, 17, 5, 9, 3], [2^(1/2) < v, And(
v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), u^2-v^2+x+1 < y, And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [-1579769/2097152, -1579769/2097152], [2, 2], [0, 0]]]], [[11,
17, 5, 9, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v
^2-1), u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [2, 2], [1739907
/1048576, 434977/262144]]]], [[11, 17, 5, 9, 5], [2^(1/2) < v, And(v < u,u < (
v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1579769/2097152, -\
1579769/2097152], [2, 2], [3, 3]]]], [[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 < -(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, 8, 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, 8, 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, 8, 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, 8, 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, 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 < -(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, 7, 2], [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 = -(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, 7, 3], [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, 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, 7, 4], [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 = (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, 7, 5], [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, (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, 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 < u^2-v^2+x+1, z = z], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [-4, -4], [-6, -6], [0, 0]]]], [[1, 10,
6, 7, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 0, 3 < y, z < -y^(1/2)], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [0, 0], [4, 4]
, [-3, -3]]]], [[1, 10, 6, 7, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 0, 3
< y, z = -y^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/
1048576], [0, 0], [4, 4], [-2, -2]]]], [[1, 10, 6, 7, 3], [v < -2^(1/2), u = -
(v^2-2)^(1/2), x = 0, 3 < y, 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, 7, 4], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 0, 3 < y, z = y^(1/2)],
[regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [0, 0], [4, 4
], [2, 2]]]], [[1, 10, 6, 7, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 0, 3 <
y, y^(1/2) < z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/
1048576], [0, 0], [4, 4], [3, 3]]]], [[1, 14, 5, 1, 1], [v < -2^(1/2), u = (v^
2-1)^(1/2), And(-1 < x,x < 0), y < x, z = z], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[1, 16, 3
, 5, 1], [v < -2^(1/2), u = -v, And(-1 < x,x < 0), And(0 < y,y < x+1), z < -(y
-x)^(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+1), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [-1/2, -1/2],
[1/4, 1/4], [-1816187/2097152, -3632373/4194304]]]], [[1, 16, 3, 5, 3], [v < -
2^(1/2), u = -v, And(-1 < x,x < 0), And(0 < y,y < x+1), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[-3, -3], [3, 3], [-1/2, -1/2], [1/4, 1/4],
[-1/8388608, -1/8388608]]]], [[1, 16, 3, 5, 4], [v < -2^(1/2), u = -v, And(-1
< x,x < 0), And(0 < y,y < x+1), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [
3, 3], [-1/2, -1/2], [1/4, 1/4], [908093/1048576, 454047/524288]]]], [[1, 16,
3, 5, 5], [v < -2^(1/2), u = -v, And(-1 < x,x < 0), And(0 < y,y < x+1), (y-x)^
(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 =
0, z = z], [regular_chain, [[-3, -3], [5, 5], [15, 15], [0, 0], [0, 0]]]], [[2
, 2, 5, 1, 1], [v = -2^(1/2), u = -2, And(-1 < x,x < 0), y < x-1, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-1/2, -1/2], [-\
3, -3], [0, 0]]]], [[2, 9, 7, 9, 1], [v = -2^(1/2), And(-1 < u,u < 0), And(0 <
x,x < -u^2+1), x-u^2+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [3/8, 3/8], [5, 5], [-4, -4]]]], [[2,
9, 7, 9, 2], [v = -2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+1), x-u^2+3
< y, z = -(y-x)^(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, 9, 3], [v = -2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+1), x-u^2+3 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1/2, -1/2], [3/8, 3/8], [5, 5], [0, 0]]]], [[2, 9, 7, 9, 4]
, [v = -2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+1), x-u^2+3 < y, z = (y
-x)^(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, 9, 5], [v
= -2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+1), x-u^2+3 < y, (y-x)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [3/8,
3/8], [5, 5], [4, 4]]]], [[2, 11, 4, 8, 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, 8,
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, 8, 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, 8, 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, 8, 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, 2, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -\
1), y = x-u^2+3, z = z], [regular_chain, [[-1482911/1048576, -741455/524288],
[3913339/2097152, 3913339/2097152], [-3651195/2097152, -3651195/2097152], [-\
2331065/1048576, -291383/131072], [0, 0]]]], [[2, 18, 9, 1, 1], [v = -2^(1/2),
u = 2, 1 < x, y < 0, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [2, 2], [2, 2], [-1, -1], [0, 0]]]], [[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 = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [0, 0], [-2, -2], [0, 0]]]], [[3, 5, 4, 9, 1], [
And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -1, u^2-v^2 < y,
z < -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-1, -1], [2, 2], [-3, -3]]]], [[3, 5, 4,
9, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -1, u^2-v
^2 < y, z = -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [2, 2], [-1816187/
1048576, -3632373/2097152]]]], [[3, 5, 4, 9, 3], [And(-2^(1/2) < v,v < -1), 
And(-(v^2+1)^(1/2) < u,u < v), x = -1, u^2-v^2 < y, And(-(y+1)^(1/2) < z,z < (
y+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805
/4194304, -5818805/4194304], [-1, -1], [2, 2], [-1/4194304, -1/4194304]]]], [[
3, 5, 4, 9, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x =
-1, u^2-v^2 < y, z = (y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [2, 2], [
908093/524288, 1816187/1048576]]]], [[3, 5, 4, 9, 5], [And(-2^(1/2) < v,v < -1
), And(-(v^2+1)^(1/2) < u,u < v), x = -1, u^2-v^2 < y, (y+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1, -1], [2, 2], [3, 3]]]], [[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(x
< y,y < u^2-v^2+x+1), z < -(y-x)^(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, 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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 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(x < y,y < u^
2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(x < y,y < u^2-v^2+x+1), z = (y-x)^(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, 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(x <
y,y < u^2-v^2+x+1), (y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(0 < y,y < u^2-v^2+x
+1), z = (y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), (y-x)^(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, 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+3, z < -3^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [121853/65536, 1949649/1048576], [-4, -4], [-1, -1], [-3, -3]]]], [[3, 16,
1, 6, 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, 6, 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, 6, 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, 6, 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, 1, 2, 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, 2, 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, 2, 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, 1, 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], [-1, -1], [0, 0]]]], [[4, 10, 3, 5, 1], [v = -1, u = 1, And
(-1 < x,x < 0), And(0 < y,y < x+1), z < -(y-x)^(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+1), z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [1, 1], [-1/2, -1/2], [1/4, 1/4], [-1816187/2097152,
-3632373/4194304]]]], [[4, 10, 3, 5, 3], [v = -1, u = 1, And(-1 < x,x < 0), 
And(0 < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
-1, -1], [1, 1], [-1/2, -1/2], [1/4, 1/4], [-1/8388608, -1/8388608]]]], [[4, 
10, 3, 5, 4], [v = -1, u = 1, And(-1 < x,x < 0), And(0 < y,y < x+1), z = (y-x)
^(1/2)], [regular_chain, [[-1, -1], [1, 1], [-1/2, -1/2], [1/4, 1/4], [908093/
1048576, 454047/524288]]]], [[4, 10, 3, 5, 5], [v = -1, u = 1, And(-1 < x,x <
0), And(0 < y,y < x+1), (y-x)^(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 < 0], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [-1, -1], [-1, -1], [-1, -1]]]], [[4, 12, 4, 2, 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, 2, 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, 4, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 4, 1, 7, 1], [And(-1 < v,v < 0), u = -(
v^2+1)^(1/2), x < -2, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2],
[-146543/131072, -1172343/1048576], [-3, -3], [1, 1], [-3, -3]]]], [[5, 4, 1,
7, 2], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x < -2, 0 < y, z = -(y-x)^(1/2)
], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-3, -3]
, [1, 1], [-2, -2]]]], [[5, 4, 1, 7, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2
), x < -2, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1
/2, -1/2], [-146543/131072, -1172343/1048576], [-3, -3], [1, 1], [0, 0]]]], [[
5, 4, 1, 7, 4], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x < -2, 0 < y, z = (y-
x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576],
[-3, -3], [1, 1], [2, 2]]]], [[5, 4, 1, 7, 5], [And(-1 < v,v < 0), u = -(v^2+1
)^(1/2), x < -2, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [-3, -3], [1, 1], [3, 3]]]], [[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], [243021/524288, 486043/
1048576], [-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], [243021/524288, 486043/1048576], [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], [243021/524288, 486043/1048576], [1, 1]]]],
[[5, 13, 5, 3, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), 
And(x-u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[-1/2, -1/2], [3, 3], [-1
/2, -1/2], [-35/8, -35/8], [0, 0]]]], [[6, 5, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6
, 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, 7, 3, 1], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x < 0), And(x < y,y < 0
), z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [-3/
16, -3/16], [-2, -2]]]], [[6, 7, 7, 3, 2], [v = 0, And(0 < u,u < 1), And(u^2-1
< x,x < 0), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x < 0), And(x < y,y <
0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2
], [-3/8, -3/8], [-3/16, -3/16], [0, 0]]]], [[6, 7, 7, 3, 4], [v = 0, And(0 <
u,u < 1), And(u^2-1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = 0, And(0 < u,u < 1), And(u^
2-1 < x,x < 0), And(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[0, 0], [
1/2, 1/2], [-3/8, -3/8], [-3/16, -3/16], [2, 2]]]], [[6, 11, 6, 5, 1], [v = 0,
2^(1/2) < u, x = 0, And(0 < y,y < u^2+1), z < -y^(1/2)], [regular_chain, [[0,
0], [3, 3], [0, 0], [5, 5], [-4, -4]]]], [[6, 11, 6, 5, 2], [v = 0, 2^(1/2) <
u, x = 0, And(0 < y,y < u^2+1), z = -y^(1/2)], [regular_chain, [[0, 0], [3, 3]
, [0, 0], [5, 5], [-146543/65536, -2344687/1048576]]]], [[6, 11, 6, 5, 3], [v
= 0, 2^(1/2) < u, x = 0, And(0 < y,y < u^2+1), And(-y^(1/2) < z,z < y^(1/2))],
[regular_chain, [[0, 0], [3, 3], [0, 0], [5, 5], [0, 0]]]], [[6, 11, 6, 5, 4],
[v = 0, 2^(1/2) < u, x = 0, And(0 < y,y < u^2+1), z = y^(1/2)], [regular_chain
, [[0, 0], [3, 3], [0, 0], [5, 5], [2344687/1048576, 146543/65536]]]], [[6, 11
, 6, 5, 5], [v = 0, 2^(1/2) < u, x = 0, And(0 < y,y < u^2+1), y^(1/2) < z], [
regular_chain, [[0, 0], [3, 3], [0, 0], [5, 5], [4, 4]]]], [[7, 2, 1, 4, 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, 4, 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, 4, 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, 5, 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, 5, 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, 5, 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, 5, 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, 5, 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, 2, 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,
7, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), 1 < x, x+2 < y, z < -(y-x)^(1/2)]
, [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [2, 2], [5, 5
], [-3, -3]]]], [[7, 10, 9, 7, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), 1 < x
, x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 
146543/131072], [2, 2], [5, 5], [-1816187/1048576, -3632373/2097152]]]], [[7,
10, 9, 7, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2), 1 < x, x+2 < y, And(-(y-x)
^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [1172343/1048576, 
146543/131072], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[7, 10, 9, 7, 4]
, [And(0 < v,v < 1), u = (v^2+1)^(1/2), 1 < x, x+2 < y, z = (y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [2, 2], [5, 5],
[908093/524288, 1816187/1048576]]]], [[7, 10, 9, 7, 5], [And(0 < v,v < 1), u =
(v^2+1)^(1/2), 1 < x, x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2],
[1172343/1048576, 146543/131072], [2, 2], [5, 5], [3, 3]]]], [[7, 12, 7, 3, 1]
, [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(x-1 < 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, 8, 2, 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, 3, 1], [v = 1, u = -1, 1 < x, And(0 < y,y < x), z = z], [
regular_chain, [[1, 1], [-1, -1], [2, 2], [1, 1], [0, 0]]]], [[8, 11, 2, 6, 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, 6, 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, 6, 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, 6
, 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, 6, 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, 9, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2,
0 < y, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [-4, -4], [1, 1], [-4, -4]]]], [[8, 13, 1, 9, 2], [v = 1, And(2^(1/2
) < u,u < 3^(1/2)), x < -u^2, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1
], [3299097/2097152, 3299097/2097152], [-4, -4], [1, 1], [-146543/65536, -\
2344687/1048576]]]], [[8, 13, 1, 9, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)),
x < -u^2, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1,
1], [3299097/2097152, 3299097/2097152], [-4, -4], [1, 1], [0, 0]]]], [[8, 13,
1, 9, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, 0 < y, z = (y-x)^(1/
2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-4, -4], [1
, 1], [2344687/1048576, 146543/65536]]]], [[8, 13, 1, 9, 5], [v = 1, And(2^(1/
2) < u,u < 3^(1/2)), x < -u^2, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1
], [3299097/2097152, 3299097/2097152], [-4, -4], [1, 1], [4, 4]]]], [[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(x-u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4, -4], [
-8890573/2097152, -8890573/2097152], [0, 0]]]], [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [2, 2], [935983/262144, 3743933/1048576], [-3, -3]]]], [[9, 
11, 11, 8, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, y
= x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [935983/262144, 
3743933/1048576], [-1314069/1048576, -328517/262144]]]], [[9, 11, 11, 8, 3], [
And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, y = x-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], [2, 2], [
935983/262144, 3743933/1048576], [0, 0]]]], [[9, 11, 11, 8, 4], [And(1 < v,v <
2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, y = x-u^2+v^2+1, z = (-u^2+v^2+
1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [2, 2], [935983/262144, 3743933/1048576], [328517/
262144, 1314069/1048576]]]], [[9, 11, 11, 8, 5], [And(1 < v,v < 2^(1/2)), And(
(v^2-1)^(1/2) < u,u < v), 1 < x, y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [2, 2], [935983/262144, 3743933/1048576], [3, 3]]]], [[9, 14, 1, 7,
1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x < -2, 0 < y, z < -(y-x)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 
410915/262144], [-3, -3], [1, 1], [-3, -3]]]], [[9, 14, 1, 7, 2], [And(1 < v,v
< 2^(1/2)), u = (v^2+1)^(1/2), x < -2, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-3, -3], [1, 1], [-2, -2]]]], [[9, 14, 1, 7, 3], [And(1 < v,v < 2^(1
/2)), u = (v^2+1)^(1/2), x < -2, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 
410915/262144], [-3, -3], [1, 1], [0, 0]]]], [[9, 14, 1, 7, 4], [And(1 < v,v <
2^(1/2)), u = (v^2+1)^(1/2), x < -2, 0 < y, z = (y-x)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-3, -3
], [1, 1], [2, 2]]]], [[9, 14, 1, 7, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^
(1/2), x < -2, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1643659/1048576, 410915/262144], [-3, -3], [1, 1], [3, 3]]]
], [[10, 2, 3, 1, 1], [v = 2^(1/2), u = -2, And(-3 < x,x < -1), y < x-1, z = z
], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-2, -2], [-4,
-4], [0, 0]]]], [[10, 3, 11, 4, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), 1
< x, y = x-u^2+3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [
-3913339/2097152, -3913339/2097152], [2, 2], [397921/262144, 1591685/1048576],
[0, 0]]]], [[10, 8, 3, 2, 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, 2, 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, 2, 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, 10, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 7,
1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 0, u^2-1 < y, z < -y^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [0, 0], [3, 3], [-3, -3]]]], [[10, 15, 8, 7, 2], [v = 2^(1/2), And(v
< u,u < 3^(1/2)), x = 0, u^2-1 < y, 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, 7, 3], [v = 2^(1/2), And
(v < u,u < 3^(1/2)), x = 0, u^2-1 < y, 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, 7, 4], [v
= 2^(1/2), And(v < u,u < 3^(1/2)), x = 0, u^2-1 < y, 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, 7,
5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 0, u^2-1 < y, y^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [0, 0], [3, 3], [3, 3]]]], [[10, 17, 8, 1, 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], [-1, -1], [0, 0]]]], [[10, 18, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 4, 2, 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, 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 < x+2), z < -(y-x)^(1/2)], [regular_chain
, [[3, 3], [-2965821/1048576, -11863283/4194304], [1/2, 1/2], [3/2, 3/2], [-2,
-2]]]], [[11, 8, 7, 5, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(0 < x,x < 1),
And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]], [[11, 8, 7,
5, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2),
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[11, 8, 7, 5,
4], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z
= (y-x)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304]
, [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[11, 8, 7, 5, 5], [2^(1/2) < v, u = -(v^
2-1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [1/2, 1/2], [3/
2, 3/2], [2, 2]]]], [[11, 12, 4, 9, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -\
1, 2 < y, z < -(y+1)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/
4096], [-1, -1], [3, 3], [-3, -3]]]], [[11, 12, 4, 9, 2], [2^(1/2) < v, u = (v
^2-2)^(1/2), x = -1, 2 < y, z = -(y+1)^(1/2)], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [-1, -1], [3, 3], [-2, -2]]]], [[11, 12, 4, 9, 3
], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -1, 2 < y, And(-(y+1)^(1/2) < z,z < (y
+1)^(1/2))], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1, -1],
[3, 3], [0, 0]]]], [[11, 12, 4, 9, 4], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -1
, 2 < y, z = (y+1)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/
4096], [-1, -1], [3, 3], [2, 2]]]], [[11, 12, 4, 9, 5], [2^(1/2) < v, u = (v^2
-2)^(1/2), x = -1, 2 < y, (y+1)^(1/2) < z], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [-1, -1], [3, 3], [3, 3]]]], [[11, 14, 2, 5, 1], [2^(1/2
) < v, u = (v^2-1)^(1/2), x = -2, 0 < y, z < -(y+2)^(1/2)], [regular_chain, [[
3, 3], [741455/262144, 2965821/1048576], [-2, -2], [1, 1], [-3, -3]]]], [[11,
14, 2, 5, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -2, 0 < y, z = -(y+2)^(1/2)
], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-2, -2], [1, 1]
, [-1816187/1048576, -3632373/2097152]]]], [[11, 14, 2, 5, 3], [2^(1/2) < v, u
= (v^2-1)^(1/2), x = -2, 0 < y, And(-(y+2)^(1/2) < z,z < (y+2)^(1/2))], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-2, -2], [1, 1], [-\
1/4194304, -1/4194304]]]], [[11, 14, 2, 5, 4], [2^(1/2) < v, u = (v^2-1)^(1/2)
, x = -2, 0 < y, z = (y+2)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 
2965821/1048576], [-2, -2], [1, 1], [908093/524288, 1816187/1048576]]]], [[11,
14, 2, 5, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -2, 0 < y, (y+2)^(1/2) < z]
, [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-2, -2], [1, 1],
[3, 3]]]], [[11, 19, 10, 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+2 < y, z < -(y-1)^(1/2)], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [1, 1], [5, 5], [-3, -3]]]], [[11, 19, 10,
9, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, u^2-v^2+
2 < y, z = -(y-1)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [1, 1], [5, 5], [-2, -2]]]], [[11, 19, 10, 9, 3], [2^(1/2) < v, And(
(v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, u^2-v^2+2 < y, 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, 9, 4], [2^(1/2) < v, And((v
^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, u^2-v^2+2 < y, z = (y-1)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [1, 1], [5, 5], [2
, 2]]]], [[11, 19, 10, 9, 5], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^
(1/2)), x = 1, u^2-v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [1, 1], [5, 5], [3, 3]]]], [[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 < 0), z = z],
[regular_chain, [[3, 3], [5, 5], [1, 1], [-7, -7], [0, 0]]]], [[1, 1, 7, 4, 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, 2, 9,
5, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), 1 < x, And(x-1 < y,y < 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 = -1, z < 0], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [-1, -1], [-1, -1], [-1, -1]]]], [[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 = -1, z
= 0], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1,
-1], [-1, -1], [0, 0]]]], [[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 = -1, 0 < z], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [-1, -1], [-1, -1], [1, 1]]]], [[1, 10,
6, 3, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 0, And(-1 < y,y < 0), z = z],
[regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [0, 0], [-1/2
, -1/2], [0, 0]]]], [[1, 14, 7, 1, 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], [-1, -1], [0, 0]]]], [[1, 15, 11, 6, 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], [
2613723/1048576, 653431/262144], [-2, -2]]]], [[1, 15, 11, 6, 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], [
2613723/1048576, 653431/262144], [-735979/1048576, -1471957/2097152]]]], [[1,
15, 11, 6, 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], [2613723/1048576, 653431/
262144], [-1/4194304, -1/4194304]]]], [[1, 15, 11, 6, 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], [2613723
/1048576, 653431/262144], [367989/524288, 735979/1048576]]]], [[1, 15, 11, 6,
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], [2613723/1048576, 653431/262144], [2, 2]]]], [[2, 1, 2, 5, 1
], [v = -2^(1/2), u < -2, x = -u^2+1, And(-u^2+1 < y,y < 0), z < -(u^2+y-1)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-8, -8],
[-4, -4], [-3, -3]]]], [[2, 1, 2, 5, 2], [v = -2^(1/2), u < -2, x = -u^2+1, 
And(-u^2+1 < y,y < 0), z = -(u^2+y-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [-8, -8], [-4, -4], [-2, -2]]]], [[2, 1, 2
, 5, 3], [v = -2^(1/2), u < -2, x = -u^2+1, And(-u^2+1 < y,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], [-4, -4], [0, 0]]]], [[2, 1, 2, 5, 4], [v
= -2^(1/2), u < -2, x = -u^2+1, And(-u^2+1 < y,y < 0), z = (u^2+y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-8, -8], [-4, -\
4], [2, 2]]]], [[2, 1, 2, 5, 5], [v = -2^(1/2), u < -2, x = -u^2+1, And(-u^2+1
< y,y < 0), (u^2+y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [-8, -8], [-4, -4], [3, 3]]]], [[2, 2, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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(x <
y,y < x-u^2+3), z < -(y-x)^(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(x < y,y < x-u^2+3), z = -(y-
x)^(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(x < y,y < x-u^2+3), And(-(
y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < x-u^2+3), z = (y-x)^(
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(x < y,y < x-u^2+3), (y-x)^(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 = 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, 4, 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, 4, 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, 7, 5, 1], [v = -2^(1/2), u = 2, And(0 < x,x < 1), And(0 < y,y < x), 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 < -y^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [0, 0], [2599117/2097152, 2599117/2097152], [-3, -3]]]], [[
3, 3, 6, 5, 2], [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 = -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, 5, 3], [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), 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, 5, 4], [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 = 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, 5, 5], [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), 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, 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], [-3213831/2097152, -\
1606915/1048576], [-3, -3]]]], [[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], [-3213831/2097152, -1606915/1048576], [-\
1270261/1048576, -317565/262144]]]], [[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], [-3213831/
2097152, -1606915/1048576], [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], [-3213831/2097152, -1606915/
1048576], [317565/262144, 1270261/1048576]]]], [[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], [-3213831/2097152, -1606915/
1048576], [3, 3]]]], [[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(u^2-v^2+x+1 < y,y < 0), z
< -(y-x)^(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(u^2-v^2+
x+1 < y,y < 0), z = -(y-x)^(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(u^2-v^2+x+1 < y,y < 0), And(-(y-x)^(1/2) <
z,z < (y-x)^(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(u^2-v^2+x+
1 < y,y < 0), z = (y-x)^(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(u^2-v^2+x+1 < y,y < 0), (y-x)^(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 = -u^2+v^2-1, z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [-384703/262144, -\
1538811/1048576], [-384703/262144, -1538811/1048576], [-1, -1]]]], [[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 = -u^2+v^2-1, z = 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-384703/262144, -1538811/
1048576], [-384703/262144, -1538811/1048576], [0, 0]]]], [[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 = -
u^2+v^2-1, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [-384703/262144, -1538811/1048576], [-\
384703/262144, -1538811/1048576], [1, 1]]]], [[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, 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, 2, 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, 2, 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, 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 = -u^2+v^
2+2, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/
524288, 898327/524288], [1, 1], [273305/524288, 546611/1048576], [0, 0]]]], [[
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 = -u^2+3, z < -(-u^2+2)^(1/2)], [regular_chain, [[-\
1, -1], [-1265743/1048576, -1265743/1048576], [1, 1], [1617841/1048576, 808921
/524288], [-2, -2]]]], [[4, 5, 10, 6, 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], [1617841/1048576, 808921/524288], [-772605
/1048576, -1545209/2097152]]]], [[4, 5, 10, 6, 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], [
1617841/1048576, 808921/524288], [-1/4194304, -1/4194304]]]], [[4, 5, 10, 6, 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], [
1617841/1048576, 808921/524288], [193151/262144, 772605/1048576]]]], [[4, 5, 
10, 6, 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
], [1617841/1048576, 808921/524288], [2, 2]]]], [[4, 10, 5, 5, 1], [v = -1, u
= 1, And(0 < x,x < 1), And(x < y,y < x+1), z < -(y-x)^(1/2)], [regular_chain,
[[-1, -1], [1, 1], [1/2, 1/2], [1, 1], [-2, -2]]]], [[4, 10, 5, 5, 2], [v = -1
, u = 1, And(0 < x,x < 1), And(x < y,y < x+1), z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [1, 1], [1/2, 1/2], [1, 1], [-1482911/2097152, -\
741455/1048576]]]], [[4, 10, 5, 5, 3], [v = -1, u = 1, And(0 < x,x < 1), And(x
< y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1
], [1, 1], [1/2, 1/2], [1, 1], [0, 0]]]], [[4, 10, 5, 5, 4], [v = -1, u = 1, 
And(0 < x,x < 1), And(x < y,y < x+1), z = (y-x)^(1/2)], [regular_chain, [[-1,
-1], [1, 1], [1/2, 1/2], [1, 1], [741455/1048576, 46341/65536]]]], [[4, 10, 5,
5, 5], [v = -1, u = 1, And(0 < x,x < 1), And(x < y,y < x+1), (y-x)^(1/2) < z],
[regular_chain, [[-1, -1], [1, 1], [1/2, 1/2], [1, 1], [2, 2]]]], [[4, 12, 1,
1, 1], [v = -1, u = 2^(1/2), x < -2, y < x, z = z], [regular_chain, [[-1, -1],
[741455/524288, 1482911/1048576], [-3, -3], [-4, -4], [0, 0]]]], [[5, 2, 8, 2,
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, 4,
1, 3, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x < -2, And(x < y,y < x+2),
z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/
1048576], [-3, -3], [-2, -2], [-2, -2]]]], [[5, 4, 1, 3, 2], [And(-1 < v,v < 0
), u = -(v^2+1)^(1/2), x < -2, And(x < y,y < x+2), z = -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-3, -3], [-\
2, -2], [-1, -1]]]], [[5, 4, 1, 3, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2),
x < -2, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-3, -3], [-\
2, -2], [0, 0]]]], [[5, 4, 1, 3, 4], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x
< -2, And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [-3, -3], [-2, -2], [1, 1]]]], [[5, 4, 1, 3,
5], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x < -2, And(x < y,y < x+2), (y-x)^
(1/2) < z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576],
[-3, -3], [-2, -2], [2, 2]]]], [[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 < 0, z = z], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [1534619/2097152
, 1534619/2097152], [-1, -1], [0, 0]]]], [[5, 13, 1, 9, 1], [And(-1 < v,v < 0)
, (v^2+2)^(1/2) < u, x < -u^2+v^2-1, 0 < y, z < -(y-x)^(1/2)], [regular_chain,
[[-1/2, -1/2], [3, 3], [-11, -11], [1, 1], [-5, -5]]]], [[5, 13, 1, 9, 2], [
And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, 0 < y, z = -(y-x)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [3, 3], [-11, -11], [1, 1], [-1816187/524288,
-3632373/1048576]]]], [[5, 13, 1, 9, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u
, x < -u^2+v^2-1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [3, 3], [-11, -11], [1, 1], [0, 0]]]], [[5, 13,
1, 9, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, 0 < y, z = (y
-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-11, -11], [1, 1], [
3632373/1048576, 1816187/524288]]]], [[5, 13, 1, 9, 5], [And(-1 < v,v < 0), (v
^2+2)^(1/2) < u, x < -u^2+v^2-1, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-1
/2, -1/2], [3, 3], [-11, -11], [1, 1], [5, 5]]]], [[6, 5, 9, 3, 1], [v = 0, 
And(-1 < u,u < 0), And(0 < x,x < 1), And(0 < y,y < x), z = z], [regular_chain,
[[0, 0], [-1/2, -1/2], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[6, 7, 5, 7, 1], [v
= 0, And(0 < u,u < 1), And(-1 < x,x < u^2-1), And(0 < y,y < u^2+x+1), z < -(y-
x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [3/16, 3/16], [-\
3, -3]]]], [[6, 7, 5, 7, 2], [v = 0, And(0 < u,u < 1), And(-1 < x,x < u^2-1),
And(0 < y,y < u^2+x+1), z = -(y-x)^(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,
7, 3], [v = 0, And(0 < u,u < 1), And(-1 < x,x < u^2-1), And(0 < y,y < u^2+x+1)
, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2],
[-7/8, -7/8], [3/16, 3/16], [0, 0]]]], [[6, 7, 5, 7, 4], [v = 0, And(0 < u,u <
1), And(-1 < x,x < u^2-1), And(0 < y,y < u^2+x+1), z = (y-x)^(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, 7, 5], [v = 0, And(0 < u,u < 1), And(-1 <
x,x < u^2-1), And(0 < y,y < u^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[0, 0
], [1/2, 1/2], [-7/8, -7/8], [3/16, 3/16], [3, 3]]]], [[6, 11, 7, 2, 1], [v =
0, 2^(1/2) < u, And(0 < x,x < 1), y = x-u^2+1, z = z], [regular_chain, [[0, 0]
, [3, 3], [1/2, 1/2], [-15/2, -15/2], [0, 0]]]], [[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 < x-u^2+v^2+1, z = z],
[regular_chain, [[1/2, 1/2], [-3, -3], [35/8, 35/8], [-5, -5], [0, 0]]]], [[7,
7, 10, 9, 1], [And(0 < v,v < 1), And(-v < u,u < v), x = 1, -u^2+v^2+2 < y, z <
-(y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [1, 1], [4, 4], [-3, -3]]]
], [[7, 7, 10, 9, 2], [And(0 < v,v < 1), And(-v < u,u < v), x = 1, -u^2+v^2+2
< y, z = -(y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [1, 1], [4, 4], [
-1816187/1048576, -3632373/2097152]]]], [[7, 7, 10, 9, 3], [And(0 < v,v < 1),
And(-v < u,u < v), x = 1, -u^2+v^2+2 < y, 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, 9, 4], [And(0 < v,v < 1), And(-v < u,u < v), x = 1, -
u^2+v^2+2 < y, z = (y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [1, 1],
[4, 4], [908093/524288, 1816187/1048576]]]], [[7, 7, 10, 9, 5], [And(0 < v,v <
1), And(-v < u,u < v), x = 1, -u^2+v^2+2 < y, (y-1)^(1/2) < z], [regular_chain
, [[1/2, 1/2], [0, 0], [1, 1], [4, 4], [3, 3]]]], [[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 = x-u^2+v^2
+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-1248837/4194304, -1248837/4194304], [312209/1048576, 
156105/524288], [-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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)
^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-\
1248837/4194304, -1248837/4194304], [312209/1048576, 156105/524288], [-1618333
/2097152, -3236665/4194304]]]], [[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 = x-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], [-1248837/4194304, -1248837/4194304], [312209/
1048576, 156105/524288], [-1/8388608, -1/8388608]]]], [[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 = x-u^2+
v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152,
1696631/2097152], [-1248837/4194304, -1248837/4194304], [312209/1048576, 
156105/524288], [404583/524288, 809167/1048576]]]], [[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 = x-u^2+v^
2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-1248837/4194304, -1248837/4194304], [312209/1048576, 
156105/524288], [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(-2*u^2+2*v^2 < y,y < -u^2+v^2
-1), z = z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-\
2583195/1048576, -1291597/524288], [-45219451/16777216, -45219451/16777216], [
0, 0]]]], [[7, 12, 4, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 7, 1], [v = 1, And(-2^(1/2) <
u,u < -1), x = -u^2, 0 < y, 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, 7, 2], [v = 1, And(-2^(1/2) < u,u < -1), x = -u^2, 0
< y, 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, 7, 3], [v = 1, And(-2^(1/2) < u,u < -1), x = -
u^2, 0 < y, 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, 7, 4], [v = 1, And(-2^(1/2) < u
,u < -1), x = -u^2, 0 < y, 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, 7, 5], [v = 1, And(-2^(1/2)
< u,u < -1), x = -u^2, 0 < y, (u^2+y)^(1/2) < z], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-1527887/1048576, -763943/524288], [1, 1]
, [3, 3]]]], [[8, 6, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 4, 2, 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, 2, 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, 2, 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, 3, 1], [v = 1, u = 2^(1/2
), x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[1, 1], [741455/524288, 
1482911/1048576], [1, 1], [1/2, 1/2], [0, 0]]]], [[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 = 0, z < -\
1], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1, -1], [0, 0], [-2, -2]]]], [[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 = 0, z =
-1], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608,
-14373233/8388608], [-1, -1], [0, 0], [-1, -1]]]], [[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 = 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,
6, 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,
6, 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,
7, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = 1, 3 < y, z < -(y-1)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -\
3287319/2097152], [1, 1], [4, 4], [-3, -3]]]], [[9, 4, 8, 7, 2], [And(1 < v,v
< 2^(1/2)), u = -(v^2+1)^(1/2), x = 1, 3 < y, 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,
7, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = 1, 3 < y, 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, 7, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = 1, 3
< y, 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, 7, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x
= 1, 3 < y, (y-1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-410915/262144, -3287319/2097152], [1, 1], [4, 4], [3, 3]]]], [[9,
12, 1, 3, 1], [And(1 < v,v < 2^(1/2)), u = v, x < -1, And(x < y,y < x+1), z <
-(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [-2, -2], [-3/2, -3/2], [-2, -2]]]], [[9, 12, 1, 3,
2], [And(1 < v,v < 2^(1/2)), u = v, x < -1, And(x < y,y < x+1), z = -(y-x)^(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, 3, 3], [And(1 < v,v < 2^(1/2)), u = v, x < -1, And(x < y,y < x
+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576
, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [-3/2, -3/2]
, [0, 0]]]], [[9, 12, 1, 3, 4], [And(1 < v,v < 2^(1/2)), u = v, x < -1, And(x
< y,y < x+1), z = (y-x)^(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, 3, 5], [And(1 < v,v < 2^(1/2)), u = v, x
< -1, And(x < y,y < x+1), (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [-3/2, -3/2],
[2, 2]]]], [[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-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [1/2, 1/2], [270657/262144, 1082629/1048576], [-2, -2]]]], [[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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [
270657/262144, 1082629/1048576], [-765155/1048576, -1530309/2097152]]]], [[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-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], [1/2, 1/2], [270657/262144, 1082629/1048576], [-1/4194304, -\
1/4194304]]]], [[9, 13, 9, 6, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+
1)^(1/2)), And(0 < x,x < 1), y = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [1/2, 1/2], [270657/262144, 1082629/1048576], [382577/524288, 765155
/1048576]]]], [[9, 13, 9, 6, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1
)^(1/2)), And(0 < x,x < 1), y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [1/2, 1/2], [270657/262144, 1082629/1048576], [2, 2]]]], [[10, 2, 5,
3, 1], [v = 2^(1/2), u = -2, And(-1 < x,x < 0), And(x-1 < y,y < x), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1/2, -1/2], [-1,
-1], [0, 0]]]], [[10, 3, 10, 1, 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], [-1, -1], [0, 0]]]], [[10, 8, 3, 6
, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 9, 7, 1], [v = 2^(1/2)
, And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), And(x < y,y < x-u^2+3), z < -(y-x)
^(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, 7, 2], [v = 2^(1/2), And(-1 < u,u
< 0), And(-u^2+1 < x,x < 1), And(x < y,y < x-u^2+3), z = -(y-x)^(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, 7, 3], [v = 2^(1/
2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), And(x < y,y < x-u^2+3), And(-(y-
x)^(1/2) < z,z < (y-x)^(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, 7, 4],
[v = 2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), And(x < y,y < x-u^2+3)
, z = (y-x)^(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
, 7, 5], [v = 2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), And(x < y,y <
x-u^2+3), (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[-1/2, -1/2], [7/8, 7/8], [9/4, 9/4], [3, 3]]]], [[10, 15, 11, 2, 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, 5, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = 0, 
And(0 < y,y < u^2-1), 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, 5, 2], [v = 2^(1/2), And(3^(1/2) <
u,u < 2), x = 0, And(0 < y,y < u^2-1), 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, 5, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = 0, And(0 < y,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], [2602619/2097152, 
2602619/2097152], [0, 0]]]], [[10, 17, 6, 5, 4], [v = 2^(1/2), And(3^(1/2) < u
,u < 2), x = 0, And(0 < y,y < u^2-1), 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, 5, 5
], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = 0, And(0 < y,y < u^2-1), 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, 2, 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, 1
, 7, 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 < 0), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-18, -18], [-1
/2, -1/2], [-6, -6]]]], [[11, 1, 1, 7, 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 < 0), z = -(y-x)^(1/2)], [regular_chain, [
[3, 3], [-5, -5], [-18, -18], [-1/2, -1/2], [-4386509/1048576, -1096627/262144
]]]], [[11, 1, 1, 7, 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 < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [-5, -5], [-18, -18], [-1/2, -1/2], [0, 0]]]], [[11, 1
, 1, 7, 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 < 0), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-18, -18], [
-1/2, -1/2], [1096627/262144, 4386509/1048576]]]], [[11, 1, 1, 7, 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 < 0), (y-x)^(1/
2) < z], [regular_chain, [[3, 3], [-5, -5], [-18, -18], [-1/2, -1/2], [6, 6]]]
], [[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 = x, z < 0], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-657289/524288, -657289/524288], [-657289/524288, -657289/
524288], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288], [-657289
/524288, -657289/524288], [0, 0]]]], [[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 = x, 0 < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-657289/524288,
-657289/524288], [-657289/524288, -657289/524288], [1, 1]]]], [[11, 8, 7, 1, 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], [-1
, -1], [0, 0]]]], [[11, 12, 6, 3, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 0,
And(-1 < y,y < 0), z = z], [regular_chain, [[3, 3], [2774271/1048576, 10837/
4096], [0, 0], [-1/2, -1/2], [0, 0]]]], [[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 < 0, z = z], [regular_chain, [
[3, 3], [1435023/524288, 1435023/524288], [2, 2], [-1, -1], [0, 0]]]], [[11, 
20, 3, 3, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(x-1 < y
,y < x), z = z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [
-2, -2], [-5/2, -5/2], [0, 0]]]], [[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 < -(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, 8, 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, 8, 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, 8, 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, 8, 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, 1, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2),
And(-2 < x,x < -1), y < x, z = z], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [-3/2, -3/2], [-3, -3], [0, 0]]]], [[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 < 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, 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 < 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, 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 < 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, 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 < 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, 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 < u^
2-v^2+1), y^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [0, 0], [1, 1], [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(0 < y,y < x-u^2+v^
2+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [-919691/524288, -919691/524288], [395403/1048576, 395403/1048576], [
-3, -3]]]], [[1, 13, 3, 7, 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-u^2+v^2+1), z = -(y-x)^(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, 7, 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-u^2+v^2+1), And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [1435023/524288,
1435023/524288], [-919691/524288, -919691/524288], [395403/1048576, 395403/
1048576], [0, 0]]]], [[1, 13, 3, 7, 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-u^2+v^2+1), z = (
y-x)^(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, 7, 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-u^2+v^2+1
), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [-919691/524288, -919691/524288], [395403/1048576, 395403/1048576], [
3, 3]]]], [[1, 17, 8, 3, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x =
0, And(0 < y,y < -u^2+v^2+1), z < -y^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [0, 0], [66399/262144, 66399/262144], [-2, -2]]
]], [[1, 17, 8, 3, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = 0, 
And(0 < y,y < -u^2+v^2+1), z = -y^(1/2)], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [0, 0], [66399/262144, 66399/262144], [-527729/1048576
, -1055457/2097152]]]], [[1, 17, 8, 3, 3], [v < -2^(1/2), And(-v < u,u < (v^2+
1)^(1/2)), x = 0, And(0 < 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], [66399/
262144, 66399/262144], [-1/4194304, -1/4194304]]]], [[1, 17, 8, 3, 4], [v < -2
^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = 0, And(0 < y,y < -u^2+v^2+1), z = y
^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [0, 0], [
66399/262144, 66399/262144], [32983/65536, 527729/1048576]]]], [[1, 17, 8, 3,
5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = 0, And(0 < y,y < -u^2+v^
2+1), y^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072],
[0, 0], [66399/262144, 66399/262144], [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 =
x, z < 0], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-\
915943/524288, -915943/524288], [-915943/524288, -915943/524288], [-1, -1]]]],
[[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 = x, z = 0], [regular_chain, [[-3, -3], [3396811
/1048576, 3396811/1048576], [-915943/524288, -915943/524288], [-915943/524288,
-915943/524288], [0, 0]]]], [[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 = x, 0 < z], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-915943/524288,
-915943/524288], [-915943/524288, -915943/524288], [1, 1]]]], [[2, 3, 8, 7, 1]
, [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = u^2-3, 2*u^2-4 < y, z < -(y-u^2
+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [505467/1048576, 126367/262144], [4, 4], [-3, -3]]
]], [[2, 3, 8, 7, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = u^2-3, 2*u^
2-4 < y, z = -(y-u^2+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, 7, 3], [v = -2^
(1/2), And(-2 < u,u < -3^(1/2)), x = u^2-3, 2*u^2-4 < y, And(-(y-u^2+3)^(1/2)
< z,z < (y-u^2+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, 7, 4], [v = -2^(1/2), And(-2 < u,
u < -3^(1/2)), x = u^2-3, 2*u^2-4 < y, z = (y-u^2+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, 7, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = u^2-3, 2*u^2-4 <
y, (y-u^2+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, 8, 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], [248903/1048576, 31113/131072], [-3, -3]]]], [[2,
5, 3, 8, 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], [248903/1048576, 31113/131072], [-636691/524288, -1273381/1048576]]]
], [[2, 5, 3, 8, 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], [248903/1048576, 31113/131072], [0, 0]]]]
, [[2, 5, 3, 8, 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], [248903/1048576, 31113/131072], [1273381/1048576, 636691/
524288]]]], [[2, 5, 3, 8, 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], [248903/1048576, 31113/131072], [3, 3]]]], [[2, 6,
7, 2, 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, 2, 5, 1], [v = -2^(1/2), u = -1, x = -2, 0 < y, z <
-(y+2)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1],
[-2, -2], [1, 1], [-3, -3]]]], [[2, 8, 2, 5, 2], [v = -2^(1/2), u = -1, x = -2
, 0 < y, z = -(y+2)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [-1, -1], [-2, -2], [1, 1], [-1816187/1048576, -3632373/2097152]]]], [[2, 8
, 2, 5, 3], [v = -2^(1/2), u = -1, x = -2, 0 < y, And(-(y+2)^(1/2) < z,z < (y+
2)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-2
, -2], [1, 1], [-1/4194304, -1/4194304]]]], [[2, 8, 2, 5, 4], [v = -2^(1/2), u
= -1, x = -2, 0 < y, z = (y+2)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1, -1], [-2, -2], [1, 1], [908093/524288, 1816187/1048576]]]
], [[2, 8, 2, 5, 5], [v = -2^(1/2), u = -1, x = -2, 0 < y, (y+2)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-2, -2], [1, 1]
, [3, 3]]]], [[2, 14, 3, 3, 1], [v = -2^(1/2), u = -v, And(-1 < x,x < 0), And(
x < y,y < 0), z < -(y-x)^(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(x < y,y
< 0), z = -(y-x)^(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, 3, 3], [v = -2^(1/2), u = -v, And(-1 < x,x < 0), And(x < y,y < 0),
And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [v = -2^(1/2), u = -v, And(-1 < x,x < 0), And(x
< y,y < 0), z = (y-x)^(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, 3, 5], [v = -2^(1/2), u = -v, And(-1 < x,x < 0), And(x < y
,y < 0), (y-x)^(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(1 < y,y <
-u^2+4), 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(1 < y,y < -u^2+4), 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(1 < 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], [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(1 < y,y < -u^2+4), 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(1 < y,y < -u^2+4), (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-u^2+3 < y,y < x), 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 = 1, z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [1, 1], [1, 1], [-1, -1]]]], [[3, 9, 10, 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, 10, 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
, 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(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [-\
10006449/4194304, -10006449/4194304], [-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(x < y,y
< 0), z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [3, 3], [-10006449/2097152, -10006449/2097152], [-10006449/4194304, -\
10006449/4194304], [-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(x
< y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [
-10006449/4194304, -10006449/4194304], [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(x < y,y <
0), z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
3, 3], [-10006449/2097152, -10006449/2097152], [-10006449/4194304, -10006449/
4194304], [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(x < y,y < 0)
, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3,
3], [-10006449/2097152, -10006449/2097152], [-10006449/4194304, -10006449/
4194304], [3, 3]]]], [[4, 1, 5, 4, 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, 4, 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, 4, 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, 3, 1], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), And(
x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/
8, -1/8], [-1/16, -1/16], [-2, -2]]]], [[4, 7, 7, 3, 2], [v = -1, And(-1 < u,u
< 0), And(-u^2 < x,x < 0), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), And(x < y,y < 0)
, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1
/2], [-1/8, -1/8], [-1/16, -1/16], [0, 0]]]], [[4, 7, 7, 3, 4], [v = -1, And(-\
1 < u,u < 0), And(-u^2 < x,x < 0), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), And(
x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8
, -1/8], [-1/16, -1/16], [2, 2]]]], [[4, 9, 2, 2, 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, 2, 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, 2, 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, 2, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/
2)), And(0 < x,x < u^2-2), y = x-u^2+2, z = z], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [497805/2097152, 497805/2097152], [-31113/
131072, -248903/1048576], [0, 0]]]], [[4, 14, 9, 3, 1], [v = -1, u = 3^(1/2),
1 < x, And(0 < y,y < x-1), z = z], [regular_chain, [[-1, -1], [908093/524288,
1816187/1048576], [2, 2], [1/2, 1/2], [0, 0]]]], [[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 = 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
, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 1, 1], [And(-1 < v,v
< 0), And(v < u,u < -v), x = -1, y < -1, z = z], [regular_chain, [[-1/2, -1/2]
, [0, 0], [-1, -1], [-2, -2], [0, 0]]]], [[5, 8, 7, 6, 1], [And(-1 < v,v < 0),
u = -v, 1 < x, y = x+1, z < -1], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2
, 2], [3, 3], [-2, -2]]]], [[5, 8, 7, 6, 2], [And(-1 < v,v < 0), u = -v, 1 < x
, y = x+1, z = -1], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2], [3, 3],
[-1, -1]]]], [[5, 8, 7, 6, 3], [And(-1 < v,v < 0), u = -v, 1 < x, y = x+1, And
(-1 < z,z < 1)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2], [3, 3], [0
, 0]]]], [[5, 8, 7, 6, 4], [And(-1 < v,v < 0), u = -v, 1 < x, y = x+1, z = 1],
[regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2], [3, 3], [1, 1]]]], [[5, 8,
7, 6, 5], [And(-1 < v,v < 0), u = -v, 1 < x, y = x+1, 1 < z], [regular_chain,
[[-1/2, -1/2], [1/2, 1/2], [2, 2], [3, 3], [2, 2]]]], [[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 < x-u^2+1, z = z], [regular_chain
, [[0, 0], [-1265743/1048576, -1265743/1048576], [-4, -4], [-6, -6], [0, 0]]]]
, [[6, 4, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = 0, u = 1, 1 <
x, x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [1, 1], [2, 2], [5, 5]
, [-3, -3]]]], [[6, 8, 9, 7, 2], [v = 0, u = 1, 1 < x, x+2 < y, z = -(y-x)^(1/
2)], [regular_chain, [[0, 0], [1, 1], [2, 2], [5, 5], [-1816187/1048576, -\
3632373/2097152]]]], [[6, 8, 9, 7, 3], [v = 0, u = 1, 1 < x, x+2 < y, And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [1, 1], [2, 2], [5, 5
], [-1/4194304, -1/4194304]]]], [[6, 8, 9, 7, 4], [v = 0, u = 1, 1 < x, x+2 <
y, z = (y-x)^(1/2)], [regular_chain, [[0, 0], [1, 1], [2, 2], [5, 5], [908093/
524288, 1816187/1048576]]]], [[6, 8, 9, 7, 5], [v = 0, u = 1, 1 < x, x+2 < y,
(y-x)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [2, 2], [5, 5], [3, 3]]]],
[[6, 10, 3, 1, 1], [v = 0, u = 2^(1/2), And(-3 < x,x < -1), y < x-1, z = z], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-2, -2], [-4, -4],
[0, 0]]]], [[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 = x, z < 0], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-3, -3], [-3, -3], [-1, -1]]]], [[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 = x, z =
0], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-3, -3
], [-3, -3], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-3, -3], [-3, -3], [1, 1]]]], [[7, 6, 3,
7, 1], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 0), x+1 < y, z < -(y-x)^(1/2)
], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1/2, -1/2], [2, 2], [-3, -3]]]
], [[7, 6, 3, 7, 2], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 0), x+1 < y, z
= -(y-x)^(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, 7, 3], [And(0 < v,v < 1)
, u = -v, And(-1 < x,x < 0), x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1/2, -1/2], [2, 2], [0, 0]]]], [[
7, 6, 3, 7, 4], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 0), x+1 < y, z = (y-
x)^(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, 7, 5], [And(0 < v,v < 1), u = -
v, And(-1 < x,x < 0), x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2],
[-1/2, -1/2], [-1/2, -1/2], [2, 2], [3, 3]]]], [[7, 13, 8, 5, 1], [And(0 < v,v
< 1), (v^2+2)^(1/2) < u, x = 1, And(0 < y,y < 1), 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 < 0, z = z], [regular_chain, [[1, 1], [-3, -3], [8, 8],
[-1, -1], [0, 0]]]], [[8, 8, 1, 5, 1], [v = 1, u = 0, x < -2, And(x+2 < y,y <
0), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-3, -3], [-1/2, -1/2]
, [-3, -3]]]], [[8, 8, 1, 5, 2], [v = 1, u = 0, x < -2, And(x+2 < y,y < 0), z
= -(y-x)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-3, -3], [-1/2, -1/2], [-\
3315889/2097152, -207243/131072]]]], [[8, 8, 1, 5, 3], [v = 1, u = 0, x < -2,
And(x+2 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
1, 1], [0, 0], [-3, -3], [-1/2, -1/2], [0, 0]]]], [[8, 8, 1, 5, 4], [v = 1, u
= 0, x < -2, And(x+2 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [0
, 0], [-3, -3], [-1/2, -1/2], [207243/131072, 1657945/1048576]]]], [[8, 8, 1,
5, 5], [v = 1, u = 0, x < -2, And(x+2 < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [0, 0], [-3, -3], [-1/2, -1/2], [3, 3]]]], [[8, 9, 8,
1, 1], [v = 1, And(0 < u,u < 1), x = 0, y < 0, z = z], [regular_chain, [[1, 1]
, [1/2, 1/2], [0, 0], [-1, -1], [0, 0]]]], [[8, 14, 1, 2, 1], [v = 1, u = 3^(1
/2), x < -3, y = x-1, z = z], [regular_chain, [[1, 1], [908093/524288, 1816187
/1048576], [-4, -4], [-5, -5], [0, 0]]]], [[8, 15, 5, 7, 1], [v = 1, 3^(1/2) <
u, And(-1 < x,x < 0), And(0 < y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain,
[[1, 1], [3, 3], [-1/2, -1/2], [17/4, 17/4], [-4, -4]]]], [[8, 15, 5, 7, 2], [
v = 1, 3^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < u^2+x), z = -(y-x)^(1/2)]
, [regular_chain, [[1, 1], [3, 3], [-1/2, -1/2], [17/4, 17/4], [-2285319/
1048576, -1142659/524288]]]], [[8, 15, 5, 7, 3], [v = 1, 3^(1/2) < u, And(-1 <
x,x < 0), And(0 < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [3, 3], [-1/2, -1/2], [17/4, 17/4], [0, 0]]]], [[8, 15
, 5, 7, 4], [v = 1, 3^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < u^2+x), z =
(y-x)^(1/2)], [regular_chain, [[1, 1], [3, 3], [-1/2, -1/2], [17/4, 17/4], [
1142659/524288, 2285319/1048576]]]], [[8, 15, 5, 7, 5], [v = 1, 3^(1/2) < u, 
And(-1 < x,x < 0), And(0 < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[1
, 1], [3, 3], [-1/2, -1/2], [17/4, 17/4], [4, 4]]]], [[9, 6, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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,
9, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x <
1), x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/2, 1/2], [4, 4], [-\
3, -3]]]], [[9, 7, 9, 9, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^
(1/2)), And(0 < x,x < 1), x-u^2+v^2+1 < y, z = -(y-x)^(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, 9, 3], [And
(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), x-u^2+v
^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/2, 1/2], [
4, 4], [0, 0]]]], [[9, 7, 9, 9, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(
v^2-1)^(1/2)), And(0 < x,x < 1), x-u^2+v^2+1 < y, z = (y-x)^(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, 9, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(0
< x,x < 1), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/2, 1/2], [
4, 4], [3, 3]]]], [[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 < -1), z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [-\
1288231/1048576, -1288231/1048576], [0, 0]]]], [[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(x-u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [-10, -10], [-27832241/2097152, -\
27832241/2097152], [0, 0]]]], [[10, 1, 3, 8, 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, 8, 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, 8, 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, 8, 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, 8,
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, 4, 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], [-497807/
1048576, -248903/524288], [-2, -2]]]], [[10, 5, 4, 4, 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], [-497807/1048576, -248903/524288], [-379975/524288, -1519899/2097152]]]],
[[10, 5, 4, 4, 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], [-497807/
1048576, -248903/524288], [-1/4194304, -1/4194304]]]], [[10, 5, 4, 4, 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], [-497807/1048576, -248903/524288], [759949/1048576, 379975
/524288]]]], [[10, 5, 4, 4, 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], [-497807/1048576, -\
248903/524288], [2, 2]]]], [[10, 7, 1, 5, 1], [v = 2^(1/2), And(-v < u,u < -1)
, x < u^2-3, And(u^2+x-1 < y,y < x-u^2+3), z < -(y-x)^(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-1 < y,y < x-u^2+3), z = -(y-x)^(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-1 < y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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-1 < y,y < x-u^2+3), z = (y-x)^(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-1 < y,y < x-u^2+3), (y-x)^(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-1, z < -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-3, -3], [-5332835/2097152, -2666417/1048576], [-2, -2]]]], [[10, 
13, 1, 4, 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], [-5332835/2097152, -2666417/1048576], [-\
1417877/2097152, -354469/524288]]]], [[10, 13, 1, 4, 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], [-5332835/2097152, -2666417/1048576], [0, 0]]]], [[10, 13,
1, 4, 4], [v = 2^(1/2), And(1 < u,u < v), x < u^2-3, y = u^2+x-1, z = (u^2-1)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [-3, -3], [-5332835/2097152, -2666417/1048576], [354469/
524288, 708939/1048576]]]], [[10, 13, 1, 4, 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], [-5332835/
2097152, -2666417/1048576], [2, 2]]]], [[10, 14, 5, 1, 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], [-1, -1], [0, 0]]]], [
[11, 2, 3, 4, 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, 4, 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, 4, 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, 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 < -(y-x)^(1/2)], [regular_chain, [[3
, 3], [-3396811/1048576, -3396811/1048576], [129511/524288, 129511/524288], [4
, 4], [-3, -3]]]], [[11, 3, 7, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(1/2)],
[regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [129511/524288,
129511/524288], [4, 4], [-8125459/4194304, -16250917/8388608]]]], [[11, 3, 7,
9, 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), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [129511/524288,
129511/524288], [4, 4], [-5/16777216, -5/16777216]]]], [[11, 3, 7, 9, 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)
, u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [129511/524288, 129511/524288], [4, 4], [507841/
262144, 2031365/1048576]]]], [[11, 3, 7, 9, 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), u^2-v^2+x+1 < y, (y-x)^(
1/2) < z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [
129511/524288, 129511/524288], [4, 4], [3, 3]]]], [[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 = 0, z = z], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [2, 2], [0, 0]
, [0, 0]]]], [[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(0 < y,y < -u^2+v^2), z < -(y+1)^(1/2)], [regular_chain
, [[3, 3], [0, 0], [-1, -1], [9/2, 9/2], [-4, -4]]]], [[11, 11, 4, 7, 2], [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), z = -(y+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-1, -1], [9/2, 9/
2], [-2459129/1048576, -307391/131072]]]], [[11, 11, 4, 7, 3], [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), 
And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[3, 3], [0, 0], [-1,
-1], [9/2, 9/2], [0, 0]]]], [[11, 11, 4, 7, 4], [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), z = (y+1)^(1/2)],
[regular_chain, [[3, 3], [0, 0], [-1, -1], [9/2, 9/2], [307391/131072, 2459129
/1048576]]]], [[11, 11, 4, 7, 5], [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), (y+1)^(1/2) < z], [regular_chain
, [[3, 3], [0, 0], [-1, -1], [9/2, 9/2], [4, 4]]]], [[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(u^2-v^2+
x+1 < y,y < 0), z < -(y-x)^(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(u^2-v^2+x+1 < y,y < 0), z = -(y-x)^(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(u^2-v^2+x+1 < y,y < 0), And(-(y-x)^(1/
2) < z,z < (y-x)^(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(u^2-v^2+x+1 < y,y < 0), z = (
y-x)^(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(u^2-v^2+x+1 < y,y < 0), (y-x)^(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 = 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, 6, 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, 6, 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, 6, 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, 6,
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]]]], [[1, 1, 7, 5, 1], [v < -2
^(1/2), u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(0 < y,y < x), 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 = x, z < 0], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [2, 2], [2, 2],
[-1, -1]]]], [[1, 2, 9, 6, 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, 6, 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, 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 < -1), z = z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1, -1], [-\
5260375/4194304, -5260375/4194304], [0, 0]]]], [[1, 10, 6, 2, 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, 7, 2
, 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, 15, 11, 7, 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-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain
, [[-3, -3], [6111549/2097152, 6111549/2097152], [2, 2], [3, 3], [-2, -2]]]],
[[1, 15, 11, 7, 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-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3],
[6111549/2097152, 6111549/2097152], [2, 2], [3, 3], [-1, -1]]]], [[1, 15, 11,
7, 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-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
-3, -3], [6111549/2097152, 6111549/2097152], [2, 2], [3, 3], [0, 0]]]], [[1, 
15, 11, 7, 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-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [2, 2], [3, 3], [1, 1]]]], [[1, 15, 11, 7,
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-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152,
6111549/2097152], [2, 2], [3, 3], [2, 2]]]], [[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(-1 < y,y <
0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^
(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(-1 < y,y < 0), (y+1)^(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 < -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], [17/8, 17/8], [-3, -3]]]], [[2, 9, 8
, 5, 2], [v = -2^(1/2), And(-1 < u,u < 0), x = -u^2+1, And(-u^2+1 < y,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], [17/8, 17/8], [-1229565/1048576, -307391/
262144]]]], [[2, 9, 8, 5, 3], [v = -2^(1/2), And(-1 < u,u < 0), x = -u^2+1, 
And(-u^2+1 < 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], [-1/2, -1/2], [3/4, 3/4],
[17/8, 17/8], [0, 0]]]], [[2, 9, 8, 5, 4], [v = -2^(1/2), And(-1 < u,u < 0), x
= -u^2+1, And(-u^2+1 < y,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], [17/8, 17/8], [
307391/262144, 1229565/1048576]]]], [[2, 9, 8, 5, 5], [v = -2^(1/2), And(-1 <
u,u < 0), x = -u^2+1, And(-u^2+1 < y,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],
[17/8, 17/8], [3, 3]]]], [[2, 11, 1, 6, 1], [v = -2^(1/2), And(0 < u,u < 1), x
< u^2-3, y = x-u^2+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
, 6, 2], [v = -2^(1/2), And(0 < u,u < 1), x < u^2-3, y = x-u^2+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, 6, 3
], [v = -2^(1/2), And(0 < u,u < 1), x < u^2-3, y = x-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], [-4, -4], [-5/4, -5/4], [-1/4194304, -1/4194304]]]], [[2, 11, 1
, 6, 4], [v = -2^(1/2), And(0 < u,u < 1), x < u^2-3, y = x-u^2+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, 6, 5], [v
= -2^(1/2), And(0 < u,u < 1), x < u^2-3, y = x-u^2+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, 17, 5, 3, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2),
And(-1 < x,x < 0), And(x-u^2+3 < y,y < x), z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [-\
24864689/33554432, -24864689/33554432], [0, 0]]]], [[2, 18, 7, 4, 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, 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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-14373233/8388608, -14373233/8388608], [0, 0], [2599117/
1048576, 1299559/524288], [-3, -3]]]], [[3, 3, 6, 6, 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], [2599117/1048576, 1299559/524288
], [-3301741/2097152, -825435/524288]]]], [[3, 3, 6, 6, 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], [
2599117/1048576, 1299559/524288], [0, 0]]]], [[3, 3, 6, 6, 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], [2599117/1048576, 1299559/
524288], [825435/524288, 1650871/1048576]]]], [[3, 3, 6, 6, 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], [2599117/1048576, 1299559/
524288], [3, 3]]]], [[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 < 0), z < -(y-x)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3, -3], [-1606915/2097152, -1606915/2097152], [-3, -3]]]],
[[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 < 0), z = -(y-x)^(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, 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 < 0), And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-3, -3], [-1606915/2097152, -1606915/
2097152], [0, 0]]]], [[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 < 0), z = (y-x)^(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, 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 < 0), (y-x)^(
1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-3, -3], [-1606915/2097152, -1606915/2097152], [3
, 3]]]], [[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 = 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], [-299103/1048576, -149551/524288],
[-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 = 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], [-299103/1048576, -149551/
524288], [-1374407/2097152, -687203/1048576]]]], [[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
= u^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], [-299103/1048576, -149551/524288],
[0, 0]]]], [[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 = 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], [-299103/1048576, -149551/524288]
, [687203/1048576, 171801/262144]]]], [[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 = 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],
[-299103/1048576, -149551/524288], [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 < -u^2+v^2-1, z
= z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576,
1454701/1048576], [-384703/262144, -1538811/1048576], [-3, -3], [0, 0]]]], [[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, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1643659/1048576, 410915/262144], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[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(0 < y,y < -u^2+v^2+2), z = z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [898327/524288, 898327/524288], [1, 1], [273305/1048576,
273305/1048576], [0, 0]]]], [[4, 4, 5, 5, 1], [v = -1, u = -2^(1/2), And(-1 <
x,x < 0), And(0 < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [3/4, 3/4], [-3, -3]]]], [[4,
4, 5, 5, 2], [v = -1, u = -2^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), z =
-(y-x)^(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, 5,
3], [v = -1, u = -2^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), And(-(y-x)^(
1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [3/4, 3/4], [0, 0]]]], [[4, 4, 5, 5, 4], [v = -1
, u = -2^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), z = (y-x)^(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, 5, 5], [v = -1, u =
-2^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [3
/4, 3/4], [3, 3]]]], [[4, 5, 10, 7, 1], [v = -1, And(-2^(1/2) < u,u < -1), x =
1, And(-u^2+3 < y,y < u^2+1), z < -(y-1)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [1, 1], [2, 2], [-2, -2]]]], [[4, 5, 10, 7
, 2], [v = -1, And(-2^(1/2) < u,u < -1), x = 1, And(-u^2+3 < y,y < u^2+1), z =
-(y-1)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576]
, [1, 1], [2, 2], [-1, -1]]]], [[4, 5, 10, 7, 3], [v = -1, And(-2^(1/2) < 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], [-1265743/1048576, -1265743/1048576], [1, 1], [2
, 2], [0, 0]]]], [[4, 5, 10, 7, 4], [v = -1, And(-2^(1/2) < u,u < -1), x = 1,
And(-u^2+3 < y,y < u^2+1), z = (y-1)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [1, 1], [2, 2], [1, 1]]]], [[4, 5, 10, 7,
5], [v = -1, And(-2^(1/2) < u,u < -1), x = 1, And(-u^2+3 < y,y < u^2+1), (y-1)
^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576],
[1, 1], [2, 2], [2, 2]]]], [[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, u^2+x < y, z < -(y-x)^(1/2)], [regular_chain,
[[-1, -1], [1265743/1048576, 1265743/1048576], [2, 2], [5, 5], [-3, -3]]]], [[
4, 11, 11, 9, 2], [v = -1, And(1 < u,u < 2^(1/2)), 1 < x, u^2+x < y, z = -(y-x
)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [2, 2
], [5, 5], [-1816187/1048576, -3632373/2097152]]]], [[4, 11, 11, 9, 3], [v = -\
1, And(1 < u,u < 2^(1/2)), 1 < x, u^2+x < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1
/2))], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [2, 2],
[5, 5], [-1/4194304, -1/4194304]]]], [[4, 11, 11, 9, 4], [v = -1, And(1 < u,u
< 2^(1/2)), 1 < x, u^2+x < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [2, 2], [5, 5], [908093/524288, 1816187/
1048576]]]], [[4, 11, 11, 9, 5], [v = -1, And(1 < u,u < 2^(1/2)), 1 < x, u^2+x
< y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [2, 2], [5, 5], [3, 3]]]], [[5, 2, 8, 3, 1], [And(-1 < v,v < 0), u =
-(v^2+2)^(1/2), x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[-1/2, -1/2]
, [-3/2, -3/2], [1, 1], [1/2, 1/2], [0, 0]]]], [[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, 2*u^2-2*v^2
< y, z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144,
343151/262144], [243021/524288, 486043/1048576], [4, 4], [-3, -3]]]], [[5, 11,
8, 7, 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, 2*u^2-2*v^2 < y, z = -(y-u^2+v^2+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, 7, 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, 2*u^2-2*v^2 < y, 
And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+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, 7, 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, 2*u^2-2*v^2 < y, z = (y-u
^2+v^2+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, 7, 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, 2*u^2-2*v^2 < y, (y-u^2+v^2+1)^(1/2) < z], [regular_chain
, [[-1/2, -1/2], [343151/262144, 343151/262144], [243021/524288, 486043/
1048576], [4, 4], [3, 3]]]], [[5, 13, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 5, 9, 4, 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, 4, 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, 4, 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, 5, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 1, 1], [v =
0, 2^(1/2) < u, And(0 < x,x < 1), y < x-u^2+1, z = z], [regular_chain, [[0, 0]
, [3, 3], [1/2, 1/2], [-9, -9], [0, 0]]]], [[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 < -(y-1)^(1/2)], [regular_chain,
[[1/2, 1/2], [-3, -3], [1, 1], [12, 12], [-5, -5]]]], [[7, 1, 8, 9, 2], [And(0
< v,v < 1), u < -(v^2+2)^(1/2), x = 1, u^2-v^2+2 < y, z = -(y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [1, 1], [12, 12], [-1738867/524288, -\
3477733/1048576]]]], [[7, 1, 8, 9, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2),
x = 1, u^2-v^2+2 < y, 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, 9, 4], [And(0 <
v,v < 1), u < -(v^2+2)^(1/2), x = 1, u^2-v^2+2 < y, z = (y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [1, 1], [12, 12], [3477733/1048576, 
1738867/524288]]]], [[7, 1, 8, 9, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x
= 1, u^2-v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3, -3], [
1, 1], [12, 12], [5, 5]]]], [[7, 7, 11, 1, 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], [-1,
-1], [0, 0]]]], [[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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z < -(y-x
)^(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, 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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), And(-(y-
x)^(1/2) < z,z < (y-x)^(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, 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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1)
, z = (y-x)^(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, 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(x-u^2+v^2+1 < y,y < u^2-
v^2+x+1), (y-x)^(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, 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], [-2583195/1048576, -1291597/524288], [-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], [-2583195/1048576, -\
1291597/524288], [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], [-2583195/1048576, -1291597/524288], [1, 1]]]], [[7, 12, 4,
9, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -1, 2 < y, z < -(y+1)^(1/2)],
[regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1, -1], [3, 3], [-3, -3]]]], [[7, 
12, 4, 9, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -1, 2 < y, z = -(y+1)^
(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1, -1], [3, 3], [-2, -2]]]]
, [[7, 12, 4, 9, 3], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -1, 2 < y, And(
-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [
-1, -1], [3, 3], [0, 0]]]], [[7, 12, 4, 9, 4], [And(0 < v,v < 1), u = (v^2+2)^
(1/2), x = -1, 2 < y, z = (y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2
], [-1, -1], [3, 3], [2, 2]]]], [[7, 12, 4, 9, 5], [And(0 < v,v < 1), u = (v^2
+2)^(1/2), x = -1, 2 < y, (y+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3/2,
3/2], [-1, -1], [3, 3], [3, 3]]]], [[8, 5, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = 1, u = -1, x = 1, And(1 < y,y < 2), z < -(y-1)^(1/
2)], [regular_chain, [[1, 1], [-1, -1], [1, 1], [3/2, 3/2], [-2, -2]]]], [[8,
6, 6, 5, 2], [v = 1, u = -1, x = 1, And(1 < y,y < 2), z = -(y-1)^(1/2)], [
regular_chain, [[1, 1], [-1, -1], [1, 1], [3/2, 3/2], [-1482911/2097152, -\
741455/1048576]]]], [[8, 6, 6, 5, 3], [v = 1, u = -1, x = 1, And(1 < y,y < 2),
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, 5, 4], [v = 1, u = -1, x = 1, And(1 < y,
y < 2), z = (y-1)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [1, 1], [3/2, 3/2
], [741455/1048576, 46341/65536]]]], [[8, 6, 6, 5, 5], [v = 1, u = -1, x = 1,
And(1 < y,y < 2), (y-1)^(1/2) < z], [regular_chain, [[1, 1], [-1, -1], [1, 1],
[3/2, 3/2], [2, 2]]]], [[8, 11, 4, 3, 1], [v = 1, And(1 < u,u < 2^(1/2)), x =
-1, And(-1 < y,y < -u^2+1), z < -(y+1)^(1/2)], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-1, -1], [-1527887/2097152, -1527887/
2097152], [-2, -2]]]], [[8, 11, 4, 3, 2], [v = 1, And(1 < u,u < 2^(1/2)), x =
-1, And(-1 < y,y < -u^2+1), z = -(y+1)^(1/2)], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-1, -1], [-1527887/2097152, -1527887/
2097152], [-273157/524288, -1092627/2097152]]]], [[8, 11, 4, 3, 3], [v = 1, 
And(1 < u,u < 2^(1/2)), x = -1, And(-1 < y,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], [-1527887/2097152, -1527887/2097152], [-1/4194304, -1/4194304]]]], [
[8, 11, 4, 3, 4], [v = 1, And(1 < u,u < 2^(1/2)), x = -1, And(-1 < y,y < -u^2+
1), z = (y+1)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-1, -1], [-1527887/2097152, -1527887/2097152], [546313/1048576, 
273157/524288]]]], [[8, 11, 4, 3, 5], [v = 1, And(1 < u,u < 2^(1/2)), x = -1,
And(-1 < y,y < -u^2+1), (y+1)^(1/2) < z], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-1, -1], [-1527887/2097152, -1527887/2097152], [2,
2]]]], [[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(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y
+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z
< (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y <
0), (y+1)^(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 = 3, z < -2
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144,
-3287319/2097152], [1, 1], [3, 3], [-3, -3]]]], [[9, 4, 8, 6, 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, 6, 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, 6, 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, 6, 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, 1, 4, 1], [And(1 < v,v < 2^(1/2)), u = v, x < -1,
y = x+1, 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 = x+1, 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 = x+1, 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 =
x+1, 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 = x+1, 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-u^2+v^2+1 < y,y < u^2-v^2+x+1), z
< -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701
/1048576, 1454701/1048576], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[9, 13, 9, 7
, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1),
And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1
/2], [3/2, 3/2], [-1, -1]]]], [[9, 13, 9, 7, 3], [And(1 < v,v < 2^(1/2)), And(
v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(x-u^2+v^2+1 < y,y < u^2-v^2+x+
1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576,
1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [3/2, 3/2],
[0, 0]]]], [[9, 13, 9, 7, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(
1/2)), And(0 < x,x < 1), And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[9, 13, 9, 7, 5], [And(1
< v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(x-u^2+v^
2+1 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [3/2, 3/2],
[2, 2]]]], [[10, 2, 5, 2, 1], [v = 2^(1/2), u = -2, And(-1 < x,x < 0), y = x-1
, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1/2,
-1/2], [-3/2, -3/2], [0, 0]]]], [[10, 3, 9, 9, 1], [v = 2^(1/2), And(-2 < u,u
< -3^(1/2)), And(u^2-3 < x,x < 1), u^2+x-1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [388511/524288, 388511/524288], [5, 5], [-4, -4]]]], [[10, 3, 9, 9,
2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(u^2-3 < x,x < 1), u^2+x-1 < y,
z = -(y-x)^(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, 9, 3], [v = 2^(1/2), And(-2 <
u,u < -3^(1/2)), And(u^2-3 < x,x < 1), u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [388511/524288, 388511/524288], [5, 5], [0, 0]]]],
[[10, 3, 9, 9, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(u^2-3 < x,x < 1
), u^2+x-1 < y, z = (y-x)^(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, 9, 5], [v = 2^(1/2)
, And(-2 < u,u < -3^(1/2)), And(u^2-3 < x,x < 1), u^2+x-1 < y, (y-x)^(1/2) < z
], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [388511/524288, 388511/524288], [5, 5], [4, 4]]]], [[10, 8,
3, 7, 1], [v = 2^(1/2), u = -1, And(-2 < x,x < -1), x+2 < y, z < -(y-x)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-3/2, -3/2], [
2, 2], [-3, -3]]]], [[10, 8, 3, 7, 2], [v = 2^(1/2), u = -1, And(-2 < x,x < -1
), x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [-3/2, -3/2], [2, 2], [-7846825/4194304, -980853/524288]]]
], [[10, 8, 3, 7, 3], [v = 2^(1/2), u = -1, And(-2 < x,x < -1), x+2 < y, And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [-3/2, -3/2], [2, 2], [0, 0]]]], [[10, 8, 3, 7, 4], [v = 2
^(1/2), u = -1, And(-2 < x,x < -1), x+2 < y, z = (y-x)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-1, -1], [-3/2, -3/2], [2, 2], [980853/
524288, 1961707/1048576]]]], [[10, 8, 3, 7, 5], [v = 2^(1/2), u = -1, And(-2 <
x,x < -1), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911
/1048576], [-1, -1], [-3/2, -3/2], [2, 2], [3, 3]]]], [[10, 9, 9, 8, 1], [v =
2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), y = x-u^2+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, 8, 2], [v = 2^(1/2), And(-1 < u,u
< 0), And(-u^2+1 < x,x < 1), y = x-u^2+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, 8, 3], [v = 2^(1/2), And(-\
1 < u,u < 0), And(-u^2+1 < x,x < 1), y = x-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], [7/8, 7/8], [29/8, 29/8], [-1/4194304, -1/4194304]]]], [[10, 9, 9, 8, 4],
[v = 2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), y = x-u^2+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, 8, 5
], [v = 2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), y = x-u^2+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, 15, 11, 1, 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], [-1, -1], [0, 0]
]]], [[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 < 0, z = z], [regular_chain, [[741455/524288, 1482911
/1048576], [2, 2], [1, 1], [-1, -1], [0, 0]]]], [[11, 1, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6
, 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, 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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-657289/524288,
-657289/524288], [-8450337/8388608, -8450337/8388608], [-2, -2]]]], [[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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288], [-\
8450337/8388608, -8450337/8388608], [-16263/32768, -520415/1048576]]]], [[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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-657289/524288,
-657289/524288], [-8450337/8388608, -8450337/8388608], [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(x < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288], [-\
8450337/8388608, -8450337/8388608], [520415/1048576, 16263/32768]]]], [[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(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288], [-\
8450337/8388608, -8450337/8388608], [2, 2]]]], [[11, 8, 7, 2, 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, 6, 2, 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, 10, 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+2 < y, z < -(y-1)^(1/2)], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [1, 1], [5, 5], [-3, -3]]]], [[11, 13, 10, 9,
2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, -u^2+v^2+2
< y, z = -(y-1)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [1, 1], [5, 5], [-2, -2]]]], [[11, 13, 10, 9, 3], [2^(1/2) < v, And((
v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, -u^2+v^2+2 < y, 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, 9, 4], [2^(1/2) < v, And((v^2-2)^(1
/2) < u,u < (v^2-1)^(1/2)), x = 1, -u^2+v^2+2 < y, z = (y-1)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1, 1], [5, 5], [2,
2]]]], [[11, 13, 10, 9, 5], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1
/2)), x = 1, -u^2+v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [1, 1], [5, 5], [3, 3]]]], [[11, 20, 3, 4, 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, 4, 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, 4, 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,
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 <
-(y-x)^(1/2)], [regular_chain, [[3, 3], [5, 5], [1/2, 1/2], [19, 19], [-6, -6]
]]], [[11, 21, 7, 9, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(0 < x,x < 1), u^
2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [5, 5], [1/2, 1/2],
[19, 19], [-281881/65536, -4510095/1048576]]]], [[11, 21, 7, 9, 3], [2^(1/2) <
v, (v^2+2)^(1/2) < u, And(0 < x,x < 1), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,
z < (y-x)^(1/2))], [regular_chain, [[3, 3], [5, 5], [1/2, 1/2], [19, 19], [0,
0]]]], [[11, 21, 7, 9, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(0 < x,x < 1),
u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [5, 5], [1/2, 1/2]
, [19, 19], [4510095/1048576, 281881/65536]]]], [[11, 21, 7, 9, 5], [2^(1/2) <
v, (v^2+2)^(1/2) < u, And(0 < x,x < 1), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [5, 5], [1/2, 1/2], [19, 19], [6, 6]]]], [[1, 4, 3, 2,
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, 2, 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, 2,
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, 8, 6, 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], [1565959/1048576, 195745/131072]
, [-3, -3]]]], [[1, 5, 8, 6, 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], [1565959/1048576, 195745/131072], [-\
1281417/1048576, -160177/131072]]]], [[1, 5, 8, 6, 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], [1565959/1048576, 195745/131072], [0, 0]]]], [[1, 5, 8, 6, 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],
[1565959/1048576, 195745/131072], [160177/131072, 1281417/1048576]]]], [[1, 5,
8, 6, 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], [1565959/1048576, 195745/131072], [3, 3]]]], [[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(0 < y,y < -u^2+v^2-1), z = z], [regular_chain, [[-3, -3], [0, 0], [8, 8],
[4, 4], [0, 0]]]], [[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 = 0, z < -(-x)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-919691/524288, -\
919691/524288], [0, 0], [-3, -3]]]], [[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 = 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, 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 = 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, 6, 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, 6, 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, 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], [66399/131072, 531193/1048576], [-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], [66399/131072, 531193/1048576], [-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], [66399/
131072, 531193/1048576], [-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],
[66399/131072, 531193/1048576], [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], [66399/131072, 531193/1048576], [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(x < y,y < 0), z < -(y-x)^(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(x < y,y
< 0), z = -(y-x)^(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(x <
y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = 2*u^2-4, z < -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [
505467/1048576, 126367/262144], [1554043/524288, 3108087/1048576], [-3, -3]]]]
, [[2, 3, 8, 6, 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], [
1554043/524288, 3108087/1048576], [-825991/524288, -3303963/2097152]]]], [[2,
3, 8, 6, 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], [1554043/524288, 3108087/1048576], [-1/4194304, -1/4194304]]]]
, [[2, 3, 8, 6, 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], [
1554043/524288, 3108087/1048576], [1651981/1048576, 825991/524288]]]], [[2, 3,
8, 6, 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], [1554043/
524288, 3108087/1048576], [3, 3]]]], [[2, 5, 3, 7, 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-1), z < -(y-x)^(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, 7, 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-1), z = -(y-x)^(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, 7, 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
-1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 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-1), z = (y-x)^(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, 7, 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-1), (y-x)^(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, 3, 1], [v = -2^(1/2), u = v, 1 < x, And(0 < y,y < x), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [2, 2], [1, 1], [0, 0]]]], [[2, 8, 3, 1, 1], [v = -2^(1/2), u = -1,
And(-2 < x,x < -1), y < x, z = z], [regular_chain, [[-1482911/1048576, -741455
/524288], [-1, -1], [-3/2, -3/2], [-3, -3], [0, 0]]]], [[2, 14, 3, 2, 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, 2, 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, 2, 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]]]], [[2, 15, 10, 4, 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, 4, 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, 4,
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, 6, 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, 6, 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, 6, 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, 5, 1], [And(-2^(1/2) < v,v < -1)
, u = -(v^2+2)^(1/2), x = -3, And(-3 < y,y < 0), z < -(y+3)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-3, -3], [-3/2, -3/2], [-3, -3]]]], [[3, 2, 2, 5, 2], [And(
-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -3, And(-3 < y,y < 0), z = -(y+3
)^(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, 5, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2),
x = -3, And(-3 < y,y < 0), And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-3, -3], [-3/2, -3/2], [0, 0]]]], [[3, 2, 2, 5, 4], [And(-2
^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -3, And(-3 < y,y < 0), z = (y+3)^(
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, 5, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2),
x = -3, And(-3 < y,y < 0), (y+3)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-3, -3], [-\
3/2, -3/2], [3, 3]]]], [[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 < y,y < 0), z < -(y-x)^(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, 3, 2], [
And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y <
0), z = -(y-x)^(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, 3, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-1 < x
,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [And(
-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0),
z = (y-x)^(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, 3, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-1 < x,x <
0), And(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [-1/2, -1/2], [-1/4, -1/
4], [2, 2]]]], [[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(u^2-v^2+2 < y,y < 1), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1, 1], [808921/
1048576, 808921/1048576], [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 = x, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10006449/
2097152, -10006449/2097152], [-10006449/2097152, -10006449/2097152], [-1, -1]]
]], [[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 = x, z = 0], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [-10006449/2097152,
-10006449/2097152], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [3, 3], [-10006449/2097152, -10006449/
2097152], [-10006449/2097152, -10006449/2097152], [1, 1]]]], [[4, 1, 5, 3, 1],
[v = -1, u < -3^(1/2), And(-1 < x,x < 0), And(x-u^2+2 < y,y < x), z = z], [
regular_chain, [[-1, -1], [-3, -3], [-1/2, -1/2], [-4, -4], [0, 0]]]], [[4, 7,
7, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 2, 3, 1], [v = -1, And(0 < u,u <
1), x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), z < -(y-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-7/4, -7/4], [-13/8, -13/8], [-2, -2]]]
], [[4, 9, 2, 3, 2], [v = -1, And(0 < u,u < 1), x = u^2-2, And(u^2-2 < y,y < 2
*u^2-2), z = -(y-u^2+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, 3, 3],
[v = -1, And(0 < u,u < 1), x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), And(-(y-u^2+
2)^(1/2) < z,z < (y-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [-7
/4, -7/4], [-13/8, -13/8], [0, 0]]]], [[4, 9, 2, 3, 4], [v = -1, And(0 < u,u <
1), x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), z = (y-u^2+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, 3, 5], [v = -1, And(0 < u,u < 1), x = u^
2-2, And(u^2-2 < y,y < 2*u^2-2), (y-u^2+2)^(1/2) < z], [regular_chain, [[-1, -\
1], [1/2, 1/2], [-7/4, -7/4], [-13/8, -13/8], [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 < x-u^2+2, z = z],
[regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [497805/2097152
, 497805/2097152], [-2, -2], [0, 0]]]], [[4, 14, 9, 2, 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, 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(0 < y,y < x-u^2+v^2+
1), z < -(y-x)^(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(0 < y,y < x-u^2+v^2+1), z =
-(y-x)^(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(0 < y,y
< x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(0 < y,y < x-u^2+v^2+1), z = (y-x)^(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(0 < y,y < x-u^2+v^2+1), (y-x)^(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 = -1, z < 0], [
regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [-1, -1], [-1, -1]]]], [[5, 7,
4, 2, 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
, 2, 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, 7
, 5, 1], [And(-1 < v,v < 0), u = -v, 1 < x, And(x < y,y < x+1), z < -(y-x)^(1/
2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2], [5/2, 5/2], [-2, -2]]]
], [[5, 8, 7, 5, 2], [And(-1 < v,v < 0), u = -v, 1 < x, And(x < y,y < x+1), z
= -(y-x)^(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, 5, 3], [And(-1 < v,v < 0)
, u = -v, 1 < x, And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2], [5/2, 5/2], [0, 0]]]], [[5,
8, 7, 5, 4], [And(-1 < v,v < 0), u = -v, 1 < x, And(x < y,y < x+1), z = (y-x)^
(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, 5, 5], [And(-1 < v,v < 0), u = -v, 1 < x
, And(x < y,y < x+1), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1/2, 1
/2], [2, 2], [5/2, 5/2], [2, 2]]]], [[5, 10, 3, 3, 1], [And(-1 < v,v < 0), u =
(v^2+1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z < -(y-x)^(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, 3, 2], [And(-1 < v,v < 0), u = (v^2+1)^
(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [And(-1 < v,v < 0)
, u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), And(-(y-x)^(1/2) <
z,z < (y-x)^(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,
3, 4], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(x < y,y
< 0), z = (y-x)^(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, 3, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-2 < x,x < -1)
, And(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1172343/
1048576, 146543/131072], [-3/2, -3/2], [-3/4, -3/4], [2, 2]]]], [[6, 3, 1, 2,
1], [v = 0, And(-2^(1/2) < u,u < -1), x < -u^2-1, y = x-u^2+1, z = z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-4, -4], [-\
4673615/1048576, -2336807/524288], [0, 0]]]], [[6, 4, 3, 7, 1], [v = 0, u = -1
, And(-2 < x,x < -1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1
, -1], [-3/2, -3/2], [2, 2], [-3, -3]]]], [[6, 4, 3, 7, 2], [v = 0, u = -1, 
And(-2 < x,x < -1), x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1,
-1], [-3/2, -3/2], [2, 2], [-7846825/4194304, -980853/524288]]]], [[6, 4, 3, 7
, 3], [v = 0, u = -1, And(-2 < x,x < -1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y
-x)^(1/2))], [regular_chain, [[0, 0], [-1, -1], [-3/2, -3/2], [2, 2], [0, 0]]]
], [[6, 4, 3, 7, 4], [v = 0, u = -1, And(-2 < x,x < -1), x+2 < y, z = (y-x)^(1
/2)], [regular_chain, [[0, 0], [-1, -1], [-3/2, -3/2], [2, 2], [980853/524288,
1961707/1048576]]]], [[6, 4, 3, 7, 5], [v = 0, u = -1, And(-2 < x,x < -1), x+2
< y, (y-x)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [-3/2, -3/2], [2, 2]
, [3, 3]]]], [[6, 8, 9, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = 0, u = 2^(1/2), x = -3, 0 < y, z < -(y+3)^(1/2)], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-3, -3], [1, 1], [-\
3, -3]]]], [[6, 10, 2, 7, 2], [v = 0, u = 2^(1/2), x = -3, 0 < y, z = -(y+3)^(
1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-3, -3], [1
, 1], [-2, -2]]]], [[6, 10, 2, 7, 3], [v = 0, u = 2^(1/2), x = -3, 0 < y, And(
-(y+3)^(1/2) < z,z < (y+3)^(1/2))], [regular_chain, [[0, 0], [741455/524288, 
1482911/1048576], [-3, -3], [1, 1], [0, 0]]]], [[6, 10, 2, 7, 4], [v = 0, u =
2^(1/2), x = -3, 0 < y, z = (y+3)^(1/2)], [regular_chain, [[0, 0], [741455/
524288, 1482911/1048576], [-3, -3], [1, 1], [2, 2]]]], [[6, 10, 2, 7, 5], [v =
0, u = 2^(1/2), x = -3, 0 < y, (y+3)^(1/2) < z], [regular_chain, [[0, 0], [
741455/524288, 1482911/1048576], [-3, -3], [1, 1], [3, 3]]]], [[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(x < y
,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-3, -3], [-2833519/1048576, -2833519/1048576], [-\
2, -2]]]], [[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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(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, 3, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^
2-1, And(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3,
4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(x <
y,y < x-u^2+v^2+1), z = (y-x)^(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, 3, 5], [And(0 < v,v < 1), And(-(
v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(x < y,y < x-u^2+v^2+1), (y-x)^(1
/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [
-3, -3], [-2833519/1048576, -2833519/1048576], [2, 2]]]], [[7, 6, 4, 1, 1], [
And(0 < v,v < 1), u = -v, x = 0, y < 0, z = z], [regular_chain, [[1/2, 1/2], [
-1/2, -1/2], [0, 0], [-1, -1], [0, 0]]]], [[7, 13, 8, 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, 8, 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, 8, 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, 1, 11, 2, 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, 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-u^2+2 < y,
z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/8], [3, 3],
[-3, -3]]]], [[8, 9, 7, 9, 2], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0),
x-u^2+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1
/8], [3, 3], [-7414553/4194304, -926819/524288]]]], [[8, 9, 7, 9, 3], [v = 1,
And(0 < u,u < 1), And(-u^2 < x,x < 0), x-u^2+2 < y, And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/8], [3, 3], [0, 0
]]]], [[8, 9, 7, 9, 4], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0), x-u^2+2
< y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/8], [3,
3], [926819/524288, 1853639/1048576]]]], [[8, 9, 7, 9, 5], [v = 1, And(0 < u,u
< 1), And(-u^2 < x,x < 0), x-u^2+2 < y, (y-x)^(1/2) < z], [regular_chain, [[1,
1], [1/2, 1/2], [-1/8, -1/8], [3, 3], [3, 3]]]], [[8, 14, 1, 3, 1], [v = 1, u
= 3^(1/2), x < -3, And(x-1 < y,y < x), z = z], [regular_chain, [[1, 1], [
908093/524288, 1816187/1048576], [-4, -4], [-9/2, -9/2], [0, 0]]]], [[8, 15, 5
, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 6,
1, 5, 1], [And(1 < v,v < 2^(1/2)), u = -v, x < -1, And(x+1 < y,y < 0), z < -(y
-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/
1048576, -1265743/1048576], [-2, -2], [-1/2, -1/2], [-3, -3]]]], [[9, 6, 1, 5,
2], [And(1 < v,v < 2^(1/2)), u = -v, x < -1, And(x+1 < y,y < 0), z = -(y-x)^(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, 5, 3], [And(1 < v,v < 2^(1/2)), u = -v, x < -1, And(x+1 < y,y <
0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576,
1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [-1/2, -1/2]
, [0, 0]]]], [[9, 6, 1, 5, 4], [And(1 < v,v < 2^(1/2)), u = -v, x < -1, And(x+
1 < y,y < 0), z = (y-x)^(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, 5, 5], [And(1 < v,v < 2^(1/2)),
u = -v, x < -1, And(x+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2,
-2], [-1/2, -1/2], [3, 3]]]], [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [1/2, 1/2], [2171069/1048576, 1085535/524288], [-3
, -3]]]], [[9, 7, 9, 8, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(
1/2)), And(0 < x,x < 1), y = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1/2, 1/2], [2171069/1048576, 1085535/524288], [-1314069/
1048576, -328517/262144]]]], [[9, 7, 9, 8, 3], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = x-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], [1/2, 1/2], [2171069/1048576,
1085535/524288], [0, 0]]]], [[9, 7, 9, 8, 4], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = x-u^2+v^2+1, z = (-u^2+v^2+1)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304,
-3949363/4194304], [1/2, 1/2], [2171069/1048576, 1085535/524288], [328517/
262144, 1314069/1048576]]]], [[9, 7, 9, 8, 5], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2)
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304,
-3949363/4194304], [1/2, 1/2], [2171069/1048576, 1085535/524288], [3, 3]]]], [
[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 = -1, z < 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [-1, -1], [-1, -1], [-1, -1]]]], [[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 = -1, z =
0], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [-1
, -1], [0, 0]]]], [[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 = -1, 0 < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-1, -1], [-1, -1], [1, 1]]]], [[9, 10, 8,
5, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 1, And(1 < y,y < 3), z
< -(y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [1, 1], [2, 2], [-2, -2]]]], [[9, 10, 8, 5, 2], [And(
1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 1, And(1 < y,y < 3), z = -(y-1)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 
708939/1048576], [1, 1], [2, 2], [-1, -1]]]], [[9, 10, 8, 5, 3], [And(1 < v,v
< 2^(1/2)), u = (v^2-1)^(1/2), x = 1, And(1 < y,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], [2, 2], [0, 0]]]], [[9, 10, 8, 5, 4], [And(1
< v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 1, And(1 < y,y < 3), z = (y-1)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [1, 1], [2, 2], [1, 1]]]], [[9, 10, 8, 5, 5], [And(1 < v,v < 2^(1/2)
), u = (v^2-1)^(1/2), x = 1, And(1 < y,y < 3), (y-1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [1, 1], [2, 2], [2, 2]]]], [[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 = x-u^2+v^2+1, z = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [3, 3], [-10, -10], [-8673241/524288, -\
17346481/1048576], [0, 0]]]], [[10, 1, 3, 7, 1], [v = 2^(1/2), u < -2, And(-u^
2+1 < x,x < -1), And(0 < y,y < u^2+x-1), z < -(y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [-9/2, -9/2], [7/4, 7/4], [-4, -4]]
]], [[10, 1, 3, 7, 2], [v = 2^(1/2), u < -2, And(-u^2+1 < x,x < -1), And(0 < y
,y < u^2+x-1), z = -(y-x)^(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, 7,
3], [v = 2^(1/2), u < -2, And(-u^2+1 < x,x < -1), And(0 < y,y < u^2+x-1), And(
-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [-9/2, -9/2], [7/4, 7/4], [0, 0]]]], [[10, 1, 3, 7, 4], [v
= 2^(1/2), u < -2, And(-u^2+1 < x,x < -1), And(0 < y,y < u^2+x-1), z = (y-x)^(
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, 7, 5], [v = 2^(1/2), u < -2, And(-u
^2+1 < x,x < -1), And(0 < y,y < u^2+x-1), (y-x)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [-9/2, -9/2], [7/4, 7/4], [4, 4]]]]
, [[10, 5, 4, 5, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -1, And(-u^2+
2 < y,y < 0), z < -(y+1)^(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(-u^2+2 < y,y < 0), z = -(y+1)^(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(-u^2+2
< y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-u^2+2 < y,y < 0), z = (y+1)^(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(-u^2+2 < y,y < 0), (y+1)^(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 = x-u^2+3, z < -(-u^2+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-3, -3
], [-1527887/1048576, -763943/524288], [-3, -3]]]], [[10, 7, 1, 6, 2], [v = 2^
(1/2), And(-v < u,u < -1), x < u^2-3, y = x-u^2+3, z = -(-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-3, -3], [-1527887/1048576, -763943/524288], [-1302471/1048576, -\
651235/524288]]]], [[10, 7, 1, 6, 3], [v = 2^(1/2), And(-v < u,u < -1), x < u^
2-3, y = x-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], [-3
, -3], [-1527887/1048576, -763943/524288], [0, 0]]]], [[10, 7, 1, 6, 4], [v =
2^(1/2), And(-v < u,u < -1), x < u^2-3, y = x-u^2+3, z = (-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-3, -3], [-1527887/1048576, -763943/524288], [651235/524288, 
1302471/1048576]]]], [[10, 7, 1, 6, 5], [v = 2^(1/2), And(-v < u,u < -1), x <
u^2-3, y = x-u^2+3, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-3, -3], [-1527887/
1048576, -763943/524288], [3, 3]]]], [[10, 13, 1, 3, 1], [v = 2^(1/2), And(1 <
u,u < v), x < u^2-3, And(x < y,y < u^2+x-1), z < -(y-x)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-3,
-3], [-11624291/4194304, -11624291/4194304], [-2, -2]]]], [[10, 13, 1, 3, 2],
[v = 2^(1/2), And(1 < u,u < v), x < u^2-3, And(x < y,y < u^2+x-1), z = -(y-x)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [-3, -3], [-11624291/4194304, -11624291/4194304], [-31331/
65536, -501295/1048576]]]], [[10, 13, 1, 3, 3], [v = 2^(1/2), And(1 < u,u < v)
, x < u^2-3, And(x < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-3, -3], [-11624291/4194304, -11624291/4194304], [0, 0]]]], [[10, 
13, 1, 3, 4], [v = 2^(1/2), And(1 < u,u < v), x < u^2-3, And(x < y,y < u^2+x-1
), z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-3, -3], [-11624291/4194304, -11624291/
4194304], [501295/1048576, 31331/65536]]]], [[10, 13, 1, 3, 5], [v = 2^(1/2),
And(1 < u,u < v), x < u^2-3, And(x < y,y < u^2+x-1), (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-3, -3], [-11624291/4194304, -11624291/4194304], [2, 2]]]], [[10, 
14, 4, 5, 1], [v = 2^(1/2), u = v, x = 0, 1 < y, z < -y^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [0, 0],
[2, 2], [-3, -3]]]], [[10, 14, 4, 5, 2], [v = 2^(1/2), u = v, x = 0, 1 < y, 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, 5, 3], [v = 2^(1/2), u = v, x = 0, 1 < y, 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, 5, 4], [v = 2^(1/2),
u = v, x = 0, 1 < y, 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, 5, 5], [v = 2^(1/2), u = v, x = 0, 1 < y, y^
(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288,
1482911/1048576], [0, 0], [2, 2], [3, 3]]]], [[11, 2, 3, 3, 1], [2^(1/2) < v,
u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(x-1 < y,y < x), z = z], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-2, -2], [-5/2,
-5/2], [0, 0]]]], [[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 < -(u^2-v^2+1)^(
1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [129511/
524288, 129511/524288], [1437109/524288, 2874219/1048576], [-3, -3]]]], [[11,
3, 7, 8, 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], [
1437109/524288, 2874219/1048576], [-1655969/1048576, -3311937/2097152]]]], [[
11, 3, 7, 8, 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], [1437109/524288, 2874219/1048576], [-1/4194304,
-1/4194304]]]], [[11, 3, 7, 8, 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], [1437109/524288, 2874219/1048576], [51749/32768, 
1655969/1048576]]]], [[11, 3, 7, 8, 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], [1437109/524288, 2874219/1048576], [3, 3]]]], [[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(0 < y,y < u^2-v^2+x+1), z = z], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [2, 2], [391029/524288, 391029/524288], [0, 0]]]]
, [[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 < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [0, 0
], [-1, -1], [9, 9], [-5, -5]]]], [[11, 11, 4, 8, 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, 8, 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, 8, 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, 8, 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, 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 = 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], [
-266003/1048576, -133001/524288], [-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 = 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], [-266003/1048576, -133001/524288],
[-735979/1048576, -1471957/2097152]]]], [[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 = u^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], [-266003/1048576
, -133001/524288], [-1/4194304, -1/4194304]]]], [[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 = 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], [-266003/1048576, -133001/524288],
[367989/524288, 735979/1048576]]]], [[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 = 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], [-266003/1048576, -133001/524288], [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 < 0), z < -(u^2-v^2+y+1)^(1/2)], [regular_chain, [[3,
3], [403851/131072, 403851/131072], [-195745/131072, -1565959/1048576], [-\
33112529/67108864, -33112529/67108864], [-3, -3]]]], [[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
< 0), z = -(u^2-v^2+y+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [-195745/131072, -1565959/1048576], [-33112529/67108864, -\
33112529/67108864], [-1048577/1048576, -1]]]], [[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 < 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], [-\
33112529/67108864, -33112529/67108864], [0, 0]]]], [[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 <
0), z = (u^2-v^2+y+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-195745/131072, -1565959/1048576], [-33112529/67108864, -33112529/
67108864], [1, 1048577/1048576]]]], [[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 < 0), (u^2-v^2+y+
1)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-\
195745/131072, -1565959/1048576], [-33112529/67108864, -33112529/67108864], [3
, 3]]]], [[1, 1, 7, 2, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(0 < x,x < 1)
, y = x-u^2+v^2+1, z = z], [regular_chain, [[-3, -3], [-5, -5], [1/2, 1/2], [-\
29/2, -29/2], [0, 0]]]], [[1, 2, 9, 7, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2),
1 < x, And(x < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [2, 2], [7/2, 7/2], [-3, -3]]]], [[1, 2, 9,
7, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), 1 < x, And(x < y,y < x+3), z = -(y-x
)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [2,
2], [7/2, 7/2], [-1284239/1048576, -642119/524288]]]], [[1, 2, 9, 7, 3], [v <
-2^(1/2), u = -(v^2+2)^(1/2), 1 < x, And(x < y,y < x+3), And(-(y-x)^(1/2) < z,
z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [2, 2], [7/2, 7/2], [0, 0]]]], [[1, 2, 9, 7, 4], [v < -2^(1/2), u =
-(v^2+2)^(1/2), 1 < x, And(x < y,y < x+3), z = (y-x)^(1/2)], [regular_chain, [
[-3, -3], [-1738867/524288, -3477733/1048576], [2, 2], [7/2, 7/2], [642119/
524288, 1284239/1048576]]]], [[1, 2, 9, 7, 5], [v < -2^(1/2), u = -(v^2+2)^(1/
2), 1 < x, And(x < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [2, 2], [7/2, 7/2], [3, 3]]]], [[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 = z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [-1, -1], [-395403/262144, -3163223/2097152], [0, 0]]]], [[1, 10, 6,
5, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 0, And(0 < y,y < 3), z < -y^(1/2
)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [0, 0], [
3/2, 3/2], [-3, -3]]]], [[1, 10, 6, 5, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2),
x = 0, And(0 < y,y < 3), 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, 5, 3], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 0, And(0
< y,y < 3), 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,
5, 4], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 5], [v < -2^(1/2
), u = -(v^2-2)^(1/2), x = 0, And(0 < y,y < 3), y^(1/2) < z], [regular_chain,
[[-3, -3], [-5548543/2097152, -2774271/1048576], [0, 0], [3/2, 3/2], [3, 3]]]]
, [[1, 14, 6, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 8, 1
], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = x-u^2+v^2+1, z < -
(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [2, 2], [919433/262144, 3677733/1048576], [-3, -3]]]], [[1, 15, 11,
8, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = x-u^2+v^2+1, z
= -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [2, 2], [919433/262144, 3677733/1048576], [-1287385/1048576, -160923
/131072]]]], [[1, 15, 11, 8, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
1 < x, y = x-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], [2, 2], [919433
/262144, 3677733/1048576], [0, 0]]]], [[1, 15, 11, 8, 4], [v < -2^(1/2), And((
v^2-1)^(1/2) < u,u < -v), 1 < x, y = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [2, 2], [919433/
262144, 3677733/1048576], [160923/131072, 1287385/1048576]]]], [[1, 15, 11, 8,
5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = x-u^2+v^2+1, (-u^
2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [2, 2], [919433/262144, 3677733/1048576], [3, 3]]]], [[2, 1, 2, 3, 1
], [v = -2^(1/2), u < -2, x = -u^2+1, And(-2*u^2+4 < y,y < -u^2+1), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-8, -8], [-11,
-11], [0, 0]]]], [[2, 2, 4, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 2, 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, 1, 7, 1], [v = -2^(1/2), And(0 < u,u < 1), x < u^2
-3, And(x-u^2+3 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [-4, -4], [-5/8, -5/8], [-3, -3]]]], [[2
, 11, 1, 7, 2], [v = -2^(1/2), And(0 < u,u < 1), x < u^2-3, And(x-u^2+3 < y,y
< 0), z = -(y-x)^(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, 7, 3], [v = -2^(1/2), And(0 < u,u < 1), x < u^2-3, And(x-u^2+3 < y,
y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [-4, -4], [-5/8, -5/8], [0, 0]]]], [[2,
11, 1, 7, 4], [v = -2^(1/2), And(0 < u,u < 1), x < u^2-3, And(x-u^2+3 < y,y <
0), z = (y-x)^(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, 7, 5], [v = -2^(1/2), And(0 < u,u < 1), x < u^2-3, And(x-u^2+3 < y,y < 0),
(y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1
/2], [-4, -4], [-5/8, -5/8], [3, 3]]]], [[2, 17, 5, 2, 1], [v = -2^(1/2), And(
3^(1/2) < u,u < 2), And(-1 < x,x < 0), y = x-u^2+3, z = z], [regular_chain, [[
-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-1/2,
-1/2], [-32952163/33554432, -16476081/16777216], [0, 0]]]], [[2, 18, 7, 7, 1],
[v = -2^(1/2), u = 2, And(0 < x,x < 1), And(x < y,y < x+3), z < -(y-x)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [1/2, 1/2], [2, 2
], [-3, -3]]]], [[2, 18, 7, 7, 2], [v = -2^(1/2), u = 2, And(0 < x,x < 1), And
(x < y,y < x+3), z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [2, 2], [1/2, 1/2], [2, 2], [-1284239/1048576, -642119/524288]
]]], [[2, 18, 7, 7, 3], [v = -2^(1/2), u = 2, And(0 < x,x < 1), And(x < y,y <
x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [2, 2], [1/2, 1/2], [2, 2], [0, 0]]]], [[2, 18, 7, 7
, 4], [v = -2^(1/2), u = 2, And(0 < x,x < 1), And(x < y,y < x+3), z = (y-x)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [1/2, 1/2],
[2, 2], [642119/524288, 1284239/1048576]]]], [[2, 18, 7, 7, 5], [v = -2^(1/2),
u = 2, And(0 < x,x < 1), And(x < y,y < x+3), (y-x)^(1/2) < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [2, 2], [1/2, 1/2], [2, 2], [3, 3]]]], [[
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 = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [0, 0], [-\
501965/2097152, -501965/2097152], [0, 0]]]], [[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 = 0, z < -(-x)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304,
-5818805/4194304], [-3, -3], [0, 0], [-3, -3]]]], [[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 = 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, 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 = 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, 8,
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, 8, 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, 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(x < y,y < u^2-v^2+x+1),
z < -(y-x)^(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, 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(x < y,
y < u^2-v^2+x+1), z = -(y-x)^(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, 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(x < y,y < u^2-v^2+x+1), And(-(y-x)^
(1/2) < z,z < (y-x)^(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, 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(x < y,y < u^2-v^2+x+1), z = (y-x)^(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, 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(x < y,y < u^2-v^2+x+1), (y-x)^(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, 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], [-122559/131072, -\
7843775/8388608], [-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], [-122559/131072
, -7843775/8388608], [-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], [-122559/131072, -\
7843775/8388608], [-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], [-122559/131072, -7843775/8388608], [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], [-122559/131072, -7843775/8388608], [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 < -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1643659/1048576, 410915/262144], [-1, -1], [2, 2], [-3, -3]]]], [[3, 14, 4, 7
, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -1, 1 < y, z = -(y+1)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/
1048576, 410915/262144], [-1, -1], [2, 2], [-1816187/1048576, -3632373/2097152
]]]], [[3, 14, 4, 7, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -1,
1 < y, 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]
, [-1/4194304, -1/4194304]]]], [[3, 14, 4, 7, 4], [And(-2^(1/2) < v,v < -1), u
= (v^2+1)^(1/2), x = -1, 1 < y, z = (y+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-1, -1], [2, 2]
, [908093/524288, 1816187/1048576]]]], [[3, 14, 4, 7, 5], [And(-2^(1/2) < v,v
< -1), u = (v^2+1)^(1/2), x = -1, 1 < y, (y+1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-1, -1]
, [2, 2], [3, 3]]]], [[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 = 1, z < 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [1, 1], [1
, 1], [-1, -1]]]], [[3, 15, 10, 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, 10, 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]]]],
[[4, 4, 5, 2, 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, 2, 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, 2, 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,
5, 10, 8, 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], [
1288231/524288, 2576463/1048576], [-3, -3]]]], [[4, 5, 10, 8, 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], [1288231/524288, 2576463/1048576],
[-1265743/1048576, -1265743/1048576]]]], [[4, 5, 10, 8, 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], [1288231/524288, 2576463/
1048576], [0, 0]]]], [[4, 5, 10, 8, 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], [1288231/524288, 2576463/1048576], [1265743/1048576, 1265743
/1048576]]]], [[4, 5, 10, 8, 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], [1288231/524288, 2576463/1048576], [3, 3]]]], [[4, 10, 5, 3, 1], [v
= -1, u = 1, And(0 < x,x < 1), And(0 < y,y < x), z = z], [regular_chain, [[-1,
-1], [1, 1], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[4, 12, 1, 3, 1], [v = -1, u
= 2^(1/2), x < -2, And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[-1
, -1], [741455/524288, 1482911/1048576], [-3, -3], [-2, -2], [-2, -2]]]], [[4,
12, 1, 3, 2], [v = -1, u = 2^(1/2), x < -2, And(x < y,y < x+2), z = -(y-x)^(1/
2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3, -3], [-\
2, -2], [-1, -1]]]], [[4, 12, 1, 3, 3], [v = -1, u = 2^(1/2), x < -2, And(x <
y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1],
[741455/524288, 1482911/1048576], [-3, -3], [-2, -2], [0, 0]]]], [[4, 12, 1, 3
, 4], [v = -1, u = 2^(1/2), x < -2, And(x < y,y < x+2), z = (y-x)^(1/2)], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3, -3], [-2, -2]
, [1, 1]]]], [[4, 12, 1, 3, 5], [v = -1, u = 2^(1/2), x < -2, And(x < y,y < x+
2), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [-3, -3], [-2, -2], [2, 2]]]], [[5, 2, 7, 9, 1], [And(-1 < v,v < 0),
u = -(v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1/2, 1/2], [5, 5], [-4, -4]]]], [
[5, 2, 7, 9, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(0 < x,x < 1), x+3
< y, z = -(y-x)^(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, 9, 3], [And(-1 <
v,v < 0), u = -(v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y, And(-(y-x)^(1/2) < z,
z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1/2, 1/2], [5
, 5], [0, 0]]]], [[5, 2, 7, 9, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And
(0 < x,x < 1), x+3 < y, z = (y-x)^(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,
9, 5], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y, (y-x
)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1/2, 1/2], [5, 5],
[4, 4]]]], [[5, 4, 1, 5, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x < -2, 
And(x+2 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543
/131072, -1172343/1048576], [-3, -3], [-1/2, -1/2], [-3, -3]]]], [[5, 4, 1, 5,
2], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x < -2, And(x+2 < y,y < 0), z = -(
y-x)^(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, 5,
3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x < -2, And(x+2 < y,y < 0), And(-(
y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-146543/
131072, -1172343/1048576], [-3, -3], [-1/2, -1/2], [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 < 0), z = (y-x
)^(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, 5, 5],
[And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x < -2, And(x+2 < y,y < 0), (y-x)^(1/2
) < z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-3
, -3], [-1/2, -1/2], [3, 3]]]], [[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 = 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], [767309/262144, 3069237/1048576], [-3, -3]]]],
[[5, 11, 8, 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 = 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],
[767309/262144, 3069237/1048576], [-3291611/2097152, -1645805/1048576]]]], [[5
, 11, 8, 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 = 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], [767309/262144, 3069237/1048576], [0, 0]]]], [[5, 11,
8, 6, 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], [767309/
262144, 3069237/1048576], [1645805/1048576, 822903/524288]]]], [[5, 11, 8, 6,
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], [767309/262144
, 3069237/1048576], [3, 3]]]], [[5, 13, 2, 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 = z], [regular_chain, [[-1/2, -\
1/2], [3, 3], [-39/4, -39/4], [-35/2, -35/2], [0, 0]]]], [[6, 5, 9, 1, 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], [-1, -1], [0, 0]]]], [[6, 7, 5, 9, 1], [v = 0, 
And(0 < u,u < 1), And(-1 < x,x < u^2-1), u^2+x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [2, 2], [-3, -3]]]], [[6, 7,
5, 9, 2], [v = 0, And(0 < u,u < 1), And(-1 < x,x < u^2-1), u^2+x+1 < y, z = -(
y-x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [2, 2], [-\
3555895/2097152, -1777947/1048576]]]], [[6, 7, 5, 9, 3], [v = 0, And(0 < u,u <
1), And(-1 < x,x < u^2-1), u^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [2, 2], [0, 0]]]], [[6, 7
, 5, 9, 4], [v = 0, And(0 < u,u < 1), And(-1 < x,x < u^2-1), u^2+x+1 < y, z =
(y-x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [2, 2], [
1777947/1048576, 444487/262144]]]], [[6, 7, 5, 9, 5], [v = 0, And(0 < u,u < 1)
, And(-1 < x,x < u^2-1), u^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[0, 0
], [1/2, 1/2], [-7/8, -7/8], [2, 2], [3, 3]]]], [[6, 11, 6, 7, 1], [v = 0, 2^(
1/2) < u, x = 0, u^2+1 < y, z < -y^(1/2)], [regular_chain, [[0, 0], [3, 3], [0
, 0], [11, 11], [-5, -5]]]], [[6, 11, 6, 7, 2], [v = 0, 2^(1/2) < u, x = 0, u^
2+1 < y, z = -y^(1/2)], [regular_chain, [[0, 0], [3, 3], [0, 0], [11, 11], [-\
1738867/524288, -3477733/1048576]]]], [[6, 11, 6, 7, 3], [v = 0, 2^(1/2) < u,
x = 0, u^2+1 < y, And(-y^(1/2) < z,z < y^(1/2))], [regular_chain, [[0, 0], [3,
3], [0, 0], [11, 11], [0, 0]]]], [[6, 11, 6, 7, 4], [v = 0, 2^(1/2) < u, x = 0
, u^2+1 < y, z = y^(1/2)], [regular_chain, [[0, 0], [3, 3], [0, 0], [11, 11],
[3477733/1048576, 1738867/524288]]]], [[6, 11, 6, 7, 5], [v = 0, 2^(1/2) < u,
x = 0, u^2+1 < y, y^(1/2) < z], [regular_chain, [[0, 0], [3, 3], [0, 0], [11,
11], [5, 5]]]], [[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(x-u^2+v^2+1 < y,y < 0), z = z], [regular_chain, [[1/2,
1/2], [-3, -3], [35/8, 35/8], [-27/16, -27/16], [0, 0]]]], [[7, 7, 10, 7, 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, 7, 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, 7, 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, 7, 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, 7, 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, 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 = 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], [
290131/262144, 1160525/1048576], [-3, -3]]]], [[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 = 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], [290131/262144, 1160525/
1048576], [-19417/16384, -1242687/1048576]]]], [[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 = u^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], [
290131/262144, 1160525/1048576], [0, 0]]]], [[7, 9, 7, 8, 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], [290131/262144, 1160525/
1048576], [1242687/1048576, 19417/16384]]]], [[7, 9, 7, 8, 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], [290131/262144, 1160525/
1048576], [3, 3]]]], [[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 < 0), 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, 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^2-1 < y,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], [-1291597/1048576, -1291597/1048576], [-1163761/
1048576, -72735/65536]]]], [[7, 11, 2, 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^2-1 < 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],
[343151/262144, 343151/262144], [-2583195/1048576, -1291597/524288], [-1291597
/1048576, -1291597/1048576], [0, 0]]]], [[7, 11, 2, 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^2-1 < y,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], [-1291597/1048576, -\
1291597/1048576], [72735/65536, 1163761/1048576]]]], [[7, 11, 2, 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^2-1 < y,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], [-1291597/
1048576, -1291597/1048576], [3, 3]]]], [[7, 12, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 2, 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, 2, 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, 2, 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, 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 = -u^2+1, z < -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576
, 1265743/1048576], [-1, -1], [-479311/1048576, -239655/524288], [-2, -2]]]],
[[8, 11, 4, 4, 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], [-479311/1048576, -239655/524288], [-772605/1048576, -1545209/2097152]
]]], [[8, 11, 4, 4, 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], [-479311/1048576, -239655/524288]
, [-1/4194304, -1/4194304]]]], [[8, 11, 4, 4, 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], [-479311/1048576, -239655/524288], [
193151/262144, 772605/1048576]]]], [[8, 11, 4, 4, 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], [-479311/1048576, -239655/524288]
, [2, 2]]]], [[8, 12, 8, 1, 1], [v = 1, u = 2^(1/2), x = 1, y < 0, z = z], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [1, 1], [-1, -1], [0
, 0]]]], [[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 < -(u^2-v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [
-1, -1], [1550541/1048576, 775271/524288], [-3, -3]]]], [[9, 3, 4, 8, 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], [1550541/1048576,
775271/524288], [-3301741/2097152, -825435/524288]]]], [[9, 3, 4, 8, 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], [1550541/1048576, 775271/524288], [0, 0]]]], [[9, 3, 4, 8, 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], [1550541/1048576, 775271/
524288], [825435/524288, 1650871/1048576]]]], [[9, 3, 4, 8, 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], [1550541/1048576, 775271/
524288], [3, 3]]]], [[9, 4, 8, 5, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1
/2), x = 1, And(1 < y,y < 3), z < -(y-1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [1, 1], [2, 2],
[-2, -2]]]], [[9, 4, 8, 5, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x
= 1, And(1 < y,y < 3), z = -(y-1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-410915/262144, -3287319/2097152], [1, 1], [2, 2], [-1, -1]
]]], [[9, 4, 8, 5, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = 1, And
(1 < y,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],
[2, 2], [0, 0]]]], [[9, 4, 8, 5, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/
2), x = 1, And(1 < y,y < 3), z = (y-1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [1, 1], [2, 2],
[1, 1]]]], [[9, 4, 8, 5, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x =
1, And(1 < y,y < 3), (y-1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-410915/262144, -3287319/2097152], [1, 1], [2, 2], [2, 2]]]
], [[9, 12, 1, 5, 1], [And(1 < v,v < 2^(1/2)), u = v, x < -1, And(x+1 < y,y <
0), z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1265743/1048576, 1265743/1048576], [-2, -2], [-1/2, -1/2], [-3, -3]]]], [[9, 
12, 1, 5, 2], [And(1 < v,v < 2^(1/2)), u = v, x < -1, And(x+1 < y,y < 0), z =
-(y-x)^(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, 5, 3], [And(1 < v,v < 2^(1/2)), u = v, x < -1, And(x+1
< y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [-1/2
, -1/2], [0, 0]]]], [[9, 12, 1, 5, 4], [And(1 < v,v < 2^(1/2)), u = v, x < -1,
And(x+1 < y,y < 0), z = (y-x)^(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, 5, 5], [And(1 < v,v < 2^(1/2)
), u = v, x < -1, And(x+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2
], [-1/2, -1/2], [3, 3]]]], [[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 = 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, 4, 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, 4, 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, 5, 1], [v = 2^(1/2), u = -2, And(-1 <
x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y
-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(
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 = u^2+x-1, z < -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [388511/524288, 388511/524288], [3379641/1048576, 1689821/524288], [
-3, -3]]]], [[10, 3, 9, 8, 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], [3379641/1048576, 1689821/524288], [-825991/524288, -3303963
/2097152]]]], [[10, 3, 9, 8, 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], [3379641/1048576, 1689821/524288], [
-1/4194304, -1/4194304]]]], [[10, 3, 9, 8, 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], [3379641/1048576, 1689821/524288], [1651981/
1048576, 825991/524288]]]], [[10, 3, 9, 8, 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], [3379641/1048576, 1689821/524288], [3, 3]]]], [
[10, 8, 4, 1, 1], [v = 2^(1/2), u = -1, x = -1, y < -1, z = z], [regular_chain
, [[741455/524288, 1482911/1048576], [-1, -1], [-1, -1], [-2, -2], [0, 0]]]],
[[10, 9, 9, 5, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), And
(u^2+x-1 < y,y < x), 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 = x, z < 0], [regular_chain, [[741455
/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [2, 2], [2, 2],
[-1, -1]]]], [[10, 15, 11, 4, 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, 4, 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, 6, 3, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x
= 0, And(-u^2+3 < y,y < 0), z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [0, 0], [-505467/2097152, -\
505467/2097152], [0, 0]]]], [[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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-
x)^(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(x < y,y < u^2-v^2+x+1), z = (y-x)^(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(x < y,y < u^2-
v^2+x+1), (y-x)^(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 = 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], [-3192025/4194304, -399003/524288], [-2, -2]]]], [[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 = 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], [-\
3192025/4194304, -399003/524288], [-735979/1048576, -1471957/2097152]]]], [[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 = u^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], [-3192025/4194304, -399003/524288], [-1/4194304, -1/4194304
]]]], [[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 = 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]
, [-3192025/4194304, -399003/524288], [367989/524288, 735979/1048576]]]], [[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 = 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], [-\
3192025/4194304, -399003/524288], [2, 2]]]], [[11, 8, 6, 4, 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,
4, 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, 4, 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, 4, 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, 4, 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, 6, 5, 1], [2
^(1/2) < v, u = (v^2-2)^(1/2), x = 0, And(0 < y,y < 3), z < -y^(1/2)], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [0, 0], [3/2, 3/2], [-3
, -3]]]], [[11, 12, 6, 5, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 0, And(0 <
y,y < 3), 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, 5,
3], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 4], [2^(1/2) < v, u = (v^2-2)^(1/2),
x = 0, And(0 < y,y < 3), 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, 5, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 0, And(0 < y,y < 3),
y^(1/2) < z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [0, 0],
[3/2, 3/2], [3, 3]]]], [[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 = -u^2+v^2+2, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1, 1], [919691/
262144, 3678765/1048576], [-3, -3]]]], [[11, 13, 10, 8, 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], [
919691/262144, 3678765/1048576], [-3321417/2097152, -415177/262144]]]], [[11,
13, 10, 8, 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], [919691/
262144, 3678765/1048576], [0, 0]]]], [[11, 13, 10, 8, 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], [
919691/262144, 3678765/1048576], [415177/262144, 1660709/1048576]]]], [[11, 13
, 10, 8, 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], [919691/262144, 3678765/1048576], [3, 3]]]],
[[11, 20, 3, 5, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(x
< y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = x, z < 0], [regular_chain, [[3, 3], [5, 5], [1/2, 1/2],
[1/2, 1/2], [-1, -1]]]], [[11, 21, 7, 6, 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, 6, 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, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 8, 7, 1], [v < -2^(1/2), And(-(v
^2+1)^(1/2) < u,u < v), x = 0, u^2-v^2+1 < y, z < -y^(1/2)], [regular_chain, [
[-3, -3], [-403851/131072, -403851/131072], [0, 0], [3, 3], [-3, -3]]]], [[1,
5, 8, 7, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 0, u^2-v^2+1 <
y, z = -y^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072],
[0, 0], [3, 3], [-1816187/1048576, -3632373/2097152]]]], [[1, 5, 8, 7, 3], [v
< -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 0, u^2-v^2+1 < y, 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, 7, 4], [v < -2^(1/2)
, And(-(v^2+1)^(1/2) < u,u < v), x = 0, u^2-v^2+1 < y, z = y^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [0, 0], [3, 3], [
908093/524288, 1816187/1048576]]]], [[1, 5, 8, 7, 5], [v < -2^(1/2), And(-(v^2
+1)^(1/2) < u,u < v), x = 0, u^2-v^2+1 < y, y^(1/2) < z], [regular_chain, [[-3
, -3], [-403851/131072, -403851/131072], [0, 0], [3, 3], [3, 3]]]], [[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 = 0, z = z], [regular_chain, [[-3, -3], [0, 0], [8, 8], [0, 0], [0, 0
]]]], [[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), x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-919691/524288, -\
919691/524288], [2, 2], [-3, -3]]]], [[1, 13, 3, 9, 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), x-u^2+v^2+1 < y,
z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288]
, [-919691/524288, -919691/524288], [2, 2], [-8126751/4194304, -32507003/
16777216]]]], [[1, 13, 3, 9, 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), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288],
[-919691/524288, -919691/524288], [2, 2], [-11/33554432, -11/33554432]]]], [[1
, 13, 3, 9, 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), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-3,
-3], [1435023/524288, 1435023/524288], [-919691/524288, -919691/524288], [2, 2
], [2031687/1048576, 253961/131072]]]], [[1, 13, 3, 9, 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), x-u^2+v^2+1 <
y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [-919691/524288, -919691/524288], [2, 2], [3, 3]]]], [[1, 17, 8, 1, 1
], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = 0, y < 0, z = z], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [0, 0], [-1, -1], [0
, 0]]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[
-3, -3], [3396811/1048576, 3396811/1048576], [-915943/524288, -915943/524288],
[0, 0], [-3, -3]]]], [[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 = 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, 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 = 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, 6, 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, 6, 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, 5, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = u^2-3, And(u^2-3 < y,y
< 2*u^2-4), z < -(y-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [-3913339/2097152, -3913339/2097152], [505467/1048576, 126367/262144
], [1806777/1048576, 1806777/1048576], [-3, -3]]]], [[2, 3, 8, 5, 2], [v = -2^
(1/2), And(-2 < u,u < -3^(1/2)), x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), z = -(
y-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [505467/1048576, 126367/262144], [1806777/
1048576, 1806777/1048576], [-4563/4096, -1168127/1048576]]]], [[2, 3, 8, 5, 3]
, [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = u^2-3, And(u^2-3 < y,y < 2*u^2-\
4), And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+3)^(1/2))], [regular_chain, [[-1482911
/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [505467/
1048576, 126367/262144], [1806777/1048576, 1806777/1048576], [0, 0]]]], [[2, 3
, 8, 5, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = u^2-3, And(u^2-3 < y,
y < 2*u^2-4), z = (y-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3913339/2097152, -3913339/2097152], [505467/1048576, 126367/
262144], [1806777/1048576, 1806777/1048576], [1168127/1048576, 4563/4096]]]],
[[2, 3, 8, 5, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = u^2-3, And(u^2-\
3 < y,y < 2*u^2-4), (y-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [-3913339/2097152, -3913339/2097152], [505467/1048576, 126367
/262144], [1806777/1048576, 1806777/1048576], [3, 3]]]], [[2, 5, 4, 1, 1], [v
= -2^(1/2), And(-3^(1/2) < u,u < v), x = -1, y < -1, z = z], [regular_chain, [
[-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-1,
-1], [-2, -2], [0, 0]]]], [[2, 6, 6, 7, 1], [v = -2^(1/2), u = v, x = 1, 2 < y
, z < -(y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1482911/1048576, -741455/524288], [1, 1], [3, 3], [-3, -3]]]], [[2, 6, 6, 7, 2
], [v = -2^(1/2), u = v, x = 1, 2 < y, 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, 7, 3], [v = -2^(1/2)
, u = v, x = 1, 2 < y, 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, 7, 4], [v = -2^(1/2), u = v, x = 1, 2 < y, 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, 7, 5], [v = -2^(1/2), u = v, x = 1, 2 < y, (y-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [1, 1], [3, 3], [3, 3]]]], [[2, 8, 3, 2, 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, 2, 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, 2, 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, 3, 1, 1], [v = -2^(1/2), u = -v, And(-1 <
x,x < 0), y < x, z = z], [regular_chain, [[-1482911/1048576, -741455/524288],
[741455/524288, 1482911/1048576], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[2, 15,
10, 7, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 1, And(-u^2+4 < y,y < u
^2), z < -(y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [1, 1], [2, 2], [-2, -2]]]], [[2, 15, 10, 7
, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 1, And(-u^2+4 < y,y < u^2),
z = -(y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [1, 1], [2, 2], [-1, -1]]]], [[2, 15, 10, 7
, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), 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], [3299097/2097152, 3299097/2097152], [1, 1], [2, 2], [0, 0]]]],
[[2, 15, 10, 7, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 1, And(-u^2+4
< y,y < u^2), z = (y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [1, 1], [2, 2], [1, 1]]]], [[2, 
15, 10, 7, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 1, And(-u^2+4 < y,y
< u^2), (y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[3299097/2097152, 3299097/2097152], [1, 1], [2, 2], [2, 2]]]], [[2, 19, 11, 3,
1], [v = -2^(1/2), 2 < u, u^2-3 < x, And(0 < y,y < x-u^2+3), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7, 7], [1/2, 1/2]
, [0, 0]]]], [[3, 2, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 2, 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, 2, 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, 2, 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]]]], [[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 = -
u^2+v^2+2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [1, 1], [1812519/524288, 3625039/1048576], [-3, -3]]
]], [[3, 9, 10, 8, 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], [1812519/524288, 
3625039/1048576], [-410915/262144, -3287319/2097152]]]], [[3, 9, 10, 8, 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], [1812519
/524288, 3625039/1048576], [-1/4194304, -1/4194304]]]], [[3, 9, 10, 8, 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], [1812519/524288, 3625039/1048576], [1643659/
1048576, 410915/262144]]]], [[3, 9, 10, 8, 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]
, [1812519/524288, 3625039/1048576], [3, 3]]]], [[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(x-u^2+v^2+1
< y,y < x), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3,
3], [-10006449/2097152, -10006449/2097152], [-33734339/4194304, -33734339/
4194304], [0, 0]]]], [[4, 1, 5, 6, 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, 6, 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, 6, 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
, 6, 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, 6, 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, 1, 1], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 0
), y < x, z = z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8], [-2,
-2], [0, 0]]]], [[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 < y, z < -y^(1/2)], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [0, 0], [4, 4], [-3, -3]]]], [[4, 13, 6, 7,
2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 0, u^2 < y, z = -y^(1/2)], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [0, 0], [4, 4],
[-2, -2]]]], [[4, 13, 6, 7, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 0,
u^2 < y, 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, 7, 4], [v =
-1, And(2^(1/2) < u,u < 3^(1/2)), x = 0, u^2 < y, z = y^(1/2)], [regular_chain
, [[-1, -1], [3299097/2097152, 3299097/2097152], [0, 0], [4, 4], [2, 2]]]], [[
4, 13, 6, 7, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 0, u^2 < y, y^(1/2
) < z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [0, 0],
[4, 4], [3, 3]]]], [[4, 14, 9, 5, 1], [v = -1, u = 3^(1/2), 1 < x, And(x-1 < y
,y < 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 = x, z < 0], [regular_chain,
[[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1248837/4194304, -\
1248837/4194304], [-156105/524288, -312209/1048576], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [-1248837/4194304, -1248837/4194304], [-156105/524288, -312209/
1048576], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-1/2, -\
1/2], [-1696631/2097152, -1696631/2097152], [-1248837/4194304, -1248837/
4194304], [-156105/524288, -312209/1048576], [1, 1]]]], [[5, 7, 4, 3, 1], [And
(-1 < v,v < 0), And(v < u,u < -v), x = -1, And(-1 < y,y < u^2-v^2), z < -(y+1)
^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [-5/8, -5/8], [-2, -\
2]]]], [[5, 7, 4, 3, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x = -1, And(-1
< y,y < u^2-v^2), z = -(y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-\
1, -1], [-5/8, -5/8], [-1284239/2097152, -642119/1048576]]]], [[5, 7, 4, 3, 3]
, [And(-1 < v,v < 0), And(v < u,u < -v), x = -1, And(-1 < y,y < u^2-v^2), And(
-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [-1
, -1], [-5/8, -5/8], [0, 0]]]], [[5, 7, 4, 3, 4], [And(-1 < v,v < 0), And(v <
u,u < -v), x = -1, And(-1 < y,y < u^2-v^2), z = (y+1)^(1/2)], [regular_chain,
[[-1/2, -1/2], [0, 0], [-1, -1], [-5/8, -5/8], [642119/1048576, 80265/131072]]
]], [[5, 7, 4, 3, 5], [And(-1 < v,v < 0), And(v < u,u < -v), x = -1, And(-1 <
y,y < u^2-v^2), (y+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [-1,
-1], [-5/8, -5/8], [2, 2]]]], [[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+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, 6, 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, 6, 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, 6, 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, 6, 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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 4, 1, 1], [v = 0, u = -1, x
= -1, y < -1, z = z], [regular_chain, [[0, 0], [-1, -1], [-1, -1], [-2, -2], [
0, 0]]]], [[6, 8, 9, 5, 1], [v = 0, u = 1, 1 < x, And(x < y,y < x+2), z < -(y-
x)^(1/2)], [regular_chain, [[0, 0], [1, 1], [2, 2], [3, 3], [-2, -2]]]], [[6,
8, 9, 5, 2], [v = 0, u = 1, 1 < x, And(x < y,y < x+2), z = -(y-x)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [2, 2], [3, 3], [-1, -1]]]], [[6, 8, 9, 5, 3],
[v = 0, u = 1, 1 < x, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2)
)], [regular_chain, [[0, 0], [1, 1], [2, 2], [3, 3], [0, 0]]]], [[6, 8, 9, 5,
4], [v = 0, u = 1, 1 < x, And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain
, [[0, 0], [1, 1], [2, 2], [3, 3], [1, 1]]]], [[6, 8, 9, 5, 5], [v = 0, u = 1,
1 < x, And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[0, 0], [1, 1],
[2, 2], [3, 3], [2, 2]]]], [[6, 10, 3, 3, 1], [v = 0, u = 2^(1/2), And(-3 < x,
x < -1), And(x-1 < y,y < x), z = z], [regular_chain, [[0, 0], [741455/524288,
1482911/1048576], [-2, -2], [-5/2, -5/2], [0, 0]]]], [[7, 4, 9, 7, 1], [And(0
< v,v < 1), u = -(v^2+1)^(1/2), 1 < x, x+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [2, 2], [5, 5]
, [-3, -3]]]], [[7, 4, 9, 7, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), 1 < x,
x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -\
1172343/1048576], [2, 2], [5, 5], [-1816187/1048576, -3632373/2097152]]]], [[7
, 4, 9, 7, 3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), 1 < x, x+2 < y, And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-146543/131072,
-1172343/1048576], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[7, 4, 9, 7,
4], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), 1 < x, x+2 < y, z = (y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [2, 2], [5, 5]
, [908093/524288, 1816187/1048576]]]], [[7, 4, 9, 7, 5], [And(0 < v,v < 1), u
= -(v^2+1)^(1/2), 1 < x, x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2
], [-146543/131072, -1172343/1048576], [2, 2], [5, 5], [3, 3]]]], [[7, 6, 4, 2
, 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, 2, 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, 2, 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, 7, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = 1, And(
1 < y,y < u^2-v^2+2), z < -(y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3],
[1, 1], [47/8, 47/8], [-4, -4]]]], [[7, 13, 8, 7, 2], [And(0 < v,v < 1), (v^2+
2)^(1/2) < u, x = 1, And(1 < y,y < u^2-v^2+2), 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, 7, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u,
x = 1, And(1 < y,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], [47/8, 47/8], [0, 0]]]], [[7, 13,
8, 7, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = 1, And(1 < y,y < u^2-v^2+2
), 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, 7, 5], [And(0 < v,v < 1),
(v^2+2)^(1/2) < u, x = 1, And(1 < y,y < u^2-v^2+2), (y-1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [3, 3], [1, 1], [47/8, 47/8], [4, 4]]]], [[8, 1, 
10, 6, 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, 6
, 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, 6, 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, 6, 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, 6, 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, 8, 1, 7, 1], [v = 1, u = 0, x < -2, 0 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [0, 0], [-3, -3], [1, 1], [-3, -3]]]], [[8, 8, 1, 7, 2
], [v = 1, u = 0, x < -2, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [
0, 0], [-3, -3], [1, 1], [-2, -2]]]], [[8, 8, 1, 7, 3], [v = 1, u = 0, x < -2,
0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [0, 0]
, [-3, -3], [1, 1], [0, 0]]]], [[8, 8, 1, 7, 4], [v = 1, u = 0, x < -2, 0 < y,
z = (y-x)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-3, -3], [1, 1], [2, 2]]]]
, [[8, 8, 1, 7, 5], [v = 1, u = 0, x < -2, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [0, 0], [-3, -3], [1, 1], [3, 3]]]], [[8, 9, 7, 8, 1],
[v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0), y = x-u^2+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, 8, 2], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0), y = x-u^2
+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, 8, 3], [v = 1, And
(0 < u,u < 1), And(-u^2 < x,x < 0), y = x-u^2+2, And(-(-u^2+2)^(1/2) < z,z < (
-u^2+2)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/8], [13/8, 13/
8], [0, 0]]]], [[8, 9, 7, 8, 4], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0)
, y = x-u^2+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, 8, 5], [v
= 1, And(0 < u,u < 1), And(-u^2 < x,x < 0), y = x-u^2+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, 1, 4, 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, 4, 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, 4, 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,
5, 5, 1], [v = 1, 3^(1/2) < u, And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)
^(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(x < y,y <
0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x
)^(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 < -1, z =
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [-2, -2], [0, 0]]]], [[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(u^2-v^2+x+
1 < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/2, 1/2], [3/2, 3/2]
, [-2, -2]]]], [[9, 7, 9, 7, 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-u^2+v^2+1), z = -(y-x)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]], [[9, 7, 9, 7,
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-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[9, 7, 9, 7, 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-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/2, 1/2], [
3/2, 3/2], [1, 1]]]], [[9, 7, 9, 7, 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-u^2+v^2+1), (y-
x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[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(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)
^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0),
(y+1)^(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 = 0, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [354469/524288, 708939/1048576], [1, 1], [0, 0], [0, 0]]]],
[[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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2-v^2+x+1),
z = (y-x)^(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(x < y,y < u^2-v^2+x+1), (y-x)^(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 = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [-9/2, -9/2], [0, 0], [-4, -4]]]], [[10, 1, 3, 6,
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, 6, 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, 6, 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, 6, 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, 4, 6, 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,
6, 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, 6, 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, 6, 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,
6, 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, 3, 1], [v = 2^(1/2), And(-v
< u,u < -1), x < u^2-3, And(x < y,y < u^2+x-1), z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-3, -3], [-11624291/4194304, -11624291/4194304], [-2, -2]]]], [[10,
7, 1, 3, 2], [v = 2^(1/2), And(-v < u,u < -1), x < u^2-3, And(x < y,y < u^2+x-\
1), z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-3, -3], [-11624291/4194304, -11624291/
4194304], [-31331/65536, -501295/1048576]]]], [[10, 7, 1, 3, 3], [v = 2^(1/2),
And(-v < u,u < -1), x < u^2-3, And(x < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-3, -3], [-11624291/4194304, -11624291/4194304],
[0, 0]]]], [[10, 7, 1, 3, 4], [v = 2^(1/2), And(-v < u,u < -1), x < u^2-3, And
(x < y,y < u^2+x-1), z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-3, -3], [-11624291/
4194304, -11624291/4194304], [501295/1048576, 31331/65536]]]], [[10, 7, 1, 3,
5], [v = 2^(1/2), And(-v < u,u < -1), x < u^2-3, And(x < y,y < u^2+x-1), (y-x)
^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-3, -3], [-11624291/4194304, -11624291/4194304],
[2, 2]]]], [[10, 13, 1, 6, 1], [v = 2^(1/2), And(1 < u,u < v), x < u^2-3, y =
x-u^2+3, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-3, -3], [-1527887/1048576, -\
763943/524288], [-3, -3]]]], [[10, 13, 1, 6, 2], [v = 2^(1/2), And(1 < u,u < v
), x < u^2-3, y = x-u^2+3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-3, -3], [-\
1527887/1048576, -763943/524288], [-1302471/1048576, -651235/524288]]]], [[10,
13, 1, 6, 3], [v = 2^(1/2), And(1 < u,u < v), x < u^2-3, y = x-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], [-3, -3], [-1527887/1048576, -\
763943/524288], [0, 0]]]], [[10, 13, 1, 6, 4], [v = 2^(1/2), And(1 < u,u < v),
x < u^2-3, y = x-u^2+3, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [1265743/1048576, 1265743/1048576], [-3, -3], [-1527887/
1048576, -763943/524288], [651235/524288, 1302471/1048576]]]], [[10, 13, 1, 6,
5], [v = 2^(1/2), And(1 < u,u < v), x < u^2-3, y = x-u^2+3, (-u^2+3)^(1/2) < z
], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [-3, -3], [-1527887/1048576, -763943/524288], [3, 3]]]], [[
10, 14, 4, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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(x
< y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [129511/524288, 129511/524288], [391655/262144, 
391655/262144], [-3, -3]]]], [[11, 3, 7, 7, 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(x < y,y < u^2-v^2+x+
1), z = -(y-x)^(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, 7, 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(x < y,y < u^
2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [
-3396811/1048576, -3396811/1048576], [129511/524288, 129511/524288], [391655/
262144, 391655/262144], [0, 0]]]], [[11, 3, 7, 7, 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(x < y,y < u^2-
v^2+x+1), z = (y-x)^(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, 7, 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(x <
y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [129511/524288, 129511/524288], [391655/262144, 
391655/262144], [3, 3]]]], [[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 = u^2-v^2+x+1, z = z], [regular_chain, [[3
, 3], [-22960369/8388608, -22960369/8388608], [2, 2], [391029/262144, 1564117/
1048576], [0, 0]]]], [[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(-1 < y,y < 0), z < -(y+1)^(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
(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0)
, And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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(0 < y,y < x-u^
2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [-391287/524288, -391287/524288], [399003/1048576, 399003/
1048576], [-3, -3]]]], [[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(0 < y,y < x-u^2+v^2+1), z = -(y-x)^(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, 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(0 < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-391287/524288, -391287/524288], [399003/1048576, 399003/1048576],
[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(0 < y,y < x-u^2+v^2+1), z = (y-x)^(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, 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(0 < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-391287/524288, -\
391287/524288], [399003/1048576, 399003/1048576], [3, 3]]]], [[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], [-66225059/67108864, -33112529/
33554432], [-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], [-66225059/67108864, -33112529/33554432], [-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], [-66225059/67108864, -33112529/33554432], [-\
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], [-66225059/67108864, -33112529/33554432], [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],
[-66225059/67108864, -33112529/33554432], [2, 2]]]], [[1, 1, 7, 3, 1], [v < -2
^(1/2), u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(x-u^2+v^2+1 < y,y < 0), z =
z], [regular_chain, [[-3, -3], [-5, -5], [1/2, 1/2], [-29/4, -29/4], [0, 0]]]]
, [[1, 2, 9, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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 = z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1, -1], [-\
3, -3], [0, 0]]]], [[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, 2 < y, z < -y^(1/2)], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [0, 0], [3, 3], [-\
3, -3]]]], [[1, 14, 6, 5, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), x = 0, 2 < y,
z = -y^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [0
, 0], [3, 3], [-1816187/1048576, -3632373/2097152]]]], [[1, 14, 6, 5, 3], [v <
-2^(1/2), u = (v^2-1)^(1/2), x = 0, 2 < y, 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, 5, 4], [v < -2^(1/2), u = (v^2-1)^(1/2)
, x = 0, 2 < y, z = y^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 
2965821/1048576], [0, 0], [3, 3], [908093/524288, 1816187/1048576]]]], [[1, 14
, 6, 5, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), x = 0, 2 < y, y^(1/2) < z], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [0, 0], [3, 3], [3
, 3]]]], [[1, 15, 11, 9, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 <
x, x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [2, 2], [5, 5], [-3, -3]]]], [[1, 15, 11, 9, 2], [v
< -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, x-u^2+v^2+1 < y, z = -(y-x)^
(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [2, 2],
[5, 5], [-1816187/1048576, -3632373/2097152]]]], [[1, 15, 11, 9, 3], [v < -2^(
1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, x-u^2+v^2+1 < y, And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[1, 15, 11, 9, 4], [v
< -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, x-u^2+v^2+1 < y, z = (y-x)^(
1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [2, 2],
[5, 5], [908093/524288, 1816187/1048576]]]], [[1, 15, 11, 9, 5], [v < -2^(1/2)
, And((v^2-1)^(1/2) < u,u < -v), 1 < x, x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [2, 2], [5, 5],
[3, 3]]]], [[2, 1, 2, 2, 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, 2, 4, 7, 1], [v = -2^(1/2), u = -2, x = -1, And
(0 < y,y < 2), z < -(y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-2, -2], [-1, -1], [1, 1], [-3, -3]]]], [[2, 2, 4, 7, 2], [v = -2^(1
/2), u = -2, x = -1, And(0 < y,y < 2), z = -(y+1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-2, -2], [-1, -1], [1, 1], [-1482911/
1048576, -741455/524288]]]], [[2, 2, 4, 7, 3], [v = -2^(1/2), u = -2, x = -1,
And(0 < y,y < 2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-2, -2], [-1, -1], [1, 1], [0, 0]]]], [[2,
2, 4, 7, 4], [v = -2^(1/2), u = -2, x = -1, And(0 < y,y < 2), z = (y+1)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-1, -1], [1,
1], [741455/524288, 1482911/1048576]]]], [[2, 2, 4, 7, 5], [v = -2^(1/2), u =
-2, x = -1, And(0 < y,y < 2), (y+1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-2, -2], [-1, -1], [1, 1], [3, 3]]]], [[2, 9, 8, 3,
1], [v = -2^(1/2), And(-1 < u,u < 0), x = -u^2+1, And(0 < y,y < -u^2+1), 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, 8, 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, 8, 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, 8, 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,
8, 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, 8, 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, 17, 5, 1, 1], [v = -2^(1/2), And(
3^(1/2) < u,u < 2), And(-1 < x,x < 0), y < x-u^2+3, z = z], [regular_chain, [[
-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-1/2,
-1/2], [-2, -2], [0, 0]]]], [[2, 18, 7, 6, 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, 6, 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, 6, 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, 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, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [1, 1], [-3,
-3]]]], [[3, 5, 1, 9, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u
< v), x < -u^2+v^2-1, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [1
, 1], [-2, -2]]]], [[3, 5, 1, 9, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(
1/2) < u,u < v), x < -u^2+v^2-1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3, -3], [1, 1], [0, 0]]]], [[3, 5, 1, 9, 4], [And(-2^(1/2)
< v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, 0 < y, z = (y-x)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-3, -3], [1, 1], [2, 2]]]], [[3, 5, 1, 9, 5], [
And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, 0 < y
, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-3, -3], [1, 1], [3, 3]]]], [[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 = 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, 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 =
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, 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 = 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, 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(-u^2+v^2-1 < 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], [-2519283/
2097152, -2519283/2097152], [-2, -2]]]], [[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(-u^2+v^2-1 < 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], [-2519283/2097152, -2519283/2097152], [-541047/1048576, -\
1082093/2097152]]]], [[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(-u^2+v^2-1 < 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], [-2519283/2097152, -2519283/2097152], [-1/4194304,
-1/4194304]]]], [[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(-u^2+v^2-1 < 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], [-\
2519283/2097152, -2519283/2097152], [270523/524288, 541047/1048576]]]], [[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(-u^2+v^2-1 < 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], [-2519283/2097152, -\
2519283/2097152], [2, 2]]]], [[3, 14, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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(-u^2+v^2+2 < y,y < 1), 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 < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [-\
1/4, -1/4], [-2, -2]]]], [[4, 4, 5, 3, 2], [v = -1, u = -2^(1/2), And(-1 < x,x
< 0), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v = -1, u = -2^(1/2), And(-1 < x,x < 0), And(x < y,y < 0),
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-1482911/
1048576, -741455/524288], [-1/2, -1/2], [-1/4, -1/4], [0, 0]]]], [[4, 4, 5, 3,
4], [v = -1, u = -2^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = -1, u = -2^(1/2), And(-\
1 < x,x < 0), And(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [
-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/4, -1/4], [2, 2]]]], [[4,
5, 10, 9, 1], [v = -1, And(-2^(1/2) < u,u < -1), x = 1, u^2+1 < y, z < -(y-1)^
(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [1, 1
], [4, 4], [-3, -3]]]], [[4, 5, 10, 9, 2], [v = -1, And(-2^(1/2) < u,u < -1),
x = 1, u^2+1 < y, z = -(y-1)^(1/2)], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [1, 1], [4, 4], [-1816187/1048576, -3632373/
2097152]]]], [[4, 5, 10, 9, 3], [v = -1, And(-2^(1/2) < u,u < -1), x = 1, u^2+
1 < y, 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, 9, 4], [v = -1, And(-2^(1/2) < u,u < -1), x = 1, u^2+1 < y, z =
(y-1)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576],
[1, 1], [4, 4], [908093/524288, 1816187/1048576]]]], [[4, 5, 10, 9, 5], [v = -\
1, And(-2^(1/2) < u,u < -1), x = 1, u^2+1 < y, (y-1)^(1/2) < z], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [1, 1], [4, 4]
, [3, 3]]]], [[4, 10, 5, 2, 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, 2, 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, 2, 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, 2, 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, 8
, 1, 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], [-1, -1], [0, 0]]]], [[5,
4, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 < 2*u^2-2*v^2),
z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 
343151/262144], [243021/524288, 486043/1048576], [3555279/2097152, 3555279/
2097152], [-3, -3]]]], [[5, 11, 8, 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^2-1 < y,y < 2*u^2-2*v^2), z
= -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151
/262144], [243021/524288, 486043/1048576], [3555279/2097152, 3555279/2097152],
[-1163761/1048576, -72735/65536]]]], [[5, 11, 8, 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^2-1 < y,y <
2*u^2-2*v^2), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [243021/524288,
486043/1048576], [3555279/2097152, 3555279/2097152], [0, 0]]]], [[5, 11, 8, 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^2-1 < y,y < 2*u^2-2*v^2), z = (y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [243021/524288,
486043/1048576], [3555279/2097152, 3555279/2097152], [72735/65536, 1163761/
1048576]]]], [[5, 11, 8, 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^2-1 < y,y < 2*u^2-2*v^2), (y-u^2+v^2+
1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144],
[243021/524288, 486043/1048576], [3555279/2097152, 3555279/2097152], [3, 3]]]]
, [[5, 13, 2, 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 = z], [regular_chain, [[-1/2, -1/2], [3, 3], [-39/4, -39/4],
[-19, -19], [0, 0]]]], [[6, 5, 9, 2, 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, 1, 1], [v = 0, And(0 < u,u < 1), x = u^2-1, y < u^2-\
1, z = z], [regular_chain, [[0, 0], [1/2, 1/2], [-3/4, -3/4], [-2, -2], [0, 0]
]]], [[6, 11, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 = x-u^2+v^2+1, z = z], [regular_chain, [[1/2, 1/2], [-3, -\
3], [35/8, 35/8], [-27/8, -27/8], [0, 0]]]], [[7, 7, 10, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-1248837/4194304, -1248837/4194304], [3, 3], [-3,
-3]]]], [[7, 9, 7, 9, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And
(u^2-v^2-1 < x,x < 0), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 3], [
And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), u^2-
v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/
2], [1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/4194304],
[3, 3], [0, 0]]]], [[7, 9, 7, 9, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^
(1/2)), And(u^2-v^2-1 < x,x < 0), u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 <
x,x < 0), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/4194304], [3, 3
], [3, 3]]]], [[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 = 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, 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 = 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, 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 = 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, 6, 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, 6, 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, 7, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -1, And(
0 < y,y < 2), z < -(y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1,
-1], [1, 1], [-3, -3]]]], [[7, 12, 4, 7, 2], [And(0 < v,v < 1), u = (v^2+2)^(1
/2), x = -1, And(0 < y,y < 2), z = -(y+1)^(1/2)], [regular_chain, [[1/2, 1/2],
[3/2, 3/2], [-1, -1], [1, 1], [-1482911/1048576, -741455/524288]]]], [[7, 12,
4, 7, 3], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 2), And(
-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [
-1, -1], [1, 1], [0, 0]]]], [[7, 12, 4, 7, 4], [And(0 < v,v < 1), u = (v^2+2)^
(1/2), x = -1, And(0 < y,y < 2), z = (y+1)^(1/2)], [regular_chain, [[1/2, 1/2]
, [3/2, 3/2], [-1, -1], [1, 1], [741455/524288, 1482911/1048576]]]], [[7, 12,
4, 7, 5], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 2), (y+1
)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1, -1], [1, 1], [3, 3
]]]], [[8, 5, 3, 1, 1], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1)
, y < x, z = z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576]
, [-1288231/1048576, -1288231/1048576], [-3, -3], [0, 0]]]], [[8, 6, 6, 3, 1],
[v = 1, u = -1, x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[1, 1], [-1,
-1], [1, 1], [1/2, 1/2], [0, 0]]]], [[8, 11, 4, 5, 1], [v = 1, And(1 < u,u < 2
^(1/2)), x = -1, And(-u^2+1 < y,y < 0), z < -(y+1)^(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(-u^2+1 < y,y < 0), z = -(y+1)^(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(-u^2+1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(
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(-u^2+1 < y,y < 0), z = (y+1
)^(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(-u^2+1 < y,y < 0),
(y+1)^(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 = 0, z = z], [regular_chain, [[1, 1], [741455/
524288, 1482911/1048576], [1, 1], [0, 0], [0, 0]]]], [[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(0 <
y,y < u^2-v^2), z < -(y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [1550541/2097152,
1550541/2097152], [-3, -3]]]], [[9, 3, 4, 7, 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 < u^2-v^2), z = -(
y+1)^(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, 7, 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 < u^2-v^2),
And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [1550541/
2097152, 1550541/2097152], [0, 0]]]], [[9, 3, 4, 7, 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 < u^2-v^2),
z = (y+1)^(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, 7, 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 <
u^2-v^2), (y+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-14373233/8388608, -14373233/8388608], [-1, -1], [1550541/2097152, 1550541
/2097152], [3, 3]]]], [[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 = 0, z
< -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [-2, -2], [0, 0], [-3, -3]]]], [[9, 12, 1, 6, 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, 6, 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, 6, 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, 6, 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, 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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < x-u^2+v^2+1), z = (y-x)^(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(x < y,y < x-u^2+v^2+1), (y-x)^(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 = x, z < 0], [regular_chain, [[741455/524288, 1482911
/1048576], [-2, -2], [-1/2, -1/2], [-1/2, -1/2], [-1, -1]]]], [[10, 2, 5, 4, 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, 4, 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, 9, 7, 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-1), z < -(y-x)^(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, 7, 2], [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-1), z = -(y-x)^(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, 7, 3], [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-1), And(-(y-x)^(1/2) < z,z < (y-x)
^(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, 7, 4], [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-1), z = (y-x)^(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, 7, 5], [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-1), (y-x)^(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, 4, 2, 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, 2, 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, 2, 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, 9, 6, 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, 6, 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, 6, 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, 15, 11, 3, 1], [v = 2^(1/2), And
(v < u,u < 3^(1/2)), 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[741455
/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [2, 2], [1, 1],
[0, 0]]]], [[10, 17, 6, 2, 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], [-126367/262144, -505467/1048576], [0, 0]]]
], [[10, 18, 8, 3, 1], [v = 2^(1/2), u = 2, x = 1, And(0 < y,y < 1), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [1, 1], [1/2, 1/2],
[0, 0]]]], [[11, 1, 1, 4, 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, 4, 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, 4, 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, 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(u^2-v^2+x+1 < y,y < 0), z < -(y-x)^(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(u^2-v^2+x+1 < y,y < 0), z = -(y-x)^(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(u^2-v^2+x+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(u^2-v^2+x+1 < y,y < 0), z = (y-x)^(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(u^2-v^2+x+1 < y,y < 0), (y-x)^(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, 2 < y, z < -y^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [0, 0], [3, 3],
[-3, -3]]]], [[11, 8, 6, 5, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 0, 2 < y
, z = -y^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304
], [0, 0], [3, 3], [-1816187/1048576, -3632373/2097152]]]], [[11, 8, 6, 5, 3],
[2^(1/2) < v, u = -(v^2-1)^(1/2), x = 0, 2 < y, 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, 5, 4], [2^(1/2) < v, u = -(v^2-1)
^(1/2), x = 0, 2 < y, z = y^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576
, -11863283/4194304], [0, 0], [3, 3], [908093/524288, 1816187/1048576]]]], [[
11, 8, 6, 5, 5], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 0, 2 < y, y^(1/2) < z],
[regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [0, 0], [3, 3]
, [3, 3]]]], [[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(1 < y,y < -u^2+v^2+2), z < -(y-1)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1, 1], [1181835/
524288, 1181835/524288], [-3, -3]]]], [[11, 13, 10, 7, 2], [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 = -(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, 7, 3], [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), 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, 7, 4], [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 = (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, 7, 5], [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), (y-1)^(1/2) < z], [regular_chain, [[3, 3], [1435023
/524288, 1435023/524288], [1, 1], [1181835/524288, 1181835/524288], [3, 3]]]],
[[11, 20, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(x < y,y <
u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [5, 5], [1/2, 1/2],
[9, 9], [-4, -4]]]], [[11, 21, 7, 7, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(
0 < x,x < 1), And(x < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [
[3, 3], [5, 5], [1/2, 1/2], [9, 9], [-24456785/8388608, -1528549/524288]]]], [
[11, 21, 7, 7, 3], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(x <
y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
3, 3], [5, 5], [1/2, 1/2], [9, 9], [0, 0]]]], [[11, 21, 7, 7, 4], [2^(1/2) < v
, (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(x < y,y < u^2-v^2+x+1), z = (y-x)^(
1/2)], [regular_chain, [[3, 3], [5, 5], [1/2, 1/2], [9, 9], [1528549/524288, 
3057099/1048576]]]], [[11, 21, 7, 7, 5], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(
0 < x,x < 1), And(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[
3, 3], [5, 5], [1/2, 1/2], [9, 9], [4, 4]]]], [[1, 4, 2, 5, 1], [v < -2^(1/2),
u = -(v^2+1)^(1/2), x = -2, 0 < y, z < -(y+2)^(1/2)], [regular_chain, [[-3, -3
], [-3315889/1048576, -207243/65536], [-2, -2], [1, 1], [-3, -3]]]], [[1, 4, 2
, 5, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = -2, 0 < y, z = -(y+2)^(1/2)],
[regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-2, -2], [1, 1]
, [-1816187/1048576, -3632373/2097152]]]], [[1, 4, 2, 5, 3], [v < -2^(1/2), u
= -(v^2+1)^(1/2), x = -2, 0 < y, And(-(y+2)^(1/2) < z,z < (y+2)^(1/2))], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-2, -2], [1, 1],
[-1/4194304, -1/4194304]]]], [[1, 4, 2, 5, 4], [v < -2^(1/2), u = -(v^2+1)^(1/
2), x = -2, 0 < y, z = (y+2)^(1/2)], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [-2, -2], [1, 1], [908093/524288, 1816187/1048576]]]]
, [[1, 4, 2, 5, 5], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = -2, 0 < y, (y+2)^(1
/2) < z], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-2, -\
2], [1, 1], [3, 3]]]], [[1, 5, 9, 1, 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], [-1, -1], [0, 0]]]], [[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 <
0, z = z], [regular_chain, [[-3, -3], [0, 0], [8, 8], [-1, -1], [0, 0]]]], [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-919691/524288, -\
919691/524288], [395403/524288, 790807/1048576], [-3, -3]]]], [[1, 13, 3, 8, 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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3],
[1435023/524288, 1435023/524288], [-919691/524288, -919691/524288], [395403/
524288, 790807/1048576], [-3321417/2097152, -415177/262144]]]], [[1, 13, 3, 8,
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-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], [-919691/
524288, -919691/524288], [395403/524288, 790807/1048576], [0, 0]]]], [[1, 13,
3, 8, 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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3
, -3], [1435023/524288, 1435023/524288], [-919691/524288, -919691/524288], [
395403/524288, 790807/1048576], [415177/262144, 1660709/1048576]]]], [[1, 13,
3, 8, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3
, -3], [1435023/524288, 1435023/524288], [-919691/524288, -919691/524288], [
395403/524288, 790807/1048576], [3, 3]]]], [[1, 17, 8, 2, 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, 2,
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, 2, 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, 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(0 < y,y < u^2-v^2+x+1), z
< -(y-x)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576]
, [-915943/524288, -915943/524288], [391655/1048576, 391655/1048576], [-3, -3]
]]], [[1, 19, 3, 7, 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 < u^2-v^2+x+1), z = -(y-x)^(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, 7, 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 < u^2-v^2+x+1), And(-(y-x)
^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [-915943/524288, -915943/524288], [391655/1048576, 391655/
1048576], [0, 0]]]], [[1, 19, 3, 7, 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 < u^2-v^2+x+1), z =
(y-x)^(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, 7, 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 < u^2-v^2+x+
1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [-915943/524288, -915943/524288], [391655/1048576, 391655/1048576],
[3, 3]]]], [[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], [505467/
1048576, 126367/262144], [-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], [505467/1048576, 126367/262144], [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], [505467/1048576, 126367/
262144], [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), u^2+x-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
1297479/1048576, -1297479/1048576], [2, 2], [-3, -3]]]], [[2, 5, 3, 9, 2], [v
= -2^(1/2), And(-3^(1/2) < u,u < v), And(-u^2+1 < x,x < -1), u^2+x-1 < y, z =
-(y-x)^(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, 9, 3], [v = -2^(1/2), And(-3
^(1/2) < u,u < v), And(-u^2+1 < x,x < -1), u^2+x-1 < y, And(-(y-x)^(1/2) < z,z
< (y-x)^(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, 9, 4], [v = -2^(1/2), And(-3^(1/2)
< u,u < v), And(-u^2+1 < x,x < -1), u^2+x-1 < y, z = (y-x)^(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, 9, 5], [v = -2^(1/2), And(-3^(1/2) < u,u
< v), And(-u^2+1 < x,x < -1), u^2+x-1 < y, (y-x)^(1/2) < z], [regular_chain, [
[-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
1297479/1048576, -1297479/1048576], [2, 2], [3, 3]]]], [[2, 6, 7, 1, 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], [-1, -1], [0, 0]]]
], [[2, 8, 3, 3, 1], [v = -2^(1/2), u = -1, And(-2 < x,x < -1), And(x < y,y <
0), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1, -1], [-3/2, -3/2], [-3/4, -3/4], [-2, -2]]]], [[2, 8, 3, 3, 2], [v = -2^(1/
2), u = -1, And(-2 < x,x < -1), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v = -2
^(1/2), u = -1, And(-2 < x,x < -1), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z <
(y-x)^(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, 3, 4], [v
= -2^(1/2), u = -1, And(-2 < x,x < -1), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = -2^(1/2
), u = -1, And(-2 < x,x < -1), And(x < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-3/2, -3/2], [-\
3/4, -3/4], [2, 2]]]], [[2, 14, 2, 5, 1], [v = -2^(1/2), u = -v, x = -1, 0 < y
, z < -(y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
741455/524288, 1482911/1048576], [-1, -1], [1, 1], [-3, -3]]]], [[2, 14, 2, 5,
2], [v = -2^(1/2), u = -v, x = -1, 0 < y, z = -(y+1)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [-1, -1]
, [1, 1], [-1482911/1048576, -741455/524288]]]], [[2, 14, 2, 5, 3], [v = -2^(1
/2), u = -v, x = -1, 0 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [-1, -1], [1, 1], [0, 0]]]], [[2, 14, 2, 5, 4], [v = -2^(1/2), u = -
v, x = -1, 0 < y, z = (y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [741455/524288, 1482911/1048576], [-1, -1], [1, 1], [741455/
524288, 1482911/1048576]]]], [[2, 14, 2, 5, 5], [v = -2^(1/2), u = -v, x = -1,
0 < y, (y+1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[741455/524288, 1482911/1048576], [-1, -1], [1, 1], [3, 3]]]], [[2, 15, 10, 6,
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], [799673/524288, 1599347/1048576], [-2, -2]]]], [[2,
15, 10, 6, 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], [799673/524288, 1599347/1048576], [
-1519901/2097152, -379975/524288]]]], [[2, 15, 10, 6, 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], [799673/524288, 1599347/1048576], [0, 0]]]], [[2, 15
, 10, 6, 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], [799673/524288, 1599347/1048576], [379975/
524288, 759951/1048576]]]], [[2, 15, 10, 6, 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], [799673/
524288, 1599347/1048576], [2, 2]]]], [[2, 19, 11, 4, 1], [v = -2^(1/2), 2 < u,
u^2-3 < x, y = x-u^2+3, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [7, 7], [1, 1], [0, 0]]]], [[3, 2, 2, 7, 1], [And(-2^(1/2) <
v,v < -1), u = -(v^2+2)^(1/2), x = -3, 0 < y, z < -(y+3)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-3, -3], [1, 1], [-3, -3]]]], [[3, 2, 2, 7, 2], [And(-2^(1/
2) < v,v < -1), u = -(v^2+2)^(1/2), x = -3, 0 < y, z = -(y+3)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-3, -3], [1, 1], [-2, -2]]]], [[3, 2, 2, 7, 3], [And(-2^(1/
2) < v,v < -1), u = -(v^2+2)^(1/2), x = -3, 0 < y, And(-(y+3)^(1/2) < z,z < (y
+3)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-3, -3], [1, 1], [0, 0]]]], [[3, 2, 2, 7, 4], [
And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -3, 0 < y, z = (y+3)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-3, -3], [1, 1], [2, 2]]]], [[3, 2, 2, 7, 5], [And(-2^(1/2)
< v,v < -1), u = -(v^2+2)^(1/2), x = -3, 0 < y, (y+3)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-3, -3], [1, 1], [3, 3]]]], [[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, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[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(1 < y
,y < -u^2+v^2+2), z < -(y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [1, 1], [2336807/1048576, 2336807/1048576], [-3, -3]
]]], [[3, 9, 10, 7, 2], [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 = -(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,
7, 3], [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), 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, 7, 4], [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 = (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, 7, 5], [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), (y-1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1, 1], [2336807
/1048576, 2336807/1048576], [3, 3]]]], [[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 = x-u^2+v^2+1, z = z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10006449/
2097152, -10006449/2097152], [-5931973/524288, -11863945/1048576], [0, 0]]]],
[[4, 1, 5, 5, 1], [v = -1, u < -3^(1/2), And(-1 < x,x < 0), And(x < y,y < 0),
z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0),
z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = x, z < 0], [regular_chain, [[-1, -1], [-1/2, -1/2
], [-1/8, -1/8], [-1/8, -1/8], [-1, -1]]]], [[4, 7, 7, 2, 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, 2, 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, 5, 1], [v
= -1, And(0 < u,u < 1), x = u^2-2, And(2*u^2-2 < y,y < 0), z < -(y-u^2+2)^(1/2
)], [regular_chain, [[-1, -1], [1/2, 1/2], [-7/4, -7/4], [-3/4, -3/4], [-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 < 0), z = -(y-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-7/4, -\
7/4], [-3/4, -3/4], [-1, -1]]]], [[4, 9, 2, 5, 3], [v = -1, And(0 < u,u < 1),
x = u^2-2, And(2*u^2-2 < y,y < 0), And(-(y-u^2+2)^(1/2) < z,z < (y-u^2+2)^(1/2
))], [regular_chain, [[-1, -1], [1/2, 1/2], [-7/4, -7/4], [-3/4, -3/4], [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
< 0), z = (y-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-7/4, -7/4
], [-3/4, -3/4], [1, 1]]]], [[4, 9, 2, 5, 5], [v = -1, And(0 < u,u < 1), x = u
^2-2, And(2*u^2-2 < y,y < 0), (y-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1],
[1/2, 1/2], [-7/4, -7/4], [-3/4, -3/4], [2, 2]]]], [[4, 13, 6, 6, 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], [2594957/1048576, 1297479/
524288], [-3, -3]]]], [[4, 13, 6, 6, 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], [2594957/1048576, 1297479/524288], [-3299097/2097152
, -3299097/2097152]]]], [[4, 13, 6, 6, 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], [2594957/1048576, 1297479/524288], [-1/
4194304, -1/4194304]]]], [[4, 13, 6, 6, 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], [2594957/1048576, 1297479/524288], [412387/262144, 
1649549/1048576]]]], [[4, 13, 6, 6, 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], [2594957/1048576, 1297479/524288], [3, 3]]]], [[4, 14, 9, 4,
1], [v = -1, u = 3^(1/2), 1 < x, y = x-1, z = z], [regular_chain, [[-1, -1], [
908093/524288, 1816187/1048576], [2, 2], [1, 1], [0, 0]]]], [[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(x < y,y < 0), z < -(y-x)^(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, 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(x < y,y < 0), z =
-(y-x)^(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, 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(x < y,y < 0
), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(x < y,y < 0),
z = (y-x)^(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, 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(x < y,y < 0),
(y-x)^(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, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 3, 1], [And(-1 < v,v < 0), u = -v, 1 < x, And(0 < y,y <
x), z = z], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2], [1, 1], [0, 0]]
]], [[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+2), z < -(y-x)^(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, 5, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(0
< y,y < x+2), z = -(y-x)^(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, 5, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-2
< x,x < -1), And(0 < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 5, 4], [And(-1 < v,v < 0), u = (v^2+1)^(1/2
), And(-2 < x,x < -1), And(0 < y,y < x+2), z = (y-x)^(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, 5, 5], [And(-1 < v,v < 0), u = (v
^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2), (y-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3/2, -3/2],
[1/4, 1/4], [3, 3]]]], [[6, 2, 9, 9, 1], [v = 0, u = -2^(1/2), 1 < x, x+3 < y,
z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288]
, [2, 2], [6, 6], [-3, -3]]]], [[6, 2, 9, 9, 2], [v = 0, u = -2^(1/2), 1 < x,
x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -\
741455/524288], [2, 2], [6, 6], [-2, -2]]]], [[6, 2, 9, 9, 3], [v = 0, u = -2^
(1/2), 1 < x, x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[0, 0], [-1482911/1048576, -741455/524288], [2, 2], [6, 6], [0, 0]]]], [[6, 2
, 9, 9, 4], [v = 0, u = -2^(1/2), 1 < x, x+3 < y, z = (y-x)^(1/2)], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [2, 2], [6, 6], [2
, 2]]]], [[6, 2, 9, 9, 5], [v = 0, u = -2^(1/2), 1 < x, x+3 < y, (y-x)^(1/2) <
z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [2, 2], [6, 6
], [3, 3]]]], [[6, 4, 4, 2, 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,
2, 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, 2, 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, 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-1, z = z], [regular_chain, [[0, 0], [741455/524288,
1482911/1048576], [-2, -2], [-3, -3], [0, 0]]]], [[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 < x, z = z], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [-\
4, -4], [0, 0]]]], [[7, 6, 4, 3, 1], [And(0 < v,v < 1), u = -v, x = 0, And(0 <
y,y < 1), 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
(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 <
y,y < 1), 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 < -(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, 8, 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, 8, 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, 8, 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, 8, 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, 1, 10, 7, 1], [v =
1, u < -3^(1/2), x = u^2-2, 2*u^2-2 < y, z < -(y-u^2+2)^(1/2)], [regular_chain
, [[1, 1], [-3, -3], [7, 7], [17, 17], [-5, -5]]]], [[8, 1, 10, 7, 2], [v = 1,
u < -3^(1/2), x = u^2-2, 2*u^2-2 < y, z = -(y-u^2+2)^(1/2)], [regular_chain, [
[1, 1], [-3, -3], [7, 7], [17, 17], [-3315889/1048576, -207243/65536]]]], [[8,
1, 10, 7, 3], [v = 1, u < -3^(1/2), x = u^2-2, 2*u^2-2 < y, And(-(y-u^2+2)^(1/
2) < z,z < (y-u^2+2)^(1/2))], [regular_chain, [[1, 1], [-3, -3], [7, 7], [17,
17], [0, 0]]]], [[8, 1, 10, 7, 4], [v = 1, u < -3^(1/2), x = u^2-2, 2*u^2-2 <
y, z = (y-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [7, 7], [17, 17],
[207243/65536, 3315889/1048576]]]], [[8, 1, 10, 7, 5], [v = 1, u < -3^(1/2), x
= u^2-2, 2*u^2-2 < y, (y-u^2+2)^(1/2) < z], [regular_chain, [[1, 1], [-3, -3],
[7, 7], [17, 17], [5, 5]]]], [[8, 8, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0), And(u^2+x < y,y < x-u
^2+2), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/8], [
7/8, 7/8], [-2, -2]]]], [[8, 9, 7, 7, 2], [v = 1, And(0 < u,u < 1), And(-u^2 <
x,x < 0), And(u^2+x < y,y < x-u^2+2), z = -(y-x)^(1/2)], [regular_chain, [[1,
1], [1/2, 1/2], [-1/8, -1/8], [7/8, 7/8], [-1, -1]]]], [[8, 9, 7, 7, 3], [v =
1, And(0 < u,u < 1), And(-u^2 < x,x < 0), And(u^2+x < y,y < x-u^2+2), And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1
/8], [7/8, 7/8], [0, 0]]]], [[8, 9, 7, 7, 4], [v = 1, And(0 < u,u < 1), And(-u
^2 < x,x < 0), And(u^2+x < y,y < x-u^2+2), z = (y-x)^(1/2)], [regular_chain, [
[1, 1], [1/2, 1/2], [-1/8, -1/8], [7/8, 7/8], [1, 1]]]], [[8, 9, 7, 7, 5], [v
= 1, And(0 < u,u < 1), And(-u^2 < x,x < 0), And(u^2+x < y,y < x-u^2+2), (y-x)^
(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/8], [7/8, 7/8], [2,
2]]]], [[8, 14, 1, 5, 1], [v = 1, u = 3^(1/2), x < -3, And(x < y,y < x+3), z <
-(y-x)^(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 < y,y < x+3), z = -(y-x)^(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 < y,y < x+3)
, And(-(y-x)^(1/2) < z,z < (y-x)^(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 < y,y < x+3), z = (y-x)^(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 < y,y < x+3), (y-x)^(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 = 0, z < -(-x)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[8, 15, 5,
6, 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, 6, 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, 6, 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, 6, 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, 6, 1, 7, 1], [And(1 < v,v < 2^(1
/2)), u = -v, x < -1, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [1,
1], [-3, -3]]]], [[9, 6, 1, 7, 2], [And(1 < v,v < 2^(1/2)), u = -v, x < -1, 0
< y, z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-1265743/1048576, -1265743/1048576], [-2, -2], [1, 1], [-1816187/1048576, -\
3632373/2097152]]]], [[9, 6, 1, 7, 3], [And(1 < v,v < 2^(1/2)), u = -v, x < -1
, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [1,
1], [-1/4194304, -1/4194304]]]], [[9, 6, 1, 7, 4], [And(1 < v,v < 2^(1/2)), u
= -v, x < -1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [1, 1], [
908093/524288, 1816187/1048576]]]], [[9, 6, 1, 7, 5], [And(1 < v,v < 2^(1/2)),
u = -v, x < -1, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [1, 1], [3,
3]]]], [[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 = 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], [487329/524288, 974659/1048576], [-2, -2]]]], [[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 =
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], [487329/
524288, 974659/1048576], [-1374407/2097152, -687203/1048576]]]], [[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 = u^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], [487329/524288, 974659/1048576], [0, 0]]]], [[9,
7, 9, 6, 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], [
487329/524288, 974659/1048576], [687203/1048576, 171801/262144]]]], [[9, 7, 9,
6, 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], [487329/
524288, 974659/1048576], [2, 2]]]], [[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 = 0, z < -1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [0, 0],
[-2, -2]]]], [[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 = 0, z = -1], [regular_chain, [[1265743/1048576
, 1265743/1048576], [0, 0], [-1, -1], [0, 0], [-1, -1]]]], [[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 =
0, And(-1 < z,z < 1)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0
, 0], [-1, -1], [0, 0], [0, 0]]]], [[9, 9, 4, 6, 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, 6, 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, 3, 1], [And
(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 1, And(0 < y,y < 1), z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [1, 1], [1/2, 1/2], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [-10, -10], [-10, -10], [-1, -1]]]]
, [[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 = x, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3],
[-10, -10], [-10, -10], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [-10, -10], [-10, -10], [1, 1]]]], [[10, 1,
3, 5, 1], [v = 2^(1/2), u < -2, And(-u^2+1 < x,x < -1), And(x < y,y < 0), z <
-(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y
,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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(0 < y,y < u^2-2), z < -(y+1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1, -1], [
248903/1048576, 248903/1048576], [-3, -3]]]], [[10, 5, 4, 7, 2], [v = 2^(1/2),
And(-3^(1/2) < u,u < -v), x = -1, And(0 < y,y < u^2-2), z = -(y+1)^(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, 7, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v)
, x = -1, And(0 < y,y < u^2-2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1, -1], [248903/1048576, 248903/1048576], [0, 0]]]], [[10, 5, 4, 7
, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -1, And(0 < y,y < u^2-2), z
= (y+1)^(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, 7, 5], [v = 2^(1/2), And(-3^(1
/2) < u,u < -v), x = -1, And(0 < y,y < u^2-2), (y+1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1, -1], [248903/1048576, 248903/1048576], [3, 3]]]], [[10, 7, 1, 4
, 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], [-5332835/2097152, -2666417/1048576], [-2, -2]]]],
[[10, 7, 1, 4, 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], [-5332835/2097152, -2666417/
1048576], [-1417877/2097152, -354469/524288]]]], [[10, 7, 1, 4, 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], [-5332835/2097152, -2666417/1048576], [0
, 0]]]], [[10, 7, 1, 4, 4], [v = 2^(1/2), And(-v < u,u < -1), x < u^2-3, y = u
^2+x-1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1265743/1048576, -1265743/1048576], [-3, -3], [-5332835/2097152, -2666417/
1048576], [354469/524288, 708939/1048576]]]], [[10, 7, 1, 4, 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], [-5332835/2097152, -2666417/1048576], [2, 2]]]], [[10, 13, 1, 5, 1], [v
= 2^(1/2), And(1 < u,u < v), x < u^2-3, And(u^2+x-1 < y,y < x-u^2+3), z < -(y-
x)^(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-1 < y,y < x-u^2+3), z = -(y-x)
^(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-1 < y,y < x-u^2+3), And(-(y-x)^(
1/2) < z,z < (y-x)^(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-1 < y,y < x-u^2+
3), z = (y-x)^(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-1 < y,y < x-u^2+3)
, (y-x)^(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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,
y < 1), 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(0 < y,y < 1), 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(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y <
0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y
-x)^(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(x < y,y < 0), (y-x)^(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 = x, z < 0], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [129511/524288, 129511/524288], [129511/524288, 129511/
524288], [-1, -1]]]], [[11, 3, 7, 6, 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, 6, 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, 9, 11
, 5, 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 = 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 = 0, z < -1], [regular_chain, [[3, 3], [0, 0], [-1, -1], [0, 0], [-2, -2]
]]], [[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 = 0, z = -1], [regular_chain, [[3, 3], [0, 0], [-1, -1], [0, 0],
[-1, -1]]]], [[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 = 0, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [0, 0]
, [-1, -1], [0, 0], [0, 0]]]], [[11, 11, 4, 6, 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, 6, 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, 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 = 0, z < -(-x)^(1/
2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-391287/
524288, -391287/524288], [0, 0], [-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 = 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, 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 = 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, 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 = 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, 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 =
0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152
], [-391287/524288, -391287/524288], [0, 0], [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(-u^2+v^2-1 < 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], [-166446435/
134217728, -166446435/134217728], [-2, -2]]]], [[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(-u^2+v^2-1 < 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], [-166446435/134217728, -\
166446435/134217728], [-1055459/2097152, -527729/1048576]]]], [[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(-u^2+v^2-1
< 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], [-166446435/134217728, -166446435/134217728], [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(-u^2+v^2-1 < 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],
[-166446435/134217728, -166446435/134217728], [527729/1048576, 263865/524288]]
]], [[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(-u^2+v^2-1 < 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], [-166446435/134217728, -166446435/134217728], [2, 2]]]], [[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+2), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -\
207243/65536], [-3/2, -3/2], [1/4, 1/4], [-3, -3]]]], [[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+2), z = -(y-x
)^(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, 5, 3], [v <
-2^(1/2), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2), And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-3315889/1048576,
-207243/65536], [-3/2, -3/2], [1/4, 1/4], [0, 0]]]], [[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+2), z = (y-x)^
(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, 5, 5], [v < -2^
(1/2), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2), (y-x)^(1/2)
< z], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-3/2, -3/
2], [1/4, 1/4], [3, 3]]]], [[1, 5, 9, 2, 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, 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 < 0, z = z], [regular_chain, [[-3, -3], [0, 0], [9, 9], [-1, -1], [0, 0]]]],
[[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 = z], [regular_chain, [[-3, -3], [1435023/524288, 1435023
/524288], [-1, -1], [-3163225/2097152, -395403/262144], [0, 0]]]], [[1, 17, 8,
7, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = 0, u^2-v^2+1 < y, z <
-y^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [0, 0],
[3, 3], [-3, -3]]]], [[1, 17, 8, 7, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^
(1/2)), x = 0, u^2-v^2+1 < y, z = -y^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [0, 0], [3, 3], [-1816187/1048576, -3632373/
2097152]]]], [[1, 17, 8, 7, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)),
x = 0, u^2-v^2+1 < y, 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, 7, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = 0, u^2-
v^2+1 < y, z = y^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [0, 0], [3, 3], [908093/524288, 1816187/1048576]]]], [[1, 17, 8, 7, 5
], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = 0, u^2-v^2+1 < y, y^(1/2)
< z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [0, 0], [3, 3
], [3, 3]]]], [[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 < -(u^2-v^2+1)^(1/2
)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-915943/
524288, -915943/524288], [391655/524288, 783311/1048576], [-3, -3]]]], [[1, 19
, 3, 8, 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]
, [391655/524288, 783311/1048576], [-1655969/1048576, -3311937/2097152]]]], [[
1, 19, 3, 8, 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], [391655/524288, 783311/1048576], [-1/4194304
, -1/4194304]]]], [[1, 19, 3, 8, 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], [391655/524288, 783311/1048576], [51749/32768, 
1655969/1048576]]]], [[1, 19, 3, 8, 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], [391655/524288, 783311/1048576], [3, 3]]]], [[
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-u^2+3, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [388511/524288, 388511/524288], [135777/
524288, 271555/1048576], [0, 0]]]], [[2, 5, 4, 3, 1], [v = -2^(1/2), And(-3^(1
/2) < u,u < v), x = -1, And(-1 < y,y < -u^2+2), z < -(y+1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1, -1], [-1546383/2097152, -1546383/2097152], [-2, -2]]]],
[[2, 5, 4, 3, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -1, And(-1 < y,y
< -u^2+2), z = -(y+1)^(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, 3, 3], [v
= -2^(1/2), And(-3^(1/2) < u,u < v), x = -1, And(-1 < y,y < -u^2+2), And(-(y+1
)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [-1, -1], [-1546383/2097152, -\
1546383/2097152], [0, 0]]]], [[2, 5, 4, 3, 4], [v = -2^(1/2), And(-3^(1/2) < u
,u < v), x = -1, And(-1 < y,y < -u^2+2), z = (y+1)^(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, 3, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -1, And(-1 < y,y
< -u^2+2), (y+1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [-1, -1], [-1546383/2097152, -\
1546383/2097152], [2, 2]]]], [[2, 6, 6, 5, 1], [v = -2^(1/2), u = v, x = 1, 
And(1 < y,y < 2), 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, 5, 2], [v = -2^(1/2), u = v, x = 1, And(1 < y,y < 2), 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, 5, 3], [v = -2^(1/2), u = v, x = 1, And(1 < y,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], [3/2, 3/2], [0, 0]
]]], [[2, 6, 6, 5, 4], [v = -2^(1/2), u = v, x = 1, And(1 < y,y < 2), 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, 5, 5], [v = -2^(1/2), u = v, x = 1, And(1 < y,y < 2), (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, 1, 1], [v = -2^(1/2
), u = -1, x = -2, y < -2, z = z], [regular_chain, [[-1482911/1048576, -741455
/524288], [-1, -1], [-2, -2], [-3, -3], [0, 0]]]], [[2, 14, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 1,
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], [-1, -1], [0, 0]]]], [[2, 19, 11, 1, 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], [-1, -1], [0, 0]]]], [[3, 2, 1, 9, 1], [And(-2^(1/2)
< v,v < -1), u = -(v^2+2)^(1/2), x < -3, 0 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-4, -4], [1, 1], [-4, -4]]]], [[3, 2, 1, 9, 2], [And(-2^(1/
2) < v,v < -1), u = -(v^2+2)^(1/2), x < -3, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-4, -4], [1, 1], [-146543/65536, -2344687/1048576]]]], [[3,
2, 1, 9, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x < -3, 0 < y, And
(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-4, -4], [1, 1], [0,
0]]]], [[3, 2, 1, 9, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x < -3
, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-4, -4], [1, 1], [2344687/
1048576, 146543/65536]]]], [[3, 2, 1, 9, 5], [And(-2^(1/2) < v,v < -1), u = -(
v^2+2)^(1/2), x < -3, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-4, -4], [1
, 1], [4, 4]]]], [[3, 8, 4, 7, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/
2), x = -1, 1 < y, z < -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [-1, -1], [2, 2], [-3, -\
3]]]], [[3, 8, 4, 7, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -1
, 1 < y, z = -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [-1, -1], [2, 2], [-1816187/
1048576, -3632373/2097152]]]], [[3, 8, 4, 7, 3], [And(-2^(1/2) < v,v < -1), u
= -(v^2-1)^(1/2), x = -1, 1 < y, 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], [-1/4194304, -1/4194304]]]], [[3, 8, 4, 7, 4
], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -1, 1 < y, z = (y+1)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152,
-354469/524288], [-1, -1], [2, 2], [908093/524288, 1816187/1048576]]]], [[3, 8
, 4, 7, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -1, 1 < y, (y+1
)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877
/2097152, -354469/524288], [-1, -1], [2, 2], [3, 3]]]], [[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
= 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1
, 1], [0, 0], [0, 0]]]], [[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 < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10006449/
2097152, -10006449/2097152], [5, 5], [-5, -5]]]], [[3, 17, 3, 9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
3, 3], [-10006449/2097152, -10006449/2097152], [5, 5], [-3277777/1048576, -\
204861/65536]]]], [[3, 17, 3, 9, 3], [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, And(-(y-x)^(1/2) < z,z < (y-
x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-\
10006449/2097152, -10006449/2097152], [5, 5], [0, 0]]]], [[3, 17, 3, 9, 4], [
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 = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [5, 5], [204861/
65536, 3277777/1048576]]]], [[3, 17, 3, 9, 5], [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, (y-x)^(1/2) < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10006449/
2097152, -10006449/2097152], [5, 5], [5, 5]]]], [[4, 1, 5, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 7, 7, 7, 1], [v
= -1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), And(u^2+x < y,y < x-u^2+2), z <
-(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8], [7/8, 7/
8], [-2, -2]]]], [[4, 7, 7, 7, 2], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x
< 0), And(u^2+x < y,y < x-u^2+2), z = -(y-x)^(1/2)], [regular_chain, [[-1, -1]
, [-1/2, -1/2], [-1/8, -1/8], [7/8, 7/8], [-1, -1]]]], [[4, 7, 7, 7, 3], [v =
-1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), And(u^2+x < y,y < x-u^2+2), And(-(
y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1
/8, -1/8], [7/8, 7/8], [0, 0]]]], [[4, 7, 7, 7, 4], [v = -1, And(-1 < u,u < 0)
, And(-u^2 < x,x < 0), And(u^2+x < y,y < x-u^2+2), z = (y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8], [7/8, 7/8], [1, 1]]]], [
[4, 7, 7, 7, 5], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), And(u^2+x <
y,y < x-u^2+2), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1
/8, -1/8], [7/8, 7/8], [2, 2]]]], [[4, 9, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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], [124451/
524288, 248903/1048576], [-1, -1]]]], [[4, 13, 7, 6, 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], [
124451/524288, 248903/1048576], [0, 0]]]], [[4, 13, 7, 6, 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],
[124451/524288, 248903/1048576], [1, 1]]]], [[4, 14, 9, 7, 1], [v = -1, u = 3^
(1/2), 1 < x, And(x < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1]
, [908093/524288, 1816187/1048576], [2, 2], [7/2, 7/2], [-3, -3]]]], [[4, 14,
9, 7, 2], [v = -1, u = 3^(1/2), 1 < x, And(x < y,y < x+3), z = -(y-x)^(1/2)],
[regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [2, 2], [7/2, 7/2
], [-1284239/1048576, -642119/524288]]]], [[4, 14, 9, 7, 3], [v = -1, u = 3^(1
/2), 1 < x, And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [2, 2], [7/2, 7/2]
, [0, 0]]]], [[4, 14, 9, 7, 4], [v = -1, u = 3^(1/2), 1 < x, And(x < y,y < x+3
), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [2, 2], [7/2, 7/2], [642119/524288, 1284239/1048576]]]], [[4, 14, 9,
7, 5], [v = -1, u = 3^(1/2), 1 < x, And(x < y,y < x+3), (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [2, 2], [7/2, 7/2]
, [3, 3]]]], [[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 = 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], [290131/262144, 1160525/1048576], [-3, -3]]]], [[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 = 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], [290131/262144, 1160525/1048576], [-19417/16384, -1242687/1048576]]]
], [[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 = u^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], [290131/262144, 1160525/1048576], [0,
0]]]], [[5, 5, 7, 8, 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], [290131/262144, 1160525/1048576], [1242687/1048576
, 19417/16384]]]], [[5, 5, 7, 8, 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], [290131/262144, 1160525/1048576], [3, 3]]]], [[5,
7, 4, 5, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x = -1, And(u^2-v^2 < y,y
< 0), z < -(y+1)^(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(u^2-v^2 < y,y < 0), z = -(y+1)^(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(u^2-v^2 <
y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(u^2-v^2 < y,y < 0), z = (y+1)^(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(u^2-v^2 < y,y < 0), (y+1)^(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 = 0, z = z], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2
, 2], [0, 0], [0, 0]]]], [[5, 10, 2, 5, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1
/2), x = -2, 0 < y, z < -(y+2)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343
/1048576, 146543/131072], [-2, -2], [1, 1], [-3, -3]]]], [[5, 10, 2, 5, 2], [
And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = -2, 0 < y, z = -(y+2)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-2, -2], [1,
1], [-1816187/1048576, -3632373/2097152]]]], [[5, 10, 2, 5, 3], [And(-1 < v,v
< 0), u = (v^2+1)^(1/2), x = -2, 0 < y, And(-(y+2)^(1/2) < z,z < (y+2)^(1/2))]
, [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-2, -2], [
1, 1], [-1/4194304, -1/4194304]]]], [[5, 10, 2, 5, 4], [And(-1 < v,v < 0), u =
(v^2+1)^(1/2), x = -2, 0 < y, z = (y+2)^(1/2)], [regular_chain, [[-1/2, -1/2],
[1172343/1048576, 146543/131072], [-2, -2], [1, 1], [908093/524288, 1816187/
1048576]]]], [[5, 10, 2, 5, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = -2,
0 < y, (y+2)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 
146543/131072], [-2, -2], [1, 1], [3, 3]]]], [[6, 2, 9, 6, 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, 6, 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, 6, 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, 2, 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, 2, 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, 2, 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, 3, 1], [v = 0, u = 1, 1 < x, And(0 < y,y < x), z = z], [
regular_chain, [[0, 0], [1, 1], [2, 2], [1, 1], [0, 0]]]], [[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 < x+2), z < -(y-x)^(1
/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [2, 2],
[3, 3], [-2, -2]]]], [[7, 4, 9, 5, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2),
1 < x, And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
146543/131072, -1172343/1048576], [2, 2], [3, 3], [-1, -1]]]], [[7, 4, 9, 5, 3
], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), 1 < x, And(x < y,y < x+2), And(-(y-x
)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-146543/131072, -\
1172343/1048576], [2, 2], [3, 3], [0, 0]]]], [[7, 4, 9, 5, 4], [And(0 < v,v <
1), u = -(v^2+1)^(1/2), 1 < x, And(x < y,y < x+2), z = (y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [2, 2], [3, 3]
, [1, 1]]]], [[7, 4, 9, 5, 5], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), 1 < x, 
And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-146543/
131072, -1172343/1048576], [2, 2], [3, 3], [2, 2]]]], [[7, 6, 3, 3, 1], [And(0
< v,v < 1), u = -v, And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y
,y < 0), z = -(y-x)^(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, 3, 3], [And(0 < v,v < 1), u =
-v, And(-1 < x,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 0), And(x <
y,y < 0), z = (y-x)^(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, 3, 5], [And(0 < v,v < 1), u = -
v, And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(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 < -(y-1)^(1/2
)], [regular_chain, [[1/2, 1/2], [3, 3], [1, 1], [12, 12], [-5, -5]]]], [[7, 
13, 8, 9, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = 1, u^2-v^2+2 < y, z =
-(y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [1, 1], [12, 12], [-\
1738867/524288, -3477733/1048576]]]], [[7, 13, 8, 9, 3], [And(0 < v,v < 1), (v
^2+2)^(1/2) < u, x = 1, u^2-v^2+2 < y, 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,
9, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = 1, u^2-v^2+2 < y, z = (y-1)^(
1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [1, 1], [12, 12], [3477733/1048576
, 1738867/524288]]]], [[7, 13, 8, 9, 5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u,
x = 1, u^2-v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3, 3], [
1, 1], [12, 12], [5, 5]]]], [[8, 1, 11, 5, 1], [v = 1, u < -3^(1/2), u^2-2 < x
, And(x-u^2+2 < y,y < x), 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 = -2, z < 0],
[regular_chain, [[1, 1], [0, 0], [-2, -2], [-2, -2], [-1, -1]]]], [[8, 8, 2, 2
, 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, 2, 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, 5, 1], [v = 1, And(0 < u,u < 1), x = 0, And(u^2 < y,y < -u^2+2), z < -y^
(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [0, 0], [1, 1], [-2, -2]]]], [[8,
9, 8, 5, 2], [v = 1, And(0 < u,u < 1), x = 0, And(u^2 < y,y < -u^2+2), z = -y^
(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [0, 0], [1, 1], [-1, -1]]]], [[8,
9, 8, 5, 3], [v = 1, And(0 < 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], [1/2, 1/2], [0, 0], [1, 1],
[0, 0]]]], [[8, 9, 8, 5, 4], [v = 1, And(0 < u,u < 1), x = 0, And(u^2 < y,y <
-u^2+2), z = y^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [0, 0], [1, 1], [1
, 1]]]], [[8, 9, 8, 5, 5], [v = 1, And(0 < u,u < 1), x = 0, And(u^2 < y,y < -u
^2+2), y^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2], [0, 0], [1, 1], [2,
2]]]], [[8, 14, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 2, 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, 6, 2, 3, 1], [And(1 < v,v < 2^(1/2)), u = -v, x = -1
, And(-1 < y,y < 0), z < -(y+1)^(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(
-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y
+1)^(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 = 1, z <
0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1, 1], [1, 1], [-1, -1]]]], [[9, 7, 10, 4, 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, 4, 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, 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 = x-u^2+v^2+1,
z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[0, 0], [-1812519/1048576, -1812519/1048576], [763943/1048576, 95493/131072],
[-3, -3]]]], [[9, 9, 3, 8, 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-u^2+v^2+1, z = -(-u^2+v^
2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-\
1812519/1048576, -1812519/1048576], [763943/1048576, 95493/131072], [-410915/
262144, -3287319/2097152]]]], [[9, 9, 3, 8, 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-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], [-1812519/1048576, -1812519/1048576
], [763943/1048576, 95493/131072], [-1/4194304, -1/4194304]]]], [[9, 9, 3, 8,
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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [0, 0], [-1812519/1048576, -1812519/
1048576], [763943/1048576, 95493/131072], [1643659/1048576, 410915/262144]]]],
[[9, 9, 3, 8, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1812519/1048576,
-1812519/1048576], [763943/1048576, 95493/131072], [3, 3]]]], [[9, 10, 7, 7, 1
], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(0 < x,x < 1), x+2 < y, z <
-(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [1/2, 1/2], [4, 4], [-3, -3]]]], [[9, 10, 7, 7, 2], [
And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(0 < x,x < 1), x+2 < y, z = -(y-
x)^(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, 7, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(0 < x,x < 1
), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/2], [4, 4]
, [0, 0]]]], [[9, 10, 7, 7, 4], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), 
And(0 < x,x < 1), x+2 < y, z = (y-x)^(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, 7, 5], [And(1 < v,v < 2^(1/2))
, u = (v^2-1)^(1/2), And(0 < x,x < 1), x+2 < y, (y-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [1/2, 1/2], [4, 4], [3, 3]]]], [[9, 16, 9, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 3, 4, 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, 4, 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, 4, 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, 3, 9, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-u^2+1 < x
,x < -1), u^2+x-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1297479/1048576, -\
1297479/1048576], [2, 2], [-3, -3]]]], [[10, 5, 3, 9, 2], [v = 2^(1/2), And(-3
^(1/2) < u,u < -v), And(-u^2+1 < x,x < -1), u^2+x-1 < y, z = -(y-x)^(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, 9, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v)
, And(-u^2+1 < x,x < -1), u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-u
^2+1 < x,x < -1), u^2+x-1 < y, z = (y-x)^(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, 9, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-u^2+1 < x,x < -1), u
^2+x-1 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576
], [-6598195/4194304, -6598195/4194304], [-1297479/1048576, -1297479/1048576],
[2, 2], [3, 3]]]], [[10, 7, 1, 1, 1], [v = 2^(1/2), And(-v < u,u < -1), x < u^
2-3, y < x, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-3, -3], [-4, -4], [0, 0]]]], [[10, 12, 9
, 7, 1], [v = 2^(1/2), u = 1, 1 < x, x+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [2, 2], [5, 5], [-3,
-3]]]], [[10, 12, 9, 7, 2], [v = 2^(1/2), u = 1, 1 < x, x+2 < y, z = -(y-x)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [2, 2], [5, 5
], [-1816187/1048576, -3632373/2097152]]]], [[10, 12, 9, 7, 3], [v = 2^(1/2),
u = 1, 1 < x, x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[741455/524288, 1482911/1048576], [1, 1], [2, 2], [5, 5], [-1/4194304, -1/
4194304]]]], [[10, 12, 9, 7, 4], [v = 2^(1/2), u = 1, 1 < x, x+2 < y, z = (y-x
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [2, 2], [
5, 5], [908093/524288, 1816187/1048576]]]], [[10, 12, 9, 7, 5], [v = 2^(1/2),
u = 1, 1 < x, x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [2, 2], [5, 5], [3, 3]]]], [[10, 14, 4, 2, 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, 2, 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, 2, 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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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], [129511/262144, 518045/1048576], [-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], [129511/262144, 518045/
1048576], [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], [
129511/262144, 518045/1048576], [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 = x, z < 0], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [2, 2], [2, 2]
, [-1, -1]]]], [[11, 9, 11, 6, 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, 6, 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, 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 = z], [regular_chain, [[3,
3], [0, 0], [-1/2, -1/2], [-17/2, -17/2], [0, 0]]]], [[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-u^2+v^2+1
< y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-391287/524288, -391287/524288], [2, 2], [-3, -3]]]], [[11, 15, 5,
9, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1),
x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152,
6111549/2097152], [-391287/524288, -391287/524288], [2, 2], [-1737703/1048576,
-3475405/2097152]]]], [[11, 15, 5, 9, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,
u < v), And(-1 < x,x < -u^2+v^2-1), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-\
391287/524288, -391287/524288], [2, 2], [-1/4194304, -1/4194304]]]], [[11, 15,
5, 9, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-\
1), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-391287/524288, -391287/524288], [2, 2], [868851/
524288, 1737703/1048576]]]], [[11, 15, 5, 9, 5], [2^(1/2) < v, And((v^2-1)^(1/
2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), x-u^2+v^2+1 < y, (y-x)^(1/2) < z],
[regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-391287/524288,
-391287/524288], [2, 2], [3, 3]]]], [[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(x < y,y < x-u^2+v^2+1),
z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-\
2614535/2097152, -2614535/2097152], [-1041671/1048576, -1041671/1048576], [-2,
-2]]]], [[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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(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, 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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 403851/131072]
, [-2614535/2097152, -2614535/2097152], [-1041671/1048576, -1041671/1048576],
[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(x < y,y < x-u^2+v^2+1), z = (y-x)^(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, 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(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z],
[regular_chain, [[3, 3], [403851/131072, 403851/131072], [-2614535/2097152, -\
2614535/2097152], [-1041671/1048576, -1041671/1048576], [2, 2]]]], [[1, 1, 6,
7, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = 0, u^2-v^2+1 < y, z < -y^(1/2)],
[regular_chain, [[-3, -3], [-5, -5], [0, 0], [18, 18], [-6, -6]]]], [[1, 1, 6,
7, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = 0, u^2-v^2+1 < y, z = -y^(1/2)],
[regular_chain, [[-3, -3], [-5, -5], [0, 0], [18, 18], [-1112183/262144, -\
4448731/1048576]]]], [[1, 1, 6, 7, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), x =
0, u^2-v^2+1 < y, And(-y^(1/2) < z,z < y^(1/2))], [regular_chain, [[-3, -3], [
-5, -5], [0, 0], [18, 18], [0, 0]]]], [[1, 1, 6, 7, 4], [v < -2^(1/2), u < -(v
^2+2)^(1/2), x = 0, u^2-v^2+1 < y, z = y^(1/2)], [regular_chain, [[-3, -3], [-\
5, -5], [0, 0], [18, 18], [4448731/1048576, 1112183/262144]]]], [[1, 1, 6, 7,
5], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = 0, u^2-v^2+1 < y, y^(1/2) < z], [
regular_chain, [[-3, -3], [-5, -5], [0, 0], [18, 18], [6, 6]]]], [[1, 2, 9, 1,
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], [-1, -1], [0, 0]]]], [[
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), x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[
-3, -3], [-22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/
4194304], [2, 2], [-3, -3]]]], [[1, 9, 3, 9, 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), x-u^2+v^2+1 < y, z =
-(y-x)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [-7357527/4194304, -7357527/4194304], [2, 2], [-32507003/16777216, -\
16253501/8388608]]]], [[1, 9, 3, 9, 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), x-u^2+v^2+1 < y, And(-(y-x)^(1
/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [-7357527/4194304, -7357527/4194304], [2, 2], [-5/16777216,
-5/16777216]]]], [[1, 9, 3, 9, 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), x-u^2+v^2+1 < y, z = (y-x)^(1/2)],
[regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-7357527/
4194304, -7357527/4194304], [2, 2], [2031687/1048576, 253961/131072]]]], [[1,
9, 3, 9, 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), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-3,
-3], [-22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/
4194304], [2, 2], [3, 3]]]], [[1, 10, 5, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 6, 2, 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, 2, 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, 2, 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, 2, 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, 1, 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], [-15,
-15], [0, 0]]]], [[2, 2, 4, 2, 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, 9, 1, 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], [-1, -1], [0, 0]]]], [[2, 11, 1, 9, 1], [v
= -2^(1/2), And(0 < u,u < 1), x < u^2-3, 0 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-4, -4], [1,
1], [-4, -4]]]], [[2, 11, 1, 9, 2], [v = -2^(1/2), And(0 < u,u < 1), x < u^2-3
, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [1/2, 1/2], [-4, -4], [1, 1], [-146543/65536, -2344687/1048576]]]], [[2, 11
, 1, 9, 3], [v = -2^(1/2), And(0 < u,u < 1), x < u^2-3, 0 < y, And(-(y-x)^(1/2
) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288],
[1/2, 1/2], [-4, -4], [1, 1], [0, 0]]]], [[2, 11, 1, 9, 4], [v = -2^(1/2), And
(0 < u,u < 1), x < u^2-3, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [-4, -4], [1, 1], [2344687/1048576, 
146543/65536]]]], [[2, 11, 1, 9, 5], [v = -2^(1/2), And(0 < u,u < 1), x < u^2-\
3, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288
], [1/2, 1/2], [-4, -4], [1, 1], [4, 4]]]], [[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-1, z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-1/2, -1/2], [2078331/1048576, 519583/262144], [-3, -3]]]], [[2, 17
, 5, 8, 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], [2078331/1048576, 519583/
262144], [-825991/524288, -3303963/2097152]]]], [[2, 17, 5, 8, 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], [2078331/1048576, 519583/
262144], [-1/4194304, -1/4194304]]]], [[2, 17, 5, 8, 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], [2078331/1048576, 519583/262144], [1651981/1048576, 
825991/524288]]]], [[2, 17, 5, 8, 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], [
2078331/1048576, 519583/262144], [3, 3]]]], [[2, 18, 7, 9, 1], [v = -2^(1/2),
u = 2, And(0 < x,x < 1), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [1/2, 1/2], [5, 5], [-4, -4]]]], [[2
, 18, 7, 9, 2], [v = -2^(1/2), u = 2, And(0 < x,x < 1), x+3 < y, z = -(y-x)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [1/2, 1/2],
[5, 5], [-1112183/524288, -2224365/1048576]]]], [[2, 18, 7, 9, 3], [v = -2^(1/
2), u = 2, And(0 < x,x < 1), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [1/2, 1/2], [5, 5
], [0, 0]]]], [[2, 18, 7, 9, 4], [v = -2^(1/2), u = 2, And(0 < x,x < 1), x+3 <
y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2,
2], [1/2, 1/2], [5, 5], [2224365/1048576, 1112183/524288]]]], [[2, 18, 7, 9, 5
], [v = -2^(1/2), u = 2, And(0 < x,x < 1), x+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [1/2, 1/2], [5, 5]
, [4, 4]]]], [[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 = x-u^2+v^2+1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [501965/2097152, 501965/2097152], [-31373/131072, -250983/
1048576], [0, 0]]]], [[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 < -u^2+v^2-1, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
1538813/1048576, -384703/262144], [-3, -3], [0, 0]]]], [[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-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/
524288], [2, 2], [-3, -3]]]], [[3, 11, 5, 9, 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), x-u^2+v^2+1 < y, z
= -(y-x)^(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, 9, 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), x-u^2+v^2+1
< y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288,
-374737/524288], [2, 2], [0, 0]]]], [[3, 11, 5, 9, 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), x-u^2+v^2+1 < y
, z = (y-x)^(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, 9, 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), x-u^2+v^2+1 < y
, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-374737/524288, -374737/524288], [2, 2], [3,
3]]]], [[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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 4, 5, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -1, And(0 < y,
y < 1), z < -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1643659/1048576, 410915/262144], [-1, -1], [1/2, 1/2], [-3, -3]]]],
[[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 = -(y+1)^(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, 5, 3], [And(-2^(1/2) < v,v < -1), u =
(v^2+1)^(1/2), x = -1, And(0 < 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], [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 = (y+1)^(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, 5, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -1, And(0 <
y,y < 1), (y+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1643659/1048576, 410915/262144], [-1, -1], [1/2, 1/2], [3, 3]]]], [
[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), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [775271/1048576, 775271/1048576], [5, 5], [-4, -4]]]], [[3, 15, 9, 9,
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), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/
524288, 898327/524288], [775271/1048576, 775271/1048576], [5, 5], [0, 0]]]], [
[3, 15, 9, 9, 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), u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, (y-x)^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 
898327/524288], [775271/1048576, 775271/1048576], [5, 5], [4, 4]]]], [[4, 4, 4
, 7, 1], [v = -1, u = -2^(1/2), x = -1, 1 < y, z < -(y+1)^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-1, -1], [2, 2]
, [-3, -3]]]], [[4, 4, 4, 7, 2], [v = -1, u = -2^(1/2), x = -1, 1 < y, z = -(y
+1)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-1
, -1], [2, 2], [-1816187/1048576, -3632373/2097152]]]], [[4, 4, 4, 7, 3], [v =
-1, u = -2^(1/2), x = -1, 1 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-1, -1], [2, 2]
, [-1/4194304, -1/4194304]]]], [[4, 4, 4, 7, 4], [v = -1, u = -2^(1/2), x = -1
, 1 < y, z = (y+1)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -\
741455/524288], [-1, -1], [2, 2], [908093/524288, 1816187/1048576]]]], [[4, 4,
4, 7, 5], [v = -1, u = -2^(1/2), x = -1, 1 < y, (y+1)^(1/2) < z], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-1, -1], [2, 2]
, [3, 3]]]], [[4, 5, 10, 2, 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, 1, 1], [v = -1, u = 1, And(0 < x,x < 1),
y < 0, z = z], [regular_chain, [[-1, -1], [1, 1], [1/2, 1/2], [-1, -1], [0, 0]
]]], [[4, 11, 11, 6, 1], [v = -1, And(1 < u,u < 2^(1/2)), 1 < x, y = x-u^2+2,
z < -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [2, 2], [2666417/1048576, 1333209/524288], [-2, -2]]]], [[4, 11, 11,
6, 2], [v = -1, And(1 < u,u < 2^(1/2)), 1 < x, y = x-u^2+2, z = -(-u^2+2)^(1/2
)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [2, 2], [
2666417/1048576, 1333209/524288], [-772605/1048576, -1545209/2097152]]]], [[4,
11, 11, 6, 3], [v = -1, And(1 < u,u < 2^(1/2)), 1 < x, y = x-u^2+2, And(-(-u^2
+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [2, 2], [2666417/1048576, 1333209/524288], [-1/
4194304, -1/4194304]]]], [[4, 11, 11, 6, 4], [v = -1, And(1 < u,u < 2^(1/2)),
1 < x, y = x-u^2+2, z = (-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [2, 2], [2666417/1048576, 1333209/524288], [193151/
262144, 772605/1048576]]]], [[4, 11, 11, 6, 5], [v = -1, And(1 < u,u < 2^(1/2)
), 1 < x, y = x-u^2+2, (-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [2, 2], [2666417/1048576, 1333209/524288],
[2, 2]]]], [[5, 2, 7, 7, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(0 < x
,x < 1), And(x < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2],
[-3/2, -3/2], [1/2, 1/2], [2, 2], [-3, -3]]]], [[5, 2, 7, 7, 2], [And(-1 < v,v
< 0), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), z = -(y-x)^(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, 7, 3], [And(-1 < v,v < 0), u =
-(v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1/2, 1/2], [2, 2]
, [0, 0]]]], [[5, 2, 7, 7, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(0 <
x,x < 1), And(x < y,y < x+3), z = (y-x)^(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, 7, 5], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,
y < x+3), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1/2,
1/2], [2, 2], [3, 3]]]], [[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 = 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], [
2340173/524288, 4680347/1048576], [-3, -3]]]], [[5, 3, 11, 8, 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], [2340173/524288, 4680347/1048576], [-3291611/2097152, -\
1645805/1048576]]]], [[5, 3, 11, 8, 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], [2340173/524288, 4680347/1048576], [0, 0]]]], [[5, 3, 11, 8,
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], [2340173/524288, 4680347/1048576], [1645805/
1048576, 822903/524288]]]], [[5, 3, 11, 8, 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], [
2340173/524288, 4680347/1048576], [3, 3]]]], [[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-u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[-1/2, -1/2], [343151/262144,
343151/262144], [1534619/2097152, 1534619/2097152], [1048577/2097152, 1048577/
2097152], [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-u^2+1 < y,y < u^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[0
, 0], [-1/2, -1/2], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[6, 5, 9, 7, 2], [v
= 0, And(-1 < u,u < 0), And(0 < x,x < 1), And(x-u^2+1 < y,y < u^2+x+1), z = -(
y-x)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [1/2, 1/2], [3/2, 3/2], [-\
1, -1]]]], [[6, 5, 9, 7, 3], [v = 0, And(-1 < u,u < 0), And(0 < x,x < 1), And(
x-u^2+1 < y,y < u^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[0, 0], [-1/2, -1/2], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[6,
5, 9, 7, 4], [v = 0, And(-1 < u,u < 0), And(0 < x,x < 1), And(x-u^2+1 < y,y <
u^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [1/2, 1/2],
[3/2, 3/2], [1, 1]]]], [[6, 5, 9, 7, 5], [v = 0, And(-1 < u,u < 0), And(0 < x,
x < 1), And(x-u^2+1 < y,y < u^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[0, 0
], [-1/2, -1/2], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[6, 7, 6, 2, 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, 2, 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, 2, 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, 7, 6, 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, 6, 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, 6, 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,
5, 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 < x), 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 = x, z < 0], [regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [2, 2], [
-1, -1]]]], [[7, 7, 11, 4, 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, 4, 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, 9, 8, 1,
1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 0, y < 0, z = z], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [0, 0], [-1, -\
1], [0, 0]]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[1/2
, 1/2], [343151/262144, 343151/262144], [-4, -4], [0, 0], [-3, -3]]]], [[7, 11
, 1, 8, 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, 8, 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, 8, 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, 8, 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, 4, 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, 4, 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, 4, 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, 5, 2, 3, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = -u^2, And(-u^2 < y,y
< -2*u^2+2), z < -(u^2+y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576,
-1265743/1048576], [-1527887/1048576, -763943/524288], [-4973015/4194304, -\
4973015/4194304], [-2, -2]]]], [[8, 5, 2, 3, 2], [v = 1, And(-2^(1/2) < u,u <
-1), x = -u^2, And(-u^2 < y,y < -2*u^2+2), z = -(u^2+y)^(1/2)], [regular_chain
, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1527887/1048576, -763943/
524288], [-4973015/4194304, -4973015/4194304], [-1092629/2097152, -273157/
524288]]]], [[8, 5, 2, 3, 3], [v = 1, And(-2^(1/2) < u,u < -1), x = -u^2, And(
-u^2 < 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], [-4973015/4194304, -4973015/4194304], [0, 0]]]], [[8
, 5, 2, 3, 4], [v = 1, And(-2^(1/2) < u,u < -1), x = -u^2, And(-u^2 < y,y < -2
*u^2+2), z = (u^2+y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [-1527887/1048576, -763943/524288], [-4973015/4194304, -\
4973015/4194304], [273157/524288, 546315/1048576]]]], [[8, 5, 2, 3, 5], [v = 1
, And(-2^(1/2) < u,u < -1), x = -u^2, And(-u^2 < y,y < -2*u^2+2), (u^2+y)^(1/2
) < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-\
1527887/1048576, -763943/524288], [-4973015/4194304, -4973015/4194304], [2, 2]
]]], [[8, 6, 6, 2, 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, 3, 7, 1], [v = 1, And(1
< u,u < 2^(1/2)), And(-u^2 < x,x < -1), And(0 < y,y < u^2+x), z < -(y-x)^(1/2)
], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1288231/
1048576, -1288231/1048576], [239655/2097152, 239655/2097152], [-3, -3]]]], [[8
, 11, 3, 7, 2], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), And(0 <
y,y < u^2+x), z = -(y-x)^(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, 7, 3], [v
= 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), And(0 < y,y < u^2+x), And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [1265743/1048576,
1265743/1048576], [-1288231/1048576, -1288231/1048576], [239655/2097152, 
239655/2097152], [0, 0]]]], [[8, 11, 3, 7, 4], [v = 1, And(1 < u,u < 2^(1/2)),
And(-u^2 < x,x < -1), And(0 < y,y < u^2+x), z = (y-x)^(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, 7, 5], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), 
And(0 < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576], [239655/
2097152, 239655/2097152], [3, 3]]]], [[8, 12, 7, 6, 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, 6,
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, 6, 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, 6, 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, 6, 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, 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 = z], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-14373233/8388608, -14373233/8388608], [-1, -1], [-775271/524288, -1550541
/1048576], [0, 0]]]], [[9, 4, 8, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^
(1/2), x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-410915/262144, -3287319/2097152], [1, 1], [1/2, 1/2], [0,
0]]]], [[9, 12, 1, 7, 1], [And(1 < v,v < 2^(1/2)), u = v, x < -1, 0 < y, z < -
(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [-2, -2], [1, 1], [-3, -3]]]], [[9, 12, 1, 7, 2], [
And(1 < v,v < 2^(1/2)), u = v, x < -1, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [-2, -2], [1, 1], [-1816187/1048576, -3632373/2097152]]]], [[9, 12,
1, 7, 3], [And(1 < v,v < 2^(1/2)), u = v, x < -1, 0 < y, And(-(y-x)^(1/2) < z,
z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1265743/1048576, 1265743/1048576], [-2, -2], [1, 1], [-1/4194304, -1/4194304]]
]], [[9, 12, 1, 7, 4], [And(1 < v,v < 2^(1/2)), u = v, x < -1, 0 < y, z = (y-x
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [-2, -2], [1, 1], [908093/524288, 1816187/1048576]]
]], [[9, 12, 1, 7, 5], [And(1 < v,v < 2^(1/2)), u = v, x < -1, 0 < y, (y-x)^(1
/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [-2, -2], [1, 1], [3, 3]]]], [[9, 13, 10, 1, 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], [-1, -1], [0, 0]]]], [[10, 2, 5, 7, 1], [v = 2^(1/2), u = -2
, And(-1 < x,x < 0), And(0 < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-2, -2], [-1/2, -1/2], [5/4, 5/4], [-3, -3]]
]], [[10, 2, 5, 7, 2], [v = 2^(1/2), u = -2, And(-1 < x,x < 0), And(0 < y,y <
x+3), z = -(y-x)^(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, 7, 3], [v = 2^(1/2), u = -2, And(-1 < x,x < 0), And(0 < y,y < x+3), And(-(y
-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [-1/2, -1/2], [5/4, 5/4], [0, 0]]]], [[10, 2, 5, 7, 4], [v
= 2^(1/2), u = -2, And(-1 < x,x < 0), And(0 < y,y < x+3), z = (y-x)^(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, 7, 5], [v = 2^(1/2), u =
-2, And(-1 < x,x < 0), And(0 < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [
[741455/524288, 1482911/1048576], [-2, -2], [-1/2, -1/2], [5/4, 5/4], [3, 3]]]
], [[10, 3, 10, 5, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, And(-u^2
+4 < y,y < 1), 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 < -(y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1,
-1], [-1, -1], [-1/2, -1/2], [-2, -2]]]], [[10, 8, 4, 3, 2], [v = 2^(1/2), u =
-1, x = -1, And(-1 < y,y < 0), z = -(y+1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [-1, -1], [-1/2, -1/2], [-1482911/2097152,
-741455/1048576]]]], [[10, 8, 4, 3, 3], [v = 2^(1/2), u = -1, x = -1, And(-1 <
y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1, -1], [-1/2,
-1/2], [741455/1048576, 46341/65536]]]], [[10, 8, 4, 3, 5], [v = 2^(1/2), u =
-1, x = -1, And(-1 < y,y < 0), (y+1)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [-1, -1], [-1/2, -1/2], [2, 2]]]], [[10, 9
, 10, 2, 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, 11, 6, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), 1 < x,
y = x-u^2+3, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [2, 2], [1323961/524288, 2647923
/1048576], [-2, -2]]]], [[10, 15, 11, 6, 2], [v = 2^(1/2), And(v < u,u < 3^(1/
2)), 1 < x, y = x-u^2+3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [3299097/2097152, 3299097/2097152], [2, 2], [1323961/
524288, 2647923/1048576], [-1519901/2097152, -379975/524288]]]], [[10, 15, 11,
6, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), 1 < x, y = x-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], [2, 2], [1323961/524288, 2647923
/1048576], [0, 0]]]], [[10, 15, 11, 6, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)
), 1 < x, y = x-u^2+3, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [2, 2], [1323961/524288,
2647923/1048576], [379975/524288, 759951/1048576]]]], [[10, 15, 11, 6, 5], [v
= 2^(1/2), And(v < u,u < 3^(1/2)), 1 < x, y = x-u^2+3, (-u^2+3)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [2, 2], [1323961/524288, 2647923/1048576], [2, 2]]]], [[10, 17, 7, 2
, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), y = x-u^2+3,
z = z], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [505467/2097152, 505467/2097152], [-126367/524288, -252733/
1048576], [0, 0]]]], [[10, 18, 7, 7, 1], [v = 2^(1/2), u = 2, And(0 < x,x < 1)
, And(x < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [2, 2], [1/2, 1/2], [2, 2], [-3, -3]]]], [[10, 18, 7, 7, 2],
[v = 2^(1/2), u = 2, And(0 < x,x < 1), And(x < y,y < x+3), z = -(y-x)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [1/2, 1/2], [2, 2],
[-1284239/1048576, -642119/524288]]]], [[10, 18, 7, 7, 3], [v = 2^(1/2), u = 2
, And(0 < x,x < 1), And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [1/2, 1/2], [2, 2
], [0, 0]]]], [[10, 18, 7, 7, 4], [v = 2^(1/2), u = 2, And(0 < x,x < 1), And(x
< y,y < x+3), z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [1/2, 1/2], [2, 2], [642119/524288, 1284239/1048576]]]], [[
10, 18, 7, 7, 5], [v = 2^(1/2), u = 2, And(0 < x,x < 1), And(x < y,y < x+3), (
y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [1
/2, 1/2], [2, 2], [3, 3]]]], [[11, 1, 1, 3, 1], [2^(1/2) < v, u < -(v^2+2)^(1/
2), x < -u^2+v^2-1, And(x-u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[3, 3
], [-5, -5], [-18, -18], [-51/2, -51/2], [0, 0]]]], [[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 <
0), z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-3161161/2097152, -395145/262144], [-133001/262144, -133001
/262144], [-3, -3]]]], [[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 < 0), z = -(y-u^2+v^2+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, 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 < 0), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+
v^2+1)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152],
[-3161161/2097152, -395145/262144], [-133001/262144, -133001/262144], [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 < 0), z = (y-u^2+v^2+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, 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 < 0), (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-3161161/2097152, -395145/262144], [-133001/
262144, -133001/262144], [3, 3]]]], [[11, 8, 6, 2, 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, 2, 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, 2,
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, 5, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 13, 10, 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, 10, 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, 10, 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, 20, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 4,
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, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 3, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u
,u < v), And(0 < x,x < 1), And(0 < y,y < x), z = z], [regular_chain, [[-3, -3]
, [-403851/131072, -403851/131072], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[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, -2*u^2+2*v^2 < y, z < -(u^2-v^2+y+1)^(1/2)], [regular_chain, [[-3, -3
], [0, 0], [8, 8], [19, 19], [-5, -5]]]], [[1, 11, 10, 7, 2], [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
= -(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, 7, 3], [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, 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, 7, 4], [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 = (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, 7, 5], [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, (u^2-v^
2+y+1)^(1/2) < z], [regular_chain, [[-3, -3], [0, 0], [8, 8], [19, 19], [5, 5]
]]], [[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 = z], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [-1, -1], [-3, -3], [0, 0]]]], [[1, 17, 9, 1, 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], [-1, -1]
, [0, 0]]]], [[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 < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-915943/524288,
-915943/524288], [2, 2], [-3, -3]]]], [[1, 19, 3, 9, 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), u^2-v^2+x+1 <
y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [-915943/524288, -915943/524288], [2, 2], [-4059505/2097152, -\
16238019/8388608]]]], [[1, 19, 3, 9, 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), u^2-v^2+x+1 < y, And(-(y-x)^(1
/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [-915943/524288, -915943/524288], [2, 2], [-3/16777216, -3/
16777216]]]], [[1, 19, 3, 9, 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), u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-915943/524288,
-915943/524288], [2, 2], [253719/131072, 2029753/1048576]]]], [[1, 19, 3, 9, 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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [-915943/524288, -915943/524288], [2, 2], [
3, 3]]]], [[2, 3, 9, 3, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(u^2-3
< x,x < 1), And(0 < y,y < x-u^2+3), z = z], [regular_chain, [[-1482911/1048576
, -741455/524288], [-3913339/2097152, -3913339/2097152], [388511/524288, 
388511/524288], [135777/1048576, 135777/1048576], [0, 0]]]], [[2, 5, 4, 2, 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, 2, 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, 2, 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, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 2, 2, 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, 2, 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, 2, 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, 3, 1],
[v = -2^(1/2), u = -v, x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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), u^2+x-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [1/2, 1/
2], [3, 3], [-3, -3]]]], [[2, 15, 9, 9, 2], [v = -2^(1/2), And(-v < u,u < 3^(1
/2)), And(0 < x,x < 1), u^2+x-1 < y, z = -(y-x)^(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, 9, 3], [v = -2^
(1/2), And(-v < u,u < 3^(1/2)), And(0 < x,x < 1), u^2+x-1 < y, And(-(y-x)^(1/2
) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288],
[3299097/2097152, 3299097/2097152], [1/2, 1/2], [3, 3], [0, 0]]]], [[2, 15, 9,
9, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(0 < x,x < 1), u^2+x-1 < y,
z = (y-x)^(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, 9, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(0
< x,x < 1), u^2+x-1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [3299097/2097152, 3299097/2097152], [1/2, 1/2], [3, 3], [3, 3
]]]], [[2, 19, 11, 2, 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, 2, 1, 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], [-5, -5], [0, 0]]]], [[3, 8, 4,
6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 < 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0
], [1, 1], [-1, -1], [0, 0]]]], [[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 < -(u^2-v^2+
1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-\
10006449/2097152, -10006449/2097152], [494331/131072, 3954649/1048576], [-4, -\
4]]]], [[3, 17, 3, 8, 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], [494331/131072, 3954649/1048576], [-1532401/524288, -24518415/
8388608]]]], [[3, 17, 3, 8, 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], [494331/131072, 3954649/1048576],
[-7/16777216, -7/16777216]]]], [[3, 17, 3, 8, 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], [494331/131072, 3954649/1048576], [
3064801/1048576, 1532401/524288]]]], [[3, 17, 3, 8, 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], [494331/131072, 3954649/1048576], [4,
4]]]], [[4, 1, 5, 7, 1], [v = -1, u < -3^(1/2), And(-1 < x,x < 0), And(0 < y,y
< u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-1/2, -1/2]
, [17/4, 17/4], [-4, -4]]]], [[4, 1, 5, 7, 2], [v = -1, u < -3^(1/2), And(-1 <
x,x < 0), And(0 < y,y < u^2+x), z = -(y-x)^(1/2)], [regular_chain, [[-1, -1],
[-3, -3], [-1/2, -1/2], [17/4, 17/4], [-2285319/1048576, -1142659/524288]]]],
[[4, 1, 5, 7, 3], [v = -1, u < -3^(1/2), And(-1 < x,x < 0), And(0 < y,y < u^2+
x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-3, -3
], [-1/2, -1/2], [17/4, 17/4], [0, 0]]]], [[4, 1, 5, 7, 4], [v = -1, u < -3^(1
/2), And(-1 < x,x < 0), And(0 < y,y < u^2+x), z = (y-x)^(1/2)], [regular_chain
, [[-1, -1], [-3, -3], [-1/2, -1/2], [17/4, 17/4], [1142659/524288, 2285319/
1048576]]]], [[4, 1, 5, 7, 5], [v = -1, u < -3^(1/2), And(-1 < x,x < 0), And(0
< y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-3, -3], [-1/2,
-1/2], [17/4, 17/4], [4, 4]]]], [[4, 7, 7, 8, 1], [v = -1, And(-1 < u,u < 0),
And(-u^2 < x,x < 0), y = x-u^2+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, 8, 2],
[v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), y = x-u^2+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, 8, 3], [v = -1, And(-1 < u,u < 0)
, And(-u^2 < x,x < 0), y = x-u^2+2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2)
)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8], [13/8, 13/8], [0, 0
]]]], [[4, 7, 7, 8, 4], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), y = x
-u^2+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, 8, 5], [v = -\
1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), y = x-u^2+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, 7, 1], [v = -1, And(0 < u,u < 1), x = u^2-2, 0 < y, z < -(y-u^2+2)^
(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-7/4, -7/4], [1, 1], [-3, -3]]
]], [[4, 9, 2, 7, 2], [v = -1, And(0 < u,u < 1), x = u^2-2, 0 < y, z = -(y-u^2
+2)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-7/4, -7/4], [1, 1], [-\
1738867/1048576, -3477733/2097152]]]], [[4, 9, 2, 7, 3], [v = -1, And(0 < u,u
< 1), x = u^2-2, 0 < y, And(-(y-u^2+2)^(1/2) < z,z < (y-u^2+2)^(1/2))], [
regular_chain, [[-1, -1], [1/2, 1/2], [-7/4, -7/4], [1, 1], [-1/4194304, -1/
4194304]]]], [[4, 9, 2, 7, 4], [v = -1, And(0 < u,u < 1), x = u^2-2, 0 < y, z
= (y-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-7/4, -7/4], [1, 1
], [869433/524288, 1738867/1048576]]]], [[4, 9, 2, 7, 5], [v = -1, And(0 < u,u
< 1), x = u^2-2, 0 < y, (y-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [1/2,
1/2], [-7/4, -7/4], [1, 1], [3, 3]]]], [[4, 13, 7, 5, 1], [v = -1, And(2^(1/2)
< u,u < 3^(1/2)), And(0 < x,x < u^2-2), And(0 < y,y < x), 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 = x, z < 0], [regular_chain, [[-1, -1], [
908093/524288, 1816187/1048576], [2, 2], [2, 2], [-1, -1]]]], [[4, 14, 9, 6, 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, 6, 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, 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), u^2-v^2
+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152,
-1696631/2097152], [-1248837/4194304, -1248837/4194304], [3, 3], [-3, -3]]]],
[[5, 5, 7, 9, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v
^2-1 < x,x < 0), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 3], [
And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), u^
2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2,
-1/2], [-1696631/2097152, -1696631/2097152], [-1248837/4194304, -1248837/
4194304], [3, 3], [0, 0]]]], [[5, 5, 7, 9, 4], [And(-1 < v,v < 0), And(-(v^2+1
)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(u^
2-v^2-1 < x,x < 0), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2,
-1/2], [-1696631/2097152, -1696631/2097152], [-1248837/4194304, -1248837/
4194304], [3, 3], [3, 3]]]], [[5, 7, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 1, 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], [-1, -1], [0, 0]]]], [[5, 10
, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 9, 7, 1], [v = 0, u = -2^(1/2),
1 < x, And(x < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [2, 2], [7/2, 7/2], [-3, -3]]]], [[6, 2, 9,
7, 2], [v = 0, u = -2^(1/2), 1 < x, And(x < y,y < x+3), z = -(y-x)^(1/2)], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [2, 2], [7/2, 7/2]
, [-1284239/1048576, -642119/524288]]]], [[6, 2, 9, 7, 3], [v = 0, u = -2^(1/2
), 1 < x, And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [2, 2], [7/2, 7/2]
, [0, 0]]]], [[6, 2, 9, 7, 4], [v = 0, u = -2^(1/2), 1 < x, And(x < y,y < x+3)
, z = (y-x)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288
], [2, 2], [7/2, 7/2], [642119/524288, 1284239/1048576]]]], [[6, 2, 9, 7, 5],
[v = 0, u = -2^(1/2), 1 < x, And(x < y,y < x+3), (y-x)^(1/2) < z], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [2, 2], [7/2, 7/2]
, [3, 3]]]], [[6, 4, 3, 3, 1], [v = 0, u = -1, And(-2 < x,x < -1), And(x < y,y
< 0), z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-3/2, -3/2], [-3/
4, -3/4], [-2, -2]]]], [[6, 4, 3, 3, 2], [v = 0, u = -1, And(-2 < x,x < -1), 
And(x < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-3/2,
-3/2], [-3/4, -3/4], [-1816187/2097152, -3632373/4194304]]]], [[6, 4, 3, 3, 3]
, [v = 0, u = -1, And(-2 < x,x < -1), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[0, 0], [-1, -1], [-3/2, -3/2], [-3/4, -3/4]
, [-1/8388608, -1/8388608]]]], [[6, 4, 3, 3, 4], [v = 0, u = -1, And(-2 < x,x
< -1), And(x < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [-1, -1],
[-3/2, -3/2], [-3/4, -3/4], [908093/1048576, 454047/524288]]]], [[6, 4, 3, 3,
5], [v = 0, u = -1, And(-2 < x,x < -1), And(x < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[0, 0], [-1, -1], [-3/2, -3/2], [-3/4, -3/4], [2, 2]]]], [[6,
8, 9, 2, 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, 3, 1], [v = 0, u = 2^(1/2), x = -3,
And(-4 < y,y < -3), z = z], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [-3, -3], [-7/2, -7/2], [0, 0]]]], [[7, 4, 9, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 < x-u^2+v^2+1, z = z],
[regular_chain, [[1/2, 1/2], [3, 3], [35/8, 35/8], [-5, -5], [0, 0]]]], [[8, 1
, 11, 6, 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, 6, 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, 6, 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, 1, 1], [v = 1, u = 0, x = -2, y < -2, z = z], [regular_chain, [[1, 1], [0,
0], [-2, -2], [-3, -3], [0, 0]]]], [[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+3 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [908093/
524288, 1816187/1048576], [-4, -4], [-1/2, -1/2], [-3, -3]]]], [[8, 14, 1, 7,
2], [v = 1, u = 3^(1/2), x < -3, And(x+3 < y,y < 0), z = -(y-x)^(1/2)], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-4, -4], [-1/2, -1/
2], [-7846825/4194304, -980853/524288]]]], [[8, 14, 1, 7, 3], [v = 1, u = 3^(1
/2), x < -3, And(x+3 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-4, -4], [-1/2, -1/
2], [0, 0]]]], [[8, 14, 1, 7, 4], [v = 1, u = 3^(1/2), x < -3, And(x+3 < y,y <
0), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576
], [-4, -4], [-1/2, -1/2], [980853/524288, 1961707/1048576]]]], [[8, 14, 1, 7,
5], [v = 1, u = 3^(1/2), x < -3, And(x+3 < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-4, -4], [-1/2, -1/
2], [3, 3]]]], [[8, 15, 6, 3, 1], [v = 1, 3^(1/2) < u, x = 0, And(-u^2+2 < y,y
< 0), z = z], [regular_chain, [[1, 1], [3, 3], [0, 0], [-7/2, -7/2], [0, 0]]]]
, [[9, 6, 2, 2, 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, 2, 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, 2, 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, 3, 1],
[And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1, And(0 < y,y <
1), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [1, 1], [1/2, 1/2], [0, 0]]]], [[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), x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [2, 2
], [-3, -3]]]], [[9, 9, 3, 9, 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), x-u^2+v^2+1 < y, z = -(y-x)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-\
1812519/1048576, -1812519/1048576], [2, 2], [-8098975/4194304, -16197949/
8388608]]]], [[9, 9, 3, 9, 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), x-u^2+v^2+1 < y, And(-(y-x)^(1
/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [0, 0], [-1812519/1048576, -1812519/1048576], [2, 2], [-5/16777216, -5/
16777216]]]], [[9, 9, 3, 9, 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), x-u^2+v^2+1 < y, z = (y-x)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1812519/
1048576, -1812519/1048576], [2, 2], [2024743/1048576, 253093/131072]]]], [[9,
9, 3, 9, 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), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1812519/1048576,
-1812519/1048576], [2, 2], [3, 3]]]], [[9, 10, 8, 1, 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], [-1, -1], [0, 0]]
]], [[9, 16, 9, 7, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), 1 < x, And(
x < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [121853/65536, 1949649/1048576], [2, 2], [7/2, 7/2], [-3, -3]]]], [[
9, 16, 9, 7, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), 1 < x, And(x < y,
y < x+3), z = -(y-x)^(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, 7, 3], [And(1 < v,v < 2^(1/2)), u = (
v^2+2)^(1/2), 1 < x, And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649
/1048576], [2, 2], [7/2, 7/2], [0, 0]]]], [[9, 16, 9, 7, 4], [And(1 < v,v < 2^
(1/2)), u = (v^2+2)^(1/2), 1 < x, And(x < y,y < x+3), z = (y-x)^(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,
7, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), 1 < x, And(x < y,y < x+3),
(y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853
/65536, 1949649/1048576], [2, 2], [7/2, 7/2], [3, 3]]]], [[10, 1, 3, 3, 1], [v
= 2^(1/2), u < -2, And(-u^2+1 < x,x < -1), And(x-u^2+3 < y,y < x), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9/2, -9/2], [-15
/2, -15/2], [0, 0]]]], [[10, 5, 4, 1, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -
v), x = -1, y < -1, z = z], [regular_chain, [[741455/524288, 1482911/1048576],
[-6598195/4194304, -6598195/4194304], [-1, -1], [-2, -2], [0, 0]]]], [[10, 7,
1, 2, 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, 2, 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, 2, 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, 9, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 4, 1, 1
], [v = 2^(1/2), u = v, x = 0, y < 0, z = z], [regular_chain, [[741455/524288,
1482911/1048576], [741455/524288, 1482911/1048576], [0, 0], [-1, -1], [0, 0]]]
], [[11, 2, 3, 7, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-3 < x,x < -1), 
And(0 < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[11, 2, 3, 7, 2
], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), z
= -(y-x)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576],
[-2, -2], [1/2, 1/2], [-3315889/2097152, -207243/131072]]]], [[11, 2, 3, 7, 3]
, [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [-2, -2], [1/2, 1/2], [0, 0]]]], [[11, 2, 3, 7, 4],
[2^(1/2) < v, u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), z =
(y-x)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-\
2, -2], [1/2, 1/2], [207243/131072, 1657945/1048576]]]], [[11, 2, 3, 7, 5], [2
^(1/2) < v, u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), (y-x)^
(1/2) < z], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-2,
-2], [1/2, 1/2], [3, 3]]]], [[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(0 < y,y < u^2-v^2-1), z = z], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [129511/262144,
518045/1048576], [129511/524288, 129511/524288], [0, 0]]]], [[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(x < y,y
< x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608
, -22960369/8388608], [2, 2], [6824491/2097152, 6824491/2097152], [-3, -3]]]],
[[11, 9, 11, 7, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)),
1 < x, And(x < y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[3, 3],
[-22960369/8388608, -22960369/8388608], [2, 2], [6824491/2097152, 6824491/
2097152], [-587149/524288, -1174297/1048576]]]], [[11, 9, 11, 7, 3], [2^(1/2)
< v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, And(x < y,y < x-u^2+v^
2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [2, 2], [6824491/2097152, 6824491/
2097152], [0, 0]]]], [[11, 9, 11, 7, 4], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,
u < -(v^2-2)^(1/2)), 1 < x, And(x < y,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [2, 2], [
6824491/2097152, 6824491/2097152], [1174297/1048576, 587149/524288]]]], [[11,
9, 11, 7, 5], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x,
And(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [2, 2], [6824491/2097152, 6824491/
2097152], [3, 3]]]], [[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 < x), z = z], [
regular_chain, [[3, 3], [0, 0], [-1/2, -1/2], [-9/2, -9/2], [0, 0]]]], [[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-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [399003/
524288, 798007/1048576], [-3, -3]]]], [[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-u^2+v^2+1, z = -(-u^
2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152],
[-391287/524288, -391287/524288], [399003/524288, 798007/1048576], [-1287385/
1048576, -160923/131072]]]], [[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-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], [-391287/524288, -391287/524288], [399003/524288, 798007/
1048576], [0, 0]]]], [[11, 15, 5, 8, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u
< v), And(-1 < x,x < -u^2+v^2-1), y = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-391287/524288, -\
391287/524288], [399003/524288, 798007/1048576], [160923/131072, 1287385/
1048576]]]], [[11, 15, 5, 8, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 
And(-1 < x,x < -u^2+v^2-1), y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-391287/524288, -\
391287/524288], [399003/524288, 798007/1048576], [3, 3]]]], [[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 =
x, z < 0], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-2614535/
2097152, -2614535/2097152], [-326817/262144, -1307267/1048576], [-1, -1]]]], [
[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 = x, z = 0], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-2614535/2097152, -2614535/2097152], [-326817/262144, -1307267/
1048576], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [-326817/
262144, -1307267/1048576], [1, 1]]]], [[1, 1, 7, 1, 1], [v < -2^(1/2), u < -(v
^2+2)^(1/2), And(0 < x,x < 1), y < x-u^2+v^2+1, z = z], [regular_chain, [[-3,
-3], [-5, -5], [1/2, 1/2], [-16, -16], [0, 0]]]], [[1, 2, 9, 2, 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, 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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3]
, [-22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304]
, [790805/1048576, 395403/524288], [-3, -3]]]], [[1, 9, 3, 8, 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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [790805/
1048576, 395403/524288], [-3321417/2097152, -415177/262144]]]], [[1, 9, 3, 8,
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-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], [-\
7357527/4194304, -7357527/4194304], [790805/1048576, 395403/524288], [0, 0]]]]
, [[1, 9, 3, 8, 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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-7357527/
4194304, -7357527/4194304], [790805/1048576, 395403/524288], [415177/262144, 
1660709/1048576]]]], [[1, 9, 3, 8, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1
/2) < z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [
-7357527/4194304, -7357527/4194304], [790805/1048576, 395403/524288], [3, 3]]]
], [[1, 10, 5, 7, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-1 < x,x < 0), 
And(0 < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [-1/2, -1/2], [5/4, 5/4], [-3, -3]]]], [[1, 10, 5,
7, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3
), z = -(y-x)^(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, 7, 3], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-1 < x,x < 0), And(0 < y,
y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [
-5548543/2097152, -2774271/1048576], [-1/2, -1/2], [5/4, 5/4], [0, 0]]]], [[1,
10, 5, 7, 4], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-1 < x,x < 0), And(0 < y,
y < x+3), z = (y-x)^(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, 7, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-1 < x,x < 0), And(0
< y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-5548543/2097152,
-2774271/1048576], [-1/2, -1/2], [5/4, 5/4], [3, 3]]]], [[1, 14, 6, 3, 1], [v
< -2^(1/2), u = (v^2-1)^(1/2), x = 0, And(0 < y,y < 2), 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(0 <
y,y < 2), 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(0 < y,y < 2), 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(0 < y
,y < 2), 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(0 < y,y < 2), 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(0 < y,y < x), z =
z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [2, 2], [1,
1], [0, 0]]]], [[2, 1, 1, 9, 1], [v = -2^(1/2), u < -2, x < -u^2+1, 0 < y, z <
-(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3],
[-9, -9], [1, 1], [-5, -5]]]], [[2, 1, 1, 9, 2], [v = -2^(1/2), u < -2, x < -u
^2+1, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [-9, -9], [1, 1], [-3315889/1048576, -207243/65536]]]], [[2
, 1, 1, 9, 3], [v = -2^(1/2), u < -2, x < -u^2+1, 0 < y, And(-(y-x)^(1/2) < z,
z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -\
3], [-9, -9], [1, 1], [0, 0]]]], [[2, 1, 1, 9, 4], [v = -2^(1/2), u < -2, x <
-u^2+1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [-9, -9], [1, 1], [207243/65536, 3315889/1048576]]]], [[2,
1, 1, 9, 5], [v = -2^(1/2), u < -2, x < -u^2+1, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-9, -9], [1, 1]
, [5, 5]]]], [[2, 2, 4, 1, 1], [v = -2^(1/2), u = -2, x = -1, y < -2, z = z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-1, -1], [-3,
-3], [0, 0]]]], [[2, 9, 9, 2, 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, 2, 1, 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], [-5, -5], [0, 0]
]]], [[2, 17, 5, 7, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x <
0), And(0 < y,y < u^2+x-1), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [
2078331/2097152, 2078331/2097152], [-3, -3]]]], [[2, 17, 5, 7, 2], [v = -2^(1/
2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), And(0 < y,y < u^2+x-1), z = -(y
-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [-1/2, -1/2], [2078331/2097152, 2078331/2097152], [
-1280391/1048576, -640195/524288]]]], [[2, 17, 5, 7, 3], [v = -2^(1/2), And(3^
(1/2) < u,u < 2), And(-1 < x,x < 0), And(0 < y,y < u^2+x-1), And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [-1/2, -1/2], [2078331/2097152, 2078331/
2097152], [0, 0]]]], [[2, 17, 5, 7, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2),
And(-1 < x,x < 0), And(0 < y,y < u^2+x-1), z = (y-x)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-1/2,
-1/2], [2078331/2097152, 2078331/2097152], [640195/524288, 1280391/1048576]]]]
, [[2, 17, 5, 7, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0),
And(0 < y,y < u^2+x-1), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [2078331/
2097152, 2078331/2097152], [3, 3]]]], [[2, 18, 7, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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(x-
u^2+v^2+1 < y,y < 0), 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, 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 = -
u^2+v^2-1, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-1538813/1048576, -384703/262144], [-\
1538813/1048576, -384703/262144], [-1, -1]]]], [[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 = -u^2+v^2-1, z
= 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304
, -5818805/4194304], [-1538813/1048576, -384703/262144], [-1538813/1048576, -\
384703/262144], [0, 0]]]], [[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 = -u^2+v^2-1, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1538813/1048576, -384703/262144], [-1538813/1048576, -\
384703/262144], [1, 1]]]], [[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-u^2+v^2+1, z < -(-
u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-374737/524288, -374737/524288], [448653/
524288, 897307/1048576], [-3, -3]]]], [[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-u^2+v^2+
1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/524288],
[448653/524288, 897307/1048576], [-1314069/1048576, -328517/262144]]]], [[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-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], [-374737/524288, -374737/524288], [448653/524288, 
897307/1048576], [0, 0]]]], [[3, 11, 5, 8, 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 = x-u^2+v^2+1, z = (-
u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-374737/524288, -374737/524288], [448653/
524288, 897307/1048576], [328517/262144, 1314069/1048576]]]], [[3, 11, 5, 8, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-374737
/524288, -374737/524288], [448653/524288, 897307/1048576], [3, 3]]]], [[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 < 0), z < -(u^2-v^2+y+1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
384703/262144, -1538811/1048576], [-7843775/16777216, -7843775/16777216], [-3,
-3]]]], [[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 < 0), z = -(u^2-v^2+y+1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-384703/262144, -1538811/1048576], [-7843775/16777216, -\
7843775/16777216], [-1048577/1048576, -1]]]], [[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 < 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], [-7843775/16777216, -\
7843775/16777216], [0, 0]]]], [[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 < 0), z
= (u^2-v^2+y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1454701/1048576, 1454701/1048576], [-384703/262144, -1538811/1048576], [-\
7843775/16777216, -7843775/16777216], [1, 1048577/1048576]]]], [[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 < 0), (u^2-v^2+y+1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
384703/262144, -1538811/1048576], [-7843775/16777216, -7843775/16777216], [3,
3]]]], [[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 = 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], [843597/262144, 3374389/1048576], [-3, -3]]]], [[3, 15, 9, 8,
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], [843597/262144, 3374389/1048576], [-3301741/2097152
, -825435/524288]]]], [[3, 15, 9, 8, 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], [843597/262144, 3374389/1048576], [0, 0]]]], [[3, 15, 9, 8, 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], [843597/262144, 3374389/1048576], [825435/524288, 
1650871/1048576]]]], [[3, 15, 9, 8, 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], [843597/
262144, 3374389/1048576], [3, 3]]]], [[4, 4, 5, 1, 1], [v = -1, u = -2^(1/2),
And(-1 < x,x < 0), y < x, z = z], [regular_chain, [[-1, -1], [-1482911/1048576
, -741455/524288], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[4, 5, 10, 3, 1], [v =
-1, And(-2^(1/2) < u,u < -1), x = 1, And(0 < y,y < 1), z = z], [regular_chain,
[[-1, -1], [-1265743/1048576, -1265743/1048576], [1, 1], [1/2, 1/2], [0, 0]]]]
, [[4, 10, 4, 5, 1], [v = -1, u = 1, x = 0, 1 < y, z < -y^(1/2)], [
regular_chain, [[-1, -1], [1, 1], [0, 0], [2, 2], [-3, -3]]]], [[4, 10, 4, 5,
2], [v = -1, u = 1, x = 0, 1 < y, z = -y^(1/2)], [regular_chain, [[-1, -1], [1
, 1], [0, 0], [2, 2], [-1482911/1048576, -741455/524288]]]], [[4, 10, 4, 5, 3]
, [v = -1, u = 1, x = 0, 1 < y, And(-y^(1/2) < z,z < y^(1/2))], [regular_chain
, [[-1, -1], [1, 1], [0, 0], [2, 2], [0, 0]]]], [[4, 10, 4, 5, 4], [v = -1, u
= 1, x = 0, 1 < y, z = y^(1/2)], [regular_chain, [[-1, -1], [1, 1], [0, 0], [2
, 2], [741455/524288, 1482911/1048576]]]], [[4, 10, 4, 5, 5], [v = -1, u = 1,
x = 0, 1 < y, y^(1/2) < z], [regular_chain, [[-1, -1], [1, 1], [0, 0], [2, 2],
[3, 3]]]], [[4, 11, 11, 5, 1], [v = -1, And(1 < u,u < 2^(1/2)), 1 < x, And(x <
y,y < x-u^2+2), z < -(y-x)^(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(x < y,y < x-u^2
+2), z = -(y-x)^(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(x < y,y < x-u^2+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < x-u^2+2), z = (y-x)^(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(x < y,y < x-u^2+2), (
y-x)^(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 = 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, 8, 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, 8, 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, 8, 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, 8, 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, 9, 1], [And(-1 < v,v < 0), And(
-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, z < -(y-x)^(1/
2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [2, 2],
[6, 6], [-3, -3]]]], [[5, 3, 11, 9, 2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [2, 2], [6, 6]
, [-2, -2]]]], [[5, 3, 11, 9, 3], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [2, 2],
[6, 6], [0, 0]]]], [[5, 3, 11, 9, 4], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [2, 2], [6, 6]
, [2, 2]]]], [[5, 3, 11, 9, 5], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-\
1/2, -1/2], [-343151/262144, -343151/262144], [2, 2], [6, 6], [3, 3]]]], [[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-u^2+v^2+1, z = z], [regular_chain, [[-1/2, -1/
2], [343151/262144, 343151/262144], [1534619/2097152, 1534619/2097152], [
281267/1048576, 70317/262144], [0, 0]]]], [[5, 13, 2, 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
= z], [regular_chain, [[-1/2, -1/2], [3, 3], [-39/4, -39/4], [-109/8, -109/8],
[0, 0]]]], [[6, 5, 9, 8, 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, 8, 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, 8, 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, 8, 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,
8, 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, 3, 1], [v = 0, And(0 < u,u < 1), x = u^2-1, And(u^2-1 < y,y < 0),
z < -(y-u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3/4, -3/4], [-3/
8, -3/8], [-2, -2]]]], [[6, 7, 6, 3, 2], [v = 0, And(0 < u,u < 1), x = u^2-1,
And(u^2-1 < y,y < 0), z = -(y-u^2+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, 3, 3], [v = 0, And(0 < u,u < 1), x = u^2-1, And(u^2-1 < y,y < 0), And(-(y
-u^2+1)^(1/2) < z,z < (y-u^2+1)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2],
[-3/4, -3/4], [-3/8, -3/8], [0, 0]]]], [[6, 7, 6, 3, 4], [v = 0, And(0 < u,u <
1), x = u^2-1, And(u^2-1 < y,y < 0), z = (y-u^2+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, 3, 5], [v = 0, And(0 < u,u < 1), x = u^2-1, And(u^2-1 < y,y < 0)
, (y-u^2+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, 5, 1], [v = 0, 2^(1/2) < u, And(0 < x,x < 1)
, And(0 < y,y < x), 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 = 0, z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [
35/8, 35/8], [0, 0], [0, 0]]]], [[7, 7, 11, 5, 1], [And(0 < v,v < 1), And(-v <
u,u < v), 1 < x, And(x < y,y < u^2-v^2+x+1), z < -(y-x)^(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(x < y,y < u^2-v^2+x+1), z = -(
y-x)^(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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z <
(y-x)^(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(x <
y,y < u^2-v^2+x+1), z = (y-x)^(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(x < y,y < u^2-v^2+x+1), (y-x)^(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 = 0,
z < 0], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [0, 0
], [0, 0], [-1, -1]]]], [[7, 9, 8, 2, 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, 2, 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, 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, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [
343151/262144, 343151/262144], [-4, -4], [1, 1], [-4, -4]]]], [[7, 11, 1, 9, 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
, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 
343151/262144], [-4, -4], [1, 1], [-146543/65536, -2344687/1048576]]]], [[7, 
11, 1, 9, 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, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1
/2, 1/2], [343151/262144, 343151/262144], [-4, -4], [1, 1], [0, 0]]]], [[7, 11
, 1, 9, 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, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [-4, -4], [1, 1], [2344687/1048576, 146543/65536]]]],
[[7, 11, 1, 9, 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, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
343151/262144, 343151/262144], [-4, -4], [1, 1], [4, 4]]]], [[7, 12, 4, 5, 1],
[And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1
< y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/
2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+
1)^(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 =
-u^2, z < 0], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [
-1527887/1048576, -763943/524288], [-1527887/1048576, -763943/524288], [-1, -1
]]]], [[8, 5, 2, 2, 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], [-1527887/1048576, -763943/524288], [0, 0]]]
], [[8, 5, 2, 2, 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], [-1527887/1048576, -763943/524288], [1, 1]]]], [[8,
6, 6, 1, 1], [v = 1, u = -1, x = 1, y < 0, z = z], [regular_chain, [[1, 1], [-\
1, -1], [1, 1], [-1, -1], [0, 0]]]], [[8, 11, 3, 8, 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], [
239655/1048576, 29957/131072], [-3, -3]]]], [[8, 11, 3, 8, 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],
[239655/1048576, 29957/131072], [-1265743/1048576, -1265743/1048576]]]], [[8,
11, 3, 8, 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], [239655/1048576, 29957/131072], [0, 0
]]]], [[8, 11, 3, 8, 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], [239655/1048576, 29957/131072], [
1265743/1048576, 1265743/1048576]]]], [[8, 11, 3, 8, 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], [
239655/1048576, 29957/131072], [3, 3]]]], [[8, 12, 7, 7, 1], [v = 1, u = 2^(1/
2), And(0 < x,x < 1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [
741455/524288, 1482911/1048576], [1/2, 1/2], [4, 4], [-3, -3]]]], [[8, 12, 7,
7, 2], [v = 1, u = 2^(1/2), And(0 < x,x < 1), x+2 < y, z = -(y-x)^(1/2)], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [1/2, 1/2], [4, 4],
[-7846825/4194304, -980853/524288]]]], [[8, 12, 7, 7, 3], [v = 1, u = 2^(1/2),
And(0 < x,x < 1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [1/2, 1/2], [4, 4],
[0, 0]]]], [[8, 12, 7, 7, 4], [v = 1, u = 2^(1/2), And(0 < x,x < 1), x+2 < y,
z = (y-x)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [
1/2, 1/2], [4, 4], [980853/524288, 1961707/1048576]]]], [[8, 12, 7, 7, 5], [v
= 1, u = 2^(1/2), And(0 < x,x < 1), x+2 < y, (y-x)^(1/2) < z], [regular_chain,
[[1, 1], [741455/524288, 1482911/1048576], [1/2, 1/2], [4, 4], [3, 3]]]], [[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 = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [-3, -3], [0, 0]]]
], [[9, 4, 8, 2, 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, 2, 1, 1], [And(1 < v,
v < 2^(1/2)), u = v, x = -1, y < -1, z = z], [regular_chain, [[1265743/1048576
, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [-2, -2], [0
, 0]]]], [[9, 13, 10, 2, 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, 5,
6, 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, 6, 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,
6, 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, 6, 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, 6, 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, 10, 4, 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], [135777/262144, 543109/1048576],
[0, 0]]]], [[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
(0 < y,y < u^2), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1/2, -1/2], [1, 1], [1/8, 1/8], [0, 0]]]], [[10, 15, 11, 5, 1], [v = 2^(1/2),
And(v < u,u < 3^(1/2)), 1 < x, And(x < y,y < x-u^2+3), z < -(y-x)^(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(x < y,y < x-u^2+3)
, z = -(y-x)^(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(x < y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y
-x)^(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(x < y,y < x-u^2+3), z = (y-x)^(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(x < y,y < x-u^
2+3), (y-x)^(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 < x-u^2+3, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [505467/2097152, 505467/2097152]
, [-2, -2], [0, 0]]]], [[10, 18, 7, 6, 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, 6, 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, 6, 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,
1, 2, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = x-u^2+v^2+1, z
= z], [regular_chain, [[3, 3], [-5, -5], [-18, -18], [-33, -33], [0, 0]]]], [[
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 = 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 3, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 0, And(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [-1/2, -1/2], [5/4, 5/4], [-3, -3]]]], [[11, 12, 5, 7, 2
], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), z =
-(y-x)^(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, 7, 3], [2^
(1/2) < v, u = (v^2-2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), And(-(y-x
)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [2774271/1048576, 
10837/4096], [-1/2, -1/2], [5/4, 5/4], [0, 0]]]], [[11, 12, 5, 7, 4], [2^(1/2)
< v, u = (v^2-2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), z = (y-x)^(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, 7, 5], [2^(1/2) < v, u =
(v^2-2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1/2, -1/2], [5/4, 5/4
], [3, 3]]]], [[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(u^2-v^2+2 < y,y < 1), 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, 0 < y, z <
-(y+3)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-3
, -3], [1, 1], [-3, -3]]]], [[11, 20, 2, 7, 2], [2^(1/2) < v, u = (v^2+2)^(1/2
), x = -3, 0 < y, z = -(y+3)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576
, 1738867/524288], [-3, -3], [1, 1], [-2, -2]]]], [[11, 20, 2, 7, 3], [2^(1/2)
< v, u = (v^2+2)^(1/2), x = -3, 0 < y, And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))],
[regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-3, -3], [1, 1],
[0, 0]]]], [[11, 20, 2, 7, 4], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -3, 0 < y,
z = (y+3)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288],
[-3, -3], [1, 1], [2, 2]]]], [[11, 20, 2, 7, 5], [2^(1/2) < v, u = (v^2+2)^(1/
2), x = -3, 0 < y, (y+3)^(1/2) < z], [regular_chain, [[3, 3], [3477733/1048576
, 1738867/524288], [-3, -3], [1, 1], [3, 3]]]], [[11, 21, 7, 5, 1], [2^(1/2) <
v, (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(0 < y,y < x), 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 < y,y < 0)
, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/
65536], [-3/2, -3/2], [-3/4, -3/4], [-2, -2]]]], [[1, 4, 3, 3, 2], [v < -2^(1/
2), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v <
-2^(1/2), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), And(-(y-x)
^(1/2) < z,z < (y-x)^(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, 3, 4], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(x < y,y
< 0), z = (y-x)^(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, 3, 5], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(x < y,y
< 0), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/
65536], [-3/2, -3/2], [-3/4, -3/4], [2, 2]]]], [[1, 5, 9, 4, 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, 4, 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, 4, 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, 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 = -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,
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 = -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, 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
= -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, 6,
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, 6, 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, 4, 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, 4, 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, 4, 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, 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 < 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, 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 < 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, 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 < 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, 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 < 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, 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 < 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, 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 = z], [regular_chain
, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1, -1], [-3, -3], [0, 0]]]]
, [[2, 3, 9, 2, 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, 4, 5, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -1, And
(-u^2+2 < y,y < 0), z < -(y+1)^(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(-u^2+2 < y,y < 0), z = -(y+1)^(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(-u^2+2 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-u^2+2 < y,
y < 0), z = (y+1)^(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(-u^2+2 < y,y < 0), (y+1)^(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(0 < y,y < 1), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [1, 1], [1/2, 1/2], [0, 0]]]], [[2, 8, 2, 3, 1], [v = -2^(1/2), u =
-1, x = -2, And(-2 < y,y < 0), z < -(y+2)^(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(-2 < y,y < 0), z = -(y+2)^(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(-2 < y,
y < 0), And(-(y+2)^(1/2) < z,z < (y+2)^(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(-2 < y,y < 0), z = (y+2)^(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(-2 < y,y <
0), (y+2)^(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 = -1, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288],
[741455/524288, 1482911/1048576], [-1, -1], [-1, -1], [-1, -1]]]], [[2, 14, 2,
2, 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, 2, 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, 3, 1], [v = -2^(
1/2), And(-v < u,u < 3^(1/2)), x = 1, And(0 < y,y < 1), z = z], [regular_chain
, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [1,
1], [1/2, 1/2], [0, 0]]]], [[2, 19, 10, 6, 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, 6, 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, 6, 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, 6, 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, 6,
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, 2, 2, 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, 4,
5, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -1, And(0 < y,y < 1)
, z < -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [-1, -1], [1/2, 1/2], [-3, -3]]]], [[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 = -(y+1)^(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, 5, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(
1/2), x = -1, And(0 < 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], [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 = (y+1)^(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, 5, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -1, And(0 <
y,y < 1), (y+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [-1, -1], [1/2, 1/2], [3, 3]]]],
[[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 = u^2-v^2+2, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [1, 1], [569265/1048576, 284633/524288], [0, 0]]]],
[[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [3, 3], [-10006449/2097152, -10006449/
2097152], [494331/262144, 494331/262144], [-4, -4]]]], [[3, 17, 3, 7, 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 < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [494331/
262144, 494331/262144], [-2705483/1048576, -5410965/2097152]]]], [[3, 17, 3, 7
, 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 < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10006449/
2097152, -10006449/2097152], [494331/262144, 494331/262144], [-1/4194304, -1/
4194304]]]], [[3, 17, 3, 7, 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 < u^2-v^2+x+1), z = (y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10006449/
2097152, -10006449/2097152], [494331/262144, 494331/262144], [1352741/524288,
2705483/1048576]]]], [[3, 17, 3, 7, 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 < u^2-v^2+x+1), (y-x)^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10006449/
2097152, -10006449/2097152], [494331/262144, 494331/262144], [4, 4]]]], [[4, 1
, 6, 1, 1], [v = -1, u < -3^(1/2), x = 0, y < -u^2+2, z = z], [regular_chain,
[[-1, -1], [-3, -3], [0, 0], [-8, -8], [0, 0]]]], [[4, 7, 7, 5, 1], [v = -1, 
And(-1 < u,u < 0), And(-u^2 < x,x < 0), And(0 < y,y < u^2+x), z < -(y-x)^(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(
0 < y,y < u^2+x), z = -(y-x)^(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(0 < y,y < u^2+x), 
And(-(y-x)^(1/2) < z,z < (y-x)^(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(0 < y,y < u^2+x), z = (y-x)^(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(0 < y,y < u^2+x), (y-x)^(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 < x, z = z], [regular_chain,
[[-1, -1], [1/2, 1/2], [-11/8, -11/8], [-3, -3], [0, 0]]]], [[4, 13, 7, 4, 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, 9, 1], [v = -1, u = 3^(1/2), 1
< x, x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 
1816187/1048576], [2, 2], [6, 6], [-3, -3]]]], [[4, 14, 9, 9, 2], [v = -1, u =
3^(1/2), 1 < x, x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [908093
/524288, 1816187/1048576], [2, 2], [6, 6], [-2, -2]]]], [[4, 14, 9, 9, 3], [v
= -1, u = 3^(1/2), 1 < x, x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [2, 2], [6, 6], [0
, 0]]]], [[4, 14, 9, 9, 4], [v = -1, u = 3^(1/2), 1 < x, x+3 < y, z = (y-x)^(1
/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [2, 2], [6,
6], [2, 2]]]], [[4, 14, 9, 9, 5], [v = -1, u = 3^(1/2), 1 < x, x+3 < y, (y-x)^
(1/2) < z], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [2, 2
], [6, 6], [3, 3]]]], [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)
], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-\
1248837/4194304, -1248837/4194304], [312209/1048576, 156105/524288], [-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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain
, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1248837/4194304, -\
1248837/4194304], [312209/1048576, 156105/524288], [-1618333/2097152, -3236665
/4194304]]]], [[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 = x-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], [-1248837/4194304, -1248837/4194304], [312209/1048576, 
156105/524288], [-1/8388608, -1/8388608]]]], [[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 = x-u^2+v^2+1,
z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-1248837/4194304, -1248837/4194304], [312209/1048576, 
156105/524288], [404583/524288, 809167/1048576]]]], [[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 = x-u^2
+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-1248837/4194304, -1248837/4194304], [312209/
1048576, 156105/524288], [2, 2]]]], [[5, 7, 4, 7, 1], [And(-1 < v,v < 0), And(
v < u,u < -v), x = -1, And(0 < y,y < -u^2+v^2), z < -(y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [1/8, 1/8], [-3, -3]]]], [[5,
7, 4, 7, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x = -1, And(0 < y,y < -u^2
+v^2), z = -(y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [1/
8, 1/8], [-1112183/1048576, -556091/524288]]]], [[5, 7, 4, 7, 3], [And(-1 < v,
v < 0), And(v < u,u < -v), x = -1, And(0 < y,y < -u^2+v^2), And(-(y+1)^(1/2) <
z,z < (y+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [1/8, 1/
8], [0, 0]]]], [[5, 7, 4, 7, 4], [And(-1 < v,v < 0), And(v < u,u < -v), x = -1
, And(0 < y,y < -u^2+v^2), z = (y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0
, 0], [-1, -1], [1/8, 1/8], [556091/524288, 1112183/1048576]]]], [[5, 7, 4, 7,
5], [And(-1 < v,v < 0), And(v < u,u < -v), x = -1, And(0 < y,y < -u^2+v^2), (y
+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [1/8, 1/8], [
3, 3]]]], [[5, 8, 6, 7, 1], [And(-1 < v,v < 0), u = -v, x = 1, 2 < y, z < -(y-\
1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1, 1], [3, 3], [-3, -3]
]]], [[5, 8, 6, 7, 2], [And(-1 < v,v < 0), u = -v, x = 1, 2 < y, 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, 7, 3], [And(-1 < v,v < 0), u = -v, x =
1, 2 < y, 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, 7, 4], [And(-1 < v,v < 0)
, u = -v, x = 1, 2 < y, 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, 7, 5], [
And(-1 < v,v < 0), u = -v, x = 1, 2 < y, (y-1)^(1/2) < z], [regular_chain, [[-\
1/2, -1/2], [1/2, 1/2], [1, 1], [3, 3], [3, 3]]]], [[5, 10, 3, 2, 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, 2, 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, 2, 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, 4, 1], [v = 0, u = -2^(1/2), 1
< x, y = x-1, z = z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/
524288], [2, 2], [1, 1], [0, 0]]]], [[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 < 0, z = z], [
regular_chain, [[0, 0], [1, 1], [2, 2], [-1, -1], [0, 0]]]], [[6, 10, 2, 6, 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, 6
, 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, 6, 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, 6
, 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, 6, 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, 9, 3, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), 1 < x,
And(0 < y,y < x), z = z], [regular_chain, [[1/2, 1/2], [-146543/131072, -\
1172343/1048576], [2, 2], [1, 1], [0, 0]]]], [[7, 6, 3, 5, 1], [And(0 < v,v <
1), u = -v, And(-1 < x,x < 0), And(0 < y,y < x+1), z < -(y-x)^(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+1), z = -(y-x)^(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, 5, 3], [
And(0 < v,v < 1), u = -v, And(-1 < x,x < 0), And(0 < y,y < x+1), And(-(y-x)^(1
/2) < z,z < (y-x)^(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, 5, 4], [And(0 < v,v
< 1), u = -v, And(-1 < x,x < 0), And(0 < y,y < x+1), z = (y-x)^(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, 5, 5], [And(0 < v,v < 1), u = -v, And(-\
1 < x,x < 0), And(0 < y,y < x+1), (y-x)^(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 = x-u^2+v^2+1, z
= z], [regular_chain, [[1/2, 1/2], [3, 3], [35/8, 35/8], [-27/8, -27/8], [0, 0
]]]], [[8, 1, 11, 3, 1], [v = 1, u < -3^(1/2), u^2-2 < x, And(0 < y,y < x-u^2+
2), z = z], [regular_chain, [[1, 1], [-3, -3], [8, 8], [1/2, 1/2], [0, 0]]]],
[[8, 8, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 3, 1], [v = 1, And(0 < u,u < 1), x = 0, And(0 < y,y < u^2), z < -y^(1/
2)], [regular_chain, [[1, 1], [1/2, 1/2], [0, 0], [1/8, 1/8], [-2, -2]]]], [[8
, 9, 8, 3, 2], [v = 1, And(0 < u,u < 1), x = 0, And(0 < y,y < u^2), 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, 3, 3], [v = 1, And(0 < u,u < 1), x = 0, And(0
< y,y < u^2), 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, 3, 4], [v = 1, And(0 < u,u < 1)
, x = 0, And(0 < y,y < u^2), 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, 3, 5], [v
= 1, And(0 < u,u < 1), x = 0, And(0 < y,y < u^2), y^(1/2) < z], [regular_chain
, [[1, 1], [1/2, 1/2], [0, 0], [1/8, 1/8], [2, 2]]]], [[8, 14, 1, 8, 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, 8,
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, 8, 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, 8, 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, 8, 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, 9, 1], [v = 1, 3^(1/2) < u, And(-1 < x,x <
0), u^2+x < y, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [3, 3], [-1/2, -1/2
], [10, 10], [-5, -5]]]], [[8, 15, 5, 9, 2], [v = 1, 3^(1/2) < u, And(-1 < x,x
< 0), u^2+x < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [3, 3], [-1/2, -1
/2], [10, 10], [-3397775/1048576, -1698887/524288]]]], [[8, 15, 5, 9, 3], [v =
1, 3^(1/2) < u, And(-1 < x,x < 0), u^2+x < y, And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[1, 1], [3, 3], [-1/2, -1/2], [10, 10], [0, 0]]]], [[
8, 15, 5, 9, 4], [v = 1, 3^(1/2) < u, And(-1 < x,x < 0), u^2+x < y, z = (y-x)^
(1/2)], [regular_chain, [[1, 1], [3, 3], [-1/2, -1/2], [10, 10], [1698887/
524288, 3397775/1048576]]]], [[8, 15, 5, 9, 5], [v = 1, 3^(1/2) < u, And(-1 <
x,x < 0), u^2+x < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [3, 3], [-1/2,
-1/2], [10, 10], [5, 5]]]], [[9, 6, 2, 5, 1], [And(1 < v,v < 2^(1/2)), u = -v,
x = -1, 0 < y, z < -(y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [1, 1], [-3, -3]]]],
[[9, 6, 2, 5, 2], [And(1 < v,v < 2^(1/2)), u = -v, x = -1, 0 < y, z = -(y+1)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576,
-1265743/1048576], [-1, -1], [1, 1], [-1482911/1048576, -741455/524288]]]], [[
9, 6, 2, 5, 3], [And(1 < v,v < 2^(1/2)), u = -v, x = -1, 0 < y, And(-(y+1)^(1/
2) < z,z < (y+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-1265743/1048576, -1265743/1048576], [-1, -1], [1, 1], [0, 0]]]], [[9, 6, 2,
5, 4], [And(1 < v,v < 2^(1/2)), u = -v, x = -1, 0 < y, z = (y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [1, 1], [741455/524288, 1482911/1048576]]]], [[9,
6, 2, 5, 5], [And(1 < v,v < 2^(1/2)), u = -v, x = -1, 0 < y, (y+1)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [1, 1], [3, 3]]]], [[9, 7, 10, 2, 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, 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 =
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [-3
, -3], [0, 0]]]], [[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 < x+2), z < -(y-x)^(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, 5, 2], [And(1 < v,v < 2^(1/2)), u = (v^
2-1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z = -(y-x)^(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, 5, 3], [And(1 < v,v
< 2^(1/2)), u = (v^2-1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), And(-(y-x
)^(1/2) < z,z < (y-x)^(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, 5, 4], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(0 < x,x < 1
), And(x < y,y < x+2), z = (y-x)^(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, 5, 5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(0 <
x,x < 1), And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/2], [3/2,
3/2], [2, 2]]]], [[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 < x-u^2+v^2+1, z = z], [regular_chain, [[1265743/1048576,
1265743/1048576], [3, 3], [-10, -10], [-18, -18], [0, 0]]]], [[10, 1, 3, 2, 1]
, [v = 2^(1/2), u < -2, And(-u^2+1 < x,x < -1), y = x-u^2+3, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9/2, -9/2], [-21
/2, -21/2], [0, 0]]]], [[10, 5, 4, 2, 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, 2, 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, 2, 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, 6, 7, 6, 1], [v = 2^(1/2), u = -v, 1 < x, y = x+1, z < -1], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [2, 2], [3, 3], [-2, -2]]]], [[10, 6, 7, 6, 2], [v = 2^(1/2), u = -v,
1 < x, y = x+1, z = -1], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1482911/1048576, -741455/524288], [2, 2], [3, 3], [-1, -1]]]], [[10, 6, 7, 6,
3], [v = 2^(1/2), u = -v, 1 < x, y = x+1, And(-1 < z,z < 1)], [regular_chain,
[[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [2, 2],
[3, 3], [0, 0]]]], [[10, 6, 7, 6, 4], [v = 2^(1/2), u = -v, 1 < x, y = x+1, z
= 1], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -\
741455/524288], [2, 2], [3, 3], [1, 1]]]], [[10, 6, 7, 6, 5], [v = 2^(1/2), u
= -v, 1 < x, y = x+1, 1 < z], [regular_chain, [[741455/524288, 1482911/1048576
], [-1482911/1048576, -741455/524288], [2, 2], [3, 3], [2, 2]]]], [[10, 13, 1,
2, 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, 2, 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, 2, 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]]]], [[10, 14, 3, 7, 1], [v = 2^(1
/2), u = v, And(-1 < x,x < 0), x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-1/2, -1/2
], [2, 2], [-3, -3]]]], [[10, 14, 3, 7, 2], [v = 2^(1/2), u = v, And(-1 < x,x
< 0), x+1 < y, z = -(y-x)^(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, 7, 3], [v = 2^(1/2), u = v, And(-1 <
x,x < 0), x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-1/2, -1/2
], [2, 2], [0, 0]]]], [[10, 14, 3, 7, 4], [v = 2^(1/2), u = v, And(-1 < x,x <
0), x+1 < y, z = (y-x)^(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, 7, 5], [v = 2^(1/2), u = v, And(-1 <
x,x < 0), x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [741455/524288, 1482911/1048576], [-1/2, -1/2], [2, 2], [3, 3]]]], [
[11, 2, 4, 1, 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], [-3, -3
], [0, 0]]]], [[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 = 0, z = z], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [129511/262144, 518045/1048576], [0, 0], [0, 0]]]]
, [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [
-22960369/8388608, -22960369/8388608], [2, 2], [4727339/1048576, 1181835/
262144], [-3, -3]]]], [[11, 9, 11, 8, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u
,u < -(v^2-2)^(1/2)), 1 < x, y = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [2, 2], [
4727339/1048576, 1181835/262144], [-3321417/2097152, -415177/262144]]]], [[11,
9, 11, 8, 3], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x,
y = x-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], [2, 2], [
4727339/1048576, 1181835/262144], [0, 0]]]], [[11, 9, 11, 8, 4], [2^(1/2) < v,
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, y = x-u^2+v^2+1, z = (-u^2+
v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608]
, [2, 2], [4727339/1048576, 1181835/262144], [415177/262144, 1660709/1048576]]
]], [[11, 9, 11, 8, 5], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2
)), 1 < x, y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3],
[-22960369/8388608, -22960369/8388608], [2, 2], [4727339/1048576, 1181835/
262144], [3, 3]]]], [[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 < -(y+1)^(1/2)], [regular_chain, [[3
, 3], [0, 0], [-1, -1], [10, 10], [-5, -5]]]], [[11, 11, 4, 9, 2], [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 = -(y+1)
^(1/2)], [regular_chain, [[3, 3], [0, 0], [-1, -1], [10, 10], [-1738867/524288
, -3477733/1048576]]]], [[11, 11, 4, 9, 3], [2^(1/2) < v, And(-(v^2-2)^(1/2) <
u,u < (v^2-2)^(1/2)), x = -1, -u^2+v^2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/
2))], [regular_chain, [[3, 3], [0, 0], [-1, -1], [10, 10], [0, 0]]]], [[11, 11
, 4, 9, 4], [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 = (y+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-1, -1], [10,
10], [3477733/1048576, 1738867/524288]]]], [[11, 11, 4, 9, 5], [2^(1/2) < v, 
And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1, -u^2+v^2 < y, (y+1)^(1/2) <
z], [regular_chain, [[3, 3], [0, 0], [-1, -1], [10, 10], [5, 5]]]], [[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 = -u^2
+v^2-1, z < 0], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [
-129143/262144, -516571/1048576], [-129143/262144, -516571/1048576], [-1, -1]]
]], [[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 = -u^2+v^2-1, z = 0], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [-129143/262144, -516571/1048576], [-129143/262144, -516571/
1048576], [0, 0]]]], [[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 = -u^2+v^2-1, 0 < z], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-129143/262144, -516571/1048576], [-129143
/262144, -516571/1048576], [1, 1]]]], [[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 < x, z = z], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-2614535/2097152, -\
2614535/2097152], [-3, -3], [0, 0]]]], [[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 < -y^(1/2)], [regular_chain,
[[-3, -3], [-5, -5], [0, 0], [17/2, 17/2], [-4, -4]]]], [[1, 1, 6, 5, 2], [v <
-2^(1/2), u < -(v^2+2)^(1/2), x = 0, And(0 < y,y < u^2-v^2+1), z = -y^(1/2)],
[regular_chain, [[-3, -3], [-5, -5], [0, 0], [17/2, 17/2], [-24456785/8388608,
-1528549/524288]]]], [[1, 1, 6, 5, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), x =
0, And(0 < y,y < u^2-v^2+1), 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, 5, 4], [v < -2
^(1/2), u < -(v^2+2)^(1/2), x = 0, And(0 < y,y < u^2-v^2+1), z = y^(1/2)], [
regular_chain, [[-3, -3], [-5, -5], [0, 0], [17/2, 17/2], [1528549/524288, 
3057099/1048576]]]], [[1, 1, 6, 5, 5], [v < -2^(1/2), u < -(v^2+2)^(1/2), x =
0, And(0 < y,y < u^2-v^2+1), y^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5]
, [0, 0], [17/2, 17/2], [4, 4]]]], [[1, 2, 9, 3, 1], [v < -2^(1/2), u = -(v^2+
2)^(1/2), 1 < x, And(0 < y,y < x-1), z = z], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [2, 2], [1/2, 1/2], [0, 0]]]], [[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(0 < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[
-3, -3], [-22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/
4194304], [790805/2097152, 790805/2097152], [-3, -3]]]], [[1, 9, 3, 7, 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-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3],
[-22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304],
[790805/2097152, 790805/2097152], [-765399/524288, -1530797/1048576]]]], [[1,
9, 3, 7, 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-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x
)^(1/2))], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608],
[-7357527/4194304, -7357527/4194304], [790805/2097152, 790805/2097152], [0, 0]
]]], [[1, 9, 3, 7, 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-u^2+v^2+1), z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-7357527/
4194304, -7357527/4194304], [790805/2097152, 790805/2097152], [1530797/1048576
, 765399/524288]]]], [[1, 9, 3, 7, 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-u^2+v^2+1), (y-x
)^(1/2) < z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608
], [-7357527/4194304, -7357527/4194304], [790805/2097152, 790805/2097152], [3,
3]]]], [[1, 10, 6, 1, 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],
[-2, -2], [0, 0]]]], [[1, 14, 5, 7, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), And(
-1 < x,x < 0), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [-1/2, -1/2], [3, 3], [-3, -3]]]], [[1, 14, 5, 7, 2]
, [v < -2^(1/2), u = (v^2-1)^(1/2), And(-1 < x,x < 0), x+2 < y, z = -(y-x)^(1/
2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1/2, -1/2]
, [3, 3], [-7846825/4194304, -980853/524288]]]], [[1, 14, 5, 7, 3], [v < -2^(1
/2), u = (v^2-1)^(1/2), And(-1 < x,x < 0), x+2 < y, And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1
/2, -1/2], [3, 3], [0, 0]]]], [[1, 14, 5, 7, 4], [v < -2^(1/2), u = (v^2-1)^(1
/2), And(-1 < x,x < 0), x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3],
[741455/262144, 2965821/1048576], [-1/2, -1/2], [3, 3], [980853/524288, 
1961707/1048576]]]], [[1, 14, 5, 7, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), And(
-1 < x,x < 0), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [-1/2, -1/2], [3, 3], [3, 3]]]], [[1, 15, 11, 4, 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, 4, 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, 4, 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, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 4, 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, 4, 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, 4, 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, 9, 8, 6, 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,
6, 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, 6,
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, 6, 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,
6, 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, 2, 2, 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,
5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 8, 2, 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, 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 < -y^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [0, 0], [4, 4], [-3, -3]]]], [[3, 3, 6, 7, 2], [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 = -y^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [0, 0], [4, 4], [-2, -2]]]], [[3, 3, 6,
7, 3], [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, 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, 7, 4], [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 = y^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [0, 0], [4, 4], [2, 2]]]], [[3, 3, 6, 7, 5], [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,
y^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [0, 0], [4, 4], [3, 3]]]], [[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(-u^2+v^2-1 < 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], [-20154283/16777216, -\
20154283/16777216], [-2, -2]]]], [[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(-u^2+v^2-1 < 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], [-20154283/16777216, -20154283/16777216], [-1082093/2097152, -270523/
524288]]]], [[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(-u^2+v^2-1 < 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], [-20154283/16777216, -20154283/16777216], [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(-u^2+v^2-1 < 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], [-20154283/16777216, -\
20154283/16777216], [270523/524288, 541047/1048576]]]], [[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(-u^2
+v^2-1 < 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], [-20154283/16777216, -20154283/16777216], [2
, 2]]]], [[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(0 < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [-374737/524288, -374737/524288], [448653/1048576, 448653/
1048576], [-3, -3]]]], [[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(0 < y,y < x-u^2+v^2+1),
z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-374737/524288, -374737/524288], [448653/
1048576, 448653/1048576], [-1120861/1048576, -280215/262144]]]], [[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(0 < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [-374737/524288, -374737/524288], [448653/1048576, 448653/
1048576], [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(0 < y,y < x-u^2+v^2+1), z
= (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341
/1048576, 987341/1048576], [-374737/524288, -374737/524288], [448653/1048576,
448653/1048576], [280215/262144, 1120861/1048576]]]], [[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(0 < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288,
-374737/524288], [448653/1048576, 448653/1048576], [3, 3]]]], [[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 < x, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [1454701/1048576, 1454701/1048576], [-2587387/2097152, -2587387/2097152], [
-3, -3], [0, 0]]]], [[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 < -(y+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-1, -1]
, [-1/2, -1/2], [-2, -2]]]], [[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 = -(y+1)^(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, 3, 3], [
And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), And(-(
y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(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, 3, 5], [And(-2^(1/2) < v,v < -1), u = (v
^2+1)^(1/2), x = -1, And(-1 < y,y < 0), (y+1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-1, -1]
, [-1/2, -1/2], [2, 2]]]], [[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 = 0, z = z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [1, 1], [
0, 0], [0, 0]]]], [[4, 4, 4, 5, 1], [v = -1, u = -2^(1/2), x = -1, And(0 < y,y
< 1), z < -(y+1)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455
/524288], [-1, -1], [1/2, 1/2], [-3, -3]]]], [[4, 4, 4, 5, 2], [v = -1, u = -2
^(1/2), x = -1, And(0 < y,y < 1), z = -(y+1)^(1/2)], [regular_chain, [[-1, -1]
, [-1482911/1048576, -741455/524288], [-1, -1], [1/2, 1/2], [-1284239/1048576,
-642119/524288]]]], [[4, 4, 4, 5, 3], [v = -1, u = -2^(1/2), x = -1, And(0 < y
,y < 1), And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-1, -1], [1/2,
1/2], [642119/524288, 1284239/1048576]]]], [[4, 4, 4, 5, 5], [v = -1, u = -2^(
1/2), x = -1, And(0 < y,y < 1), (y+1)^(1/2) < z], [regular_chain, [[-1, -1], [
-1482911/1048576, -741455/524288], [-1, -1], [1/2, 1/2], [3, 3]]]], [[4, 5, 10
, 4, 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, 4, 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, 4, 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, 4, 4, 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, 4, 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, 4,
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, 4, 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, 4, 5], [v = -1, u = 1, x = 0, y = 1, 1 < z], [regular_chain, [[-1,
-1], [1, 1], [0, 0], [1, 1], [2, 2]]]], [[4, 11, 11, 8, 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], [1812519/524288, 3625039/1048576], [-3, -3]
]]], [[4, 11, 11, 8, 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],
[1812519/524288, 3625039/1048576], [-1265743/1048576, -1265743/1048576]]]], [[
4, 11, 11, 8, 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], [1812519/524288, 3625039/1048576], [0, 0]]]], [[4, 11, 11, 8, 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], [1812519/524288, 3625039/1048576],
[1265743/1048576, 1265743/1048576]]]], [[4, 11, 11, 8, 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], [1812519/524288, 3625039/1048576], [3, 3]]]
], [[5, 2, 7, 5, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(0 < x,x < 1),
And(0 < y,y < x), 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 < x, z = z], [regular_chain, [[-1/2, -1/2], [-146543/131072,
-1172343/1048576], [-3, -3], [-4, -4], [0, 0]]]], [[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(0 < y,y < x-u^2+v^2+1), z = z], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [1534619/2097152, 1534619/2097152], [281267/2097152, 
281267/2097152], [0, 0]]]], [[5, 13, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = 0, And(-1 < u,u < 0), And(0 < x,x < 1), And(x < y,y < x-u
^2+1), z < -(y-x)^(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(x < y,y < x-u^2+1), z = -(y-x)^(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(x < y,y < x-
u^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < x-u^2+1), z = (y-x)^(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(x < y,y < x-u^2+1), (y-x)^(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 = 0, z = z], [regular_chain, [[0, 0], [3, 3], [
1/2, 1/2], [0, 0], [0, 0]]]], [[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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2
)], [regular_chain, [[1/2, 1/2], [-3, -3], [35/8, 35/8], [37/4, 37/4], [-4, -4
]]]], [[7, 1, 9, 7, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(1 < x,x < u
^2-v^2-1), And(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 7, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(1 <
x,x < u^2-v^2-1), And(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [35/8, 35/8], [37/4, 37/4], [0,
0]]]], [[7, 1, 9, 7, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(1 < x,x <
u^2-v^2-1), And(x < y,y < u^2-v^2+x+1), z = (y-x)^(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, 7, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(1 < x
,x < u^2-v^2-1), And(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain,
[[1/2, 1/2], [-3, -3], [35/8, 35/8], [37/4, 37/4], [4, 4]]]], [[7, 7, 11, 2, 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, 9, 8, 3, 1], [And(0 < v,v
< 1), And(v < u,u < (v^2+1)^(1/2)), x = 0, And(0 < y,y < -u^2+v^2+1), z < -y^(
1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [0, 0]
, [312209/1048576, 312209/1048576], [-2, -2]]]], [[7, 9, 8, 3, 2], [And(0 < v,
v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 0, And(0 < y,y < -u^2+v^2+1), z = -y
^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [0,
0], [312209/1048576, 312209/1048576], [-572167/1048576, -1144333/2097152]]]],
[[7, 9, 8, 3, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 0, And(
0 < 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], [312209/1048576, 312209/
1048576], [-1/4194304, -1/4194304]]]], [[7, 9, 8, 3, 4], [And(0 < v,v < 1), 
And(v < u,u < (v^2+1)^(1/2)), x = 0, And(0 < y,y < -u^2+v^2+1), z = y^(1/2)],
[regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [0, 0], [
312209/1048576, 312209/1048576], [286083/524288, 572167/1048576]]]], [[7, 9, 8
, 3, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 0, And(0 < y,y <
-u^2+v^2+1), y^(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [0, 0], [312209/1048576, 312209/1048576], [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 < -2*u^2+2*v^2, z = z], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [-2583195/1048576, -1291597/524288], [-4, -4], [0, 0]]
]], [[7, 12, 4, 2, 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, 5, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = -u^2, And(-2*u^2+2 < y
,y < 0), z < -(u^2+y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [-1527887/1048576, -763943/524288], [-7668971/16777216, -\
7668971/16777216], [-3, -3]]]], [[8, 5, 2, 5, 2], [v = 1, And(-2^(1/2) < u,u <
-1), x = -u^2, And(-2*u^2+2 < y,y < 0), z = -(u^2+y)^(1/2)], [regular_chain, [
[1, 1], [-1265743/1048576, -1265743/1048576], [-1527887/1048576, -763943/
524288], [-7668971/16777216, -7668971/16777216], [-1048577/1048576, -1]]]], [[
8, 5, 2, 5, 3], [v = 1, And(-2^(1/2) < 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], [-\
1265743/1048576, -1265743/1048576], [-1527887/1048576, -763943/524288], [-\
7668971/16777216, -7668971/16777216], [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 < 0), z = (u^2+y)^(1/2)],
[regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1527887/
1048576, -763943/524288], [-7668971/16777216, -7668971/16777216], [1, 1048577/
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 < 0), (u^2+y)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-1527887/1048576, -763943/524288], [-7668971/
16777216, -7668971/16777216], [3, 3]]]], [[8, 6, 5, 7, 1], [v = 1, u = -1, And
(0 < x,x < 1), x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1, -1],
[1/2, 1/2], [3, 3], [-3, -3]]]], [[8, 6, 5, 7, 2], [v = 1, u = -1, And(0 < x,x
< 1), x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [1/2, 1/2
], [3, 3], [-3315889/2097152, -207243/131072]]]], [[8, 6, 5, 7, 3], [v = 1, u
= -1, And(0 < x,x < 1), x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [-1, -1], [1/2, 1/2], [3, 3], [0, 0]]]], [[8, 6, 5, 7,
4], [v = 1, u = -1, And(0 < x,x < 1), x+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[1, 1], [-1, -1], [1/2, 1/2], [3, 3], [207243/131072, 1657945/
1048576]]]], [[8, 6, 5, 7, 5], [v = 1, u = -1, And(0 < x,x < 1), x+1 < y, (y-x
)^(1/2) < z], [regular_chain, [[1, 1], [-1, -1], [1/2, 1/2], [3, 3], [3, 3]]]]
, [[8, 11, 3, 9, 1], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), u^2
+x < y, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-1288231/1048576, -1288231/1048576], [2, 2], [-3, -3]]]], [[8, 11,
3, 9, 2], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), u^2+x < y, z =
-(y-x)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-\
1288231/1048576, -1288231/1048576], [2, 2], [-7536399/4194304, -3768199/
2097152]]]], [[8, 11, 3, 9, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x
< -1), u^2+x < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1,
1], [1265743/1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576],
[2, 2], [-1/4194304, -1/4194304]]]], [[8, 11, 3, 9, 4], [v = 1, And(1 < u,u <
2^(1/2)), And(-u^2 < x,x < -1), u^2+x < y, z = (y-x)^(1/2)], [regular_chain, [
[1, 1], [1265743/1048576, 1265743/1048576], [-1288231/1048576, -1288231/
1048576], [2, 2], [1884099/1048576, 471025/262144]]]], [[8, 11, 3, 9, 5], [v =
1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), u^2+x < y, (y-x)^(1/2) < z],
[regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1288231/1048576
, -1288231/1048576], [2, 2], [3, 3]]]], [[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 = -1, z < 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [-1, -1], [-1, -1]
]]], [[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 = -1, z = 0], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [-1, -1],
[0, 0]]]], [[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 = -1, 0 < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [-1, -1],
[1, 1]]]], [[9, 4, 8, 1, 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], [-1, -1], [0, 0]]]], [[9, 12, 2, 2,
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, 2, 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,
2, 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, 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 = 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], [2063099/1048576, 515775/262144], [-3, -3]]]], [
[9, 13, 9, 8, 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], [2063099/1048576, 515775/262144], [-1270261/1048576, -317565/262144]]]],
[[9, 13, 9, 8, 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], [2063099/1048576, 515775/262144], [0, 0]]]], [[9
, 13, 9, 8, 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], [
2063099/1048576, 515775/262144], [317565/262144, 1270261/1048576]]]], [[9, 13,
9, 8, 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], [2063099/
1048576, 515775/262144], [3, 3]]]], [[10, 2, 5, 9, 1], [v = 2^(1/2), u = -2, 
And(-1 < x,x < 0), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [-2, -2], [-1/2, -1/2], [4, 4], [-4, -4]]]], [[10, 2, 5, 9
, 2], [v = 2^(1/2), u = -2, And(-1 < x,x < 0), x+3 < y, z = -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1/2, -1/2], [4,
4], [-1112183/524288, -2224365/1048576]]]], [[10, 2, 5, 9, 3], [v = 2^(1/2), u
= -2, And(-1 < x,x < 0), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1/2, -1/2], [4,
4], [0, 0]]]], [[10, 2, 5, 9, 4], [v = 2^(1/2), u = -2, And(-1 < x,x < 0), x+3
< y, z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2,
-2], [-1/2, -1/2], [4, 4], [2224365/1048576, 1112183/524288]]]], [[10, 2, 5, 9
, 5], [v = 2^(1/2), u = -2, And(-1 < x,x < 0), x+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1/2, -1/2], [4,
4], [4, 4]]]], [[10, 3, 10, 3, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x =
1, And(0 < y,y < -u^2+4), z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-3913339/2097152, -3913339/2097152], [1, 1], [135777/524288, 135777
/524288], [0, 0]]]], [[10, 8, 4, 5, 1], [v = 2^(1/2), u = -1, x = -1, And(0 <
y,y < 1), z < -(y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [-1, -1], [-1, -1], [1/2, 1/2], [-3, -3]]]], [[10, 8, 4, 5, 2], [v = 2^(1/2)
, u = -1, x = -1, And(0 < y,y < 1), z = -(y+1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1, -1], [-1, -1], [1/2, 1/2], [-1284239/
1048576, -642119/524288]]]], [[10, 8, 4, 5, 3], [v = 2^(1/2), u = -1, x = -1,
And(0 < y,y < 1), And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1, -1], [1
/2, 1/2], [642119/524288, 1284239/1048576]]]], [[10, 8, 4, 5, 5], [v = 2^(1/2)
, u = -1, x = -1, And(0 < y,y < 1), (y+1)^(1/2) < z], [regular_chain, [[741455
/524288, 1482911/1048576], [-1, -1], [-1, -1], [1/2, 1/2], [3, 3]]]], [[10, 9,
9, 9, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), x-u^2+3 < y,
z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -\
1/2], [7/8, 7/8], [5, 5], [-4, -4]]]], [[10, 9, 9, 9, 2], [v = 2^(1/2), And(-1
< u,u < 0), And(-u^2+1 < x,x < 1), x-u^2+3 < y, z = -(y-x)^(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, 9, 3], [v = 2^(1/2),
And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), x-u^2+3 < y, And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/
2], [7/8, 7/8], [5, 5], [0, 0]]]], [[10, 9, 9, 9, 4], [v = 2^(1/2), And(-1 < u
,u < 0), And(-u^2+1 < x,x < 1), x-u^2+3 < y, z = (y-x)^(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, 9, 5], [v = 2^(1/2), And(-1 < u,u < 0)
, And(-u^2+1 < x,x < 1), x-u^2+3 < y, (y-x)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1/2, -1/2], [7/8, 7/8], [5, 5], [4, 4]]]],
[[10, 15, 11, 8, 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], [3643533/1048576, 1821767/524288],
[-3, -3]]]], [[10, 15, 11, 8, 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], [3643533/1048576, 
1821767/524288], [-1273381/1048576, -318345/262144]]]], [[10, 15, 11, 8, 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], [3643533/1048576, 1821767/524288],
[0, 0]]]], [[10, 15, 11, 8, 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], [3643533/1048576, 
1821767/524288], [318345/262144, 1273381/1048576]]]], [[10, 15, 11, 8, 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], [3643533/1048576, 1821767/524288], [3, 3]]]], [[10, 17, 6, 7
, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = 0, u^2-1 < y, z < -y^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [0, 0], [4, 4], [-3, -3]]]], [[10, 17, 6, 7, 2], [v = 2^(1/2), And(3
^(1/2) < u,u < 2), x = 0, u^2-1 < y, z = -y^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [0, 0], [4, 4],
[-2, -2]]]], [[10, 17, 6, 7, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = 0,
u^2-1 < y, 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, 7, 4], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = 0, u^2-1 < y,
z = y^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [0, 0], [4, 4], [2, 2]]]], [[10, 17, 6, 7, 5], [v =
2^(1/2), And(3^(1/2) < u,u < 2), x = 0, u^2-1 < y, y^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [0, 0], [4, 4], [3, 3]]]], [[10, 18, 7, 9, 1], [v = 2^(1/2), u = 2,
And(0 < x,x < 1), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [2, 2], [1/2, 1/2], [5, 5], [-4, -4]]]], [[10, 18, 7, 9, 2],
[v = 2^(1/2), u = 2, And(0 < x,x < 1), x+3 < y, z = -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [1/2, 1/2], [5, 5],
[-1112183/524288, -2224365/1048576]]]], [[10, 18, 7, 9, 3], [v = 2^(1/2), u =
2, And(0 < x,x < 1), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [1/2, 1/2], [5, 5],
[0, 0]]]], [[10, 18, 7, 9, 4], [v = 2^(1/2), u = 2, And(0 < x,x < 1), x+3 < y,
z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [
1/2, 1/2], [5, 5], [2224365/1048576, 1112183/524288]]]], [[10, 18, 7, 9, 5], [
v = 2^(1/2), u = 2, And(0 < x,x < 1), x+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [1/2, 1/2], [5, 5],
[4, 4]]]], [[11, 1, 1, 1, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), x < -u^2+v^2-1
, y < x-u^2+v^2+1, z = z], [regular_chain, [[3, 3], [-5, -5], [-18, -18], [-34
, -34], [0, 0]]]], [[11, 7, 2, 7, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1
/2)), x = u^2-v^2-1, 0 < y, z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3]
, [-6111549/2097152, -6111549/2097152], [-3161161/2097152, -395145/262144], [1
, 1], [-3, -3]]]], [[11, 7, 2, 7, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1
/2)), x = u^2-v^2-1, 0 < y, z = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3]
, [-6111549/2097152, -6111549/2097152], [-3161161/2097152, -395145/262144], [1
, 1], [-1660383/1048576, -3320765/2097152]]]], [[11, 7, 2, 7, 3], [2^(1/2) < v
, And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, 0 < y, And(-(y-u^2+v^2+1)^(1/
2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152,
-6111549/2097152], [-3161161/2097152, -395145/262144], [1, 1], [-1/4194304, -1
/4194304]]]], [[11, 7, 2, 7, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
x = u^2-v^2-1, 0 < y, z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-3161161/2097152, -395145/262144], [1, 1]
, [830191/524288, 1660383/1048576]]]], [[11, 7, 2, 7, 5], [2^(1/2) < v, And(-v
< u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, 0 < y, (y-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3161161/
2097152, -395145/262144], [1, 1], [3, 3]]]], [[11, 8, 5, 7, 1], [2^(1/2) < v,
u = -(v^2-1)^(1/2), And(-1 < x,x < 0), x+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [
3, 3], [-3, -3]]]], [[11, 8, 5, 7, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-\
1 < x,x < 0), x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [-1/2, -1/2], [3, 3], [-7846825/4194304, -980853/
524288]]]], [[11, 8, 5, 7, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-1 < x,x
< 0), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3]
, [-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [3, 3], [0, 0]]]], [[11
, 8, 5, 7, 4], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-1 < x,x < 0), x+2 < y, z
= (y-x)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304]
, [-1/2, -1/2], [3, 3], [980853/524288, 1961707/1048576]]]], [[11, 8, 5, 7, 5]
, [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-1 < x,x < 0), x+2 < y, (y-x)^(1/2) <
z], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/
2], [3, 3], [3, 3]]]], [[11, 12, 6, 1, 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], [-2, -2], [0, 0]]]], [[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 = u^2-v^2+2, z = z], [regular_chain, [[3,
3], [1435023/524288, 1435023/524288], [1, 1], [515539/1048576, 128885/262144],
[0, 0]]]], [[11, 20, 3, 1, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-3 < x,x <
-1), y < x-1, z = z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/
524288], [-2, -2], [-4, -4], [0, 0]]]], [[11, 21, 7, 2, 1], [2^(1/2) < v, (v^2
+2)^(1/2) < u, And(0 < x,x < 1), y = x-u^2+v^2+1, z = z], [regular_chain, [[3,
3], [5, 5], [1/2, 1/2], [-29/2, -29/2], [0, 0]]]], [[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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(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(x < y,y < x-u^2+v^2+1), z
= -(y-x)^(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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y <
x-u^2+v^2+1), z = (y-x)^(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(x < y,y < x-u^2+v^2+1), (y-x)^(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 < -2*u^2+2*v^2), z < -(u^2-v^2+y+1)^(1/2)], [regular_chain, [[-3, -3], [0, 0
], [8, 8], [13, 13], [-4, -4]]]], [[1, 11, 10, 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^2-1 < y,y < -2*u^
2+2*v^2), 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, 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
-1 < 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], [0, 0], [8, 8], [13, 13], [0, 0]]]], [[1, 11, 
10, 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^2-1 < y,y < -2*u^2+2*v^2), 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, 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^2-1 < y,y < -2*u^2+2*v^2), (u^2-v^2+y+1)
^(1/2) < z], [regular_chain, [[-3, -3], [0, 0], [8, 8], [13, 13], [4, 4]]]], [
[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 < -1), z = z], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [-1, -1], [-657547/524288, -657547/524288], [0, 0]]]]
, [[1, 17, 8, 6, 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], [1565959/1048576, 195745/131072], [-3, -3]]]], [[1, 17
, 8, 6, 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], [1565959/1048576, 195745/131072], [-1281417/1048576, -160177/
131072]]]], [[1, 17, 8, 6, 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], [1565959/
1048576, 195745/131072], [0, 0]]]], [[1, 17, 8, 6, 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], [1565959/
1048576, 195745/131072], [160177/131072, 1281417/1048576]]]], [[1, 17, 8, 6, 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], [1565959/1048576, 195745/131072], [3, 3]]]], [[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 = z],
[regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1, -1], [-\
1566621/1048576, -391655/262144], [0, 0]]]], [[2, 3, 9, 1, 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], [-1, -1], [0, 0]]]], [[2, 5, 4, 4, 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], [-497807/1048576, -248903/524288], [-2, -2]]]], [[
2, 5, 4, 4, 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], [-497807/1048576, -248903/524288
], [-379975/524288, -1519899/2097152]]]], [[2, 5, 4, 4, 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], [-497807/1048576, -248903/524288], [-1/
4194304, -1/4194304]]]], [[2, 5, 4, 4, 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], [-\
497807/1048576, -248903/524288], [759949/1048576, 379975/524288]]]], [[2, 5, 4
, 4, 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], [-497807/1048576, -248903/524288], [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 = 0, z < -2^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-2, -2], [0, 0]
, [-3, -3]]]], [[2, 8, 2, 4, 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, 4, 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, 4, 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, 4, 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, 1, 1], [v = -2^(1/
2), u = -v, x = -1, y < -1, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [741455/524288, 1482911/1048576], [-1, -1], [-2, -2], [0, 0]]]
], [[2, 15, 10, 2, 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, 7, 1], [v = -2^(1/2)
, 2 < u, x = u^2-3, 2*u^2-4 < y, z < -(y-u^2+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [6, 6], [15, 15], [-4, -4]]]], [[2,
19, 10, 7, 2], [v = -2^(1/2), 2 < u, x = u^2-3, 2*u^2-4 < y, z = -(y-u^2+3)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [6, 6], [15
, 15], [-3, -3]]]], [[2, 19, 10, 7, 3], [v = -2^(1/2), 2 < u, x = u^2-3, 2*u^2
-4 < y, And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+3)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [6, 6], [15, 15], [0, 0]]]], [[2, 19
, 10, 7, 4], [v = -2^(1/2), 2 < u, x = u^2-3, 2*u^2-4 < y, z = (y-u^2+3)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [6, 6], [15, 
15], [3, 3]]]], [[2, 19, 10, 7, 5], [v = -2^(1/2), 2 < u, x = u^2-3, 2*u^2-4 <
y, (y-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[3, 3], [6, 6], [15, 15], [4, 4]]]], [[3, 2, 2, 3, 1], [And(-2^(1/2) < v,v < -\
1), u = -(v^2+2)^(1/2), x = -3, And(-4 < y,y < -3), z = z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-3
, -3], [-7/2, -7/2], [0, 0]]]], [[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(0 < y,y < u^2-v^2+2), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1, 1], [569265/
2097152, 569265/2097152], [0, 0]]]], [[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 = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10006449/
2097152, -10006449/2097152], [0, 0], [-4, -4]]]], [[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 = 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, 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 = 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, 6, 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, 6, 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, 9, 1], [v = -1, u < -3^(1/2), And(-1 < x,x < 0), u^2+x <
y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-1/2, -1/2], [10,
10], [-5, -5]]]], [[4, 1, 5, 9, 2], [v = -1, u < -3^(1/2), And(-1 < x,x < 0),
u^2+x < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-1/2, -1/2
], [10, 10], [-3397775/1048576, -1698887/524288]]]], [[4, 1, 5, 9, 3], [v = -1
, u < -3^(1/2), And(-1 < x,x < 0), u^2+x < y, And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[-1, -1], [-3, -3], [-1/2, -1/2], [10, 10], [0, 0]]]]
, [[4, 1, 5, 9, 4], [v = -1, u < -3^(1/2), And(-1 < x,x < 0), u^2+x < y, z = (
y-x)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-1/2, -1/2], [10, 10], [
1698887/524288, 3397775/1048576]]]], [[4, 1, 5, 9, 5], [v = -1, u < -3^(1/2),
And(-1 < x,x < 0), u^2+x < y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-3
, -3], [-1/2, -1/2], [10, 10], [5, 5]]]], [[4, 7, 7, 6, 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, 6, 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, 6,
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, 6, 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, 6, 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, 3, 2, 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, 2, 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, 2, 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, 7, 3, 1], [v
= -1, And(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), And(x-u^2+2 < y,y <
0), z = z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [
497805/2097152, 497805/2097152], [-248903/2097152, -248903/2097152], [0, 0]]]]
, [[4, 14, 9, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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(x-u^2+v^2+1 < y,y
< u^2-v^2+x+1), z < -(y-x)^(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, 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(x-u^2+v^2+1 < y,y
< u^2-v^2+x+1), z = -(y-x)^(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, 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(x-u^2
+v^2+1 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = (y-x)^(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, 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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), (y-x)^(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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 6, 6, 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, 6, 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, 6, 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, 6, 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
, 6, 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, 3, 1, 1], [And(-1
< v,v < 0), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y < x, z = z], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3/2, -3/2],
[-3, -3], [0, 0]]]], [[6, 2, 9, 5, 1], [v = 0, u = -2^(1/2), 1 < x, And(x-1 <
y,y < 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+2), z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1, -1
], [-3/2, -3/2], [1/4, 1/4], [-3, -3]]]], [[6, 4, 3, 5, 2], [v = 0, u = -1, 
And(-2 < x,x < -1), And(0 < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[0
, 0], [-1, -1], [-3/2, -3/2], [1/4, 1/4], [-10837/8192, -1387135/1048576]]]],
[[6, 4, 3, 5, 3], [v = 0, u = -1, And(-2 < x,x < -1), And(0 < y,y < x+2), And(
-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [-1, -1], [-3/2,
-3/2], [1/4, 1/4], [0, 0]]]], [[6, 4, 3, 5, 4], [v = 0, u = -1, And(-2 < x,x <
-1), And(0 < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [-1, -1],
[-3/2, -3/2], [1/4, 1/4], [1387135/1048576, 10837/8192]]]], [[6, 4, 3, 5, 5],
[v = 0, u = -1, And(-2 < x,x < -1), And(0 < y,y < x+2), (y-x)^(1/2) < z], [
regular_chain, [[0, 0], [-1, -1], [-3/2, -3/2], [1/4, 1/4], [3, 3]]]], [[6, 8,
8, 7, 1], [v = 0, u = 1, x = 1, 3 < y, z < -(y-1)^(1/2)], [regular_chain, [[0,
0], [1, 1], [1, 1], [4, 4], [-3, -3]]]], [[6, 8, 8, 7, 2], [v = 0, u = 1, x =
1, 3 < y, z = -(y-1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [1, 1], [4, 4],
[-1816187/1048576, -3632373/2097152]]]], [[6, 8, 8, 7, 3], [v = 0, u = 1, x =
1, 3 < y, 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, 7, 4], [v = 0, u =
1, x = 1, 3 < y, z = (y-1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [1, 1], [4
, 4], [908093/524288, 1816187/1048576]]]], [[6, 8, 8, 7, 5], [v = 0, u = 1, x
= 1, 3 < y, (y-1)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [1, 1], [4, 4],
[3, 3]]]], [[6, 10, 2, 5, 1], [v = 0, u = 2^(1/2), x = -3, And(-3 < y,y < 0),
z < -(y+3)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576],
[-3, -3], [-3/2, -3/2], [-3, -3]]]], [[6, 10, 2, 5, 2], [v = 0, u = 2^(1/2), x
= -3, And(-3 < y,y < 0), z = -(y+3)^(1/2)], [regular_chain, [[0, 0], [741455/
524288, 1482911/1048576], [-3, -3], [-3/2, -3/2], [-1284239/1048576, -642119/
524288]]]], [[6, 10, 2, 5, 3], [v = 0, u = 2^(1/2), x = -3, And(-3 < y,y < 0),
And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))], [regular_chain, [[0, 0], [741455/
524288, 1482911/1048576], [-3, -3], [-3/2, -3/2], [0, 0]]]], [[6, 10, 2, 5, 4]
, [v = 0, u = 2^(1/2), x = -3, And(-3 < y,y < 0), z = (y+3)^(1/2)], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-3, -3], [-3/2, -3/
2], [642119/524288, 1284239/1048576]]]], [[6, 10, 2, 5, 5], [v = 0, u = 2^(1/2
), x = -3, And(-3 < y,y < 0), (y+3)^(1/2) < z], [regular_chain, [[0, 0], [
741455/524288, 1482911/1048576], [-3, -3], [-3/2, -3/2], [3, 3]]]], [[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+1, 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, 6, 2], [And(0
< v,v < 1), u = -v, And(-1 < x,x < 0), y = x+1, 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, 6, 3],
[And(0 < v,v < 1), u = -v, And(-1 < x,x < 0), y = x+1, 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, 6, 4], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 0), y = x+1, 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, 6, 5], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 0), y = x+1,
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, 3, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(1 < x,x
< u^2-v^2-1), And(x-u^2+v^2+1 < y,y < 0), z = z], [regular_chain, [[1/2, 1/2],
[3, 3], [35/8, 35/8], [-27/16, -27/16], [0, 0]]]], [[8, 1, 11, 4, 1], [v = 1,
u < -3^(1/2), u^2-2 < x, y = x-u^2+2, z = z], [regular_chain, [[1, 1], [-3, -3
], [8, 8], [1, 1], [0, 0]]]], [[8, 8, 2, 3, 1], [v = 1, u = 0, x = -2, And(-2
< y,y < 0), z < -(y+2)^(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(-2 < y,y < 0),
z = -(y+2)^(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(-2 < y,y < 0), And(-(y+2)^
(1/2) < z,z < (y+2)^(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(-2 < y,y < 0), z =
(y+2)^(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(-2 < y,y < 0), (y+2)^(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 = 0, z < 0], [regular_chain, [[1, 1], [
1/2, 1/2], [0, 0], [0, 0], [-1, -1]]]], [[8, 9, 8, 2, 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, 2, 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, 14, 1,
9, 1], [v = 1, u = 3^(1/2), x < -3, 0 < y, z < -(y-x)^(1/2)], [regular_chain,
[[1, 1], [908093/524288, 1816187/1048576], [-4, -4], [1, 1], [-4, -4]]]], [[8,
14, 1, 9, 2], [v = 1, u = 3^(1/2), x < -3, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-4, -4], [1, 1], [-\
146543/65536, -2344687/1048576]]]], [[8, 14, 1, 9, 3], [v = 1, u = 3^(1/2), x
< -3, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1],
[908093/524288, 1816187/1048576], [-4, -4], [1, 1], [0, 0]]]], [[8, 14, 1, 9,
4], [v = 1, u = 3^(1/2), x < -3, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[1,
1], [908093/524288, 1816187/1048576], [-4, -4], [1, 1], [2344687/1048576, 
146543/65536]]]], [[8, 14, 1, 9, 5], [v = 1, u = 3^(1/2), x < -3, 0 < y, (y-x)
^(1/2) < z], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-4, -\
4], [1, 1], [4, 4]]]], [[8, 15, 6, 1, 1], [v = 1, 3^(1/2) < u, x = 0, y < -u^2
+2, z = z], [regular_chain, [[1, 1], [3, 3], [0, 0], [-8, -8], [0, 0]]]], [[9,
6, 2, 4, 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, 4, 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, 4, 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,
4, 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, 4, 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, 1
, 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], [-1, -1], [0, 0]]]], [[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
= z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [
-1527887/1048576, -763943/524288], [0, 0]]]], [[9, 10, 7, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 9, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+
2)^(1/2), 1 < x, x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [121853/65536, 1949649/1048576], [2, 2], [6, 6], [-3, -3]]
]], [[9, 16, 9, 9, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), 1 < x, x+3
< y, z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [2, 2], [6, 6], [-2, -2]]]], [[9, 16, 9, 9, 3]
, [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), 1 < x, x+3 < y, And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [2, 2], [6, 6], [0, 0]]]], [[9, 16, 9, 9, 4],
[And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), 1 < x, x+3 < y, z = (y-x)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [2, 2], [6, 6], [2, 2]]]], [[9, 16, 9, 9, 5], [And(1 < v,v < 2^(1/2)
), u = (v^2+2)^(1/2), 1 < x, x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [2, 2], [6
, 6], [3, 3]]]], [[10, 1, 3, 1, 1], [v = 2^(1/2), u < -2, And(-u^2+1 < x,x < -\
1), y < x-u^2+3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3, -3], [-9/2, -9/2], [-12, -12], [0, 0]]]], [[10, 5, 4, 3, 1], [v = 2^(1/2),
And(-3^(1/2) < u,u < -v), x = -1, And(-1 < y,y < -u^2+2), z < -(y+1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1, -1], [-1546383/2097152, -1546383/2097152], [-2, -2]]]], [[10, 5
, 4, 3, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -1, And(-1 < y,y < -u^
2+2), z = -(y+1)^(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, 3, 3], [v = 2^(1
/2), And(-3^(1/2) < u,u < -v), x = -1, And(-1 < y,y < -u^2+2), And(-(y+1)^(1/2
) < z,z < (y+1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [-1, -1], [-1546383/2097152, -1546383/
2097152], [0, 0]]]], [[10, 5, 4, 3, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v)
, x = -1, And(-1 < y,y < -u^2+2), z = (y+1)^(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, 3, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -1, And(-1 < y,y < -u
^2+2), (y+1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [-1, -1], [-1546383/2097152, -1546383/
2097152], [2, 2]]]], [[10, 6, 7, 7, 1], [v = 2^(1/2), u = -v, 1 < x, x+1 < y,
z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1482911/1048576, -741455/524288], [2, 2], [4, 4], [-3, -3]]]], [[10, 6, 7, 7,
2], [v = 2^(1/2), u = -v, 1 < x, x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [2, 2],
[4, 4], [-1482911/1048576, -741455/524288]]]], [[10, 6, 7, 7, 3], [v = 2^(1/2)
, u = -v, 1 < x, x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [2, 2], [4, 4], [0, 0]]]], [[10, 6, 7, 7, 4], [v = 2^(1/2), u = -v, 1
< x, x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [2, 2], [4, 4], [741455/524288,
1482911/1048576]]]], [[10, 6, 7, 7, 5], [v = 2^(1/2), u = -v, 1 < x, x+1 < y,
(y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911
/1048576, -741455/524288], [2, 2], [4, 4], [3, 3]]]], [[10, 13, 1, 1, 1], [v =
2^(1/2), And(1 < u,u < v), x < u^2-3, y < x, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-3, -3], [-4, -\
4], [0, 0]]]], [[10, 14, 3, 6, 1], [v = 2^(1/2), u = v, And(-1 < x,x < 0), y =
x+1, 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,
6, 2], [v = 2^(1/2), u = v, And(-1 < x,x < 0), y = x+1, 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, 6, 3], [v = 2^(1
/2), u = v, And(-1 < x,x < 0), y = x+1, 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, 6, 4], [v = 2^(1/2), u = v, And(-1 < x,
x < 0), y = x+1, 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, 6, 5], [v = 2^(1/2), u = v, And(-1 < x,x < 0), y = x+1, 1 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-1/2, -1/2], [1/2, 1/2], [2, 2]]]], [[11, 2, 3, 9, 1], [2^(1/2) < v
, u = -(v^2+2)^(1/2), And(-3 < x,x < -1), x+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-2, -2], [2, 2],
[-3, -3]]]], [[11, 2, 3, 9, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-3 < x,x
< -1), x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288,
-3477733/1048576], [-2, -2], [2, 2], [-2, -2]]]], [[11, 2, 3, 9, 3], [2^(1/2)
< v, u = -(v^2+2)^(1/2), And(-3 < x,x < -1), x+3 < y, And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [
-2, -2], [2, 2], [0, 0]]]], [[11, 2, 3, 9, 4], [2^(1/2) < v, u = -(v^2+2)^(1/2
), And(-3 < x,x < -1), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [-2, -2], [2, 2], [2, 2]]]], [[11, 2, 3, 9,
5], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-3 < x,x < -1), x+3 < y, (y-x)^(1/2)
< z], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-2, -2],
[2, 2], [3, 3]]]], [[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 < 0, z = z], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [129511/262144, 518045/1048576], [-1, -1],
[0, 0]]]], [[11, 9, 11, 9, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-\
2)^(1/2)), 1 < x, x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3],
[-22960369/8388608, -22960369/8388608], [2, 2], [6, 6], [-3, -3]]]], [[11, 9,
11, 9, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, x-
u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608,
-22960369/8388608], [2, 2], [6, 6], [-2, -2]]]], [[11, 9, 11, 9, 3], [2^(1/2)
< v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, x-u^2+v^2+1 < y, And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-22960369/8388608
, -22960369/8388608], [2, 2], [6, 6], [0, 0]]]], [[11, 9, 11, 9, 4], [2^(1/2)
< v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, x-u^2+v^2+1 < y, z = (
y-x)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608],
[2, 2], [6, 6], [2, 2]]]], [[11, 9, 11, 9, 5], [2^(1/2) < v, And(-(v^2-1)^(1/2
) < u,u < -(v^2-2)^(1/2)), 1 < x, x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [2, 2], [6, 6]
, [3, 3]]]], [[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 = z], [regular_chain, [[3, 3
], [0, 0], [-1/2, -1/2], [-10, -10], [0, 0]]]], [[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 < -u^2+v^2-1, z = z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-129143/262144, -\
516571/1048576], [-2, -2], [0, 0]]]], [[11, 17, 2, 7, 1], [2^(1/2) < v, And(v
< u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, 0 < y, 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, 7, 2], [2^(1/2) < v, And(v
< u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, 0 < y, 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
, 7, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, 0 < y, 
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, 7, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x =
-u^2+v^2-1, 0 < y, 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, 7, 5], [2^(1/2) < v, And(v < u,u < (v^
2+1)^(1/2)), x = -u^2+v^2-1, 0 < y, (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, 1, 6, 6, 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, 6, 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,
6, 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, 6, 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, 6, 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, 2, 9
, 4, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), 1 < x, y = x-1, z = z], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [2, 2], [1, 1],
[0, 0]]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain,
[[-3, -3], [-22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527
/4194304], [0, 0], [-3, -3]]]], [[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 = 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, 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 = 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, 6, 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, 6, 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, 9, 1], [v < -2^(1/2
), u = -(v^2-2)^(1/2), And(-1 < x,x < 0), x+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2],
[4, 4], [-4, -4]]]], [[1, 10, 5, 9, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), And
(-1 < x,x < 0), x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [-1/2, -1/2], [4, 4], [-1112183/524288, -\
2224365/1048576]]]], [[1, 10, 5, 9, 3], [v < -2^(1/2), u = -(v^2-2)^(1/2), And
(-1 < x,x < 0), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2],
[4, 4], [0, 0]]]], [[1, 10, 5, 9, 4], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-\
1 < x,x < 0), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [-1/2, -1/2], [4, 4], [2224365/1048576, 1112183/
524288]]]], [[1, 10, 5, 9, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-1 < x,x
< 0), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-5548543/2097152,
-2774271/1048576], [-1/2, -1/2], [4, 4], [4, 4]]]], [[1, 14, 6, 1, 1], [v < -2
^(1/2), u = (v^2-1)^(1/2), x = 0, y < 0, z = z], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [0, 0], [-1, -1], [0, 0]]]], [[1, 15, 11, 5,
1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, And(x < y,y < u^2-v^2
+x+1), z < -(y-x)^(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(x < y,y <
u^2-v^2+x+1), z = -(y-x)^(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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2-v^2+x+1), z = (y-x)
^(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(x < y,
y < u^2-v^2+x+1), (y-x)^(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(u^2+x-1 < y,y < 0
), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3
, -3], [-9, -9], [-1/2, -1/2], [-4, -4]]]], [[2, 1, 1, 7, 2], [v = -2^(1/2), u
< -2, x < -u^2+1, And(u^2+x-1 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [-3, -3], [-9, -9], [-1/2, -1/2], [-\
24456785/8388608, -1528549/524288]]]], [[2, 1, 1, 7, 3], [v = -2^(1/2), u < -2
, x < -u^2+1, And(u^2+x-1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-9, -9], [-1/2
, -1/2], [0, 0]]]], [[2, 1, 1, 7, 4], [v = -2^(1/2), u < -2, x < -u^2+1, And(u
^2+x-1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [-9, -9], [-1/2, -1/2], [1528549/524288, 3057099/
1048576]]]], [[2, 1, 1, 7, 5], [v = -2^(1/2), u < -2, x < -u^2+1, And(u^2+x-1
< y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [-9, -9], [-1/2, -1/2], [4, 4]]]], [[2, 2, 4, 3, 1], [v = -
2^(1/2), u = -2, x = -1, And(-2 < y,y < -1), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-2, -2], [-1, -1], [-3/2, -3/2], [0, 0]]]],
[[2, 9, 8, 7, 1], [v = -2^(1/2), And(-1 < u,u < 0), x = -u^2+1, -2*u^2+4 < y,
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, 7, 2], [v = -2^(1/2),
And(-1 < u,u < 0), x = -u^2+1, -2*u^2+4 < y, 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, 7, 3], [v = -2^(1/2
), And(-1 < u,u < 0), x = -u^2+1, -2*u^2+4 < y, 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, 7, 4], [v = -2^(1/2), And(-1
< u,u < 0), x = -u^2+1, -2*u^2+4 < y, 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, 7, 5], [v = -2^(1/2), And(-1 < u,u < 0
), x = -u^2+1, -2*u^2+4 < y, (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
, 2, 3, 1], [v = -2^(1/2), And(0 < u,u < 1), x = u^2-3, And(2*u^2-4 < y,y < u^
2-3), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2],
[-11/4, -11/4], [-25/8, -25/8], [0, 0]]]], [[2, 17, 5, 5, 1], [v = -2^(1/2), 
And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z
= -(y-x)^(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(x
< y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 < 0, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [2, 2], [1, 1], [-1, -1], [0, 0]]]], [[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 < x-u^2+v^2+1, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-14373233/8388608, -14373233/8388608], [501965/2097152, 501965/
2097152], [-2, -2], [0, 0]]]], [[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], [-7843787/
8388608, -3921893/4194304], [-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], [-\
7843787/8388608, -3921893/4194304], [-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], [-7843787/8388608, -\
3921893/4194304], [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], [-7843787/
8388608, -3921893/4194304], [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], [-7843787/8388608, -3921893/4194304], [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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 7, 1], [And(-2^
(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, 0 < y, 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, 7, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2
+1)^(1/2)), x = -u^2+v^2-1, 0 < y, 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, 7, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2
)), x = -u^2+v^2-1, 0 < y, 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, 7, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2
+1)^(1/2)), x = -u^2+v^2-1, 0 < y, 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, 7, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x
= -u^2+v^2-1, 0 < y, (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, 4, 2, 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, 2, 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, 2, 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, 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 < 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [1, 1], [-1, -1], [0, 0]]]], [[4, 4, 4, 6, 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
, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = -1, And(-2^(1/2) < u,u < -1), x = 1,
And(1 < y,y < -u^2+3), 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(1 < y
,y < -u^2+3), 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(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], [
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(1 < y,y < -u^2+3), 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(1 < y,y < -u^2+
3), (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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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-u^2+2 < y,y < u^2+x), z <
-(y-x)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576],
[2, 2], [3, 3], [-2, -2]]]], [[4, 11, 11, 7, 2], [v = -1, And(1 < u,u < 2^(1/2
)), 1 < x, And(x-u^2+2 < y,y < u^2+x), z = -(y-x)^(1/2)], [regular_chain, [[-1
, -1], [1265743/1048576, 1265743/1048576], [2, 2], [3, 3], [-1, -1]]]], [[4, 
11, 11, 7, 3], [v = -1, And(1 < u,u < 2^(1/2)), 1 < x, And(x-u^2+2 < y,y < u^2
+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [2, 2], [3, 3], [0, 0]]]], [[4, 11, 11, 7,
4], [v = -1, And(1 < u,u < 2^(1/2)), 1 < x, And(x-u^2+2 < y,y < u^2+x), z = (y
-x)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [2,
2], [3, 3], [1, 1]]]], [[4, 11, 11, 7, 5], [v = -1, And(1 < u,u < 2^(1/2)), 1
< x, And(x-u^2+2 < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[-1, -1],
[1265743/1048576, 1265743/1048576], [2, 2], [3, 3], [2, 2]]]], [[5, 2, 7, 6, 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, 6, 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, 6, 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, 4, 1, 2, 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, 2, 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, 2, 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, 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 = 0, z = z], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [1534619/2097152
, 1534619/2097152], [0, 0], [0, 0]]]], [[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 < 0), 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, 5, 2], [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 = -(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, 5, 3], [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), 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, 5, 4], [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 = (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, 5, 5], [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), (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, 6, 1], [v = 0, And(-1 < u,u < 0), And(0 < x,x <
1), y = x-u^2+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, 6, 2], [v = 0, And(-1 < u,u <
0), And(0 < x,x < 1), y = x-u^2+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, 6, 3], [v = 0, And(-1 < u,u < 0), And(0 < x,x < 1), y = x-u^2+
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, 6, 4
], [v = 0, And(-1 < u,u < 0), And(0 < x,x < 1), y = x-u^2+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, 6, 5], [v = 0, And(-1 < u,u < 0), And(0
< x,x < 1), y = x-u^2+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, 6, 5, 1], [v = 0, And(0 < u,
u < 1), x = u^2-1, And(0 < y,y < 2*u^2), z < -(y-u^2+1)^(1/2)], [regular_chain
, [[0, 0], [1/2, 1/2], [-3/4, -3/4], [1/4, 1/4], [-2, -2]]]], [[6, 7, 6, 5, 2]
, [v = 0, And(0 < u,u < 1), x = u^2-1, And(0 < y,y < 2*u^2), z = -(y-u^2+1)^(1
/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3/4, -3/4], [1/4, 1/4], [-1, -1]]
]], [[6, 7, 6, 5, 3], [v = 0, And(0 < u,u < 1), x = u^2-1, And(0 < y,y < 2*u^2
), And(-(y-u^2+1)^(1/2) < z,z < (y-u^2+1)^(1/2))], [regular_chain, [[0, 0], [1
/2, 1/2], [-3/4, -3/4], [1/4, 1/4], [0, 0]]]], [[6, 7, 6, 5, 4], [v = 0, And(0
< u,u < 1), x = u^2-1, And(0 < y,y < 2*u^2), z = (y-u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1/2, 1/2], [-3/4, -3/4], [1/4, 1/4], [1, 1]]]], [[6,
7, 6, 5, 5], [v = 0, And(0 < u,u < 1), x = u^2-1, And(0 < y,y < 2*u^2), (y-u^2
+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, 3, 1], [v = 0, 2^(1/2) < u, And(0 < x,x < 1), And(x-u^2
+1 < y,y < 0), z = z], [regular_chain, [[0, 0], [3, 3], [1/2, 1/2], [-15/4, -\
15/4], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[1/2, 1/2], [-3, -3], [
35/8, 35/8], [35/8, 35/8], [-1, -1]]]], [[7, 1, 9, 6, 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, 6, 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, 3, 1], [And(0 < v,v < 1), And(-v < u,u < v), 1 < x, And(0 < y,y <
x), z = z], [regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [1, 1], [0, 0]]]], [[
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], [312209/524288, 624419/1048576], [-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], [312209/524288, 624419/1048576], [-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], [312209/524288, 624419/1048576], [-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], [312209/524288, 624419/1048576], [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], [312209/524288, 
624419/1048576], [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 = -2*u^2+2*v^2, z = z], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-2583195/1048576,
-1291597/524288], [-6138473/2097152, -24553891/8388608], [0, 0]]]], [[7, 12, 4
, 3, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -1, And(-2 < y,y < -1), z =
z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1, -1], [-3/2, -3/2], [0, 0]]]]
, [[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], [-1917243/2097152, -7668971/
8388608], [-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], [-1917243/
2097152, -7668971/8388608], [-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], [-1917243/2097152, -\
7668971/8388608], [-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], [-1917243/2097152, -7668971/8388608], [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], [-1917243/
2097152, -7668971/8388608], [2, 2]]]], [[8, 6, 5, 6, 1], [v = 1, u = -1, And(0
< x,x < 1), y = x+1, z < -1], [regular_chain, [[1, 1], [-1, -1], [1/2, 1/2], [
3/2, 3/2], [-2, -2]]]], [[8, 6, 5, 6, 2], [v = 1, u = -1, And(0 < x,x < 1), y
= x+1, z = -1], [regular_chain, [[1, 1], [-1, -1], [1/2, 1/2], [3/2, 3/2], [-1
, -1]]]], [[8, 6, 5, 6, 3], [v = 1, u = -1, And(0 < x,x < 1), y = x+1, And(-1
< z,z < 1)], [regular_chain, [[1, 1], [-1, -1], [1/2, 1/2], [3/2, 3/2], [0, 0]
]]], [[8, 6, 5, 6, 4], [v = 1, u = -1, And(0 < x,x < 1), y = x+1, z = 1], [
regular_chain, [[1, 1], [-1, -1], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[8, 6, 5
, 6, 5], [v = 1, u = -1, And(0 < x,x < 1), y = x+1, 1 < z], [regular_chain, [[
1, 1], [-1, -1], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[8, 11, 4, 1, 1], [v = 1,
And(1 < u,u < 2^(1/2)), x = -1, y < -1, z = z], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-1, -1], [-2, -2], [0, 0]]]], [[8, 12, 7,
5, 1], [v = 1, u = 2^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z < -(y-x)^(
1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [1/2, 1/2],
[3/2, 3/2], [-2, -2]]]], [[8, 12, 7, 5, 2], [v = 1, u = 2^(1/2), And(0 < x,x <
1), And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [741455/
524288, 1482911/1048576], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]], [[8, 12, 7, 5,
3], [v = 1, u = 2^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), And(-(y-x)^(1/2
) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [741455/524288, 1482911/
1048576], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[8, 12, 7, 5, 4], [v = 1, u = 2^
(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain,
[[1, 1], [741455/524288, 1482911/1048576], [1/2, 1/2], [3/2, 3/2], [1, 1]]]],
[[8, 12, 7, 5, 5], [v = 1, u = 2^(1/2), And(0 < x,x < 1), And(x < y,y < x+2),
(y-x)^(1/2) < z], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [
1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[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 < -1),
z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [-1, -1], [-2599117/2097152, -2599117/2097152], [
0, 0]]]], [[9, 4, 7, 7, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(0
< x,x < 1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-410915/262144, -3287319/2097152], [1/2, 1/2], [4, 4], [-3,
-3]]]], [[9, 4, 7, 7, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(0 <
x,x < 1), x+2 < y, z = -(y-x)^(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, 7, 3], [And(1 < v,v < 2^(1/2))
, u = -(v^2+1)^(1/2), And(0 < x,x < 1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x
)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/
262144, -3287319/2097152], [1/2, 1/2], [4, 4], [0, 0]]]], [[9, 4, 7, 7, 4], [
And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(0 < x,x < 1), x+2 < y, z = (y-
x)^(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, 7, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(0 < x
,x < 1), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-410915/262144, -3287319/2097152], [1/2, 1/2], [4, 4], [3, 3]]]],
[[9, 12, 2, 3, 1], [And(1 < v,v < 2^(1/2)), u = v, x = -1, And(-1 < y,y < 0),
z < -(y+1)^(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(-1 < y,y < 0), z = -
(y+1)^(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(-1
< y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [1/2, 1/2], [3, 3], [-3, -3]]]], [[9, 13, 9, 9, 2], [And(1 < v,v < 2
^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), u^2-v^2+x+1 < y, z =
-(y-x)^(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, 9, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^
(1/2)), And(0 < x,x < 1), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [1/2, 1/2], [3, 3], [0, 0]]]], [[9, 13, 9, 9, 4], [And(1 < v
,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), u^2-v^2+x+1 < y
, z = (y-x)^(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, 9, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1
)^(1/2)), And(0 < x,x < 1), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2,
1/2], [3, 3], [3, 3]]]], [[10, 2, 5, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 10, 2, 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, 4, 6
, 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, 6, 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, 6, 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, 6
, 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, 6, 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, 10, 1, 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], [-1, -1], [0, 0]]]], [[10, 15, 11, 7, 1], [v = 2^(1/2), And(v <
u,u < 3^(1/2)), 1 < x, And(x-u^2+3 < y,y < u^2+x-1), z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [2, 2], [3, 3], [-2, -2]]]], [[10, 15, 11, 7, 2], [v = 2^(1/2), And(
v < u,u < 3^(1/2)), 1 < x, And(x-u^2+3 < y,y < u^2+x-1), z = -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [2, 2], [3, 3], [-1, -1]]]], [[10, 15, 11, 7, 3], [v = 2^(1/2), And(
v < u,u < 3^(1/2)), 1 < x, And(x-u^2+3 < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,
z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3299097
/2097152, 3299097/2097152], [2, 2], [3, 3], [0, 0]]]], [[10, 15, 11, 7, 4], [v
= 2^(1/2), And(v < u,u < 3^(1/2)), 1 < x, And(x-u^2+3 < y,y < u^2+x-1), z = (y
-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [2, 2], [3, 3], [1, 1]]]], [[10, 15, 11, 7, 5], [v
= 2^(1/2), And(v < u,u < 3^(1/2)), 1 < x, And(x-u^2+3 < y,y < u^2+x-1), (y-x)^
(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [2, 2], [3, 3], [2, 2]]]], [[10, 17, 6, 6, 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], [2602619/1048576, 650655/262144], [-3, -3]]]], [[10, 17, 6,
6, 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], [2602619/1048576, 650655/262144], [-825991/524288, -\
3303963/2097152]]]], [[10, 17, 6, 6, 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],
[2602619/1048576, 650655/262144], [-1/4194304, -1/4194304]]]], [[10, 17, 6, 6,
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], [2602619/1048576, 650655/262144], [1651981/1048576, 825991/
524288]]]], [[10, 17, 6, 6, 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], [2602619/1048576, 650655/262144]
, [3, 3]]]], [[10, 18, 7, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 19, 11, 9,
1], [v = 2^(1/2), 2 < u, u^2-3 < x, u^2+x-1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7, 7], [16, 16], [-\
4, -4]]]], [[10, 19, 11, 9, 2], [v = 2^(1/2), 2 < u, u^2-3 < x, u^2+x-1 < y, z
= -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7
, 7], [16, 16], [-3, -3]]]], [[10, 19, 11, 9, 3], [v = 2^(1/2), 2 < u, u^2-3 <
x, u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [7, 7], [16, 16], [0, 0]]]], [[10, 19
, 11, 9, 4], [v = 2^(1/2), 2 < u, u^2-3 < x, u^2+x-1 < y, z = (y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7, 7], [16, 16], [3
, 3]]]], [[10, 19, 11, 9, 5], [v = 2^(1/2), 2 < u, u^2-3 < x, u^2+x-1 < y, (y-
x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7,
7], [16, 16], [4, 4]]]], [[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 < x, z = z], [regular_chain, [[3, 3],
[-6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288], [-3, -\
3], [0, 0]]]], [[11, 8, 6, 1, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 0, y <
0, z = z], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [0,
0], [-1, -1], [0, 0]]]], [[11, 12, 5, 9, 1], [2^(1/2) < v, u = (v^2-2)^(1/2),
And(-1 < x,x < 0), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [-1/2, -1/2], [4, 4], [-4, -4]]]], [[11, 12, 5,
9, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-1 < x,x < 0), x+3 < y, z = -(y-x)
^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1/2, -1/2],
[4, 4], [-1112183/524288, -2224365/1048576]]]], [[11, 12, 5, 9, 3], [2^(1/2) <
v, u = (v^2-2)^(1/2), And(-1 < x,x < 0), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-
x)^(1/2))], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1/2, -1/
2], [4, 4], [0, 0]]]], [[11, 12, 5, 9, 4], [2^(1/2) < v, u = (v^2-2)^(1/2), 
And(-1 < x,x < 0), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [-1/2, -1/2], [4, 4], [2224365/1048576, 1112183/
524288]]]], [[11, 12, 5, 9, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-1 < x,x
< 0), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [2774271/1048576, 
10837/4096], [-1/2, -1/2], [4, 4], [4, 4]]]], [[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(0 < y,y < u^2-v^2+2),
z = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1, 1], [
515539/2097152, 515539/2097152], [0, 0]]]], [[11, 20, 3, 2, 1], [2^(1/2) < v,
u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = x-1, z = z], [regular_chain, [[3, 3
], [3477733/1048576, 1738867/524288], [-2, -2], [-3, -3], [0, 0]]]], [[11, 21,
7, 3, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(x-u^2+v^2+1 <
y,y < 0), z = z], [regular_chain, [[3, 3], [5, 5], [1/2, 1/2], [-29/4, -29/4],
[0, 0]]]], [[1, 1, 8, 4, 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
, 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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(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(x < y,y < u^2-v^2+x+1), z = -
(y-x)^(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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z
< (y-x)^(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(x < y,y < u^2-v^2+x+1), z = (y-x)^(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(x < y,y < u^2-
v^2+x+1), (y-x)^(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 = x, z < 0], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [-7357527/
4194304, -7357527/4194304], [-1, -1]]]], [[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 = x, z =
0], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-\
7357527/4194304, -7357527/4194304], [-7357527/4194304, -7357527/4194304], [0,
0]]]], [[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 = x, 0 < z], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [-\
7357527/4194304, -7357527/4194304], [1, 1]]]], [[1, 10, 5, 3, 1], [v < -2^(1/2
), u = -(v^2-2)^(1/2), And(-1 < x,x < 0), And(x-1 < y,y < x), z = z], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2],
[-1, -1], [0, 0]]]], [[1, 14, 8, 3, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x =
1, And(0 < y,y < 1), z = z], [regular_chain, [[-3, -3], [741455/262144, 
2965821/1048576], [1, 1], [1/2, 1/2], [0, 0]]]], [[1, 16, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = -2^(1/2), u < -2, x
< -u^2+1, And(x < y,y < u^2+x-1), z < -(y-x)^(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(x < y,y < u^2+x-1), z
= -(y-x)^(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(x < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,
y < u^2+x-1), z = (y-x)^(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(x < y,y < u^2+x-1), (y-x)^(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
= 0, z < -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
2, -2], [-2, -2], [0, 0], [-3, -3]]]], [[2, 2, 3, 6, 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, 6, 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, 6,
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, 6, 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, 6,
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, 6, 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, 6,
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, 5, 1], [v = -2^(1/2), And(0 < u,u < 1), x =
u^2-3, And(u^2-3 < y,y < 0), z < -(y-u^2+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, 5, 2], [v = -2^(1/2), And(0 < u,u < 1), x = u^2-3, And(u^2-3
< y,y < 0), z = -(y-u^2+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, 5, 3], [v = -2^(1/2), And(0 < u,u < 1), x = u^2
-3, And(u^2-3 < y,y < 0), And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+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, 5, 4], [v = -2^(1/2), And(0 < u,u < 1
), x = u^2-3, And(u^2-3 < y,y < 0), z = (y-u^2+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, 5, 5], [v = -2^(1/2), And(0 <
u,u < 1), x = u^2-3, And(u^2-3 < y,y < 0), (y-u^2+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, 4, 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, 4, 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, 4, 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]]]], [[2, 18, 6, 3, 1], [v = -2^(1/2), u = 2, x = 0, And(-1
< y,y < 0), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2
], [0, 0], [-1/2, -1/2], [0, 0]]]], [[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(x
< y,y < u^2-v^2+x+1), z < -(y-x)^(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, 7
, 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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 7, 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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 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(x < y,y < u^2-v
^2+x+1), z = (y-x)^(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, 7, 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(x < y,y < u^2-v^2+x+1), (y-x)^(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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 =
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, 4, 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 < y,y < 0), z < -(y+1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341
/1048576], [-1, -1], [-1196409/4194304, -1196409/4194304], [-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(u^2-v^2 < y,y < 0), z = -(y+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1], [-\
1196409/4194304, -1196409/4194304], [-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(u^2-v^2 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [-1196409/4194304, -1196409/4194304], [-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(u^2-v^2 < y,y < 0), z = (y+1)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-1, -\
1], [-1196409/4194304, -1196409/4194304], [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(u^2-v^2 < y,y < 0), (y+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1], [-\
1196409/4194304, -1196409/4194304], [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 = x, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3, -3], [-3, -3], [-1, -1]]]], [[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 = x, z = 0
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3, -3], [-3, -3], [0, 0]]]], [[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 = x, 0 < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3, -3], [-3, -3], [1, 1]]]], [[3, 14, 6, 2, 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, 2, 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, 2, 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, 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 = 0, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [2, 2], [0, 0], [0, 0]]]], [[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 = u^2+x, z < u], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [
1026087/524288, 2052175/1048576], [-3, -3]]]], [[4, 5, 9, 8, 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], [1026087/524288, 
2052175/1048576], [-1265743/1048576, -1265743/1048576]]]], [[4, 5, 9, 8, 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], [1026087/524288, 2052175/1048576], [0, 0]]]], [[4, 5, 9, 8, 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], [1026087/524288
, 2052175/1048576], [1265743/1048576, 1265743/1048576]]]], [[4, 5, 9, 8, 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], [
1026087/524288, 2052175/1048576], [3, 3]]]], [[4, 10, 6, 5, 1], [v = -1, u = 1
, x = 1, And(1 < y,y < 2), z < -(y-1)^(1/2)], [regular_chain, [[-1, -1], [1, 1
], [1, 1], [3/2, 3/2], [-2, -2]]]], [[4, 10, 6, 5, 2], [v = -1, u = 1, x = 1,
And(1 < y,y < 2), z = -(y-1)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [1, 1]
, [3/2, 3/2], [-1482911/2097152, -741455/1048576]]]], [[4, 10, 6, 5, 3], [v =
-1, u = 1, x = 1, And(1 < y,y < 2), 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, 5
, 4], [v = -1, u = 1, x = 1, And(1 < y,y < 2), z = (y-1)^(1/2)], [
regular_chain, [[-1, -1], [1, 1], [1, 1], [3/2, 3/2], [741455/1048576, 46341/
65536]]]], [[4, 10, 6, 5, 5], [v = -1, u = 1, x = 1, And(1 < y,y < 2), (y-1)^(
1/2) < z], [regular_chain, [[-1, -1], [1, 1], [1, 1], [3/2, 3/2], [2, 2]]]], [
[4, 12, 2, 1, 1], [v = -1, u = 2^(1/2), x = -2, y < -2, z = z], [regular_chain
, [[-1, -1], [741455/524288, 1482911/1048576], [-2, -2], [-3, -3], [0, 0]]]],
[[5, 2, 7, 4, 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, 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-u^2+v^2+1 < y,y < x), 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 = 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], [3350503/1048576, 418813/131072],
[-3, -3]]]], [[5, 11, 9, 8, 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], [3350503/1048576, 418813/131072], [-3291611/2097152
, -1645805/1048576]]]], [[5, 11, 9, 8, 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], [3350503/
1048576, 418813/131072], [0, 0]]]], [[5, 11, 9, 8, 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], [3350503/1048576, 418813/
131072], [1645805/1048576, 822903/524288]]]], [[5, 11, 9, 8, 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], [3350503/1048576,
418813/131072], [3, 3]]]], [[5, 13, 2, 7, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2
) < u, x = -u^2+v^2-1, 0 < y, 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, 7, 2], [And
(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, 0 < y, 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, 7, 3], [And(-1 < v,v < 0), (
v^2+2)^(1/2) < u, x = -u^2+v^2-1, 0 < y, 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, 7, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -
u^2+v^2-1, 0 < y, 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,
7, 5], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, 0 < y, (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, 8, 3, 1], [v = 0, And(-1 < u,u < 0), x = 0, And(0 < y,y <
-u^2+1), z < -y^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [0, 0], [3/8, 3
/8], [-2, -2]]]], [[6, 5, 8, 3, 2], [v = 0, And(-1 < u,u < 0), x = 0, And(0 <
y,y < -u^2+1), 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, 3, 3], [v = 0, 
And(-1 < u,u < 0), x = 0, And(0 < y,y < -u^2+1), 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, 3, 4], [v = 0, And(-1 < u,u < 0), x = 0, And(0 < y,y < -u^2+1), 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, 3, 5], [v = 0, And(-1 < u,u < 0), x = 0,
And(0 < y,y < -u^2+1), y^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2], [0
, 0], [3/8, 3/8], [2, 2]]]], [[6, 7, 4, 9, 1], [v = 0, And(0 < u,u < 1), x = -\
1, u^2 < y, z < -(y+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-1, -1],
[2, 2], [-3, -3]]]], [[6, 7, 4, 9, 2], [v = 0, And(0 < u,u < 1), x = -1, u^2 <
y, z = -(y+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-1, -1], [2, 2], [
-1816187/1048576, -3632373/2097152]]]], [[6, 7, 4, 9, 3], [v = 0, And(0 < u,u
< 1), x = -1, u^2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain,
[[0, 0], [1/2, 1/2], [-1, -1], [2, 2], [-1/4194304, -1/4194304]]]], [[6, 7, 4,
9, 4], [v = 0, And(0 < u,u < 1), x = -1, u^2 < y, z = (y+1)^(1/2)], [
regular_chain, [[0, 0], [1/2, 1/2], [-1, -1], [2, 2], [908093/524288, 1816187/
1048576]]]], [[6, 7, 4, 9, 5], [v = 0, And(0 < u,u < 1), x = -1, u^2 < y, (y+1
)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [-1, -1], [2, 2], [3, 3]]]]
, [[6, 11, 7, 9, 1], [v = 0, 2^(1/2) < u, And(0 < x,x < 1), u^2+x+1 < y, z < -
(y-x)^(1/2)], [regular_chain, [[0, 0], [3, 3], [1/2, 1/2], [12, 12], [-5, -5]]
]], [[6, 11, 7, 9, 2], [v = 0, 2^(1/2) < u, And(0 < x,x < 1), u^2+x+1 < y, z =
-(y-x)^(1/2)], [regular_chain, [[0, 0], [3, 3], [1/2, 1/2], [12, 12], [-\
3555895/1048576, -1777947/524288]]]], [[6, 11, 7, 9, 3], [v = 0, 2^(1/2) < u,
And(0 < x,x < 1), u^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[0, 0], [3, 3], [1/2, 1/2], [12, 12], [0, 0]]]], [[6, 11, 7, 9
, 4], [v = 0, 2^(1/2) < u, And(0 < x,x < 1), u^2+x+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[0, 0], [3, 3], [1/2, 1/2], [12, 12], [1777947/524288, 3555895
/1048576]]]], [[6, 11, 7, 9, 5], [v = 0, 2^(1/2) < u, And(0 < x,x < 1), u^2+x+
1 < y, (y-x)^(1/2) < z], [regular_chain, [[0, 0], [3, 3], [1/2, 1/2], [12, 12]
, [5, 5]]]], [[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 < -(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, 8,
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, 8, 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, 8, 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, 8, 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, 2, 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, 6, 6, 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], [424157/524288, 848315/1048576], [-3, -3]]]], [[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 = 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], [424157/524288, 848315/1048576]
, [-19417/16384, -1242687/1048576]]]], [[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 = 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], [424157/524288
, 848315/1048576], [0, 0]]]], [[7, 9, 6, 6, 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], [424157/524288, 848315/1048576], [1242687/1048576,
19417/16384]]]], [[7, 9, 6, 6, 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], [424157/524288, 848315/1048576], [3, 3]]]], [[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(x < y,y < 0), z < -(y-x)^(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(x <
y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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
= 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, 8, 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, 8, 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, 8, 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, 8, 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, 7, 1], [v = 1, And
(-2^(1/2) < u,u < -1), x < -u^2, And(u^2+x < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3, -3], [-\
1617841/2097152, -1617841/2097152], [-3, -3]]]], [[8, 5, 1, 7, 2], [v = 1, And
(-2^(1/2) < u,u < -1), x < -u^2, And(u^2+x < y,y < 0), z = -(y-x)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3, -3], [-\
1617841/2097152, -1617841/2097152], [-782675/524288, -1565349/1048576]]]], [[8
, 5, 1, 7, 3], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, And(u^2+x < y,y < 0
), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-3, -3], [-1617841/2097152, -1617841/2097152], [0
, 0]]]], [[8, 5, 1, 7, 4], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, And(u^2
+x < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [-3, -3], [-1617841/2097152, -1617841/2097152], [1565349/
1048576, 782675/524288]]]], [[8, 5, 1, 7, 5], [v = 1, And(-2^(1/2) < u,u < -1)
, x < -u^2, And(u^2+x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [
-1265743/1048576, -1265743/1048576], [-3, -3], [-1617841/2097152, -1617841/
2097152], [3, 3]]]], [[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 = x, z < 0], [regular_chain,
[[1, 1], [1265743/1048576, 1265743/1048576], [-3235683/4194304, -3235683/
4194304], [-3235683/4194304, -3235683/4194304], [-1, -1]]]], [[8, 11, 5, 2, 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], [-3235683/4194304, -3235683/4194304], [0, 0]]]], [[8, 11, 5
, 2, 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], [-3235683/4194304, -3235683/4194304], [1, 1]]]], [[8, 12,
9, 5, 1], [v = 1, u = 2^(1/2), 1 < x, And(x < y,y < x+2), z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [2, 2], [3, 3], [-2,
-2]]]], [[8, 12, 9, 5, 2], [v = 1, u = 2^(1/2), 1 < x, And(x < y,y < x+2), z =
-(y-x)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [2,
2], [3, 3], [-1, -1]]]], [[8, 12, 9, 5, 3], [v = 1, u = 2^(1/2), 1 < x, And(x
< y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1],
[741455/524288, 1482911/1048576], [2, 2], [3, 3], [0, 0]]]], [[8, 12, 9, 5, 4]
, [v = 1, u = 2^(1/2), 1 < x, And(x < y,y < x+2), z = (y-x)^(1/2)], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [2, 2], [3, 3], [1,
1]]]], [[8, 12, 9, 5, 5], [v = 1, u = 2^(1/2), 1 < x, And(x < y,y < x+2), (y-x
)^(1/2) < z], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [2, 2
], [3, 3], [2, 2]]]], [[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 = 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, 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 = 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, 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 = 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, 6, 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, 6, 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, 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 < x+2), z < -(y-x)^(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, 5, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^
(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z = -(y-x)^(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, 5, 3], [And(1 < v,v < 2^(1/2)), u
= -(v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z
< (y-x)^(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, 5, 4
], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y
< x+2), z = (y-x)^(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, 5, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(x
< y,y < x+2), (y-x)^(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, 2, 5, 1], [And(1 < v,v < 2^(1/2)), u = v, x = -1, 0 < y, z < -(y+1
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [-1, -1], [1, 1], [-3, -3]]]], [[9, 12, 2, 5, 2], [
And(1 < v,v < 2^(1/2)), u = v, x = -1, 0 < y, z = -(y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [-1, -1], [1, 1], [-1482911/1048576, -741455/524288]]]], [[9, 12, 2,
5, 3], [And(1 < v,v < 2^(1/2)), u = v, x = -1, 0 < y, And(-(y+1)^(1/2) < z,z <
(y+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [-1, -1], [1, 1], [0, 0]]]], [[9, 12, 2, 5, 4], [
And(1 < v,v < 2^(1/2)), u = v, x = -1, 0 < y, z = (y+1)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-1
, -1], [1, 1], [741455/524288, 1482911/1048576]]]], [[9, 12, 2, 5, 5], [And(1
< v,v < 2^(1/2)), u = v, x = -1, 0 < y, (y+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-1, -1
], [1, 1], [3, 3]]]], [[9, 13, 10, 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+2, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [1, 1], [401729/262144, 1606917/1048576], [-2, -2]]]], [[9, 13, 10,
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+2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [1, 1], [401729/262144, 1606917/
1048576], [-765155/1048576, -1530309/2097152]]]], [[9, 13, 10, 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+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], [401729/262144
, 1606917/1048576], [-1/4194304, -1/4194304]]]], [[9, 13, 10, 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+2, z = (-u^2
+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [1, 1], [401729/262144, 1606917/1048576], [382577/
524288, 765155/1048576]]]], [[9, 13, 10, 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+2, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [1, 1], [401729/262144, 1606917/1048576], [2, 2]]]], [[10, 2, 4, 3,
1], [v = 2^(1/2), u = -2, x = -1, And(-2 < y,y < -1), z = z], [regular_chain,
[[741455/524288, 1482911/1048576], [-2, -2], [-1, -1], [-3/2, -3/2], [0, 0]]]]
, [[10, 3, 9, 1, 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], [-1, -1],
[0, 0]]]], [[10, 8, 5, 1, 1], [v = 2^(1/2), u = -1, And(-1 < x,x < 0), y < x,
z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1/2, -1
/2], [-2, -2], [0, 0]]]], [[10, 9, 10, 7, 1], [v = 2^(1/2), And(-1 < u,u < 0),
x = 1, And(1 < y,y < -u^2+4), 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, 7, 2], [v = 2^(1/2), And(-1 < u,u < 0), x = 1, And(1 < y,y < -u^2+4
), 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, 7, 3], [v = 2^(1/2), And(-1 < u,u < 0), x = 1, And(1 < y,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], [19/8, 19/8], [0, 0]]]], [[10, 9, 10, 7, 4], [
v = 2^(1/2), And(-1 < u,u < 0), x = 1, And(1 < y,y < -u^2+4), 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, 7, 5], [v = 2^(1/
2), And(-1 < u,u < 0), x = 1, And(1 < y,y < -u^2+4), (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, 10, 2, 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, 5,
1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), And(x < y,y < 0),
z < -(y-x)^(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(x < y,y
< 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = 0, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [2, 2], [2, 2], [0, 0], [0, 0]]]], [[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 < 0), 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, 5, 2], [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 = -(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, 5, 3], [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), 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, 5, 4], [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 = (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, 5, 5], [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), (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, 2, 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],
[-3161161/2097152, -395145/262144], [-1, -1]]]], [[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 = u^2-v^2-1, z = 0], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3161161/
2097152, -395145/262144], [-3161161/2097152, -395145/262144], [0, 0]]]], [[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 =
u^2-v^2-1, 0 < z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-3161161/2097152, -395145/262144], [-3161161/2097152, -395145/
262144], [1, 1]]]], [[11, 8, 5, 6, 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
, 6, 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, 6, 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, 6, 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, 6, 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, 7, 3, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), And(0 < x,x < 1), And(x-1 < 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, 8, 1], [2^(1/2) < v, And((v^2-2)^
(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)]
, [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [2, 2], [1181835/
262144, 4727341/1048576], [-3, -3]]]], [[11, 13, 11, 8, 2], [2^(1/2) < v, And(
(v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y = x-u^2+v^2+1, z = -(-u^2+v^2+1
)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [2, 2], [
1181835/262144, 4727341/1048576], [-3321417/2097152, -415177/262144]]]], [[11,
13, 11, 8, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x,
y = x-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], [2, 2], [1181835/
262144, 4727341/1048576], [0, 0]]]], [[11, 13, 11, 8, 4], [2^(1/2) < v, And((v
^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y = x-u^2+v^2+1, z = (-u^2+v^2+1)^(
1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [2, 2], [
1181835/262144, 4727341/1048576], [415177/262144, 1660709/1048576]]]], [[11, 
13, 11, 8, 5], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x,
y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [2, 2], [1181835/262144, 4727341/1048576], [3, 3]]]],
[[11, 20, 2, 3, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -3, And(-4 < y,y < -3
), z = z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-3, -3
], [-7/2, -7/2], [0, 0]]]], [[11, 21, 7, 1, 1], [2^(1/2) < v, (v^2+2)^(1/2) <
u, And(0 < x,x < 1), y < x-u^2+v^2+1, z = z], [regular_chain, [[3, 3], [5, 5],
[1/2, 1/2], [-16, -16], [0, 0]]]], [[1, 4, 4, 3, 1], [v < -2^(1/2), u = -(v^2+
1)^(1/2), x = -1, And(-1 < y,y < 0), z < -(y+1)^(1/2)], [regular_chain, [[-3,
-3], [-3315889/1048576, -207243/65536], [-1, -1], [-1/2, -1/2], [-2, -2]]]], [
[1, 4, 4, 3, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = -1, And(-1 < y,y < 0),
z = -(y+1)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536
], [-1, -1], [-1/2, -1/2], [-1482911/2097152, -741455/1048576]]]], [[1, 4, 4,
3, 3], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), And(-(y+1
)^(1/2) < z,z < (y+1)^(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 = (y+1)^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-1, -1], [-1/2,
-1/2], [741455/1048576, 46341/65536]]]], [[1, 4, 4, 3, 5], [v < -2^(1/2), u =
-(v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), (y+1)^(1/2) < z], [regular_chain, [
[-3, -3], [-3315889/1048576, -207243/65536], [-1, -1], [-1/2, -1/2], [2, 2]]]]
, [[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-u^2+v^2+1 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain,
[[-3, -3], [-403851/131072, -403851/131072], [1/2, 1/2], [3/2, 3/2], [-2, -2]]
]], [[1, 5, 9, 7, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,
x < 1), And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1/2, 1/2], [3/2,
3/2], [-1, -1]]]], [[1, 5, 9, 7, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u <
v), And(0 < x,x < 1), And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[1, 5, 9, 7, 4], [v < -2^(1/2), 
And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), And(x-u^2+v^2+1 < y,y < u^2-v
^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851
/131072], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[1, 5, 9, 7, 5], [v < -2^(1/2),
And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), And(x-u^2+v^2+1 < y,y < u^2-v
^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -403851
/131072], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[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 = 0, z
= z], [regular_chain, [[-3, -3], [0, 0], [9/2, 9/2], [0, 0], [0, 0]]]], [[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 < 0), z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [
[-3, -3], [1435023/524288, 1435023/524288], [-5260377/2097152, -657547/262144]
, [-657547/524288, -657547/524288], [-3, -3]]]], [[1, 13, 2, 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^2-1 <
y,y < 0), z = -(y-u^2+v^2+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, 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
^2-1 < y,y < 0), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-5260377/2097152,
-657547/262144], [-657547/524288, -657547/524288], [0, 0]]]], [[1, 13, 2, 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^2-1 < y,y < 0), z = (y-u^2+v^2+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, 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^2-1 < y,y < 0), (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [-5260377/2097152, -657547/262144], [-657547/
524288, -657547/524288], [3, 3]]]], [[1, 17, 9, 5, 1], [v < -2^(1/2), And(-v <
u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(x < y,y < x-u^2+v^2+1), z < -(y-x)
^(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(x < y,y < x-u^2+v^2+1)
, z = -(y-x)^(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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(
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(x < y,y
< x-u^2+v^2+1), z = (y-x)^(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(x < y,y < x-u^2+v^2+1), (y-x)^(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 = -1, z < 0], [regular_chain, [[-3,
-3], [3396811/1048576, 3396811/1048576], [-1, -1], [-1, -1], [-1, -1]]]], [[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 = -1, z = 0], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576],
[-1, -1], [-1, -1], [0, 0]]]], [[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 = -1, 0 < z], [regular_chain, [[-3, -3]
, [3396811/1048576, 3396811/1048576], [-1, -1], [-1, -1], [1, 1]]]], [[2, 3, 7
, 7, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), And(x
< y,y < u^2+x-1), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3913339/2097152, -3913339/2097152], [505467/2097152, 505467/
2097152], [1554043/1048576, 1554043/1048576], [-3, -3]]]], [[2, 3, 7, 7, 2], [
v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), And(x < y,y < u^
2+x-1), z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-3913339/2097152, -3913339/2097152], [505467/2097152, 505467/2097152], [
1554043/1048576, 1554043/1048576], [-4563/4096, -1168127/1048576]]]], [[2, 3,
7, 7, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), And(x
< y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [
505467/2097152, 505467/2097152], [1554043/1048576, 1554043/1048576], [0, 0]]]]
, [[2, 3, 7, 7, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2
-3), And(x < y,y < u^2+x-1), z = (y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [505467/
2097152, 505467/2097152], [1554043/1048576, 1554043/1048576], [1168127/1048576
, 4563/4096]]]], [[2, 3, 7, 7, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), 
And(0 < x,x < u^2-3), And(x < y,y < u^2+x-1), (y-x)^(1/2) < z], [regular_chain
, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [
505467/2097152, 505467/2097152], [1554043/1048576, 1554043/1048576], [3, 3]]]]
, [[2, 5, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 4, 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], [-5332835/2097152, -2666417/1048576], [-\
2, -2]]]], [[2, 7, 1, 4, 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], [-5332835/2097152, -\
2666417/1048576], [-1417877/2097152, -354469/524288]]]], [[2, 7, 1, 4, 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], [-5332835/2097152, -2666417/
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-1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [-3, -3], [-5332835/
2097152, -2666417/1048576], [354469/524288, 708939/1048576]]]], [[2, 7, 1, 4,
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], [-5332835/2097152, -2666417/1048576], [2, 2]]]], [
[2, 8, 4, 2, 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, 2, 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, 2, 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, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = -2^(1/2
), And(-v < u,u < 3^(1/2)), And(0 < x,x < 1), And(x < y,y < x-u^2+3), z < -(y-
x)^(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(x < y,y < x-u^2+3), z = -(y-x)^(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(x
< y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y <
x-u^2+3), z = (y-x)^(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(x < y,y < x-u^2+3), (y-x)^(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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2-v^2+x+1)
, z = (y-x)^(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(x < y,y < u^2-v^2+x+1), (y-x)^(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 = 0, z < -(-x)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-2, -2], [0, 0], [-3, -3]]]], [[3, 2, 3, 6, 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, 6, 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, 6, 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, 6, 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, 4, 2, 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, 2, 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, 2, 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, 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 = x, z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152], [763943/1048576,
95493/131072], [-1, -1]]]], [[3, 9, 9, 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], [1527887/
2097152, 1527887/2097152], [763943/1048576, 95493/131072], [0, 0]]]], [[3, 9,
9, 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], [1527887/2097152, 1527887/2097152], [763943/
1048576, 95493/131072], [1, 1]]]], [[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 < -1), z = z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1, -1], [-8957873/2097152,
-8957873/2097152], [0, 0]]]], [[4, 1, 6, 2, 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, 3, 1], [v = -1, And(-1 < u,u < 0), x = -u^2, And(-u^2 < y,y
< 0), 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, 3, 2], [v = -1, And(-1 < u,u < 0), x
= -u^2, And(-u^2 < y,y < 0), 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, 3, 3], [v = -1, And(-1 < u,u < 0), x = -u^2, And(-u^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], [-1/8, -1/8], [0, 0]]]], [[4, 7, 6, 3, 4], [v = -1, And(-\
1 < u,u < 0), x = -u^2, And(-u^2 < y,y < 0), 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, 3, 5], [v = -1, And(-1 < u,u < 0), x = -
u^2, And(-u^2 < y,y < 0), (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, 1, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 9, 1], [v = -1, 
And(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), u^2+x < y, z < -(y-x)^(1/2
)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [497805/
2097152, 497805/2097152], [4, 4], [-3, -3]]]], [[4, 13, 7, 9, 2], [v = -1, And
(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), u^2+x < y, z = -(y-x)^(1/2)],
[regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [497805/2097152
, 497805/2097152], [4, 4], [-32543597/16777216, -8135899/4194304]]]], [[4, 13,
7, 9, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), u^2+x <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [3299097
/2097152, 3299097/2097152], [497805/2097152, 497805/2097152], [4, 4], [-3/
8388608, -3/8388608]]]], [[4, 13, 7, 9, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/
2)), And(0 < x,x < u^2-2), u^2+x < y, z = (y-x)^(1/2)], [regular_chain, [[-1,
-1], [3299097/2097152, 3299097/2097152], [497805/2097152, 497805/2097152], [4,
4], [1016987/524288, 2033975/1048576]]]], [[4, 13, 7, 9, 5], [v = -1, And(2^(1
/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), u^2+x < y, (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [497805/2097152,
497805/2097152], [4, 4], [3, 3]]]], [[4, 15, 1, 1, 1], [v = -1, 3^(1/2) < u, x
< -u^2, y < x-u^2+2, z = z], [regular_chain, [[-1, -1], [3, 3], [-10, -10], [-\
18, -18], [0, 0]]]], [[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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)
], [regular_chain, [[-1/2, -1/2], [0, 0], [-9/8, -9/8], [-3/4, -3/4], [-2, -2]
]]], [[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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 3, 3], [And(-1 < v,v < 0), And(v < u,u < -v), And(u^2-
v^2-1 < x,x < -1), And(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^
(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [-9/8, -9/8], [-3/4, -3/4], [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(x < y,y < u^2-v^2+x+1), z = (y-x)^(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, 3, 5], [And(-1 < v,v < 0), And(v < u,u < -v), And(u^2-v
^2-1 < x,x < -1), And(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain
, [[-1/2, -1/2], [0, 0], [-9/8, -9/8], [-3/4, -3/4], [2, 2]]]], [[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], [-1672995/1048576, -3345989/2097152], [-3
, -3]]]], [[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], [-1672995/1048576, -\
3345989/2097152], [-19417/16384, -1242687/1048576]]]], [[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], [-1672995/1048576, -3345989
/2097152], [0, 0]]]], [[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], [-\
1672995/1048576, -3345989/2097152], [1242687/1048576, 19417/16384]]]], [[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], [-1672995/1048576, -3345989/2097152], [3
, 3]]]], [[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(0 < y,y < x-1), z = z], [regular_chain, [[0
, 0], [-1482911/1048576, -741455/524288], [2, 2], [1/2, 1/2], [0, 0]]]], [[6,
4, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 7, 1], [v = 0, And(1 < u,u < 2^(1/2)), x < -u^2-1, And(u^2+x
+1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [-4, -4], [-1617841/2097152, -1617841/2097152], [-3, -3]]]],
[[6, 9, 1, 7, 2], [v = 0, And(1 < u,u < 2^(1/2)), x < -u^2-1, And(u^2+x+1 < y,
y < 0), z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [-4, -4], [-1617841/2097152, -1617841/2097152], [-471025/262144, -\
7536399/4194304]]]], [[6, 9, 1, 7, 3], [v = 0, And(1 < u,u < 2^(1/2)), x < -u^
2-1, And(u^2+x+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-4, -4], [-\
1617841/2097152, -1617841/2097152], [-3/8388608, -3/8388608]]]], [[6, 9, 1, 7,
4], [v = 0, And(1 < u,u < 2^(1/2)), x < -u^2-1, And(u^2+x+1 < y,y < 0), z = (y
-x)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-4,
-4], [-1617841/2097152, -1617841/2097152], [1884099/1048576, 471025/262144]]]]
, [[6, 9, 1, 7, 5], [v = 0, And(1 < u,u < 2^(1/2)), x < -u^2-1, And(u^2+x+1 <
y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[0, 0], [1265743/1048576, 1265743
/1048576], [-4, -4], [-1617841/2097152, -1617841/2097152], [3, 3]]]], [[6, 10,
3, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 4, 9, 2, 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, 2, 5, 1], [And(0 < v,v < 1), u = -v, x = -1,
0 < y, z < -(y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1, -1],
[1, 1], [-3, -3]]]], [[7, 6, 2, 5, 2], [And(0 < v,v < 1), u = -v, x = -1, 0 <
y, z = -(y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1, -1], [1,
1], [-1482911/1048576, -741455/524288]]]], [[7, 6, 2, 5, 3], [And(0 < v,v < 1)
, u = -v, x = -1, 0 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1, -1], [1, 1], [0, 0]]]], [[7, 6,
2, 5, 4], [And(0 < v,v < 1), u = -v, x = -1, 0 < y, z = (y+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1, -1], [1, 1], [741455/524288, 
1482911/1048576]]]], [[7, 6, 2, 5, 5], [And(0 < v,v < 1), u = -v, x = -1, 0 <
y, (y+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1, -1], [1,
1], [3, 3]]]], [[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(0 < y,y < x), 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 < x-1, z = z], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [-4, -4], [-6, -6], [0, 0]]]], [[8, 7, 11, 5, 1], [v = 1, 
And(-1 < u,u < 0), 1 < x, And(x < y,y < u^2+x), z < -(y-x)^(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(x < y,y < u^2+x), z = -(y-
x)^(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(x < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2+x), z = (y-x)^(
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(x < y,y < u^2+x), (y-x)^(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 < x, z = z], [regular_chain, [[1, 1], [1/2, 1/2], [-1
/8, -1/8], [-2, -2], [0, 0]]]], [[8, 14, 2, 2, 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, 6, 7, 1], [v = 1, 3^(1/2) < u, x = 0, u
^2 < y, z < -y^(1/2)], [regular_chain, [[1, 1], [3, 3], [0, 0], [10, 10], [-5,
-5]]]], [[8, 15, 6, 7, 2], [v = 1, 3^(1/2) < u, x = 0, u^2 < y, z = -y^(1/2)],
[regular_chain, [[1, 1], [3, 3], [0, 0], [10, 10], [-3315889/1048576, -207243/
65536]]]], [[8, 15, 6, 7, 3], [v = 1, 3^(1/2) < u, x = 0, u^2 < y, And(-y^(1/2
) < z,z < y^(1/2))], [regular_chain, [[1, 1], [3, 3], [0, 0], [10, 10], [0, 0]
]]], [[8, 15, 6, 7, 4], [v = 1, 3^(1/2) < u, x = 0, u^2 < y, z = y^(1/2)], [
regular_chain, [[1, 1], [3, 3], [0, 0], [10, 10], [207243/65536, 3315889/
1048576]]]], [[8, 15, 6, 7, 5], [v = 1, 3^(1/2) < u, x = 0, u^2 < y, y^(1/2) <
z], [regular_chain, [[1, 1], [3, 3], [0, 0], [10, 10], [5, 5]]]], [[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-u
^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [2655491/1048576, 
663873/262144], [-2, -2]]]], [[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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [2, 2], [2655491/1048576, 663873/262144], [-1530309/2097152,
-382577/524288]]]], [[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-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], [2, 2], [2655491/1048576, 663873/262144],
[0, 0]]]], [[9, 5, 11, 6, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,
u < -v), 1 < x, y = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [2, 2
], [2655491/1048576, 663873/262144], [382577/524288, 765155/1048576]]]], [[9,
5, 11, 6, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x,
y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [2655491/
1048576, 663873/262144], [2, 2]]]], [[9, 7, 8, 7, 1], [And(1 < v,v < 2^(1/2)),
And(-v < u,u < -(v^2-1)^(1/2)), x = 0, -u^2+v^2+1 < y, z < -y^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [0, 0], [3, 3], [-3, -3]]]], [[9, 7, 8, 7, 2], [And(1 < v,v
< 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 0, -u^2+v^2+1 < y, 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, 7, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 0,
-u^2+v^2+1 < y, 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, 7, 4], [And(1 < v,v < 2^(1/2)), And
(-v < u,u < -(v^2-1)^(1/2)), x = 0, -u^2+v^2+1 < y, 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, 7, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 0, -u^2
+v^2+1 < y, y^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3949363/4194304, -3949363/4194304], [0, 0], [3, 3], [3, 3]]]], [[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 < x), z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-1/2, -1/2], [-24446187/33554432, -\
24446187/33554432], [0, 0]]]], [[9, 10, 9, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 3, 1], [And(1
< v,v < 2^(1/2)), u = (v^2+2)^(1/2), 1 < x, And(0 < y,y < x-1), z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [2, 2], [1/2, 1/2], [0, 0]]]], [[10, 1, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 4, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-1 < x,x < u^2-3), y
= x-u^2+3, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [-799673/1048576, -799673/
1048576], [-31113/131072, -248903/1048576], [-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 = x-u^2+3, z = -
(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [-799673/1048576, -799673/1048576], [-31113/131072
, -248903/1048576], [-379975/524288, -1519899/2097152]]]], [[10, 5, 5, 4, 3],
[v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-1 < x,x < u^2-3), y = x-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], [-799673/1048576, -\
799673/1048576], [-31113/131072, -248903/1048576], [-1/4194304, -1/4194304]]]]
, [[10, 5, 5, 4, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-1 < x,x < u^
2-3), y = x-u^2+3, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-799673/1048576, -\
799673/1048576], [-31113/131072, -248903/1048576], [759949/1048576, 379975/
524288]]]], [[10, 5, 5, 4, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-1
< x,x < u^2-3), y = x-u^2+3, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-799673/
1048576, -799673/1048576], [-31113/131072, -248903/1048576], [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 <
0), z < -(y-u^2+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, 5, 2], [v = 2^(1/2)
, And(-v < u,u < -1), x = u^2-3, And(2*u^2-4 < y,y < 0), z = -(y-u^2+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, 5, 3], [v = 2^(1/2), 
And(-v < u,u < -1), x = u^2-3, And(2*u^2-4 < y,y < 0), And(-(y-u^2+3)^(1/2) <
z,z < (y-u^2+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, 5, 4], [v = 2^(1/2),
And(-v < u,u < -1), x = u^2-3, And(2*u^2-4 < y,y < 0), z = (y-u^2+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, 5, 5], [v = 2^(1/2), And(-v < u
,u < -1), x = u^2-3, And(2*u^2-4 < y,y < 0), (y-u^2+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, 2, 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, 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 = z], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [-1, -1], [-2, -2], [0, 0]]]], [[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, 2*u^2-\
2*v^2 < y, z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [129511/262144, 518045/1048576], [4, 4], [-3, -3]]
]], [[11, 3, 8, 7, 2], [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 = -(y-u^2+v^2+1)^(1/2)], [regular_chain,
[[3, 3], [-3396811/1048576, -3396811/1048576], [129511/262144, 518045/1048576]
, [4, 4], [-7853497/4194304, -981687/524288]]]], [[11, 3, 8, 7, 3], [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,
And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3
], [-3396811/1048576, -3396811/1048576], [129511/262144, 518045/1048576], [4,
4], [0, 0]]]], [[11, 3, 8, 7, 4], [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 = (y-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [129511/262144,
518045/1048576], [4, 4], [981687/524288, 1963375/1048576]]]], [[11, 3, 8, 7, 5
], [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, (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [129511/262144, 518045/1048576], [4, 4], [3, 3]]]]
, [[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 = u^2-v^2+2, z = z], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [1, 1], [128885/262144, 515541/1048576], [0, 0]]]], [[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), x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3
], [0, 0], [-11/2, -11/2], [6, 6], [-5, -5]]]], [[11, 11, 3, 9, 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), x-u^2
+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-11/2, -11/2]
, [6, 6], [-3555895/1048576, -1777947/524288]]]], [[11, 11, 3, 9, 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), x-u
^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3],
[0, 0], [-11/2, -11/2], [6, 6], [0, 0]]]], [[11, 11, 3, 9, 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), x-u^2+v^
2+1 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-11/2, -11/2], [6
, 6], [1777947/524288, 3555895/1048576]]]], [[11, 11, 3, 9, 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), x-u^2+v^
2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [0, 0], [-11/2, -11/2], [6
, 6], [5, 5]]]], [[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(-u^2+v^2-1 < y,y < 0), 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,
3, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, And(-u^2+v^
2-1 < y,y < 0), 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, 3, 3], [2
^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, And(-u^2+v^2-1 < 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]
, [-516571/2097152, -516571/2097152], [0, 0]]]], [[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(-u^2+v^2-1 < y,y < 0),
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, 3, 5], [2^(1/2) < v, And((v^
2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, And(-u^2+v^2-1 < y,y < 0), (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, 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 = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [0, 0], [-3, -3]
]]], [[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 = 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, 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 = 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, 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 = 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, 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 = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [0, 0], [3, 3]]]
], [[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 < 0), z = z], [regular_chain, [[-3, -3], [-5, -5], [1, 1], [-7, -7], [0,
0]]]], [[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 = x, z < 0], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [-4, -4], [-4, -4], [-1, -1]]]], [[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 =
x, z = 0], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-\
4, -4], [-4, -4], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-\
3, -3], [-3396811/1048576, -3396811/1048576], [-4, -4], [-4, -4], [1, 1]]]], [
[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(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain
, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-7357527/4194304, -\
7357527/4194304], [-7357527/8388608, -7357527/8388608], [-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(x < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3
], [-22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304
], [-7357527/8388608, -7357527/8388608], [-7856171/8388608, -3928085/4194304]]
]], [[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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [
-7357527/4194304, -7357527/4194304], [-7357527/8388608, -7357527/8388608], [-1
/8388608, -1/8388608]]]], [[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(x < y,y < 0), z = (y-x
)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [
-7357527/4194304, -7357527/4194304], [-7357527/8388608, -7357527/8388608], [
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(x < y,y < 0),
(y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [-7357527/4194304, -7357527/4194304], [-7357527/8388608, -7357527/
8388608], [2, 2]]]], [[1, 10, 5, 4, 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, 4, 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, 4, 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, 8, 2, 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, 1,
5, 1], [v < -2^(1/2), u = -v, x < -1, And(x+1 < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [3, 3], [-2, -2], [-1/2, -1/2], [-3, -3]]]], [[1, 16
, 1, 5, 2], [v < -2^(1/2), u = -v, x < -1, And(x+1 < y,y < 0), z = -(y-x)^(1/2
)], [regular_chain, [[-3, -3], [3, 3], [-2, -2], [-1/2, -1/2], [-1284239/
1048576, -642119/524288]]]], [[1, 16, 1, 5, 3], [v < -2^(1/2), u = -v, x < -1,
And(x+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
-3, -3], [3, 3], [-2, -2], [-1/2, -1/2], [0, 0]]]], [[1, 16, 1, 5, 4], [v < -2
^(1/2), u = -v, x < -1, And(x+1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain,
[[-3, -3], [3, 3], [-2, -2], [-1/2, -1/2], [642119/524288, 1284239/1048576]]]]
, [[1, 16, 1, 5, 5], [v < -2^(1/2), u = -v, x < -1, And(x+1 < y,y < 0), (y-x)^
(1/2) < z], [regular_chain, [[-3, -3], [3, 3], [-2, -2], [-1/2, -1/2], [3, 3]]
]], [[2, 1, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = -2^(1/2), u = -2, And(-3 < x,x < -1), And(0 < y,y < x+3),
z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -\
2], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[2, 2, 3, 7, 2], [v = -2^(1/2), u = -2
, And(-3 < x,x < -1), And(0 < y,y < x+3), z = -(y-x)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [-2, -2], [-2, -2], [1/2, 1/2], [-3315889/
2097152, -207243/131072]]]], [[2, 2, 3, 7, 3], [v = -2^(1/2), u = -2, And(-3 <
x,x < -1), And(0 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-2, -2], [1/2,
1/2], [0, 0]]]], [[2, 2, 3, 7, 4], [v = -2^(1/2), u = -2, And(-3 < x,x < -1),
And(0 < y,y < x+3), z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-2, -2], [-2, -2], [1/2, 1/2], [207243/131072, 1657945/
1048576]]]], [[2, 2, 3, 7, 5], [v = -2^(1/2), u = -2, And(-3 < x,x < -1), And(
0 < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-2, -2], [-2, -2], [1/2, 1/2], [3, 3]]]], [[2, 9, 9, 5, 1], [v = -2^
(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), And(u^2+x-1 < y,y < x), 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(-1 < y,y < 0), z < -(y+
1)^(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(-1 < y,y < 0), z = -(y+
1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [501965/2097152, 501965/2097152], [
125491/524288, 250983/1048576], [-1, -1]]]], [[3, 3, 7, 6, 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], [
125491/524288, 250983/1048576], [0, 0]]]], [[3, 3, 7, 6, 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], [
125491/524288, 250983/1048576], [1, 1]]]], [[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 < 0), z < -(u^2-v^2+y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1538813/1048576, -\
384703/262144], [-3921893/8388608, -3921893/8388608], [-3, -3]]]], [[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 < 0), z = -(u^2-v^2+y+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
1538813/1048576, -384703/262144], [-3921893/8388608, -3921893/8388608], [-\
1048577/1048576, -1]]]], [[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 < 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], [-3921893/8388608, -3921893/8388608], [0, 0]]]], [[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 < 0), z = (u^2-v^2+y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1538813/1048576, -384703/262144], [-3921893/8388608, -\
3921893/8388608], [1, 1048577/1048576]]]], [[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 < 0), (u^2-v^2+y+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-5818805/4194304, -5818805/4194304], [-1538813/1048576, -384703/
262144], [-3921893/8388608, -3921893/8388608], [3, 3]]]], [[3, 11, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3, -3], [-1433279/524288, -1433279/524288], [-2, -2]]]], [
[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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(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, 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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/
2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576,
1454701/1048576], [-3, -3], [-1433279/524288, -1433279/524288], [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(x < y,y < x-u^2+v^2+1), z = (y-x)^(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, 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(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -\
3], [-1433279/524288, -1433279/524288], [2, 2]]]], [[3, 14, 6, 3, 1], [And(-2^
(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = 0, And(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < x-u^2+v^2+1), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [2, 2], [797593/1048576, 797593/1048576], [0, 0]]]], [[4, 4, 4, 3, 1]
, [v = -1, u = -2^(1/2), x = -1, And(-1 < y,y < 0), z < -(y+1)^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-1, -1], [-1/2,
-1/2], [-2, -2]]]], [[4, 4, 4, 3, 2], [v = -1, u = -2^(1/2), x = -1, And(-1 <
y,y < 0), z = -(y+1)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -\
741455/524288], [-1, -1], [-1/2, -1/2], [-1482911/2097152, -741455/1048576]]]]
, [[4, 4, 4, 3, 3], [v = -1, u = -2^(1/2), x = -1, And(-1 < y,y < 0), And(-(y+
1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(1/2)], [regular_chain, [[-\
1, -1], [-1482911/1048576, -741455/524288], [-1, -1], [-1/2, -1/2], [741455/
1048576, 46341/65536]]]], [[4, 4, 4, 3, 5], [v = -1, u = -2^(1/2), x = -1, And
(-1 < y,y < 0), (y+1)^(1/2) < z], [regular_chain, [[-1, -1], [-1482911/1048576
, -741455/524288], [-1, -1], [-1/2, -1/2], [2, 2]]]], [[4, 5, 9, 7, 1], [v = -\
1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), And(x-u^2+2 < y,y < u^2+x), z <
-(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576]
, [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[4, 5, 9, 7, 2], [v = -1, And(-2^(1/2)
< u,u < -1), And(0 < x,x < 1), And(x-u^2+2 < y,y < u^2+x), z = -(y-x)^(1/2)],
[regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [
3/2, 3/2], [-1, -1]]]], [[4, 5, 9, 7, 3], [v = -1, And(-2^(1/2) < u,u < -1), 
And(0 < x,x < 1), And(x-u^2+2 < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [1/2,
1/2], [3/2, 3/2], [0, 0]]]], [[4, 5, 9, 7, 4], [v = -1, And(-2^(1/2) < u,u < -\
1), And(0 < x,x < 1), And(x-u^2+2 < y,y < u^2+x), z = (y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [3
/2, 3/2], [1, 1]]]], [[4, 5, 9, 7, 5], [v = -1, And(-2^(1/2) < u,u < -1), And(
0 < x,x < 1), And(x-u^2+2 < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[
-1, -1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [3/2, 3/2], [2, 2]]
]], [[4, 10, 6, 6, 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, 6, 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, 6, 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,
6, 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, 6, 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,
2, 2, 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, 2, 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, 2, 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, 3, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(x-1
< 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, 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-u^2+v^2+1, z = z], [regular_chain, [
[-1/2, -1/2], [-343151/262144, -343151/262144], [2, 2], [1611109/1048576, 
805555/524288], [0, 0]]]], [[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), u^2-v^2+x+1 < y, z < -
(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [
1534619/2097152, 1534619/2097152], [5, 5], [-4, -4]]]], [[5, 11, 9, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-v^2+x+
1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2],
[343151/262144, 343151/262144], [1534619/2097152, 1534619/2097152], [5, 5], [0
, 0]]]], [[5, 11, 9, 9, 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), u^2-v^2+x+1 < y, z = (y-x)^(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, 9
, 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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/
2], [343151/262144, 343151/262144], [1534619/2097152, 1534619/2097152], [5, 5]
, [4, 4]]]], [[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 < x-u^2+v^2+1, z = z], [regular_chain, [[-1/2, -1/2], [
3, 3], [-43/8, -43/8], [-15, -15], [0, 0]]]], [[6, 5, 8, 2, 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, 2, 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, 2, 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, 4, 8,
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, 8, 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, 8, 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, 8, 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, 8, 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]]]], [[6, 11, 8, 1, 1], [v =
0, 2^(1/2) < u, x = 1, y < -u^2+2, z = z], [regular_chain, [[0, 0], [3, 3], [1
, 1], [-8, -8], [0, 0]]]], [[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 < -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [35/8, 35/8], [16, 16], [-5, -5]]]], [[7
, 1, 9, 9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [
35/8, 35/8], [16, 16], [-27931/8192, -3575167/1048576]]]], [[7, 1, 9, 9, 3], [
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, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-3, -\
3], [35/8, 35/8], [16, 16], [0, 0]]]], [[7, 1, 9, 9, 4], [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 = (y-x)^(1/2)],
[regular_chain, [[1/2, 1/2], [-3, -3], [35/8, 35/8], [16, 16], [3575167/
1048576, 27931/8192]]]], [[7, 1, 9, 9, 5], [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, (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-3, -3], [35/8, 35/8], [16, 16], [5, 5]]]], [[7,
7, 10, 1, 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], [-1, -1], [0, 0]]]], [[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 < 2*u^2-2*v^2), z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152], [
424157/1048576, 424157/1048576], [-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 < 2*u^2-2*v^2), z
= -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-624419/1048576, -1248837/2097152], [424157/1048576, 424157
/1048576], [-549755706347/549755813888, -4398045650775/4398046511104]]]], [[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 < 2*u^2-2*v^2), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/
2))], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-\
624419/1048576, -1248837/2097152], [424157/1048576, 424157/1048576], [-3333975
/8796093022208, -3333975/8796093022208]]]], [[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 < 2*u^2-2*v^2), z
= (y-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631
/2097152], [-624419/1048576, -1248837/2097152], [424157/1048576, 424157/
1048576], [1048575/1048576, 1]]]], [[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 < 2*u^2-2*v^2), (y-u^2+v^2+
1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152]
, [-624419/1048576, -1248837/2097152], [424157/1048576, 424157/1048576], [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 = 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, 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], [-\
1815885/1048576, -1815885/1048576], [-1815885/1048576, -1815885/1048576], [0,
0]]]], [[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 = 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, 7, 1], [And(0 < v,v
< 1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), z < -(y-x)^(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, 7, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-1 < x,x <
0), And(0 < y,y < x+3), z = -(y-x)^(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
, 7, 3], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y
< x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 4], [And(0 < v,
v < 1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), z = (y-x)^(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, 7, 5], [And(0 < v,v < 1), u = (v^
2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), (y-x)^(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, 8, 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, 8, 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, 8, 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, 8,
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, 8, 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, 6, 5, 5,
1], [v = 1, u = -1, And(0 < x,x < 1), And(x < y,y < x+1), z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [-1, -1], [1/2, 1/2], [1, 1], [-2, -2]]]], [[8, 6, 5,
5, 2], [v = 1, u = -1, And(0 < x,x < 1), And(x < y,y < x+1), z = -(y-x)^(1/2)]
, [regular_chain, [[1, 1], [-1, -1], [1/2, 1/2], [1, 1], [-1482911/2097152, -\
741455/1048576]]]], [[8, 6, 5, 5, 3], [v = 1, u = -1, And(0 < x,x < 1), And(x
< y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1],
[-1, -1], [1/2, 1/2], [1, 1], [0, 0]]]], [[8, 6, 5, 5, 4], [v = 1, u = -1, And
(0 < x,x < 1), And(x < y,y < x+1), z = (y-x)^(1/2)], [regular_chain, [[1, 1],
[-1, -1], [1/2, 1/2], [1, 1], [741455/1048576, 46341/65536]]]], [[8, 6, 5, 5,
5], [v = 1, u = -1, And(0 < x,x < 1), And(x < y,y < x+1), (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [-1, -1], [1/2, 1/2], [1, 1], [2, 2]]]], [[8, 11, 5, 1
, 1], [v = 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), y < x, z = z], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3235683/4194304,
-3235683/4194304], [-2, -2], [0, 0]]]], [[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(0 < y,y < u^2-v^
2+x+1), z < -(y-x)^(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, 7, 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 < u^2-v^2+x+1), z = -(y-x)^(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, 7, 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 < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 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 < u^2-v^2+x+1), z = (y-x)^
(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, 7, 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 < u^2-v^2+x+1), (y-x)^(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, 6, 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, 6, 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, 6, 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
, 6, 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, 6, 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, 2, 4, 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, 4, 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, 4, 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, 4,
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, 4, 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, 10, 5
, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 1, And(1 < y,
y < -u^2+v^2+2), 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(1 < y,y < -u^2+v^2+2), 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(1 < 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], [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(1
< y,y < -u^2+v^2+2), 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(1 < y,y < -u^2+v^2+
2), (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 = -1, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1, -1], [-1, -1]
, [-1, -1]]]], [[10, 2, 4, 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, 4, 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, 3, 9, 2, 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, 7, 1], [v = 2^(1/2), u = -1, x = -1, 1 < y, z
< -(y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1],
[-1, -1], [2, 2], [-3, -3]]]], [[10, 8, 4, 7, 2], [v = 2^(1/2), u = -1, x = -1
, 1 < y, z = -(y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1, -1], [-1, -1], [2, 2], [-1816187/1048576, -3632373/2097152]]]], [[10, 8,
4, 7, 3], [v = 2^(1/2), u = -1, x = -1, 1 < y, And(-(y+1)^(1/2) < z,z < (y+1)^
(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1, -1]
, [2, 2], [-1/4194304, -1/4194304]]]], [[10, 8, 4, 7, 4], [v = 2^(1/2), u = -1
, x = -1, 1 < y, z = (y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [-1, -1], [2, 2], [908093/524288, 1816187/1048576]]]], [[
10, 8, 4, 7, 5], [v = 2^(1/2), u = -1, x = -1, 1 < y, (y+1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1, -1], [2, 2],
[3, 3]]]], [[10, 9, 10, 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, 10, 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, 10, 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, 15, 10, 3, 1], [v = 2
^(1/2), And(v < u,u < 3^(1/2)), x = 1, And(0 < y,y < 1), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [1, 1], [1/2, 1/2], [0, 0]]]], [[10, 17, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 1], [v = 2^(1/2), u = 2, 1 < x, And(0 < y,y < x-1), z
= z], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [2, 2], [1/2,
1/2], [0, 0]]]], [[11, 1, 2, 6, 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, 6, 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, 6, 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, 6, 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,
6, 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, 2, 1, 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 = z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-3161161/2097152, -395145/262144], [-3, -3], [0, 0]]]], [[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+2)
, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [-1/2, -1/2], [3/4, 3/4], [-3, -3]]]], [[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+2), z = -(y-x)^(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, 5, 3], [2^(1
/2) < v, u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), And(-(y-x)
^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [-1/2, -1/2], [3/4, 3/4], [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+2), z = (y-x
)^(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, 5, 5],
[2^(1/2) < v, u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), (y-x)
^(1/2) < z], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [
-1/2, -1/2], [3/4, 3/4], [3, 3]]]], [[11, 12, 7, 4, 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, 9, 1], [2^(
1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, x-u^2+v^2+1 < y, z
< -(y-x)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [2
, 2], [6, 6], [-3, -3]]]], [[11, 13, 11, 9, 2], [2^(1/2) < v, And((v^2-2)^(1/2
) < u,u < (v^2-1)^(1/2)), 1 < x, x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [2, 2], [6, 6], [-2,
-2]]]], [[11, 13, 11, 9, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(
1/2)), 1 < x, x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [2, 2], [6, 6], [0,
0]]]], [[11, 13, 11, 9, 4], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1
/2)), 1 < x, x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [2, 2], [6, 6], [2, 2]]]], [[11, 13, 11, 9, 5
], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, x-u^2+v^2+1
< y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [2, 2], [6, 6], [3, 3]]]], [[11, 20, 2, 2, 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, 6, 7, 1], [2^(1/2) <
v, (v^2+2)^(1/2) < u, x = 0, u^2-v^2+1 < y, z < -y^(1/2)], [regular_chain, [[3
, 3], [5, 5], [0, 0], [18, 18], [-6, -6]]]], [[11, 21, 6, 7, 2], [2^(1/2) < v,
(v^2+2)^(1/2) < u, x = 0, u^2-v^2+1 < y, z = -y^(1/2)], [regular_chain, [[3, 3
], [5, 5], [0, 0], [18, 18], [-1112183/262144, -4448731/1048576]]]], [[11, 21,
6, 7, 3], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 0, u^2-v^2+1 < y, And(-y^(1/2)
< z,z < y^(1/2))], [regular_chain, [[3, 3], [5, 5], [0, 0], [18, 18], [0, 0]]]
], [[11, 21, 6, 7, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 0, u^2-v^2+1 < y,
z = y^(1/2)], [regular_chain, [[3, 3], [5, 5], [0, 0], [18, 18], [4448731/
1048576, 1112183/262144]]]], [[11, 21, 6, 7, 5], [2^(1/2) < v, (v^2+2)^(1/2) <
u, x = 0, u^2-v^2+1 < y, y^(1/2) < z], [regular_chain, [[3, 3], [5, 5], [0, 0]
, [18, 18], [6, 6]]]], [[1, 4, 4, 2, 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, 2, 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, 2, 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, 9
, 6, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), y = x
-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [1/2, 1/2], [131935/131072, 1055481/1048576], [-2, -2
]]]], [[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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3]
, [-403851/131072, -403851/131072], [1/2, 1/2], [131935/131072, 1055481/
1048576], [-373161/524288, -1492643/2097152]]]], [[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-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], [1/2, 1/2], [131935/131072, 1055481/1048576],
[-1/4194304, -1/4194304]]]], [[1, 5, 9, 6, 4], [v < -2^(1/2), And(-(v^2+1)^(1/
2) < u,u < v), And(0 < x,x < 1), y = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1/2, 1/2], [
131935/131072, 1055481/1048576], [746321/1048576, 373161/524288]]]], [[1, 5, 9
, 6, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), y = x
-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [1/2, 1/2], [131935/131072, 1055481/1048576], [2, 2]]
]], [[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(0 < y,y < x), 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 = 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, 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 = 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, 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 = 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, 6, 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, 6, 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, 17, 9, 4, 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, 4, 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, 4, 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, 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 <
-1), z = z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-\
1, -1], [-653799/524288, -653799/524288], [0, 0]]]], [[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-1, z < -(u^2
-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [505467/2097152, 505467/2097152], [356919/131072,
2855353/1048576], [-3, -3]]]], [[2, 3, 7, 8, 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], [356919/131072, 2855353/
1048576], [-825991/524288, -3303963/2097152]]]], [[2, 3, 7, 8, 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
], [356919/131072, 2855353/1048576], [-1/4194304, -1/4194304]]]], [[2, 3, 7, 8
, 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], [356919
/131072, 2855353/1048576], [1651981/1048576, 825991/524288]]]], [[2, 3, 7, 8,
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], [356919/
131072, 2855353/1048576], [3, 3]]]], [[2, 5, 2, 7, 1], [v = -2^(1/2), And(-3^(
1/2) < u,u < v), x = -u^2+1, 0 < y, 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, 7, 2], [v =
-2^(1/2), And(-3^(1/2) < u,u < v), x = -u^2+1, 0 < y, 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, 7, 3], [v = -2^(1/2), And(-3^(1/2) <
u,u < v), x = -u^2+1, 0 < y, 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, 7, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -u^
2+1, 0 < y, 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, 7, 5], [v = -
2^(1/2), And(-3^(1/2) < u,u < v), x = -u^2+1, 0 < y, (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, 3, 1], [v = -2^(1/2), And(v < u,u < -1), x < u^2-3, And(x < y,y < u^2+x-\
1), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-3, -3], [-11624291/4194304, -11624291/
4194304], [-2, -2]]]], [[2, 7, 1, 3, 2], [v = -2^(1/2), And(v < u,u < -1), x <
u^2-3, And(x < y,y < u^2+x-1), z = -(y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-3, -3], [-\
11624291/4194304, -11624291/4194304], [-31331/65536, -501295/1048576]]]], [[2,
7, 1, 3, 3], [v = -2^(1/2), And(v < u,u < -1), x < u^2-3, And(x < y,y < u^2+x-\
1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576
, -741455/524288], [-1265743/1048576, -1265743/1048576], [-3, -3], [-11624291/
4194304, -11624291/4194304], [0, 0]]]], [[2, 7, 1, 3, 4], [v = -2^(1/2), And(v
< u,u < -1), x < u^2-3, And(x < y,y < u^2+x-1), z = (y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-3, -3], [-11624291/4194304, -11624291/4194304], [501295/
1048576, 31331/65536]]]], [[2, 7, 1, 3, 5], [v = -2^(1/2), And(v < u,u < -1),
x < u^2-3, And(x < y,y < u^2+x-1), (y-x)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-3, -\
3], [-11624291/4194304, -11624291/4194304], [2, 2]]]], [[2, 8, 4, 1, 1], [v =
-2^(1/2), u = -1, x = -1, y < -1, z = z], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1, -1], [-1, -1], [-2, -2], [0, 0]]]], [[2, 14, 1, 7, 1], [
v = -2^(1/2), u = -v, x < -1, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [-2, -2],
[1, 1], [-3, -3]]]], [[2, 14, 1, 7, 2], [v = -2^(1/2), u = -v, x < -1, 0 < y,
z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
741455/524288, 1482911/1048576], [-2, -2], [1, 1], [-1816187/1048576, -3632373
/2097152]]]], [[2, 14, 1, 7, 3], [v = -2^(1/2), u = -v, x < -1, 0 < y, And(-(y
-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [741455/524288, 1482911/1048576], [-2, -2], [1, 1], [-1/4194304, -1/
4194304]]]], [[2, 14, 1, 7, 4], [v = -2^(1/2), u = -v, x < -1, 0 < y, z = (y-x
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288,
1482911/1048576], [-2, -2], [1, 1], [908093/524288, 1816187/1048576]]]], [[2,
14, 1, 7, 5], [v = -2^(1/2), u = -v, x < -1, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [-2, -2], [1, 1], [3, 3]]]], [[2, 15, 9, 6, 1], [v = -2^(1/2), And(-
v < u,u < 3^(1/2)), And(0 < x,x < 1), y = x-u^2+3, z < -(-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [1/2, 1/2], [537529/524288, 1075059/1048576], [-2, -2]]]], [[2, 15,
9, 6, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(0 < x,x < 1), y = x-u^2+
3, z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[3299097/2097152, 3299097/2097152], [1/2, 1/2], [537529/524288, 1075059/
1048576], [-1519901/2097152, -379975/524288]]]], [[2, 15, 9, 6, 3], [v = -2^(1
/2), And(-v < u,u < 3^(1/2)), And(0 < x,x < 1), y = x-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], [1/2, 1/2], [537529/524288, 
1075059/1048576], [0, 0]]]], [[2, 15, 9, 6, 4], [v = -2^(1/2), And(-v < u,u <
3^(1/2)), And(0 < x,x < 1), y = x-u^2+3, z = (-u^2+3)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [1/2,
1/2], [537529/524288, 1075059/1048576], [379975/524288, 759951/1048576]]]], [[
2, 15, 9, 6, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(0 < x,x < 1), y =
x-u^2+3, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [1/2, 1/2], [537529/524288, 
1075059/1048576], [2, 2]]]], [[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 = x, z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [-10, -10], [-10, -10], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3]
, [-10, -10], [-10, -10], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [-10, -10], [-10, -10], [1, 1]]]
], [[3, 2, 3, 5, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-3 < x
,x < -1), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), 
And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 < -(y+1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-1
, -1], [-1/2, -1/2], [-2, -2]]]], [[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 = -(y+1)^(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, 3, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -1, And
(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(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, 3, 5], [And(-2
^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -1, And(-1 < y,y < 0), (y+1)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152
, -354469/524288], [-1, -1], [-1/2, -1/2], [2, 2]]]], [[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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152]
, [2052175/1048576, 2052175/1048576], [-3, -3]]]], [[3, 9, 9, 7, 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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152]
, [2052175/1048576, 2052175/1048576], [-1162243/1048576, -581121/524288]]]], [
[3, 9, 9, 7, 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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/
2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [0, 0], [1527887/2097152, 1527887/2097152], [2052175/1048576, 2052175/
1048576], [0, 0]]]], [[3, 9, 9, 7, 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(x < y,y < x-u^2+
v^2+1), z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [0, 0], [1527887/2097152, 1527887/2097152], [2052175/1048576, 2052175/
1048576], [581121/524288, 1162243/1048576]]]], [[3, 9, 9, 7, 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(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152], [
2052175/1048576, 2052175/1048576], [3, 3]]]], [[3, 17, 4, 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, 4, 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, 4, 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, 6, 3, 1], [v
= -1, u < -3^(1/2), x = 0, And(-u^2+2 < y,y < 0), z = z], [regular_chain, [[-1
, -1], [-3, -3], [0, 0], [-7/2, -7/2], [0, 0]]]], [[4, 7, 6, 2, 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, 2, 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, 2, 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, 3, 1], [v = -1, 
And(0 < u,u < 1), x < u^2-2, And(x < y,y < u^2+x), z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [-23/8, -23/8], [-2, -2]]]], [
[4, 9, 1, 3, 2], [v = -1, And(0 < u,u < 1), x < u^2-2, And(x < y,y < u^2+x), z
= -(y-x)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [-23/8, -23/
8], [-46341/131072, -370727/1048576]]]], [[4, 9, 1, 3, 3], [v = -1, And(0 < u,
u < 1), x < u^2-2, And(x < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [-23/8, -23/8], [0, 0]]]],
[[4, 9, 1, 3, 4], [v = -1, And(0 < u,u < 1), x < u^2-2, And(x < y,y < u^2+x),
z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [-23/8, -23
/8], [370727/1048576, 46341/131072]]]], [[4, 9, 1, 3, 5], [v = -1, And(0 < u,u
< 1), x < u^2-2, And(x < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[-1,
-1], [1/2, 1/2], [-3, -3], [-23/8, -23/8], [2, 2]]]], [[4, 13, 8, 1, 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],
[-1, -1], [0, 0]]]], [[4, 15, 1, 2, 1], [v = -1, 3^(1/2) < u, x < -u^2, y = x-
u^2+2, z = z], [regular_chain, [[-1, -1], [3, 3], [-10, -10], [-17, -17], [0,
0]]]], [[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(u^2-v^2-1 < y,y < 0), z < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-624419/
1048576, -1248837/2097152], [-1248837/4194304, -1248837/4194304], [-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(u^2-v^2-1 < y,y < 0), z = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-624419/1048576, -1248837/
2097152], [-1248837/4194304, -1248837/4194304], [-1144335/2097152, -572167/
1048576]]]], [[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(u^2-v^2-1 < y,y < 0), And(-(y-u^2+v^2+1)^(1/2) < z,z <
(y-u^2+v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-624419/1048576, -1248837/2097152], [-1248837/4194304, -\
1248837/4194304], [0, 0]]]], [[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(u^2-v^2-1 < y,y < 0), z = (y-u^2+v^2+1)
^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152],
[-624419/1048576, -1248837/2097152], [-1248837/4194304, -1248837/4194304], [
572167/1048576, 71521/131072]]]], [[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(u^2-v^2-1 < y,y < 0), (y-u^2+v^2+1
)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [-624419/1048576, -1248837/2097152], [-1248837/4194304, -1248837/
4194304], [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 = x, z < 0], [regular_chain, [[-1/2, -1/2], [0, 0
], [-9/8, -9/8], [-9/8, -9/8], [-1, -1]]]], [[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 = x, z = 0], [
regular_chain, [[-1/2, -1/2], [0, 0], [-9/8, -9/8], [-9/8, -9/8], [0, 0]]]], [
[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 = x, 0 < z], [regular_chain, [[-1/2, -1/2], [0, 0], [-9/8, -9/8], [-9/8
, -9/8], [1, 1]]]], [[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 < 0), z < -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [-\
3345989/4194304, -3345989/4194304], [-3, -3]]]], [[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
< 0), z = -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-3, -3], [-3345989/4194304, -3345989/4194304], [-1556087/
1048576, -778043/524288]]]], [[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 < 0), And(-(y-x)^(1/
2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-3, -3], [-3345989/4194304, -3345989/4194304], [0, 0]]]], [
[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 < 0), z = (y-x)^(1/2)], [regular_chain, [[-1/2, -1
/2], [1696631/2097152, 1696631/2097152], [-3, -3], [-3345989/4194304, -3345989
/4194304], [778043/524288, 1556087/1048576]]]], [[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 <
0), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631
/2097152], [-3, -3], [-3345989/4194304, -3345989/4194304], [3, 3]]]], [[5, 10,
4, 5, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = -1, And(0 < y,y < 1), z <
-(y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072]
, [-1, -1], [1/2, 1/2], [-3, -3]]]], [[5, 10, 4, 5, 2], [And(-1 < v,v < 0), u
= (v^2+1)^(1/2), x = -1, And(0 < y,y < 1), z = -(y+1)^(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, 5, 3], [And(-1 < v,v < 0), u
= (v^2+1)^(1/2), x = -1, And(0 < 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]
, [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 = (y+1)^(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, 5, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2),
x = -1, And(0 < y,y < 1), (y+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [
1172343/1048576, 146543/131072], [-1, -1], [1/2, 1/2], [3, 3]]]], [[6, 2, 9, 2
, 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, 2, 3, 1],
[v = 0, u = -1, x = -2, And(-2 < y,y < 0), z < -(y+2)^(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(-2 < y,y < 0), z = -(y+2)^(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(-2 < y,y < 0), And(-(y+2)^(1/2) < z,z < (y+2)^(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(-2 < y,y < 0), z = (y+2)^(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(-2 < y,y < 0), (y+2)^(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 = 0, z < -(-x)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-4, -4], [0, 0],
[-3, -3]]]], [[6, 9, 1, 8, 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, 8, 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, 8, 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, 8, 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, 9, 1], [v
= 0, u = 2^(1/2), And(-3 < x,x < -1), x+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-2, -2], [2, 2], [-\
3, -3]]]], [[6, 10, 3, 9, 2], [v = 0, u = 2^(1/2), And(-3 < x,x < -1), x+3 < y
, z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576]
, [-2, -2], [2, 2], [-2, -2]]]], [[6, 10, 3, 9, 3], [v = 0, u = 2^(1/2), And(-\
3 < x,x < -1), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[0, 0], [741455/524288, 1482911/1048576], [-2, -2], [2, 2], [0, 0]]]], [[6,
10, 3, 9, 4], [v = 0, u = 2^(1/2), And(-3 < x,x < -1), x+3 < y, z = (y-x)^(1/2
)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-2, -2], [2, 2
], [2, 2]]]], [[6, 10, 3, 9, 5], [v = 0, u = 2^(1/2), And(-3 < x,x < -1), x+3
< y, (y-x)^(1/2) < z], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [-2, -2], [2, 2], [3, 3]]]], [[7, 4, 9, 1, 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], [-1, -1], [0, 0]]]], [[7, 6, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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
, 9, 4, 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, 9, 1], [v = 1, u < -3^(1/2), u^2-2 < x, u^2+x < y, z < -(y-x)
^(1/2)], [regular_chain, [[1, 1], [-3, -3], [8, 8], [18, 18], [-5, -5]]]], [[8
, 1, 11, 9, 2], [v = 1, u < -3^(1/2), u^2-2 < x, u^2+x < y, z = -(y-x)^(1/2)],
[regular_chain, [[1, 1], [-3, -3], [8, 8], [18, 18], [-3315889/1048576, -\
207243/65536]]]], [[8, 1, 11, 9, 3], [v = 1, u < -3^(1/2), u^2-2 < x, u^2+x <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-3, -3],
[8, 8], [18, 18], [0, 0]]]], [[8, 1, 11, 9, 4], [v = 1, u < -3^(1/2), u^2-2 <
x, u^2+x < y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [8, 8], [18
, 18], [207243/65536, 3315889/1048576]]]], [[8, 1, 11, 9, 5], [v = 1, u < -3^(
1/2), u^2-2 < x, u^2+x < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-3, -3
], [8, 8], [18, 18], [5, 5]]]], [[8, 7, 11, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7
, 2, 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, 2, 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, 2, 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, 2, 1, 1], [v = 1, u = 3^(1/2), x = -3, y < -4, z = z], [regular_chain,
[[1, 1], [908093/524288, 1816187/1048576], [-3, -3], [-5, -5], [0, 0]]]], [[8,
15, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 11, 7, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -
v), 1 < x, And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [2, 2], [3, 3], [-2, -2]]]], [[9, 5, 11, 7, 2], [And(1 < v,v
< 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And(x-u^2+v^2+1 < y,y < u^2
-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [3, 3], [-1, -1]]]], [
[9, 5, 11, 7, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), 1 <
x, And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [2, 2], [3, 3], [0, 0]]]], [[9, 5, 11, 7, 4], [And(1 < v,v <
2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And(x-u^2+v^2+1 < y,y < u^2-v
^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-5818805/4194304, -5818805/4194304], [2, 2], [3, 3], [1, 1]]]], [[9, 5, 11,
7, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And(x-u
^2+v^2+1 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [3, 3
], [2, 2]]]], [[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 < 0, z = z], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/2, 1/2], [-1, -1],
[0, 0]]]], [[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 = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [0, 0], [-1/2, -1/2], [-4014395/4194304,
-16057579/16777216], [0, 0]]]], [[9, 10, 9, 5, 1], [And(1 < v,v < 2^(1/2)), u
= (v^2-1)^(1/2), 1 < x, And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [2, 2],
[3, 3], [-2, -2]]]], [[9, 10, 9, 5, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(
1/2), 1 < x, And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [354469/524288, 708939/1048576], [2, 2], [3, 3], [-\
1, -1]]]], [[9, 10, 9, 5, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), 1 <
x, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [2, 2],
[3, 3], [0, 0]]]], [[9, 10, 9, 5, 4], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/
2), 1 < x, And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [354469/524288, 708939/1048576], [2, 2], [3, 3], [1
, 1]]]], [[9, 10, 9, 5, 5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), 1 < x,
And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [354469/524288, 708939/1048576], [2, 2], [3, 3], [2, 2]]]],
[[9, 16, 9, 4, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), 1 < x, y = x-1,
z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 
1949649/1048576], [2, 2], [1, 1], [0, 0]]]], [[10, 1, 2, 7, 1], [v = 2^(1/2),
u < -2, x = -u^2+1, 0 < y, z < -(u^2+y-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [-8, -8], [1, 1], [-4, -4]]]], [[10, 1, 2,
7, 2], [v = 2^(1/2), u < -2, x = -u^2+1, 0 < y, z = -(u^2+y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-8, -8], [1, 1],
[-3, -3]]]], [[10, 1, 2, 7, 3], [v = 2^(1/2), u < -2, x = -u^2+1, 0 < y, 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, 7, 4], [v
= 2^(1/2), u < -2, x = -u^2+1, 0 < y, z = (u^2+y-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [-8, -8], [1, 1], [3, 3]]]], [[10,
1, 2, 7, 5], [v = 2^(1/2), u < -2, x = -u^2+1, 0 < y, (u^2+y-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-8, -8], [1, 1],
[4, 4]]]], [[10, 5, 5, 3, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-1 <
x,x < u^2-3), And(x < y,y < x-u^2+3), z < -(y-x)^(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, 3, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-1 < x,x
< u^2-3), And(x < y,y < x-u^2+3), z = -(y-x)^(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, 3, 3], [v = 2^(1/2), And(-3^(1/2) <
u,u < -v), And(-1 < x,x < u^2-3), And(x < y,y < x-u^2+3), And(-(y-x)^(1/2) < z
,z < (y-x)^(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, 3, 4], [v = 2^(1/2)
, And(-3^(1/2) < u,u < -v), And(-1 < x,x < u^2-3), And(x < y,y < x-u^2+3), z =
(y-x)^(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, 3,
5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-1 < x,x < u^2-3), And(x < y,y
< x-u^2+3), (y-x)^(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, 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], [-1138531/1048576, -569265/
524288], [-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], [-1138531/1048576, -569265/524288], [-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], [-1138531/1048576, -569265/524288], [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], [-\
1138531/1048576, -569265/524288], [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], [-1138531/1048576,
-569265/524288], [2, 2]]]], [[10, 12, 9, 3, 1], [v = 2^(1/2), u = 1, 1 < x, 
And(0 < y,y < x), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [
1, 1], [2, 2], [1, 1], [0, 0]]]], [[10, 14, 3, 5, 1], [v = 2^(1/2), u = v, And
(-1 < x,x < 0), And(0 < y,y < x+1), z < -(y-x)^(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+1), z = -(y-x)^(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, 5, 3], [v = 2^(1
/2), u = v, And(-1 < x,x < 0), And(0 < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y
-x)^(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, 5, 4], [v = 2^(1/2), u = v, And(-1 < x,x < 0), And(0 < y,y < x+1),
z = (y-x)^(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, 5, 5], [v = 2^(1/2), u = v, And(-1 < x,x < 0), And(0
< y,y < x+1), (y-x)^(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 <
-1), z = z], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-1
, -1], [-3/2, -3/2], [0, 0]]]], [[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 < 0, z = z], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [1566621/2097152
, 1566621/2097152], [-1, -1], [0, 0]]]], [[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(0 < y,y < u^2-v^2+2), z =
z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [1, 1], [
128885/524288, 128885/524288], [0, 0]]]], [[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 = x-u^
2+v^2+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, 8, 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-u^2+v^2+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, 8, 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-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], [-11/2, -11/2], [9/2, 9/2], [0, 0]]]], [[11, 11, 3, 8, 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 = x-u^2+v^2+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, 8
, 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 = x-u^2+v^2+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, 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(0 < y,y
< u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [-2614535/2097152, -2614535/2097152], [258691/2097152, 258691/
2097152], [-3, -3]]]], [[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(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), And(-(y
-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [-2614535/2097152, -2614535/2097152], [258691/2097152, 258691/
2097152], [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(0 < y,y < u^2-v^2+x+1), z = (y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-2614535/2097152, -\
2614535/2097152], [258691/2097152, 258691/2097152], [3, 3]]]], [[1, 1, 8, 2, 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, 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(u^2-v^2+x+1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3],
[-3396811/1048576, -3396811/1048576], [-4, -4], [-3158215/4194304, -3158215/
4194304], [-3, -3]]]], [[1, 3, 1, 7, 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 < 0), z = -(y-x)^(
1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-4, -\
4], [-3158215/4194304, -3158215/4194304], [-3778963/2097152, -7557925/4194304]
]]], [[1, 3, 1, 7, 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 < 0), And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-4
, -4], [-3158215/4194304, -3158215/4194304], [-1/8388608, -1/8388608]]]], [[1,
3, 1, 7, 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 < 0), z = (y-x)^(1/2)], [regular_chain, [[-3,
-3], [-3396811/1048576, -3396811/1048576], [-4, -4], [-3158215/4194304, -\
3158215/4194304], [1889481/1048576, 944741/524288]]]], [[1, 3, 1, 7, 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 < 0), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [-4, -4], [-3158215/4194304, -3158215/4194304], [3
, 3]]]], [[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 = z], [regular_chain, [[
-3, -3], [-22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/
4194304], [-1186209/524288, -2372417/1048576], [0, 0]]]], [[1, 10, 5, 5, 1], [
v < -2^(1/2), u = -(v^2-2)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z < -(y
-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 < 0, z = z], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [1, 1], [-1, -1],
[0, 0]]]], [[1, 16, 2, 1, 1], [v < -2^(1/2), u = -v, x = -1, y < -1, z = z], [
regular_chain, [[-3, -3], [3, 3], [-1, -1], [-2, -2], [0, 0]]]], [[2, 1, 1, 3,
1], [v = -2^(1/2), u < -2, x < -u^2+1, And(x-u^2+3 < y,y < x), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-9, -9], [-12,
-12], [0, 0]]]], [[2, 2, 3, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 9, 4, 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, 7, 1], [v = -2^(1/2), And(0 <
u,u < 1), x = u^2-3, 0 < y, z < -(y-u^2+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [-11/4, -11/4], [1, 1], [-3, -3]]]], [[2
, 11, 2, 7, 2], [v = -2^(1/2), And(0 < u,u < 1), x = u^2-3, 0 < y, z = -(y-u^2
+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, 7
, 3], [v = -2^(1/2), And(0 < u,u < 1), x = u^2-3, 0 < y, And(-(y-u^2+3)^(1/2)
< z,z < (y-u^2+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, 7, 4], [v = -2^(1/2), And(0 < u,u < 1), x = u^2-3, 0 < y, z = (y-u^2+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, 7, 5], [v =
-2^(1/2), And(0 < u,u < 1), x = u^2-3, 0 < y, (y-u^2+3)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-11/4, -11/4]
, [1, 1], [3, 3]]]], [[2, 17, 4, 2, 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], [-388511/262144, -1554043/
1048576], [0, 0]]]], [[2, 18, 6, 5, 1], [v = -2^(1/2), u = 2, x = 0, And(0 < y
,y < 3), z < -y^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
2, 2], [0, 0], [3/2, 3/2], [-3, -3]]]], [[2, 18, 6, 5, 2], [v = -2^(1/2), u =
2, x = 0, And(0 < y,y < 3), 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, 5, 3], [v = -2^(1/2), u = 2, x = 0, And(0 < y,y < 3), 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, 5, 4], [v = -2^(1/2), u = 2
, x = 0, And(0 < y,y < 3), 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, 5, 5], [v = -2^(1/2), u = 2, x = 0, And(0 < y,y < 3), y^(1/2) <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [0, 0], [3/2,
3/2], [3, 3]]]], [[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(0 < y,y < x), 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 < x, z = z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [
-646847/524288, -646847/524288], [-3, -3], [0, 0]]]], [[3, 11, 4, 3, 1], [And(
-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, And(-1 < y,y < u^
2-v^2), z < -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-1, -1], [-1646781/2097152, -\
1646781/2097152], [-2, -2]]]], [[3, 11, 4, 3, 2], [And(-2^(1/2) < v,v < -1), 
And((v^2-1)^(1/2) < u,u < -v), x = -1, And(-1 < y,y < u^2-v^2), z = -(y+1)^(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, 3, 3], [And(-2^(1/2) < v,v < -1), And
((v^2-1)^(1/2) < u,u < -v), x = -1, And(-1 < y,y < u^2-v^2), And(-(y+1)^(1/2)
< z,z < (y+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[987341/1048576, 987341/1048576], [-1, -1], [-1646781/2097152, -1646781/
2097152], [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(-1 < y,y < u^2-v^2), z = (y+1)^(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, 3, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^
(1/2) < u,u < -v), x = -1, And(-1 < y,y < u^2-v^2), (y+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [-1646781/2097152, -1646781/2097152], [2, 2]]]], [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [-\
646847/262144, -2587387/1048576], [-2, -2]]]], [[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 = x-u^2+v^2+1,
z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [1454701/1048576, 1454701/1048576], [-3, -3], [-646847/262144, -2587387/
1048576], [-765155/1048576, -1530309/2097152]]]], [[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 = x-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], [-3, -\
3], [-646847/262144, -2587387/1048576], [-1/4194304, -1/4194304]]]], [[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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [-\
646847/262144, -2587387/1048576], [382577/524288, 765155/1048576]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [-\
646847/262144, -2587387/1048576], [2, 2]]]], [[3, 14, 5, 7, 1], [And(-2^(1/2)
< v,v < -1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, z < -(y-x)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 
410915/262144], [-1/2, -1/2], [3, 3], [-3, -3]]]], [[3, 14, 5, 7, 2], [And(-2^
(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, z = -(y-x)^(
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, 7, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-1 < x,x
< 0), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-1/2, -\
1/2], [3, 3], [0, 0]]]], [[3, 14, 5, 7, 4], [And(-2^(1/2) < v,v < -1), u = (v^
2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, z = (y-x)^(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, 7, 5], [And(-2^
(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, (y-x)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576,
410915/262144], [-1/2, -1/2], [3, 3], [3, 3]]]], [[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-u^2+v
^2+1, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/
524288, 898327/524288], [2, 2], [797593/524288, 1595187/1048576], [0, 0]]]], [
[4, 4, 4, 2, 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, 2, 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, 2, 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, 1, 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], [-1, -1], [0, 0]]]], [[4, 10, 6, 3, 1], [v = -1, u = 1, x = 1, And(0
< y,y < 1), z = z], [regular_chain, [[-1, -1], [1, 1], [1, 1], [1/2, 1/2], [0,
0]]]], [[4, 12, 2, 3, 1], [v = -1, u = 2^(1/2), x = -2, And(-2 < y,y < 0), z <
-(y+2)^(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(-2 < y,y < 0), z = -(y+2)^(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(-2 < y,y < 0), And(-(y+2)^(1/2) < z,z < (y+2
)^(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(
-2 < y,y < 0), z = (y+2)^(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(-2 < y,y < 0), (y+2)^(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-1, 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, 7, 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 < -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [2, 2], [
3388749/1048576, 3388749/1048576], [-3, -3]]]], [[5, 3, 11, 7, 2], [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 = -(y-x)^(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, 7, 3], [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), And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/
262144], [2, 2], [3388749/1048576, 3388749/1048576], [0, 0]]]], [[5, 3, 11, 7,
4], [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 = (y-x)^(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, 7, 5], [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), (y-x
)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144],
[2, 2], [3388749/1048576, 3388749/1048576], [3, 3]]]], [[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 = x, z < 0], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [1534619/2097152, 1534619/2097152], [767309/1048576, 383655/524288],
[-1, -1]]]], [[5, 11, 9, 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], [1534619/2097152, 1534619/2097152],
[767309/1048576, 383655/524288], [0, 0]]]], [[5, 11, 9, 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], [
1534619/2097152, 1534619/2097152], [767309/1048576, 383655/524288], [1, 1]]]],
[[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 = x-u^2+v^2+1, z = z], [regular_chain, [[-1/2, -1/2], [3, 3], [-43/8,
-43/8], [-105/8, -105/8], [0, 0]]]], [[6, 5, 8, 1, 1], [v = 0, And(-1 < u,u <
0), x = 0, y < 0, z = z], [regular_chain, [[0, 0], [-1/2, -1/2], [0, 0], [-1,
-1], [0, 0]]]], [[6, 7, 5, 2, 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, 2, 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, 2, 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, 7, 1], [v = 0, 2^(1/2) < u, And(0 < x,x < 1
), And(x < y,y < u^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [3, 3],
[1/2, 1/2], [11/2, 11/2], [-4, -4]]]], [[6, 11, 7, 7, 2], [v = 0, 2^(1/2) < u,
And(0 < x,x < 1), And(x < y,y < u^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [
[0, 0], [3, 3], [1/2, 1/2], [11/2, 11/2], [-146543/65536, -2344687/1048576]]]]
, [[6, 11, 7, 7, 3], [v = 0, 2^(1/2) < u, And(0 < x,x < 1), And(x < y,y < u^2+
x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [3, 3],
[1/2, 1/2], [11/2, 11/2], [0, 0]]]], [[6, 11, 7, 7, 4], [v = 0, 2^(1/2) < u, 
And(0 < x,x < 1), And(x < y,y < u^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[
0, 0], [3, 3], [1/2, 1/2], [11/2, 11/2], [2344687/1048576, 146543/65536]]]], [
[6, 11, 7, 7, 5], [v = 0, 2^(1/2) < u, And(0 < x,x < 1), And(x < y,y < u^2+x+1
), (y-x)^(1/2) < z], [regular_chain, [[0, 0], [3, 3], [1/2, 1/2], [11/2, 11/2]
, [4, 4]]]], [[7, 1, 10, 1, 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], [-\
1, -1], [0, 0]]]], [[7, 7, 9, 9, 1], [And(0 < v,v < 1), And(-v < u,u < v), And
(0 < x,x < 1), x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2]
, [0, 0], [1/2, 1/2], [3, 3], [-3, -3]]]], [[7, 7, 9, 9, 2], [And(0 < v,v < 1)
, And(-v < u,u < v), And(0 < x,x < 1), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [1/2, 1/2], [3, 3], [-3315889/2097152, -\
207243/131072]]]], [[7, 7, 9, 9, 3], [And(0 < v,v < 1), And(-v < u,u < v), And
(0 < x,x < 1), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [0, 0], [1/2, 1/2], [3, 3], [0, 0]]]], [[7, 7, 9,
9, 4], [And(0 < v,v < 1), And(-v < u,u < v), And(0 < x,x < 1), x-u^2+v^2+1 < y
, z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [1/2, 1/2], [3, 3], [
207243/131072, 1657945/1048576]]]], [[7, 7, 9, 9, 5], [And(0 < v,v < 1), And(-
v < u,u < v), And(0 < x,x < 1), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [0, 0], [1/2, 1/2], [3, 3], [3, 3]]]], [[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 < x, z = z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [-1248837/4194304, -1248837/4194304], [-2, -2], [0, 0]]]], [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(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,
7, 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 < u^2-v^2+x+1), z = -(y-x)^(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, 7, 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 < u^2-v^2+x+1), 
And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 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 < u^2-v^
2+x+1), z = (y-x)^(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, 7, 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 < u^2-v^2+x+1), (y-x)^(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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 1], [v = 1
, And(-2^(1/2) < u,u < -1), x < -u^2, 0 < y, z < -(y-x)^(1/2)], [regular_chain
, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [-3, -3]]]]
, [[8, 5, 1, 9, 2], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, 0 < y, z = -(y
-x)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3
, -3], [1, 1], [-2, -2]]]], [[8, 5, 1, 9, 3], [v = 1, And(-2^(1/2) < u,u < -1)
, x < -u^2, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1
, 1], [-1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [0, 0]]]], [[8,
5, 1, 9, 4], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, 0 < y, z = (y-x)^(1/2
)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3, -3], [
1, 1], [2, 2]]]], [[8, 5, 1, 9, 5], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2
, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [-3, -3], [1, 1], [3, 3]]]], [[8, 6, 5, 2, 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, 5, 4, 1], [v = 1, And(1 < u,u < 2^(1/2)), And
(-1 < x,x < u^2-2), y = x-u^2+2, z < -(-u^2+2)^(1/2)], [regular_chain, [[1, 1]
, [1265743/1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304], [-\
29957/131072, -239655/1048576], [-2, -2]]]], [[8, 11, 5, 4, 2], [v = 1, And(1
< u,u < 2^(1/2)), And(-1 < x,x < u^2-2), y = x-u^2+2, z = -(-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3235683/4194304,
-3235683/4194304], [-29957/131072, -239655/1048576], [-772605/1048576, -\
1545209/2097152]]]], [[8, 11, 5, 4, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(-1
< x,x < u^2-2), y = x-u^2+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], [-29957/131072, -239655/1048576], [-1/4194304, -1/4194304]]
]], [[8, 11, 5, 4, 4], [v = 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2),
y = x-u^2+2, z = (-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-3235683/4194304, -3235683/4194304], [-29957/131072, -\
239655/1048576], [193151/262144, 772605/1048576]]]], [[8, 11, 5, 4, 5], [v = 1
, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), y = x-u^2+2, (-u^2+2)^(1/2) <
z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3235683/
4194304, -3235683/4194304], [-29957/131072, -239655/1048576], [2, 2]]]], [[8,
12, 9, 3, 1], [v = 1, u = 2^(1/2), 1 < x, And(0 < y,y < x), z = z], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [2, 2], [1, 1], [0,
0]]]], [[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 < -(u^2-v^2+1)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [-3647693/2097152, -3647693/2097152], [775271/
1048576, 96909/131072], [-3, -3]]]], [[9, 3, 3, 8, 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], [775271/1048576, 96909/131072], [-3301741/2097152, -825435/
524288]]]], [[9, 3, 3, 8, 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], [775271/1048576, 96909/131072], [0, 0]]]], [[9, 3, 3, 8, 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], [775271/1048576, 96909/131072], [825435/
524288, 1650871/1048576]]]], [[9, 3, 3, 8, 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], [775271/1048576, 96909/131072], [3, 3]]]], [[9, 4, 7, 3, 1], [And(1
< v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(0 < y,y < x), z =
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -\
3287319/2097152], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[9, 12, 3, 2, 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, 2, 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, 2, 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, 4, 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, 4, 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, 4, 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, 5, 1], [v = 2^(1/2), u = -2, x = -1, And(-1 < y
,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^
(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(-1 < y,y < 0), (y+1)^(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 = 2*u^
2-4, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
-3913339/2097152, -3913339/2097152], [505467/1048576, 126367/262144], [1554043
/524288, 3108087/1048576], [-3, -3]]]], [[10, 3, 8, 6, 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], [1554043/524288, 3108087/1048576],
[-825991/524288, -3303963/2097152]]]], [[10, 3, 8, 6, 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], [1554043/524288, 3108087/
1048576], [-1/4194304, -1/4194304]]]], [[10, 3, 8, 6, 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], [1554043/524288, 3108087/1048576], [1651981/
1048576, 825991/524288]]]], [[10, 3, 8, 6, 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], [1554043/524288, 3108087/1048576], [3, 3]]]], [[10, 8
, 5, 3, 1], [v = 2^(1/2), u = -1, And(-1 < x,x < 0), And(x < y,y < 0), z < -(y
-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1/2
, -1/2], [-1/4, -1/4], [-2, -2]]]], [[10, 8, 5, 3, 2], [v = 2^(1/2), u = -1, 
And(-1 < x,x < 0), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v = 2^(1/2), u = -1, And(-1 < x,x < 0), And(x <
y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [-1/2, -1/2], [-1/4, -1/4], [0, 0]]]], [[
10, 8, 5, 3, 4], [v = 2^(1/2), u = -1, And(-1 < x,x < 0), And(x < y,y < 0), z
= (y-x)^(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, 3, 5], [v = 2^(1/2), u =
-1, And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1, -1], [-1/2, -1/2], [-1/4, -1/4], [2, 2]]
]], [[10, 9, 10, 5, 1], [v = 2^(1/2), And(-1 < u,u < 0), x = 1, And(u^2 < y,y
< 1), 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 = 1, z < 0], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [1, 1], [1, 1], [-1, -1]]]], [[
10, 15, 10, 4, 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, 4, 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, 3, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0)
, And(x-u^2+3 < y,y < x), z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [-24864689/
33554432, -24864689/33554432], [0, 0]]]], [[10, 18, 9, 4, 1], [v = 2^(1/2), u
= 2, 1 < x, y = x-1, z = z], [regular_chain, [[741455/524288, 1482911/1048576]
, [2, 2], [2, 2], [1, 1], [0, 0]]]], [[11, 1, 2, 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 = z], [
regular_chain, [[3, 3], [-5, -5], [-17, -17], [-49/2, -49/2], [0, 0]]]], [[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], [-1064009/
1048576, -133001/131072], [-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], [-1064009/1048576, -133001/131072], [-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], [-1064009/1048576, -133001/131072], [-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], [-1064009/1048576, -133001/131072], [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], [-1064009/1048576, -133001/131072], [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(0 < y,y < x), 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 = x, z < 0], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [2, 2], [2, 2], [-1,
-1]]]], [[11, 13, 11, 6, 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, 6, 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, 2,
5, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -3, And(-3 < y,y < 0), z < -(y+3)^
(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-3, -3],
[-3/2, -3/2], [-3, -3]]]], [[11, 20, 2, 5, 2], [2^(1/2) < v, u = (v^2+2)^(1/2)
, x = -3, And(-3 < y,y < 0), z = -(y+3)^(1/2)], [regular_chain, [[3, 3], [
3477733/1048576, 1738867/524288], [-3, -3], [-3/2, -3/2], [-1284239/1048576, -\
642119/524288]]]], [[11, 20, 2, 5, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -3
, And(-3 < y,y < 0), And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))], [regular_chain, [
[3, 3], [3477733/1048576, 1738867/524288], [-3, -3], [-3/2, -3/2], [0, 0]]]],
[[11, 20, 2, 5, 4], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -3, And(-3 < y,y < 0)
, z = (y+3)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288]
, [-3, -3], [-3/2, -3/2], [642119/524288, 1284239/1048576]]]], [[11, 20, 2, 5,
5], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -3, And(-3 < y,y < 0), (y+3)^(1/2) <
z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-3, -3], [-3/
2, -3/2], [3, 3]]]], [[11, 21, 6, 6, 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, 6, 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, 6,
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, 6, 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, 6, 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, 1, 1],
[v < -2^(1/2), u = -(v^2+1)^(1/2), x = -1, y < -1, z = z], [regular_chain, [[-\
3, -3], [-3315889/1048576, -207243/65536], [-1, -1], [-2, -2], [0, 0]]]], [[1,
5, 9, 9, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), u
^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072,
-403851/131072], [1/2, 1/2], [3, 3], [-3, -3]]]], [[1, 5, 9, 9, 2], [v < -2^(1
/2), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), u^2-v^2+x+1 < y, z = -(y
-x)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1/2,
1/2], [3, 3], [-3315889/2097152, -207243/131072]]]], [[1, 5, 9, 9, 3], [v < -2
^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), u^2-v^2+x+1 < y, And(
-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-403851/131072
, -403851/131072], [1/2, 1/2], [3, 3], [0, 0]]]], [[1, 5, 9, 9, 4], [v < -2^(1
/2), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), u^2-v^2+x+1 < y, z = (y-
x)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1/2,
1/2], [3, 3], [207243/131072, 1657945/1048576]]]], [[1, 5, 9, 9, 5], [v < -2^(
1/2), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), u^2-v^2+x+1 < y, (y-x)^
(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1/2,
1/2], [3, 3], [3, 3]]]], [[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 = z], [
regular_chain, [[-3, -3], [0, 0], [9/2, 9/2], [-7/2, -7/2], [0, 0]]]], [[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, 0 < y, z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [-5260377/2097152, -657547/262144], [1, 1], [-3, -3]]
]], [[1, 13, 2, 7, 2], [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 = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3],
[1435023/524288, 1435023/524288], [-5260377/2097152, -657547/262144], [1, 1],
[-7856171/4194304, -3928085/2097152]]]], [[1, 13, 2, 7, 3], [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, And(-(y-u^2+v^2+1
)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [-5260377/2097152, -657547/262144], [1, 1], [-1/
4194304, -1/4194304]]]], [[1, 13, 2, 7, 4], [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 = (y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-5260377/2097152,
-657547/262144], [1, 1], [982021/524288, 1964043/1048576]]]], [[1, 13, 2, 7, 5
], [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, (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [-5260377/2097152, -657547/262144], [1, 1], [3, 3]]]], [[1, 
17, 9, 3, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1),
And(0 < y,y < x), z = z], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[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 = 0, z < -1], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1, -1], [0, 0]
, [-2, -2]]]], [[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 = 0, z = -1], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [-1, -1], [0, 0], [-1, -1]]]], [[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 = 0, And(-1
< z,z < 1)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-\
1, -1], [0, 0], [0, 0]]]], [[1, 19, 4, 6, 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, 6,
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, 5, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)),
And(0 < x,x < u^2-3), And(0 < y,y < x), 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 <
x, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-1297479/1048576, -1297479/1048576], [-3, -3], [0
, 0]]]], [[2, 7, 1, 2, 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, 2, 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, 2, 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, 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 = x+1, 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 = x+1, 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 = x+1, 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 = x+1, 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 = x+1, 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-u^2+3 < y,y < u^2+x-1), z < -(y-
x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[2, 15, 9, 7,
2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(0 < x,x < 1), And(x-u^2+3 < y,
y < u^2+x-1), z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [1/2, 1/2], [3/2, 3/2], [-1, -1]]
]], [[2, 15, 9, 7, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(0 < x,x < 1
), And(x-u^2+3 < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[2, 15, 9, 7, 4], [v = -2^(1/2),
And(-v < u,u < 3^(1/2)), And(0 < x,x < 1), And(x-u^2+3 < y,y < u^2+x-1), z = (
y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[2, 15, 9, 7, 5
], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(0 < x,x < 1), And(x-u^2+3 < y,y
< u^2+x-1), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [1/2, 1/2], [3/2, 3/2], [2, 2]]]]
, [[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(x-u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [-10, -10], [-27832241/2097152, -27832241/2097152]
, [0, 0]]]], [[3, 2, 3, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 7, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2
-1)^(1/2), And(-2 < x,x < -1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-3/2,
-3/2], [2, 2], [-3, -3]]]], [[3, 8, 3, 7, 2], [And(-2^(1/2) < v,v < -1), u = -
(v^2-1)^(1/2), And(-2 < x,x < -1), x+2 < y, z = -(y-x)^(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, 7, 3], [
And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), x+2 < y, And
(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [-3/2, -3/2], [2, 2], [0
, 0]]]], [[3, 8, 3, 7, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(
-2 < x,x < -1), x+2 < y, z = (y-x)^(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, 7, 5], [And(-2^(1/2) < v,v < -1
), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), x+2 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-3/2, -3/2], [2, 2], [3, 3]]]], [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152], [
1670203/524288, 3340407/1048576], [-3, -3]]]], [[3, 9, 9, 8, 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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152], [
1670203/524288, 3340407/1048576], [-410915/262144, -3287319/2097152]]]], [[3,
9, 9, 8, 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-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], [1527887/2097152, 1527887/2097152], [1670203/524288, 3340407/1048576],
[-1/4194304, -1/4194304]]]], [[3, 9, 9, 8, 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 = x-u^2+v^
2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [1527887/2097152, 1527887/2097152], [1670203/524288, 3340407
/1048576], [1643659/1048576, 410915/262144]]]], [[3, 9, 9, 8, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152], [
1670203/524288, 3340407/1048576], [3, 3]]]], [[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 = z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [3, 3], [-1, -1], [-9, -9], [0, 0]]]],
[[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 < -u^2, z = z], [regular_chain,
[[-1, -1], [-1/2, -1/2], [-1/4, -1/4], [-2, -2], [0, 0]]]], [[4, 9, 1, 6, 1],
[v = -1, And(0 < u,u < 1), x < u^2-2, y = x-u^2+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, 6, 2], [v = -1, And(0 < u,u < 1), x < u^2-2, y = x-u^2+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, 6, 3], [v = -1, And(0 < u,u < 1),
x < u^2-2, y = x-u^2+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, 6, 4], [v = -1, And(0 < u,u < 1), x < u^2-2, y = x-u^2+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, 6, 5], [v = -1, And(0 < u,u < 1), x < u^2
-2, y = x-u^2+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, 7, 1], [v = -1, And(2^(1/2) < u,
u < 3^(1/2)), And(0 < x,x < u^2-2), And(x < y,y < u^2+x), z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [497805/2097152,
497805/2097152], [3092763/2097152, 3092763/2097152], [-3, -3]]]], [[4, 13, 7,
7, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), And(x < y,
y < u^2+x), z = -(y-x)^(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, 7, 3], [v = -1, 
And(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), And(x < y,y < u^2+x), And(
-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [3299097/
2097152, 3299097/2097152], [497805/2097152, 497805/2097152], [3092763/2097152,
3092763/2097152], [0, 0]]]], [[4, 13, 7, 7, 4], [v = -1, And(2^(1/2) < u,u < 3
^(1/2)), And(0 < x,x < u^2-2), And(x < y,y < u^2+x), z = (y-x)^(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, 7, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(0 <
x,x < u^2-2), And(x < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[-1, -1
], [3299097/2097152, 3299097/2097152], [497805/2097152, 497805/2097152], [
3092763/2097152, 3092763/2097152], [3, 3]]]], [[4, 15, 1, 3, 1], [v = -1, 3^(1
/2) < u, x < -u^2, And(x-u^2+2 < y,y < x), z = z], [regular_chain, [[-1, -1],
[3, 3], [-10, -10], [-27/2, -27/2], [0, 0]]]], [[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 = u^2-v^2-1, z < 0], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-624419/
1048576, -1248837/2097152], [-624419/1048576, -1248837/2097152], [-1, -1]]]],
[[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 = u^2-v^2-1, z = 0], [regular_chain, [[-1/2, -1/2], [-1696631/2097152,
-1696631/2097152], [-624419/1048576, -1248837/2097152], [-624419/1048576, -\
1248837/2097152], [0, 0]]]], [[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 = u^2-v^2-1, 0 < z], [regular_chain, [[-1
/2, -1/2], [-1696631/2097152, -1696631/2097152], [-624419/1048576, -1248837/
2097152], [-624419/1048576, -1248837/2097152], [1, 1]]]], [[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(u^2-v^2+x
+1 < y,y < 0), z < -(y-x)^(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(u^2-v^2+x+1 < y,y < 0), z =
-(y-x)^(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(u^2-v^2+x+1 < y,y <
0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(u^2-
v^2+x+1 < y,y < 0), z = (y-x)^(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(u^2-
v^2+x+1 < y,y < 0), (y-x)^(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 = x-u^2+v^2+1, z < -(-u^2+v^2
+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152],
[-3, -3], [-1260655/524288, -2521309/1048576], [-2, -2]]]], [[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 = x-u^2+v
^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-3, -3], [-1260655/524288, -2521309/1048576], [-\
1618333/2097152, -3236665/4194304]]]], [[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 = x-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], [-3, -3], [-1260655/524288, -2521309/
1048576], [-1/8388608, -1/8388608]]]], [[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 = x-u^2+v^2+1, z = (-u^2+v^2+
1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152],
[-3, -3], [-1260655/524288, -2521309/1048576], [404583/524288, 809167/1048576]
]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1/2,
-1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [-1260655/524288, -\
2521309/1048576], [2, 2]]]], [[5, 10, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 1, 1], [v = 0, u = -2^(1/2), 1 < x, y < 0, z = z]
, [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [2, 2], [-1, -1
], [0, 0]]]], [[6, 4, 3, 1, 1], [v = 0, u = -1, And(-2 < x,x < -1), y < x, z =
z], [regular_chain, [[0, 0], [-1, -1], [-3/2, -3/2], [-3, -3], [0, 0]]]], [[6,
9, 1, 5, 1], [v = 0, And(1 < u,u < 2^(1/2)), x < -u^2-1, And(x < y,y < u^2+x+1
), z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [-4, -4], [-11624291/4194304, -11624291/4194304], [-3, -3]]]], [[6,
9, 1, 5, 2], [v = 0, And(1 < u,u < 2^(1/2)), x < -u^2-1, And(x < y,y < u^2+x+1
), z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [-4, -4], [-11624291/4194304, -11624291/4194304], [-1162243/1048576,
-581121/524288]]]], [[6, 9, 1, 5, 3], [v = 0, And(1 < u,u < 2^(1/2)), x < -u^2
-1, And(x < y,y < u^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-4, -4], [-\
11624291/4194304, -11624291/4194304], [0, 0]]]], [[6, 9, 1, 5, 4], [v = 0, And
(1 < u,u < 2^(1/2)), x < -u^2-1, And(x < y,y < u^2+x+1), z = (y-x)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-4, -4], [-\
11624291/4194304, -11624291/4194304], [581121/524288, 1162243/1048576]]]], [[6
, 9, 1, 5, 5], [v = 0, And(1 < u,u < 2^(1/2)), x < -u^2-1, And(x < y,y < u^2+x
+1), (y-x)^(1/2) < z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [-4, -4], [-11624291/4194304, -11624291/4194304], [3, 3]]]], [[6, 10
, 4, 1, 1], [v = 0, u = 2^(1/2), x = -1, y < -2, z = z], [regular_chain, [[0,
0], [741455/524288, 1482911/1048576], [-1, -1], [-3, -3], [0, 0]]]], [[7, 4, 8
, 7, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = 1, 3 < y, z < -(y-1)^(1/2)
], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [1, 1], [4
, 4], [-3, -3]]]], [[7, 4, 8, 7, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x
= 1, 3 < y, 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, 7, 3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = 1, 3 < y, 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, 7, 4
], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = 1, 3 < y, 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, 7, 5], [And(0 < v,v < 1), u
= -(v^2+1)^(1/2), x = 1, 3 < y, (y-1)^(1/2) < z], [regular_chain, [[1/2, 1/2],
[-146543/131072, -1172343/1048576], [1, 1], [4, 4], [3, 3]]]], [[7, 6, 3, 2, 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, 2, 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, 2, 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, 7, 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 < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[1
/2, 1/2], [3, 3], [35/8, 35/8], [37/4, 37/4], [-4, -4]]]], [[7, 13, 9, 7, 2],
[And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(x < y,y <
u^2-v^2+x+1), z = -(y-x)^(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, 7, 3]
, [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(x < y,y
< u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2,
1/2], [3, 3], [35/8, 35/8], [37/4, 37/4], [0, 0]]]], [[7, 13, 9, 7, 4], [And(0
< v,v < 1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(x < y,y < u^2-v^2
+x+1), z = (y-x)^(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, 7, 5], [And(0 <
v,v < 1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(x < y,y < u^2-v^2+x
+1), (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3, 3], [35/8, 35/8], [37/
4, 37/4], [4, 4]]]], [[8, 1, 11, 8, 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, 8, 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, 8
, 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, 8,
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, 8, 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, 7, 11, 7, 1], [v = 1, And(-1 < u,u < 0), 1 < x, 
And(u^2+x < y,y < x-u^2+2), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1/2,
-1/2], [2, 2], [3, 3], [-2, -2]]]], [[8, 7, 11, 7, 2], [v = 1, And(-1 < u,u <
0), 1 < x, And(u^2+x < y,y < x-u^2+2), z = -(y-x)^(1/2)], [regular_chain, [[1,
1], [-1/2, -1/2], [2, 2], [3, 3], [-1, -1]]]], [[8, 7, 11, 7, 3], [v = 1, And(
-1 < u,u < 0), 1 < x, And(u^2+x < y,y < x-u^2+2), And(-(y-x)^(1/2) < z,z < (y-
x)^(1/2))], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [3, 3], [0, 0]]]],
[[8, 7, 11, 7, 4], [v = 1, And(-1 < u,u < 0), 1 < x, And(u^2+x < y,y < x-u^2+2
), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [3, 3], [1
, 1]]]], [[8, 7, 11, 7, 5], [v = 1, And(-1 < u,u < 0), 1 < x, And(u^2+x < y,y
< x-u^2+2), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [
3, 3], [2, 2]]]], [[8, 9, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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), z < -y^(1/2)], [regular_chain, [[1, 1],
[3, 3], [0, 0], [9/2, 9/2], [-4, -4]]]], [[8, 15, 6, 5, 2], [v = 1, 3^(1/2) <
u, x = 0, And(0 < y,y < u^2), z = -y^(1/2)], [regular_chain, [[1, 1], [3, 3],
[0, 0], [9/2, 9/2], [-1112183/524288, -2224365/1048576]]]], [[8, 15, 6, 5, 3],
[v = 1, 3^(1/2) < u, x = 0, And(0 < y,y < u^2), 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,
5, 4], [v = 1, 3^(1/2) < u, x = 0, And(0 < y,y < u^2), z = y^(1/2)], [
regular_chain, [[1, 1], [3, 3], [0, 0], [9/2, 9/2], [2224365/1048576, 1112183/
524288]]]], [[8, 15, 6, 5, 5], [v = 1, 3^(1/2) < u, x = 0, And(0 < y,y < u^2),
y^(1/2) < z], [regular_chain, [[1, 1], [3, 3], [0, 0], [9/2, 9/2], [4, 4]]]],
[[9, 5, 11, 8, 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], [
908991/262144, 3635965/1048576], [-3, -3]]]], [[9, 5, 11, 8, 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], [908991/262144, 3635965/1048576], [-\
1270261/1048576, -317565/262144]]]], [[9, 5, 11, 8, 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], [908991/262144, 
3635965/1048576], [0, 0]]]], [[9, 5, 11, 8, 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], [908991/262144, 3635965/1048576], [317565/262144, 
1270261/1048576]]]], [[9, 5, 11, 8, 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], [908991/262144, 3635965/1048576], [3, 3]]]], [[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 < -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, 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 < -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, 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 < -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, 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 < -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, 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 < -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, 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(x
< y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)
^(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(x < y,y < 0)
, (y-x)^(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-1 < y,y < 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 = 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, 6, 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, 6, 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,
6, 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, 6, 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, 3, 1], [v = 2
^(1/2), And(-v < u,u < -1), x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), z < -(y-u^2
+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, 3, 2], [v = 2^(1/2), And(-v
< u,u < -1), x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), z = -(y-u^2+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, 3, 3], [v = 2^(1/2),
And(-v < u,u < -1), x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), And(-(y-u^2+3)^(1/2
) < z,z < (y-u^2+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, 3, 4], [v = 2^(1/2),
And(-v < u,u < -1), x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), z = (y-u^2+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, 3, 5], [v = 2^(1
/2), And(-v < u,u < -1), x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), (y-u^2+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, 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 = 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, 2, 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, 2, 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, 4, 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, 4, 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, 4, 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, 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 < 2*u^2-2*v^2),
z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [129511/262144, 518045/1048576], [3651285/2097152, 3651285/
2097152], [-3, -3]]]], [[11, 3, 8, 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^2-1 < y,y < 2*u^2-2*v^2), z = -
(y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [129511/262144, 518045/1048576], [3651285/2097152, 3651285/2097152],
[-1170947/1048576, -585473/524288]]]], [[11, 3, 8, 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^2-1 < y,y < 2*u
^2-2*v^2), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [129511/262144,
518045/1048576], [3651285/2097152, 3651285/2097152], [0, 0]]]], [[11, 3, 8, 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^2-1 < y,y < 2*u^2-2*v^2), z = (y-u^2+v^2+1)^(1/2)], [regular_chain,
[[3, 3], [-3396811/1048576, -3396811/1048576], [129511/262144, 518045/1048576]
, [3651285/2097152, 3651285/2097152], [585473/524288, 1170947/1048576]]]], [[
11, 3, 8, 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^2-1 < y,y < 2*u^2-2*v^2), (y-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [129511/262144,
518045/1048576], [3651285/2097152, 3651285/2097152], [3, 3]]]], [[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 = 1,
z < 0], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [1, 1
], [1, 1], [-1, -1]]]], [[11, 9, 10, 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, 10,
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, 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(0 < y,y < x-u^2+v^2+1), z
< -(y-x)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-11/2, -11/2], [9/4, 9/4],
[-4, -4]]]], [[11, 11, 3, 7, 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-u^2+v^2+1), z = -(y-x)^
(1/2)], [regular_chain, [[3, 3], [0, 0], [-11/2, -11/2], [9/4, 9/4], [-\
11676449/4194304, -364889/131072]]]], [[11, 11, 3, 7, 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-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3],
[0, 0], [-11/2, -11/2], [9/4, 9/4], [0, 0]]]], [[11, 11, 3, 7, 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-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-11/
2, -11/2], [9/4, 9/4], [364889/131072, 2919113/1048576]]]], [[11, 11, 3, 7, 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-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[3, 3],
[0, 0], [-11/2, -11/2], [9/4, 9/4], [4, 4]]]], [[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 < -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], [133001/262144, 133001/262144], [
-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 < -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], [133001/262144, 133001/262144], [-8796092106889/8796093022208
, -1099511513361/1099511627776]]]], [[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 < -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], [133001/262144,
133001/262144], [-934161/2199023255552, -934161/2199023255552]]]], [[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 < -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], [133001/
262144, 133001/262144], [1048575/1048576, 1]]]], [[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 < -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], [133001/262144, 133001/262144],
[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-2614535/2097152, -\
2614535/2097152], [-776075/1048576, -1552149/2097152], [-2, -2]]]], [[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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [-776075/
1048576, -1552149/2097152], [-373161/524288, -1492643/2097152]]]], [[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 = x-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], [-2614535/2097152, -\
2614535/2097152], [-776075/1048576, -1552149/2097152], [-1/4194304, -1/4194304
]]]], [[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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain,
[[3, 3], [403851/131072, 403851/131072], [-2614535/2097152, -2614535/2097152],
[-776075/1048576, -1552149/2097152], [746321/1048576, 373161/524288]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [-776075/
1048576, -1552149/2097152], [2, 2]]]], [[1, 1, 8, 1, 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], [-15, -15], [0, 0]]]], [[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 = u^2-v^2+x+1, z < -(u^2-v
^2+1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576],
[-4, -4], [-394777/262144, -3158215/2097152], [-3, -3]]]], [[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 =
u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [-4, -4], [-394777/262144, -3158215/2097152], [-\
1655969/1048576, -3311937/2097152]]]], [[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 = u^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], [-394777/262144, -3158215/
2097152], [-1/4194304, -1/4194304]]]], [[1, 3, 1, 6, 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], [-394777/262144, -3158215/2097152], [51749/32768, 1655969/
1048576]]]], [[1, 3, 1, 6, 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], [-\
394777/262144, -3158215/2097152], [3, 3]]]], [[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 < x), z = z], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [-7357527/4194304, -7357527/4194304], [-16847195/8388608, -\
16847195/8388608], [0, 0]]]], [[1, 10, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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,
7, 7, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), And(0 < x,x < 1), x+2 < y, z < -(y
-x)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [1/2,
1/2], [4, 4], [-3, -3]]]], [[1, 14, 7, 7, 2], [v < -2^(1/2), u = (v^2-1)^(1/2)
, And(0 < x,x < 1), x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [1/2, 1/2], [4, 4], [-7846825/4194304, -\
980853/524288]]]], [[1, 14, 7, 7, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), And(0
< x,x < 1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [
[-3, -3], [741455/262144, 2965821/1048576], [1/2, 1/2], [4, 4], [0, 0]]]], [[1
, 14, 7, 7, 4], [v < -2^(1/2), u = (v^2-1)^(1/2), And(0 < x,x < 1), x+2 < y, z
= (y-x)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [
1/2, 1/2], [4, 4], [980853/524288, 1961707/1048576]]]], [[1, 14, 7, 7, 5], [v
< -2^(1/2), u = (v^2-1)^(1/2), And(0 < x,x < 1), x+2 < y, (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [1/2, 1/2], [4, 4]
, [3, 3]]]], [[1, 16, 1, 7, 1], [v < -2^(1/2), u = -v, x < -1, 0 < y, z < -(y-
x)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [-2, -2], [1, 1], [-3, -3]]]], [
[1, 16, 1, 7, 2], [v < -2^(1/2), u = -v, x < -1, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [3, 3], [-2, -2], [1, 1], [-1816187/1048576, -\
3632373/2097152]]]], [[1, 16, 1, 7, 3], [v < -2^(1/2), u = -v, x < -1, 0 < y,
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [3, 3], [-2
, -2], [1, 1], [-1/4194304, -1/4194304]]]], [[1, 16, 1, 7, 4], [v < -2^(1/2),
u = -v, x < -1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [-\
2, -2], [1, 1], [908093/524288, 1816187/1048576]]]], [[1, 16, 1, 7, 5], [v < -
2^(1/2), u = -v, x < -1, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [
3, 3], [-2, -2], [1, 1], [3, 3]]]], [[2, 1, 1, 4, 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, 4, 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, 4, 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, 9, 1], [v
= -2^(1/2), u = -2, And(-3 < x,x < -1), x+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-2, -2], [2, 2]
, [-3, -3]]]], [[2, 2, 3, 9, 2], [v = -2^(1/2), u = -2, And(-3 < x,x < -1), x+
3 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-2, -2], [-2, -2], [2, 2], [-2, -2]]]], [[2, 2, 3, 9, 3], [v = -2^(1/2), u =
-2, And(-3 < x,x < -1), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-2, -2], [2, 2]
, [0, 0]]]], [[2, 2, 3, 9, 4], [v = -2^(1/2), u = -2, And(-3 < x,x < -1), x+3
< y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
2, -2], [-2, -2], [2, 2], [2, 2]]]], [[2, 2, 3, 9, 5], [v = -2^(1/2), u = -2,
And(-3 < x,x < -1), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-2, -2], [-2, -2], [2, 2], [3, 3]]]], [[2, 9, 9, 3,
1], [v = -2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), And(0 < y,y < u^2
+x-1), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/
2], [7/8, 7/8], [1/16, 1/16], [0, 0]]]], [[2, 11, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 4, 3, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2),
x = -1, And(-u^2+2 < y,y < -1), z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3913339/2097152, 3913339/2097152], [-1, -1], [-2602619/
2097152, -2602619/2097152], [0, 0]]]], [[2, 18, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 = 0, z = z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [501965/2097152,
501965/2097152], [0, 0], [0, 0]]]], [[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, 0 < y, 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, 7, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x
= -u^2+v^2-1, 0 < y, 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, 7, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -
u^2+v^2-1, 0 < y, 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, 7, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -u^
2+v^2-1, 0 < y, 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, 7, 5],
[And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, 0 <
y, (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, 4, 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, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [-598205/1048576, -1196409/2097152], [-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
= 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], [-1374407/2097152, -687203/1048576]]]], [[3, 11, 4, 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, 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, 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, z = (u^2
-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341
/1048576, 987341/1048576], [-1, -1], [-598205/1048576, -1196409/2097152], [
687203/1048576, 171801/262144]]]], [[3, 11, 4, 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, (u^2-v^2+1)^(1/2) < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341
/1048576], [-1, -1], [-598205/1048576, -1196409/2097152], [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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3
, -3], [-8388607/4194304, -8388607/4194304], [-3, -3]]]], [[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(x
-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [-\
8388607/4194304, -8388607/4194304], [-1048577/1048576, -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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3, -3], [-8388607/4194304, -8388607/4194304], [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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3, -3], [-8388607/4194304, -8388607/4194304], [1, 1048577/
1048576]]]], [[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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), (y-x)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576,
1454701/1048576], [-3, -3], [-8388607/4194304, -8388607/4194304], [3, 3]]]], [
[3, 14, 6, 1, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = 0, y < 0,
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/
1048576, 410915/262144], [0, 0], [-1, -1], [0, 0]]]], [[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-
u^2+v^2+1 < y,y < x), 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 = z], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-1, -1
], [-2, -2], [0, 0]]]], [[4, 5, 9, 9, 1], [v = -1, And(-2^(1/2) < u,u < -1), 
And(0 < x,x < 1), u^2+x < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [1/2, 1/2], [3, 3], [-3, -3]]]], [[4, 5, 9
, 9, 2], [v = -1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), u^2+x < y, z = -
(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576],
[1/2, 1/2], [3, 3], [-3315889/2097152, -207243/131072]]]], [[4, 5, 9, 9, 3], [
v = -1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), u^2+x < y, And(-(y-x)^(1/2
) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [1/2, 1/2], [3, 3], [0, 0]]]], [[4, 5, 9, 9, 4], [v = -1, 
And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), u^2+x < y, z = (y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [3
, 3], [207243/131072, 1657945/1048576]]]], [[4, 5, 9, 9, 5], [v = -1, And(-2^(
1/2) < u,u < -1), And(0 < x,x < 1), u^2+x < y, (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [3
, 3], [3, 3]]]], [[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 = 0, z < -2^(1/2)], [regular_chain, [[-\
1, -1], [741455/524288, 1482911/1048576], [-2, -2], [0, 0], [-3, -3]]]], [[4,
12, 2, 4, 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, 4, 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, 4, 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, 4, 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, 1, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), 
And(0 < x,x < 1), y < x-1, z = z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2]
, [1/2, 1/2], [-2, -2], [0, 0]]]], [[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 = x, z < 0], [regular_chain,
[[-1/2, -1/2], [-343151/262144, -343151/262144], [2, 2], [2, 2], [-1, -1]]]],
[[5, 3, 11, 6, 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, 6, 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, 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 < -(y-
x)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [
1534619/2097152, 1534619/2097152], [4117813/2097152, 4117813/2097152], [-3, -3
]]]], [[5, 11, 9, 7, 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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2
)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [1534619/
2097152, 1534619/2097152], [4117813/2097152, 4117813/2097152], [-1163761/
1048576, -72735/65536]]]], [[5, 11, 9, 7, 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(x < y,y < u^2-v^2+
x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [1534619/2097152, 1534619/2097152], [4117813/
2097152, 4117813/2097152], [0, 0]]]], [[5, 11, 9, 7, 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(x < y,
y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [1534619/2097152, 1534619/2097152], [4117813/2097152,
4117813/2097152], [72735/65536, 1163761/1048576]]]], [[5, 11, 9, 7, 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(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2
], [343151/262144, 343151/262144], [1534619/2097152, 1534619/2097152], [
4117813/2097152, 4117813/2097152], [3, 3]]]], [[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(x-u^2+v^2+1 < y,y < x
), z = z], [regular_chain, [[-1/2, -1/2], [3, 3], [-43/8, -43/8], [-37/4, -37/
4], [0, 0]]]], [[6, 5, 7, 9, 1], [v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x <
0), u^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3
/8, -3/8], [2, 2], [-3, -3]]]], [[6, 5, 7, 9, 2], [v = 0, And(-1 < u,u < 0), 
And(u^2-1 < x,x < 0), u^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[0, 0],
[-1/2, -1/2], [-3/8, -3/8], [2, 2], [-3231929/2097152, -403991/262144]]]], [[6
, 5, 7, 9, 3], [v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), u^2+x+1 < y, 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2],
[-3/8, -3/8], [2, 2], [0, 0]]]], [[6, 5, 7, 9, 4], [v = 0, And(-1 < u,u < 0),
And(u^2-1 < x,x < 0), u^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[0, 0],
[-1/2, -1/2], [-3/8, -3/8], [2, 2], [403991/262144, 1615965/1048576]]]], [[6,
5, 7, 9, 5], [v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), u^2+x+1 < y, (y-
x)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/8, -3/8], [2, 2], [3
, 3]]]], [[6, 7, 5, 1, 1], [v = 0, And(0 < u,u < 1), And(-1 < x,x < u^2-1), y
< x, z = z], [regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [-2, -2], [0,
0]]]], [[6, 11, 7, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 10, 2, 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, 9, 8, 1], [And(0 < v,v < 1), And
(-v < u,u < v), And(0 < x,x < 1), y = x-u^2+v^2+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, 8, 2], [And(0 < v,v < 1), And(-v < u,u < v), And(0 < x,x < 1), y = x-u^2
+v^2+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, 8, 3], [And
(0 < v,v < 1), And(-v < u,u < v), And(0 < x,x < 1), y = x-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], [1/2, 1/2], [7/4, 7/4], [0, 0]]]], [[7, 7, 9, 8, 4], [And(0 < v,v < 1), 
And(-v < u,u < v), And(0 < x,x < 1), y = x-u^2+v^2+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, 8, 5], [And(0 < v,v < 1), And(-v < u,u < v), And
(0 < x,x < 1), y = x-u^2+v^2+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, 6, 7, 1], [And(0 <
v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, 2*u^2-2*v^2 < y, z < -(
y-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [-624419/1048576, -1248837/2097152], [2, 2], [-3, -3]]]], [[7, 9, 6,
7, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, 2*u^2-2
*v^2 < y, z = -(y-u^2+v^2+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, 7, 3], [And(0 < v,v < 1), And(v
< u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, 2*u^2-2*v^2 < y, And(-(y-u^2+v^2+1)^(1/
2) < z,z < (y-u^2+v^2+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, 7, 4], [And(0 < v,v < 1), And(v < u,u < (v
^2+1)^(1/2)), x = u^2-v^2-1, 2*u^2-2*v^2 < y, z = (y-u^2+v^2+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, 7, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, 2*u^
2-2*v^2 < y, (y-u^2+v^2+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, 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 = 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, 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 = 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,
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 = 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, 6, 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, 6, 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, 5, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-1 < x,
x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 < -u^2, z = z]
, [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1527887/
1048576, -763943/524288], [-3, -3], [0, 0]]]], [[8, 6, 5, 3, 1], [v = 1, u = -\
1, And(0 < x,x < 1), And(0 < y,y < x), z = z], [regular_chain, [[1, 1], [-1, -\
1], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[8, 11, 5, 3, 1], [v = 1, And(1 < u,u
< 2^(1/2)), And(-1 < x,x < u^2-2), And(x < y,y < x-u^2+2), z < -(y-x)^(1/2)],
[regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3235683/4194304
, -3235683/4194304], [-4194307/8388608, -4194307/8388608], [-2, -2]]]], [[8, 
11, 5, 3, 2], [v = 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), And(x < y
,y < x-u^2+2), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-3235683/4194304, -3235683/4194304], [-4194307/8388608, -\
4194307/8388608], [-273157/524288, -1092627/2097152]]]], [[8, 11, 5, 3, 3], [v
= 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), And(x < y,y < x-u^2+2), 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304], [-4194307/
8388608, -4194307/8388608], [-1/4194304, -1/4194304]]]], [[8, 11, 5, 3, 4], [v
= 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), And(x < y,y < x-u^2+2), z
= (y-x)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [
-3235683/4194304, -3235683/4194304], [-4194307/8388608, -4194307/8388608], [
546313/1048576, 273157/524288]]]], [[8, 11, 5, 3, 5], [v = 1, And(1 < u,u < 2^
(1/2)), And(-1 < x,x < u^2-2), And(x < y,y < x-u^2+2), (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3235683/4194304,
-3235683/4194304], [-4194307/8388608, -4194307/8388608], [2, 2]]]], [[8, 12, 9
, 2, 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, 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 < -(y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-\
3647693/2097152, -3647693/2097152], [2, 2], [-3, -3]]]], [[9, 3, 3, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-v^2+x+1 < y, And(-(y-x)^
(1/2) < z,z < (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, z = (y-x)^(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, 9,
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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-\
3647693/2097152, -3647693/2097152], [2, 2], [3, 3]]]], [[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 < x, z = z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [-2, -2], [0, 0]]
]], [[9, 13, 10, 3, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)),
x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [1, 1], [1/2, 1/2], [0, 0]]]], [
[10, 2, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 8, 7, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x =
u^2-3, 2*u^2-4 < y, z < -(y-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-3913339/2097152, -3913339/2097152], [505467/1048576, 
126367/262144], [4, 4], [-3, -3]]]], [[10, 3, 8, 7, 2], [v = 2^(1/2), And(-2 <
u,u < -3^(1/2)), x = u^2-3, 2*u^2-4 < y, z = -(y-u^2+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, 7, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = u^2-3, 2*u^
2-4 < y, And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+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, 7
, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = u^2-3, 2*u^2-4 < y, z = (y-u
^2+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, 7, 5], [v = 2^(1/2), And(-2 < u,u < -3
^(1/2)), x = u^2-3, 2*u^2-4 < y, (y-u^2+3)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [505467
/1048576, 126367/262144], [4, 4], [3, 3]]]], [[10, 8, 5, 2, 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, 2, 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, 2, 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, 4, 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, 5, 1], [
v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 1, And(1 < y,y < -u^2+4), 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(1 < y,y <
-u^2+4), 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(1 < 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], [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(1 < y,y < -u^2+4), 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(1 < y,y < -u^2
+4), (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 = 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, 4, 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, 4, 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, 5, 1], [v = 2^(1
/2), u = 2, 1 < x, And(x-1 < y,y < 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(u^2-v^2-1 < y,y < 2*u^2-2*v^2), z < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3161161/
2097152, -395145/262144], [-2644589/2097152, -2644589/2097152], [-2, -2]]]], [
[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(u^2-v^2-1 < y,y < 2*u^2-2*v^2), z = -(y-u^2+v^2+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, 3, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-
v^2-1, And(u^2-v^2-1 < y,y < 2*u^2-2*v^2), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y
-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-3161161/2097152, -395145/262144], [-2644589/2097152, -2644589/
2097152], [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(u^2-v^2-1 < y,y < 2*u^2-2*v^2), z = (y-u^2+v^2+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, 3, 5], [2^(1/2) < v, And(-v < u,u
< -(v^2-1)^(1/2)), x = u^2-v^2-1, And(u^2-v^2-1 < y,y < 2*u^2-2*v^2), (y-u^2+v
^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152
], [-3161161/2097152, -395145/262144], [-2644589/2097152, -2644589/2097152], [
2, 2]]]], [[11, 8, 5, 3, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-1 < x,x <
0), And(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [-1/2, -1/2], [-1/4, -1/4], [-2, -2]]]], [[11, 8,
5, 3, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0
), z = -(y-x)^(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, 3, 3], [2^(
1/2) < v, u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), And(-(y-x)^
(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [-1/2, -1/2], [-1/4, -1/4], [0, 0]]]], [[11, 8, 5, 3, 4], [
2^(1/2) < v, u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z = (y-x
)^(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, 3, 5], [2^(1/2) < v, u = -(
v^2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [
-1/4, -1/4], [2, 2]]]], [[11, 12, 7, 6, 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, 6, 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, 6, 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, 7, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2
-1)^(1/2)), 1 < x, And(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [2, 2], [1706123/
524288, 1706123/524288], [-3, -3]]]], [[11, 13, 11, 7, 2], [2^(1/2) < v, And((
v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, And(x < y,y < x-u^2+v^2+1), z = -(
y-x)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [2, 2]
, [1706123/524288, 1706123/524288], [-1174299/1048576, -587149/524288]]]], [[
11, 13, 11, 7, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 <
x, And(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [2, 2], [1706123/
524288, 1706123/524288], [0, 0]]]], [[11, 13, 11, 7, 4], [2^(1/2) < v, And((v^
2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, And(x < y,y < x-u^2+v^2+1), z = (y-x
)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [2, 2], [
1706123/524288, 1706123/524288], [587149/524288, 1174299/1048576]]]], [[11, 13
, 11, 7, 5], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, 
And(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [2, 2], [1706123/524288, 1706123/524288], [3,
3]]]], [[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 < -y^(1/2)], [
regular_chain, [[3, 3], [5, 5], [0, 0], [17/2, 17/2], [-4, -4]]]], [[11, 21, 6
, 5, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 0, And(0 < y,y < u^2-v^2+1), z =
-y^(1/2)], [regular_chain, [[3, 3], [5, 5], [0, 0], [17/2, 17/2], [-24456785/
8388608, -1528549/524288]]]], [[11, 21, 6, 5, 3], [2^(1/2) < v, (v^2+2)^(1/2)
< u, x = 0, And(0 < y,y < u^2-v^2+1), 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,
5, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 0, And(0 < y,y < u^2-v^2+1), z = y
^(1/2)], [regular_chain, [[3, 3], [5, 5], [0, 0], [17/2, 17/2], [1528549/
524288, 3057099/1048576]]]], [[11, 21, 6, 5, 5], [2^(1/2) < v, (v^2+2)^(1/2) <
u, x = 0, And(0 < y,y < u^2-v^2+1), y^(1/2) < z], [regular_chain, [[3, 3], [5,
5], [0, 0], [17/2, 17/2], [4, 4]]]], [[1, 4, 3, 7, 1], [v < -2^(1/2), u = -(v^
2+1)^(1/2), And(-2 < x,x < -1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[
-3, -3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [2, 2], [-3, -3]]]],
[[1, 4, 3, 7, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), x+2 <
y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/
65536], [-3/2, -3/2], [2, 2], [-7846825/4194304, -980853/524288]]]], [[1, 4, 3
, 7, 3], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y, And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [-3/2, -3/2], [2, 2], [0, 0]]]], [[1, 4, 3, 7, 4], [v
< -2^(1/2), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y, z = (y-x)^(1/2)],
[regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [2
, 2], [980853/524288, 1961707/1048576]]]], [[1, 4, 3, 7, 5], [v < -2^(1/2), u
= -(v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y, (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [2,
2], [3, 3]]]], [[1, 5, 9, 8, 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], [2090247/1048576, 
261281/131072], [-3, -3]]]], [[1, 5, 9, 8, 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], [
2090247/1048576, 261281/131072], [-1281417/1048576, -160177/131072]]]], [[1, 5
, 9, 8, 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], [
2090247/1048576, 261281/131072], [0, 0]]]], [[1, 5, 9, 8, 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], [2090247/1048576, 261281/131072], [160177/131072, 1281417/1048576]]]], [
[1, 5, 9, 8, 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], [2090247/1048576, 261281/131072],
[3, 3]]]], [[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 < 0), z = z], [
regular_chain, [[-3, -3], [0, 0], [9/2, 9/2], [-7/4, -7/4], [0, 0]]]], [[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 = z], [regular_chain, [[-3, -3], [1435023
/524288, 1435023/524288], [-919691/524288, -919691/524288], [-4, -4], [0, 0]]]
], [[1, 17, 9, 2, 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, 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 < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(
y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0),
z = (y+1)^(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(-1 < y,
y < 0), (y+1)^(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 = x, z < 0], [regular_chain,
[[-1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [
505467/2097152, 505467/2097152], [252733/1048576, 126367/524288], [-1, -1]]]],
[[2, 3, 7, 6, 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], [252733/
1048576, 126367/524288], [0, 0]]]], [[2, 3, 7, 6, 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], [252733/1048576, 126367/524288], [1, 1]]]], [
[2, 5, 3, 2, 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, 2, 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, 2, 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, 7, 1, 1, 1], [v = -2^(1/2), And(v < u,u < -1), x < u^2-3, y < x, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-3, -3], [-4, -4], [0, 0]]]], [[2, 8, 4, 3, 1], [v = -2^(1/
2), u = -1, x = -1, And(-1 < y,y < 0), z < -(y+1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [-1/2, -1/2], [-2, -2]]]
], [[2, 8, 4, 3, 2], [v = -2^(1/2), u = -1, x = -1, And(-1 < y,y < 0), z = -(y
+1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1
, -1], [-1/2, -1/2], [-1482911/2097152, -741455/1048576]]]], [[2, 8, 4, 3, 3],
[v = -2^(1/2), u = -1, x = -1, And(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+
1)^(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 = (y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1, -1], [-1, -1], [-1/2, -1/2], [741455/1048576, 46341/65536
]]]], [[2, 8, 4, 3, 5], [v = -2^(1/2), u = -1, x = -1, And(-1 < y,y < 0), (y+1
)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [
-1, -1], [-1/2, -1/2], [2, 2]]]], [[2, 14, 1, 5, 1], [v = -2^(1/2), u = -v, x
< -1, And(x+1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [741455/524288, 1482911/1048576], [-2, -2], [-1/2, -\
1/2], [-3, -3]]]], [[2, 14, 1, 5, 2], [v = -2^(1/2), u = -v, x < -1, And(x+1 <
y,y < 0), z = -(y-x)^(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, 5, 3], [v = -2^(1/2), u = -v, x < -1,
And(x+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
-1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [-2, -2],
[-1/2, -1/2], [0, 0]]]], [[2, 14, 1, 5, 4], [v = -2^(1/2), u = -v, x < -1, And
(x+1 < y,y < 0), z = (y-x)^(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, 5, 5], [v = -2^(1/2), u = -v, x < -1,
And(x+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [741455/524288, 1482911/1048576], [-2, -2], [-1/2, -1/2], [3,
3]]]], [[2, 15, 9, 8, 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], [2070669/
1048576, 1035335/524288], [-3, -3]]]], [[2, 15, 9, 8, 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], [2070669/1048576, 1035335/524288], [-1273381/1048576, -\
318345/262144]]]], [[2, 15, 9, 8, 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], [2070669/1048576, 1035335/524288], [0, 0]]]], [[2, 15, 9
, 8, 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], [2070669/1048576, 1035335/
524288], [318345/262144, 1273381/1048576]]]], [[2, 15, 9, 8, 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], [2070669/1048576, 1035335/524288], [3, 3]]]], [[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 = x-
u^2+v^2+1, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3,
-3], [-10, -10], [-8673241/524288, -17346481/1048576], [0, 0]]]], [[3, 2, 3, 7
, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0
< y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-2, -2], [1/2, 1/2], [-3, -3]
]]], [[3, 2, 3, 7, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-3 <
x,x < -1), And(0 < y,y < x+3), z = -(y-x)^(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, 7, 3], [And(-2^(1/
2) < v,v < -1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-2, -2], [1/2, 1/2],
[0, 0]]]], [[3, 2, 3, 7, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), 
And(-3 < x,x < -1), And(0 < y,y < x+3), z = (y-x)^(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, 7, 5], [And(-
2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3
), (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [-2, -2], [1/2, 1/2], [3, 3]]]], [[3, 8, 4
, 1, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -1, y < -1, z = z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-1, -1], [-2, -2], [0, 0]]]], [[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), x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152], [5, 5], [-4, -4]
]]], [[3, 9, 9, 9, 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), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1527887/
2097152, 1527887/2097152], [5, 5], [-2167143/1048576, -1083571/524288]]]], [[3
, 9, 9, 9, 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), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y
-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [
1527887/2097152, 1527887/2097152], [5, 5], [0, 0]]]], [[3, 9, 9, 9, 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), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152], [5, 5]
, [1083571/524288, 2167143/1048576]]]], [[3, 9, 9, 9, 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), x
-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [0, 0], [1527887/2097152, 1527887/2097152], [5, 5], [4, 4]]]], [[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 = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1
, -1], [-15818595/2097152, -7909297/1048576], [0, 0]]]], [[4, 1, 6, 5, 1], [v
= -1, u < -3^(1/2), x = 0, And(0 < y,y < u^2), z < -y^(1/2)], [regular_chain,
[[-1, -1], [-3, -3], [0, 0], [9/2, 9/2], [-4, -4]]]], [[4, 1, 6, 5, 2], [v = -\
1, u < -3^(1/2), x = 0, And(0 < y,y < u^2), z = -y^(1/2)], [regular_chain, [[-\
1, -1], [-3, -3], [0, 0], [9/2, 9/2], [-1112183/524288, -2224365/1048576]]]],
[[4, 1, 6, 5, 3], [v = -1, u < -3^(1/2), x = 0, And(0 < y,y < u^2), 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, 5, 4], [v = -1, u < -3^(1/2), x = 0, And(0 < y,y < u^2),
z = y^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [0, 0], [9/2, 9/2], [
2224365/1048576, 1112183/524288]]]], [[4, 1, 6, 5, 5], [v = -1, u < -3^(1/2),
x = 0, And(0 < y,y < u^2), y^(1/2) < z], [regular_chain, [[-1, -1], [-3, -3],
[0, 0], [9/2, 9/2], [4, 4]]]], [[4, 7, 5, 9, 1], [v = -1, And(-1 < u,u < 0), 
And(-1 < x,x < -u^2), x-u^2+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1
], [-1/2, -1/2], [-5/8, -5/8], [3, 3], [-3, -3]]]], [[4, 7, 5, 9, 2], [v = -1,
And(-1 < u,u < 0), And(-1 < x,x < -u^2), x-u^2+2 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [3, 3], [-7985717/
4194304, -15971433/8388608]]]], [[4, 7, 5, 9, 3], [v = -1, And(-1 < u,u < 0),
And(-1 < x,x < -u^2), x-u^2+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [3, 3], [-1/16777216, -1
/16777216]]]], [[4, 7, 5, 9, 4], [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u
^2), x-u^2+2 < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [
-5/8, -5/8], [3, 3], [1996429/1048576, 998215/524288]]]], [[4, 7, 5, 9, 5], [v
= -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), x-u^2+2 < y, (y-x)^(1/2) < z],
[regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [3, 3], [3, 3]]]], [[4,
9, 1, 5, 1], [v = -1, And(0 < u,u < 1), x < u^2-2, And(u^2+x < y,y < x-u^2+2),
z < -(y-x)^(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
< y,y < x-u^2+2), z = -(y-x)^(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 < y,y < x-u^2+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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 < y,y < x-u^2+2), z =
(y-x)^(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 < y,y
< x-u^2+2), (y-x)^(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, z < -u], [regular_chain, [[-1, -1], [3299097/
2097152, 3299097/2097152], [497805/2097152, 497805/2097152], [710965/262144, 
2843861/1048576], [-3, -3]]]], [[4, 13, 7, 8, 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], [710965/
262144, 2843861/1048576], [-3299097/2097152, -3299097/2097152]]]], [[4, 13, 7,
8, 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], [710965/262144, 2843861/1048576],
[-1/4194304, -1/4194304]]]], [[4, 13, 7, 8, 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], [710965/
262144, 2843861/1048576], [412387/262144, 1649549/1048576]]]], [[4, 13, 7, 8,
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], [710965/262144, 2843861/1048576], [3, 3]]]], [[4, 15
, 1, 4, 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, 4, 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, 4, 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, 1, 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 = z], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [-624419/1048576, -1248837/2097152], [-2,
-2], [0, 0]]]], [[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 = 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, 4
, 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, 4
, 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, 4, 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, 4, 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, 5, 1], [And(-1 < v,v < 0),
And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(x-u^2+v^2+1 < y,y < u^2-v^2
+x+1), z < -(y-x)^(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(x-u^2+v^2+1 < y,y
< u^2-v^2+x+1), z = -(y-x)^(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(x-u^2+v
^2+1 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = (y-x)^(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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), (y-x)^(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 < -(y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1172343/1048576, 146543/131072], [-1, -1], [2, 2], [-3, -3]]]], [[5, 10, 4, 7,
2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = -1, 1 < y, z = -(y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1, -1], [2,
2], [-1816187/1048576, -3632373/2097152]]]], [[5, 10, 4, 7, 3], [And(-1 < v,v
< 0), u = (v^2+1)^(1/2), x = -1, 1 < y, 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], [-1/4194304, -1/4194304]]]], [[5, 10, 4, 7, 4], [And(-1 < v,v < 0), u =
(v^2+1)^(1/2), x = -1, 1 < y, z = (y+1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[1172343/1048576, 146543/131072], [-1, -1], [2, 2], [908093/524288, 1816187/
1048576]]]], [[5, 10, 4, 7, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = -1,
1 < y, (y+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 
146543/131072], [-1, -1], [2, 2], [3, 3]]]], [[6, 2, 8, 7, 1], [v = 0, u = -2^
(1/2), x = 1, 4 < y, z < -(y-1)^(1/2)], [regular_chain, [[0, 0], [-1482911/
1048576, -741455/524288], [1, 1], [5, 5], [-3, -3]]]], [[6, 2, 8, 7, 2], [v =
0, u = -2^(1/2), x = 1, 4 < y, z = -(y-1)^(1/2)], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [1, 1], [5, 5], [-2, -2]]]], [[6, 2, 8, 7, 3
], [v = 0, u = -2^(1/2), x = 1, 4 < y, 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, 7, 4], [v = 0, u = -2^(1/2), x = 1, 4 < y, z = (y-1)^(1/2
)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [1, 1], [5, 5
], [2, 2]]]], [[6, 2, 8, 7, 5], [v = 0, u = -2^(1/2), x = 1, 4 < y, (y-1)^(1/2
) < z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [1, 1], [
5, 5], [3, 3]]]], [[6, 4, 2, 5, 1], [v = 0, u = -1, x = -2, 0 < y, z < -(y+2)^
(1/2)], [regular_chain, [[0, 0], [-1, -1], [-2, -2], [1, 1], [-3, -3]]]], [[6,
4, 2, 5, 2], [v = 0, u = -1, x = -2, 0 < y, z = -(y+2)^(1/2)], [regular_chain,
[[0, 0], [-1, -1], [-2, -2], [1, 1], [-1816187/1048576, -3632373/2097152]]]],
[[6, 4, 2, 5, 3], [v = 0, u = -1, x = -2, 0 < y, And(-(y+2)^(1/2) < z,z < (y+2
)^(1/2))], [regular_chain, [[0, 0], [-1, -1], [-2, -2], [1, 1], [-1/4194304, -\
1/4194304]]]], [[6, 4, 2, 5, 4], [v = 0, u = -1, x = -2, 0 < y, z = (y+2)^(1/2
)], [regular_chain, [[0, 0], [-1, -1], [-2, -2], [1, 1], [908093/524288, 
1816187/1048576]]]], [[6, 4, 2, 5, 5], [v = 0, u = -1, x = -2, 0 < y, (y+2)^(1
/2) < z], [regular_chain, [[0, 0], [-1, -1], [-2, -2], [1, 1], [3, 3]]]], [[6,
9, 1, 6, 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], [-3235683/2097152, -1617841/1048576], [-3, -3]]]], [[6, 9, 1, 6, 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], [-\
3235683/2097152, -1617841/1048576], [-410915/262144, -3287319/2097152]]]], [[6
, 9, 1, 6, 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], [-3235683/2097152, -1617841/1048576], [-1
/4194304, -1/4194304]]]], [[6, 9, 1, 6, 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], [-3235683/2097152, -1617841/1048576], [
1643659/1048576, 410915/262144]]]], [[6, 9, 1, 6, 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], [-3235683/2097152, -1617841/
1048576], [3, 3]]]], [[6, 10, 4, 2, 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, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 1, 1],
[And(0 < v,v < 1), u = -v, And(-1 < x,x < 0), y < x, z = z], [regular_chain, [
[1/2, 1/2], [-1/2, -1/2], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[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 = x, z < 0
], [regular_chain, [[1/2, 1/2], [3, 3], [35/8, 35/8], [35/8, 35/8], [-1, -1]]]
], [[7, 13, 9, 6, 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, 6, 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, 7, 1], [v = 1, u < -3^(1/2)
, u^2-2 < x, And(x < y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[1, 1],
[-3, -3], [8, 8], [25/2, 25/2], [-4, -4]]]], [[8, 1, 11, 7, 2], [v = 1, u < -3
^(1/2), u^2-2 < x, And(x < y,y < u^2+x), z = -(y-x)^(1/2)], [regular_chain, [[
1, 1], [-3, -3], [8, 8], [25/2, 25/2], [-1112183/524288, -2224365/1048576]]]],
[[8, 1, 11, 7, 3], [v = 1, u < -3^(1/2), u^2-2 < x, And(x < y,y < u^2+x), And(
-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-3, -3], [8, 8],
[25/2, 25/2], [0, 0]]]], [[8, 1, 11, 7, 4], [v = 1, u < -3^(1/2), u^2-2 < x, 
And(x < y,y < u^2+x), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [8,
8], [25/2, 25/2], [2224365/1048576, 1112183/524288]]]], [[8, 1, 11, 7, 5], [v
= 1, u < -3^(1/2), u^2-2 < x, And(x < y,y < u^2+x), (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [-3, -3], [8, 8], [25/2, 25/2], [4, 4]]]], [[8, 7, 11,
8, 1], [v = 1, And(-1 < u,u < 0), 1 < x, y = x-u^2+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, 8, 2], [v = 1, And(-1 < u,u < 0), 1 < x, y = x-u^2+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, 8, 3], [v = 1, And(-1 < u,u < 0), 1 < x, y
= x-u^2+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, 8, 4], [v = 1,
And(-1 < u,u < 0), 1 < x, y = x-u^2+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, 8, 5], [v = 1, And(-1 < u,u < 0), 1 < x, y = x-u^2+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, 6, 7, 1], [v = 1, And(0 < u,u < 1), x = -u^2, -2*u^2+2 < y, 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, 7, 2], [v = 1, And(0 < u,u < 1), x = -u^2, -2*u^2+2 < y, 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, 7, 3], [v = 1, And(0 < u,u <
1), x = -u^2, -2*u^2+2 < y, 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, 7, 4], [v = 1, And(0 < u,u < 1), x = -u^2, -2*u^2+2 <
y, 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, 7, 5], [v = 1, And(0 < u,u
< 1), x = -u^2, -2*u^2+2 < y, (u^2+y)^(1/2) < z], [regular_chain, [[1, 1], [1/
2, 1/2], [-1/4, -1/4], [3, 3], [3, 3]]]], [[8, 14, 2, 3, 1], [v = 1, u = 3^(1/
2), x = -3, And(-4 < y,y < -3), z = z], [regular_chain, [[1, 1], [908093/
524288, 1816187/1048576], [-3, -3], [-7/2, -7/2], [0, 0]]]], [[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, u^2-v^2+x+1 < y, z < -(y-x)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [2, 2], [5, 5], [-3, -3]]]], [[9, 5, 11, 9, 2], [And(1 < v,v
< 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, u^2-v^2+x+1 < y, z = -(y-x)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [2, 2], [5, 5], [-1816187/1048576, -3632373/
2097152]]]], [[9, 5, 11, 9, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) <
u,u < -v), 1 < x, u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[9, 5, 11, 9,
4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, u^2-v^2+x+
1 < y, z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-5818805/4194304, -5818805/4194304], [2, 2], [5, 5], [908093/524288, 1816187/
1048576]]]], [[9, 5, 11, 9, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) <
u,u < -v), 1 < x, u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [5,
5], [3, 3]]]], [[9, 7, 8, 6, 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], [1646781/1048576, 823391/524288], [-3, -3]]]], [[9, 7, 8, 6, 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], [1646781/1048576, 823391/524288],
[-1314069/1048576, -328517/262144]]]], [[9, 7, 8, 6, 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], [1646781/1048576, 
823391/524288], [0, 0]]]], [[9, 7, 8, 6, 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], [1646781/1048576, 823391/524288], [328517/262144, 
1314069/1048576]]]], [[9, 7, 8, 6, 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], [1646781/1048576, 823391/524288], [3, 3]]]], [[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 = x, z < 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [-1/2, -1/2], [-1/2, -1/2], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [0
, 0], [-1/2, -1/2], [-1/2, -1/2], [0, 0]]]], [[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 = x,
0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1/2, -1
/2], [-1/2, -1/2], [1, 1]]]], [[9, 10, 9, 3, 1], [And(1 < v,v < 2^(1/2)), u =
(v^2-1)^(1/2), 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [354469/524288, 708939/1048576], [2, 2], [1, 1], [0
, 0]]]], [[9, 16, 9, 6, 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, 6, 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, 6, 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, 5, 1],
[v = 2^(1/2), u < -2, x = -u^2+1, And(-u^2+1 < y,y < 0), z < -(u^2+y-1)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-8, -8], [-4,
-4], [-3, -3]]]], [[10, 1, 2, 5, 2], [v = 2^(1/2), u < -2, x = -u^2+1, And(-u^
2+1 < y,y < 0), z = -(u^2+y-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [-8, -8], [-4, -4], [-2, -2]]]], [[10, 1, 2, 5, 3]
, [v = 2^(1/2), u < -2, x = -u^2+1, And(-u^2+1 < y,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], [-4, -4], [0, 0]]]], [[10, 1, 2, 5, 4], [v = 2^(1/2), u
< -2, x = -u^2+1, And(-u^2+1 < y,y < 0), z = (u^2+y-1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-3, -3], [-8, -8], [-4, -4], [2, 2]]]], [[
10, 1, 2, 5, 5], [v = 2^(1/2), u < -2, x = -u^2+1, And(-u^2+1 < y,y < 0), (u^2
+y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3],
[-8, -8], [-4, -4], [3, 3]]]], [[10, 5, 5, 5, 1], [v = 2^(1/2), And(-3^(1/2) <
u,u < -v), And(-1 < x,x < u^2-3), And(x-u^2+3 < y,y < 0), z < -(y-x)^(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(x-u^2+3 < y,y < 0), z = -(y-x)^(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(x-u^2+3 < y,y < 0), And
(-(y-x)^(1/2) < z,z < (y-x)^(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(x-u^2+3 < y,y < 0), z = (y-x)^(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(x-u^2+3 < y,y < 0), (y-x)^(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 = u^2-3,
z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576,
-1265743/1048576], [-3235683/2097152, -1617841/1048576], [-3235683/2097152, -\
1617841/1048576], [-1, -1]]]], [[10, 7, 2, 2, 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], [-3235683/2097152, -1617841/1048576], [0, 0]]]], [[10, 7, 2, 2, 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], [-3235683/2097152, -1617841/1048576], [1,
1]]]], [[10, 12, 9, 5, 1], [v = 2^(1/2), u = 1, 1 < x, And(x < y,y < x+2), z <
-(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [2,
2], [3, 3], [-2, -2]]]], [[10, 12, 9, 5, 2], [v = 2^(1/2), u = 1, 1 < x, And(x
< y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1, 1], [2, 2], [3, 3], [-1, -1]]]], [[10, 12, 9, 5, 3], [v = 2^(1/2
), u = 1, 1 < x, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [2, 2], [3, 3], [0,
0]]]], [[10, 12, 9, 5, 4], [v = 2^(1/2), u = 1, 1 < x, And(x < y,y < x+2), z =
(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [2, 2
], [3, 3], [1, 1]]]], [[10, 12, 9, 5, 5], [v = 2^(1/2), u = 1, 1 < x, And(x <
y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576
], [1, 1], [2, 2], [3, 3], [2, 2]]]], [[10, 14, 3, 3, 1], [v = 2^(1/2), u = v,
And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v = 2^(1/2), u = v, And(-1 < x
,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [v = 2^(1
/2), u = v, And(-1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v =
2^(1/2), u = v, And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(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(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(
-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z
= (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = 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], [391655/131072, 3133241/1048576], [-3, -3]]]], [[11, 3, 8, 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
= 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], [391655/131072, 
3133241/1048576], [-1655969/1048576, -3311937/2097152]]]], [[11, 3, 8, 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 = 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], [391655/131072, 3133241/1048576], [-1/4194304, -1/4194304]]]], [[11,
3, 8, 6, 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], [391655/
131072, 3133241/1048576], [51749/32768, 1655969/1048576]]]], [[11, 3, 8, 6, 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], [391655/131072, 
3133241/1048576], [3, 3]]]], [[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(u^2-v^2+2 < y,y < 1), 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 = 0,
z < -(-x)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-11/2, -11/2], [0, 0], [-4
, -4]]]], [[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 = 0, z = -(-x)^(1/2)], [regular_chain, [
[3, 3], [0, 0], [-11/2, -11/2], [0, 0], [-2459129/1048576, -307391/131072]]]],
[[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 = 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
, 6, 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, 6, 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, 15, 6, 6, 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]
, [133001/131072, 1064009/1048576], [-3, -3]]]], [[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 = -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], [133001/131072, 1064009/1048576], [-1287385
/1048576, -160923/131072]]]], [[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 = -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], [133001/131072, 1064009/1048576],
[0, 0]]]], [[11, 15, 6, 6, 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], [
133001/131072, 1064009/1048576], [160923/131072, 1287385/1048576]]]], [[11, 15
, 6, 6, 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], [133001/131072, 1064009
/1048576], [3, 3]]]], [[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(x-u^2+v^2+1 < y,y < 0), z < -(y-x)^(1/
2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-2614535/
2097152, -2614535/2097152], [-1552149/4194304, -1552149/4194304], [-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(x-u^2+v^2+1 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[
3, 3], [403851/131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [
-1552149/4194304, -1552149/4194304], [-7854203/8388608, -3927101/4194304]]]],
[[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(x-u^2+v^2+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-2614535/2097152,
-2614535/2097152], [-1552149/4194304, -1552149/4194304], [-1/8388608, -1/
8388608]]]], [[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(x-u^2+v^2+1 < y,y < 0), z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-2614535/2097152, -\
2614535/2097152], [-1552149/4194304, -1552149/4194304], [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(x-u^2+v^2+1 < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-2614535/2097152, -\
2614535/2097152], [-1552149/4194304, -1552149/4194304], [2, 2]]]], [[1, 4, 4,
7, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = -1, 1 < y, z < -(y+1)^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-1, -1], [2, 2],
[-3, -3]]]], [[1, 4, 4, 7, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = -1, 1 <
y, z = -(y+1)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/
65536], [-1, -1], [2, 2], [-1816187/1048576, -3632373/2097152]]]], [[1, 4, 4,
7, 3], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = -1, 1 < y, And(-(y+1)^(1/2) < z,
z < (y+1)^(1/2))], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536
], [-1, -1], [2, 2], [-1/4194304, -1/4194304]]]], [[1, 4, 4, 7, 4], [v < -2^(1
/2), u = -(v^2+1)^(1/2), x = -1, 1 < y, z = (y+1)^(1/2)], [regular_chain, [[-3
, -3], [-3315889/1048576, -207243/65536], [-1, -1], [2, 2], [908093/524288, 
1816187/1048576]]]], [[1, 4, 4, 7, 5], [v < -2^(1/2), u = -(v^2+1)^(1/2), x =
-1, 1 < y, (y+1)^(1/2) < z], [regular_chain, [[-3, -3], [-3315889/1048576, -\
207243/65536], [-1, -1], [2, 2], [3, 3]]]], [[1, 5, 10, 2, 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, 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 = x-u^2+v^2+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, 8, 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-u^2+v^2+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, 8, 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-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], [9/2, 9/2], [29/2, 29/2], [0, 0]]]], [[1
, 11, 9, 8, 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 = x-u^2+v^2+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, 8, 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 = x-u^2+v^2+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, 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 = z], [regular_chain, [[-3, -\
3], [1435023/524288, 1435023/524288], [-919691/524288, -919691/524288], [-\
2372419/1048576, -1186209/524288], [0, 0]]]], [[1, 17, 9, 9, 1], [v < -2^(1/2)
, And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), u^2-v^2+x+1 < y, z < -(y-x)
^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1/2, 1/2]
, [3, 3], [-3, -3]]]], [[1, 17, 9, 9, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1
)^(1/2)), And(0 < x,x < 1), u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain
, [[-3, -3], [403851/131072, 403851/131072], [1/2, 1/2], [3, 3], [-3315889/
2097152, -207243/131072]]]], [[1, 17, 9, 9, 3], [v < -2^(1/2), And(-v < u,u <
(v^2+1)^(1/2)), And(0 < x,x < 1), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y
-x)^(1/2))], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1/2,
1/2], [3, 3], [0, 0]]]], [[1, 17, 9, 9, 4], [v < -2^(1/2), And(-v < u,u < (v^2
+1)^(1/2)), And(0 < x,x < 1), u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1/2, 1/2], [3, 3],
[207243/131072, 1657945/1048576]]]], [[1, 17, 9, 9, 5], [v < -2^(1/2), And(-v
< u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1/2, 1/2], [3, 3],
[3, 3]]]], [[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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -\
3], [3396811/1048576, 3396811/1048576], [-1, -1], [391655/262144, 1566621/
1048576], [-3, -3]]]], [[1, 19, 4, 8, 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], [
391655/262144, 1566621/1048576], [-1655969/1048576, -3311937/2097152]]]], [[1,
19, 4, 8, 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], [
391655/262144, 1566621/1048576], [-1/4194304, -1/4194304]]]], [[1, 19, 4, 8, 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], [391655/262144, 1566621/1048576], [51749/32768, 
1655969/1048576]]]], [[1, 19, 4, 8, 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], [391655/262144, 
1566621/1048576], [3, 3]]]], [[2, 3, 8, 2, 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, 3, 1], [v = -2^(1/2), And(-3^(1/2) < u,
u < v), And(-u^2+1 < x,x < -1), And(x < y,y < x-u^2+3), z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1297479/1048576, -1297479/1048576], [-4088377/4194304, -\
4088377/4194304], [-2, -2]]]], [[2, 5, 3, 3, 2], [v = -2^(1/2), And(-3^(1/2) <
u,u < v), And(-u^2+1 < x,x < -1), And(x < y,y < x-u^2+3), z = -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1297479/1048576, -1297479/1048576], [-4088377/4194304, -\
4088377/4194304], [-268683/524288, -1074731/2097152]]]], [[2, 5, 3, 3, 3], [v
= -2^(1/2), And(-3^(1/2) < u,u < v), And(-u^2+1 < x,x < -1), And(x < y,y < x-u
^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-1297479/
1048576, -1297479/1048576], [-4088377/4194304, -4088377/4194304], [-1/4194304,
-1/4194304]]]], [[2, 5, 3, 3, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(
-u^2+1 < x,x < -1), And(x < y,y < x-u^2+3), z = (y-x)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
1297479/1048576, -1297479/1048576], [-4088377/4194304, -4088377/4194304], [
537365/1048576, 268683/524288]]]], [[2, 5, 3, 3, 5], [v = -2^(1/2), And(-3^(1/
2) < u,u < v), And(-u^2+1 < x,x < -1), And(x < y,y < x-u^2+3), (y-x)^(1/2) < z
], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1297479/1048576, -1297479/1048576], [-4088377/4194304, -\
4088377/4194304], [2, 2]]]], [[2, 6, 7, 7, 1], [v = -2^(1/2), u = v, 1 < x, x+
1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1482911/1048576, -741455/524288], [2, 2], [4, 4], [-3, -3]]]], [[2, 6, 7, 7,
2], [v = -2^(1/2), u = v, 1 < x, x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [2, 2]
, [4, 4], [-1482911/1048576, -741455/524288]]]], [[2, 6, 7, 7, 3], [v = -2^(1/
2), u = v, 1 < x, x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [2, 2], [4, 4], [0, 0]]]], [[2, 6, 7, 7, 4], [v = -2^(1/2), u = v, 1
< x, x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1482911/1048576, -741455/524288], [2, 2], [4, 4], [741455/524288, 
1482911/1048576]]]], [[2, 6, 7, 7, 5], [v = -2^(1/2), u = v, 1 < x, x+1 < y, (
y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1482911/1048576, -741455/524288], [2, 2], [4, 4], [3, 3]]]], [[2, 8, 3, 5, 1],
[v = -2^(1/2), u = -1, And(-2 < x,x < -1), And(0 < y,y < x+2), z < -(y-x)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-3/2, -3/2
], [1/4, 1/4], [-3, -3]]]], [[2, 8, 3, 5, 2], [v = -2^(1/2), u = -1, And(-2 <
x,x < -1), And(0 < y,y < x+2), z = -(y-x)^(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, 5, 3], [v = -2^(1/2), u = -1, And(-2 < x,x < -\
1), And(0 < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[-1482911/1048576, -741455/524288], [-1, -1], [-3/2, -3/2], [1/4, 1/4], [0,
0]]]], [[2, 8, 3, 5, 4], [v = -2^(1/2), u = -1, And(-2 < x,x < -1), And(0 < y,
y < x+2), z = (y-x)^(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, 5, 5], [v = -2^(1/2), u = -1, And(-2 < x,x < -1), And(0 < y,y < x+2), (y
-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1],
[-3/2, -3/2], [1/4, 1/4], [3, 3]]]], [[2, 14, 1, 2, 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,
2, 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, 2, 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, 1, 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], [-1, -1], [0, 0]]]], [[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 < x-u^2+v^2+1, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [-10, -10], [-18, -18], [0, 0]]]
], [[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-1, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-2, -2], [-3, -3], [0, 0]]]],
[[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+2), z < -(y-x)^(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, 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+2), z = -(y-x)^(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, 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+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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+2)
, z = (y-x)^(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, 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+2), (y-x)^(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, 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 = 0, z
= z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1527887/
2097152, 1527887/2097152], [0, 0], [0, 0]]]], [[3, 17, 4, 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), z < -(y+1)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1, -1],
[7909297/2097152, 7909297/2097152], [-4, -4]]]], [[3, 17, 4, 7, 2], [And(-2^(1
/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < u^2-v^2), z = -(y+1)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1, -\
1], [7909297/2097152, 7909297/2097152], [-286309/131072, -2290471/1048576]]]],
[[3, 17, 4, 7, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -1, And(0
< y,y < u^2-v^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [-1, -1], [7909297/2097152, 
7909297/2097152], [0, 0]]]], [[3, 17, 4, 7, 4], [And(-2^(1/2) < v,v < -1), (v^
2+2)^(1/2) < u, x = -1, And(0 < y,y < u^2-v^2), z = (y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1, -1], [
7909297/2097152, 7909297/2097152], [2290471/1048576, 286309/131072]]]], [[3, 
17, 4, 7, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -1, And(0 < y,
y < u^2-v^2), (y+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [-1, -1], [7909297/2097152, 7909297/2097152], [4, 4]]]], [[4
, 1, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = -1, And(-1 < u,u <
0), x = -u^2, -2*u^2+2 < y, 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, 7, 2], [v = -1, And(
-1 < u,u < 0), x = -u^2, -2*u^2+2 < y, 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, 7, 3], [v = -1, And(-1 < u,u < 0), x = -u^2, -2*u^2+2
< y, 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, 7, 4
], [v = -1, And(-1 < u,u < 0), x = -u^2, -2*u^2+2 < y, 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, 7, 5], [v = -1, And(-1 < u,u < 0), x = -u^2, -\
2*u^2+2 < y, (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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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], [497805/1048576, 
248903/524288], [-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], [497805/1048576, 
248903/524288], [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], [497805/1048576, 
248903/524288], [1, 1]]]], [[4, 15, 1, 5, 1], [v = -1, 3^(1/2) < u, x < -u^2,
And(x < y,y < u^2+x), z < -(y-x)^(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(x < y,y < u^2+x), z = -(y-x)^(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(x < y,y < u^2+x), And(-
(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2+x), z = (y-x)^(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(x < y,y < u^2+x), (y-x)^(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 < x, z = z], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-1248837/4194304, -1248837/4194304], [-2, -2], [0
, 0]]]], [[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(0 < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain,
[[-1/2, -1/2], [0, 0], [-9/8, -9/8], [1/16, 1/16], [-3, -3]]]], [[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(0 <
y,y < x-u^2+v^2+1), z = -(y-x)^(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,
7, 3], [And(-1 < v,v < 0), And(v < u,u < -v), And(u^2-v^2-1 < x,x < -1), And(0
< y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[-1/2, -1/2], [0, 0], [-9/8, -9/8], [1/16, 1/16], [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(0 < y,
y < x-u^2+v^2+1), z = (y-x)^(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, 7, 5]
, [And(-1 < v,v < 0), And(v < u,u < -v), And(u^2-v^2-1 < x,x < -1), And(0 < y,
y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [-9
/8, -9/8], [1/16, 1/16], [3, 3]]]], [[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 = x, z < 0], [regular_chain, [[-1
/2, -1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [-3, -3], [-1, -1]]]]
, [[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 = x, z = 0], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-3, -3], [-3, -3], [0, 0]]]], [[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 = x, 0 < z], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [-\
3, -3], [1, 1]]]], [[5, 10, 3, 7, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), 
And(-2 < x,x < -1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2],
[1172343/1048576, 146543/131072], [-3/2, -3/2], [2, 2], [-3, -3]]]], [[5, 10,
3, 7, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y,
z = -(y-x)^(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, 7, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y,
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [
1172343/1048576, 146543/131072], [-3/2, -3/2], [2, 2], [0, 0]]]], [[5, 10, 3,
7, 4], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y, z =
(y-x)^(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, 7, 5],
[And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y, (y-x)^(1/2
) < z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3/2
, -3/2], [2, 2], [3, 3]]]], [[6, 2, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 1, 7, 1], [v = 0,
u = -1, x < -2, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [
-3, -3], [1, 1], [-3, -3]]]], [[6, 4, 1, 7, 2], [v = 0, u = -1, x < -2, 0 < y,
z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-3, -3], [1, 1], [-2, -\
2]]]], [[6, 4, 1, 7, 3], [v = 0, u = -1, x < -2, 0 < y, And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[0, 0], [-1, -1], [-3, -3], [1, 1], [0, 0]]]
], [[6, 4, 1, 7, 4], [v = 0, u = -1, x < -2, 0 < y, z = (y-x)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-3, -3], [1, 1], [2, 2]]]], [[6, 4, 1, 7, 5
], [v = 0, u = -1, x < -2, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[0, 0], [
-1, -1], [-3, -3], [1, 1], [3, 3]]]], [[6, 9, 1, 3, 1], [v = 0, And(1 < u,u <
2^(1/2)), x < -u^2-1, And(x-u^2+1 < y,y < x), z = z], [regular_chain, [[0, 0],
[1265743/1048576, 1265743/1048576], [-4, -4], [-4433959/1048576, -4433959/
1048576], [0, 0]]]], [[6, 10, 3, 4, 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, 4, 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, 4, 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, 5, 1], [And(0 < v,
v < 1), u = -(v^2+1)^(1/2), x = 1, And(1 < y,y < 3), z < -(y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [1, 1], [2, 2]
, [-2, -2]]]], [[7, 4, 8, 5, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = 1,
And(1 < y,y < 3), z = -(y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/
131072, -1172343/1048576], [1, 1], [2, 2], [-1, -1]]]], [[7, 4, 8, 5, 3], [And
(0 < v,v < 1), u = -(v^2+1)^(1/2), x = 1, And(1 < y,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], [2, 2], [0, 0]]]], [[7, 4, 8, 5, 4], [And(0 < v,v < 1), u =
-(v^2+1)^(1/2), x = 1, And(1 < y,y < 3), z = (y-1)^(1/2)], [regular_chain, [[1
/2, 1/2], [-146543/131072, -1172343/1048576], [1, 1], [2, 2], [1, 1]]]], [[7,
4, 8, 5, 5], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = 1, And(1 < y,y < 3), (
y-1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/
1048576], [1, 1], [2, 2], [2, 2]]]], [[7, 6, 2, 1, 1], [And(0 < v,v < 1), u =
-v, x = -1, y < -1, z = z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1, -1
], [-2, -2], [0, 0]]]], [[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 < -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [3, 3], [35/8, 35/8], [16, 16], [-5, -5]]]], [[7,
13, 9, 9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [35/8
, 35/8], [16, 16], [-27931/8192, -3575167/1048576]]]], [[7, 13, 9, 9, 3], [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, 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3], [
35/8, 35/8], [16, 16], [0, 0]]]], [[7, 13, 9, 9, 4], [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 = (y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [3, 3], [35/8, 35/8], [16, 16], [3575167/1048576,
27931/8192]]]], [[7, 13, 9, 9, 5], [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, (y-x)^(1/2) < z], [regular_chain, [[1/2,
1/2], [3, 3], [35/8, 35/8], [16, 16], [5, 5]]]], [[8, 2, 1, 5, 1], [v = 1, u =
-3^(1/2), x < -3, And(x < y,y < x+3), z < -(y-x)^(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 < y,y < x+3), z = -(y-x)
^(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 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^
(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 < y,y < x+3), z = (y-x)^(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 < y,y < x+3
), (y-x)^(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, x-u^2+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-\
1/2, -1/2], [2, 2], [5, 5], [-3, -3]]]], [[8, 7, 11, 9, 2], [v = 1, And(-1 < u
,u < 0), 1 < x, x-u^2+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1/2
, -1/2], [2, 2], [5, 5], [-1816187/1048576, -3632373/2097152]]]], [[8, 7, 11,
9, 3], [v = 1, And(-1 < u,u < 0), 1 < x, x-u^2+2 < y, And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [5, 5], [-1/
4194304, -1/4194304]]]], [[8, 7, 11, 9, 4], [v = 1, And(-1 < u,u < 0), 1 < x,
x-u^2+2 < y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2],
[5, 5], [908093/524288, 1816187/1048576]]]], [[8, 7, 11, 9, 5], [v = 1, And(-1
< u,u < 0), 1 < x, x-u^2+2 < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-1
/2, -1/2], [2, 2], [5, 5], [3, 3]]]], [[8, 9, 7, 5, 1], [v = 1, And(0 < u,u <
1), And(-u^2 < x,x < 0), And(0 < y,y < u^2+x), z < -(y-x)^(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(0 < y,y <
u^2+x), z = -(y-x)^(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(0 < y,y < u^2+x), And(-(y-x)^(1/2)
< z,z < (y-x)^(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(0 < y,y < u^2+x), z = (y-x)^(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(0 < y,y < u^2+x
), (y-x)^(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 = 0, z < -
3^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-3, -3],
[0, 0], [-3, -3]]]], [[8, 14, 2, 6, 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, 6, 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, 6, 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, 6, 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, 7, 4, 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, 6, 1, 1, 1], [And(1 < v,v < 2^(1/2)), u = -v,
x < -1, y < x, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [-2, -2], [-3, -3], [0, 0]]]], [[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 = 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, 4, 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, 4, 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, 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 < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-1, -1], [763943/524288, 1527887/1048576],
[-3, -3]]]], [[9, 9, 4, 8, 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], [763943/
524288, 1527887/1048576], [-410915/262144, -3287319/2097152]]]], [[9, 9, 4, 8,
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], [763943/
524288, 1527887/1048576], [-1/4194304, -1/4194304]]]], [[9, 9, 4, 8, 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], [763943/524288, 1527887/1048576], [1643659/1048576
, 410915/262144]]]], [[9, 9, 4, 8, 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], [763943/
524288, 1527887/1048576], [3, 3]]]], [[9, 10, 9, 2, 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, 8, 6, 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, 6, 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,
6, 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, 6, 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, 6, 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, 2, 2, 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, 4, 9, 1]
, [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -1, u^2-2 < y, z < -(y+1)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [-1, -1], [2, 2], [-3, -3]]]], [[10, 5, 4, 9, 2], [v = 2^(1/
2), And(-3^(1/2) < u,u < -v), x = -1, u^2-2 < y, z = -(y+1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1, -1], [2, 2], [-1816187/1048576, -3632373/2097152]]]], [[10, 5,
4, 9, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -1, u^2-2 < y, 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], [-1/4194304,
-1/4194304]]]], [[10, 5, 4, 9, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x =
-1, u^2-2 < y, z = (y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [-1, -1], [2, 2], [908093/
524288, 1816187/1048576]]]], [[10, 5, 4, 9, 5], [v = 2^(1/2), And(-3^(1/2) < u
,u < -v), x = -1, u^2-2 < y, (y+1)^(1/2) < z], [regular_chain, [[741455/524288
, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1, -1], [2, 2], [3
, 3]]]], [[10, 7, 2, 1, 1], [v = 2^(1/2), And(-v < u,u < -1), x = u^2-3, y < u
^2-3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-3235683/2097152, -1617841/1048576], [-3, -3], [0
, 0]]]], [[10, 12, 8, 5, 1], [v = 2^(1/2), u = 1, x = 1, And(1 < y,y < 3), z <
-(y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1,
1], [2, 2], [-2, -2]]]], [[10, 12, 8, 5, 2], [v = 2^(1/2), u = 1, x = 1, And(1
< y,y < 3), z = -(y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1, 1], [1, 1], [2, 2], [-1, -1]]]], [[10, 12, 8, 5, 3], [v = 2^(1/2
), u = 1, x = 1, And(1 < y,y < 3), 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, 5, 4], [v = 2^(1/2), u = 1, x = 1, And(1 < y,y < 3), z = (
y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1, 1]
, [2, 2], [1, 1]]]], [[10, 12, 8, 5, 5], [v = 2^(1/2), u = 1, x = 1, And(1 < y
,y < 3), (y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[1, 1], [1, 1], [2, 2], [2, 2]]]], [[10, 14, 2, 5, 1], [v = 2^(1/2), u = v, x
= -1, 0 < y, z < -(y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [741455/524288, 1482911/1048576], [-1, -1], [1, 1], [-3, -3]]]], [[
10, 14, 2, 5, 2], [v = 2^(1/2), u = v, x = -1, 0 < y, z = -(y+1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-1, -1], [1, 1], [-1482911/1048576, -741455/524288]]]], [[10, 14, 2
, 5, 3], [v = 2^(1/2), u = v, x = -1, 0 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1
/2))], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 
1482911/1048576], [-1, -1], [1, 1], [0, 0]]]], [[10, 14, 2, 5, 4], [v = 2^(1/2
), u = v, x = -1, 0 < y, z = (y+1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [741455/524288, 1482911/1048576], [-1, -1], [1, 1], [741455/
524288, 1482911/1048576]]]], [[10, 14, 2, 5, 5], [v = 2^(1/2), u = v, x = -1,
0 < y, (y+1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
741455/524288, 1482911/1048576], [-1, -1], [1, 1], [3, 3]]]], [[11, 2, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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-u^2+v^2+1, z = z], [regular_chain, [[3, 3], [-3396811/1048576,
-3396811/1048576], [1566621/2097152, 1566621/2097152], [132633/524288, 265267/
1048576], [0, 0]]]], [[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 = -u^2+v^2+2, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [1, 1], [
3678763/1048576, 919691/262144], [-3, -3]]]], [[11, 9, 10, 8, 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], [3678763/1048576, 919691/262144], [-3321417/2097152, -415177
/262144]]]], [[11, 9, 10, 8, 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], [3678763/1048576, 919691/262144], [0, 0]]]], [[11, 9, 10, 8, 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], [3678763/1048576, 919691/262144], [415177/262144, 1660709/
1048576]]]], [[11, 9, 10, 8, 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], [3678763/1048576, 
919691/262144], [3, 3]]]], [[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 = -1, z < 0], [regular_chain, [[3, 3], [0,
0], [-1, -1], [-1, -1], [-1, -1]]]], [[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 = -1, z = 0], [regular_chain, [[
3, 3], [0, 0], [-1, -1], [-1, -1], [0, 0]]]], [[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 = -1, 0 < z], [
regular_chain, [[3, 3], [0, 0], [-1, -1], [-1, -1], [1, 1]]]], [[11, 15, 6, 7,
1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, -2*u^2+2*v^2 <
y, 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, 7, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, -2
*u^2+2*v^2 < y, 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, 7, 3], [2^(1/2) < v, And((
v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, -2*u^2+2*v^2 < y, 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, 7, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v),
x = -u^2+v^2-1, -2*u^2+2*v^2 < y, 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, 7, 5], [2^(1/2) < v,
And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, -2*u^2+2*v^2 < y, (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, 4, 1, 1], [2^(1/
2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -1, y < -1, z = z], [regular_chain,
[[3, 3], [403851/131072, 403851/131072], [-1, -1], [-2, -2], [0, 0]]]], [[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 < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [1/2, 1/2], [19, 19
], [-6, -6]]]], [[1, 1, 7, 9, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(0 < x
,x < 1), u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-5, -\
5], [1/2, 1/2], [19, 19], [-281881/65536, -4510095/1048576]]]], [[1, 1, 7, 9,
3], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(0 < x,x < 1), u^2-v^2+x+1 < y, And(
-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-5, -5], [1/2,
1/2], [19, 19], [0, 0]]]], [[1, 1, 7, 9, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2)
, And(0 < x,x < 1), u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -\
3], [-5, -5], [1/2, 1/2], [19, 19], [4510095/1048576, 281881/65536]]]], [[1, 1
, 7, 9, 5], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(0 < x,x < 1), u^2-v^2+x+1 <
y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5], [1/2, 1/2], [19, 19]
, [6, 6]]]], [[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 < x-u^2+v^2+1, z = z], [regular_chain, [[-3, -3]
, [-3396811/1048576, -3396811/1048576], [-4, -4], [-6, -6], [0, 0]]]], [[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, 0 < y, z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [-657547/262144, -5260375/2097152], [1, 1], [-3,
-3]]]], [[1, 9, 2, 7, 2], [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 = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3,
-3], [-22960369/8388608, -22960369/8388608], [-657547/262144, -5260375/2097152
], [1, 1], [-7856171/4194304, -3928085/2097152]]]], [[1, 9, 2, 7, 3], [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, And(-
(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3],
[-22960369/8388608, -22960369/8388608], [-657547/262144, -5260375/2097152], [1
, 1], [-1/4194304, -1/4194304]]]], [[1, 9, 2, 7, 4], [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 = (y-u^2+v^2+1)^(1/2
)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-\
657547/262144, -5260375/2097152], [1, 1], [982021/524288, 1964043/1048576]]]],
[[1, 9, 2, 7, 5], [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, (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [-657547/262144, -5260375/2097152], [1,
1], [3, 3]]]], [[1, 10, 4, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 
14, 7, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 16, 1, 2, 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, 2, 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, 2, 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, 1, 1], [v = -2^(1/2), u < -2, x < -u^2+1, y
< x-u^2+3, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -\
3], [-9, -9], [-16, -16], [0, 0]]]], [[2, 2, 3, 2, 1], [v = -2^(1/2), u = -2,
And(-3 < x,x < -1), y = x-1, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-2, -2], [-2, -2], [-3, -3], [0, 0]]]], [[2, 9, 10, 1, 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], [-1, -1], [0, 0]]]], [
[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-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, 4, 8, 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], [1554043/1048576, 388511/262144], [-3, -3]]]], [[2, 17, 4,
8, 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], [1554043/1048576, 388511/262144], [-825991/524288,
-3303963/2097152]]]], [[2, 17, 4, 8, 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], [1554043/1048576, 388511/262144], [-1/4194304, -1/4194304]
]]], [[2, 17, 4, 8, 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], [1554043/1048576, 388511/262144],
[1651981/1048576, 825991/524288]]]], [[2, 17, 4, 8, 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]
, [1554043/1048576, 388511/262144], [3, 3]]]], [[2, 18, 6, 7, 1], [v = -2^(1/2
), u = 2, x = 0, 3 < y, z < -y^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [2, 2], [0, 0], [4, 4], [-3, -3]]]], [[2, 18, 6, 7, 2], [v = -
2^(1/2), u = 2, x = 0, 3 < y, z = -y^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [2, 2], [0, 0], [4, 4], [-2, -2]]]], [[2, 18, 6, 7,
3], [v = -2^(1/2), u = 2, x = 0, 3 < y, 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, 7, 4], [v = -2^(1/2), u = 2, x = 0, 3 < y, z = y^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [0, 0], [4, 4], [
2, 2]]]], [[2, 18, 6, 7, 5], [v = -2^(1/2), u = 2, x = 0, 3 < y, y^(1/2) < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [0, 0], [4, 4], [
3, 3]]]], [[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 = 0, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [501965/
1048576, 250983/524288], [0, 0], [0, 0]]]], [[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(x <
y,y < x-u^2+v^2+1), z < -(y-x)^(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,
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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(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, 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(x < y,y < x
-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(x < y,y < x-u^2+v^2+1),
z = (y-x)^(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, 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(x < y,y < x-u^2+v^2+1), (y-x)^(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, 4, 9, 1], [And(-2^(1/2) < v,v < -1), And
((v^2-1)^(1/2) < u,u < -v), x = -1, -u^2+v^2 < y, z < -(y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [2, 2], [-3, -3]]]], [[3, 11, 4, 9, 2], [And(-2^(1/2) < v,
v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, -u^2+v^2 < y, z = -(y+1)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [-1, -1], [2, 2], [-1816187/1048576, -3632373/2097152]]]], [[
3, 11, 4, 9, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x =
-1, -u^2+v^2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1]
, [2, 2], [-1/4194304, -1/4194304]]]], [[3, 11, 4, 9, 4], [And(-2^(1/2) < v,v
< -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, -u^2+v^2 < y, z = (y+1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341
/1048576], [-1, -1], [2, 2], [908093/524288, 1816187/1048576]]]], [[3, 11, 4,
9, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, -u^2+
v^2 < y, (y+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-1, -1], [2, 2], [3, 3]]]], [[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], [-\
3213833/2097152, -401729/262144], [-3, -3]]]], [[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], [-3213833/2097152, -401729/
262144], [-1270261/1048576, -317565/262144]]]], [[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], [-3213833/2097152, -401729/262144], [0, 0]]]], [[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], [-3213833/2097152, -\
401729/262144], [317565/262144, 1270261/1048576]]]], [[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], [-3213833/2097152, -\
401729/262144], [3, 3]]]], [[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+2), z < -(y-x)^(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, 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+2), z =
-(y-x)^(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, 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+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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+2),
z = (y-x)^(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, 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+2), (y-x)^(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, 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+2), 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, 7, 2], [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 = -(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, 7, 3], [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), 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, 7, 4], [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 = (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, 7, 5], [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), (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, 3, 7,
1], [v = -1, u = -2^(1/2), And(-2 < x,x < -1), x+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3/2, -3/2], [2
, 2], [-3, -3]]]], [[4, 4, 3, 7, 2], [v = -1, u = -2^(1/2), And(-2 < x,x < -1)
, x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -\
741455/524288], [-3/2, -3/2], [2, 2], [-7846825/4194304, -980853/524288]]]], [
[4, 4, 3, 7, 3], [v = -1, u = -2^(1/2), And(-2 < x,x < -1), x+2 < y, And(-(y-x
)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-1482911/1048576, -\
741455/524288], [-3/2, -3/2], [2, 2], [0, 0]]]], [[4, 4, 3, 7, 4], [v = -1, u
= -2^(1/2), And(-2 < x,x < -1), x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[-\
1, -1], [-1482911/1048576, -741455/524288], [-3/2, -3/2], [2, 2], [980853/
524288, 1961707/1048576]]]], [[4, 4, 3, 7, 5], [v = -1, u = -2^(1/2), And(-2 <
x,x < -1), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1482911/
1048576, -741455/524288], [-3/2, -3/2], [2, 2], [3, 3]]]], [[4, 5, 9, 4, 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, 4, 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, 4, 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, 6, 1, 1], [v = -1, u = 1, x = 1, y < 0, z = z], [regular_chain,
[[-1, -1], [1, 1], [1, 1], [-1, -1], [0, 0]]]], [[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,
3 < y, z < -y^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [0, 0], [4,
4], [-3, -3]]]], [[5, 2, 6, 7, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x =
0, 3 < y, z = -y^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [0, 0],
[4, 4], [-2, -2]]]], [[5, 2, 6, 7, 3], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2),
x = 0, 3 < y, 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, 7, 4], [And(-1 < v,v < 0),
u = -(v^2+2)^(1/2), x = 0, 3 < y, z = y^(1/2)], [regular_chain, [[-1/2, -1/2],
[-3/2, -3/2], [0, 0], [4, 4], [2, 2]]]], [[5, 2, 6, 7, 5], [And(-1 < v,v < 0),
u = -(v^2+2)^(1/2), x = 0, 3 < y, y^(1/2) < z], [regular_chain, [[-1/2, -1/2],
[-3/2, -3/2], [0, 0], [4, 4], [3, 3]]]], [[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 < 0, z = z], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [2, 2], [-1, -\
1], [0, 0]]]], [[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(0 < y,y < -u^2+v^2+2), z = z], [regular_chain, [[
-1/2, -1/2], [343151/262144, 343151/262144], [1, 1], [562533/2097152, 562533/
2097152], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[-1/2, -1/2], [3,
3], [-43/8, -43/8], [-43/8, -43/8], [-1, -1]]]], [[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 = x, z = 0], [
regular_chain, [[-1/2, -1/2], [3, 3], [-43/8, -43/8], [-43/8, -43/8], [0, 0]]]
], [[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 = x, 0 < z], [regular_chain, [[-1/2, -1/2], [3, 3], [-43/8, -43/8
], [-43/8, -43/8], [1, 1]]]], [[6, 5, 8, 7, 1], [v = 0, And(-1 < u,u < 0), x =
0, u^2+1 < y, z < -y^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [0, 0], [3
, 3], [-3, -3]]]], [[6, 5, 8, 7, 2], [v = 0, And(-1 < u,u < 0), x = 0, u^2+1 <
y, z = -y^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [0, 0], [3, 3], [-\
1816187/1048576, -3632373/2097152]]]], [[6, 5, 8, 7, 3], [v = 0, And(-1 < u,u
< 0), x = 0, u^2+1 < y, 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, 7, 4]
, [v = 0, And(-1 < u,u < 0), x = 0, u^2+1 < y, z = y^(1/2)], [regular_chain, [
[0, 0], [-1/2, -1/2], [0, 0], [3, 3], [908093/524288, 1816187/1048576]]]], [[6
, 5, 8, 7, 5], [v = 0, And(-1 < u,u < 0), x = 0, u^2+1 < y, y^(1/2) < z], [
regular_chain, [[0, 0], [-1/2, -1/2], [0, 0], [3, 3], [3, 3]]]], [[6, 7, 5, 4,
1], [v = 0, And(0 < u,u < 1), And(-1 < x,x < u^2-1), y = x-u^2+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, 4, 2], [v = 0, And(0 < u,u < 1), And(-1 < x,x < u^2-1), y
= x-u^2+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, 4, 3],
[v = 0, And(0 < u,u < 1), And(-1 < x,x < u^2-1), y = x-u^2+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, 4, 4], [v = 0, And(0
< u,u < 1), And(-1 < x,x < u^2-1), y = x-u^2+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, 4, 5], [v = 0, And(0 < u,u < 1), And(-1
< x,x < u^2-1), y = x-u^2+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, 4, 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, 1, 10, 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 = z], [regular_chain, [[1/2, 1/2], [-3, -\
3], [31/4, 31/4], [31/8, 31/8], [0, 0]]]], [[7, 7, 10, 6, 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, 6, 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, 6, 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, 6, 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, 6,
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, 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(x < y,y < 0), z < -(y-x)^(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, 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(x < y,y < 0)
, z = -(y-x)^(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, 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(x < y,y < 0)
, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(x < y,y < 0),
z = (y-x)^(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, 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(x < y,y < 0),
(y-x)^(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, 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 < x-u^2+v^2+1, z = z], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1815885/1048576,
-1815885/1048576], [-4, -4], [0, 0]]]], [[7, 12, 5, 4, 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, 4, 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, 4, 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, 3, 1], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, 
And(x < y,y < x-u^2+2), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-3, -3], [-5722191/2097152, -5722191/2097152], [-\
2, -2]]]], [[8, 5, 1, 3, 2], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, And(x
< y,y < x-u^2+2), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-3, -3], [-5722191/2097152, -5722191/2097152], [-\
273157/524288, -1092627/2097152]]]], [[8, 5, 1, 3, 3], [v = 1, And(-2^(1/2) <
u,u < -1), x < -u^2, And(x < y,y < x-u^2+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1
/2))], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3, -3]
, [-5722191/2097152, -5722191/2097152], [-1/4194304, -1/4194304]]]], [[8, 5, 1
, 3, 4], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, And(x < y,y < x-u^2+2), z
= (y-x)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576],
[-3, -3], [-5722191/2097152, -5722191/2097152], [546313/1048576, 273157/524288
]]]], [[8, 5, 1, 3, 5], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, And(x < y,
y < x-u^2+2), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [-3, -3], [-5722191/2097152, -5722191/2097152], [2, 2]]]], [
[8, 6, 4, 5, 1], [v = 1, u = -1, x = 0, 1 < y, z < -y^(1/2)], [regular_chain,
[[1, 1], [-1, -1], [0, 0], [2, 2], [-3, -3]]]], [[8, 6, 4, 5, 2], [v = 1, u =
-1, x = 0, 1 < y, z = -y^(1/2)], [regular_chain, [[1, 1], [-1, -1], [0, 0], [2
, 2], [-1482911/1048576, -741455/524288]]]], [[8, 6, 4, 5, 3], [v = 1, u = -1,
x = 0, 1 < y, And(-y^(1/2) < z,z < y^(1/2))], [regular_chain, [[1, 1], [-1, -1
], [0, 0], [2, 2], [0, 0]]]], [[8, 6, 4, 5, 4], [v = 1, u = -1, x = 0, 1 < y,
z = y^(1/2)], [regular_chain, [[1, 1], [-1, -1], [0, 0], [2, 2], [741455/
524288, 1482911/1048576]]]], [[8, 6, 4, 5, 5], [v = 1, u = -1, x = 0, 1 < y, y
^(1/2) < z], [regular_chain, [[1, 1], [-1, -1], [0, 0], [2, 2], [3, 3]]]], [[8
, 11, 4, 7, 1], [v = 1, And(1 < u,u < 2^(1/2)), x = -1, And(0 < y,y < u^2-1),
z < -(y+1)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576]
, [-1, -1], [239655/1048576, 239655/1048576], [-3, -3]]]], [[8, 11, 4, 7, 2],
[v = 1, And(1 < u,u < 2^(1/2)), x = -1, And(0 < y,y < u^2-1), z = -(y+1)^(1/2)
], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1, -1], [
239655/1048576, 239655/1048576], [-1162243/1048576, -581121/524288]]]], [[8, 
11, 4, 7, 3], [v = 1, And(1 < u,u < 2^(1/2)), x = -1, And(0 < y,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], [239655/1048576, 239655/1048576], [0, 0]]
]], [[8, 11, 4, 7, 4], [v = 1, And(1 < u,u < 2^(1/2)), x = -1, And(0 < y,y < u
^2-1), z = (y+1)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-1, -1], [239655/1048576, 239655/1048576], [581121/524288, 1162243/
1048576]]]], [[8, 11, 4, 7, 5], [v = 1, And(1 < u,u < 2^(1/2)), x = -1, And(0
< y,y < u^2-1), (y+1)^(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-1, -1], [239655/1048576, 239655/1048576], [3, 3]]]], [[8,
12, 9, 1, 1], [v = 1, u = 2^(1/2), 1 < x, y < 0, z = z], [regular_chain, [[1,
1], [741455/524288, 1482911/1048576], [2, 2], [-1, -1], [0, 0]]]], [[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 = x-u^2+v^2+1, z = z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-3647693/
2097152, -3647693/2097152], [-2325813/1048576, -581453/262144], [0, 0]]]], [[9
, 4, 7, 1, 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], [-1, -1], [0, 0]]]], [[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 < 0, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [2, 2], [-1, -1], [0, 0]]]], [[10, 2, 4, 7, 1], [v = 2^(1/2), u = -2
, x = -1, And(0 < y,y < 2), z < -(y+1)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [-2, -2], [-1, -1], [1, 1], [-3, -3]]]], [[10, 2, 4, 7, 2]
, [v = 2^(1/2), u = -2, x = -1, And(0 < y,y < 2), z = -(y+1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1, -1], [1, 1],
[-1482911/1048576, -741455/524288]]]], [[10, 2, 4, 7, 3], [v = 2^(1/2), u = -2
, x = -1, And(0 < y,y < 2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1, -1], [1, 1],
[0, 0]]]], [[10, 2, 4, 7, 4], [v = 2^(1/2), u = -2, x = -1, And(0 < y,y < 2),
z = (y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2],
[-1, -1], [1, 1], [741455/524288, 1482911/1048576]]]], [[10, 2, 4, 7, 5], [v =
2^(1/2), u = -2, x = -1, And(0 < y,y < 2), (y+1)^(1/2) < z], [regular_chain, [
[741455/524288, 1482911/1048576], [-2, -2], [-1, -1], [1, 1], [3, 3]]]], [[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-u^2+3 < y,y < x), 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+2), z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1/2, -1/2], [3/4
, 3/4], [-3, -3]]]], [[10, 8, 5, 5, 2], [v = 2^(1/2), u = -1, And(-1 < x,x < 0
), And(0 < y,y < x+2), z = -(y-x)^(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, 5, 3], [v = 2^(1/2), u = -1, And(-1 < x,x < 0
), And(0 < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[741455/524288, 1482911/1048576], [-1, -1], [-1/2, -1/2], [3/4, 3/4], [0, 0]]
]], [[10, 8, 5, 5, 4], [v = 2^(1/2), u = -1, And(-1 < x,x < 0), And(0 < y,y <
x+2), z = (y-x)^(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, 5, 5], [v = 2^(1/2), u = -1, And(-1 < x,x < 0), And(0 < y,y < x+2), (y-x)^(
1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1/2,
-1/2], [3/4, 3/4], [3, 3]]]], [[10, 9, 11, 2, 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, 10, 6, 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],
[799673/524288, 1599347/1048576], [-2, -2]]]], [[10, 15, 10, 6, 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], [799673/524288, 1599347/1048576], [-1519901/2097152, -379975
/524288]]]], [[10, 15, 10, 6, 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], [
799673/524288, 1599347/1048576], [0, 0]]]], [[10, 15, 10, 6, 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
], [799673/524288, 1599347/1048576], [379975/524288, 759951/1048576]]]], [[10,
15, 10, 6, 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], [799673/524288, 1599347/1048576], [2, 2]]]]
, [[10, 17, 5, 9, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0),
u^2+x-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [3, 3], [-3, -3]]]
], [[10, 17, 5, 9, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0)
, u^2+x-1 < y, z = -(y-x)^(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, 9, 3], [v = 2^(1/2), And(3^(1/2) < u
,u < 2), And(-1 < x,x < 0), u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [-1/2, -1/2], [3, 3], [0, 0]]]], [[10, 17, 5, 9, 4], [v = 2^
(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), u^2+x-1 < y, z = (y-x)^(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, 9, 5], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), u^
2+x-1 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576]
, [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [3, 3], [3, 3]]]], [[10, 
18, 8, 5, 1], [v = 2^(1/2), u = 2, x = 1, And(1 < y,y < 4), z < -(y-1)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [1, 1], [5/2, 5/2],
[-3, -3]]]], [[10, 18, 8, 5, 2], [v = 2^(1/2), u = 2, x = 1, And(1 < y,y < 4),
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, 5, 3],
[v = 2^(1/2), u = 2, x = 1, And(1 < y,y < 4), 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, 5, 4], [v = 2^(1/2), u = 2, x = 1, And(1 < y,
y < 4), 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, 5
, 5], [v = 2^(1/2), u = 2, x = 1, And(1 < y,y < 4), (y-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [1, 1], [5/2, 5/2],
[3, 3]]]], [[11, 1, 2, 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 = z], [regular_chain, [[3, 3], [-5, -5], [-17, -17], [-\
33, -33], [0, 0]]]], [[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(x-u^2+v^2+1 < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3, -3], [-\
1565147/2097152, -1565147/2097152], [-3, -3]]]], [[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(x-u^2+v^2+1 < y,y < 0),
z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-3, -3], [-1565147/2097152, -1565147/2097152], [-787075/524288, -\
3148299/2097152]]]], [[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(x-u^2+v^2+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y
-x)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-\
3, -3], [-1565147/2097152, -1565147/2097152], [-1/4194304, -1/4194304]]]], [[
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(x-u^2+v^2+1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-3, -3], [-1565147/2097152, -1565147/
2097152], [1574149/1048576, 787075/524288]]]], [[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(x-u^2+v^2+1 < y,y < 0), (
y-x)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152]
, [-3, -3], [-1565147/2097152, -1565147/2097152], [3, 3]]]], [[11, 8, 5, 2, 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, 2, 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, 2, 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, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 11, 4, 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], [1564115/1048576, 391029/262144], [0, 0]]]],
[[11, 20, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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 < -2^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-1, -1], [1, 1],
[-3, -3]]]], [[1, 4, 4, 6, 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, 6, 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, 6, 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, 6, 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, 10, 1, 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], [-1,
-1], [0, 0]]]], [[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), x-u^2+v^2+1 < y, z < -(y-x)^(1/2)],
[regular_chain, [[-3, -3], [0, 0], [9/2, 9/2], [16, 16], [-5, -5]]]], [[1, 11,
9, 9, 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), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3]
, [0, 0], [9/2, 9/2], [16, 16], [-3555895/1048576, -1777947/524288]]]], [[1, 
11, 9, 9, 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), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[-3, -3], [0, 0], [9/2, 9/2], [16, 16], [0, 0]]]], [[1, 11, 9
, 9, 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), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [
0, 0], [9/2, 9/2], [16, 16], [1777947/524288, 3555895/1048576]]]], [[1, 11, 9,
9, 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), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [0,
0], [9/2, 9/2], [16, 16], [5, 5]]]], [[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 < x), z = z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288
], [-919691/524288, -919691/524288], [-526475/262144, -526475/262144], [0, 0]]
]], [[1, 17, 9, 8, 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], [2090247/1048576, 261281/131072],
[-3, -3]]]], [[1, 17, 9, 8, 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], [2090247/1048576, 261281/
131072], [-1281417/1048576, -160177/131072]]]], [[1, 17, 9, 8, 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], [2090247/1048576, 261281/131072], [0, 0]]
]], [[1, 17, 9, 8, 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], [2090247/1048576, 261281/131072], [
160177/131072, 1281417/1048576]]]], [[1, 17, 9, 8, 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], [
2090247/1048576, 261281/131072], [3, 3]]]], [[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(0 < y,y < u^2-v^2), z <
-(y+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576],
[-1, -1], [391655/524288, 391655/524288], [-3, -3]]]], [[1, 19, 4, 7, 2], [v <
-2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(0 < y,y < u^2-
v^2), z = -(y+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [-1, -1], [391655/524288, 391655/524288], [-346489/262144, -1385955/
1048576]]]], [[1, 19, 4, 7, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+
2)^(1/2)), x = -1, And(0 < y,y < u^2-v^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2
))], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1, -1],
[391655/524288, 391655/524288], [0, 0]]]], [[1, 19, 4, 7, 4], [v < -2^(1/2), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(0 < y,y < u^2-v^2), z =
(y+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [
-1, -1], [391655/524288, 391655/524288], [1385955/1048576, 346489/262144]]]],
[[1, 19, 4, 7, 5], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x
= -1, And(0 < y,y < u^2-v^2), (y+1)^(1/2) < z], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [-1, -1], [391655/524288, 391655/524288], [
3, 3]]]], [[2, 3, 8, 3, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = u^2-3
, And(0 < y,y < u^2-3), z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [505467/1048576, 126367/262144]
, [505467/2097152, 505467/2097152], [0, 0]]]], [[2, 5, 3, 4, 1], [v = -2^(1/2)
, And(-3^(1/2) < u,u < v), And(-u^2+1 < x,x < -1), y = x-u^2+3, z < -(-u^2+3)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304
, -6598195/4194304], [-1297479/1048576, -1297479/1048576], [-1493419/2097152,
-746709/1048576], [-2, -2]]]], [[2, 5, 3, 4, 2], [v = -2^(1/2), And(-3^(1/2) <
u,u < v), And(-u^2+1 < x,x < -1), y = x-u^2+3, z = -(-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1297479/1048576, -1297479/1048576], [-1493419/2097152, -\
746709/1048576], [-379975/524288, -1519899/2097152]]]], [[2, 5, 3, 4, 3], [v =
-2^(1/2), And(-3^(1/2) < u,u < v), And(-u^2+1 < x,x < -1), y = x-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], [-1297479/1048576, -\
1297479/1048576], [-1493419/2097152, -746709/1048576], [-1/4194304, -1/4194304
]]]], [[2, 5, 3, 4, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-u^2+1 < x
,x < -1), y = x-u^2+3, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [-6598195/4194304, -6598195/4194304], [-1297479/1048576, -\
1297479/1048576], [-1493419/2097152, -746709/1048576], [759949/1048576, 379975
/524288]]]], [[2, 5, 3, 4, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-u^
2+1 < x,x < -1), y = x-u^2+3, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-1297479/
1048576, -1297479/1048576], [-1493419/2097152, -746709/1048576], [2, 2]]]], [[
2, 6, 7, 6, 1], [v = -2^(1/2), u = v, 1 < x, y = x+1, z < -1], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [2, 2
], [3, 3], [-2, -2]]]], [[2, 6, 7, 6, 2], [v = -2^(1/2), u = v, 1 < x, y = x+1
, z = -1], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/
1048576, -741455/524288], [2, 2], [3, 3], [-1, -1]]]], [[2, 6, 7, 6, 3], [v =
-2^(1/2), u = v, 1 < x, y = x+1, And(-1 < z,z < 1)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [2, 2],
[3, 3], [0, 0]]]], [[2, 6, 7, 6, 4], [v = -2^(1/2), u = v, 1 < x, y = x+1, z =
1], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -\
741455/524288], [2, 2], [3, 3], [1, 1]]]], [[2, 6, 7, 6, 5], [v = -2^(1/2), u
= v, 1 < x, y = x+1, 1 < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1482911/1048576, -741455/524288], [2, 2], [3, 3], [2, 2]]]], [[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(x < y,y < x+1), z < -(y-x)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [-2,
-2], [-3/2, -3/2], [-2, -2]]]], [[2, 14, 1, 3, 2], [v = -2^(1/2), u = -v, x <
-1, And(x < y,y < x+1), z = -(y-x)^(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, 3, 3], [v = -2^(1/2), u = -v
, x < -1, And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [-2, -2], [-3/2, -3/2], [0, 0]]]], [[2, 14, 1, 3, 4], [v = -2^(1/2),
u = -v, x < -1, And(x < y,y < x+1), z = (y-x)^(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, 3, 5], [v = -2^(1/
2), u = -v, x < -1, And(x < y,y < x+1), (y-x)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [-2, -2],
[-3/2, -3/2], [2, 2]]]], [[2, 15, 9, 2, 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]
]]], [[2, 19, 11, 9, 1], [v = -2^(1/2), 2 < u, u^2-3 < x, u^2+x-1 < y, z < -(y
-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7, 7
], [16, 16], [-4, -4]]]], [[2, 19, 11, 9, 2], [v = -2^(1/2), 2 < u, u^2-3 < x,
u^2+x-1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [7, 7], [16, 16], [-3, -3]]]], [[2, 19, 11, 9, 3], [v = -2^(1
/2), 2 < u, u^2-3 < x, u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7, 7], [16, 16],
[0, 0]]]], [[2, 19, 11, 9, 4], [v = -2^(1/2), 2 < u, u^2-3 < x, u^2+x-1 < y, z
= (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [
7, 7], [16, 16], [3, 3]]]], [[2, 19, 11, 9, 5], [v = -2^(1/2), 2 < u, u^2-3 <
x, u^2+x-1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [7, 7], [16, 16], [4, 4]]]], [[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-1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-2, -2], [-4, -4], [0, 0]]]], [[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+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, 6, 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, 6, 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, 6, 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, 6, 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, 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(0 < y,y < u^2-v^2+x+1), z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152]
, [35579/262144, 35579/262144], [0, 0]]]], [[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 < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1, -1], [
7909297/1048576, 3954649/524288], [-4, -4]]]], [[3, 17, 4, 8, 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], [
7909297/1048576, 3954649/524288], [-1532401/524288, -24518415/8388608]]]], [[3
, 17, 4, 8, 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], [7909297/1048576, 
3954649/524288], [-7/16777216, -7/16777216]]]], [[3, 17, 4, 8, 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], [
7909297/1048576, 3954649/524288], [3064801/1048576, 1532401/524288]]]], [[3, 
17, 4, 8, 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], [7909297/1048576, 3954649/524288], [4, 4]]]], [[4,
1, 6, 7, 1], [v = -1, u < -3^(1/2), x = 0, u^2 < y, z < -y^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [0, 0], [10, 10], [-5, -5]]]], [[4, 1, 6,
7, 2], [v = -1, u < -3^(1/2), x = 0, u^2 < y, z = -y^(1/2)], [regular_chain, [
[-1, -1], [-3, -3], [0, 0], [10, 10], [-3315889/1048576, -207243/65536]]]], [[
4, 1, 6, 7, 3], [v = -1, u < -3^(1/2), x = 0, u^2 < y, And(-y^(1/2) < z,z < y^
(1/2))], [regular_chain, [[-1, -1], [-3, -3], [0, 0], [10, 10], [0, 0]]]], [[4
, 1, 6, 7, 4], [v = -1, u < -3^(1/2), x = 0, u^2 < y, z = y^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [0, 0], [10, 10], [207243/65536, 3315889/
1048576]]]], [[4, 1, 6, 7, 5], [v = -1, u < -3^(1/2), x = 0, u^2 < y, y^(1/2)
< z], [regular_chain, [[-1, -1], [-3, -3], [0, 0], [10, 10], [5, 5]]]], [[4, 7
, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v =
-1, And(0 < u,u < 1), x < u^2-2, And(x-u^2+2 < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [-5/8, -5/8], [-3, -3]]]], [[4
, 9, 1, 7, 2], [v = -1, And(0 < u,u < 1), x < u^2-2, And(x-u^2+2 < y,y < 0), z
= -(y-x)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [-5/8, -5/8]
, [-3231929/2097152, -403991/262144]]]], [[4, 9, 1, 7, 3], [v = -1, And(0 < u,
u < 1), x < u^2-2, And(x-u^2+2 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [-5/8, -5/8], [0, 0]]]],
[[4, 9, 1, 7, 4], [v = -1, And(0 < u,u < 1), x < u^2-2, And(x-u^2+2 < y,y < 0)
, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [-5/8, -5
/8], [403991/262144, 1615965/1048576]]]], [[4, 9, 1, 7, 5], [v = -1, And(0 < u
,u < 1), x < u^2-2, And(x-u^2+2 < y,y < 0), (y-x)^(1/2) < z], [regular_chain,
[[-1, -1], [1/2, 1/2], [-3, -3], [-5/8, -5/8], [3, 3]]]], [[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 < 2*u^2-2), z
< -(y-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [497805/1048576, 248903/524288], [3590569/2097152, 3590569/2097152],
[-3, -3]]]], [[4, 13, 8, 5, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2
-2, And(u^2-2 < y,y < 2*u^2-2), z = -(y-u^2+2)^(1/2)], [regular_chain, [[-1, -\
1], [3299097/2097152, 3299097/2097152], [497805/1048576, 248903/524288], [
3590569/2097152, 3590569/2097152], [-1166407/1048576, -583203/524288]]]], [[4,
13, 8, 5, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, And(u^2-2 < y,
y < 2*u^2-2), And(-(y-u^2+2)^(1/2) < z,z < (y-u^2+2)^(1/2))], [regular_chain,
[[-1, -1], [3299097/2097152, 3299097/2097152], [497805/1048576, 248903/524288]
, [3590569/2097152, 3590569/2097152], [0, 0]]]], [[4, 13, 8, 5, 4], [v = -1, 
And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), z = (y-u^
2+2)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [
497805/1048576, 248903/524288], [3590569/2097152, 3590569/2097152], [583203/
524288, 1166407/1048576]]]], [[4, 13, 8, 5, 5], [v = -1, And(2^(1/2) < u,u < 3
^(1/2)), x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), (y-u^2+2)^(1/2) < z], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [497805/1048576,
248903/524288], [3590569/2097152, 3590569/2097152], [3, 3]]]], [[4, 15, 1, 6,
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, 6, 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, 6, 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, 6, 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, 6, 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,
7, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, 2*u^2
-2*v^2 < y, z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [-624419/1048576, -1248837/2097152], [2, 2
], [-3, -3]]]], [[5, 5, 6, 7, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u
< v), x = u^2-v^2-1, 2*u^2-2*v^2 < y, z = -(y-u^2+v^2+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, 7, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1,
2*u^2-2*v^2 < y, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+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, 7,
4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, 2*u^2-2*
v^2 < y, z = (y-u^2+v^2+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, 7, 5], [And(-1 < v,v < 0), And(-(
v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, 2*u^2-2*v^2 < y, (y-u^2+v^2+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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)
^(1/2)), x < -u^2+v^2-1, And(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [-\
2833519/1048576, -2833519/1048576], [-2, -2]]]], [[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(x < y,y < x-u^2+v^
2+1), z = -(y-x)^(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, 3, 3], [And(-1 < v,v < 0), And(-v <
u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(x < y,y < x-u^2+v^2+1), And(-(y-x)^(
1/2) < z,z < (y-x)^(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, 3, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(
1/2)), x < -u^2+v^2-1, And(x < y,y < x-u^2+v^2+1), z = (y-x)^(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, 3, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1,
And(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [-3, -3], [-2833519/1048576, -2833519/
1048576], [2, 2]]]], [[5, 10, 4, 1, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2),
x = -1, y < -1, z = z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 
146543/131072], [-1, -1], [-2, -2], [0, 0]]]], [[6, 2, 8, 5, 1], [v = 0, u = -
2^(1/2), x = 1, And(1 < y,y < 4), z < -(y-1)^(1/2)], [regular_chain, [[0, 0],
[-1482911/1048576, -741455/524288], [1, 1], [5/2, 5/2], [-3, -3]]]], [[6, 2, 8
, 5, 2], [v = 0, u = -2^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 3], [v = 0, u = -2^(1/2
), x = 1, And(1 < y,y < 4), 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, 5, 4], [v = 0, u = -2^(1/2), x = 1, And(1 < y,y < 4),
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, 5, 5], [v
= 0, u = -2^(1/2), x = 1, And(1 < y,y < 4), (y-1)^(1/2) < z], [regular_chain,
[[0, 0], [-1482911/1048576, -741455/524288], [1, 1], [5/2, 5/2], [3, 3]]]], [[
6, 4, 1, 6, 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, 6,
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
, 6, 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, 6, 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, 6, 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, 9, 1, 4,
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, 4, 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, 4, 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, 3, 5, 1], [v = 0, u = 2^(1/2), And(-3 < x,x
< -1), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x
< y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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
(x < y,y < 0), (y-x)^(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
, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2
], [1, 1], [-3, -3]]]], [[7, 6, 1, 7, 2], [And(0 < v,v < 1), u = -v, x < -1, 0
< y, z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [
1, 1], [-1816187/1048576, -3632373/2097152]]]], [[7, 6, 1, 7, 3], [And(0 < v,v
< 1), u = -v, x < -1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [1, 1], [-1/4194304, -1/
4194304]]]], [[7, 6, 1, 7, 4], [And(0 < v,v < 1), u = -v, x < -1, 0 < y, z = (
y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [1, 1], [
908093/524288, 1816187/1048576]]]], [[7, 6, 1, 7, 5], [And(0 < v,v < 1), u = -
v, x < -1, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2],
[-2, -2], [1, 1], [3, 3]]]], [[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 < -(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, 8, 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, 8, 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, 8, 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, 8, 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, 2, 1, 4, 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, 4, 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, 4, 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, 8, 1, 1, 1], [v = 1, u =
0, x < -2, y < x, z = z], [regular_chain, [[1, 1], [0, 0], [-3, -3], [-4, -4],
[0, 0]]]], [[8, 9, 7, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = 1, u = 3
^(1/2), x = -3, And(-3 < y,y < 0), z < -(y+3)^(1/2)], [regular_chain, [[1, 1],
[908093/524288, 1816187/1048576], [-3, -3], [-3/2, -3/2], [-3, -3]]]], [[8, 14
, 2, 5, 2], [v = 1, u = 3^(1/2), x = -3, And(-3 < y,y < 0), z = -(y+3)^(1/2)],
[regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-3, -3], [-3/2, -3
/2], [-1284239/1048576, -642119/524288]]]], [[8, 14, 2, 5, 3], [v = 1, u = 3^(
1/2), x = -3, And(-3 < y,y < 0), And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-3, -3], [-3/2, -3/
2], [0, 0]]]], [[8, 14, 2, 5, 4], [v = 1, u = 3^(1/2), x = -3, And(-3 < y,y <
0), z = (y+3)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576
], [-3, -3], [-3/2, -3/2], [642119/524288, 1284239/1048576]]]], [[8, 14, 2, 5,
5], [v = 1, u = 3^(1/2), x = -3, And(-3 < y,y < 0), (y+3)^(1/2) < z], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-3, -3], [-3/2, -3/
2], [3, 3]]]], [[8, 15, 7, 3, 1], [v = 1, 3^(1/2) < u, And(0 < x,x < 1), And(x
-u^2+2 < y,y < 0), z = z], [regular_chain, [[1, 1], [3, 3], [1/2, 1/2], [-13/4
, -13/4], [0, 0]]]], [[9, 6, 1, 2, 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
, 2, 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, 2, 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, 5, 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 < u^2-v^2+x+1), z < -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1/2, 1/2], [749473/1048576, 749473/1048576], [-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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/2
, 1/2], [749473/1048576, 749473/1048576], [-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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304
, -3949363/4194304], [1/2, 1/2], [749473/1048576, 749473/1048576], [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(x < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/2
, 1/2], [749473/1048576, 749473/1048576], [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(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/2
, 1/2], [749473/1048576, 749473/1048576], [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(0 < y
,y < -u^2+v^2), z < -(y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [-1, -1], [763943/1048576, 763943/1048576], [-3, -3]]]], [[9
, 9, 4, 7, 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 < -u^2+v^2), z = -(y+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [763943/1048576, 763943/
1048576], [-689305/524288, -1378609/1048576]]]], [[9, 9, 4, 7, 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 <
-u^2+v^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-1, -1], [763943/1048576, 763943/1048576],
[0, 0]]]], [[9, 9, 4, 7, 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 < -u^2+v^2), z = (y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [763943/
1048576, 763943/1048576], [1378609/1048576, 689305/524288]]]], [[9, 9, 4, 7, 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 < -u^2+v^2), (y+1)^(1/2) < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [0, 0], [-1, -1], [763943/1048576, 763943/1048576], [3, 3]]]
], [[9, 10, 9, 1, 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], [-1, -1], [0, 0]]]], [[9, 16, 8, 7, 1], [And(1 < v,v
< 2^(1/2)), u = (v^2+2)^(1/2), x = 1, 4 < y, z < -(y-1)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [1, 1]
, [5, 5], [-3, -3]]]], [[9, 16, 8, 7, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)
^(1/2), x = 1, 4 < y, z = -(y-1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [121853/65536, 1949649/1048576], [1, 1], [5, 5], [-2, -2]]]]
, [[9, 16, 8, 7, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 1, 4 < y,
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, 7, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 1, 4 < y, z
= (y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/
65536, 1949649/1048576], [1, 1], [5, 5], [2, 2]]]], [[9, 16, 8, 7, 5], [And(1
< v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 1, 4 < y, (y-1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [1, 1], [5, 5], [3, 3]]]], [[10, 1, 2, 3, 1], [v = 2^(1/2), u < -2,
x = -u^2+1, And(-2*u^2+4 < y,y < -u^2+1), z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [-8, -8], [-11, -11], [0, 0]]]], [[10, 5,
4, 8, 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], [248903/524288, 497807/1048576], [-3, -3
]]]], [[10, 5, 4, 8, 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], [248903/524288, 497807/1048576
], [-636691/524288, -1273381/1048576]]]], [[10, 5, 4, 8, 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], [248903/524288, 497807/1048576], [0, 0]]]], [[10,
5, 4, 8, 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], [248903/524288, 497807/1048576], [
1273381/1048576, 636691/524288]]]], [[10, 5, 4, 8, 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
], [248903/524288, 497807/1048576], [3, 3]]]], [[10, 7, 1, 9, 1], [v = 2^(1/2)
, And(-v < u,u < -1), x < u^2-3, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-3, -3
], [1, 1], [-3, -3]]]], [[10, 7, 1, 9, 2], [v = 2^(1/2), And(-v < u,u < -1), x
< u^2-3, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [-2, -2]]]],
[[10, 7, 1, 9, 3], [v = 2^(1/2), And(-v < u,u < -1), x < u^2-3, 0 < y, And(-(y
-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [0, 0]]]], [
[10, 7, 1, 9, 4], [v = 2^(1/2), And(-v < u,u < -1), x < u^2-3, 0 < y, z = (y-x
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576
, -1265743/1048576], [-3, -3], [1, 1], [2, 2]]]], [[10, 7, 1, 9, 5], [v = 2^(1
/2), And(-v < u,u < -1), x < u^2-3, 0 < y, (y-x)^(1/2) < z], [regular_chain, [
[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-3, -\
3], [1, 1], [3, 3]]]], [[10, 12, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 1, 1], [v = 2^(1/2), u = v, And(-1 < x,x < 0),
y < x, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [741455/
524288, 1482911/1048576], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[11, 2, 4, 7, 1]
, [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 2), z < -(y+1)^(1/2)
], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-1, -1], [1,
1], [-3, -3]]]], [[11, 2, 4, 7, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -1,
And(0 < y,y < 2), z = -(y+1)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288
, -3477733/1048576], [-1, -1], [1, 1], [-1482911/1048576, -741455/524288]]]],
[[11, 2, 4, 7, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 2),
And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [-1, -1], [1, 1], [0, 0]]]], [[11, 2, 4, 7, 4], [2^
(1/2) < v, u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 2), z = (y+1)^(1/2)], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-1, -1], [1, 1],
[741455/524288, 1482911/1048576]]]], [[11, 2, 4, 7, 5], [2^(1/2) < v, u = -(v^
2+2)^(1/2), x = -1, And(0 < y,y < 2), (y+1)^(1/2) < z], [regular_chain, [[3, 3
], [-1738867/524288, -3477733/1048576], [-1, -1], [1, 1], [3, 3]]]], [[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-u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[3, 3], [
-3396811/1048576, -3396811/1048576], [1566621/2097152, 1566621/2097152], [
1048577/2097152, 1048577/2097152], [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(1 < y,y < -u^2+v^2+2)
, z < -(y-1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [1, 1], [4727339/2097152, 4727339/2097152], [-3, -3]]]], [[11, 9, 10
, 7, 2], [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 = -(y-1)^(1/2)], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [1, 1], [4727339/2097152, 4727339/2097152], [-\
587149/524288, -1174297/1048576]]]], [[11, 9, 10, 7, 3], [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), And(-(y
-1)^(1/2) < z,z < (y-1)^(1/2))], [regular_chain, [[3, 3], [-22960369/8388608,
-22960369/8388608], [1, 1], [4727339/2097152, 4727339/2097152], [0, 0]]]], [[
11, 9, 10, 7, 4], [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 = (y-1)^(1/2)], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [1, 1], [4727339/2097152, 4727339/
2097152], [1174297/1048576, 587149/524288]]]], [[11, 9, 10, 7, 5], [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
), (y-1)^(1/2) < z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [1, 1], [4727339/2097152, 4727339/2097152], [3, 3]]]], [[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 < -1), z = z], [regular_chain, [[3, 3], [0, 0], [-1, -1], [-5, -5]
, [0, 0]]]], [[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 < x, z = z], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [-2, -2], [0, 0
]]]], [[11, 17, 4, 2, 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, 2, 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, 2, 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, 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
< -(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, 8, 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, 8, 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, 8, 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, 8, 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, 9, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), 1 < x, x+3 < y, z < -(y-x)^(1/
2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [2, 2], [
6, 6], [-3, -3]]]], [[1, 2, 9, 9, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), 1 < x
, x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [2, 2], [6, 6], [-2, -2]]]], [[1, 2, 9, 9, 3], [v < -2^(1/2)
, u = -(v^2+2)^(1/2), 1 < x, x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [2, 2], [6, 6]
, [0, 0]]]], [[1, 2, 9, 9, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2), 1 < x, x+3 <
y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [2, 2], [6, 6], [2, 2]]]], [[1, 2, 9, 9, 5], [v < -2^(1/2), u = -(v^
2+2)^(1/2), 1 < x, x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [2, 2], [6, 6], [3, 3]]]], [[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 = z], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [-4, -4], [
0, 0]]]], [[1, 10, 4, 9, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -1, 2 < y,
z < -(y+1)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/
1048576], [-1, -1], [3, 3], [-3, -3]]]], [[1, 10, 4, 9, 2], [v < -2^(1/2), u =
-(v^2-2)^(1/2), x = -1, 2 < y, z = -(y+1)^(1/2)], [regular_chain, [[-3, -3], [
-5548543/2097152, -2774271/1048576], [-1, -1], [3, 3], [-2, -2]]]], [[1, 10, 4
, 9, 3], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -1, 2 < y, And(-(y+1)^(1/2) <
z,z < (y+1)^(1/2))], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/
1048576], [-1, -1], [3, 3], [0, 0]]]], [[1, 10, 4, 9, 4], [v < -2^(1/2), u = -
(v^2-2)^(1/2), x = -1, 2 < y, z = (y+1)^(1/2)], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [-1, -1], [3, 3], [2, 2]]]], [[1, 10, 4, 9
, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -1, 2 < y, (y+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1, -1], [3,
3], [3, 3]]]], [[1, 14, 7, 5, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), And(0 < x,
x < 1), And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[1, 14,
7, 5, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+
2), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]], [[1, 14, 7, 5, 3], [v < -2^(1/2
), u = (v^2-1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[1, 14, 7, 5, 4], [v < -2^(1/2),
u = (v^2-1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [1/2, 1/2], [3/2,
3/2], [1, 1]]]], [[1, 14, 7, 5, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), And(0 <
x,x < 1), And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[1, 16, 1
, 1, 1], [v < -2^(1/2), u = -v, x < -1, y < x, z = z], [regular_chain, [[-3, -\
3], [3, 3], [-2, -2], [-3, -3], [0, 0]]]], [[2, 1, 1, 2, 1], [v = -2^(1/2), u
< -2, x < -u^2+1, y = x-u^2+3, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [-9, -9], [-15, -15], [0, 0]]]], [[2, 2, 3, 3, 1], [
v = -2^(1/2), u = -2, And(-3 < x,x < -1), And(x-1 < y,y < x), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-2, -2], [-5/2,
-5/2], [0, 0]]]], [[2, 9, 9, 9, 1], [v = -2^(1/2), And(-1 < u,u < 0), And(-u^2
+1 < x,x < 1), x-u^2+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [7/8, 7/8], [5, 5], [-4, -4]]]], [[2,
9, 9, 9, 2], [v = -2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), x-u^2+3
< y, z = -(y-x)^(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, 9, 3], [v = -2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), x-u^2+3 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1/2, -1/2], [7/8, 7/8], [5, 5], [0, 0]]]], [[2, 9, 9, 9, 4]
, [v = -2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), x-u^2+3 < y, z = (y
-x)^(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, 9, 5], [v
= -2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), x-u^2+3 < y, (y-x)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [7/8,
7/8], [5, 5], [4, 4]]]], [[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-1, z = z], [regular_chain, [[-1482911/1048576
, -741455/524288], [1/2, 1/2], [-15/8, -15/8], [-4, -4], [0, 0]]]], [[2, 17, 4
, 9, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -1, u^2-2 < y, z < -(y+1)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152,
3913339/2097152], [-1, -1], [3, 3], [-3, -3]]]], [[2, 17, 4, 9, 2], [v = -2^(1
/2), And(3^(1/2) < u,u < 2), x = -1, u^2-2 < y, z = -(y+1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-1, -1], [3, 3], [-2, -2]]]], [[2, 17, 4, 9, 3], [v = -2^(1/2), And
(3^(1/2) < u,u < 2), x = -1, u^2-2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))]
, [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 
3913339/2097152], [-1, -1], [3, 3], [0, 0]]]], [[2, 17, 4, 9, 4], [v = -2^(1/2
), And(3^(1/2) < u,u < 2), x = -1, u^2-2 < y, z = (y+1)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-1
, -1], [3, 3], [2, 2]]]], [[2, 17, 4, 9, 5], [v = -2^(1/2), And(3^(1/2) < u,u
< 2), x = -1, u^2-2 < y, (y+1)^(1/2) < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [3913339/2097152, 3913339/2097152], [-1, -1], [3, 3], [3, 3]]
]], [[2, 18, 7, 1, 1], [v = -2^(1/2), u = 2, And(0 < x,x < 1), y < x-1, z = z]
, [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [1/2, 1/2], [-2
, -2], [0, 0]]]], [[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 < 0, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [
501965/1048576, 250983/524288], [-1, -1], [0, 0]]]], [[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 = 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, 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 = 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, 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 = 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, 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 < x, z = z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/
524288], [-2, -2], [0, 0]]]], [[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 < 0), z <
-(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701
/1048576, 1454701/1048576], [-3, -3], [-401729/524288, -401729/524288], [-3, -\
3]]]], [[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 < 0), z = -(y-x)^(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, 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 < 0), And(-(
y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [-401729/524288, -\
401729/524288], [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 < 0), z = (y-x
)^(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, 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 < 0), (y-
x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701
/1048576, 1454701/1048576], [-3, -3], [-401729/524288, -401729/524288], [3, 3]
]]], [[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+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, 6, 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, 6, 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, 6, 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, 6, 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, 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+2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [1, 1], [3647693/1048576, 1823847/524288], [-3, -3]]]], [[3, 15, 10,
8, 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], [3647693/
1048576, 1823847/524288], [-3301741/2097152, -825435/524288]]]], [[3, 15, 10,
8, 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], [3647693/1048576, 1823847/524288], [0, 0]]]], [[3, 15, 10, 8,
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], [3647693/1048576, 
1823847/524288], [825435/524288, 1650871/1048576]]]], [[3, 15, 10, 8, 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], [3647693/1048576, 1823847/
524288], [3, 3]]]], [[4, 4, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 9, 3, 1], [v = -1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), 
And(0 < y,y < x), z = z], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[4, 10, 6, 2, 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, 1, 5, 1], [v = -1, u = 2^(1/2), x < -2, And(x+2 < y,y
< 0), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [-3, -3], [-1/2, -1/2], [-3, -3]]]], [[4, 12, 1, 5, 2], [v = -1, u =
2^(1/2), x < -2, And(x+2 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[-1,
-1], [741455/524288, 1482911/1048576], [-3, -3], [-1/2, -1/2], [-3315889/
2097152, -207243/131072]]]], [[4, 12, 1, 5, 3], [v = -1, u = 2^(1/2), x < -2,
And(x+2 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
-1, -1], [741455/524288, 1482911/1048576], [-3, -3], [-1/2, -1/2], [0, 0]]]],
[[4, 12, 1, 5, 4], [v = -1, u = 2^(1/2), x < -2, And(x+2 < y,y < 0), z = (y-x)
^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3, -3]
, [-1/2, -1/2], [207243/131072, 1657945/1048576]]]], [[4, 12, 1, 5, 5], [v = -\
1, u = 2^(1/2), x < -2, And(x+2 < y,y < 0), (y-x)^(1/2) < z], [regular_chain,
[[-1, -1], [741455/524288, 1482911/1048576], [-3, -3], [-1/2, -1/2], [3, 3]]]]
, [[5, 2, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 10, 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+2 < y, z < -(y-1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [1, 1], [5, 5]
, [-3, -3]]]], [[5, 3, 10, 9, 2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y, z = -(y-1)^(1/2)], [regular_chain, [[
-1/2, -1/2], [-343151/262144, -343151/262144], [1, 1], [5, 5], [-2, -2]]]], [[
5, 3, 10, 9, 3], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), x = 1, u^2-v^2+2 < y, 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, 9, 4], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y, z = (y-1)^(1/2)], [regular_chain, [[-1/
2, -1/2], [-343151/262144, -343151/262144], [1, 1], [5, 5], [2, 2]]]], [[5, 3,
10, 9, 5], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x =
1, u^2-v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [1, 1], [5, 5], [3, 3]]]], [[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 = -u^2+v^2+2,
z = z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [1, 1],
[562533/1048576, 281267/524288], [0, 0]]]], [[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(x < y,y < 0), z < -(y-x
)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1
/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = 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, 6, 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, 6, 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
, 6, 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, 6, 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, 5, 3, 1], [v = 0, And(0 < u,u < 1), And(-1 < x,x < u^2
-1), And(x < y,y < x-u^2+1), z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [1/2,
1/2], [-7/8, -7/8], [-1/2, -1/2], [-2, -2]]]], [[6, 7, 5, 3, 2], [v = 0, And(0
< u,u < 1), And(-1 < x,x < u^2-1), And(x < y,y < x-u^2+1), z = -(y-x)^(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, 3, 3], [v = 0, And(0 < u,u < 1), And(
-1 < x,x < u^2-1), And(x < y,y < x-u^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [-1/2, -1/2], [0, 0]]]
], [[6, 7, 5, 3, 4], [v = 0, And(0 < u,u < 1), And(-1 < x,x < u^2-1), And(x <
y,y < x-u^2+1), z = (y-x)^(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, 3, 5], [v =
0, And(0 < u,u < 1), And(-1 < x,x < u^2-1), And(x < y,y < x-u^2+1), (y-x)^(1/2
) < z], [regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [-1/2, -1/2], [2, 2
]]]], [[6, 11, 8, 5, 1], [v = 0, 2^(1/2) < u, x = 1, And(0 < y,y < 1), 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(1 < y,y < u^2-v^2+2), 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(1 < y,y < u^2-v^2+
2), 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(1 < 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], [11/8, 11/8], [0
, 0]]]], [[7, 7, 10, 5, 4], [And(0 < v,v < 1), And(-v < u,u < v), x = 1, And(1
< y,y < u^2-v^2+2), 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(1 < y,y < u^2-v^2+2), (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 = x, z < 0], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-1248837/4194304, -1248837/4194304], [-156105/524288, -\
312209/1048576], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[1
/2, 1/2], [1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/
4194304], [-156105/524288, -312209/1048576], [0, 0]]]], [[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 = x,
0 < z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-\
1248837/4194304, -1248837/4194304], [-156105/524288, -312209/1048576], [1, 1]]
]], [[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, 0 < y, 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, 7, 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, 0 < y, 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,
7, 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, 0 < y, 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, 7, 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, 0 < y
, 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, 7, 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, 0 < y, (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, 5, 3, 1], [And(0 < v,v < 1), u =
(v^2+2)^(1/2), And(-1 < x,x < 0), And(x-1 < y,y < x), z = z], [regular_chain,
[[1/2, 1/2], [3/2, 3/2], [-1/2, -1/2], [-1, -1], [0, 0]]]], [[8, 5, 1, 4, 1],
[v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, y = x-u^2+2, z < -(-u^2+2)^(1/2)],
[regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3, -3], [-\
2576463/1048576, -1288231/524288], [-2, -2]]]], [[8, 5, 1, 4, 2], [v = 1, And(
-2^(1/2) < u,u < -1), x < -u^2, y = x-u^2+2, z = -(-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3, -3], [-\
2576463/1048576, -1288231/524288], [-772605/1048576, -1545209/2097152]]]], [[8
, 5, 1, 4, 3], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, y = x-u^2+2, And(-(
-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-3, -3], [-2576463/1048576, -1288231/524288], [-1
/4194304, -1/4194304]]]], [[8, 5, 1, 4, 4], [v = 1, And(-2^(1/2) < u,u < -1),
x < -u^2, y = x-u^2+2, z = (-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743
/1048576, -1265743/1048576], [-3, -3], [-2576463/1048576, -1288231/524288], [
193151/262144, 772605/1048576]]]], [[8, 5, 1, 4, 5], [v = 1, And(-2^(1/2) < u,
u < -1), x < -u^2, y = x-u^2+2, (-u^2+2)^(1/2) < z], [regular_chain, [[1, 1],
[-1265743/1048576, -1265743/1048576], [-3, -3], [-2576463/1048576, -1288231/
524288], [2, 2]]]], [[8, 6, 5, 1, 1], [v = 1, u = -1, And(0 < x,x < 1), y < 0,
z = z], [regular_chain, [[1, 1], [-1, -1], [1/2, 1/2], [-1, -1], [0, 0]]]], [[
8, 11, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7,
1], [v = 1, u = 2^(1/2), x = 1, 3 < y, z < -(y-1)^(1/2)], [regular_chain, [[1,
1], [741455/524288, 1482911/1048576], [1, 1], [4, 4], [-3, -3]]]], [[8, 12, 8,
7, 2], [v = 1, u = 2^(1/2), x = 1, 3 < y, z = -(y-1)^(1/2)], [regular_chain, [
[1, 1], [741455/524288, 1482911/1048576], [1, 1], [4, 4], [-1816187/1048576, -\
3632373/2097152]]]], [[8, 12, 8, 7, 3], [v = 1, u = 2^(1/2), x = 1, 3 < y, 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, 7,
4], [v = 1, u = 2^(1/2), x = 1, 3 < y, z = (y-1)^(1/2)], [regular_chain, [[1,
1], [741455/524288, 1482911/1048576], [1, 1], [4, 4], [908093/524288, 1816187/
1048576]]]], [[8, 12, 8, 7, 5], [v = 1, u = 2^(1/2), x = 1, 3 < y, (y-1)^(1/2)
< z], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [1, 1], [4, 4
], [3, 3]]]], [[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(x-u^2+v^2+1 < y,y < x),
z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [-3647693/2097152, -3647693/2097152], [-8299317/
4194304, -8299317/4194304], [0, 0]]]], [[9, 4, 7, 2, 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, 3, 3, 1], [And(1 < v,v < 2^(1/2)), u = v, And
(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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, 3, 3], [And(1 < v,v < 2^(1/2
)), u = v, And(-1 < x,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)
^(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,
3, 4], [And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 0), And(x < y,y < 0), z
= (y-x)^(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, 3, 5], [And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 0), And(x < y,y < 0),
(y-x)^(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, u
^2-v^2+2 < y, z < -(y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [1, 1], [4, 4], [-3, -3]]]], [[9
, 13, 10, 9, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 1,
u^2-v^2+2 < y, 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, 9, 3], [And(1 < v,v < 2^(1/2)), 
And(v < u,u < (v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y, 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, 9, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 1, u
^2-v^2+2 < y, 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, 9, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u
< (v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [1, 1],
[4, 4], [3, 3]]]], [[10, 2, 4, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 3, 9, 6
, 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, 6, 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, 6, 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, 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 < 0, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1/2, -1/2], [2, 2], [-1, -1], [0, 0]]]], [[
10, 15, 10, 7, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 1, And(-u^2+4 < y
,y < u^2), z < -(y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [3299097/2097152, 3299097/2097152], [1, 1], [2, 2], [-2, -2]]]], [[10, 15,
10, 7, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 1, And(-u^2+4 < y,y < u^2
), z = -(y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [1, 1], [2, 2], [-1, -1]]]], [[10, 15, 10,
7, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), 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], [3299097/2097152, 3299097/2097152], [1, 1], [2, 2], [0, 0]]]
], [[10, 15, 10, 7, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 1, And(-u^2+
4 < y,y < u^2), z = (y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [1, 1], [2, 2], [1, 1]]]], [[10,
15, 10, 7, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 1, And(-u^2+4 < y,y <
u^2), (y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [1, 1], [2, 2], [2, 2]]]], [[10, 17, 6, 1,
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], [-2, -2], [0, 0]]]], [[10, 18, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6
, 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, 2
, 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
= z], [regular_chain, [[3, 3], [-5, -5], [-17, -17], [-32, -32], [0, 0]]]], [[
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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-3, -3], [-391287/262144, -1565147/1048576], [-3,
-3]]]], [[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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3],
[-6111549/2097152, -6111549/2097152], [-3, -3], [-391287/262144, -1565147/
1048576], [-1287385/1048576, -160923/131072]]]], [[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 = x-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], [-3, -3], [-391287/262144, -1565147/1048576], [0,
0]]]], [[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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-3, -3], [-391287/262144, -1565147/
1048576], [160923/131072, 1287385/1048576]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)
^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-\
3, -3], [-391287/262144, -1565147/1048576], [3, 3]]]], [[11, 8, 5, 1, 1], [2^(
1/2) < v, u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y < x, z = z], [regular_chain
, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [-2, -2], [0,
0]]]], [[11, 12, 6, 7, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 0, 3 < y, z <
-y^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [0, 0], [4,
4], [-3, -3]]]], [[11, 12, 6, 7, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 0, 3
< y, z = -y^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [0
, 0], [4, 4], [-2, -2]]]], [[11, 12, 6, 7, 3], [2^(1/2) < v, u = (v^2-2)^(1/2)
, x = 0, 3 < y, 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, 7, 4], [
2^(1/2) < v, u = (v^2-2)^(1/2), x = 0, 3 < y, z = y^(1/2)], [regular_chain, [[
3, 3], [2774271/1048576, 10837/4096], [0, 0], [4, 4], [2, 2]]]], [[11, 12, 6,
7, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 0, 3 < y, y^(1/2) < z], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [0, 0], [4, 4], [3, 3]]
]], [[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(u^2-v^2+x+1 < y,y < x), 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+3 < y
,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867
/524288], [-4, -4], [-1/2, -1/2], [-3, -3]]]], [[11, 20, 1, 7, 2], [2^(1/2) <
v, u = (v^2+2)^(1/2), x < -3, And(x+3 < y,y < 0), z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-4, -4], [-1/2, -1
/2], [-7846825/4194304, -980853/524288]]]], [[11, 20, 1, 7, 3], [2^(1/2) < v,
u = (v^2+2)^(1/2), x < -3, And(x+3 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^
(1/2))], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-4, -4],
[-1/2, -1/2], [0, 0]]]], [[11, 20, 1, 7, 4], [2^(1/2) < v, u = (v^2+2)^(1/2),
x < -3, And(x+3 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [
3477733/1048576, 1738867/524288], [-4, -4], [-1/2, -1/2], [980853/524288, 
1961707/1048576]]]], [[11, 20, 1, 7, 5], [2^(1/2) < v, u = (v^2+2)^(1/2), x <
-3, And(x+3 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [3477733/
1048576, 1738867/524288], [-4, -4], [-1/2, -1/2], [3, 3]]]], [[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 = z],
[regular_chain, [[3, 3], [5, 5], [0, 0], [-15/2, -15/2], [0, 0]]]], [[1, 4, 4,
5, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = -1, And(0 < y,y < 1), z < -(y+1)
^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-1, -1
], [1/2, 1/2], [-3, -3]]]], [[1, 4, 4, 5, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2
), x = -1, And(0 < y,y < 1), z = -(y+1)^(1/2)], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [-1, -1], [1/2, 1/2], [-1284239/1048576, -\
642119/524288]]]], [[1, 4, 4, 5, 3], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = -1
, And(0 < y,y < 1), And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536]
, [-1, -1], [1/2, 1/2], [642119/524288, 1284239/1048576]]]], [[1, 4, 4, 5, 5],
[v < -2^(1/2), u = -(v^2+1)^(1/2), x = -1, And(0 < y,y < 1), (y+1)^(1/2) < z],
[regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-1, -1], [1/2,
1/2], [3, 3]]]], [[1, 5, 10, 4, 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, 4, 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, 4, 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, 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 = x, z < 0], [regular_chain, [[-3, -3], [
0, 0], [9/2, 9/2], [9/2, 9/2], [-1, -1]]]], [[1, 11, 9, 6, 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, 6, 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, 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 = x, z < 0], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-919691/524288, -\
919691/524288], [-919691/524288, -919691/524288], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [-919691/524288, -919691/524288], [-919691/524288, -919691/524288], [
0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [-919691/524288, -919691/524288], [-919691/
524288, -919691/524288], [1, 1]]]], [[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-u^2+v^2+1 < y,y < u^2-v^2+x+1),
z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072],
[1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[1, 17, 9, 7, 2], [v < -2^(1/2), And(-v
< u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1)
, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072]
, [1/2, 1/2], [3/2, 3/2], [-1, -1]]]], [[1, 17, 9, 7, 3], [v < -2^(1/2), And(-
v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(x-u^2+v^2+1 < y,y < u^2-v^2+x+
1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [403851
/131072, 403851/131072], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[1, 17, 9, 7, 4],
[v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(x-u^2+v^2+
1 < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[1, 17, 9, 7, 5],
[v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(x-u^2+v^2+
1 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[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
< x-u^2+v^2+1, z = z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[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-1 < y, z < -(y-x)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [505467/2097152, 505467/2097152], [4, 4], [-3, -3]]]], [[2,
3, 7, 9, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), u^
2+x-1 < y, z = -(y-x)^(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, 9, 3], [v = -
2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), u^2+x-1 < y, And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [505467/2097152, 505467/2097152
], [4, 4], [0, 0]]]], [[2, 3, 7, 9, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)
), And(0 < x,x < u^2-3), u^2+x-1 < y, z = (y-x)^(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, 9, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3
), u^2+x-1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [505467/2097152, 505467/2097152
], [4, 4], [3, 3]]]], [[2, 5, 3, 5, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v)
, And(-u^2+1 < x,x < -1), And(x-u^2+3 < y,y < 0), z < -(y-x)^(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(x-u^2+3 < y,y < 0), z = -(y-x)^(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(x-u^2+3 <
y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x-u^2+3 < y,y < 0), z = (y-x)^(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(x-u^2+3 < y,y < 0), (y-x)^(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 < x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1482911/1048576, -741455/524288], [2, 2], [5/2, 5/2], [-2, -\
2]]]], [[2, 6, 7, 5, 2], [v = -2^(1/2), u = v, 1 < x, And(x < y,y < x+1), z =
-(y-x)^(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, 5, 3], [v = -2^(1/2), u = v, 1 < x, And(x < y,y < x+1)
, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1482911/1048576, -741455/524288], [2, 2], [5/2, 5/2], [0, 0
]]]], [[2, 6, 7, 5, 4], [v = -2^(1/2), u = v, 1 < x, And(x < y,y < x+1), z = (
y-x)^(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, 5, 5], [v = -2^(1/2), u = v, 1 < x, And(x < y,y < x+1), (y-x)^(1/
2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/
1048576, -741455/524288], [2, 2], [5/2, 5/2], [2, 2]]]], [[2, 8, 3, 7, 1], [v
= -2^(1/2), u = -1, And(-2 < x,x < -1), x+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-3/2, -3/2], [2
, 2], [-3, -3]]]], [[2, 8, 3, 7, 2], [v = -2^(1/2), u = -1, And(-2 < x,x < -1)
, x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1, -1], [-3/2, -3/2], [2, 2], [-7846825/4194304, -980853/524288]]]]
, [[2, 8, 3, 7, 3], [v = -2^(1/2), u = -1, And(-2 < x,x < -1), x+2 < y, And(-(
y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1, -1], [-3/2, -3/2], [2, 2], [0, 0]]]], [[2, 8, 3, 7, 4], [v = -2^
(1/2), u = -1, And(-2 < x,x < -1), x+2 < y, z = (y-x)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1, -1], [-3/2, -3/2], [2, 2], [980853/
524288, 1961707/1048576]]]], [[2, 8, 3, 7, 5], [v = -2^(1/2), u = -1, And(-2 <
x,x < -1), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1, -1], [-3/2, -3/2], [2, 2], [3, 3]]]], [[2, 13, 11, 9, 1],
[v = -2^(1/2), And(1 < u,u < -v), 1 < x, x-u^2+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [2, 2], [5, 5], [-3, -3]]]], [[2, 13, 11, 9, 2], [v = -2^(1/2), And(
1 < u,u < -v), 1 < x, x-u^2+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [2, 2],
[5, 5], [-1816187/1048576, -3632373/2097152]]]], [[2, 13, 11, 9, 3], [v = -2^(
1/2), And(1 < u,u < -v), 1 < x, x-u^2+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1
/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576,
1265743/1048576], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[2, 13, 11, 9,
4], [v = -2^(1/2), And(1 < u,u < -v), 1 < x, x-u^2+3 < y, z = (y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [2, 2], [5, 5], [908093/524288, 1816187/1048576]]]], [[2, 13, 11, 9,
5], [v = -2^(1/2), And(1 < u,u < -v), 1 < x, x-u^2+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [2, 2], [5, 5], [3, 3]]]], [[2, 15, 9, 3, 1], [v = -2^(1/2), And(-v
< u,u < 3^(1/2)), And(0 < x,x < 1), And(0 < y,y < x), z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [1/2,
1/2], [1/4, 1/4], [0, 0]]]], [[2, 19, 11, 8, 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, 8, 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, 8, 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, 8, 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, 8,
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, 3, 4, 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, 4, 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, 4, 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, 3, 3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-2 < x,x
< -1), And(x < y,y < 0), z < -(y-x)^(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, 3, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^
(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z = -(y-x)^(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,
3, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), And(
x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [And(-2^(1
/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z =
(y-x)^(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, 3, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2),
And(-2 < x,x < -1), And(x < y,y < 0), (y-x)^(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, 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 = u^2-
v^2+x+1, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0]
, [1527887/2097152, 1527887/2097152], [35579/131072, 284633/1048576], [0, 0]]]
], [[3, 17, 4, 5, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -1, 
And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z
= -(y+1)^(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(-1 < y,y < 0)
, And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z
= (y+1)^(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(-1 < y,y < 0), (y+1)^
(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 < x-u^2+2, z = z], [regular_chain, [[-1, -1], [-3, -3], [1/2, 1/
2], [-8, -8], [0, 0]]]], [[4, 7, 6, 5, 1], [v = -1, And(-1 < u,u < 0), x = -u^
2, And(0 < y,y < -2*u^2+2), 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, 5, 2], [v = -1,
And(-1 < u,u < 0), x = -u^2, And(0 < y,y < -2*u^2+2), 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, 5, 3], [v = -1, And(-1 < u,u < 0), 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], [-1/
2, -1/2], [-1/4, -1/4], [3/4, 3/4], [0, 0]]]], [[4, 7, 6, 5, 4], [v = -1, And(
-1 < u,u < 0), x = -u^2, And(0 < y,y < -2*u^2+2), 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, 5, 5], [v = -1, And(-1 < u,u < 0), x = -u^2, And(0 < y,y < -2*u^2+2)
, (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, 2, 1, 1], [v = -1, And(0 < u,u < 1), x = u^2-2,
y < u^2-2, z = z], [regular_chain, [[-1, -1], [1/2, 1/2], [-7/4, -7/4], [-3, -\
3], [0, 0]]]], [[4, 13, 8, 2, 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, 1, 7, 1
], [v = -1, 3^(1/2) < u, x < -u^2, And(u^2+x < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [3, 3], [-10, -10], [-1/2, -1/2], [-5, -5]]]], [[4,
15, 1, 7, 2], [v = -1, 3^(1/2) < u, x < -u^2, And(u^2+x < y,y < 0), z = -(y-x)
^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-10, -10], [-1/2, -1/2], [-\
3231929/1048576, -403991/131072]]]], [[4, 15, 1, 7, 3], [v = -1, 3^(1/2) < u,
x < -u^2, And(u^2+x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1, -1], [3, 3], [-10, -10], [-1/2, -1/2], [0, 0]]]], [[4, 15
, 1, 7, 4], [v = -1, 3^(1/2) < u, x < -u^2, And(u^2+x < y,y < 0), z = (y-x)^(1
/2)], [regular_chain, [[-1, -1], [3, 3], [-10, -10], [-1/2, -1/2], [403991/
131072, 3231929/1048576]]]], [[4, 15, 1, 7, 5], [v = -1, 3^(1/2) < u, x < -u^2
, And(u^2+x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [3, 3], [
-10, -10], [-1/2, -1/2], [5, 5]]]], [[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 = 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], [424157/524288, 848315/1048576], [-3, -3]]]
], [[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 = 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],
[424157/524288, 848315/1048576], [-19417/16384, -1242687/1048576]]]], [[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
= 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], [424157/524288, 848315/1048576], [0, 0]]]], [[5, 5
, 6, 6, 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], [
424157/524288, 848315/1048576], [1242687/1048576, 19417/16384]]]], [[5, 5, 6,
6, 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], [424157/
524288, 848315/1048576], [3, 3]]]], [[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-u^2+v^2+1 < y, z < -(y-x)^(1/2)],
[regular_chain, [[-1/2, -1/2], [0, 0], [-9/8, -9/8], [2, 2], [-3, -3]]]], [[5,
7, 3, 9, 2], [And(-1 < v,v < 0), And(v < u,u < -v), And(u^2-v^2-1 < x,x < -1),
x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-9
/8, -9/8], [2, 2], [-7414553/4194304, -926819/524288]]]], [[5, 7, 3, 9, 3], [
And(-1 < v,v < 0), And(v < u,u < -v), And(u^2-v^2-1 < x,x < -1), x-u^2+v^2+1 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [0,
0], [-9/8, -9/8], [2, 2], [0, 0]]]], [[5, 7, 3, 9, 4], [And(-1 < v,v < 0), And
(v < u,u < -v), And(u^2-v^2-1 < x,x < -1), x-u^2+v^2+1 < y, z = (y-x)^(1/2)],
[regular_chain, [[-1/2, -1/2], [0, 0], [-9/8, -9/8], [2, 2], [926819/524288, 
1853639/1048576]]]], [[5, 7, 3, 9, 5], [And(-1 < v,v < 0), And(v < u,u < -v),
And(u^2-v^2-1 < x,x < -1), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain,
[[-1/2, -1/2], [0, 0], [-9/8, -9/8], [2, 2], [3, 3]]]], [[5, 8, 7, 7, 1], [And
(-1 < v,v < 0), u = -v, 1 < x, x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [1/2, 1/2], [2, 2], [4, 4], [-3, -3]]]], [[5, 8, 7, 7, 2], [And(-1
< v,v < 0), u = -v, 1 < x, x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1/2,
-1/2], [1/2, 1/2], [2, 2], [4, 4], [-1482911/1048576, -741455/524288]]]], [[5,
8, 7, 7, 3], [And(-1 < v,v < 0), u = -v, 1 < x, x+1 < y, And(-(y-x)^(1/2) < z,
z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2], [4, 4],
[0, 0]]]], [[5, 8, 7, 7, 4], [And(-1 < v,v < 0), u = -v, 1 < x, x+1 < y, z = (
y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2], [4, 4], [
741455/524288, 1482911/1048576]]]], [[5, 8, 7, 7, 5], [And(-1 < v,v < 0), u =
-v, 1 < x, x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1/2, 1/2
], [2, 2], [4, 4], [3, 3]]]], [[5, 10, 4, 2, 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, 2, 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, 2, 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, 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 = -2, z < 0], [
regular_chain, [[0, 0], [-1, -1], [-2, -2], [-2, -2], [-1, -1]]]], [[6, 4, 2,
2, 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, 2, 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, 1, 1], [v = 0, And(1 < u,u < 2^(1/2)), x < -u^2-1, y < x-u^2+1, z
= z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-4, -4], [
-6, -6], [0, 0]]]], [[6, 10, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 1], [And(0 < v,v < 1), u = -(v^2+1)
^(1/2), x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[1/2, 1/2], [-146543
/131072, -1172343/1048576], [1, 1], [1/2, 1/2], [0, 0]]]], [[7, 6, 2, 3, 1], [
And(0 < v,v < 1), u = -v, x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(
y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+
1)^(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(-1 < y,y < 0), (y+1)^(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 = 0, z = z], [regular_chain, [[1/2,
1/2], [3, 3], [31/4, 31/4], [0, 0], [0, 0]]]], [[8, 2, 1, 3, 1], [v = 1, u = -
3^(1/2), x < -3, And(x-1 < y,y < x), z = z], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [-4, -4], [-9/2, -9/2], [0, 0]]]], [[8, 8,
1, 2, 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, 2, 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, 2, 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, 3, 1], [v = 1, And(0 < u,u
< 1), And(-u^2 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain
, [[1, 1], [1/2, 1/2], [-1/8, -1/8], [-1/16, -1/16], [-2, -2]]]], [[8, 9, 7, 3
, 2], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0), And(x < y,y < 0), z = -(y
-x)^(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, 3, 3], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x <
0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[1, 1], [1/2, 1/2], [-1/8, -1/8], [-1/16, -1/16], [0, 0]]]], [[8, 9, 7, 3, 4]
, [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0), And(x < y,y < 0), z = (y-x)^(
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, 3, 5], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0), 
And(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8
, -1/8], [-1/16, -1/16], [2, 2]]]], [[8, 14, 3, 1, 1], [v = 1, u = 3^(1/2), 
And(-3 < x,x < -1), y < x-1, z = z], [regular_chain, [[1, 1], [908093/524288,
1816187/1048576], [-2, -2], [-4, -4], [0, 0]]]], [[8, 15, 7, 2, 1], [v = 1, 3^
(1/2) < u, And(0 < x,x < 1), y = x-u^2+2, z = z], [regular_chain, [[1, 1], [3,
3], [1/2, 1/2], [-13/2, -13/2], [0, 0]]]], [[9, 6, 1, 3, 1], [And(1 < v,v < 2^
(1/2)), u = -v, x < -1, And(x < y,y < x+1), z < -(y-x)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2
, -2], [-3/2, -3/2], [-2, -2]]]], [[9, 6, 1, 3, 2], [And(1 < v,v < 2^(1/2)), u
= -v, x < -1, And(x < y,y < x+1), z = -(y-x)^(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, 3, 3], [And(1 <
v,v < 2^(1/2)), u = -v, x < -1, And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/
1048576, -1265743/1048576], [-2, -2], [-3/2, -3/2], [0, 0]]]], [[9, 6, 1, 3, 4
], [And(1 < v,v < 2^(1/2)), u = -v, x < -1, And(x < y,y < x+1), z = (y-x)^(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, 3, 5], [And(1 < v,v < 2^(1/2)), u = -v, x < -1, And(x < y,y < x+1), (
y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [-2, -2], [-3/2, -3/2], [2, 2]]]], [[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 = 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [1/2, 1/2], [0, 0], [0, 0]]]], [[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 = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[9, 10, 8, 7, 1]
, [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 1, 3 < y, z < -(y-1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [1, 1], [4, 4], [-3, -3]]]], [[9, 10, 8, 7, 2], [And(1 < v,v < 2^(1/
2)), u = (v^2-1)^(1/2), x = 1, 3 < y, 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, 7, 3], [And(1 < v,v
< 2^(1/2)), u = (v^2-1)^(1/2), x = 1, 3 < y, 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, 7, 4
], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 1, 3 < y, 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, 7,
5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 1, 3 < y, (y-1)^(1/2) < z]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [1, 1], [4, 4], [3, 3]]]], [[9, 16, 9, 1, 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], [-1, -1], [0, 0]]]]
, [[10, 1, 1, 9, 1], [v = 2^(1/2), u < -2, x < -u^2+1, 0 < y, z < -(y-x)^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9, -9], [1,
1], [-5, -5]]]], [[10, 1, 1, 9, 2], [v = 2^(1/2), u < -2, x < -u^2+1, 0 < y, z
= -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3],
[-9, -9], [1, 1], [-3315889/1048576, -207243/65536]]]], [[10, 1, 1, 9, 3], [v
= 2^(1/2), u < -2, x < -u^2+1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9, -9], [1, 1],
[0, 0]]]], [[10, 1, 1, 9, 4], [v = 2^(1/2), u < -2, x < -u^2+1, 0 < y, z = (y-
x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9, -\
9], [1, 1], [207243/65536, 3315889/1048576]]]], [[10, 1, 1, 9, 5], [v = 2^(1/2
), u < -2, x < -u^2+1, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [-9, -9], [1, 1], [5, 5]]]], [[10, 5, 5, 2
, 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, 2, 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, 2, 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, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 7, 1], [v = 2^(1/2), u = 1, x = 1, 3 < y, z < -(y-1)^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1, 1], [4, 4],
[-3, -3]]]], [[10, 12, 8, 7, 2], [v = 2^(1/2), u = 1, x = 1, 3 < y, z = -(y-1)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1, 1], [4
, 4], [-1816187/1048576, -3632373/2097152]]]], [[10, 12, 8, 7, 3], [v = 2^(1/2
), u = 1, x = 1, 3 < y, 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, 7, 4], [v = 2^(1/2), u = 1, x = 1, 3 < y, z = (y-1)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1, 1], [4,
4], [908093/524288, 1816187/1048576]]]], [[10, 12, 8, 7, 5], [v = 2^(1/2), u =
1, x = 1, 3 < y, (y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1, 1], [1, 1], [4, 4], [3, 3]]]], [[10, 14, 2, 3, 1], [v = 2^(1/2),
u = v, x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y
,y < 0), z = -(y+1)^(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(-1 <
y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y
< 0), z = (y+1)^(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(-1 < y,y
< 0), (y+1)^(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 < -3^(1/2)], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-1, -1], [2, 2],
[-3, -3]]]], [[11, 2, 4, 8, 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, 8, 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, 8, 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, 8, 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, 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 = 0, z = z], [regular_chain, [[
3, 3], [-3396811/1048576, -3396811/1048576], [1566621/2097152, 1566621/2097152
], [0, 0], [0, 0]]]], [[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 < 0, z = z], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [2, 2], [-1, -1], [0, 0]]]], [[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 = z], [regular_chain, [[3, 3], [0, 0], [-1, -1], [-9, -9], [0, 0]]]
], [[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 = x, z < 0], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [-516571/2097152, -516571/2097152], [-129143/524288, -258285
/1048576], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [-\
129143/524288, -258285/1048576], [0, 0]]]], [[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 = x, 0 < z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-516571/2097152,
-516571/2097152], [-129143/524288, -258285/1048576], [1, 1]]]], [[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 = 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], [258691/1048576,
64673/262144], [-3, -3]]]], [[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 = 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], [258691/1048576, 64673/262144], [-1281417/1048576,
-160177/131072]]]], [[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 = u^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], [258691/1048576, 64673/262144],
[0, 0]]]], [[11, 17, 3, 8, 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], [258691/1048576, 64673/262144], [160177/131072, 1281417/
1048576]]]], [[11, 17, 3, 8, 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], [258691/1048576, 64673/262144], [3, 3]]]], [[1, 1, 7, 7, 1],
[v < -2^(1/2), u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < u^2-v^2+x+1
), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [1/2, 1/2], [9, 9],
[-4, -4]]]], [[1, 1, 7, 7, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(0 < x,x
< 1), And(x < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3]
, [-5, -5], [1/2, 1/2], [9, 9], [-24456785/8388608, -1528549/524288]]]], [[1,
1, 7, 7, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y
< u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3,
-3], [-5, -5], [1/2, 1/2], [9, 9], [0, 0]]]], [[1, 1, 7, 7, 4], [v < -2^(1/2),
u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < u^2-v^2+x+1), z = (y-x)^(1
/2)], [regular_chain, [[-3, -3], [-5, -5], [1/2, 1/2], [9, 9], [1528549/524288
, 3057099/1048576]]]], [[1, 1, 7, 7, 5], [v < -2^(1/2), u < -(v^2+2)^(1/2), 
And(0 < x,x < 1), And(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain
, [[-3, -3], [-5, -5], [1/2, 1/2], [9, 9], [4, 4]]]], [[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(x-u^2
+v^2+1 < y,y < x), z = z], [regular_chain, [[-3, -3], [-3396811/1048576, -\
3396811/1048576], [-4, -4], [-2226663/524288, -2226663/524288], [0, 0]]]], [[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 < 0), z < -(y-u^2+v^2+1)^(1/2)], [regular_chain
, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-657547/262144, -5260375
/2097152], [-5260375/4194304, -5260375/4194304], [-3, -3]]]], [[1, 9, 2, 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^2-1 < y,y < 0), z = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3]
, [-22960369/8388608, -22960369/8388608], [-657547/262144, -5260375/2097152],
[-5260375/4194304, -5260375/4194304], [-587149/524288, -1174297/1048576]]]], [
[1, 9, 2, 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^2-1 < y,y < 0), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2
+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [-657547/262144, -5260375/2097152], [-5260375/4194304, -5260375/
4194304], [0, 0]]]], [[1, 9, 2, 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^2-1 < y,y < 0), z = (y-u^2+v^2+1)^
(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-\
657547/262144, -5260375/2097152], [-5260375/4194304, -5260375/4194304], [
1174297/1048576, 587149/524288]]]], [[1, 9, 2, 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^2-1 < y,y < 0), (y
-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [-657547/262144, -5260375/2097152], [-5260375/4194304, -\
5260375/4194304], [3, 3]]]], [[1, 10, 5, 1, 1], [v < -2^(1/2), u = -(v^2-2)^(1
/2), And(-1 < x,x < 0), y < x-1, z = z], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[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 = x+1, 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 = x+1, 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 = x+1, 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 = x+1, 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 = x+1, 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 = 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, 8, 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, 8, 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, 8, 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, 8, 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, 3, 4, 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, 4, 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, 4, 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, 8, 1], [v = -2^(1/2), 
And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), y = x-u^2+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, 8, 2], [v = -2^(1/2), And(-1 < u,u < 0),
And(-u^2+1 < x,x < 1), y = x-u^2+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, 8, 3], [v = -2^(1/2), And(-1
< u,u < 0), And(-u^2+1 < x,x < 1), y = x-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], [7/8, 7/8], [29/8, 29/8], [-1/4194304, -1/4194304]]]], [[2, 9, 9, 8, 4],
[v = -2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), y = x-u^2+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, 8,
5], [v = -2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), y = x-u^2+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, 3, 4, 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, 4, 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, 4, 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, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 2, 1], [v = -2^(1/2), u = 2
, And(0 < x,x < 1), y = x-1, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [2, 2], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[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 < -(y-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [
501965/2097152, 501965/2097152], [4, 4], [-3, -3]]]], [[3, 3, 7, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z <
(y-x)^(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, 9, 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), u^2-v^2+
x+1 < y, z = (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [501965/
2097152, 501965/2097152], [4, 4], [3, 3]]]], [[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(x-u^
2+v^2+1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-646847/524288, -\
646847/524288], [-1470709/4194304, -1470709/4194304], [-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(x-u^2+v^2+1 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [
-646847/524288, -646847/524288], [-1470709/4194304, -1470709/4194304], [-\
15766285/16777216, -3941571/4194304]]]], [[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(x-u^2+v^
2+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
646847/524288, -646847/524288], [-1470709/4194304, -1470709/4194304], [-3/
8388608, -3/8388608]]]], [[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(x-u^2+v^2+1 < y,y < 0),
z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-646847/524288, -646847/524288], [-\
1470709/4194304, -1470709/4194304], [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(x-u^2+v^2+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304],
[-646847/524288, -646847/524288], [-1470709/4194304, -1470709/4194304], [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(0 < y,y < -u^2+v^2), z < -(y+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1]
, [149551/524288, 149551/524288], [-3, -3]]]], [[3, 11, 4, 7, 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 = -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-1, -1], [149551/524288, 149551/524288], [-\
1188757/1048576, -297189/262144]]]], [[3, 11, 4, 7, 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(-(y+1
)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-1, -1], [149551/524288, 149551/
524288], [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(0 < y,y < -u^2+v^2), z = (y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [149551/524288, 149551/524288], [297189/262144, 1188757/
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(0 < y,y < -u^2+v^2), (y+1)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-1,
-1], [149551/524288, 149551/524288], [3, 3]]]], [[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 = 0, z < -(-x
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-3, -3], [0, 0], [-3, -3]]]], [[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 = 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, 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 = 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, 8
, 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, 8, 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, 5, 3, 1], [And(-2^(1/2) < v,v < -1), u = (v^2
+1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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, 3, 2], [And(-2^
(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z =
-(y-x)^(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, 3, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), 
And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [And(-2^(1/2) < v,v < -1), u
= (v^2+1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [And(-
2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), (
y-x)^(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, 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+2 < y, z < -(y-1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [1, 1], [5, 5], [-\
3, -3]]]], [[3, 15, 10, 9, 2], [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+2 < y, z = -(y-1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [1, 1],
[5, 5], [-2, -2]]]], [[3, 15, 10, 9, 3], [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+2 < y, 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, 9, 4], [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+2
< y, z = (y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[898327/524288, 898327/524288], [1, 1], [5, 5], [2, 2]]]], [[3, 15, 10, 9, 5],
[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+2 < y, (y-1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [1, 1], [5, 5], [3, 3]]]], [[4, 4, 3
, 5, 1], [v = -1, u = -2^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2), z < -(
y-x)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-\
3/2, -3/2], [1/4, 1/4], [-3, -3]]]], [[4, 4, 3, 5, 2], [v = -1, u = -2^(1/2),
And(-2 < x,x < -1), And(0 < y,y < x+2), z = -(y-x)^(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, 5, 3], [v = -1, u = -2^(1/2), And(-2 <
x,x < -1), And(0 < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3/2, -3/2], [1
/4, 1/4], [0, 0]]]], [[4, 4, 3, 5, 4], [v = -1, u = -2^(1/2), And(-2 < x,x < -\
1), And(0 < y,y < x+2), z = (y-x)^(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, 5, 5], [v = -1, u = -2^(1/2), And(-2 < x,x < -1), And(0 <
y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1482911/1048576, -\
741455/524288], [-3/2, -3/2], [1/4, 1/4], [3, 3]]]], [[4, 5, 9, 6, 1], [v = -1
, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), y = x-u^2+2, z < -(-u^2+2)^(1/2)
], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2]
, [1093553/1048576, 546777/524288], [-2, -2]]]], [[4, 5, 9, 6, 2], [v = -1, 
And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), y = x-u^2+2, z = -(-u^2+2)^(1/2)],
[regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [
1093553/1048576, 546777/524288], [-772605/1048576, -1545209/2097152]]]], [[4,
5, 9, 6, 3], [v = -1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), y = x-u^2+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], [1093553/1048576, 546777/
524288], [-1/4194304, -1/4194304]]]], [[4, 5, 9, 6, 4], [v = -1, And(-2^(1/2)
< u,u < -1), And(0 < x,x < 1), y = x-u^2+2, z = (-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [
1093553/1048576, 546777/524288], [193151/262144, 772605/1048576]]]], [[4, 5, 9
, 6, 5], [v = -1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), y = x-u^2+2, (-u
^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [1/2, 1/2], [1093553/1048576, 546777/524288], [2, 2]]]], [[4, 10, 5,
6, 1], [v = -1, u = 1, And(0 < x,x < 1), y = x+1, z < -1], [regular_chain, [[-\
1, -1], [1, 1], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[4, 10, 5, 6, 2], [v = -\
1, u = 1, And(0 < x,x < 1), y = x+1, z = -1], [regular_chain, [[-1, -1], [1, 1
], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]], [[4, 10, 5, 6, 3], [v = -1, u = 1, And
(0 < x,x < 1), y = x+1, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [1, 1],
[1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[4, 10, 5, 6, 4], [v = -1, u = 1, And(0 <
x,x < 1), y = x+1, z = 1], [regular_chain, [[-1, -1], [1, 1], [1/2, 1/2], [3/2
, 3/2], [1, 1]]]], [[4, 10, 5, 6, 5], [v = -1, u = 1, And(0 < x,x < 1), y = x+
1, 1 < z], [regular_chain, [[-1, -1], [1, 1], [1/2, 1/2], [3/2, 3/2], [2, 2]]]
], [[4, 12, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6
, 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
, 6, 5, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 0,
And(0 < y,y < 3), 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, 5, 3], [
And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 0
, And(0 < y,y < 3), 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, 5, 5], [
And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 0, And(0 < y,y < 3), y^(1/2) < z],
[regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [0, 0], [3/2, 3/2], [3, 3]]]], [[
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(0 < y,y < x-u^2+v^2+1), z = z], [regular_chain, [[-1/2, -1/2], [
-343151/262144, -343151/262144], [2, 2], [1611109/2097152, 1611109/2097152], [
0, 0]]]], [[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 < 0, z = z], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [1, 1], [-1, -1], [0, 0]]]], [[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 = 0, z < -(-x)^
(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-43/8, -43/8], [0, 0], [-4, -4
]]]], [[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 = 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, 6, 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, 6, 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, 6, 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, 5, 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, 5, 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,
5, 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, 5, 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, 5, 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, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 2, 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, 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 < 2*u^2-2*v^2), z < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [31/4, 31/4], [101/8, 101/8], [-4, -4]]]
], [[7, 1, 10, 5, 2], [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 = -(y-u^2+v^2+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, 5, 3], [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), And(-(y-u^2+v^2+1)^(1/2) <
z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [31/4, 31/
4], [101/8, 101/8], [0, 0]]]], [[7, 1, 10, 5, 4], [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 = (y-u^2+v^2+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, 5, 5], [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), (y-u^2+v^
2+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, 4, 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, 4, 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, 4, 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, 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(0 < y,y < x-u^2+v^2+1), z < -(y-x)^(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(0 < y,y < x-u^
2+v^2+1), z = -(y-x)^(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(
0 < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(0 < y,y < x-u^2+v^2+1), z = (y-x)^(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(0 < y,y < x-u^2+v^2+1), (y-x)^(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(x-u^2+v^2+1 < y,y < x), 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, 2, 1], [And(0 < v,v < 1), u = (v^2+
2)^(1/2), And(-1 < x,x < 0), y = x-1, 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, 5, 1], [v = 1, And(
-2^(1/2) < u,u < -1), x < -u^2, And(x-u^2+2 < y,y < u^2+x), z < -(y-x)^(1/2)],
[regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3, -3], [-\
8388607/4194304, -8388607/4194304], [-3, -3]]]], [[8, 5, 1, 5, 2], [v = 1, And
(-2^(1/2) < u,u < -1), x < -u^2, And(x-u^2+2 < y,y < u^2+x), z = -(y-x)^(1/2)]
, [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3, -3], [-\
8388607/4194304, -8388607/4194304], [-1048577/1048576, -1]]]], [[8, 5, 1, 5, 3
], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, And(x-u^2+2 < y,y < u^2+x), And
(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-3, -3], [-8388607/4194304, -8388607/4194304], [0
, 0]]]], [[8, 5, 1, 5, 4], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, And(x-u
^2+2 < y,y < u^2+x), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-3, -3], [-8388607/4194304, -8388607/4194304], [1
, 1048577/1048576]]]], [[8, 5, 1, 5, 5], [v = 1, And(-2^(1/2) < u,u < -1), x <
-u^2, And(x-u^2+2 < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [
-1265743/1048576, -1265743/1048576], [-3, -3], [-8388607/4194304, -8388607/
4194304], [3, 3]]]], [[8, 6, 4, 3, 1], [v = 1, u = -1, x = 0, And(0 < y,y < 1)
, 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(0 < y,y < 1), 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(0 < y,y < 1),
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(0 < y,y < 1),
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(0 < y,y
< 1), 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, u^2-1 < y, z
< -(y+1)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576],
[-1, -1], [2, 2], [-3, -3]]]], [[8, 11, 4, 9, 2], [v = 1, And(1 < u,u < 2^(1/2
)), x = -1, u^2-1 < y, z = -(y+1)^(1/2)], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-1, -1], [2, 2], [-1816187/1048576, -3632373/
2097152]]]], [[8, 11, 4, 9, 3], [v = 1, And(1 < u,u < 2^(1/2)), x = -1, u^2-1
< y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1, 1], [1265743
/1048576, 1265743/1048576], [-1, -1], [2, 2], [-1/4194304, -1/4194304]]]], [[8
, 11, 4, 9, 4], [v = 1, And(1 < u,u < 2^(1/2)), x = -1, u^2-1 < y, z = (y+1)^(
1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1, -1],
[2, 2], [908093/524288, 1816187/1048576]]]], [[8, 11, 4, 9, 5], [v = 1, And(1
< u,u < 2^(1/2)), x = -1, u^2-1 < y, (y+1)^(1/2) < z], [regular_chain, [[1, 1]
, [1265743/1048576, 1265743/1048576], [-1, -1], [2, 2], [3, 3]]]], [[8, 12, 8,
6, 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,
6, 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, 6, 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, 6, 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, 6,
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, 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 = x, z < 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-3647693/2097152, -3647693/
2097152], [-3647693/2097152, -3647693/2097152], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-3647693/2097152, -3647693/
2097152], [-3647693/2097152, -3647693/2097152], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-3647693/2097152, -3647693/
2097152], [-3647693/2097152, -3647693/2097152], [1, 1]]]], [[9, 4, 6, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 3, 6, 1], [And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 0
), y = x+1, 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, 6, 2], [And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 0), y = x+1, 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, 6, 3], [
And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 0), y = x+1, 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, 6, 4], [And(1 < v,
v < 2^(1/2)), u = v, And(-1 < x,x < 0), y = x+1, 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, 6, 5], [And(1 < v,v < 2^(1/2)), u =
v, And(-1 < x,x < 0), y = x+1, 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, 8, 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],
[2587387/1048576, 646847/262144], [-3, -3]]]], [[9, 13, 10, 8, 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], [2587387/1048576, 646847/262144], [-1270261
/1048576, -317565/262144]]]], [[9, 13, 10, 8, 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], [2587387/1048576, 646847/262144], [
0, 0]]]], [[9, 13, 10, 8, 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], [
2587387/1048576, 646847/262144], [317565/262144, 1270261/1048576]]]], [[9, 13,
10, 8, 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], [2587387/1048576, 646847
/262144], [3, 3]]]], [[10, 2, 4, 9, 1], [v = 2^(1/2), u = -2, x = -1, 2 < y, z
< -(y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2],
[-1, -1], [3, 3], [-3, -3]]]], [[10, 2, 4, 9, 2], [v = 2^(1/2), u = -2, x = -1
, 2 < y, z = -(y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-2, -2], [-1, -1], [3, 3], [-2, -2]]]], [[10, 2, 4, 9, 3], [v = 2^(1/2), u =
-2, x = -1, 2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-2, -2], [-1, -1], [3, 3], [0, 0]]]], [[10,
2, 4, 9, 4], [v = 2^(1/2), u = -2, x = -1, 2 < y, z = (y+1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1, -1], [3, 3],
[2, 2]]]], [[10, 2, 4, 9, 5], [v = 2^(1/2), u = -2, x = -1, 2 < y, (y+1)^(1/2)
< z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1, -1], [
3, 3], [3, 3]]]], [[10, 3, 9, 3, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), 
And(u^2-3 < x,x < 1), And(0 < y,y < x-u^2+3), z = z], [regular_chain, [[741455
/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [388511/
524288, 388511/524288], [135777/1048576, 135777/1048576], [0, 0]]]], [[10, 8,
5, 7, 1], [v = 2^(1/2), u = -1, And(-1 < x,x < 0), x+2 < y, z < -(y-x)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1/2, -1/2], [3,
3], [-3, -3]]]], [[10, 8, 5, 7, 2], [v = 2^(1/2), u = -1, And(-1 < x,x < 0), x
+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1, -1], [-1/2, -1/2], [3, 3], [-7846825/4194304, -980853/524288]]]], [[10, 8
, 5, 7, 3], [v = 2^(1/2), u = -1, And(-1 < x,x < 0), x+2 < y, And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1,
-1], [-1/2, -1/2], [3, 3], [0, 0]]]], [[10, 8, 5, 7, 4], [v = 2^(1/2), u = -1,
And(-1 < x,x < 0), x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-1, -1], [-1/2, -1/2], [3, 3], [980853/524288, 1961707/
1048576]]]], [[10, 8, 5, 7, 5], [v = 2^(1/2), u = -1, And(-1 < x,x < 0), x+2 <
y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -\
1], [-1/2, -1/2], [3, 3], [3, 3]]]], [[10, 9, 10, 9, 1], [v = 2^(1/2), And(-1
< u,u < 0), x = 1, -u^2+4 < y, z < -(y-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1/2, -1/2], [1, 1], [5, 5], [-3, -3]]]], [[10, 9,
10, 9, 2], [v = 2^(1/2), And(-1 < u,u < 0), x = 1, -u^2+4 < y, z = -(y-1)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [1, 1], [
5, 5], [-2, -2]]]], [[10, 9, 10, 9, 3], [v = 2^(1/2), And(-1 < u,u < 0), x = 1
, -u^2+4 < y, 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, 9, 4], [v = 2^(1/2), And(-1 < u,u < 0), x = 1, -u^2+4 < y, z = (y-1)^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [1, 1], [5
, 5], [2, 2]]]], [[10, 9, 10, 9, 5], [v = 2^(1/2), And(-1 < u,u < 0), x = 1, -
u^2+4 < y, (y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576]
, [-1/2, -1/2], [1, 1], [5, 5], [3, 3]]]], [[10, 15, 10, 8, 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],
[2594957/1048576, 1297479/524288], [-3, -3]]]], [[10, 15, 10, 8, 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], [2594957/1048576, 1297479/524288], [-1273381/1048576, -\
318345/262144]]]], [[10, 15, 10, 8, 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], [
2594957/1048576, 1297479/524288], [0, 0]]]], [[10, 15, 10, 8, 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],
[2594957/1048576, 1297479/524288], [318345/262144, 1273381/1048576]]]], [[10,
15, 10, 8, 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], [2594957/1048576, 1297479/524288], [3, 3]]]], [[10
, 17, 5, 7, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), And(0
< y,y < u^2+x-1), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [2078331/2097152,
2078331/2097152], [-3, -3]]]], [[10, 17, 5, 7, 2], [v = 2^(1/2), And(3^(1/2) <
u,u < 2), And(-1 < x,x < 0), And(0 < y,y < u^2+x-1), z = -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-1/2, -1/2], [2078331/2097152, 2078331/2097152], [-1280391/1048576,
-640195/524288]]]], [[10, 17, 5, 7, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2),
And(-1 < x,x < 0), And(0 < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [-1/2, -1/2], [2078331/2097152, 2078331/2097152], [0, 0]]]],
[[10, 17, 5, 7, 4], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), 
And(0 < y,y < u^2+x-1), z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [2078331/
2097152, 2078331/2097152], [640195/524288, 1280391/1048576]]]], [[10, 17, 5, 7
, 5], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), And(0 < y,y < u
^2+x-1), (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[3913339/2097152, 3913339/2097152], [-1/2, -1/2], [2078331/2097152, 2078331/
2097152], [3, 3]]]], [[10, 18, 8, 7, 1], [v = 2^(1/2), u = 2, x = 1, 4 < y, z
< -(y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [1
, 1], [5, 5], [-3, -3]]]], [[10, 18, 8, 7, 2], [v = 2^(1/2), u = 2, x = 1, 4 <
y, z = -(y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2
], [1, 1], [5, 5], [-2, -2]]]], [[10, 18, 8, 7, 3], [v = 2^(1/2), u = 2, x = 1
, 4 < y, 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, 7, 4
], [v = 2^(1/2), u = 2, x = 1, 4 < y, z = (y-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [2, 2], [1, 1], [5, 5], [2, 2]]]], [[10, 18,
8, 7, 5], [v = 2^(1/2), u = 2, x = 1, 4 < y, (y-1)^(1/2) < z], [regular_chain,
[[741455/524288, 1482911/1048576], [2, 2], [1, 1], [5, 5], [3, 3]]]], [[11, 1,
1, 8, 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, 8, 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, 8, 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, 8
, 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, 8, 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, 1, 9, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-\
1)^(1/2)), x < u^2-v^2-1, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [
-6111549/2097152, -6111549/2097152], [-3, -3], [1, 1], [-3, -3]]]], [[11, 7, 1
, 9, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, 0 < y, z
= -(y-x)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152]
, [-3, -3], [1, 1], [-2, -2]]]], [[11, 7, 1, 9, 3], [2^(1/2) < v, And(-v < u,u
< -(v^2-1)^(1/2)), x < u^2-v^2-1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3, -3], [1
, 1], [0, 0]]]], [[11, 7, 1, 9, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2
)), x < u^2-v^2-1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-6111549
/2097152, -6111549/2097152], [-3, -3], [1, 1], [2, 2]]]], [[11, 7, 1, 9, 5], [
2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, 0 < y, (y-x)^(1/2)
< z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3, -3],
[1, 1], [3, 3]]]], [[11, 8, 4, 7, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -1
, 1 < y, z < -(y+1)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [-1, -1], [2, 2], [-3, -3]]]], [[11, 8, 4, 7, 2], [2^(1/2)
< v, u = -(v^2-1)^(1/2), x = -1, 1 < y, z = -(y+1)^(1/2)], [regular_chain, [[3
, 3], [-2965821/1048576, -11863283/4194304], [-1, -1], [2, 2], [-1816187/
1048576, -3632373/2097152]]]], [[11, 8, 4, 7, 3], [2^(1/2) < v, u = -(v^2-1)^(
1/2), x = -1, 1 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [
[3, 3], [-2965821/1048576, -11863283/4194304], [-1, -1], [2, 2], [-1/4194304,
-1/4194304]]]], [[11, 8, 4, 7, 4], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -1, 1
< y, z = (y+1)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [-1, -1], [2, 2], [908093/524288, 1816187/1048576]]]], [[11, 8, 4, 7
, 5], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -1, 1 < y, (y+1)^(1/2) < z], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1, -1], [2, 2
], [3, 3]]]], [[11, 12, 7, 1, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), And(0 < x,x
< 1), y < x-1, z = z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096],
[1/2, 1/2], [-2, -2], [0, 0]]]], [[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 = 0, z = z], [regular_chain, [[3, 3],
[1435023/524288, 1435023/524288], [2, 2], [0, 0], [0, 0]]]], [[11, 20, 2, 1, 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], [-5, -5], [0, 0]]]], [[11,
21, 6, 2, 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, 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(0 < y,y < 1), z =
z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1, 1], [1/2,
1/2], [0, 0]]]], [[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(x < y,y < x-u^2+v^2+1), z < -(y
-x)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [9/2, 9/2], [19/2, 19/2], [-4,
-4]]]], [[1, 11, 9, 7, 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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)
], [regular_chain, [[-3, -3], [0, 0], [9/2, 9/2], [19/2, 19/2], [-146543/65536
, -2344687/1048576]]]], [[1, 11, 9, 7, 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(x < y,y < x-u^2+v^2+1), 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [0, 0], [9/
2, 9/2], [19/2, 19/2], [0, 0]]]], [[1, 11, 9, 7, 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(x < y,y < x-u^
2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [9/2, 9/2], [19
/2, 19/2], [2344687/1048576, 146543/65536]]]], [[1, 11, 9, 7, 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(x
< y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [0, 0], [9/
2, 9/2], [19/2, 19/2], [4, 4]]]], [[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(x < y,y < 0), z
< -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2
) < z,z < (y-x)^(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(x < y,y < 0), z = (y
-x)^(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(x < y,y < 0), (y-x)^(
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-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [1/2, 1/2], [131935/131072, 1055481/1048576], [
-2, -2]]]], [[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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [
[-3, -3], [403851/131072, 403851/131072], [1/2, 1/2], [131935/131072, 1055481/
1048576], [-373161/524288, -1492643/2097152]]]], [[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-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], [1/2, 1/2], [131935/131072, 1055481/1048576], [
-1/4194304, -1/4194304]]]], [[1, 17, 9, 6, 4], [v < -2^(1/2), And(-v < u,u < (
v^2+1)^(1/2)), And(0 < x,x < 1), y = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1/2, 1/2], [131935/
131072, 1055481/1048576], [746321/1048576, 373161/524288]]]], [[1, 17, 9, 6, 5
], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = x-u^2+v
^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [1/2, 1/2], [131935/131072, 1055481/1048576], [2, 2]]]], [[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 < -(y+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [-1, -1], [3, 3], [-3, -3]]]], [[1, 19, 4, 9, 2], [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 = -(y+1)
^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1, -\
1], [3, 3], [-2, -2]]]], [[1, 19, 4, 9, 3], [v < -2^(1/2), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), x = -1, u^2-v^2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2
))], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1, -1],
[3, 3], [0, 0]]]], [[1, 19, 4, 9, 4], [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 = (y+1)^(1/2)], [regular_chain, [[-3, -\
3], [3396811/1048576, 3396811/1048576], [-1, -1], [3, 3], [2, 2]]]], [[1, 19,
4, 9, 5], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, u^2
-v^2 < y, (y+1)^(1/2) < z], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [-1, -1], [3, 3], [3, 3]]]], [[2, 3, 8, 1, 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], [-1, -1], [0, 0]]]], [[2, 5, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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+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, 6, 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, 6, 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, 6,
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, 6, 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, 1, 1, 1], [v = -2^(1/2), u = -v, x < -1, y < x, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [-2, -2], [-3, -3], [0, 0]]]], [[2, 15, 9, 4, 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, 4, 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, 4, 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]]]], [[2, 19,
11, 7, 1], [v = -2^(1/2), 2 < u, u^2-3 < x, And(x < y,y < u^2+x-1), z < -(y-x)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7, 7],
[11, 11], [-3, -3]]]], [[2, 19, 11, 7, 2], [v = -2^(1/2), 2 < u, u^2-3 < x, 
And(x < y,y < u^2+x-1), z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [3, 3], [7, 7], [11, 11], [-2, -2]]]], [[2, 19, 11, 7, 3], [v
= -2^(1/2), 2 < u, u^2-3 < x, And(x < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7
, 7], [11, 11], [0, 0]]]], [[2, 19, 11, 7, 4], [v = -2^(1/2), 2 < u, u^2-3 < x
, And(x < y,y < u^2+x-1), z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [3, 3], [7, 7], [11, 11], [2, 2]]]], [[2, 19, 11, 7, 5], [v
= -2^(1/2), 2 < u, u^2-3 < x, And(x < y,y < u^2+x-1), (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7, 7], [11, 11],
[3, 3]]]], [[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-1 < y,y < x), z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-2, -2], [-\
5/2, -5/2], [0, 0]]]], [[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(u^2-v^2+x
+1 < y,y < x), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[0, 0], [1527887/2097152, 1527887/2097152], [1/2, 1/2], [0, 0]]]], [[3, 17, 4,
6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 2, 1], [v = -1, u <
-3^(1/2), And(0 < x,x < 1), y = x-u^2+2, z = z], [regular_chain, [[-1, -1], [-\
3, -3], [1/2, 1/2], [-13/2, -13/2], [0, 0]]]], [[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, 0 < y,
z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [1, 1], [-\
3, -3]]]], [[4, 9, 1, 9, 2], [v = -1, And(0 < u,u < 1), x < u^2-2, 0 < y, z =
-(y-x)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [1, 1], [-2, -\
2]]]], [[4, 9, 1, 9, 3], [v = -1, And(0 < u,u < 1), x < u^2-2, 0 < y, And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3
], [1, 1], [0, 0]]]], [[4, 9, 1, 9, 4], [v = -1, And(0 < u,u < 1), x < u^2-2,
0 < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [1,
1], [2, 2]]]], [[4, 9, 1, 9, 5], [v = -1, And(0 < u,u < 1), x < u^2-2, 0 < y,
(y-x)^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [1, 1], [3,
3]]]], [[4, 13, 8, 3, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, 
And(0 < y,y < u^2-2), z = z], [regular_chain, [[-1, -1], [3299097/2097152, 
3299097/2097152], [497805/1048576, 248903/524288], [497805/2097152, 497805/
2097152], [0, 0]]]], [[4, 15, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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 < 2*u^2-2*v^2), z < -(y-u^2+v^2+1)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-\
624419/1048576, -1248837/2097152], [424157/1048576, 424157/1048576], [-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 < 2*u^2-2*v^2), z = -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-624419/
1048576, -1248837/2097152], [424157/1048576, 424157/1048576], [-549755706347/
549755813888, -4398045650775/4398046511104]]]], [[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 < 2*u^2-2*v^
2), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[
-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-624419/1048576, -1248837/
2097152], [424157/1048576, 424157/1048576], [-3333975/8796093022208, -3333975/
8796093022208]]]], [[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 < 2*u^2-2*v^2), z = (y-u^2+v^2+1)^(1/2)],
[regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-624419/
1048576, -1248837/2097152], [424157/1048576, 424157/1048576], [1048575/1048576
, 1]]]], [[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 < 2*u^2-2*v^2), (y-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-624419/
1048576, -1248837/2097152], [424157/1048576, 424157/1048576], [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-u^2+v^2+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, 8, 2], [And(-1 < v,v < 0
), And(v < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = x-u^2+v^2+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, 8, 3], [And(-1 < v,v < 0), 
And(v < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = x-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],
[-9/8, -9/8], [1/8, 1/8], [0, 0]]]], [[5, 7, 3, 8, 4], [And(-1 < v,v < 0), And
(v < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = x-u^2+v^2+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, 8, 5], [And(-1 < v,v < 0), And(
v < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = x-u^2+v^2+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, 1, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x < -
u^2+v^2-1, y < x, z = z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-3, -3], [-4, -4], [0, 0]]]], [[5, 10, 4, 3, 1], [And(-1 <
v,v < 0), u = (v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), z < -(y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1, -1], [-1/
2, -1/2], [-2, -2]]]], [[5, 10, 4, 3, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2
), x = -1, And(-1 < y,y < 0), z = -(y+1)^(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, 3, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2),
x = -1, And(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(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, 3, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x =
-1, And(-1 < y,y < 0), (y+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [
1172343/1048576, 146543/131072], [-1, -1], [-1/2, -1/2], [2, 2]]]], [[6, 2, 8,
3, 1], [v = 0, u = -2^(1/2), x = 1, And(0 < y,y < 1), z = z], [regular_chain,
[[0, 0], [-1482911/1048576, -741455/524288], [1, 1], [1/2, 1/2], [0, 0]]]], [[
6, 4, 2, 1, 1], [v = 0, u = -1, x = -2, y < -2, z = z], [regular_chain, [[0, 0
], [-1, -1], [-2, -2], [-3, -3], [0, 0]]]], [[6, 9, 1, 2, 1], [v = 0, And(1 <
u,u < 2^(1/2)), x < -u^2-1, y = x-u^2+1, z = z], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [-4, -4], [-4673615/1048576, -2336807/
524288], [0, 0]]]], [[6, 10, 3, 7, 1], [v = 0, u = 2^(1/2), And(-3 < x,x < -1)
, And(0 < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [741455/
524288, 1482911/1048576], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[6, 10, 3, 7, 2]
, [v = 0, u = 2^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), z = -(y-x)^(1/2
)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-2, -2], [1/2,
1/2], [-3315889/2097152, -207243/131072]]]], [[6, 10, 3, 7, 3], [v = 0, u = 2^
(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^
(1/2))], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-2, -2],
[1/2, 1/2], [0, 0]]]], [[6, 10, 3, 7, 4], [v = 0, u = 2^(1/2), And(-3 < x,x <
-1), And(0 < y,y < x+3), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [741455/
524288, 1482911/1048576], [-2, -2], [1/2, 1/2], [207243/131072, 1657945/
1048576]]]], [[6, 10, 3, 7, 5], [v = 0, u = 2^(1/2), And(-3 < x,x < -1), And(0
< y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[0, 0], [741455/524288, 
1482911/1048576], [-2, -2], [1/2, 1/2], [3, 3]]]], [[7, 4, 8, 2, 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, 2, 2
, 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, 2, 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, 2, 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, 10, 1, 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], [-1, -1], [0, 0]]]], [[8, 2, 1, 2, 1], [v = 1, u = -3^(1/2), x < -3
, y = x-1, z = z], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/
2097152], [-4, -4], [-5, -5], [0, 0]]]], [[8, 8, 1, 3, 1], [v = 1, u = 0, x <
-2, And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-\
3, -3], [-2, -2], [-2, -2]]]], [[8, 8, 1, 3, 2], [v = 1, u = 0, x < -2, And(x
< y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-3, -3], [-\
2, -2], [-1, -1]]]], [[8, 8, 1, 3, 3], [v = 1, u = 0, x < -2, And(x < y,y < x+
2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [0, 0], [
-3, -3], [-2, -2], [0, 0]]]], [[8, 8, 1, 3, 4], [v = 1, u = 0, x < -2, And(x <
y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-3, -3], [-2,
-2], [1, 1]]]], [[8, 8, 1, 3, 5], [v = 1, u = 0, x < -2, And(x < y,y < x+2), (
y-x)^(1/2) < z], [regular_chain, [[1, 1], [0, 0], [-3, -3], [-2, -2], [2, 2]]]
], [[8, 9, 7, 4, 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, 4, 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, 4, 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
, 4, 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, 4, 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, 7, 1], [v = 1, u = 3^(1/2), x = -3, 0 < y, z <
-(y+3)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-3,
-3], [1, 1], [-3, -3]]]], [[8, 14, 2, 7, 2], [v = 1, u = 3^(1/2), x = -3, 0 <
y, z = -(y+3)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576
], [-3, -3], [1, 1], [-2, -2]]]], [[8, 14, 2, 7, 3], [v = 1, u = 3^(1/2), x =
-3, 0 < y, And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))], [regular_chain, [[1, 1], [
908093/524288, 1816187/1048576], [-3, -3], [1, 1], [0, 0]]]], [[8, 14, 2, 7, 4
], [v = 1, u = 3^(1/2), x = -3, 0 < y, z = (y+3)^(1/2)], [regular_chain, [[1,
1], [908093/524288, 1816187/1048576], [-3, -3], [1, 1], [2, 2]]]], [[8, 14, 2,
7, 5], [v = 1, u = 3^(1/2), x = -3, 0 < y, (y+3)^(1/2) < z], [regular_chain, [
[1, 1], [908093/524288, 1816187/1048576], [-3, -3], [1, 1], [3, 3]]]], [[8, 15
, 7, 1, 1], [v = 1, 3^(1/2) < u, And(0 < x,x < 1), y < x-u^2+2, z = z], [
regular_chain, [[1, 1], [3, 3], [1/2, 1/2], [-8, -8], [0, 0]]]], [[9, 6, 1, 4,
1], [And(1 < v,v < 2^(1/2)), u = -v, x < -1, y = x+1, 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 = x+1, 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 = x+1, 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 = x+1, 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 = x+1, 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(0 < y,y < x), 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, 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 < -(y+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [3, 3], [-3, -3]]]], [[9,
9, 4, 9, 2], [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 = -(y+1)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [0, 0], [-1, -1], [3, 3], [-2, -2]]]], [[9, 9, 4, 9, 3], [
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, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-1, -1], [3, 3], [0, 0]]]], [[9, 9, 4, 9,
4], [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 = (y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [-1, -1], [3, 3], [2, 2]]]], [[9, 9, 4, 9, 5], [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, (
y+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0],
[-1, -1], [3, 3], [3, 3]]]], [[9, 10, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 16, 9, 2, 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, 2, 1, 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], [
-15, -15], [0, 0]]]], [[10, 5, 5, 1, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v
), And(-1 < x,x < u^2-3), y < x, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-799673/1048576, -\
799673/1048576], [-2, -2], [0, 0]]]], [[10, 7, 1, 7, 1], [v = 2^(1/2), And(-v
< u,u < -1), x < u^2-3, And(x-u^2+3 < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-3, -3], [-763943/1048576, -763943/1048576], [-3, -3]]]], [[10, 7,
1, 7, 2], [v = 2^(1/2), And(-v < u,u < -1), x < u^2-3, And(x-u^2+3 < y,y < 0),
z = -(y-x)^(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, 7, 3], [v = 2^(
1/2), And(-v < u,u < -1), x < u^2-3, And(x-u^2+3 < y,y < 0), And(-(y-x)^(1/2)
< z,z < (y-x)^(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, 7, 4], [v = 2^(1/2), And(-v
< u,u < -1), x < u^2-3, And(x-u^2+3 < y,y < 0), z = (y-x)^(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, 7, 5], [v = 2^(1/2), And(-v < u,u < -1), x <
u^2-3, And(x-u^2+3 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-3, -3], [-\
763943/1048576, -763943/1048576], [3, 3]]]], [[10, 12, 9, 1, 1], [v = 2^(1/2),
u = 1, 1 < x, y < 0, z = z], [regular_chain, [[741455/524288, 1482911/1048576]
, [1, 1], [2, 2], [-1, -1], [0, 0]]]], [[10, 14, 2, 4, 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, 4
, 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, 4, 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, 4, 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, 4, 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, 4, 9, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -1,
2 < y, z < -(y+1)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [-1, -1], [3, 3], [-3, -3]]]], [[11, 2, 4, 9, 2], [2^(1/2) < v, u =
-(v^2+2)^(1/2), x = -1, 2 < y, z = -(y+1)^(1/2)], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [-1, -1], [3, 3], [-2, -2]]]], [[11, 2, 4,
9, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -1, 2 < y, And(-(y+1)^(1/2) < z,z
< (y+1)^(1/2))], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576],
[-1, -1], [3, 3], [0, 0]]]], [[11, 2, 4, 9, 4], [2^(1/2) < v, u = -(v^2+2)^(1/
2), x = -1, 2 < y, z = (y+1)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288
, -3477733/1048576], [-1, -1], [3, 3], [2, 2]]]], [[11, 2, 4, 9, 5], [2^(1/2)
< v, u = -(v^2+2)^(1/2), x = -1, 2 < y, (y+1)^(1/2) < z], [regular_chain, [[3,
3], [-1738867/524288, -3477733/1048576], [-1, -1], [3, 3], [3, 3]]]], [[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(0 < y,y < x-u^2+v^2+1), z = z], [regular_chain, [[3, 3], [
-3396811/1048576, -3396811/1048576], [1566621/2097152, 1566621/2097152], [
132633/1048576, 132633/1048576], [0, 0]]]], [[11, 9, 10, 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+2 < y, z < -(y-1)^
(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [1, 1
], [5, 5], [-3, -3]]]], [[11, 9, 10, 9, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) <
u,u < -(v^2-2)^(1/2)), x = 1, -u^2+v^2+2 < y, z = -(y-1)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [1, 1], [5, 5]
, [-2, -2]]]], [[11, 9, 10, 9, 3], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(
v^2-2)^(1/2)), x = 1, -u^2+v^2+2 < y, 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, 9, 4], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v
^2-2)^(1/2)), x = 1, -u^2+v^2+2 < y, z = (y-1)^(1/2)], [regular_chain, [[3, 3]
, [-22960369/8388608, -22960369/8388608], [1, 1], [5, 5], [2, 2]]]], [[11, 9,
10, 9, 5], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1, -u
^2+v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [1, 1], [5, 5], [3, 3]]]], [[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 = z], [
regular_chain, [[3, 3], [0, 0], [-1, -1], [-10, -10], [0, 0]]]], [[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(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152
, 6111549/2097152], [-516571/2097152, -516571/2097152], [-258285/2097152, -\
258285/2097152], [-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(x < y,y < 0), z = -(y-x)^(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, 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(x < y,y < 0), And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-\
516571/2097152, -516571/2097152], [-258285/2097152, -258285/2097152], [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(x < y,y < 0), z = (y-x)^(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, 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(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [-258285/
2097152, -258285/2097152], [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), u^2-v^2+x+1 < y, z < -(y-x
)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-2614535/
2097152, -2614535/2097152], [2, 2], [-3, -3]]]], [[11, 17, 3, 9, 2], [2^(1/2)
< v, And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y
, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072],
[-2614535/2097152, -2614535/2097152], [2, 2], [-3778779/2097152, -7557557/
4194304]]]], [[11, 17, 3, 9, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 
And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1
/2))], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-2614535/
2097152, -2614535/2097152], [2, 2], [-1/8388608, -1/8388608]]]], [[11, 17, 3,
9, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [-2614535/2097152, -2614535/2097152], [2, 2], [1889389/1048576
, 944695/524288]]]], [[11, 17, 3, 9, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(
1/2)), And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-2614535/2097152, -\
2614535/2097152], [2, 2], [3, 3]]]], [[1, 1, 7, 6, 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, 6, 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, 6, 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, 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 = x-u^2+v^2+1, z
= z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-4, -4
], [-4712349/1048576, -1178087/262144], [0, 0]]]], [[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 = 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,
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 = 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, 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 = 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, 6, 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, 6, 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, 5, 2, 1], [v
< -2^(1/2), u = -(v^2-2)^(1/2), And(-1 < x,x < 0), y = x-1, z = z], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2],
[-3/2, -3/2], [0, 0]]]], [[1, 14, 7, 3, 1], [v < -2^(1/2), u = (v^2-1)^(1/2),
And(0 < x,x < 1), And(0 < y,y < x), z = z], [regular_chain, [[-3, -3], [741455
/262144, 2965821/1048576], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[1, 16, 1, 3, 1
], [v < -2^(1/2), u = -v, x < -1, And(x < y,y < x+1), z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [3, 3], [-2, -2], [-3/2, -3/2], [-2, -2]]]], [[1, 16
, 1, 3, 2], [v < -2^(1/2), u = -v, x < -1, And(x < y,y < x+1), z = -(y-x)^(1/2
)], [regular_chain, [[-3, -3], [3, 3], [-2, -2], [-3/2, -3/2], [-1482911/
2097152, -741455/1048576]]]], [[1, 16, 1, 3, 3], [v < -2^(1/2), u = -v, x < -1
, And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[-3, -3], [3, 3], [-2, -2], [-3/2, -3/2], [0, 0]]]], [[1, 16, 1, 3, 4], [v <
-2^(1/2), u = -v, x < -1, And(x < y,y < x+1), z = (y-x)^(1/2)], [regular_chain
, [[-3, -3], [3, 3], [-2, -2], [-3/2, -3/2], [741455/1048576, 46341/65536]]]],
[[1, 16, 1, 3, 5], [v < -2^(1/2), u = -v, x < -1, And(x < y,y < x+1), (y-x)^(1
/2) < z], [regular_chain, [[-3, -3], [3, 3], [-2, -2], [-3/2, -3/2], [2, 2]]]]
, [[1, 21, 11, 9, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, u^2-v^2
+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [16, 16], [34,
34], [-6, -6]]]], [[1, 21, 11, 9, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, u^2-v^
2-1 < x, u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [5, 5]
, [16, 16], [34, 34], [-1112183/262144, -4448731/1048576]]]], [[1, 21, 11, 9,
3], [v < -2^(1/2), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, u^2-v^2+x+1 < y, And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [5, 5], [16, 16], [
34, 34], [0, 0]]]], [[1, 21, 11, 9, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, u^2-
v^2-1 < x, u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [5, 5
], [16, 16], [34, 34], [4448731/1048576, 1112183/262144]]]], [[1, 21, 11, 9, 5
], [v < -2^(1/2), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, u^2-v^2+x+1 < y, (y-x)^(1/
2) < z], [regular_chain, [[-3, -3], [5, 5], [16, 16], [34, 34], [6, 6]]]], [[2
, 2, 3, 5, 1], [v = -2^(1/2), u = -2, And(-3 < x,x < -1), And(x < y,y < 0), z
< -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0),
And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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(x < y,y < x-u^2+3),
z < -(y-x)^(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, 7, 2], [v = -2^(1/2), 
And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), And(x < y,y < x-u^2+3), z = -(y-x)^(
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, 7, 3], [
v = -2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), And(x < y,y < x-u^2+3)
, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7
, 4], [v = -2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), And(x < y,y < x
-u^2+3), z = (y-x)^(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, 7, 5], [v = -2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), And(
x < y,y < x-u^2+3), (y-x)^(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, 3, 3
, 1], [v = -2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), And(u^2+x-1 < y,
y < x), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2
], [-15/8, -15/8], [-9/4, -9/4], [0, 0]]]], [[2, 17, 4, 7, 1], [v = -2^(1/2),
And(3^(1/2) < u,u < 2), x = -1, And(0 < y,y < u^2-2), z < -(y+1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-1, -1], [1554043/2097152, 1554043/2097152], [-3, -3]]]], [[2, 17,
4, 7, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -1, And(0 < y,y < u^2-2),
z = -(y+1)^(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, 7, 3], [v = -2^(1/2), 
And(3^(1/2) < u,u < 2), x = -1, And(0 < y,y < u^2-2), And(-(y+1)^(1/2) < z,z <
(y+1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [-1, -1], [1554043/2097152, 1554043/2097152], [0, 0
]]]], [[2, 17, 4, 7, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -1, And(0
< y,y < u^2-2), z = (y+1)^(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, 7, 5], [v =
-2^(1/2), And(3^(1/2) < u,u < 2), x = -1, And(0 < y,y < u^2-2), (y+1)^(1/2) <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 
3913339/2097152], [-1, -1], [1554043/2097152, 1554043/2097152], [3, 3]]]], [[2
, 18, 7, 3, 1], [v = -2^(1/2), u = 2, And(0 < x,x < 1), And(x-1 < 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, 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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-14373233/8388608, -14373233/8388608], [501965/2097152, 501965/2097152], [
712525/262144, 2850101/1048576], [-3, -3]]]], [[3, 3, 7, 8, 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], [712525/262144, 2850101/1048576], [-3301741/2097152,
-825435/524288]]]], [[3, 3, 7, 8, 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], [712525/262144, 2850101/1048576], [0, 0]]]], [[3, 3,
7, 8, 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], [712525/262144, 2850101/
1048576], [825435/524288, 1650871/1048576]]]], [[3, 3, 7, 8, 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], [712525/262144, 2850101/1048576], [3, 3]]]], [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
646847/524288, -646847/524288], [-735355/1048576, -1470709/2097152], [-2, -2]]
]], [[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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-646847/524288, -646847/524288], [-735355/1048576, -1470709
/2097152], [-1530309/2097152, -382577/524288]]]], [[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
= x-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], [-646847/524288, -646847/524288], [-735355/1048576, -1470709
/2097152], [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 = x-u^2+v^2+1, z = (-u^2+v^2
+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-646847/524288, -646847/524288], [-735355/1048576
, -1470709/2097152], [382577/524288, 765155/1048576]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-646847/
524288, -646847/524288], [-735355/1048576, -1470709/2097152], [2, 2]]]], [[3,
11, 4, 8, 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], [-3, -3]]]], [[3, 11, 4, 8, 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], [-1314069/1048576, -\
328517/262144]]]], [[3, 11, 4, 8, 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, 8, 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], [328517/262144, 1314069/1048576]]]], [[3, 11,
4, 8, 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], [3, 3]]]], [[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, 0 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3, -3], [1, 1], [-3, -3]]]], [[3, 13, 1, 9, 2], [And(-2^(1
/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, 0 < y, z = -(y
-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-3, -3], [1, 1], [-2, -2]]]], [[3, 13, 1, 9, 3], [
And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, 0 < y
, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [1, 1], [0, 0
]]]], [[3, 13, 1, 9, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/
2)), x < -u^2+v^2-1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [1,
1], [2, 2]]]], [[3, 13, 1, 9, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v
^2+1)^(1/2)), x < -u^2+v^2-1, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -\
3], [1, 1], [3, 3]]]], [[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 < 0, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [2, 2], [-\
1, -1], [0, 0]]]], [[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(x < y,y < x-
u^2+2), z < -(y-x)^(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(x <
y,y < x-u^2+2), z = -(y-x)^(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(x < y,y < x-u^2+2), And(-(y-x)^(1/2) < z,z <
(y-x)^(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(x <
y,y < x-u^2+2), z = (y-x)^(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(x < y,y < x-u^2+2), (y-x)^(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), x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [1/2, 1/2],
[3, 3], [-3, -3]]]], [[4, 10, 5, 7, 2], [v = -1, u = 1, And(0 < x,x < 1), x+1
< y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [1/2, 1/2], [3, 3],
[-3315889/2097152, -207243/131072]]]], [[4, 10, 5, 7, 3], [v = -1, u = 1, And(
0 < x,x < 1), x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[-1, -1], [1, 1], [1/2, 1/2], [3, 3], [0, 0]]]], [[4, 10, 5, 7, 4], [v = -1,
u = 1, And(0 < x,x < 1), x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1],
[1, 1], [1/2, 1/2], [3, 3], [207243/131072, 1657945/1048576]]]], [[4, 10, 5, 7
, 5], [v = -1, u = 1, And(0 < x,x < 1), x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [1, 1], [1/2, 1/2], [3, 3], [3, 3]]]], [[4, 12, 1, 7
, 1], [v = -1, u = 2^(1/2), x < -2, 0 < y, z < -(y-x)^(1/2)], [regular_chain,
[[-1, -1], [741455/524288, 1482911/1048576], [-3, -3], [1, 1], [-3, -3]]]], [[
4, 12, 1, 7, 2], [v = -1, u = 2^(1/2), x < -2, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3, -3], [1, 1],
[-2, -2]]]], [[4, 12, 1, 7, 3], [v = -1, u = 2^(1/2), x < -2, 0 < y, And(-(y-x
)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [741455/524288, 
1482911/1048576], [-3, -3], [1, 1], [0, 0]]]], [[4, 12, 1, 7, 4], [v = -1, u =
2^(1/2), x < -2, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [741455/
524288, 1482911/1048576], [-3, -3], [1, 1], [2, 2]]]], [[4, 12, 1, 7, 5], [v =
-1, u = 2^(1/2), x < -2, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [
741455/524288, 1482911/1048576], [-3, -3], [1, 1], [3, 3]]]], [[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 = 0, z = z],
[regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [2, 2], [0, 0
], [0, 0]]]], [[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 = 0, z = z], [regular_chain, [[-1/2, -1/2], [343151
/262144, 343151/262144], [1, 1], [0, 0], [0, 0]]]], [[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(0 < y,y < u^2-v
^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-43/8, -43
/8], [35/16, 35/16], [-4, -4]]]], [[5, 13, 3, 7, 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 < u^2-v^2+x+1), z = -(y-
x)^(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, 7, 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 < u^2-v^2+x+1), And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [3, 3], [-43/8, -43/8], [
35/16, 35/16], [0, 0]]]], [[5, 13, 3, 7, 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 < u^2-v^2+x+1), z = (y-x)^(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, 7, 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 < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain
, [[-1/2, -1/2], [3, 3], [-43/8, -43/8], [35/16, 35/16], [4, 4]]]], [[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(x-u^2+1 < y,y < 0), z < -(y-x)^(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(x-u^2+1 < y,y < 0), z = -(y-x)^(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(x-u^2+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y
-x)^(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(x-u^2+1 < y,y < 0), z = (y-x)^(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(x-u^2+1 < y,y < 0), (y-x)^(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 < 0), z = z], [regular_chain, [[0, 0
], [3, 3], [1, 1], [-7/2, -7/2], [0, 0]]]], [[7, 1, 10, 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 < -(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, 6, 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, 6, 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, 6, 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, 6, 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, 10, 3, 1], [And(0 < v,v < 1), And(-v < u,u < v), x = 1, And(0 < y,y < 1
), z = z], [regular_chain, [[1/2, 1/2], [0, 0], [1, 1], [1/2, 1/2], [0, 0]]]],
[[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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 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
= x-u^2+v^2+1, z = z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/
262144], [-1815885/1048576, -1815885/1048576], [-287741/131072, -2301927/
1048576], [0, 0]]]], [[7, 12, 5, 1, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2),
And(-1 < x,x < 0), y < x-1, z = z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [
-1/2, -1/2], [-3, -3], [0, 0]]]], [[8, 5, 1, 6, 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], [-3235683/2097152, -1617841/1048576], [-3, -3]]
]], [[8, 5, 1, 6, 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],
[-3235683/2097152, -1617841/1048576], [-1265743/1048576, -1265743/1048576]]]],
[[8, 5, 1, 6, 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], [-3235683/2097152, -1617841/1048576], [0, 0]]]], [[8, 5, 1, 6, 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], [-3235683/2097152, -\
1617841/1048576], [1265743/1048576, 1265743/1048576]]]], [[8, 5, 1, 6, 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], [-3235683/2097152, -\
1617841/1048576], [3, 3]]]], [[8, 6, 4, 4, 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, 4, 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, 4, 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, 4, 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, 4, 5], [v = 1, u = -1
, x = 0, y = 1, 1 < z], [regular_chain, [[1, 1], [-1, -1], [0, 0], [1, 1], [2,
2]]]], [[8, 11, 4, 8, 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],
[239655/524288, 479311/1048576], [-3, -3]]]], [[8, 11, 4, 8, 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], [239655/524288, 479311/1048576],
[-1265743/1048576, -1265743/1048576]]]], [[8, 11, 4, 8, 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], [239655/524288, 479311/1048576],
[0, 0]]]], [[8, 11, 4, 8, 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], [239655/524288, 479311/1048576], [1265743/1048576, 1265743/1048576]]]], [[
8, 11, 4, 8, 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], [239655/
524288, 479311/1048576], [3, 3]]]], [[8, 12, 8, 5, 1], [v = 1, u = 2^(1/2), x
= 1, And(1 < y,y < 3), z < -(y-1)^(1/2)], [regular_chain, [[1, 1], [741455/
524288, 1482911/1048576], [1, 1], [2, 2], [-2, -2]]]], [[8, 12, 8, 5, 2], [v =
1, u = 2^(1/2), x = 1, And(1 < y,y < 3), z = -(y-1)^(1/2)], [regular_chain, [[
1, 1], [741455/524288, 1482911/1048576], [1, 1], [2, 2], [-1, -1]]]], [[8, 12,
8, 5, 3], [v = 1, u = 2^(1/2), x = 1, And(1 < y,y < 3), 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, 5, 4], [v = 1, u = 2^(1/2), x = 1, And(1
< y,y < 3), z = (y-1)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911
/1048576], [1, 1], [2, 2], [1, 1]]]], [[8, 12, 8, 5, 5], [v = 1, u = 2^(1/2),
x = 1, And(1 < y,y < 3), (y-1)^(1/2) < z], [regular_chain, [[1, 1], [741455/
524288, 1482911/1048576], [1, 1], [2, 2], [2, 2]]]], [[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(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-3647693/
2097152, -3647693/2097152], [-3647693/4194304, -3647693/4194304], [-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(x < y,y < 0), z = -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-3647693/2097152, -3647693/2097152], [-3647693/4194304, -\
3647693/4194304], [-1955731/2097152, -7822923/8388608]]]], [[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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-3647693/2097152, -3647693/2097152], [-3647693/4194304, -\
3647693/4194304], [-3/16777216, -3/16777216]]]], [[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(x < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-3647693/2097152, -\
3647693/2097152], [-3647693/4194304, -3647693/4194304], [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(x < y,y < 0), (y-x
)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [-3647693/2097152, -3647693/2097152], [-3647693/
4194304, -3647693/4194304], [2, 2]]]], [[9, 4, 6, 5, 1], [And(1 < v,v < 2^(1/2
)), u = -(v^2+1)^(1/2), x = 0, 2 < y, z < -y^(1/2)], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [0, 0], [3, 3]
, [-3, -3]]]], [[9, 4, 6, 5, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2),
x = 0, 2 < y, 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, 5, 3], [And(1 < v,v < 2^(1/2)), u =
-(v^2+1)^(1/2), x = 0, 2 < y, 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, 5, 4], [And(1 < v,v < 2^(1/
2)), u = -(v^2+1)^(1/2), x = 0, 2 < y, 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, 5, 5], [And(1 < v,v < 2^(1/2
)), u = -(v^2+1)^(1/2), x = 0, 2 < y, y^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [0, 0], [3, 3],
[3, 3]]]], [[9, 12, 3, 5, 1], [And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 0
), And(0 < y,y < x+1), z < -(y-x)^(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+1), z = -(y-x)^(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, 5, 3], [And(1 < v,v <
2^(1/2)), u = v, And(-1 < x,x < 0), And(0 < y,y < x+1), And(-(y-x)^(1/2) < z,z
< (y-x)^(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, 5, 4], [And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 0), And
(0 < y,y < x+1), z = (y-x)^(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, 5, 5], [And(1 < v,v < 2^(1/2)),
u = v, And(-1 < x,x < 0), And(0 < y,y < x+1), (y-x)^(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(-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], [2, 2], [-2, -2]]]], [[9, 13, 10, 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+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], [2, 2], [-1, -1]
]]], [[9, 13, 10, 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+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], [2, 2], [0, 0]]]], [[9, 13, 10, 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+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], [2, 2], [1, 1]]]], [[9, 13, 10, 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
+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], [2, 2], [2, 2]]]
], [[10, 2, 5, 1, 1], [v = 2^(1/2), u = -2, And(-1 < x,x < 0), y < x-1, z = z]
, [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1/2, -1/2], [
-3, -3], [0, 0]]]], [[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-u^2+3, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [-3913339/2097152, -3913339/2097152], [388511/524288, 388511
/524288], [135777/524288, 271555/1048576], [0, 0]]]], [[10, 8, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 10,
9, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 1, u^2 < y, z < -(y-1)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097
/2097152], [1, 1], [4, 4], [-3, -3]]]], [[10, 15, 10, 9, 2], [v = 2^(1/2), And
(v < u,u < 3^(1/2)), x = 1, u^2 < y, 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, 9, 3], [v = 2^(1
/2), And(v < u,u < 3^(1/2)), x = 1, u^2 < y, 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, 9
, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 1, u^2 < y, 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, 9
, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 1, u^2 < y, (y-1)^(1/2) < z],
[regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [1, 1], [4, 4], [3, 3]]]], [[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-1, z < -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-1/2, -1/2], [2078331/1048576, 519583/262144], [-3, -3]]]], [[10, 
17, 5, 8, 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], [2078331/1048576, 519583/
262144], [-825991/524288, -3303963/2097152]]]], [[10, 17, 5, 8, 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], [2078331/1048576, 519583/
262144], [-1/4194304, -1/4194304]]]], [[10, 17, 5, 8, 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], [2078331/1048576, 519583/262144], [1651981/1048576, 
825991/524288]]]], [[10, 17, 5, 8, 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], [
2078331/1048576, 519583/262144], [3, 3]]]], [[10, 18, 9, 1, 1], [v = 2^(1/2),
u = 2, 1 < x, y < 0, z = z], [regular_chain, [[741455/524288, 1482911/1048576]
, [2, 2], [2, 2], [-1, -1], [0, 0]]]], [[11, 1, 1, 9, 1], [2^(1/2) < v, u < -(
v^2+2)^(1/2), x < -u^2+v^2-1, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3
], [-5, -5], [-18, -18], [1, 1], [-6, -6]]]], [[11, 1, 1, 9, 2], [2^(1/2) < v,
u < -(v^2+2)^(1/2), x < -u^2+v^2-1, 0 < y, z = -(y-x)^(1/2)], [regular_chain,
[[3, 3], [-5, -5], [-18, -18], [1, 1], [-4570637/1048576, -1142659/262144]]]],
[[11, 1, 1, 9, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), x < -u^2+v^2-1, 0 < y, 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-5, -5], [-\
18, -18], [1, 1], [0, 0]]]], [[11, 1, 1, 9, 4], [2^(1/2) < v, u < -(v^2+2)^(1/
2), x < -u^2+v^2-1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-5, -5]
, [-18, -18], [1, 1], [1142659/262144, 4570637/1048576]]]], [[11, 1, 1, 9, 5],
[2^(1/2) < v, u < -(v^2+2)^(1/2), x < -u^2+v^2-1, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-5, -5], [-18, -18], [1, 1], [6, 6]]]], [[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 = 0, z <
-(-x)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [
-3, -3], [0, 0], [-3, -3]]]], [[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 = 0, z = -(-x)^(1/2)], [regular_chain, [[3,
3], [-6111549/2097152, -6111549/2097152], [-3, -3], [0, 0], [-1816187/1048576,
-3632373/2097152]]]], [[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 = 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, 8, 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, 8, 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, 4, 6
, 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, 6, 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,
6, 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, 6, 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, 6, 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, 12, 7, 2, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), And(0 < x,
x < 1), y = x-1, z = z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096
], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[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(0 < y,y < u^2-v^2+x+1), z =
z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [2, 2], [
1564115/2097152, 1564115/2097152], [0, 0]]]], [[11, 20, 1, 9, 1], [2^(1/2) < v
, u = (v^2+2)^(1/2), x < -3, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3]
, [3477733/1048576, 1738867/524288], [-4, -4], [1, 1], [-4, -4]]]], [[11, 20,
1, 9, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), x < -3, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-4, -4], [1, 1], [
-146543/65536, -2344687/1048576]]]], [[11, 20, 1, 9, 3], [2^(1/2) < v, u = (v^
2+2)^(1/2), x < -3, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-4, -4], [1, 1], [
0, 0]]]], [[11, 20, 1, 9, 4], [2^(1/2) < v, u = (v^2+2)^(1/2), x < -3, 0 < y,
z = (y-x)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288],
[-4, -4], [1, 1], [2344687/1048576, 146543/65536]]]], [[11, 20, 1, 9, 5], [2^(
1/2) < v, u = (v^2+2)^(1/2), x < -3, 0 < y, (y-x)^(1/2) < z], [regular_chain,
[[3, 3], [3477733/1048576, 1738867/524288], [-4, -4], [1, 1], [4, 4]]]], [[11,
21, 6, 1, 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], [-16, -16], [0, 0]]]], [[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 = u^2-v^2-1
, z < 0], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-\
531193/1048576, -1062385/2097152], [-531193/1048576, -1062385/2097152], [-1, -\
1]]]], [[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 = u^2-v^2-1, z = 0], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-531193/1048576, -1062385/2097152], [-531193/1048576, -\
1062385/2097152], [0, 0]]]], [[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 = u^2-v^2-1, 0 < z], [regular_chain, [[-3, -3]
, [-403851/131072, -403851/131072], [-531193/1048576, -1062385/2097152], [-\
531193/1048576, -1062385/2097152], [1, 1]]]], [[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(x < y,y < 0), z
< -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-516571/2097152, -516571/2097152], [-258285/2097152, -258285/
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(x < y,y < 0), z = -(y-x)^(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, 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(x < y,y < 0), And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152]
, [-516571/2097152, -516571/2097152], [-258285/2097152, -258285/2097152], [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(x < y,y < 0), z = (y-x)^(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, 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(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549
/2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [-258285/
2097152, -258285/2097152], [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 = z], [
regular_chain, [[-3, -3], [0, 0], [-1, -1], [-10, -10], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-\
4, -4], [-4, -4], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-\
3, -3], [1435023/524288, 1435023/524288], [-4, -4], [-4, -4], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [-4, -4], [-4, -4], [1, 1]]]], [[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 < x-u^2+v^2+1, z = z],
[regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-4, -4], [-6,
-6], [0, 0]]]], [[1, 20, 7, 4, 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, 3, 2, 2, 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], [-49729379/16777216, -24864689/8388608], [0,
0]]]], [[2, 5, 1, 5, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, 
And(x-u^2+3 < y,y < u^2+x-1), z < -(y-x)^(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(x-u^2+3 < y,y < u^2+x-1), z = -(y-x)^(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(x-u^2+3 < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)
^(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(x-u^2+3 < y,y < u^2+x-1
), z = (y-x)^(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(x-u^2+3 < y,y <
u^2+x-1), (y-x)^(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 < 0
), z < -(y-u^2+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, 5, 2], [v = -2^(1/2)
, And(v < u,u < -1), x = u^2-3, And(2*u^2-4 < y,y < 0), z = -(y-u^2+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, 5, 3], [v = -2^(1/2), 
And(v < u,u < -1), x = u^2-3, And(2*u^2-4 < y,y < 0), And(-(y-u^2+3)^(1/2) < z
,z < (y-u^2+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, 5, 4], [v = -2^(1/2),
And(v < u,u < -1), x = u^2-3, And(2*u^2-4 < y,y < 0), z = (y-u^2+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, 5, 5], [v = -2^(1/2), And
(v < u,u < -1), x = u^2-3, And(2*u^2-4 < y,y < 0), (y-u^2+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, 8, 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, 8, 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, 8, 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
, 8, 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, 8, 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, 7, 2, 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, 3, 1], [v =
-2^(1/2), u = -v, x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [741455/524288, 1482911/1048576], [1, 1], [1/2, 1/2]
, [0, 0]]]], [[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 = 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 2, 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, 6, 7, 3, 1], [And(-2^(1/2) < v,v < -1), u = v, 1 <
x, And(0 < y,y < x), z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [1, 1], [0, 0]]]], [[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 < x-u^2+2, z = z],
[regular_chain, [[-1, -1], [-3, -3], [-5, -5], [-13, -13], [0, 0]]]], [[4, 2,
9, 4, 1], [v = -1, u = -3^(1/2), 1 < x, y = x-1, z = z], [regular_chain, [[-1,
-1], [-1816187/1048576, -3632373/2097152], [2, 2], [1, 1], [0, 0]]]], [[4, 6,
7, 7, 1], [v = -1, u = -1, 1 < x, x+1 < y, z < -(y-x)^(1/2)], [regular_chain,
[[-1, -1], [-1, -1], [2, 2], [4, 4], [-3, -3]]]], [[4, 6, 7, 7, 2], [v = -1, u
= -1, 1 < x, x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1, -1],
[2, 2], [4, 4], [-1482911/1048576, -741455/524288]]]], [[4, 6, 7, 7, 3], [v =
-1, u = -1, 1 < x, x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1, -1], [-1, -1], [2, 2], [4, 4], [0, 0]]]], [[4, 6, 7, 7, 4
], [v = -1, u = -1, 1 < x, x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1
], [-1, -1], [2, 2], [4, 4], [741455/524288, 1482911/1048576]]]], [[4, 6, 7, 7
, 5], [v = -1, u = -1, 1 < x, x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1,
-1], [-1, -1], [2, 2], [4, 4], [3, 3]]]], [[4, 8, 9, 1, 1], [v = -1, u = 0, 1
< x, y < 0, z = z], [regular_chain, [[-1, -1], [0, 0], [2, 2], [-1, -1], [0, 0
]]]], [[4, 14, 6, 5, 1], [v = -1, u = 3^(1/2), x = 0, And(0 < y,y < 3), z < -y
^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [0, 0],
[3/2, 3/2], [-3, -3]]]], [[4, 14, 6, 5, 2], [v = -1, u = 3^(1/2), x = 0, And(0
< y,y < 3), 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, 5, 3], [v = -1, u = 3^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 4], [v = -1, u = 3^(1/2), x = 0, And(0
< y,y < 3), 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,
5, 5], [v = -1, u = 3^(1/2), x = 0, And(0 < y,y < 3), y^(1/2) < z], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [0, 0], [3/2, 3/2]
, [3, 3]]]], [[5, 1, 4, 1, 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], [-10,
-10], [0, 0]]]], [[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 < x, z = z], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [-3, -3], [-4, -4], [0, 0]]]], [[5, 7, 1,
9, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x < u^2-v^2-1, 0 < y, z < -(y-x)
^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [1, 1], [-3, -3]]]],
[[5, 7, 1, 9, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x < u^2-v^2-1, 0 < y,
z = -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [1, 1], [-\
2, -2]]]], [[5, 7, 1, 9, 3], [And(-1 < v,v < 0), And(v < u,u < -v), x < u^2-v^
2-1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1
/2], [0, 0], [-3, -3], [1, 1], [0, 0]]]], [[5, 7, 1, 9, 4], [And(-1 < v,v < 0)
, And(v < u,u < -v), x < u^2-v^2-1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [
[-1/2, -1/2], [0, 0], [-3, -3], [1, 1], [2, 2]]]], [[5, 7, 1, 9, 5], [And(-1 <
v,v < 0), And(v < u,u < -v), x < u^2-v^2-1, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [1, 1], [3, 3]]]], [[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, 0 <
y, 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, 7, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2
-1, 0 < y, 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, 7, 3], [And(-1 < v,v < 0), And
(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, 0 < y, 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, 7, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2
)), x = -u^2+v^2-1, 0 < y, 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, 7, 5], [And(-1 < v,v <
0), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, 0 < y, (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, 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 < -2
*u^2+2*v^2, z = z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [-2583195/1048576, -1291597/524288], [-4, -4], [0, 0]]]], [[6, 1, 6,
1, 1], [v = 0, u < -2^(1/2), x = 0, y < -u^2+1, z = z], [regular_chain, [[0, 0
], [-3, -3], [0, 0], [-9, -9], [0, 0]]]], [[6, 3, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 1, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(-u^2-1 <
x,x < -1), y < x-u^2+1, z = z], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [-1812519/1048576, -1812519/1048576], [-4, -4], [0, 0]]]], [
[6, 10, 9, 4, 1], [v = 0, u = 2^(1/2), 1 < x, y = x-1, z = z], [regular_chain,
[[0, 0], [741455/524288, 1482911/1048576], [2, 2], [1, 1], [0, 0]]]], [[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 = -1, z < 0], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [-1, -1], [-1, -1], [-1, -1]]]], [[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 = -1, z = 0], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1, -1], [-1, -\
1], [0, 0]]]], [[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 = -1, 0 < z], [regular_chain, [[1/2, 1/2], [-343151
/262144, -343151/262144], [-1, -1], [-1, -1], [1, 1]]]], [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(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, 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(0 < y,y <
u^2-v^2+x+1), z = -(y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), z = (y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), (y-x)^(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, 8, 7, 1], [v = 1, u < -3^(1/2), x = 1, And(1 < y,y < u^2+1), z < -(y-1)^(1/
2)], [regular_chain, [[1, 1], [-3, -3], [1, 1], [11/2, 11/2], [-4, -4]]]], [[8
, 1, 8, 7, 2], [v = 1, u < -3^(1/2), x = 1, And(1 < y,y < u^2+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, 7, 3], [v = 1, u < -3^(1/2), x = 1, 
And(1 < y,y < u^2+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, 7, 4], [v = 1,
u < -3^(1/2), x = 1, And(1 < y,y < u^2+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, 7, 5], [v = 1, u < -3^(1/2), x = 1, And(1 < y,y < u^2+1), (y-1)^(1/
2) < z], [regular_chain, [[1, 1], [-3, -3], [1, 1], [11/2, 11/2], [4, 4]]]], [
[8, 3, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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(x < y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2
], [-5/8, -5/8], [-1/2, -1/2], [-2, -2]]]], [[8, 9, 5, 3, 2], [v = 1, And(0 <
u,u < 1), And(-1 < x,x < -u^2), And(x < y,y < u^2+x), z = -(y-x)^(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, 3, 3], [v = 1, And(0 < u,u < 1), And(-1 < x,
x < -u^2), And(x < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [-1/2, -1/2], [0, 0]]]], [[8
, 9, 5, 3, 4], [v = 1, And(0 < u,u < 1), And(-1 < x,x < -u^2), And(x < y,y < u
^2+x), z = (y-x)^(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, 3, 5], [v = 1, And(0
< u,u < 1), And(-1 < x,x < -u^2), And(x < y,y < u^2+x), (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [-1/2, -1/2], [2, 2]]]], [[8
, 15, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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(x-u^2+v^2+1 < y,y < 0), z = z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [7909297/
2097152, 7909297/2097152], [-11624291/8388608, -11624291/8388608], [0, 0]]]],
[[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 < 2*u^2-2*v^2), z < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1116679/2097152, -558339/1048576], [980473/2097152, 980473
/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 < 2*u^2-2*v^2), z = -(y-u^2+v^
2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-1116679/2097152, -558339/1048576], [980473/
2097152, 980473/2097152], [-4398046198147/4398046511104, -8796092396293/
8796093022208]]]], [[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 < 2*u^2-2*v^2), And(-(y-u^2+v^2+1)^
(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1116679/2097152, -\
558339/1048576], [980473/2097152, 980473/2097152], [-7762693/17592186044416, -\
7762693/17592186044416]]]], [[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 < 2*u^2-2*v^2), z = (y-u^2
+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805
/4194304, -5818805/4194304], [-1116679/2097152, -558339/1048576], [980473/
2097152, 980473/2097152], [1048575/1048576, 1]]]], [[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 < 2
*u^2-2*v^2), (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1116679/2097152, -\
558339/1048576], [980473/2097152, 980473/2097152], [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 = 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, 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 = 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, 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 = 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, 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 = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [239655
/1048576, 239655/1048576], [-2, -2], [0, 0]]]], [[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(0
< y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/
524288], [448653/1048576, 448653/1048576], [-3, -3]]]], [[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(0 < y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288,
-374737/524288], [448653/1048576, 448653/1048576], [-1120861/1048576, -280215/
262144]]]], [[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(0 < y,y < x-u^2+v^2+1), And(-(y-x)^(1/
2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576],
[987341/1048576, 987341/1048576], [-374737/524288, -374737/524288], [448653/
1048576, 448653/1048576], [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(0 < y,y < x-u
^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/524288],
[448653/1048576, 448653/1048576], [280215/262144, 1120861/1048576]]]], [[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(0 < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-\
374737/524288, -374737/524288], [448653/1048576, 448653/1048576], [3, 3]]]], [
[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 < -y^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [0, 0], [
2599117/2097152, 2599117/2097152], [-3, -3]]]], [[9, 15, 6, 5, 2], [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 = -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, 5, 3], [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),
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, 5, 4], [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 = 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, 5, 5], [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), 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, 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
= 0, z < -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3
, 3], [-10006449/2097152, -10006449/2097152], [0, 0], [-4, -4]]]], [[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 = 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, 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 = 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, 6, 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, 6, 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, 7, 2, 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], [-275385/
1048576, -34423/131072], [-1, -1]]]], [[10, 5, 7, 2, 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], [-275385/1048576, -34423/131072], [0, 0]]]
], [[10, 5, 7, 2, 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], [-\
275385/1048576, -34423/131072], [1, 1]]]], [[10, 7, 7, 6, 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], [239655/1048576, 29957/131072],
[-2, -2]]]], [[10, 7, 7, 6, 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], [239655/1048576, 29957/131072], [-1417877/2097152, -354469/
524288]]]], [[10, 7, 7, 6, 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], [239655/1048576, 29957/131072],
[0, 0]]]], [[10, 7, 7, 6, 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], [239655/1048576, 29957/131072], [354469/524288, 708939/
1048576]]]], [[10, 7, 7, 6, 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], [239655/1048576, 29957/131072], [2, 2]]]], [[10, 11, 4, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 13, 3, 7, 1], [v = 2^(1/2), And(1 < u,u < v),
And(u^2-3 < x,x < -1), And(0 < y,y < x-u^2+3), z < -(y-x)^(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, 7, 2], [v = 2^(1/2), And(1 < u,u < v), And(u^2-3 < x
,x < -1), And(0 < y,y < x-u^2+3), z = -(y-x)^(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, 7, 3], [v = 2^(1/2), And(1 < u,u < v), And(u^2
-3 < x,x < -1), And(0 < y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 4], [v = 2^(1/2), And(1 < u,u < v), And(u^2-3 < x,x
< -1), And(0 < y,y < x-u^2+3), z = (y-x)^(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, 7, 5], [v = 2^(1/2), And(1 < u,u < v), And(u
^2-3 < x,x < -1), And(0 < y,y < x-u^2+3), (y-x)^(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, 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 = x, z < 0], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [-1/2, -1/2], [-1/2, -1/2], [-1, -1]]]], [[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 = x, z =
0], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/2
], [-1/2, -1/2], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [
[3, 3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/2], [-1/2, -1/2], [1,
1]]]], [[11, 5, 4, 3, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -1
, And(-1 < y,y < -u^2+v^2), z < -(y+1)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-1, -1], [-195745/262144, -195745/262144], [-\
2, -2]]]], [[11, 5, 4, 3, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x
= -1, And(-1 < y,y < -u^2+v^2), z = -(y+1)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-1, -1], [-195745/262144, -195745/262144], [-\
527729/1048576, -1055457/2097152]]]], [[11, 5, 4, 3, 3], [2^(1/2) < v, And(-(v
^2+1)^(1/2) < u,u < -v), x = -1, And(-1 < y,y < -u^2+v^2), And(-(y+1)^(1/2) <
z,z < (y+1)^(1/2))], [regular_chain, [[3, 3], [-403851/131072, -403851/131072]
, [-1, -1], [-195745/262144, -195745/262144], [-1/4194304, -1/4194304]]]], [[
11, 5, 4, 3, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -1, And(-1
< y,y < -u^2+v^2), z = (y+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072,
-403851/131072], [-1, -1], [-195745/262144, -195745/262144], [32983/65536, 
527729/1048576]]]], [[11, 5, 4, 3, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u
< -v), x = -1, And(-1 < y,y < -u^2+v^2), (y+1)^(1/2) < z], [regular_chain, [[3
, 3], [-403851/131072, -403851/131072], [-1, -1], [-195745/262144, -195745/
262144], [2, 2]]]], [[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 < x), z = z], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2],
[-1581611/2097152, -1581611/2097152], [0, 0]]]], [[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 = 2*u^2-2*v^2
, z = z], [regular_chain, [[3, 3], [0, 0], [-10, -10], [-18, -18], [0, 0]]]],
[[11, 16, 7, 1, 1], [2^(1/2) < v, u = v, 1 < x, y < 0, z = z], [regular_chain,
[[3, 3], [3, 3], [2, 2], [-1, -1], [0, 0]]]], [[11, 18, 7, 5, 1], [2^(1/2) < v
, u = (v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z < -(y-x)^(1/2)],
[regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [1/2, 1/2], [3/2, 3/
2], [-2, -2]]]], [[11, 18, 7, 5, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), And(0 <
x,x < 1), And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]], [[11, 18,
7, 5, 3], [2^(1/2) < v, u = (v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2
), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [207243/
65536, 3315889/1048576], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[11, 18, 7, 5, 4]
, [2^(1/2) < v, u = (v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z = (
y-x)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [1/2, 1
/2], [3/2, 3/2], [1, 1]]]], [[11, 18, 7, 5, 5], [2^(1/2) < v, u = (v^2+1)^(1/2
), And(0 < x,x < 1), And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[3
, 3], [207243/65536, 3315889/1048576], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[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(
0 < y,y < x), 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 < x-u^2+v^2+1, z = z], [regular_chain, [[-3,
-3], [-3396811/1048576, -3396811/1048576], [129511/524288, 129511/524288], [-2
, -2], [0, 0]]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[-3,
-3], [-6111549/2097152, -6111549/2097152], [-516571/2097152, -516571/2097152],
[0, 0], [-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 = 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, 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 = 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, 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 = 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, 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 = 0, (-x)^(1/2) < z], [regular_chain,
[[-3, -3], [-6111549/2097152, -6111549/2097152], [-516571/2097152, -516571/
2097152], [0, 0], [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 < -y^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [0, 0], [
2630187/2097152, 2630187/2097152], [-3, -3]]]], [[1, 9, 6, 5, 2], [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 = -y^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [0, 0], [2630187/2097152, 2630187/2097152], [-587149/524288, -\
1174297/1048576]]]], [[1, 9, 6, 5, 3], [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), And(-y^(1/2) < z,z < y^(1
/2))], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [0,
0], [2630187/2097152, 2630187/2097152], [0, 0]]]], [[1, 9, 6, 5, 4], [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 = y^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [0, 0], [2630187/2097152, 2630187/2097152], [1174297/1048576, 587149
/524288]]]], [[1, 9, 6, 5, 5], [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), y^(1/2) < z], [regular_chain, [[
-3, -3], [-22960369/8388608, -22960369/8388608], [0, 0], [2630187/2097152, 
2630187/2097152], [3, 3]]]], [[1, 14, 9, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 < 0), z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-3, -3], [-3159537/
4194304, -3159537/4194304], [-3, -3]]]], [[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 < 0), z = -(
y-x)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-3, -\
3], [-3159537/4194304, -3159537/4194304], [-1571713/1048576, -12279/8192]]]],
[[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 < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-3, -3], [-3159537/
4194304, -3159537/4194304], [0, 0]]]], [[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 < 0), z = (y-x
)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-3, -3],
[-3159537/4194304, -3159537/4194304], [12279/8192, 1571713/1048576]]]], [[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 < 0), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-3, -3], [-3159537/4194304, -3159537/4194304],
[3, 3]]]], [[1, 20, 7, 5, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), And(0 < x,x <
1), And(0 < y,y < x), 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 < -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [7, 7], [-4, -4]]]], [[2
, 1, 4, 8, 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, 8, 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, 8, 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, 8, 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, 8, 2, 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, 7, 1, 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], [
-1, -1], [0, 0]]]], [[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-1, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-\
1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[3, 4, 8, 1, 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], [-1, -\
1], [0, 0]]]], [[3, 6, 7, 2, 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, 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 < x+2)
, z < -(y-x)^(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, 5, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(0 < x,x < 1), And(
x < y,y < x+2), z = -(y-x)^(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, 5, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And
(0 < x,x < 1), And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 5, 4], [And(-2^(1/2)
< v,v < -1), u = (v^2-1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z = (y-x
)^(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, 5, 5],
[And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(0 < x,x < 1), And(x < y,y <
x+2), (y-x)^(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, 6
, 6, 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, 6, 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, 6, 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, 6
, 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, 6, 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, 7, 7, 1
], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(0 < x,x < 1), x+2 < y, z
< -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1643659/1048576, 410915/262144], [1/2, 1/2], [4, 4], [-3, -3]]]], [[3, 14, 7,
7, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(0 < x,x < 1), x+2 < y
, z = -(y-x)^(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, 7, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(
1/2), And(0 < x,x < 1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [1/2, 1/2], [4, 4], [0, 0]]]], [[3, 14, 7, 7, 4], [And(-2^(1/2) < v,
v < -1), u = (v^2+1)^(1/2), And(0 < x,x < 1), x+2 < y, z = (y-x)^(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,
7, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(0 < x,x < 1), x+2 < y
, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1643659/1048576, 410915/262144], [1/2, 1/2], [4, 4], [3, 3]]]], [[3, 16, 5, 5,
1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(x < y
,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (
y-x)^(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(x < y
,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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(x <
y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [2, 2], [7/2, 7/2], [-3, -3]]]], [[4, 2, 9, 7, 2], [v = -1,
u = -3^(1/2), 1 < x, And(x < y,y < x+3), z = -(y-x)^(1/2)], [regular_chain, [[
-1, -1], [-1816187/1048576, -3632373/2097152], [2, 2], [7/2, 7/2], [-1284239/
1048576, -642119/524288]]]], [[4, 2, 9, 7, 3], [v = -1, u = -3^(1/2), 1 < x, 
And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
-1, -1], [-1816187/1048576, -3632373/2097152], [2, 2], [7/2, 7/2], [0, 0]]]],
[[4, 2, 9, 7, 4], [v = -1, u = -3^(1/2), 1 < x, And(x < y,y < x+3), z = (y-x)^
(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [2, 2
], [7/2, 7/2], [642119/524288, 1284239/1048576]]]], [[4, 2, 9, 7, 5], [v = -1,
u = -3^(1/2), 1 < x, And(x < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[-\
1, -1], [-1816187/1048576, -3632373/2097152], [2, 2], [7/2, 7/2], [3, 3]]]], [
[4, 4, 8, 6, 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, 6, 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, 6, 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, 6
, 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, 6, 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, 1, 1, 1], [v = -1, And(1 < u,u < 2^(1/2)), x <
-u^2, y < x, z = z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-3, -3], [-4, -4], [0, 0]]]], [[4, 12, 9, 2, 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, 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, 4, 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, 4, 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, 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(u^2-v^2+x+1 < y,y < 0),
z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/
262144], [-4, -4], [-3222219/4194304, -3222219/4194304], [-3, -3]]]], [[5, 3,
1, 7, 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 < 0), z = -(y-x)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [-343151/262144, -343151/262144], [-4, -4], [-3222219/4194304, -\
3222219/4194304], [-7540145/4194304, -471259/262144]]]], [[5, 3, 1, 7, 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 < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-4, -4], [-\
3222219/4194304, -3222219/4194304], [0, 0]]]], [[5, 3, 1, 7, 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 < 0), z = (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [-4, -4], [-3222219/4194304, -3222219/4194304], [
471259/262144, 1885037/1048576]]]], [[5, 3, 1, 7, 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
< 0), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [-4, -4], [-3222219/4194304, -3222219/4194304], [3, 3]]]], [[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(0 < y,y < u^2+x+1), z <
-(y-x)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-1/2, -1/2], [19/4, 19/4],
[-4, -4]]]], [[6, 1, 5, 7, 2], [v = 0, u < -2^(1/2), And(-1 < x,x < 0), And(0
< y,y < u^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-1/2,
-1/2], [19/4, 19/4], [-1201295/524288, -2402589/1048576]]]], [[6, 1, 5, 7, 3],
[v = 0, u < -2^(1/2), And(-1 < x,x < 0), And(0 < y,y < u^2+x+1), And(-(y-x)^(1
/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [-3, -3], [-1/2, -1/2], [
19/4, 19/4], [0, 0]]]], [[6, 1, 5, 7, 4], [v = 0, u < -2^(1/2), And(-1 < x,x <
0), And(0 < y,y < u^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [-3, -3
], [-1/2, -1/2], [19/4, 19/4], [2402589/1048576, 1201295/524288]]]], [[6, 1, 5
, 7, 5], [v = 0, u < -2^(1/2), And(-1 < x,x < 0), And(0 < y,y < u^2+x+1), (y-x
)^(1/2) < z], [regular_chain, [[0, 0], [-3, -3], [-1/2, -1/2], [19/4, 19/4], [
4, 4]]]], [[6, 5, 2, 7, 1], [v = 0, And(-1 < u,u < 0), x = -u^2-1, 0 < y, 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, 7, 2], [v = 0, And(-1 < u,u < 0), x = -u^2-1, 0 < y,
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, 7, 3], [v = 0, And(-1 < u,u < 0), x = -u^2-1
, 0 < y, 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, 7, 4], [v = 0, 
And(-1 < u,u < 0), x = -u^2-1, 0 < y, 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, 7, 5], [v
= 0, And(-1 < u,u < 0), x = -u^2-1, 0 < y, (u^2+y+1)^(1/2) < z], [
regular_chain, [[0, 0], [-1/2, -1/2], [-5/4, -5/4], [1, 1], [3, 3]]]], [[6, 7,
3, 8, 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, 8, 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, 8, 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, 8, 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
, 8, 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, 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 < -y^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [0
, 0], [39/8, 39/8], [-4, -4]]]], [[7, 1, 6, 5, 2], [And(0 < v,v < 1), u < -(v^
2+2)^(1/2), x = 0, And(0 < y,y < u^2-v^2+1), 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, 5, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 0, And(0 < y
,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], [39/8, 39/8], [0, 0]]]], [[7, 1, 6, 5, 4], [And(0 < v,v < 1)
, u < -(v^2+2)^(1/2), x = 0, And(0 < y,y < u^2-v^2+1), 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, 5, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x
= 0, And(0 < y,y < u^2-v^2+1), y^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3,
-3], [0, 0], [39/8, 39/8], [4, 4]]]], [[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 = z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1, -1], [-3, -\
3], [0, 0]]]], [[7, 7, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6,
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, 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(x-u^2+v^2+1 < y,y < 0), z < -(y-x)^(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(x-u^2+v^2+1
< y,y < 0), z = -(y-x)^(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
(x-u^2+v^2+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x-u^2+v^2+1 < y,y < 0), z = (y-x)^(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(x-u^2+v^2+1 < y,y < 0), (y-x)^(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 < x-u^2+v^2+1, z = z], [regular_chain, [[1/2, 1/2]
, [343151/262144, 343151/262144], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[7, 13,
1, 9, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, 0 < y, z < -(y
-x)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-11, -11], [1, 1], [-5, -5]]
]], [[7, 13, 1, 9, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, 0
< y, z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-11, -11], [1, 1
], [-1816187/524288, -3632373/1048576]]]], [[7, 13, 1, 9, 3], [And(0 < v,v < 1
), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1
/2))], [regular_chain, [[1/2, 1/2], [3, 3], [-11, -11], [1, 1], [0, 0]]]], [[7
, 13, 1, 9, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, 0 < y, z
= (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-11, -11], [1, 1], [
3632373/1048576, 1816187/524288]]]], [[7, 13, 1, 9, 5], [And(0 < v,v < 1), (v^
2+2)^(1/2) < u, x < -u^2+v^2-1, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[1/2
, 1/2], [3, 3], [-11, -11], [1, 1], [5, 5]]]], [[8, 3, 6, 2, 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], [-497807/1048576, -248903/524288
], [0, 0]]]], [[8, 5, 5, 1, 1], [v = 1, And(-2^(1/2) < u,u < -1), And(-1 < x,x
< u^2-2), y < x, z = z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-3235683/4194304, -3235683/4194304], [-2, -2], [0, 0]]]], [[8, 11,
6, 7, 1], [v = 1, And(1 < u,u < 2^(1/2)), x = u^2-2, 2*u^2-2 < y, z < -(y-u^2+
2)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-\
1138531/2097152, -569265/1048576], [2, 2], [-3, -3]]]], [[8, 11, 6, 7, 2], [v
= 1, And(1 < u,u < 2^(1/2)), x = u^2-2, 2*u^2-2 < y, z = -(y-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1138531/2097152,
-569265/1048576], [2, 2], [-1672107/1048576, -3344213/2097152]]]], [[8, 11, 6,
7, 3], [v = 1, And(1 < u,u < 2^(1/2)), x = u^2-2, 2*u^2-2 < y, And(-(y-u^2+2)^
(1/2) < z,z < (y-u^2+2)^(1/2))], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-1138531/2097152, -569265/1048576], [2, 2], [-1/4194304, -1
/4194304]]]], [[8, 11, 6, 7, 4], [v = 1, And(1 < u,u < 2^(1/2)), x = u^2-2, 2*
u^2-2 < y, z = (y-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-1138531/2097152, -569265/1048576], [2, 2], [836053/524288,
1672107/1048576]]]], [[8, 11, 6, 7, 5], [v = 1, And(1 < u,u < 2^(1/2)), x = u^
2-2, 2*u^2-2 < y, (y-u^2+2)^(1/2) < z], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576], [2, 2], [3, 3]
]]], [[8, 13, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [12912521/1048576, 
6456261/524288], [-4, -4]]]], [[9, 1, 9, 8, 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], [12912521/1048576, 6456261/524288], [-1532401/
524288, -24518415/8388608]]]], [[9, 1, 9, 8, 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], [12912521/1048576, 
6456261/524288], [-7/16777216, -7/16777216]]]], [[9, 1, 9, 8, 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], [12912521/1048576, 6456261/524288], [
3064801/1048576, 1532401/524288]]]], [[9, 1, 9, 8, 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], [12912521/1048576, 6456261/524288], [4, 4]]
]], [[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 < -y^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [0, 0], [4,
4], [-3, -3]]]], [[9, 3, 6, 7, 2], [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 = -y^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [
0, 0], [4, 4], [-2, -2]]]], [[9, 3, 6, 7, 3], [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, 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, 7, 4], [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 = y^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [0, 0], [4, 4], [2, 2]]]], [[9, 3, 6, 7,
5], [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, y^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [0, 0], [4, 4], [3, 3]]]], [
[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(x < y,y < 0), z < -(y-x)^(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, 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(x < y,y < 0), z = -(y-x)^(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, 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(x < y,y < 0), And(-(y-x)
^(1/2) < z,z < (y-x)^(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, 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(x <
y,y < 0), z = (y-x)^(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, 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(x < y,y < 0), (y-x)^(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, 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 < -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [3, 3
], [-3, -3]]]], [[9, 15, 5, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-1/2, -1/2], [3, 3], [0, 0]]]], [[9, 15, 5, 9, 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), u^2-v^2+x
+1 < y, z = (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-1/2, -1/2], [3, 3], [3, 3]]]], [[10, 1, 10, 2, 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, 3, 1], [v = 2^(1/2)
, And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), And(x-u^2+3 < 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, 4, 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, 4, 3, 1], [v
= 2^(1/2), And(0 < u,u < 1), x = -1, And(u^2-2 < y,y < -1), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1, -1], [-11/8
, -11/8], [0, 0]]]], [[10, 15, 5, 1, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)),
And(-1 < x,x < u^2-3), y < x, z = z], [regular_chain, [[741455/524288, 1482911
/1048576], [3299097/2097152, 3299097/2097152], [-3198693/4194304, -3198693/
4194304], [-2, -2], [0, 0]]]], [[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-1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-3651195/2097152, -3651195/2097152], [2, 2], [-3, -3]]]], [[10, 17,
3, 9, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), u^2+x-\
1 < y, z = -(y-x)^(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, 9, 3], [v = 2^(1/2),
And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), u^2+x-1 < y, And(-(y-x)^(1/2)
< z,z < (y-x)^(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, 9, 4], [v = 2^(1/2), And(3^(1/2
) < u,u < 2), And(-u^2+1 < x,x < -1), u^2+x-1 < y, z = (y-x)^(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, 9, 5], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And
(-u^2+1 < x,x < -1), u^2+x-1 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-3651195/
2097152, -3651195/2097152], [2, 2], [3, 3]]]], [[10, 19, 1, 7, 1], [v = 2^(1/2
), 2 < u, x < -u^2+1, And(u^2+x-1 < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9, -9], [-1/2, -1/
2], [-4, -4]]]], [[10, 19, 1, 7, 2], [v = 2^(1/2), 2 < u, x < -u^2+1, And(u^2+
x-1 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [-9, -9], [-1/2, -1/2], [-24456785/8388608, -1528549/524288]
]]], [[10, 19, 1, 7, 3], [v = 2^(1/2), 2 < u, x < -u^2+1, And(u^2+x-1 < y,y <
0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [-9, -9], [-1/2, -1/2], [0, 0]]]], [[10, 19, 1, 7, 4
], [v = 2^(1/2), 2 < u, x < -u^2+1, And(u^2+x-1 < y,y < 0), z = (y-x)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9, -9], [-1/2, -1
/2], [1528549/524288, 3057099/1048576]]]], [[10, 19, 1, 7, 5], [v = 2^(1/2), 2
< u, x < -u^2+1, And(u^2+x-1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [-9, -9], [-1/2, -1/2], [4, 4]]]], [[
11, 1, 7, 6, 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, 6, 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, 6, 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, 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 < x, z = z], [regular_chain, [[3, 3], [-403851/131072, -403851
/131072], [-1579769/2097152, -1579769/2097152], [-2, -2], [0, 0]]]], [[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(u^2-v^2+x+1 < y,y < 0), z < -(y-x)^(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(u^2-v^2+x+1
< y,y < 0), z = -(y-x)^(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(u^2-v^2+x+1
< y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(u^2-v^2+x+1 < y,y < 0), z = (y-x)^(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(u^2-v^2+x+1 < y,y < 0), (y-x)^(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 < 0, z = z], [regular_chain, [[3, 3], [2774271/1048576,
10837/4096], [2, 2], [-1, -1], [0, 0]]]], [[11, 14, 7, 3, 1], [2^(1/2) < v, u
= (v^2-1)^(1/2), And(0 < x,x < 1), And(0 < y,y < x), z = z], [regular_chain, [
[3, 3], [741455/262144, 2965821/1048576], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [
[11, 18, 8, 5, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), x = 1, And(1 < y,y < 3), z
< -(y-1)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [1,
1], [2, 2], [-2, -2]]]], [[11, 18, 8, 5, 2], [2^(1/2) < v, u = (v^2+1)^(1/2),
x = 1, And(1 < y,y < 3), z = -(y-1)^(1/2)], [regular_chain, [[3, 3], [207243/
65536, 3315889/1048576], [1, 1], [2, 2], [-1, -1]]]], [[11, 18, 8, 5, 3], [2^(
1/2) < v, u = (v^2+1)^(1/2), x = 1, And(1 < y,y < 3), 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, 5, 4], [2^(1/2) < v, u = (v^2+1)^(1/2), x =
1, And(1 < y,y < 3), z = (y-1)^(1/2)], [regular_chain, [[3, 3], [207243/65536,
3315889/1048576], [1, 1], [2, 2], [1, 1]]]], [[11, 18, 8, 5, 5], [2^(1/2) < v,
u = (v^2+1)^(1/2), x = 1, And(1 < y,y < 3), (y-1)^(1/2) < z], [regular_chain,
[[3, 3], [207243/65536, 3315889/1048576], [1, 1], [2, 2], [2, 2]]]], [[11, 20,
5, 6, 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, 6, 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, 6, 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
, 6, 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, 6, 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, 6, 1, 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 = z], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [-531193/1048576, -1062385/2097152], [-2, -2], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-516571/2097152, -516571/2097152], [-129143/524288, -258285/1048576
], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [-\
129143/524288, -258285/1048576], [0, 0]]]], [[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 = x, 0 < z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-516571/
2097152, -516571/2097152], [-129143/524288, -258285/1048576], [1, 1]]]], [[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 = z], [regular_chain, [[-3, -3], [0, 0], [-1, -1], [-9, -9],
[0, 0]]]], [[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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(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(x < y,y < x-u^
2+v^2+1), z = -(y-x)^(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(x < y,y < x-u^2+v^2+1), And(-(y-
x)^(1/2) < z,z < (y-x)^(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(x < y,y < x-u^2+v^2+1), z = (y-x)^(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(x < y,y < x-u^2
+v^2+1), (y-x)^(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, x+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [2, 2], [5, 5], [-3
, -3]]]], [[1, 18, 9, 7, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), 1 < x, x+2 < y,
z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576],
[2, 2], [5, 5], [-1816187/1048576, -3632373/2097152]]]], [[1, 18, 9, 7, 3], [v
< -2^(1/2), u = (v^2+1)^(1/2), 1 < x, x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^
(1/2))], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [2, 2], [
5, 5], [-1/4194304, -1/4194304]]]], [[1, 18, 9, 7, 4], [v < -2^(1/2), u = (v^2
+1)^(1/2), 1 < x, x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [
207243/65536, 3315889/1048576], [2, 2], [5, 5], [908093/524288, 1816187/
1048576]]]], [[1, 18, 9, 7, 5], [v < -2^(1/2), u = (v^2+1)^(1/2), 1 < x, x+2 <
y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576
], [2, 2], [5, 5], [3, 3]]]], [[1, 20, 7, 3, 1], [v < -2^(1/2), u = (v^2+2)^(1
/2), And(0 < x,x < 1), And(x-1 < y,y < 0), z = z], [regular_chain, [[-3, -3],
[3477733/1048576, 1738867/524288], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[2, 3
, 2, 3, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, And(-2*u^2+4
< y,y < -u^2+1), z = z], [regular_chain, [[-1482911/1048576, -741455/524288],
[-3913339/2097152, -3913339/2097152], [-650655/262144, -2602619/1048576], [-\
45685649/16777216, -45685649/16777216], [0, 0]]]], [[2, 5, 1, 6, 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], [-799673/524288, -3198691/2097152], [-3, -3]]]], [
[2, 5, 1, 6, 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], [-799673/524288, -3198691/
2097152], [-636691/524288, -1273381/1048576]]]], [[2, 5, 1, 6, 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], [-799673/524288, -3198691/
2097152], [0, 0]]]], [[2, 5, 1, 6, 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], [-\
799673/524288, -3198691/2097152], [1273381/1048576, 636691/524288]]]], [[2, 5,
1, 6, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, y = u^2+x-1, (u^
2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-3, -3], [-799673/524288, -3198691/
2097152], [3, 3]]]], [[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], [-1138531/1048576, -569265/524288], [-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], [-1138531/1048576,
-569265/524288], [-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], [-\
1138531/1048576, -569265/524288], [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], [-1138531/1048576, -569265/524288], [
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], [-1138531/1048576, -569265/524288], [2, 2]
]]], [[2, 9, 1, 7, 1], [v = -2^(1/2), And(-1 < u,u < 0), x < u^2-3, And(x-u^2+
3 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1/2, -1/2], [-4, -4], [-5/8, -5/8], [-3, -3]]]], [[2, 9, 1, 7, 2],
[v = -2^(1/2), And(-1 < u,u < 0), x < u^2-3, And(x-u^2+3 < y,y < 0), z = -(y-x
)^(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, 7,
3], [v = -2^(1/2), And(-1 < u,u < 0), x < u^2-3, And(x-u^2+3 < y,y < 0), And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455
/524288], [-1/2, -1/2], [-4, -4], [-5/8, -5/8], [0, 0]]]], [[2, 9, 1, 7, 4], [
v = -2^(1/2), And(-1 < u,u < 0), x < u^2-3, And(x-u^2+3 < y,y < 0), z = (y-x)^
(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, 7, 5], [v
= -2^(1/2), And(-1 < u,u < 0), x < u^2-3, And(x-u^2+3 < y,y < 0), (y-x)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-4,
-4], [-5/8, -5/8], [3, 3]]]], [[2, 12, 7, 3, 1], [v = -2^(1/2), u = 1, And(0 <
x,x < 1), And(0 < y,y < x), z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[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 < 0), 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, 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^2-1 < y,y < 0), 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, 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^2-1 < 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], [-3, -3], [-4478937/524288, -8957873/1048576], [-\
8957873/2097152, -8957873/2097152], [0, 0]]]], [[3, 1, 2, 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^2-1 < y,y < 0), 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, 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^2-1 < y,y < 0),
(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, 9, 1, 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], [-1, -1], [0, 0]]]], [
[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 < 3), z < -(y-1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [1, 1], [2, 2], [-2, -2]]]], [[3, 8, 8, 5, 2], [And(-2^(1/2) <
v,v < -1), u = -(v^2-1)^(1/2), x = 1, And(1 < y,y < 3), z = -(y-1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [1, 1], [2, 2], [-1, -1]]]], [[3, 8, 8, 5, 3], [And(-2^(1/2) <
v,v < -1), u = -(v^2-1)^(1/2), x = 1, And(1 < y,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], [2, 2], [0, 0]]]], [[3, 8, 8, 5, 4],
[And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 1, And(1 < y,y < 3), z = (y
-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/
2097152, -354469/524288], [1, 1], [2, 2], [1, 1]]]], [[3, 8, 8, 5, 5], [And(-2
^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 1, And(1 < y,y < 3), (y-1)^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152,
-354469/524288], [1, 1], [2, 2], [2, 2]]]], [[4, 1, 3, 2, 1], [v = -1, u < -3^
(1/2), And(-u^2 < x,x < -1), y = x-u^2+2, z = z], [regular_chain, [[-1, -1], [
-3, -3], [-5, -5], [-12, -12], [0, 0]]]], [[4, 2, 9, 5, 1], [v = -1, u = -3^(1
/2), 1 < x, And(x-1 < y,y < 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 = x+1, z < -1], [regular_chain, [[-1, -1], [-1, -1],
[2, 2], [3, 3], [-2, -2]]]], [[4, 6, 7, 6, 2], [v = -1, u = -1, 1 < x, y = x+1
, z = -1], [regular_chain, [[-1, -1], [-1, -1], [2, 2], [3, 3], [-1, -1]]]], [
[4, 6, 7, 6, 3], [v = -1, u = -1, 1 < x, y = x+1, And(-1 < z,z < 1)], [
regular_chain, [[-1, -1], [-1, -1], [2, 2], [3, 3], [0, 0]]]], [[4, 6, 7, 6, 4
], [v = -1, u = -1, 1 < x, y = x+1, z = 1], [regular_chain, [[-1, -1], [-1, -1
], [2, 2], [3, 3], [1, 1]]]], [[4, 6, 7, 6, 5], [v = -1, u = -1, 1 < x, y = x+
1, 1 < z], [regular_chain, [[-1, -1], [-1, -1], [2, 2], [3, 3], [2, 2]]]], [[4
, 8, 8, 7, 1], [v = -1, u = 0, x = 1, 3 < y, z < -(y-1)^(1/2)], [regular_chain
, [[-1, -1], [0, 0], [1, 1], [4, 4], [-3, -3]]]], [[4, 8, 8, 7, 2], [v = -1, u
= 0, x = 1, 3 < y, z = -(y-1)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [1, 1
], [4, 4], [-1816187/1048576, -3632373/2097152]]]], [[4, 8, 8, 7, 3], [v = -1,
u = 0, x = 1, 3 < y, 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, 7, 4
], [v = -1, u = 0, x = 1, 3 < y, z = (y-1)^(1/2)], [regular_chain, [[-1, -1],
[0, 0], [1, 1], [4, 4], [908093/524288, 1816187/1048576]]]], [[4, 8, 8, 7, 5],
[v = -1, u = 0, x = 1, 3 < y, (y-1)^(1/2) < z], [regular_chain, [[-1, -1], [0,
0], [1, 1], [4, 4], [3, 3]]]], [[4, 14, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6,
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, 4, 2,
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, 4, 9, 7, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), 1 < x, x+2 < y, z < -
(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576
], [2, 2], [5, 5], [-3, -3]]]], [[5, 4, 9, 7, 2], [And(-1 < v,v < 0), u = -(v^
2+1)^(1/2), 1 < x, x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2],
[-146543/131072, -1172343/1048576], [2, 2], [5, 5], [-1816187/1048576, -\
3632373/2097152]]]], [[5, 4, 9, 7, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2),
1 < x, x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2
, -1/2], [-146543/131072, -1172343/1048576], [2, 2], [5, 5], [-1/4194304, -1/
4194304]]]], [[5, 4, 9, 7, 4], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), 1 < x,
x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -\
1172343/1048576], [2, 2], [5, 5], [908093/524288, 1816187/1048576]]]], [[5, 4,
9, 7, 5], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), 1 < x, x+2 < y, (y-x)^(1/2)
< z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [2, 2
], [5, 5], [3, 3]]]], [[5, 7, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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 < x, z = z], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [-3, -3], [0,
0]]]], [[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 = -2*u^2+2*v^2, z = z], [regular_chain, [[-1/2, -1
/2], [343151/262144, 343151/262144], [-2583195/1048576, -1291597/524288], [-\
6138473/2097152, -24553891/8388608], [0, 0]]]], [[6, 1, 5, 9, 1], [v = 0, u <
-2^(1/2), And(-1 < x,x < 0), u^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [
[0, 0], [-3, -3], [-1/2, -1/2], [11, 11], [-5, -5]]]], [[6, 1, 5, 9, 2], [v =
0, u < -2^(1/2), And(-1 < x,x < 0), u^2+x+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[0, 0], [-3, -3], [-1/2, -1/2], [11, 11], [-3555895/1048576, -\
1777947/524288]]]], [[6, 1, 5, 9, 3], [v = 0, u < -2^(1/2), And(-1 < x,x < 0),
u^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0],
[-3, -3], [-1/2, -1/2], [11, 11], [0, 0]]]], [[6, 1, 5, 9, 4], [v = 0, u < -2^
(1/2), And(-1 < x,x < 0), u^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[0,
0], [-3, -3], [-1/2, -1/2], [11, 11], [1777947/524288, 3555895/1048576]]]], [[
6, 1, 5, 9, 5], [v = 0, u < -2^(1/2), And(-1 < x,x < 0), u^2+x+1 < y, (y-x)^(1
/2) < z], [regular_chain, [[0, 0], [-3, -3], [-1/2, -1/2], [11, 11], [5, 5]]]]
, [[6, 3, 3, 5, 1], [v = 0, And(-2^(1/2) < u,u < -1), And(-u^2-1 < x,x < -1),
And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0)
, (y-x)^(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 = x-u^2+1, z = z], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [-1812519/1048576, -1812519/1048576], [-1145915/
524288, -2291829/1048576], [0, 0]]]], [[6, 10, 9, 5, 1], [v = 0, u = 2^(1/2),
1 < x, And(x-1 < y,y < 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
< -1), z = z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144],
[-1, -1], [-1291597/1048576, -1291597/1048576], [0, 0]]]], [[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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 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, 8, 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, 8, 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, 5, 5, 1], [v = 1, And(-3^(1/2) < u,u < -
2^(1/2)), And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 < -2*u^2+2), 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, 5, 2], [v = 1, And(-1 < u,u < 0), x = -u^2, And(0 < y,y
< -2*u^2+2), 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, 5, 3], [v = 1, And(-1 < u,u < 0),
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], [-1/2, -1/2], [-1/4, -1/4], [3/4, 3/4], [0, 0]]]], [[
8, 7, 6, 5, 4], [v = 1, And(-1 < u,u < 0), x = -u^2, And(0 < y,y < -2*u^2+2),
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, 5, 5], [v = 1, And(-1 < u,u < 0), x = -u^2, And(0
< y,y < -2*u^2+2), (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, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 5, 1], [v = 1, 3^(1/2) < u, And(-u^2 < x,x < -1), And(x
< y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/
2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = x-u^2+v^2+1, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3, -3], [7909297/2097152, 7909297/2097152], [-2906073/1048576, -11624291/
4194304], [0, 0]]]], [[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 = 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], [980473/1048576, 490237
/524288], [-3, -3]]]], [[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 = 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], [980473/1048576, 490237
/524288], [-1270261/1048576, -317565/262144]]]], [[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 = 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], [980473/1048576, 490237/524288], [0, 0]]]], [[9, 5,
6, 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 = 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], [980473/1048576, 490237/524288], [317565/262144, 1270261/
1048576]]]], [[9, 5, 6, 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 = 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], [980473/1048576, 490237
/524288], [3, 3]]]], [[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(x < y,y < 0), z < -(y-x)^(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, 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(x < y,y < 0), z = -(
y-x)^(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, 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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(x < y,y < 0), z = (y-x
)^(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, 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(x < y,y < 0), (y-x)^(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, 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 < -y^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [0, 0], [4, 4], [-3, -3]]]], [[9, 9, 6, 7, 2], [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 = -y^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [0
, 0], [4, 4], [-2, -2]]]], [[9, 9, 6, 7, 3], [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, 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, 7, 4], [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 = y^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [0, 0], [4, 4], [2
, 2]]]], [[9, 9, 6, 7, 5], [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, y^(1/2) < z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [0, 0], [0, 0], [4, 4], [3, 3]]]], [[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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 < -(u^2-v^2+1)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 
898327/524288], [0, 0], [2599117/1048576, 1299559/524288], [-3, -3]]]], [[9, 
15, 6, 6, 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], [2599117/
1048576, 1299559/524288], [-3301741/2097152, -825435/524288]]]], [[9, 15, 6, 6
, 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], [2599117/1048576, 1299559/524288], [0, 0]]]], [[9, 15, 6, 6,
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], [2599117/1048576, 
1299559/524288], [825435/524288, 1650871/1048576]]]], [[9, 15, 6, 6, 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], [2599117/1048576, 1299559/
524288], [3, 3]]]], [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10006449/
2097152, -10006449/2097152], [494331/262144, 494331/262144], [-4, -4]]]], [[9,
17, 3, 7, 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 < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [-10006449/2097152, -10006449/
2097152], [494331/262144, 494331/262144], [-2705483/1048576, -5410965/2097152]
]]], [[9, 17, 3, 7, 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 < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-\
10006449/2097152, -10006449/2097152], [494331/262144, 494331/262144], [-1/
4194304, -1/4194304]]]], [[9, 17, 3, 7, 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 < u^2-v^2+x+1), z = (y-x)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10006449/
2097152, -10006449/2097152], [494331/262144, 494331/262144], [1352741/524288,
2705483/1048576]]]], [[9, 17, 3, 7, 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 < u^2-v^2+x+1), (y-x)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10006449/
2097152, -10006449/2097152], [494331/262144, 494331/262144], [4, 4]]]], [[10,
5, 7, 1, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), y <
x, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [-2, -2], [0
, 0]]]], [[10, 7, 7, 5, 1], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x
< 0), And(0 < y,y < u^2+x-1), z < -(y-x)^(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(0
< y,y < u^2+x-1), z = -(y-x)^(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(0 < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(0 < y,y < u^2+x-1), z = (y-x)^(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(0 < y,y < u^2+x-1), (y-x)^(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 < -(
y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-\
1, -1], [3, 3], [-3, -3]]]], [[10, 11, 4, 9, 2], [v = 2^(1/2), And(0 < u,u < 1
), x = -1, -u^2+2 < y, z = -(y+1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1/2, 1/2], [-1, -1], [3, 3], [-2, -2]]]], [[10, 11, 4, 9, 3
], [v = 2^(1/2), And(0 < u,u < 1), x = -1, -u^2+2 < y, And(-(y+1)^(1/2) < z,z
< (y+1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2]
, [-1, -1], [3, 3], [0, 0]]]], [[10, 11, 4, 9, 4], [v = 2^(1/2), And(0 < u,u <
1), x = -1, -u^2+2 < y, z = (y+1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1/2, 1/2], [-1, -1], [3, 3], [2, 2]]]], [[10, 11, 4, 9, 5],
[v = 2^(1/2), And(0 < u,u < 1), x = -1, -u^2+2 < y, (y+1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1, -1], [3, 3]
, [3, 3]]]], [[10, 13, 3, 8, 1], [v = 2^(1/2), And(1 < u,u < v), And(u^2-3 < x
,x < -1), y = x-u^2+3, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [1265743/1048576, 1265743/1048576], [-2666417/2097152, -\
2666417/2097152], [35579/131072, 284633/1048576], [-3, -3]]]], [[10, 13, 3, 8,
2], [v = 2^(1/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), y = x-u^2+3, z = -(
-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-2666417/2097152, -2666417/2097152], [35579/131072
, 284633/1048576], [-1302471/1048576, -651235/524288]]]], [[10, 13, 3, 8, 3],
[v = 2^(1/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), y = x-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], [-2666417/2097152, -2666417/
2097152], [35579/131072, 284633/1048576], [0, 0]]]], [[10, 13, 3, 8, 4], [v =
2^(1/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), y = x-u^2+3, z = (-u^2+3)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [-2666417/2097152, -2666417/2097152], [35579/131072, 284633/
1048576], [651235/524288, 1302471/1048576]]]], [[10, 13, 3, 8, 5], [v = 2^(1/2
), And(1 < u,u < v), And(u^2-3 < x,x < -1), y = x-u^2+3, (-u^2+3)^(1/2) < z],
[regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-2666417/2097152, -2666417/2097152], [35579/131072, 284633/1048576]
, [3, 3]]]], [[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(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(
1/2) < z,z < (y-x)^(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
(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = -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], [-2, -2]]]], [[11, 5, 4, 4, 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], [-373161/524288, -1492643/2097152]]]], [[
11, 5, 4, 4, 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], [-1/4194304, -1/4194304]]]], [[11, 5, 4, 4, 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], [746321/1048576, 373161/524288]]]], [[11, 5, 4, 4, 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], [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 = z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [-1/2, -1/2], [-264331/262144, -1057323/1048576], [0, 0]]]], [[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 < 2*u^2-2*v^2, z = z], [regular_chain, [[3, 3], [0, 0], [-10, -10],
[-19, -19], [0, 0]]]], [[11, 16, 7, 2, 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,
7, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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,
9, 4, 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, 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 < -y^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -\
3396811/1048576], [0, 0], [4, 4], [-3, -3]]]], [[1, 3, 6, 7, 2], [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 = -y^(1/
2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [0, 0],
[4, 4], [-2, -2]]]], [[1, 3, 6, 7, 3], [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, 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, 7, 4], [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 = y^(1/2)], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [0, 0], [4, 4], [2, 2]]]], [[1, 3, 6, 7, 5
], [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, y^(1/2) < z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [0, 0], [4, 4], [3, 3]]]], [[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(0 < y,y < u^2-v^2+x+1),
z < -(y-x)^(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(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(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(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) <
z,z < (y-x)^(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(0 < y,y < u^2-v^2+x+1), z = (y-x)^(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(0 < y,y < u^2-v^2+x+1), (y-x)^(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 < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [0, 0], [2630187/1048576, 657547/262144]
, [-3, -3]]]], [[1, 9, 6, 6, 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], [2630187/1048576, 
657547/262144], [-3321417/2097152, -415177/262144]]]], [[1, 9, 6, 6, 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], [2630187/1048576, 657547/
262144], [0, 0]]]], [[1, 9, 6, 6, 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], [
2630187/1048576, 657547/262144], [415177/262144, 1660709/1048576]]]], [[1, 9,
6, 6, 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], [2630187/1048576, 657547/262144], [3, 3]]
]], [[1, 14, 9, 5, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), 1 < x, And(x < y,y <
x+2), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [2, 2], [3, 3], [-2, -2]]]], [[1, 14, 9, 5, 2], [v < -2^(1/2), u = (
v^2-1)^(1/2), 1 < x, And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[
-3, -3], [741455/262144, 2965821/1048576], [2, 2], [3, 3], [-1, -1]]]], [[1, 
14, 9, 5, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), 1 < x, And(x < y,y < x+2), And
(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [741455/262144
, 2965821/1048576], [2, 2], [3, 3], [0, 0]]]], [[1, 14, 9, 5, 4], [v < -2^(1/2
), u = (v^2-1)^(1/2), 1 < x, And(x < y,y < x+2), z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [2, 2], [3, 3], [1
, 1]]]], [[1, 14, 9, 5, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), 1 < x, And(x < y
,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [741455/262144, 
2965821/1048576], [2, 2], [3, 3], [2, 2]]]], [[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]
, [-1579769/1048576, -3159537/2097152], [-3, -3]]]], [[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], [-1579769/1048576, -3159537/2097152], [-1281417/1048576, -160177/
131072]]]], [[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], [-\
1579769/1048576, -3159537/2097152], [0, 0]]]], [[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], [-1579769/1048576, -3159537/2097152], [160177/131072, 1281417/1048576]]]],
[[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], [-1579769/1048576, -3159537/2097152], [3, 3
]]]], [[1, 20, 7, 6, 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, 6, 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, 6, 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, 1, 4, 9, 1], [v = -2^(1/2), u < -2, x = -1, u^2-2 < y, z
< -(y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3]
, [-1, -1], [8, 8], [-4, -4]]]], [[2, 1, 4, 9, 2], [v = -2^(1/2), u < -2, x =
-1, u^2-2 < y, z = -(y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [-1, -1], [8, 8], [-3, -3]]]], [[2, 1, 4, 9, 3], [v = -2^(1
/2), u < -2, x = -1, u^2-2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [8, 8]
, [0, 0]]]], [[2, 1, 4, 9, 4], [v = -2^(1/2), u < -2, x = -1, u^2-2 < y, z = (
y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-\
1, -1], [8, 8], [3, 3]]]], [[2, 1, 4, 9, 5], [v = -2^(1/2), u < -2, x = -1, u^
2-2 < y, (y+1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-3, -3], [-1, -1], [8, 8], [4, 4]]]], [[2, 10, 8, 1, 1], [v = -2^(1/2), u =
0, x = 1, y < 0, z = z], [regular_chain, [[-1482911/1048576, -741455/524288],
[0, 0], [1, 1], [-1, -1], [0, 0]]]], [[2, 12, 6, 5, 1], [v = -2^(1/2), u = 1,
x = 0, 2 < y, z < -y^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1, 1], [0, 0], [3, 3], [-3, -3]]]], [[2, 12, 6, 5, 2], [v = -2^(1/2)
, u = 1, x = 0, 2 < y, z = -y^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [0, 0], [3, 3], [-1816187/1048576, -3632373/2097152]]]
], [[2, 12, 6, 5, 3], [v = -2^(1/2), u = 1, x = 0, 2 < y, 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, 5, 4], [v = -2^(1/2), u = 1
, x = 0, 2 < y, z = y^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1, 1], [0, 0], [3, 3], [908093/524288, 1816187/1048576]]]], [[2, 12,
6, 5, 5], [v = -2^(1/2), u = 1, x = 0, 2 < y, y^(1/2) < z], [regular_chain, [[
-1482911/1048576, -741455/524288], [1, 1], [0, 0], [3, 3], [3, 3]]]], [[2, 16,
7, 5, 1], [v = -2^(1/2), u = 3^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z
< -(y-x)^(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, 5,
2], [v = -2^(1/2), u = 3^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z = -(y-
x)^(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, 5, 3], [v
= -2^(1/2), u = 3^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), And(-(y-x)^(1/2
) < z,z < (y-x)^(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, 5, 4], [v = -2^(1/2), u = 3^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z
= (y-x)^(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, 5, 5]
, [v = -2^(1/2), u = 3^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), (y-x)^(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, 5, 3, 1], [v = -
2^(1/2), u = 2, And(-1 < x,x < 0), And(x-1 < y,y < x), z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [2, 2], [-1/2, -1/2], [-1, -1], [0, 0]]]]
, [[3, 4, 7, 7, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(0 < x,x
< 1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-410915/262144, -3287319/2097152], [1/2, 1/2], [4, 4], [-3, -3]]]]
, [[3, 4, 7, 7, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(0 < x,x
< 1), x+2 < y, z = -(y-x)^(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, 7, 3], [And(-2^(1/2) < v,v < -1), u =
-(v^2+1)^(1/2), And(0 < x,x < 1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [1/2, 1/2], [4, 4], [0, 0]]]], [[3, 4, 7, 7, 4], [And(-2^(1/
2) < v,v < -1), u = -(v^2+1)^(1/2), And(0 < x,x < 1), x+2 < y, z = (y-x)^(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, 7, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(0 < x,x < 1)
, x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-410915/262144, -3287319/2097152], [1/2, 1/2], [4, 4], [3, 3]]]], [
[3, 6, 7, 1, 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], [-1, -1], [0, 0]]]], [[3, 10, 7, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [And(-2^(1/2) < v,v < -1), u
= -v, x = 1, 2 < y, z < -(y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [3, 3], [-3, -3]
]]], [[3, 12, 6, 7, 2], [And(-2^(1/2) < v,v < -1), u = -v, x = 1, 2 < y, 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, 7, 3], [And(-2^(1/2) < v,v < -1), u = -v, x = 1, 2 < y, 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, 7, 4], [And(-2^(1/2) < v,v < -1), u = -v, x = 1, 2 < y, 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, 7, 5], [And(-2^(1/2) < v,v < -1), u = -v, x = 1, 2 < y, (y-1)^(1/2) < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [1, 1], [3, 3], [3, 3]]]], [[3, 14, 8, 1, 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],
[-1, -1], [0, 0]]]], [[3, 16, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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
, 4, 8, 5, 1], [v = -1, u = -2^(1/2), x = 1, And(1 < y,y < 3), z < -(y-1)^(1/2
)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [1, 1], [2,
2], [-2, -2]]]], [[4, 4, 8, 5, 2], [v = -1, u = -2^(1/2), x = 1, And(1 < y,y <
3), z = -(y-1)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/
524288], [1, 1], [2, 2], [-1, -1]]]], [[4, 4, 8, 5, 3], [v = -1, u = -2^(1/2),
x = 1, And(1 < y,y < 3), 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, 5, 4], [v = -1, u = -2^(1/2), x = 1, And(1 < y,y < 3), z
= (y-1)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288],
[1, 1], [2, 2], [1, 1]]]], [[4, 4, 8, 5, 5], [v = -1, u = -2^(1/2), x = 1, And
(1 < y,y < 3), (y-1)^(1/2) < z], [regular_chain, [[-1, -1], [-1482911/1048576,
-741455/524288], [1, 1], [2, 2], [2, 2]]]], [[4, 11, 1, 2, 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, 2, 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, 2, 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, 3, 1], [v = -1, u = 2^(1/2), 1 < x, And(0 < y,y < x
), z = z], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [2, 2]
, [1, 1], [0, 0]]]], [[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 < -1), z = z], [regular_chain, [[-1/2, -1/2], [-3,
-3], [-1, -1], [-39/8, -39/8], [0, 0]]]], [[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 = 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], [-805555/524288, -3222219/2097152], [-3, -3]]]], [[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 = 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], [-805555/524288, -\
3222219/2097152], [-3291611/2097152, -1645805/1048576]]]], [[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 = u^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], [-\
805555/524288, -3222219/2097152], [0, 0]]]], [[5, 3, 1, 6, 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], [-805555/524288, -3222219/2097152], [1645805/1048576
, 822903/524288]]]], [[5, 3, 1, 6, 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],
[-805555/524288, -3222219/2097152], [3, 3]]]], [[5, 12, 8, 5, 1], [And(-1 < v,
v < 0), u = (v^2+2)^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 1, And(1 < y,y < 4)
, 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, 5, 3], [And(-1 < v,v
< 0), u = (v^2+2)^(1/2), x = 1, And(1 < y,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], [5/2, 5/2], [0,
0]]]], [[5, 12, 8, 5, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 1, And(1
< y,y < 4), 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, 5, 5], [And(-1
< v,v < 0), u = (v^2+2)^(1/2), x = 1, And(1 < y,y < 4), (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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = 0, And(0 <
u,u < 1), And(-u^2-1 < x,x < -1), And(0 < y,y < u^2+x+1), z < -(y-x)^(1/2)], [
regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8], [1/16, 1/16], [-3, -3]]]], [
[6, 7, 3, 7, 2], [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -1), And(0 < y,y
< u^2+x+1), z = -(y-x)^(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, 7, 3], [v
= 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -1), And(0 < y,y < u^2+x+1), And(-(y
-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -\
9/8], [1/16, 1/16], [0, 0]]]], [[6, 7, 3, 7, 4], [v = 0, And(0 < u,u < 1), And
(-u^2-1 < x,x < -1), And(0 < y,y < u^2+x+1), z = (y-x)^(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, 7, 5], [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -1)
, And(0 < y,y < u^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2
], [-9/8, -9/8], [1/16, 1/16], [3, 3]]]], [[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 < -(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, 6, 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, 6, 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, 6, 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, 6, 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, 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 = z], [regular_chain, [[1/2, 1/2], [-343151/262144,
-343151/262144], [-1, -1], [-1534619/1048576, -767309/524288], [0, 0]]]], [[7,
7, 4, 5, 1], [And(0 < v,v < 1), And(-v < u,u < v), x = -1, And(u^2-v^2 < y,y <
0), z < -(y+1)^(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(u^2-v^2 < y,y < 0), z = -(y+1)^(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(u^2-v^2 < y,y < 0)
, And(-(y+1)^(1/2) < z,z < (y+1)^(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(u^2-v^2 < y,y < 0), z = (y+1)^(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(u^2-v^2
< y,y < 0), (y+1)^(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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/
2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-\
1672995/2097152, -1672995/2097152], [-212079/1048576, -106039/524288], [-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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1672995/
2097152, -1672995/2097152], [-212079/1048576, -106039/524288], [-1618333/
2097152, -3236665/4194304]]]], [[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 = x-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], [-1672995/2097152, -1672995/2097152], [-212079/
1048576, -106039/524288], [-1/8388608, -1/8388608]]]], [[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 = x-u
^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [-212079/
1048576, -106039/524288], [404583/524288, 809167/1048576]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [-\
212079/1048576, -106039/524288], [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 < -(y+1)^
(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1, -1],
[3, 3], [-3, -3]]]], [[7, 11, 4, 9, 2], [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 = -(y+1)^(1/2)], [regular_chain,
[[1/2, 1/2], [343151/262144, 343151/262144], [-1, -1], [3, 3], [-2, -2]]]], [[
7, 11, 4, 9, 3], [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, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [
[1/2, 1/2], [343151/262144, 343151/262144], [-1, -1], [3, 3], [0, 0]]]], [[7,
11, 4, 9, 4], [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 = (y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144
, 343151/262144], [-1, -1], [3, 3], [2, 2]]]], [[7, 11, 4, 9, 5], [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, (y+1)^(1/
2) < z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1, -1]
, [3, 3], [3, 3]]]], [[7, 13, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 6,
3, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0, And(-u^2+2 < y,y < 0), z
= z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [0, 0], [
-248903/1048576, -248903/1048576], [0, 0]]]], [[8, 5, 5, 2, 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]
, [-3235683/4194304, -3235683/4194304], [-1, -1]]]], [[8, 5, 5, 2, 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], [-3235683/4194304, -3235683/4194304], [0, 0]]]], [[8, 5, 5, 2, 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], [-3235683/4194304, -3235683/4194304], [1, 1]]]], [
[8, 11, 6, 6, 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], [958621/1048576, 479311/524288], [-3, -3]]]], [[8,
11, 6, 6, 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], [958621/1048576, 479311/524288], [-1265743/1048576, -\
1265743/1048576]]]], [[8, 11, 6, 6, 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], [958621/
1048576, 479311/524288], [0, 0]]]], [[8, 11, 6, 6, 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], [958621/
1048576, 479311/524288], [1265743/1048576, 1265743/1048576]]]], [[8, 11, 6, 6,
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], [958621/1048576, 479311/524288], [3, 3]]]], [[8, 13, 5, 5, 1
], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), And(x < y,y < 0),
z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [14, 14], [-5, -5]]]],
[[9, 1, 9, 9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [14,
14], [-104799/32768, -3353567/1048576]]]], [[9, 1, 9, 9, 3], [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, And(-(y
-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [14, 14], [0, 0]]]], [
[9, 1, 9, 9, 4], [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 = (y-x)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [14, 14], [
3353567/1048576, 104799/32768]]]], [[9, 1, 9, 9, 5], [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, (y-x)^(1/2) < z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [7909297/
2097152, 7909297/2097152], [14, 14], [5, 5]]]], [[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 < x-u^2+v^2+1, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [501965/2097152, 501965/
2097152], [-2, -2], [0, 0]]]], [[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 = 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, 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 = 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, 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 = 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, 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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [898327/524288, 898327/524288], [-1/2, -1/2], [2074829/1048576, 1037415/
524288], [-3, -3]]]], [[9, 15, 5, 8, 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], [2074829/1048576, 1037415/524288], [-\
3301741/2097152, -825435/524288]]]], [[9, 15, 5, 8, 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
], [2074829/1048576, 1037415/524288], [0, 0]]]], [[9, 15, 5, 8, 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], [2074829/
1048576, 1037415/524288], [825435/524288, 1650871/1048576]]]], [[9, 15, 5, 8,
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], [
2074829/1048576, 1037415/524288], [3, 3]]]], [[10, 1, 10, 3, 1], [v = 2^(1/2),
u < -2, x = u^2-3, And(0 < y,y < u^2-3), z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [6, 6], [3, 3], [0, 0]]]], [[10, 3, 7, 4,
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, 3, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+1), And(u^2+x-\
1 < 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, 4, 2, 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,
15, 5, 2, 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], [-3198693/4194304, -\
3198693/4194304], [-1, -1]]]], [[10, 15, 5, 2, 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], [-3198693/4194304, -3198693/4194304], [0, 0]]]], [
[10, 15, 5, 2, 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], [-3198693/
4194304, -3198693/4194304], [1, 1]]]], [[10, 17, 4, 1, 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], [-3, -3], [0
, 0]]]], [[10, 19, 1, 8, 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, 8, 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, 8, 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, 8,
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, 8, 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, 7, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(0 < x,x < 1)
, And(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-5,
-5], [1/2, 1/2], [9, 9], [-4, -4]]]], [[11, 1, 7, 7, 2], [2^(1/2) < v, u < -(v
^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)],
[regular_chain, [[3, 3], [-5, -5], [1/2, 1/2], [9, 9], [-24456785/8388608, -\
1528549/524288]]]], [[11, 1, 7, 7, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(0
< x,x < 1), And(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[3, 3], [-5, -5], [1/2, 1/2], [9, 9], [0, 0]]]], [[11, 1, 7
, 7, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < u^2
-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [1/2, 1/2], [9
, 9], [1528549/524288, 3057099/1048576]]]], [[11, 1, 7, 7, 5], [2^(1/2) < v, u
< -(v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) <
z], [regular_chain, [[3, 3], [-5, -5], [1/2, 1/2], [9, 9], [4, 4]]]], [[11, 5,
4, 9, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -1, u^2-v^2 < y, z
< -(y+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-\
1, -1], [2, 2], [-3, -3]]]], [[11, 5, 4, 9, 2], [2^(1/2) < v, And(-(v^2+1)^(1/
2) < u,u < -v), x = -1, u^2-v^2 < y, z = -(y+1)^(1/2)], [regular_chain, [[3, 3
], [-403851/131072, -403851/131072], [-1, -1], [2, 2], [-1816187/1048576, -\
3632373/2097152]]]], [[11, 5, 4, 9, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u
< -v), x = -1, u^2-v^2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1, -1], [2, 2], [-\
1/4194304, -1/4194304]]]], [[11, 5, 4, 9, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2)
< u,u < -v), x = -1, u^2-v^2 < y, z = (y+1)^(1/2)], [regular_chain, [[3, 3], [
-403851/131072, -403851/131072], [-1, -1], [2, 2], [908093/524288, 1816187/
1048576]]]], [[11, 5, 4, 9, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
x = -1, u^2-v^2 < y, (y+1)^(1/2) < z], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [-1, -1], [2, 2], [3, 3]]]], [[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 = 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], [-266003/1048576, -133001/
524288], [-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 = 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], [-266003/1048576, -133001/524288], [-735979/1048576, -\
1471957/2097152]]]], [[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 = u^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], [-266003/1048576, -133001/
524288], [-1/4194304, -1/4194304]]]], [[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 = 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], [-266003/1048576, -133001/524288], [367989/
524288, 735979/1048576]]]], [[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 = 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], [-266003/1048576, -133001/524288], [2, 2]]]], [[11, 
12, 9, 2, 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, 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(x < y,y < 0), z < -(y-x)^(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(x <
y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(
-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^
(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(x < y,y < 0), (y-x)^(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 < x, z = z], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [-2, -2], [0,
0]]]], [[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 < -1), z = z], [regular_chain, [[-3, -3], [0,
0], [-1, -1], [-5, -5], [0, 0]]]], [[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 = u^2-v^2+x+1, z = z], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-4, -4], [-\
9454681/2097152, -1181835/262144], [0, 0]]]], [[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(x-u^2+v^2+1 <
y,y < x), z = z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576
], [-4, -4], [-2226663/524288, -2226663/524288], [0, 0]]]], [[1, 20, 7, 2, 1],
[v < -2^(1/2), u = (v^2+2)^(1/2), And(0 < x,x < 1), y = x-1, z = z], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [1/2, 1/2], [-1/2
, -1/2], [0, 0]]]], [[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], [-650655/262144, -2602619/1048576], [-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], [-650655/262144, -\
2602619/1048576], [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], [-650655/262144, -2602619/1048576], [1, 1]]]], [[2, 5, 1, 3,
1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, And(x < y,y < x-u^2+3)
, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-3, -3], [-5740687/2097152, -5740687/
2097152], [-2, -2]]]], [[2, 5, 1, 3, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v
), x < -u^2+1, And(x < y,y < x-u^2+3), z = -(y-x)^(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, 3, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, And(
x < y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-3,
-3], [-5740687/2097152, -5740687/2097152], [0, 0]]]], [[2, 5, 1, 3, 4], [v = -
2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, And(x < y,y < x-u^2+3), z = (y-x
)^(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, 3, 5], [v = -2^(1/2), And(-3^(1/
2) < u,u < v), x < -u^2+1, And(x < y,y < x-u^2+3), (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-3, -3], [-5740687/2097152, -5740687/2097152], [2, 2]]]], [
[2, 7, 2, 7, 1], [v = -2^(1/2), And(v < u,u < -1), x = u^2-3, 0 < y, z < -(y-u
^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-3235683/2097152, -1617841/1048576], [1, 1], [-3,
-3]]]], [[2, 7, 2, 7, 2], [v = -2^(1/2), And(v < u,u < -1), x = u^2-3, 0 < y,
z = -(y-u^2+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, 7, 3], [v = -2^(1/2),
And(v < u,u < -1), x = u^2-3, 0 < y, And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+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, 7, 4], [v = -2^(1/2), And(v < u,u < -1), x = u^2-3,
0 < y, z = (y-u^2+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, 7, 5], [v =
-2^(1/2), And(v < u,u < -1), x = u^2-3, 0 < y, (y-u^2+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, 6, 1], [v = -2^(1/2), And(-1 < u,u < 0), x < u^2-3, y = x-u^2+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, 6, 2], [v = -2^(1/2), 
And(-1 < u,u < 0), x < u^2-3, y = x-u^2+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, 6, 3], [v = -2
^(1/2), And(-1 < u,u < 0), x < u^2-3, y = x-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], [-4, -4], [-5/4, -5/4], [-1/4194304, -1/4194304]]]], [[2, 9, 1, 6, 4],
[v = -2^(1/2), And(-1 < u,u < 0), x < u^2-3, y = x-u^2+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, 6, 5], [v = -2^(1
/2), And(-1 < u,u < 0), x < u^2-3, y = x-u^2+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, 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 < 0, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [1, 1], [-\
1, -1], [0, 0]]]], [[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 < x-u^2+v^2+1, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/
2097152], [-13, -13], [0, 0]]]], [[3, 2, 8, 7, 1], [And(-2^(1/2) < v,v < -1),
u = -(v^2+2)^(1/2), x = 1, 4 < y, z < -(y-1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [1,
1], [5, 5], [-3, -3]]]], [[3, 2, 8, 7, 2], [And(-2^(1/2) < v,v < -1), u = -(v^
2+2)^(1/2), x = 1, 4 < y, z = -(y-1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [1, 1], [5,
5], [-2, -2]]]], [[3, 2, 8, 7, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/
2), x = 1, 4 < y, 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, 7, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+
2)^(1/2), x = 1, 4 < y, z = (y-1)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3899297/2097152, -7798593/4194304], [1, 1], [5, 5], [2, 2
]]]], [[3, 2, 8, 7, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 1,
4 < y, (y-1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-3899297/2097152, -7798593/4194304], [1, 1], [5, 5], [3, 3]]]], [[3, 6, 7,
5, 1], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, And(x < y,y < x+1), z < -(y-x)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [2, 2], [5/2, 5/2], [-2, -2]]]], [[3, 6, 7, 5, 2],
[And(-2^(1/2) < v,v < -1), u = v, 1 < x, And(x < y,y < x+1), z = -(y-x)^(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, 5, 3], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, And(x < y,y < x+1),
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [5/2, 5/2], [0
, 0]]]], [[3, 6, 7, 5, 4], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, And(x < y,
y < x+1), z = (y-x)^(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, 5, 5], [And(-2^(1/2) < v,v < -1), u = v,
1 < x, And(x < y,y < x+1), (y-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [5/2
, 5/2], [2, 2]]]], [[3, 8, 8, 2, 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, 3, 3, 1], [v = -1, u < -3^(1/2), And(-u^2 < x,x < -1), And(x-u^2+2 < y,y <
x), z = z], [regular_chain, [[-1, -1], [-3, -3], [-5, -5], [-17/2, -17/2], [0,
0]]]], [[4, 2, 9, 2, 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, 7, 1, 2, 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, 2, 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, 2, 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, 8, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1]
, [v = -1, u = 3^(1/2), x = 0, 3 < y, z < -y^(1/2)], [regular_chain, [[-1, -1]
, [908093/524288, 1816187/1048576], [0, 0], [4, 4], [-3, -3]]]], [[4, 14, 6, 7
, 2], [v = -1, u = 3^(1/2), x = 0, 3 < y, z = -y^(1/2)], [regular_chain, [[-1,
-1], [908093/524288, 1816187/1048576], [0, 0], [4, 4], [-2, -2]]]], [[4, 14, 6
, 7, 3], [v = -1, u = 3^(1/2), x = 0, 3 < y, 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, 7, 4], [v = -1, u = 3^(1/2), x = 0, 3 < y, z = y^(1/2)],
[regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [0, 0], [4, 4], [
2, 2]]]], [[4, 14, 6, 7, 5], [v = -1, u = 3^(1/2), x = 0, 3 < y, y^(1/2) < z],
[regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [0, 0], [4, 4], [
3, 3]]]], [[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 < -(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, 8
, 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, 8, 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, 8, 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, 8, 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, 3, 1], [
And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, And(x < y,y
< x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-3, -3], [-2833519/1048576, -2833519/1048576], [-\
2, -2]]]], [[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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(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, 3, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+
v^2-1, And(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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,
3, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, And(
x < y,y < x-u^2+v^2+1), z = (y-x)^(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, 3, 5], [And(-1 < v,v
< 0), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, And(x < y,y < x-u^2+v^2+1
), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-3, -3], [-2833519/1048576, -2833519/1048576], [2, 2]]]], [
[5, 7, 1, 7, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x < u^2-v^2-1, And(x-u
^2+v^2+1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0],
[-3, -3], [-7/8, -7/8], [-3, -3]]]], [[5, 7, 1, 7, 2], [And(-1 < v,v < 0), And
(v < u,u < -v), x < u^2-v^2-1, And(x-u^2+v^2+1 < y,y < 0), z = -(y-x)^(1/2)],
[regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [-7/8, -7/8], [-764275/524288
, -1528549/1048576]]]], [[5, 7, 1, 7, 3], [And(-1 < v,v < 0), And(v < u,u < -v
), x < u^2-v^2-1, And(x-u^2+v^2+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [-7/8, -7/8], [0, 0]]
]], [[5, 7, 1, 7, 4], [And(-1 < v,v < 0), And(v < u,u < -v), x < u^2-v^2-1, 
And(x-u^2+v^2+1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [
0, 0], [-3, -3], [-7/8, -7/8], [1528549/1048576, 764275/524288]]]], [[5, 7, 1,
7, 5], [And(-1 < v,v < 0), And(v < u,u < -v), x < u^2-v^2-1, And(x-u^2+v^2+1 <
y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [
-7/8, -7/8], [3, 3]]]], [[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 = x, z < 0], [regular_chain, [[-1
/2, -1/2], [1696631/2097152, 1696631/2097152], [-2521309/2097152, -2521309/
2097152], [-1260655/1048576, -630327/524288], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [-2521309/2097152, -2521309/2097152], [-1260655/1048576, -630327/
524288], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-1/2,
-1/2], [1696631/2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152
], [-1260655/1048576, -630327/524288], [1, 1]]]], [[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 = 0, z <
-(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [
-4, -4], [0, 0], [-3, -3]]]], [[5, 11, 1, 8, 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, 8, 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, 8, 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, 8, 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, 6, 3, 1], [v = 0,
u < -2^(1/2), x = 0, And(-u^2+1 < y,y < 0), z = z], [regular_chain, [[0, 0], [
-3, -3], [0, 0], [-4, -4], [0, 0]]]], [[6, 3, 3, 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], [-1812519/1048576, -1812519/1048576], [-\
1812519/1048576, -1812519/1048576], [-1, -1]]]], [[6, 3, 3, 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], [-1812519/1048576, -1812519/
1048576], [-1812519/1048576, -1812519/1048576], [0, 0]]]], [[6, 3, 3, 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], [-1812519/
1048576, -1812519/1048576], [-1812519/1048576, -1812519/1048576], [1, 1]]]], [
[6, 9, 3, 3, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(-u^2-1 < x,x < -1), And(x
-u^2+1 < y,y < x), z = z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [-1812519/1048576, -1812519/1048576], [-1026087/524288, -1026087/
524288], [0, 0]]]], [[6, 10, 9, 2, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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(x-u^2+v^2+1 < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-2521309/
2097152, -2521309/2097152], [-1272471/4194304, -1272471/4194304], [-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(x-u^2+v^2+1 < y,y < 0), z = -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-2521309/
2097152, -2521309/2097152], [-1272471/4194304, -1272471/4194304], [-15906297/
16777216, -1988287/2097152]]]], [[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(x-u^2+v^2+1 < y,y < 0),
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631
/2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [-1272471/
4194304, -1272471/4194304], [-1/4194304, -1/4194304]]]], [[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(x-u^2+v^2+1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [-\
1272471/4194304, -1272471/4194304], [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(x-u^2+v^2+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1/2
, 1/2], [-1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/
2097152], [-1272471/4194304, -1272471/4194304], [2, 2]]]], [[8, 1, 8, 5, 1], [
v = 1, u < -3^(1/2), x = 1, And(0 < y,y < 1), 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, z < u], [regular_chain, [[1
, 1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2], [1035335/524288, 
2070671/1048576], [-3, -3]]]], [[8, 3, 5, 8, 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], [1035335/524288, 2070671/
1048576], [-1649549/1048576, -3299097/2097152]]]], [[8, 3, 5, 8, 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
], [1035335/524288, 2070671/1048576], [-1/4194304, -1/4194304]]]], [[8, 3, 5,
8, 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], [1035335/524288, 2070671/1048576], [412387/262144, 1649549/1048576]]]],
[[8, 3, 5, 8, 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], [1035335/524288, 2070671/1048576], [3, 3]]]], [[8, 7, 6, 2, 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, 2, 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, 2, 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, 5, 1], [v = 1, And(0
< u,u < 1), And(-1 < x,x < -u^2), And(u^2+x < y,y < 0), z < -(y-x)^(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(u^2+x <
y,y < 0), z = -(y-x)^(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(u^2+x < y,y < 0), And(-(y-x)^(1
/2) < z,z < (y-x)^(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(u^2+x < y,y < 0), z = (y-x)^(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(u^2+x < y,y < 0), (y-x)^(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 = x, z < 0], [regular_chain, [[1, 1], [
3, 3], [-5, -5], [-5, -5], [-1, -1]]]], [[8, 15, 3, 4, 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, 4, 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, 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(0 < y,y < x), z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [
494331/262144, 494331/262144], [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(u^2-v^2-1 < y,y < 0)
, z < -(y-u^2+v^2+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, 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(u^2
-v^2-1 < y,y < 0), z = -(y-u^2+v^2+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, 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(u^2-v^2-1 < y,y < 0), And(-(y-u^2
+v^2+1)^(1/2) < z,z < (y-u^2+v^2+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, 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(u^2-v^2-1 < y,y < 0), z = (y-u^2+v^2+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, 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(u^2-v^2-1 < y,y < 0), (y-u^2+v^2+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, 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 = 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, 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 = 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, 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 = 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, 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
= 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, 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 = 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, 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 < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [0, 0], [1288231/524288, 2576463/
1048576], [-3, -3]]]], [[9, 9, 6, 6, 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], [
1288231/524288, 2576463/1048576], [-410915/262144, -3287319/2097152]]]], [[9,
9, 6, 6, 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], [
1288231/524288, 2576463/1048576], [-1/4194304, -1/4194304]]]], [[9, 9, 6, 6, 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], [1288231/524288, 2576463/1048576], [1643659/
1048576, 410915/262144]]]], [[9, 9, 6, 6, 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], [
1288231/524288, 2576463/1048576], [3, 3]]]], [[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-u^2+v^2+
1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[987341/1048576, 987341/1048576], [-374737/524288, -374737/524288], [2, 2], [-\
3, -3]]]], [[9, 11, 5, 9, 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), x-u^2+v^2+1 < y, z = -(y-x)^(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, 9, 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), x-u^2+v^2+1 < y, And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-374737/524288, -374737/524288], [2, 2], [0,
0]]]], [[9, 11, 5, 9, 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), x-u^2+v^2+1 < y, z = (y-x)^(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, 9, 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), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-374737/524288, -374737/524288], [2, 2], [3, 3]]]], [[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 = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [0, 0], [-501965/2097152, -501965/
2097152], [0, 0]]]], [[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 < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10006449/2097152
, -10006449/2097152], [494331/131072, 3954649/1048576], [-4, -4]]]], [[9, 17,
3, 8, 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], [
494331/131072, 3954649/1048576], [-1532401/524288, -24518415/8388608]]]], [[9,
17, 3, 8, 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], [494331/131072, 3954649/1048576], [-7/16777216, -7/
16777216]]]], [[9, 17, 3, 8, 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], [494331/131072, 3954649/1048576], [3064801/1048576, 
1532401/524288]]]], [[9, 17, 3, 8, 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], [494331/131072, 3954649/1048576], [4, 4]]]], [[10, 5, 6,
7, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = u^2-3, 2*u^2-4 < y, z < -(y
-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [-275385/524288, -1101539/2097152], [2, 2], [-3, -\
3]]]], [[10, 5, 6, 7, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = u^2-3, 2
*u^2-4 < y, z = -(y-u^2+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, 7, 3],
[v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = u^2-3, 2*u^2-4 < y, And(-(y-u^2+3)
^(1/2) < z,z < (y-u^2+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [-275385/524288, -1101539/
2097152], [2, 2], [0, 0]]]], [[10, 5, 6, 7, 4], [v = 2^(1/2), And(-3^(1/2) < u
,u < -v), x = u^2-3, 2*u^2-4 < y, z = (y-u^2+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, 7, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = u^2-3, 2*u^2-4
< y, (y-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[-6598195/4194304, -6598195/4194304], [-275385/524288, -1101539/2097152], [2,
2], [3, 3]]]], [[10, 7, 7, 8, 1], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1
< x,x < 0), y = x-u^2+3, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-239655/1048576, -\
239655/1048576], [689093/524288, 1378187/1048576], [-3, -3]]]], [[10, 7, 7, 8,
2], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), y = x-u^2+3, z =
-(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743
/1048576, -1265743/1048576], [-239655/1048576, -239655/1048576], [689093/
524288, 1378187/1048576], [-1302471/1048576, -651235/524288]]]], [[10, 7, 7, 8
, 3], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), y = x-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], [-239655/1048576, -\
239655/1048576], [689093/524288, 1378187/1048576], [0, 0]]]], [[10, 7, 7, 8, 4
], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), y = x-u^2+3, z = (
-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-239655/1048576, -239655/1048576], [689093/524288
, 1378187/1048576], [651235/524288, 1302471/1048576]]]], [[10, 7, 7, 8, 5], [v
= 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), y = x-u^2+3, (-u^2+3)^(1
/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576
, -1265743/1048576], [-239655/1048576, -239655/1048576], [689093/524288, 
1378187/1048576], [3, 3]]]], [[10, 11, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 13, 3, 9, 1], [v = 2^(1/2), And(1 < u
,u < v), And(u^2-3 < x,x < -1), x-u^2+3 < y, z < -(y-x)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-\
2666417/2097152, -2666417/2097152], [2, 2], [-3, -3]]]], [[10, 13, 3, 9, 2], [
v = 2^(1/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), x-u^2+3 < y, z = -(y-x)^
(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, 9, 3], [v = 2^(1/2), And(1 < u,u < v
), And(u^2-3 < x,x < -1), x-u^2+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-2666417/2097152, -2666417/2097152], [2, 2], [0, 0]]]], [[10, 13, 3
, 9, 4], [v = 2^(1/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), x-u^2+3 < y, z
= (y-x)^(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, 9, 5], [v = 2^(1/2), And(1 <
u,u < v), And(u^2-3 < x,x < -1), x-u^2+3 < y, (y-x)^(1/2) < z], [regular_chain
, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-\
2666417/2097152, -2666417/2097152], [2, 2], [3, 3]]]], [[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 = x
-u^2+v^2+1, z = z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [-1/2, -1/2], [-133418519/134217728, -66709259/67108864], [0, 0]]]],
[[11, 5, 4, 5, 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 < -(y+1)^(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(-u^2+v^2 < y,y < 0), z = -(y+1)^(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(-u^2+v^2 < y,y < 0), And(-(y+1)^(1/2) <
z,z < (y+1)^(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(-u
^2+v^2 < y,y < 0), z = (y+1)^(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(-u^2+v^2 < y,y < 0), (y+1)^(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 = z], [regular_chain,
[[3, 3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2], [-3, -3], [0, 0
]]]], [[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 = 2, z < -1]
, [regular_chain, [[3, 3], [3, 3], [1, 1], [2, 2], [-2, -2]]]], [[11, 16, 6, 6
, 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, 6, 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, 6, 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, 6, 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, 7, 1], [2^(1/2) < v, u = (v^2+1)^(1/2),
And(0 < x,x < 1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [207243
/65536, 3315889/1048576], [1/2, 1/2], [4, 4], [-3, -3]]]], [[11, 18, 7, 7, 2],
[2^(1/2) < v, u = (v^2+1)^(1/2), And(0 < x,x < 1), x+2 < y, z = -(y-x)^(1/2)],
[regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [1/2, 1/2], [4, 4],
[-7846825/4194304, -980853/524288]]]], [[11, 18, 7, 7, 3], [2^(1/2) < v, u = (
v^2+1)^(1/2), And(0 < x,x < 1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [1/2, 1/2], [4, 4
], [0, 0]]]], [[11, 18, 7, 7, 4], [2^(1/2) < v, u = (v^2+1)^(1/2), And(0 < x,x
< 1), x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 
3315889/1048576], [1/2, 1/2], [4, 4], [980853/524288, 1961707/1048576]]]], [[
11, 18, 7, 7, 5], [2^(1/2) < v, u = (v^2+1)^(1/2), And(0 < x,x < 1), x+2 < y,
(y-x)^(1/2) < z], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [1
/2, 1/2], [4, 4], [3, 3]]]], [[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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-5, -5], [8, 8], [33/2, 33/2], [-4, -4]]]], [[1, 1,
9, 7, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(x <
y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [8
, 8], [33/2, 33/2], [-24456785/8388608, -1528549/524288]]]], [[1, 1, 9, 7, 3],
[v < -2^(1/2), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(x < y,y < u^2
-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3],
[-5, -5], [8, 8], [33/2, 33/2], [0, 0]]]], [[1, 1, 9, 7, 4], [v < -2^(1/2), u
< -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(x < y,y < u^2-v^2+x+1), z = (y
-x)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [8, 8], [33/2, 33/2], [
1528549/524288, 3057099/1048576]]]], [[1, 1, 9, 7, 5], [v < -2^(1/2), u < -(v^
2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(x < y,y < u^2-v^2+x+1), (y-x)^(1/2)
< z], [regular_chain, [[-3, -3], [-5, -5], [8, 8], [33/2, 33/2], [4, 4]]]], [[
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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [0, 0], [653799/262144, 2615197/1048576],
[-3, -3]]]], [[1, 3, 6, 6, 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], [653799/262144, 2615197/
1048576], [-1655969/1048576, -3311937/2097152]]]], [[1, 3, 6, 6, 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], [653799/262144, 2615197/1048576],
[-1/4194304, -1/4194304]]]], [[1, 3, 6, 6, 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], [
653799/262144, 2615197/1048576], [51749/32768, 1655969/1048576]]]], [[1, 3, 6,
6, 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], [653799/262144, 2615197/1048576], [3, 3]]]], [[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 = 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], [
129143/524288, 258287/1048576], [-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 = 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], [129143/524288, 258287/1048576],
[-735979/1048576, -1471957/2097152]]]], [[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 = u^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], [
129143/524288, 258287/1048576], [-1/4194304, -1/4194304]]]], [[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 = 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], [129143/524288
, 258287/1048576], [367989/524288, 735979/1048576]]]], [[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 = 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], [129143/524288, 258287/
1048576], [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 = z], [regular_chain, [[
-3, -3], [-22960369/8388608, -22960369/8388608], [0, 0], [-1066071/4194304, -\
1066071/4194304], [0, 0]]]], [[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 < x, z = z], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-3, -3], [-4, -4], [0, 0]]]], [[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(x-u^2
+v^2+1 < y,y < u^2-v^2+x+1), z < -(y-x)^(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(x-u^2+v^
2+1 < y,y < u^2-v^2+x+1), z = -(y-x)^(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(x-u^2+v^
2+1 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = (y-x)^(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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), (y-x)^(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(x < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [3477733
/1048576, 1738867/524288], [1/2, 1/2], [2, 2], [-3, -3]]]], [[1, 20, 7, 7, 2],
[v < -2^(1/2), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), z = -(
y-x)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [1/
2, 1/2], [2, 2], [-1284239/1048576, -642119/524288]]]], [[1, 20, 7, 7, 3], [v
< -2^(1/2), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), And(-(y-x
)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [3477733/1048576, 
1738867/524288], [1/2, 1/2], [2, 2], [0, 0]]]], [[1, 20, 7, 7, 4], [v < -2^(1/
2), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), z = (y-x)^(1/2)],
[regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [1/2, 1/2], [2,
2], [642119/524288, 1284239/1048576]]]], [[1, 20, 7, 7, 5], [v < -2^(1/2), u =
(v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [1/2, 1/2], [2, 2
], [3, 3]]]], [[2, 1, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 = 2, z < -2^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [0, 0], [2
, 2], [-3, -3]]]], [[2, 12, 6, 4, 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, 4, 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, 4, 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, 4, 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, 7, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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
, 9, 1], [v = -2^(1/2), u = 2, x = -1, 2 < y, z < -(y+1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1, -1], [3, 3],
[-3, -3]]]], [[2, 18, 4, 9, 2], [v = -2^(1/2), u = 2, x = -1, 2 < y, z = -(y+1
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1, -1
], [3, 3], [-2, -2]]]], [[2, 18, 4, 9, 3], [v = -2^(1/2), u = 2, x = -1, 2 < y
, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [2, 2], [-1, -1], [3, 3], [0, 0]]]], [[2, 18, 4, 9, 4], [v =
-2^(1/2), u = 2, x = -1, 2 < y, z = (y+1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [2, 2], [-1, -1], [3, 3], [2, 2]]]], [[2, 18, 4, 9,
5], [v = -2^(1/2), u = 2, x = -1, 2 < y, (y+1)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [-1, -1], [3, 3], [3, 3]]]], [[3, 4,
8, 3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = 1, And(0 < y,y <
1), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/
262144, -3287319/2097152], [1, 1], [1/2, 1/2], [0, 0]]]], [[3, 6, 6, 7, 1], [
And(-2^(1/2) < v,v < -1), u = v, x = 1, 2 < y, z < -(y-1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [1, 1], [3, 3], [-3, -3]]]], [[3, 6, 6, 7, 2], [And(-2^(1/2)
< v,v < -1), u = v, x = 1, 2 < y, 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, 7, 3], [And(-2^(
1/2) < v,v < -1), u = v, x = 1, 2 < y, 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, 7, 4], [And(-2^(1/2) <
v,v < -1), u = v, x = 1, 2 < y, 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, 7, 5], [And(-2^(1/2) < v,v
< -1), u = v, x = 1, 2 < y, (y-1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [3,
3], [3, 3]]]], [[3, 10, 7, 7, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2)
, And(0 < x,x < 1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/2], [4, 4
], [-3, -3]]]], [[3, 10, 7, 7, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2
), And(0 < x,x < 1), x+2 < y, z = -(y-x)^(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, 7, 3], [And(-2^(1/2) < v
,v < -1), u = (v^2-1)^(1/2), And(0 < x,x < 1), x+2 < y, And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
354469/524288, 708939/1048576], [1/2, 1/2], [4, 4], [0, 0]]]], [[3, 10, 7, 7,
4], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(0 < x,x < 1), x+2 < y, z
= (y-x)^(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, 7, 5], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(0 <
x,x < 1), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/2], [4, 4], [3, 3]]
]], [[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 = 0, z = z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [1, 1
], [0, 0], [0, 0]]]], [[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-1 < y,y < x), z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-1/2, -1
/2], [-1, -1], [0, 0]]]], [[4, 2, 9, 9, 1], [v = -1, u = -3^(1/2), 1 < x, x+3
< y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373
/2097152], [2, 2], [6, 6], [-3, -3]]]], [[4, 2, 9, 9, 2], [v = -1, u = -3^(1/2
), 1 < x, x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1816187/
1048576, -3632373/2097152], [2, 2], [6, 6], [-2, -2]]]], [[4, 2, 9, 9, 3], [v
= -1, u = -3^(1/2), 1 < x, x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [2, 2], [6, 6]
, [0, 0]]]], [[4, 2, 9, 9, 4], [v = -1, u = -3^(1/2), 1 < x, x+3 < y, z = (y-x
)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [2,
2], [6, 6], [2, 2]]]], [[4, 2, 9, 9, 5], [v = -1, u = -3^(1/2), 1 < x, x+3 < y
, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/
2097152], [2, 2], [6, 6], [3, 3]]]], [[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(x < y,y < x-u^2+2), z < -(y-x)^(1/2)], [regular_chain,
[[-1, -1], [1265743/1048576, 1265743/1048576], [-3, -3], [-5722191/2097152, -\
5722191/2097152], [-2, -2]]]], [[4, 11, 1, 3, 2], [v = -1, And(1 < u,u < 2^(1/
2)), x < -u^2, And(x < y,y < x-u^2+2), z = -(y-x)^(1/2)], [regular_chain, [[-1
, -1], [1265743/1048576, 1265743/1048576], [-3, -3], [-5722191/2097152, -\
5722191/2097152], [-273157/524288, -1092627/2097152]]]], [[4, 11, 1, 3, 3], [v
= -1, And(1 < u,u < 2^(1/2)), x < -u^2, And(x < y,y < x-u^2+2), And(-(y-x)^(1/
2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [1265743/1048576, 1265743
/1048576], [-3, -3], [-5722191/2097152, -5722191/2097152], [-1/4194304, -1/
4194304]]]], [[4, 11, 1, 3, 4], [v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, And
(x < y,y < x-u^2+2), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-3, -3], [-5722191/2097152, -5722191/2097152], [
546313/1048576, 273157/524288]]]], [[4, 11, 1, 3, 5], [v = -1, And(1 < u,u < 2
^(1/2)), x < -u^2, And(x < y,y < x-u^2+2), (y-x)^(1/2) < z], [regular_chain, [
[-1, -1], [1265743/1048576, 1265743/1048576], [-3, -3], [-5722191/2097152, -\
5722191/2097152], [2, 2]]]], [[4, 12, 8, 7, 1], [v = -1, u = 2^(1/2), x = 1, 3
< y, z < -(y-1)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [1, 1], [4, 4], [-3, -3]]]], [[4, 12, 8, 7, 2], [v = -1, u = 2^(1/2)
, x = 1, 3 < y, z = -(y-1)^(1/2)], [regular_chain, [[-1, -1], [741455/524288,
1482911/1048576], [1, 1], [4, 4], [-1816187/1048576, -3632373/2097152]]]], [[4
, 12, 8, 7, 3], [v = -1, u = 2^(1/2), x = 1, 3 < y, 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, 7, 4], [v = -1, u = 2^(1/
2), x = 1, 3 < y, z = (y-1)^(1/2)], [regular_chain, [[-1, -1], [741455/524288,
1482911/1048576], [1, 1], [4, 4], [908093/524288, 1816187/1048576]]]], [[4, 12
, 8, 7, 5], [v = -1, u = 2^(1/2), x = 1, 3 < y, (y-1)^(1/2) < z], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [1, 1], [4, 4], [3
, 3]]]], [[5, 1, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(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(x < y
,y < u^2-v^2+x+1), z = -(y-x)^(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(x < y,y < u^2-v^2+x
+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2-v^2+x+1), z = (y-x)^(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(x < y,y < u^2-v^2+x+1), (y-x)^(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 = 4, z < -3^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2
], [1, 1], [4, 4], [-3, -3]]]], [[5, 12, 8, 6, 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, 6,
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, 6, 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, 6, 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, 5, 1], [v = 0, u
< -2^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z =
-(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y
-x)^(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 = x, z < 0], [regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8], [-9/8, -\
9/8], [-1, -1]]]], [[6, 5, 3, 2, 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, 2, 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, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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
, 7, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 0, u^2-v^2+1 < y, z < -y^(
1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [0, 0], [11, 11], [-5, -5]]]], [
[7, 1, 6, 7, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 0, u^2-v^2+1 < y,
z = -y^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [0, 0], [11, 11], [-\
1738867/524288, -3477733/1048576]]]], [[7, 1, 6, 7, 3], [And(0 < v,v < 1), u <
-(v^2+2)^(1/2), x = 0, u^2-v^2+1 < y, 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,
7, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 0, u^2-v^2+1 < y, z = y^(1/2
)], [regular_chain, [[1/2, 1/2], [-3, -3], [0, 0], [11, 11], [3477733/1048576,
1738867/524288]]]], [[7, 1, 6, 7, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x
= 0, u^2-v^2+1 < y, y^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3, -3], [0, 0
], [11, 11], [5, 5]]]], [[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 < -(
u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [-1815885/1048576, -1815885/1048576], [767309/1048576, 383655/524288]
, [-3, -3]]]], [[7, 3, 3, 8, 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], [767309/1048576, 383655/524288], [-3291611
/2097152, -1645805/1048576]]]], [[7, 3, 3, 8, 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], [
767309/1048576, 383655/524288], [0, 0]]]], [[7, 3, 3, 8, 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], [767309/1048576
, 383655/524288], [1645805/1048576, 822903/524288]]]], [[7, 3, 3, 8, 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], [767309
/1048576, 383655/524288], [3, 3]]]], [[7, 7, 4, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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(x < y
,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [-2097153/
4194304, -2097153/4194304], [-2, -2]]]], [[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(x < y,y < x-u^2+v
^2+1), z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-1672995/2097152, -1672995/2097152], [-2097153/4194304, -\
2097153/4194304], [-1144335/2097152, -572167/1048576]]]], [[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
(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1672995/
2097152, -1672995/2097152], [-2097153/4194304, -2097153/4194304], [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(x < y,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[
1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/
2097152], [-2097153/4194304, -2097153/4194304], [572167/1048576, 71521/131072]
]]], [[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(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1672995/
2097152, -1672995/2097152], [-2097153/4194304, -2097153/4194304], [2, 2]]]], [
[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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [
343151/262144, 343151/262144], [-1, -1], [767309/524288, 1534619/1048576], [-3
, -3]]]], [[7, 11, 4, 8, 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], [767309/524288, 1534619/
1048576], [-3291611/2097152, -1645805/1048576]]]], [[7, 11, 4, 8, 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], [767309/524288, 1534619/1048576], [0,
0]]]], [[7, 11, 4, 8, 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], [767309/524288, 1534619/1048576
], [1645805/1048576, 822903/524288]]]], [[7, 11, 4, 8, 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]
, [767309/524288, 1534619/1048576], [3, 3]]]], [[7, 13, 2, 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 = z], [
regular_chain, [[1/2, 1/2], [3, 3], [-39/4, -39/4], [-35/2, -35/2], [0, 0]]]],
[[8, 3, 5, 9, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), u
^2+x < y, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [-1/2, -1/2], [3, 3], [-3, -3]]]], [[8, 3, 5, 9, 2], [v = 1,
And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), u^2+x < y, z = -(y-x)^(1/2)
], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2]
, [3, 3], [-7846825/4194304, -980853/524288]]]], [[8, 3, 5, 9, 3], [v = 1, And
(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), u^2+x < y, And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [-1/2, -1/2], [3, 3], [0, 0]]]], [[8, 3, 5, 9, 4], [v = 1, And(-3^(1
/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), u^2+x < y, z = (y-x)^(1/2)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2], [3
, 3], [980853/524288, 1961707/1048576]]]], [[8, 3, 5, 9, 5], [v = 1, And(-3^(1
/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), u^2+x < y, (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2], [3
, 3], [3, 3]]]], [[8, 5, 5, 3, 1], [v = 1, And(-2^(1/2) < u,u < -1), And(-1 <
x,x < u^2-2), And(x < y,y < x-u^2+2), z < -(y-x)^(1/2)], [regular_chain, [[1,
1], [-1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304]
, [-4194307/8388608, -4194307/8388608], [-2, -2]]]], [[8, 5, 5, 3, 2], [v = 1,
And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), And(x < y,y < x-u^2+2), z = -
(y-x)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [
-3235683/4194304, -3235683/4194304], [-4194307/8388608, -4194307/8388608], [-\
273157/524288, -1092627/2097152]]]], [[8, 5, 5, 3, 3], [v = 1, And(-2^(1/2) <
u,u < -1), And(-1 < x,x < u^2-2), And(x < y,y < x-u^2+2), And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-3235683/4194304, -3235683/4194304], [-4194307/8388608, -4194307/
8388608], [-1/4194304, -1/4194304]]]], [[8, 5, 5, 3, 4], [v = 1, And(-2^(1/2)
< u,u < -1), And(-1 < x,x < u^2-2), And(x < y,y < x-u^2+2), z = (y-x)^(1/2)],
[regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3235683/
4194304, -3235683/4194304], [-4194307/8388608, -4194307/8388608], [546313/
1048576, 273157/524288]]]], [[8, 5, 5, 3, 5], [v = 1, And(-2^(1/2) < u,u < -1)
, And(-1 < x,x < u^2-2), And(x < y,y < x-u^2+2), (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3235683/
4194304, -3235683/4194304], [-4194307/8388608, -4194307/8388608], [2, 2]]]], [
[8, 11, 6, 5, 1], [v = 1, And(1 < u,u < 2^(1/2)), x = u^2-2, And(0 < y,y < 2*u
^2-2), z < -(y-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-1138531/2097152, -569265/1048576], [958621/2097152, 958621
/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 < 2*u^2-2), z = -(y-u^2+2)^(1/2)], [regular_chain, [[1, 1],
[1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576], [
958621/2097152, 958621/2097152], [-2199023028127/2199023255552, -8796092112507
/8796093022208]]]], [[8, 11, 6, 5, 3], [v = 1, And(1 < u,u < 2^(1/2)), x = u^2
-2, And(0 < y,y < 2*u^2-2), And(-(y-u^2+2)^(1/2) < z,z < (y-u^2+2)^(1/2))], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1138531/2097152,
-569265/1048576], [958621/2097152, 958621/2097152], [-7478907/17592186044416,
-7478907/17592186044416]]]], [[8, 11, 6, 5, 4], [v = 1, And(1 < u,u < 2^(1/2))
, x = u^2-2, And(0 < y,y < 2*u^2-2), z = (y-u^2+2)^(1/2)], [regular_chain, [[1
, 1], [1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576],
[958621/2097152, 958621/2097152], [1048575/1048576, 1]]]], [[8, 11, 6, 5, 5],
[v = 1, And(1 < u,u < 2^(1/2)), x = u^2-2, And(0 < y,y < 2*u^2-2), (y-u^2+2)^(
1/2) < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-\
1138531/2097152, -569265/1048576], [958621/2097152, 958621/2097152], [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, z < -u], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152
], [-1/2, -1/2], [2070669/1048576, 1035335/524288], [-3, -3]]]], [[8, 13, 5, 8
, 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]
, [2070669/1048576, 1035335/524288], [-3299097/2097152, -3299097/2097152]]]],
[[8, 13, 5, 8, 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], [2070669/1048576, 1035335/524288], [-1/4194304
, -1/4194304]]]], [[8, 13, 5, 8, 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], [2070669/1048576, 1035335/524288], [412387/
262144, 1649549/1048576]]]], [[8, 13, 5, 8, 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], [2070669/1048576, 1035335/
524288], [3, 3]]]], [[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 = x, z < 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [
494331/131072, 3954649/1048576], [-1, -1]]]], [[9, 1, 9, 6, 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], [494331/131072, 3954649/1048576], [0, 0]]]], [[9, 1, 9, 6,
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], [494331/131072, 3954649/1048576], [1, 1]]]]
, [[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 = x-u^2+v^2+1, z = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [
501965/2097152, 501965/2097152], [-31373/131072, -250983/1048576], [0, 0]]]],
[[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 < x, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [-139585/524288, -139585
/524288], [-2, -2], [0, 0]]]], [[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 = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [0, 0], [-250983/524288, -501965/1048576], [0, 0]]]], [[10, 1, 9, 9,
1], [v = 2^(1/2), u < -2, And(1 < x,x < u^2-3), u^2+x-1 < y, z < -(y-x)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [7/2, 7/2], [13
, 13], [-5, -5]]]], [[10, 1, 9, 9, 2], [v = 2^(1/2), u < -2, And(1 < x,x < u^2
-3), u^2+x-1 < y, z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [7/2, 7/2], [13, 13], [-3231929/1048576, -403991/131072]]]
], [[10, 1, 9, 9, 3], [v = 2^(1/2), u < -2, And(1 < x,x < u^2-3), u^2+x-1 < y,
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [7/2, 7/2], [13, 13], [0, 0]]]], [[10, 1, 9, 9, 4]
, [v = 2^(1/2), u < -2, And(1 < x,x < u^2-3), u^2+x-1 < y, z = (y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [7/2, 7/2], [13, 
13], [403991/131072, 3231929/1048576]]]], [[10, 1, 9, 9, 5], [v = 2^(1/2), u <
-2, And(1 < x,x < u^2-3), u^2+x-1 < y, (y-x)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [7/2, 7/2], [13, 13], [5, 5]]]], [[
10, 3, 7, 5, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3),
And(0 < y,y < x), 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-1, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1/2, -1/2], [3/8, 3/8], [-3/8, -3/8], [0, 0
]]]], [[10, 11, 4, 5, 1], [v = 2^(1/2), And(0 < u,u < 1), x = -1, And(-1 < y,y
< 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)
^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = u^2-2, z < -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-1, -1], [497805/1048576, 248903/524288], [-3, -3]]]], [[10, 15, 4,
8, 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], [497805/1048576, 248903/524288], [-1273381/1048576
, -318345/262144]]]], [[10, 15, 4, 8, 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], [497805/1048576, 248903/524288], [0, 0]]]], [[10, 15, 4, 8
, 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], [497805/1048576, 248903/524288], [318345/262144, 
1273381/1048576]]]], [[10, 15, 4, 8, 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], [497805/
1048576, 248903/524288], [3, 3]]]], [[10, 17, 4, 2, 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], [-388511/
262144, -1554043/1048576], [0, 0]]]], [[10, 19, 1, 5, 1], [v = 2^(1/2), 2 < u,
x < -u^2+1, And(x < y,y < u^2+x-1), z < -(y-x)^(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(x < y,y < u^2+x-1), z = -
(y-x)^(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(x < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y <
u^2+x-1), z = (y-x)^(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(x < y,y < u^2+x-1), (y-x)^(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 < -(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, 8, 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, 8, 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, 8, 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, 8, 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, 4, 8, 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], [-3, -3]]]], [[11, 5
, 4, 8, 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], [-1281417/1048576, -160177/
131072]]]], [[11, 5, 4, 8, 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], [0, 0]]]], [[11, 5, 4, 8, 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], [160177/131072, 1281417/1048576]]]], [[11, 5, 4, 8, 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], [3, 3]]]], [[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(0 < y,y < x
-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-391287/524288, -391287/524288], [399003/1048576, 399003/
1048576], [-3, -3]]]], [[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(0 < y,y < x-u^2+v^2+1), z = -(y-x)^(
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, 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(0 < y,y < x-u^2+v^2+1), And(-(y-x)^(1/
2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549
/2097152], [-391287/524288, -391287/524288], [399003/1048576, 399003/1048576],
[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(0 < y,y < x-u^2+v^2+1), z = (y-x)^(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, 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(0 < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-391287/524288,
-391287/524288], [399003/1048576, 399003/1048576], [3, 3]]]], [[11, 12, 8, 6,
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, 6, 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, 6, 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, 6, 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, 6, 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
, 5, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2)
, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576]
, [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[11, 14, 7, 5, 2], [2^(1/2) < v, u = (
v^2-1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [1/2, 1/2], [3/2, 3/
2], [-1, -1]]]], [[11, 14, 7, 5, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), And(0 <
x,x < 1), And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [1/2, 1/2], [3/2, 3/
2], [0, 0]]]], [[11, 14, 7, 5, 4], [2^(1/2) < v, u = (v^2-1)^(1/2), And(0 < x,
x < 1), And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [741455
/262144, 2965821/1048576], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[11, 14, 7, 5,
5], [2^(1/2) < v, u = (v^2-1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), (y-
x)^(1/2) < z], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [1/2
, 1/2], [3/2, 3/2], [2, 2]]]], [[11, 18, 8, 3, 1], [2^(1/2) < v, u = (v^2+1)^(
1/2), x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[3, 3], [207243/65536,
3315889/1048576], [1, 1], [1/2, 1/2], [0, 0]]]], [[11, 20, 5, 8, 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, 8, 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, 8, 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, 8, 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, 8,
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, 3, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u <
v), x = u^2-v^2-1, And(u^2-v^2-1 < y,y < 0), z < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-531193/1048576,
-1062385/2097152], [-1062385/4194304, -1062385/4194304], [-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(u^2
-v^2-1 < y,y < 0), z = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-531193/1048576, -1062385/2097152], [-1062385
/4194304, -1062385/4194304], [-1055459/2097152, -527729/1048576]]]], [[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(u^2-
v^2-1 < y,y < 0), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-531193/1048576,
-1062385/2097152], [-1062385/4194304, -1062385/4194304], [0, 0]]]], [[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(u^2-v^
2-1 < y,y < 0), z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-531193/1048576, -1062385/2097152], [-1062385/
4194304, -1062385/4194304], [527729/1048576, 263865/524288]]]], [[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(u^2-v^2-1
< y,y < 0), (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-531193/1048576, -1062385/2097152], [-1062385/
4194304, -1062385/4194304], [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, -2*u^2+2*v^2 < y, 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, 7, 2], [v < -
2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, -2*u^2+2*v^2 < y, 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, 7, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), x = -u^2+v^2-1, -2*u^2+2*v^2 < y, 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, 7, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v
^2-1, -2*u^2+2*v^2 < y, 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, 7, 5], [v < -2^(1/2), And(v
< u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, -2*u^2+2*v^2 < y, (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, 4, 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, 4,
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, 4, 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, 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(u^2-v^2+x+1 < y,y < x), z = z], [regular_chain, [[-\
3, -3], [1435023/524288, 1435023/524288], [-4, -4], [-2230411/524288, -2230411
/524288], [0, 0]]]], [[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 = x-u^2+v^2+1, z = z], [regular_chain, [[-\
3, -3], [3396811/1048576, 3396811/1048576], [-4, -4], [-4712349/1048576, -\
1178087/262144], [0, 0]]]], [[1, 20, 7, 1, 1], [v < -2^(1/2), u = (v^2+2)^(1/2
), And(0 < x,x < 1), y < x-1, z = z], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [1/2, 1/2], [-2, -2], [0, 0]]]], [[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 < 0), 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, 5, 2], [v = -2^(1/
2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, And(-u^2+1 < y,y < 0), 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, 5, 3
], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, And(-u^2+1 < y,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], [-2602619/2097152, -2602619/2097152], [0, 0]]]], [[
2, 3, 2, 5, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, And(-u^2+
1 < y,y < 0), 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, 5, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2
+1, And(-u^2+1 < y,y < 0), (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, 4, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, y = x-u^2+
3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-6598195/4194304, -6598195/4194304], [-3, -3], [-2594959/1048576, -1297479/
524288], [-2, -2]]]], [[2, 5, 1, 4, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v)
, x < -u^2+1, y = x-u^2+3, z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-3, -3], [-\
2594959/1048576, -1297479/524288], [-379975/524288, -1519899/2097152]]]], [[2,
5, 1, 4, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, y = x-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], [-3, -3], [-\
2594959/1048576, -1297479/524288], [-1/4194304, -1/4194304]]]], [[2, 5, 1, 4,
4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, y = x-u^2+3, z = (-u^2
+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-3, -3], [-2594959/1048576, -1297479/524288], [
759949/1048576, 379975/524288]]]], [[2, 5, 1, 4, 5], [v = -2^(1/2), And(-3^(1/
2) < u,u < v), x < -u^2+1, y = x-u^2+3, (-u^2+3)^(1/2) < z], [regular_chain, [
[-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-3,
-3], [-2594959/1048576, -1297479/524288], [2, 2]]]], [[2, 7, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = -2^(1/2)
, And(-1 < u,u < 0), x < u^2-3, And(x < y,y < x-u^2+3), z < -(y-x)^(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(x < y,y < x-u^2+3), z = -(y-x)^(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(x < y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < x-u^2+3), z = (y-x)^(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(x < y,y < x-u^2+3), (y-x)^(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 < x+2), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1, 1], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[2, 12, 7, 5, 2], [v =
-2^(1/2), u = 1, And(0 < x,x < 1), And(x < y,y < x+2), z = -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [1/2, 1/2], [3/2,
3/2], [-1, -1]]]], [[2, 12, 7, 5, 3], [v = -2^(1/2), u = 1, And(0 < x,x < 1),
And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
-1482911/1048576, -741455/524288], [1, 1], [1/2, 1/2], [3/2, 3/2], [0, 0]]]],
[[2, 12, 7, 5, 4], [v = -2^(1/2), u = 1, And(0 < x,x < 1), And(x < y,y < x+2),
z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1],
[1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[2, 12, 7, 5, 5], [v = -2^(1/2), u = 1, 
And(0 < x,x < 1), And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [
[2, 14, 6, 2, 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, 2, 7, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(
1/2), x = -u^2+v^2-1, 0 < y, 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, 7, 2], [And(-2^(1/2) < v,v < -1), u
< -(v^2+2)^(1/2), x = -u^2+v^2-1, 0 < y, 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, 7, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, 0
< y, 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, 7, 4], [And(-2^(1/2) < v,v < -1), u <
-(v^2+2)^(1/2), x = -u^2+v^2-1, 0 < y, 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, 7, 5], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, 0 < y
, (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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 7, 6, 1], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, y = x+1, z < -\
1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576,
-1265743/1048576], [2, 2], [3, 3], [-2, -2]]]], [[3, 6, 7, 6, 2], [And(-2^(1/2
) < v,v < -1), u = v, 1 < x, y = x+1, z = -1], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [3,
3], [-1, -1]]]], [[3, 6, 7, 6, 3], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, y
= x+1, And(-1 < z,z < 1)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [3, 3], [0, 0]]]], [[3
, 6, 7, 6, 4], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, y = x+1, z = 1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [3, 3], [1, 1]]]], [[3, 6, 7, 6, 5], [And(-2^(1/2) <
v,v < -1), u = v, 1 < x, y = x+1, 1 < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [3, 3], [2, 2
]]]], [[3, 8, 8, 3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 1,
And(0 < y,y < 1), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-1417877/2097152, -354469/524288], [1, 1], [1/2, 1/2], [0, 0]]]], [[4, 1,
3, 4, 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
, 4, 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,
4, 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, 9,
3, 1], [v = -1, u = -3^(1/2), 1 < x, And(0 < y,y < x-1), z = z], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [2, 2], [1/2,
1/2], [0, 0]]]], [[4, 7, 1, 1, 1], [v = -1, And(-1 < u,u < 0), x < u^2-2, y <
x, z = z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3], [-4, -4], [0, 0]
]]], [[4, 8, 8, 5, 1], [v = -1, u = 0, x = 1, And(1 < y,y < 3), z < -(y-1)^(1/
2)], [regular_chain, [[-1, -1], [0, 0], [1, 1], [2, 2], [-2, -2]]]], [[4, 8, 8
, 5, 2], [v = -1, u = 0, x = 1, And(1 < y,y < 3), z = -(y-1)^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [1, 1], [2, 2], [-1, -1]]]], [[4, 8, 8, 5, 3
], [v = -1, u = 0, x = 1, And(1 < y,y < 3), 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,
5, 4], [v = -1, u = 0, x = 1, And(1 < y,y < 3), z = (y-1)^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [1, 1], [2, 2], [1, 1]]]], [[4, 8, 8, 5, 5],
[v = -1, u = 0, x = 1, And(1 < y,y < 3), (y-1)^(1/2) < z], [regular_chain, [[-\
1, -1], [0, 0], [1, 1], [2, 2], [2, 2]]]], [[4, 14, 7, 1, 1], [v = -1, u = 3^(
1/2), And(0 < x,x < 1), y < x-1, z = z], [regular_chain, [[-1, -1], [908093/
524288, 1816187/1048576], [1/2, 1/2], [-2, -2], [0, 0]]]], [[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 < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8, -43/8
], [6, 6], [-5, -5]]]], [[5, 1, 3, 9, 2], [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 = -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8, -43/8], [6, 6], [-884129/
262144, -3536515/1048576]]]], [[5, 1, 3, 9, 3], [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, And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8, -43/8], [6,
6], [0, 0]]]], [[5, 1, 3, 9, 4], [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 = (y-x)^(1/2)], [regular_chain, [[-1
/2, -1/2], [-3, -3], [-43/8, -43/8], [6, 6], [3536515/1048576, 884129/262144]]
]], [[5, 1, 3, 9, 5], [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, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [
-3, -3], [-43/8, -43/8], [6, 6], [5, 5]]]], [[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 = x, z < 0], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-3, -3],
[-3, -3], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [-3, -3], [-3, -3], [0, 0]]]], [[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 =
x, 0 < z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152]
, [-3, -3], [-3, -3], [1, 1]]]], [[5, 7, 1, 6, 1], [And(-1 < v,v < 0), And(v <
u,u < -v), x < u^2-v^2-1, y = x-u^2+v^2+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, 6, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x < u^2-v^2-1, y = x-u^2
+v^2+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, 6, 3], [
And(-1 < v,v < 0), And(v < u,u < -v), x < u^2-v^2-1, y = x-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], [-3, -3], [-7/4, -7/4], [0, 0]]]], [[5, 7, 1, 6, 4], [And(-1 < v,v < 0)
, And(v < u,u < -v), x < u^2-v^2-1, y = x-u^2+v^2+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, 6, 5], [And(-1 < v,v < 0), And(v < u,u
< -v), x < u^2-v^2-1, y = x-u^2+v^2+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, 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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(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, 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(x < y,y <
x-u^2+v^2+1), z = -(y-x)^(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,
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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(x < y,y < x-u^2+v^2+1), z = (y-x)^(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, 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(x < y,y < x-u^2+v^2+1), (y-x)^(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, 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, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [-4, -4], [1, 1], [-4, -4]]]], [[5, 11, 1, 9, 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, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 
343151/262144], [-4, -4], [1, 1], [-146543/65536, -2344687/1048576]]]], [[5, 
11, 1, 9, 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, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [
[-1/2, -1/2], [343151/262144, 343151/262144], [-4, -4], [1, 1], [0, 0]]]], [[5
, 11, 1, 9, 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, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [-4, -4], [1, 1], [2344687/1048576, 146543/
65536]]]], [[5, 11, 1, 9, 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, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2,
-1/2], [343151/262144, 343151/262144], [-4, -4], [1, 1], [4, 4]]]], [[6, 1, 6,
2, 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, 3, 1], [v = 0, And(-2^(1/
2) < u,u < -1), And(-u^2-1 < x,x < -1), And(x-u^2+1 < y,y < x), z = z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1812519/
1048576, -1812519/1048576], [-1026087/524288, -1026087/524288], [0, 0]]]], [[6
, 9, 3, 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], [-1812519
/1048576, -1812519/1048576], [-1812519/1048576, -1812519/1048576], [-1, -1]]]]
, [[6, 9, 3, 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], [-\
1812519/1048576, -1812519/1048576], [-1812519/1048576, -1812519/1048576], [0,
0]]]], [[6, 9, 3, 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],
[-1812519/1048576, -1812519/1048576], [-1812519/1048576, -1812519/1048576], [1
, 1]]]], [[6, 10, 9, 3, 1], [v = 0, u = 2^(1/2), 1 < x, And(0 < y,y < x-1), z
= z], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [2, 2], [1/2,
1/2], [0, 0]]]], [[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(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), 
And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1
< y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2],
[-1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [-\
159059/262144, -1272471/2097152], [-2, -2]]]], [[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 = x-u^2+v^
2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152,
-1696631/2097152], [-2521309/2097152, -2521309/2097152], [-159059/262144, -\
1272471/2097152], [-1618333/2097152, -3236665/4194304]]]], [[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 = x-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], [-2521309/
2097152, -2521309/2097152], [-159059/262144, -1272471/2097152], [-1/8388608, -\
1/8388608]]]], [[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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-2521309/
2097152, -2521309/2097152], [-159059/262144, -1272471/2097152], [404583/524288
, 809167/1048576]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) <
z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-\
2521309/2097152, -2521309/2097152], [-159059/262144, -1272471/2097152], [2, 2]
]]], [[8, 1, 8, 4, 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, 7, 1],
[v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), And(0 < y,y < u^2+x
), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [-1/2, -1/2], [1035335/1048576, 1035335/1048576], [-3, -3]]]], [[8,
3, 5, 7, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), And(0
< y,y < u^2+x), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304,
-6598195/4194304], [-1/2, -1/2], [1035335/1048576, 1035335/1048576], [-639411/
524288, -1278821/1048576]]]], [[8, 3, 5, 7, 3], [v = 1, And(-3^(1/2) < u,u < -
2^(1/2)), And(-1 < x,x < 0), And(0 < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y
-x)^(1/2))], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-\
1/2, -1/2], [1035335/1048576, 1035335/1048576], [0, 0]]]], [[8, 3, 5, 7, 4], [
v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), And(0 < y,y < u^2+x)
, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [-1/2, -1/2], [1035335/1048576, 1035335/1048576], [1278821/1048576,
639411/524288]]]], [[8, 3, 5, 7, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), 
And(-1 < x,x < 0), And(0 < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[1
, 1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2], [1035335/1048576, 
1035335/1048576], [3, 3]]]], [[8, 7, 6, 3, 1], [v = 1, And(-1 < u,u < 0), x =
-u^2, And(-u^2 < y,y < 0), 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, 3, 2], [v = 1, 
And(-1 < u,u < 0), x = -u^2, And(-u^2 < y,y < 0), 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, 3, 3], [v = 1, And(-1 < u,u < 0), x =
-u^2, And(-u^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], [-1/8, -1/8], [0, 0]]]], [
[8, 7, 6, 3, 4], [v = 1, And(-1 < u,u < 0), x = -u^2, And(-u^2 < y,y < 0), 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, 3, 5], [v = 1, And(-1 < u,u
< 0), x = -u^2, And(-u^2 < y,y < 0), (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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 1], [v = 1, 3^(1/2) < u, And(-u^2 < x,x
< -1), And(x-u^2+2 < y,y < x), z = z], [regular_chain, [[1, 1], [3, 3], [-5, -\
5], [-17/2, -17/2], [0, 0]]]], [[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 = 0, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [7909297/2097152, 7909297/2097152
], [0, 0], [0, 0]]]], [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(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(0 < y,y < u^2-v^2+x+1), z =
-(y-x)^(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(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(0 < y,y < u
^2-v^2+x+1), z = (y-x)^(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(0 < y,y < u^2-v^2+x+1), (y-x)^(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 < -y^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [0, 0], [1288231/
1048576, 1288231/1048576], [-3, -3]]]], [[9, 9, 6, 5, 2], [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 = -y^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0]
, [0, 0], [1288231/1048576, 1288231/1048576], [-1162243/1048576, -581121/
524288]]]], [[9, 9, 6, 5, 3], [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), 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, 5, 4], [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 = y^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0
, 0], [0, 0], [1288231/1048576, 1288231/1048576], [581121/524288, 1162243/
1048576]]]], [[9, 9, 6, 5, 5], [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), y^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [0, 0], [1288231/
1048576, 1288231/1048576], [3, 3]]]], [[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-u^2+v^2+1,
z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[987341/1048576, 987341/1048576], [-374737/524288, -374737/524288], [448653/
524288, 897307/1048576], [-3, -3]]]], [[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-u^2+v^2+1,
z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[987341/1048576, 987341/1048576], [-374737/524288, -374737/524288], [448653/
524288, 897307/1048576], [-1314069/1048576, -328517/262144]]]], [[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-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], [-374737/524288, -374737/524288], [448653/524288, 897307/1048576],
[0, 0]]]], [[9, 11, 5, 8, 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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-374737/524288, -374737/524288], [448653/524288, 897307/1048576], [
328517/262144, 1314069/1048576]]]], [[9, 11, 5, 8, 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 = x-u^2+v^2+1, (
-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-374737/524288, -374737/524288], [448653/
524288, 897307/1048576], [3, 3]]]], [[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 < -(y-x)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10006449
/2097152, -10006449/2097152], [5, 5], [-5, -5]]]], [[9, 17, 3, 9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3,
3], [-10006449/2097152, -10006449/2097152], [5, 5], [-3277777/1048576, -204861
/65536]]]], [[9, 17, 3, 9, 3], [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, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2)
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10006449/
2097152, -10006449/2097152], [5, 5], [0, 0]]]], [[9, 17, 3, 9, 4], [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 = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3],
[-10006449/2097152, -10006449/2097152], [5, 5], [204861/65536, 3277777/1048576
]]]], [[9, 17, 3, 9, 5], [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, (y-x)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [-10006449/2097152, -10006449/
2097152], [5, 5], [5, 5]]]], [[10, 5, 6, 6, 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], [248903/262144, 995613/1048576], [-3, -3]]]]
, [[10, 5, 6, 6, 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], [
248903/262144, 995613/1048576], [-636691/524288, -1273381/1048576]]]], [[10, 5
, 6, 6, 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], [248903/262144, 995613/1048576], [0, 0]]]], [[10, 5, 6, 6, 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], [248903/262144, 995613/
1048576], [1273381/1048576, 636691/524288]]]], [[10, 5, 6, 6, 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], [248903/262144, 995613/1048576],
[3, 3]]]], [[10, 7, 7, 7, 1], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x
,x < 0), And(u^2+x-1 < y,y < x-u^2+3), z < -(y-x)^(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, 7, 2], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0),
And(u^2+x-1 < y,y < x-u^2+3), z = -(y-x)^(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, 7, 3], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), And(u^
2+x-1 < y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 4], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), 
And(u^2+x-1 < y,y < x-u^2+3), z = (y-x)^(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, 7, 5], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), And(u^2+
x-1 < y,y < x-u^2+3), (y-x)^(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, 4, 7,
1], [v = 2^(1/2), And(0 < u,u < 1), x = -1, And(0 < y,y < -u^2+2), z < -(y+1)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1, -1
], [7/8, 7/8], [-3, -3]]]], [[10, 11, 4, 7, 2], [v = 2^(1/2), And(0 < u,u < 1)
, x = -1, And(0 < y,y < -u^2+2), z = -(y+1)^(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, 7, 3], [v = 2^(1/2), And(0 < u,u < 1), x = -\
1, And(0 < y,y < -u^2+2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1, -1], [7/8,
7/8], [0, 0]]]], [[10, 11, 4, 7, 4], [v = 2^(1/2), And(0 < u,u < 1), x = -1, 
And(0 < y,y < -u^2+2), z = (y+1)^(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, 7, 5], [v = 2^(1/2), And(0 < u,u < 1), x = -1, And(0
< y,y < -u^2+2), (y+1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [-1, -1], [7/8, 7/8], [3, 3]]]], [[10, 13, 4, 1, 1], [v
= 2^(1/2), And(1 < u,u < v), x = -1, y < -1, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [-2, -\
2], [0, 0]]]], [[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(x-u^2+v^2+1 < y,y < x), z = z], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/2], [-\
100263691/134217728, -100263691/134217728], [0, 0]]]], [[11, 5, 4, 6, 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, 6, 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, 6, 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,
6, 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, 6, 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, 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 < -(y+1)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1, -1], [3,
3], [-3, -3]]]], [[11, 9, 4, 9, 2], [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 = -(y+1)^(1/2)], [regular_chain, [[3,
3], [-22960369/8388608, -22960369/8388608], [-1, -1], [3, 3], [-2, -2]]]], [[
11, 9, 4, 9, 3], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x =
-1, -u^2+v^2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[3,
3], [-22960369/8388608, -22960369/8388608], [-1, -1], [3, 3], [0, 0]]]], [[11,
9, 4, 9, 4], [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 = (y+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [-1, -1], [3, 3], [2, 2]]]], [[11, 9, 4, 9, 5], [2^(1/2) <
v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, -u^2+v^2 < y, (y+1)^(1/
2) < z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1,
-1], [3, 3], [3, 3]]]], [[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(2*u^2-2*v^2 < y,y < u^2-v^2-1), z = z
], [regular_chain, [[3, 3], [0, 0], [-10, -10], [-14, -14], [0, 0]]]], [[11, 
16, 6, 7, 1], [2^(1/2) < v, u = v, x = 1, 2 < y, z < -(y-1)^(1/2)], [
regular_chain, [[3, 3], [3, 3], [1, 1], [3, 3], [-3, -3]]]], [[11, 16, 6, 7, 2
], [2^(1/2) < v, u = v, x = 1, 2 < y, z = -(y-1)^(1/2)], [regular_chain, [[3,
3], [3, 3], [1, 1], [3, 3], [-1482911/1048576, -741455/524288]]]], [[11, 16, 6
, 7, 3], [2^(1/2) < v, u = v, x = 1, 2 < y, 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,
7, 4], [2^(1/2) < v, u = v, x = 1, 2 < y, z = (y-1)^(1/2)], [regular_chain, [[
3, 3], [3, 3], [1, 1], [3, 3], [741455/524288, 1482911/1048576]]]], [[11, 16,
6, 7, 5], [2^(1/2) < v, u = v, x = 1, 2 < y, (y-1)^(1/2) < z], [regular_chain,
[[3, 3], [3, 3], [1, 1], [3, 3], [3, 3]]]], [[11, 18, 8, 1, 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], [-1, -1], [0, 0]]]], [[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 = x, z < 0], [
regular_chain, [[-3, -3], [-5, -5], [8, 8], [8, 8], [-1, -1]]]], [[1, 1, 9, 6,
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, 6
, 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,
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 < -y^(1/2)], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [0, 0], [653799/524288, 653799/524288], [-3, -3]]]
], [[1, 3, 6, 5, 2], [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 = -y^(1/2)], [regular_chain, [[-3, -3], [
-3396811/1048576, -3396811/1048576], [0, 0], [653799/524288, 653799/524288], [
-1170947/1048576, -585473/524288]]]], [[1, 3, 6, 5, 3], [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), 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, 5, 4]
, [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 = y^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -\
3396811/1048576], [0, 0], [653799/524288, 653799/524288], [585473/524288, 
1170947/1048576]]]], [[1, 3, 6, 5, 5], [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), y^(1/2) < z], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [0, 0], [
653799/524288, 653799/524288], [3, 3]]]], [[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(u^2-v^2+x+1 < y,y <
x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152,
-6111549/2097152], [-516571/2097152, -516571/2097152], [1580581/2097152, 
1580581/2097152], [-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(u^2-v^2+x+1 < y,y < x-u^2+v^2+
1), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-516571/2097152, -516571/2097152], [1580581/2097152, 1580581/
2097152], [-1, -1]]]], [[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(u^2-v^2+x+1 < y,y < x-u^2+v^2+1), And(
-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [1580581/
2097152, 1580581/2097152], [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(u^2-v^2+x+1 < y,y < x-u^
2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-516571/2097152, -516571/2097152], [1580581/2097152, 
1580581/2097152], [1, 1]]]], [[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(u^2-v^2+x+1 < y,y < x-u^2+v^2+1)
, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-516571/2097152, -516571/2097152], [1580581/2097152, 1580581/
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, x+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [2, 2], [5, 5], [-\
3, -3]]]], [[1, 14, 9, 7, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), 1 < x, x+2 < y
, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [2, 2], [5, 5], [-1816187/1048576, -3632373/2097152]]]], [[1, 14, 9,
7, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), 1 < x, x+2 < y, And(-(y-x)^(1/2) < z,
z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576]
, [2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[1, 14, 9, 7, 4], [v < -2^(1/2
), u = (v^2-1)^(1/2), 1 < x, x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[-3,
-3], [741455/262144, 2965821/1048576], [2, 2], [5, 5], [908093/524288, 1816187
/1048576]]]], [[1, 14, 9, 7, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), 1 < x, x+2
< y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [2, 2], [5, 5], [3, 3]]]], [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/
2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-3, -3], [-\
326817/131072, -2614535/1048576], [-2, -2]]]], [[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 = x-u^2+v^2+1, z = -(-u^2+
v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-3,
-3], [-326817/131072, -2614535/1048576], [-373161/524288, -1492643/2097152]]]]
, [[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 = x-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], [-3, -3], [-326817/
131072, -2614535/1048576], [-1/4194304, -1/4194304]]]], [[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 = x-u^2+v^2+1, z
= (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-3, -3], [-326817/131072, -2614535/1048576], [746321/1048576, 373161
/524288]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3
, -3], [403851/131072, 403851/131072], [-3, -3], [-326817/131072, -2614535/
1048576], [2, 2]]]], [[1, 20, 7, 8, 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, 8,
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, 8, 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, 8, 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, 8, 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, 1, 4
, 7, 1], [v = -2^(1/2), u < -2, x = -1, And(0 < y,y < u^2-2), z < -(y+1)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [7
/2, 7/2], [-4, -4]]]], [[2, 1, 4, 7, 2], [v = -2^(1/2), u < -2, x = -1, And(0
< y,y < u^2-2), z = -(y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [-3, -3], [-1, -1], [7/2, 7/2], [-1112183/524288, -2224365/1048576]]
]], [[2, 1, 4, 7, 3], [v = -2^(1/2), u < -2, x = -1, And(0 < y,y < u^2-2), And
(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [-1, -1], [7/2, 7/2], [0, 0]]]], [[2, 1, 4, 7, 4], [
v = -2^(1/2), u < -2, x = -1, And(0 < y,y < u^2-2), z = (y+1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [7/2,
7/2], [2224365/1048576, 1112183/524288]]]], [[2, 1, 4, 7, 5], [v = -2^(1/2), u
< -2, x = -1, And(0 < y,y < u^2-2), (y+1)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [7/2, 7/2], [4, 4]]]], [
[2, 10, 8, 3, 1], [v = -2^(1/2), u = 0, x = 1, And(0 < y,y < 1), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [1, 1], [1/2, 1/2]
, [0, 0]]]], [[2, 12, 6, 3, 1], [v = -2^(1/2), u = 1, x = 0, And(0 < y,y < 2),
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
(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y
< 2), 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), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [908093/524288, 1816187/1048576], [1/2, 1/2], [4, 4]
, [-3, -3]]]], [[2, 16, 7, 7, 2], [v = -2^(1/2), u = 3^(1/2), And(0 < x,x < 1)
, x+2 < y, z = -(y-x)^(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, 7, 3], [v = -2^(1/2), u = 3^(1/2), 
And(0 < x,x < 1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [1/2, 1/2], [4, 4], [0, 0]]]], [[2, 16, 7, 7, 4], [v = -2^(1/2), u =
3^(1/2), And(0 < x,x < 1), x+2 < y, z = (y-x)^(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, 7, 5], [v = -2^(1/2
), u = 3^(1/2), And(0 < x,x < 1), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [
[-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [1/2, 1/
2], [4, 4], [3, 3]]]], [[2, 18, 5, 1, 1], [v = -2^(1/2), u = 2, And(-1 < x,x <
0), y < x-1, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [2,
2], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[3, 4, 8, 2, 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, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 8, 1, 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], [-1, -1], [0, 0]]]], [[3, 12, 6, 5, 1], [And(
-2^(1/2) < v,v < -1), u = -v, x = 1, And(1 < y,y < 2), 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, 5, 2], [And(-2^
(1/2) < v,v < -1), u = -v, x = 1, And(1 < y,y < 2), 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, 5, 3], [And(-2^(1/2) < v,v < -1), u = -v, x = 1, And(1 < y,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], [3/2, 3/2], [0,
0]]]], [[3, 12, 6, 5, 4], [And(-2^(1/2) < v,v < -1), u = -v, x = 1, And(1 < y,
y < 2), 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, 5, 5], [And(-2^(1/2) < v,v < -1), u = -v, x = 1,
And(1 < y,y < 2), (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, 3, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = 1,
And(0 < y,y < 1), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [1643659/1048576, 410915/262144], [1, 1], [1/2, 1/2], [0, 0]]]], [[3, 16, 5
, 4, 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,
4, 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, 4, 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, 8, 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, 8,
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, 8, 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, 8, 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, 8, 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, 4, 8, 3, 1], [v = -1, u = -
2^(1/2), x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[-1, -1], [-1482911
/1048576, -741455/524288], [1, 1], [1/2, 1/2], [0, 0]]]], [[4, 11, 1, 4, 1], [
v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, y = x-u^2+2, z < -(-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3, -3], [-\
2576463/1048576, -1288231/524288], [-2, -2]]]], [[4, 11, 1, 4, 2], [v = -1, 
And(1 < u,u < 2^(1/2)), x < -u^2, y = x-u^2+2, z = -(-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3, -3], [-\
2576463/1048576, -1288231/524288], [-772605/1048576, -1545209/2097152]]]], [[4
, 11, 1, 4, 3], [v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, y = x-u^2+2, And(-(
-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-3, -3], [-2576463/1048576, -1288231/524288], [-1/
4194304, -1/4194304]]]], [[4, 11, 1, 4, 4], [v = -1, And(1 < u,u < 2^(1/2)), x
< -u^2, y = x-u^2+2, z = (-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-3, -3], [-2576463/1048576, -1288231/524288], [
193151/262144, 772605/1048576]]]], [[4, 11, 1, 4, 5], [v = -1, And(1 < u,u < 2
^(1/2)), x < -u^2, y = x-u^2+2, (-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1]
, [1265743/1048576, 1265743/1048576], [-3, -3], [-2576463/1048576, -1288231/
524288], [2, 2]]]], [[4, 12, 9, 1, 1], [v = -1, u = 2^(1/2), 1 < x, y < 0, z =
z], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [2, 2], [-1,
-1], [0, 0]]]], [[5, 1, 4, 5, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x =
-1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y <
0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = x, z < 0], [regular_chain, [[-1/2, -1/2], [-343151/262144,
-343151/262144], [-4, -4], [-4, -4], [-1, -1]]]], [[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 = x, z
= 0], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-4, -4
], [-4, -4], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-\
1/2, -1/2], [-343151/262144, -343151/262144], [-4, -4], [-4, -4], [1, 1]]]], [
[5, 12, 8, 7, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 1, 4 < y, z < -(y
-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1, 1], [5, 5], [-3, -3
]]]], [[5, 12, 8, 7, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 1, 4 < y,
z = -(y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1, 1], [5, 5],
[-2, -2]]]], [[5, 12, 8, 7, 3], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 1,
4 < y, 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, 7, 4], [And(-1 < v,v < 0),
u = (v^2+2)^(1/2), x = 1, 4 < y, z = (y-1)^(1/2)], [regular_chain, [[-1/2, -1/
2], [3/2, 3/2], [1, 1], [5, 5], [2, 2]]]], [[5, 12, 8, 7, 5], [And(-1 < v,v <
0), u = (v^2+2)^(1/2), x = 1, 4 < y, (y-1)^(1/2) < z], [regular_chain, [[-1/2,
-1/2], [3/2, 3/2], [1, 1], [5, 5], [3, 3]]]], [[6, 1, 5, 6, 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, 6, 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
, 6, 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, 6, 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, 6, 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, 3, 1, 1], [v = 0, And(-1 < u,u < 0), And(-u^2-1 < x
,x < -1), y < x, z = z], [regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8],
[-3, -3], [0, 0]]]], [[6, 7, 3, 5, 1], [v = 0, And(0 < u,u < 1), And(-u^2-1 <
x,x < -1), And(x-u^2+1 < y,y < 0), z < -(y-x)^(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(x-u^2+1 < y,y < 0), z = -(y-x
)^(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(x-u^2+1 < y,y < 0), And(-(y-x)^(1/2) < z,z
< (y-x)^(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(x-u^2+1 < y,y < 0), z = (y-x)^(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(x-u^2+1 < y,y < 0), (y-x)^(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 < x-u^2+v^2+1, z = z
], [regular_chain, [[1/2, 1/2], [-3, -3], [1/2, 1/2], [-9, -9], [0, 0]]]], [[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 < -(y-x)^(1/2)], [regular_chain
, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1815885/1048576, -1815885/
1048576], [2, 2], [-3, -3]]]], [[7, 3, 3, 9, 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), u^2-v^2+x+1 < y,
z = -(y-x)^(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, 9, 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), u^2-v^2+x+1 < y, And(-(y-
x)^(1/2) < z,z < (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[
1/2, 1/2], [-343151/262144, -343151/262144], [-1815885/1048576, -1815885/
1048576], [2, 2], [3, 3]]]], [[7, 7, 4, 7, 1], [And(0 < v,v < 1), And(-v < u,u
< v), x = -1, And(0 < y,y < -u^2+v^2), z < -(y+1)^(1/2)], [regular_chain, [[1/
2, 1/2], [0, 0], [-1, -1], [1/8, 1/8], [-3, -3]]]], [[7, 7, 4, 7, 2], [And(0 <
v,v < 1), And(-v < u,u < v), x = -1, And(0 < y,y < -u^2+v^2), z = -(y+1)^(1/2)
], [regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [1/8, 1/8], [-1112183/
1048576, -556091/524288]]]], [[7, 7, 4, 7, 3], [And(0 < v,v < 1), And(-v < u,u
< v), x = -1, And(0 < y,y < -u^2+v^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))],
[regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [1/8, 1/8], [0, 0]]]], [[7, 7,
4, 7, 4], [And(0 < v,v < 1), And(-v < u,u < v), x = -1, And(0 < y,y < -u^2+v^2
), z = (y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [1/8, 1/8]
, [556091/524288, 1112183/1048576]]]], [[7, 7, 4, 7, 5], [And(0 < v,v < 1), 
And(-v < u,u < v), x = -1, And(0 < y,y < -u^2+v^2), (y+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [1/8, 1/8], [3, 3]]]], [[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 = x, z < 0], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [-1672995/2097152, -1672995/2097152], [-1672995/2097152, -1672995/
2097152], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[1/2, 1
/2], [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152],
[-1672995/2097152, -1672995/2097152], [0, 0]]]], [[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 = x, 0 < z]
, [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1672995/
2097152, -1672995/2097152], [-1672995/2097152, -1672995/2097152], [1, 1]]]], [
[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(0 < y,y < u^2-v^2), z < -(y+1)^(1/2)], [regular_chain, [[1/2, 1/2]
, [343151/262144, 343151/262144], [-1, -1], [767309/1048576, 767309/1048576],
[-3, -3]]]], [[7, 11, 4, 7, 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 < u^2-v^2), z = -(y+1)^(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, 7,
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 < u^2-v^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1/
2, 1/2], [343151/262144, 343151/262144], [-1, -1], [767309/1048576, 767309/
1048576], [0, 0]]]], [[7, 11, 4, 7, 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 < u^2-v^2), z = (y+1)^(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, 7, 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 < u^2-v^2), (y+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [343151/262144,
343151/262144], [-1, -1], [767309/1048576, 767309/1048576], [3, 3]]]], [[7, 13
, 2, 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 = z], [regular_chain, [[1/2, 1/2], [3, 3], [-39/4, -39/4], [-19, -19],
[0, 0]]]], [[8, 3, 6, 1, 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], [-2, -2], [0, 0]]]], [[8, 5, 5, 4, 1], [v = 1, And(-2^(1/2) < u,u <
-1), And(-1 < x,x < u^2-2), y = x-u^2+2, z < -(-u^2+2)^(1/2)], [regular_chain,
[[1, 1], [-1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/
4194304], [-29957/131072, -239655/1048576], [-2, -2]]]], [[8, 5, 5, 4, 2], [v
= 1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y = x-u^2+2, z = -(-u^2+
2)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-\
3235683/4194304, -3235683/4194304], [-29957/131072, -239655/1048576], [-772605
/1048576, -1545209/2097152]]]], [[8, 5, 5, 4, 3], [v = 1, And(-2^(1/2) < u,u <
-1), And(-1 < x,x < u^2-2), y = x-u^2+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], [-29957/131072, -239655/1048576], [-1/
4194304, -1/4194304]]]], [[8, 5, 5, 4, 4], [v = 1, And(-2^(1/2) < u,u < -1), 
And(-1 < x,x < u^2-2), y = x-u^2+2, z = (-u^2+2)^(1/2)], [regular_chain, [[1,
1], [-1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304]
, [-29957/131072, -239655/1048576], [193151/262144, 772605/1048576]]]], [[8, 5
, 5, 4, 5], [v = 1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y = x-u^2
+2, (-u^2+2)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-3235683/4194304, -3235683/4194304], [-29957/131072, -239655/
1048576], [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(0 < y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [-1/2, -1/2], [2070669/2097152, 2070669/2097152], [
-3, -3]]]], [[8, 13, 5, 7, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 <
x,x < 0), And(0 < y,y < u^2+x), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [-1/2, -1/2], [2070669/2097152, 2070669/
2097152], [-1278821/1048576, -319705/262144]]]], [[8, 13, 5, 7, 3], [v = 1, 
And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), And(0 < y,y < u^2+x), And(-(y
-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [-1/2, -1/2], [2070669/2097152, 2070669/2097152], [0, 0]]]],
[[8, 13, 5, 7, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), 
And(0 < y,y < u^2+x), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [-1/2, -1/2], [2070669/2097152, 2070669/2097152], [
319705/262144, 1278821/1048576]]]], [[8, 13, 5, 7, 5], [v = 1, And(2^(1/2) < u
,u < 3^(1/2)), And(-1 < x,x < 0), And(0 < y,y < u^2+x), (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [
2070669/2097152, 2070669/2097152], [3, 3]]]], [[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(x < y,y < u^2-v^2+
x+1), z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3, -3], [7909297/2097152, 7909297/2097152], [8433585/1048576, 8433585/
1048576], [-4, -4]]]], [[9, 1, 9, 7, 2], [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 < u^2-v^2+x+1), z = -(y-x)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [7909297/
2097152, 7909297/2097152], [8433585/1048576, 8433585/1048576], [-2167143/
1048576, -1083571/524288]]]], [[9, 1, 9, 7, 3], [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 < u^2-v^2+x+1), And(-(y-x
)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [8433585/1048576, 
8433585/1048576], [0, 0]]]], [[9, 1, 9, 7, 4], [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 < u^2-v^2+x+1), z = (y-x)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [
7909297/2097152, 7909297/2097152], [8433585/1048576, 8433585/1048576], [
1083571/524288, 2167143/1048576]]]], [[9, 1, 9, 7, 5], [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 < u^2-v^2+x+1), (y
-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3],
[7909297/2097152, 7909297/2097152], [8433585/1048576, 8433585/1048576], [4, 4]
]]], [[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(x-u^2+v^2+1 < y,y < 0), 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, 7, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u
< (v^2+1)^(1/2)), x = u^2-v^2-1, 2*u^2-2*v^2 < y, z < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-1116681/2097152, -139585/262144], [2, 2], [-3, -3]]]], [[9, 13, 6,
7, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, 2
*u^2-2*v^2 < y, z = -(y-u^2+v^2+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, 7,
3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, 2*u^
2-2*v^2 < y, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+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, 7, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)),
x = u^2-v^2-1, 2*u^2-2*v^2 < y, z = (y-u^2+v^2+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, 7, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x =
u^2-v^2-1, 2*u^2-2*v^2 < y, (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
1116681/2097152, -139585/262144], [2, 2], [3, 3]]]], [[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 = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [0, 0], [-2, -2], [0, 0]]]], [[10, 1, 10, 1, 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], [-1, -1], [0, 0]]]], [[10, 3, 7, 6, 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], [252733/1048576, 126367/524288], [
-1, -1]]]], [[10, 3, 7, 6, 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], [
252733/1048576, 126367/524288], [0, 0]]]], [[10, 3, 7, 6, 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], [252733/1048576, 126367/524288], [1, 1]]]], [
[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-1, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/
2], [3/8, 3/8], [-2, -2], [0, 0]]]], [[10, 11, 4, 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, 4, 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,
4, 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, 15, 4, 9, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -\
1, u^2-2 < y, z < -(y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-1, -1], [2, 2], [-3, -3]]]], [
[10, 15, 4, 9, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -1, u^2-2 < y, z
= -(y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-1, -1], [2, 2], [-1816187/1048576, -3632373/
2097152]]]], [[10, 15, 4, 9, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -1,
u^2-2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-1, -1], [2, 2]
, [-1/4194304, -1/4194304]]]], [[10, 15, 4, 9, 4], [v = 2^(1/2), And(v < u,u <
3^(1/2)), x = -1, u^2-2 < y, z = (y+1)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-1, -1], [2, 2], [
908093/524288, 1816187/1048576]]]], [[10, 15, 4, 9, 5], [v = 2^(1/2), And(v <
u,u < 3^(1/2)), x = -1, u^2-2 < y, (y+1)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-1, -1], [2, 2]
, [3, 3]]]], [[10, 17, 4, 3, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -1,
And(-u^2+2 < y,y < -1), z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [-1, -1], [-2602619/2097152, -\
2602619/2097152], [0, 0]]]], [[10, 19, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [1/
2, 1/2], [19, 19], [-6, -6]]]], [[11, 1, 7, 9, 2], [2^(1/2) < v, u < -(v^2+2)^
(1/2), And(0 < x,x < 1), u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [
[3, 3], [-5, -5], [1/2, 1/2], [19, 19], [-281881/65536, -4510095/1048576]]]],
[[11, 1, 7, 9, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(0 < x,x < 1), u^2-v^2
+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-5
, -5], [1/2, 1/2], [19, 19], [0, 0]]]], [[11, 1, 7, 9, 4], [2^(1/2) < v, u < -
(v^2+2)^(1/2), And(0 < x,x < 1), u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [-5, -5], [1/2, 1/2], [19, 19], [4510095/1048576, 
281881/65536]]]], [[11, 1, 7, 9, 5], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(0 <
x,x < 1), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-5, -5]
, [1/2, 1/2], [19, 19], [6, 6]]]], [[11, 5, 4, 7, 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 < -(y+1)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1, -1], [517383/
2097152, 517383/2097152], [-3, -3]]]], [[11, 5, 4, 7, 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 = -(y+1)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1, -1], [517383/
2097152, 517383/2097152], [-1170799/1048576, -585399/524288]]]], [[11, 5, 4, 7
, 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(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-1, -1], [517383/2097152, 517383/2097152], [0
, 0]]]], [[11, 5, 4, 7, 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 = (y+1)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-1, -1], [517383/2097152, 517383/2097152], [
585399/524288, 1170799/1048576]]]], [[11, 5, 4, 7, 5], [2^(1/2) < v, And(-(v^2
+1)^(1/2) < u,u < -v), x = -1, And(0 < y,y < u^2-v^2), (y+1)^(1/2) < z], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1, -1], [517383/
2097152, 517383/2097152], [3, 3]]]], [[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 = 0, z < -(-x)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-391287/524288,
-391287/524288], [0, 0], [-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 = 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
, 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 = 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, 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 = 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, 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
= 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-391287/524288, -391287/524288], [0, 0], [2, 2]]]], [[11, 12, 8, 7,
1], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 1, 4 < y, z < -(y-1)^(1/2)], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [1, 1], [5, 5], [-3, -3
]]]], [[11, 12, 8, 7, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 1, 4 < y, z = -
(y-1)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [1, 1],
[5, 5], [-2, -2]]]], [[11, 12, 8, 7, 3], [2^(1/2) < v, u = (v^2-2)^(1/2), x =
1, 4 < y, 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, 7, 4], [
2^(1/2) < v, u = (v^2-2)^(1/2), x = 1, 4 < y, z = (y-1)^(1/2)], [regular_chain
, [[3, 3], [2774271/1048576, 10837/4096], [1, 1], [5, 5], [2, 2]]]], [[11, 12,
8, 7, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 1, 4 < y, (y-1)^(1/2) < z], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [1, 1], [5, 5], [3, 3]]
]], [[11, 14, 7, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 8, 2, 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, 5, 7, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-1 < x,x < 0),
And(0 < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [3477733/
1048576, 1738867/524288], [-1/2, -1/2], [5/4, 5/4], [-3, -3]]]], [[11, 20, 5,
7, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3),
z = -(y-x)^(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, 7,
3], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [3477733/
1048576, 1738867/524288], [-1/2, -1/2], [5/4, 5/4], [0, 0]]]], [[11, 20, 5, 7,
4], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), z
= (y-x)^(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, 7, 5],
[2^(1/2) < v, u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), (y-x)^
(1/2) < z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1/2,
-1/2], [5/4, 5/4], [3, 3]]]], [[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 < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-5, -5], [8, 8], [26, 26], [-6, -6]]]], [[1, 1, 9,
9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [8, 8], [26, 26
], [-1112183/262144, -4448731/1048576]]]], [[1, 1, 9, 9, 3], [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, And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-5, -5], [8, 8], [26, 26],
[0, 0]]]], [[1, 1, 9, 9, 4], [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 = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-5,
-5], [8, 8], [26, 26], [4448731/1048576, 1112183/262144]]]], [[1, 1, 9, 9, 5],
[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,
(y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5], [8, 8], [26, 26], [6, 6
]]]], [[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(0 < y,y < x), 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-u^2+v^2+1, z <
-(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-516571/2097152, -516571/2097152], [661147/524288, 1322295/1048576]
, [-3, -3]]]], [[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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-516571/
2097152, -516571/2097152], [661147/524288, 1322295/1048576], [-1287385/1048576
, -160923/131072]]]], [[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-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], [-516571/2097152, -516571/2097152], [661147/524288, 1322295/
1048576], [0, 0]]]], [[1, 7, 7, 8, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), And(-u^2+v^2-1 < x,x < 0), y = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-516571/
2097152, -516571/2097152], [661147/524288, 1322295/1048576], [160923/131072, 
1287385/1048576]]]], [[1, 7, 7, 8, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), And(-u^2+v^2-1 < x,x < 0), y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-516571/
2097152, -516571/2097152], [661147/524288, 1322295/1048576], [3, 3]]]], [[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 = z], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [533035/2097152, 533035/2097152], [-\
266519/1048576, -133259/524288], [0, 0]]]], [[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(x < y,y < u^2-v^2+x+1), z <
-(y-x)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152],
[-3, -3], [-11549769/4194304, -11549769/4194304], [-2, -2]]]], [[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(x < y,y <
u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152,
6111549/2097152], [-3, -3], [-11549769/4194304, -11549769/4194304], [-16263/
32768, -520415/1048576]]]], [[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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-3, -3], [-11549769/4194304, -11549769/4194304], [0, 0]]]], [[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(x
< y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-3, -3], [-11549769/4194304, -11549769/4194304], [
520415/1048576, 16263/32768]]]], [[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(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z
], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3, -3], [-\
11549769/4194304, -11549769/4194304], [2, 2]]]], [[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 = -u^2+v^2-1, z < 0], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-195745/131072, -\
1565959/1048576], [-195745/131072, -1565959/1048576], [-1, -1]]]], [[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 = -u^2+
v^2-1, z = 0], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-\
195745/131072, -1565959/1048576], [-195745/131072, -1565959/1048576], [0, 0]]]
], [[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 = -u^2+v^2-1, 0 < z], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [-195745/131072, -1565959/1048576], [-195745/131072, -1565959/
1048576], [1, 1]]]], [[1, 20, 7, 9, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), And(
0 < x,x < 1), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [1/2, 1/2], [5, 5], [-4, -4]]]], [[1, 20, 7, 9, 2],
[v < -2^(1/2), u = (v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y, z = -(y-x)^(1/2)]
, [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [1/2, 1/2], [5
, 5], [-1112183/524288, -2224365/1048576]]]], [[1, 20, 7, 9, 3], [v < -2^(1/2)
, u = (v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [1/2,
1/2], [5, 5], [0, 0]]]], [[1, 20, 7, 9, 4], [v < -2^(1/2), u = (v^2+2)^(1/2),
And(0 < x,x < 1), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [1/2, 1/2], [5, 5], [2224365/1048576, 
1112183/524288]]]], [[1, 20, 7, 9, 5], [v < -2^(1/2), u = (v^2+2)^(1/2), And(0
< x,x < 1), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [1/2, 1/2], [5, 5], [4, 4]]]], [[2, 1, 5, 3, 1], [v
= -2^(1/2), u < -2, And(-1 < x,x < 0), And(x-u^2+3 < y,y < x), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1/2, -1/2], [-\
7/2, -7/2], [0, 0]]]], [[2, 10, 7, 7, 1], [v = -2^(1/2), u = 0, And(0 < x,x <
1), And(x < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [0, 0], [1/2, 1/2], [2, 2], [-3, -3]]]], [[2, 10, 7, 7, 2], [
v = -2^(1/2), u = 0, And(0 < x,x < 1), And(x < y,y < x+3), z = -(y-x)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [1/2, 1/2], [2, 2
], [-1284239/1048576, -642119/524288]]]], [[2, 10, 7, 7, 3], [v = -2^(1/2), u
= 0, And(0 < x,x < 1), And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [1/2, 1/2],
[2, 2], [0, 0]]]], [[2, 10, 7, 7, 4], [v = -2^(1/2), u = 0, And(0 < x,x < 1),
And(x < y,y < x+3), z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [0, 0], [1/2, 1/2], [2, 2], [642119/524288, 1284239/1048576]]]
], [[2, 10, 7, 7, 5], [v = -2^(1/2), u = 0, And(0 < x,x < 1), And(x < y,y < x+
3), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [0,
0], [1/2, 1/2], [2, 2], [3, 3]]]], [[2, 12, 6, 2, 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, 2, 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, 2, 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, 6, 5, 1], [v = -2^(1/2), u = 3^(1/2), x = 0, 2 <
y, z < -y^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [908093
/524288, 1816187/1048576], [0, 0], [3, 3], [-3, -3]]]], [[2, 16, 6, 5, 2], [v
= -2^(1/2), u = 3^(1/2), x = 0, 2 < y, 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, 5, 3], [v = -2^(1/2
), u = 3^(1/2), x = 0, 2 < y, 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, 5, 4], [v = -2^(1/2), u = 3^(
1/2), x = 0, 2 < y, 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, 5, 5], [v = -2^(1/2), u = 3^(1/2), x = 0, 2 <
y, y^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/
524288, 1816187/1048576], [0, 0], [3, 3], [3, 3]]]], [[2, 18, 4, 7, 1], [v = -
2^(1/2), u = 2, x = -1, And(0 < y,y < 2), z < -(y+1)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [2, 2], [-1, -1], [1, 1], [-3, -3]]]], [[2
, 18, 4, 7, 2], [v = -2^(1/2), u = 2, x = -1, And(0 < y,y < 2), z = -(y+1)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1, -1], [1
, 1], [-1482911/1048576, -741455/524288]]]], [[2, 18, 4, 7, 3], [v = -2^(1/2),
u = 2, x = -1, And(0 < y,y < 2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1, -1], [1, 1],
[0, 0]]]], [[2, 18, 4, 7, 4], [v = -2^(1/2), u = 2, x = -1, And(0 < y,y < 2),
z = (y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2],
[-1, -1], [1, 1], [741455/524288, 1482911/1048576]]]], [[2, 18, 4, 7, 5], [v =
-2^(1/2), u = 2, x = -1, And(0 < y,y < 2), (y+1)^(1/2) < z], [regular_chain, [
[-1482911/1048576, -741455/524288], [2, 2], [-1, -1], [1, 1], [3, 3]]]], [[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 < 2), 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, 5, 2], [And(-2^(
1/2) < v,v < -1), u = v, x = 1, And(1 < y,y < 2), 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, 5, 3], [And(-2^(1/2) < v,v < -1), u = v, x = 1, And(1 < y,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], [3/2, 3/2], [0
, 0]]]], [[3, 6, 6, 5, 4], [And(-2^(1/2) < v,v < -1), u = v, x = 1, And(1 < y,
y < 2), 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, 5, 5], [And(-2^(1/2) < v,v < -1), u = v, x = 1, 
And(1 < y,y < 2), (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, 1, 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], [-1, -1], [0, 0]]]], [[
3, 12, 6, 2, 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, 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), x+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-1/2, -1/2], [4, 4], [-4, -4]]]], [[3, 16, 5, 9, 2], [And(-2^(1/2)
< v,v < -1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), x+3 < y, z = -(y-x)^(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, 9, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-1 < x,x < 0),
x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-1/2, -1/2], [4,
4], [0, 0]]]], [[3, 16, 5, 9, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2)
, And(-1 < x,x < 0), x+3 < y, z = (y-x)^(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, 9, 5], [And(-2^(1/2) < v
,v < -1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), x+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-1/2, -1/2], [4, 4], [4, 4]]]], [[4, 3, 1, 2, 1], [v = -1, And(-3^(
1/2) < u,u < -2^(1/2)), x < -u^2, y = x-u^2+2, z = z], [regular_chain, [[-1, -\
1], [-6598195/4194304, -6598195/4194304], [-4, -4], [-4692111/1048576, -\
2346055/524288], [0, 0]]]], [[4, 4, 9, 3, 1], [v = -1, u = -2^(1/2), 1 < x, 
And(0 < y,y < x), z = z], [regular_chain, [[-1, -1], [-1482911/1048576, -\
741455/524288], [2, 2], [1, 1], [0, 0]]]], [[4, 11, 1, 5, 1], [v = -1, And(1 <
u,u < 2^(1/2)), x < -u^2, And(x-u^2+2 < y,y < u^2+x), z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3, -3], [-\
8388607/4194304, -8388607/4194304], [-3, -3]]]], [[4, 11, 1, 5, 2], [v = -1, 
And(1 < u,u < 2^(1/2)), x < -u^2, And(x-u^2+2 < y,y < u^2+x), z = -(y-x)^(1/2)
], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3, -3], [-\
8388607/4194304, -8388607/4194304], [-1048577/1048576, -1]]]], [[4, 11, 1, 5,
3], [v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, And(x-u^2+2 < y,y < u^2+x), And
(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-3, -3], [-8388607/4194304, -8388607/4194304], [0,
0]]]], [[4, 11, 1, 5, 4], [v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, And(x-u^2
+2 < y,y < u^2+x), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-3, -3], [-8388607/4194304, -8388607/4194304], [1,
1048577/1048576]]]], [[4, 11, 1, 5, 5], [v = -1, And(1 < u,u < 2^(1/2)), x < -
u^2, And(x-u^2+2 < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[-1, -1],
[1265743/1048576, 1265743/1048576], [-3, -3], [-8388607/4194304, -8388607/
4194304], [3, 3]]]], [[4, 12, 9, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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 = -2*u^2+2*v^2, z = z], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-2583195/
1048576, -1291597/524288], [-6138473/2097152, -24553891/8388608], [0, 0]]]], [
[5, 12, 7, 9, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(0 < x,x < 1), x+3
< y, z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1/2, 1/2],
[5, 5], [-4, -4]]]], [[5, 12, 7, 9, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2),
And(0 < x,x < 1), x+3 < y, z = -(y-x)^(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, 9, 3], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y,
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [3/2, 3
/2], [1/2, 1/2], [5, 5], [0, 0]]]], [[5, 12, 7, 9, 4], [And(-1 < v,v < 0), u =
(v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y, z = (y-x)^(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, 9, 5], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(0 < x,x < 1
), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1/2,
1/2], [5, 5], [4, 4]]]], [[6, 1, 5, 3, 1], [v = 0, u < -2^(1/2), And(-1 < x,x
< 0), And(x-u^2+1 < y,y < x), z = z], [regular_chain, [[0, 0], [-3, -3], [-1/2
, -1/2], [-9/2, -9/2], [0, 0]]]], [[6, 5, 2, 3, 1], [v = 0, And(-1 < u,u < 0),
x = -u^2-1, And(-u^2-1 < y,y < -2*u^2), 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, 3,
2], [v = 0, And(-1 < u,u < 0), x = -u^2-1, And(-u^2-1 < y,y < -2*u^2), 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, 3, 3], [v = 0, And(-1
< u,u < 0), x = -u^2-1, And(-u^2-1 < 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], [-7/
8, -7/8], [0, 0]]]], [[6, 5, 2, 3, 4], [v = 0, And(-1 < u,u < 0), x = -u^2-1,
And(-u^2-1 < y,y < -2*u^2), 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, 3, 5], [v = 0, And(-1 < u,u < 0), x = -u^2-1, And(-u^2-1 < y,y < -2*u^2)
, (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, 4, 1], [v = 0, And(0 < u,u < 1), And(-u^2-1
< x,x < -1), y = x-u^2+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, 4, 2], [v = 0, And(0
< u,u < 1), And(-u^2-1 < x,x < -1), y = x-u^2+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, 4, 3], [v = 0, And(0 < u,u < 1), And
(-u^2-1 < x,x < -1), y = x-u^2+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, 4, 4], [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x
< -1), y = x-u^2+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, 4,
5], [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -1), y = x-u^2+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, 1, 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], [-9, -9], [0,
0]]]], [[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 = 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, 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 = 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, 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 = 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, 6, 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, 6, 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, 2, 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, 2, 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, 2, 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, 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 < x, z = z], [regular_chain, [[1/2,
1/2], [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152]
, [-2, -2], [0, 0]]]], [[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(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-
(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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, z < u], [regular_chain, [[1
, 1], [-6598195/4194304, -6598195/4194304], [0, 0], [1297479/524288, 2594959/
1048576], [-3, -3]]]], [[8, 3, 6, 6, 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], [1297479/524288, 2594959/1048576], [-1649549/1048576
, -3299097/2097152]]]], [[8, 3, 6, 6, 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], [1297479/524288, 2594959/1048576], [-1/
4194304, -1/4194304]]]], [[8, 3, 6, 6, 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], [1297479/524288, 2594959/1048576], [412387/262144, 
1649549/1048576]]]], [[8, 3, 6, 6, 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], [1297479/524288, 2594959/1048576], [3, 3]]]], [[8, 5, 5, 5,
1], [v = 1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), And(x-u^2+2 < y,y
< 0), z < -(y-x)^(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(x-u^2+2 < y,y < 0), z = -(y-x)^(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(x-u^2+2 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x-
u^2+2 < y,y < 0), z = (y-x)^(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(x-u^2+2 < y,y < 0), (y-x)
^(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 = 0, z < -(-x)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-569265/2097152, -569265/2097152], [0, 0], [-2, -2]]]], [[8, 11, 7,
4, 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, 4, 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, 4, 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, 4, 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, 6, 1, 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],
[-2, -2], [0, 0]]]], [[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(0 < y,y < u^2-v^2-1), z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [6860721/1048576, 3430361/524288]
, [6860721/2097152, 6860721/2097152], [0, 0]]]], [[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 = 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [501965/2097152, 501965/2097152], [0, 0]
, [0, 0]]]], [[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 = 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], [980471/1048576, 122559/131072],
[-3, -3]]]], [[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 = 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], [980471/1048576, 122559/131072],
[-1270261/1048576, -317565/262144]]]], [[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 = 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], [980471/1048576, 122559/131072], [0, 0]]]], [[9, 13, 6, 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 = 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], [980471/1048576, 122559/131072], [317565/262144, 1270261/1048576]]]],
[[9, 13, 6, 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 = 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], [980471/1048576, 122559/131072], [3, 3]]]], [[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(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z =
-(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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
(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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(x < y,y < u^2+x-1), z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [7/2, 7/2], [15/2,
15/2], [-3, -3]]]], [[10, 1, 9, 7, 2], [v = 2^(1/2), u < -2, And(1 < x,x < u^2
-3), And(x < y,y < u^2+x-1), z = -(y-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [7/2, 7/2], [15/2, 15/2], [-2, -2]]]], [[
10, 1, 9, 7, 3], [v = 2^(1/2), u < -2, And(1 < x,x < u^2-3), And(x < y,y < u^2
+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288
, 1482911/1048576], [-3, -3], [7/2, 7/2], [15/2, 15/2], [0, 0]]]], [[10, 1, 9,
7, 4], [v = 2^(1/2), u < -2, And(1 < x,x < u^2-3), And(x < y,y < u^2+x-1), z =
(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [7/
2, 7/2], [15/2, 15/2], [2, 2]]]], [[10, 1, 9, 7, 5], [v = 2^(1/2), u < -2, And
(1 < x,x < u^2-3), And(x < y,y < u^2+x-1), (y-x)^(1/2) < z], [regular_chain, [
[741455/524288, 1482911/1048576], [-3, -3], [7/2, 7/2], [15/2, 15/2], [3, 3]]]
], [[10, 3, 6, 6, 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], [2602619/1048576, 650655/262144],
[-3, -3]]]], [[10, 3, 6, 6, 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], [2602619/1048576, 
650655/262144], [-825991/524288, -3303963/2097152]]]], [[10, 3, 6, 6, 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], [2602619/1048576, 650655/262144],
[-1/4194304, -1/4194304]]]], [[10, 3, 6, 6, 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], [
2602619/1048576, 650655/262144], [1651981/1048576, 825991/524288]]]], [[10, 3,
6, 6, 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], [2602619/1048576, 650655/262144], [3, 3]]]], [[10
, 9, 6, 7, 1], [v = 2^(1/2), And(-1 < u,u < 0), x = 0, -u^2+3 < y, z < -y^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [0, 0], [
4, 4], [-3, -3]]]], [[10, 9, 6, 7, 2], [v = 2^(1/2), And(-1 < u,u < 0), x = 0,
-u^2+3 < y, z = -y^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1/2, -1/2], [0, 0], [4, 4], [-2, -2]]]], [[10, 9, 6, 7, 3], [v = 2^(1/2), 
And(-1 < u,u < 0), x = 0, -u^2+3 < y, 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, 7, 4], [v = 2^(1/2), And(-1 < u,u < 0), x = 0, -u^2+3
< y, z = y^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -\
1/2], [0, 0], [4, 4], [2, 2]]]], [[10, 9, 6, 7, 5], [v = 2^(1/2), And(-1 < u,u
< 0), x = 0, -u^2+3 < y, y^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [0, 0], [4, 4], [3, 3]]]], [[10, 11, 3, 8, 1],
[v = 2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), y = x-u^2+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, 8, 2], [v = 2^(1/2), And(0
< u,u < 1), And(u^2-3 < x,x < -1), y = x-u^2+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, 8, 3], [v =
2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), y = x-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], [-15/8, -15/8], [7/8, 7/8], [-1/4194304, -1/4194304]]]],
[[10, 11, 3, 8, 4], [v = 2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), y =
x-u^2+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, 8, 5], [v = 2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), y
= x-u^2+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, 4, 6, 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, 6, 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, 6, 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, 6
, 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, 6, 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, 5, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,
x < -1), And(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [3913339/2097152, 3913339/2097152], [-3651195/2097152, -\
3651195/2097152], [-3651195/4194304, -3651195/4194304], [-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(x
< y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [-3651195/2097152, -3651195/
2097152], [-3651195/4194304, -3651195/4194304], [-3913339/4194304, -7826677/
8388608]]]], [[10, 17, 3, 5, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-u^
2+1 < x,x < -1), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-3651195/2097152, -3651195/2097152], [-3651195/4194304, -3651195/
4194304], [-5/16777216, -5/16777216]]]], [[10, 17, 3, 5, 4], [v = 2^(1/2), And
(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), And(x < y,y < 0), z = (y-x)^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [-3651195/2097152, -3651195/2097152], [-3651195/4194304, -\
3651195/4194304], [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(x < y,y < 0), (y-
x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [-3651195/2097152, -3651195/2097152], [-3651195/
4194304, -3651195/4194304], [2, 2]]]], [[10, 19, 2, 2, 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, 8, 1, 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], [-15, -15], [0, 0]]]], [[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(x-u^2+v^2+1 < y
,y < 0), z < -(y-x)^(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(x-u^2+v^2+1 < y,y < 0), z = -(y-x)^(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(x-u^2+v^2+1 < y,y < 0), And(-(
y-x)^(1/2) < z,z < (y-x)^(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(x-u^2+v^2+1 < y,y < 0), z = (y-x
)^(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(x-u^2+v^2+1 < y,y < 0), (y-x)^(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-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288], [2, 2],
[-3, -3]]]], [[11, 7, 5, 9, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
And(-1 < x,x < -u^2+v^2-1), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain
, [[3, 3], [-6111549/2097152, -6111549/2097152], [-391287/524288, -391287/
524288], [2, 2], [-1737703/1048576, -3475405/2097152]]]], [[11, 7, 5, 9, 3], [
2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), x-u^2
+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [
-6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288], [2, 2],
[-1/4194304, -1/4194304]]]], [[11, 7, 5, 9, 4], [2^(1/2) < v, And(-v < u,u < -
(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), x-u^2+v^2+1 < y, z = (y-x)^(1/2)],
[regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-391287/524288
, -391287/524288], [2, 2], [868851/524288, 1737703/1048576]]]], [[11, 7, 5, 9,
5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1),
x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152,
-6111549/2097152], [-391287/524288, -391287/524288], [2, 2], [3, 3]]]], [[11,
12, 9, 5, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), 1 < x, And(x-1 < y,y < 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), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 
2965821/1048576], [1/2, 1/2], [4, 4], [-3, -3]]]], [[11, 14, 7, 7, 2], [2^(1/2
) < v, u = (v^2-1)^(1/2), And(0 < x,x < 1), x+2 < y, z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [1/2, 1/2], [4, 4],
[-7846825/4194304, -980853/524288]]]], [[11, 14, 7, 7, 3], [2^(1/2) < v, u = (
v^2-1)^(1/2), And(0 < x,x < 1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [1/2, 1/2], [4,
4], [0, 0]]]], [[11, 14, 7, 7, 4], [2^(1/2) < v, u = (v^2-1)^(1/2), And(0 < x,
x < 1), x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 
2965821/1048576], [1/2, 1/2], [4, 4], [980853/524288, 1961707/1048576]]]], [[
11, 14, 7, 7, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), And(0 < x,x < 1), x+2 < y,
(y-x)^(1/2) < z], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [
1/2, 1/2], [4, 4], [3, 3]]]], [[11, 18, 9, 2, 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, 1, 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], [-2, -2], [0, 0]]]], [[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(0 < y,y < u^2-v^
2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851
/131072], [-1579769/2097152, -1579769/2097152], [388037/1048576, 388037/
1048576], [-3, -3]]]], [[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(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/
2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1579769/
2097152, -1579769/2097152], [388037/1048576, 388037/1048576], [-1111369/
1048576, -138921/131072]]]], [[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(0 < y,y < u^2-v^2+x+1), And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-1579769/2097152, -1579769/2097152], [388037/1048576, 388037/
1048576], [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(0 < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)],
[regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1579769/2097152
, -1579769/2097152], [388037/1048576, 388037/1048576], [138921/131072, 1111369
/1048576]]]], [[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(0 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1579769/2097152,
-1579769/2097152], [388037/1048576, 388037/1048576], [3, 3]]]], [[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 = -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], [133001/131072, 1064009/
1048576], [-3, -3]]]], [[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 = -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], [133001/131072, 1064009/1048576], [-1287385/1048576,
-160923/131072]]]], [[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 = -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], [133001/131072, 1064009/1048576], [0, 0]
]]], [[1, 7, 6, 6, 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], [
133001/131072, 1064009/1048576], [160923/131072, 1287385/1048576]]]], [[1, 7,
6, 6, 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], [133001/131072,
1064009/1048576], [3, 3]]]], [[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 = 0, z < -(-x)^(1/2)]
, [regular_chain, [[-3, -3], [0, 0], [-11/2, -11/2], [0, 0], [-4, -4]]]], [[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 = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [0, 0
], [-11/2, -11/2], [0, 0], [-2459129/1048576, -307391/131072]]]], [[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 = 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, 6, 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, 6, 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, 9, 9, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), 1 < x, x+3 < y, z < -
(y-x)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [2, 2]
, [6, 6], [-3, -3]]]], [[1, 12, 9, 9, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), 1
< x, x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576,
10837/4096], [2, 2], [6, 6], [-2, -2]]]], [[1, 12, 9, 9, 3], [v < -2^(1/2), u
= (v^2-2)^(1/2), 1 < x, x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [2, 2], [6, 6], [0, 0
]]]], [[1, 12, 9, 9, 4], [v < -2^(1/2), u = (v^2-2)^(1/2), 1 < x, x+3 < y, z =
(y-x)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [2, 2]
, [6, 6], [2, 2]]]], [[1, 12, 9, 9, 5], [v < -2^(1/2), u = (v^2-2)^(1/2), 1 <
x, x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [2774271/1048576, 
10837/4096], [2, 2], [6, 6], [3, 3]]]], [[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, 3 < y, z < -y^(1/2)], [regular_chain,
[[-3, -3], [3477733/1048576, 1738867/524288], [0, 0], [4, 4], [-3, -3]]]], [[1
, 20, 6, 7, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 0, 3 < y, z = -y^(1/2)],
[regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [0, 0], [4, 4],
[-2, -2]]]], [[1, 20, 6, 7, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 0, 3 < y
, 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, 7, 4], [v < -2^(1/2),
u = (v^2+2)^(1/2), x = 0, 3 < y, z = y^(1/2)], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [0, 0], [4, 4], [2, 2]]]], [[1, 20, 6, 7, 5]
, [v < -2^(1/2), u = (v^2+2)^(1/2), x = 0, 3 < y, y^(1/2) < z], [regular_chain
, [[-3, -3], [3477733/1048576, 1738867/524288], [0, 0], [4, 4], [3, 3]]]], [[2
, 3, 1, 7, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, And(u^2+x-\
1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [-4, -4], [-3183369/4194304, -\
3183369/4194304], [-3, -3]]]], [[2, 3, 1, 7, 2], [v = -2^(1/2), And(-2 < u,u <
-3^(1/2)), x < -u^2+1, And(u^2+x-1 < y,y < 0), z = -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-4, -4], [-3183369/4194304, -3183369/4194304], [-7550943/
4194304, -3775471/2097152]]]], [[2, 3, 1, 7, 3], [v = -2^(1/2), And(-2 < u,u <
-3^(1/2)), x < -u^2+1, And(u^2+x-1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^
(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [-4, -4], [-3183369/4194304, -3183369/4194304], [-\
1/4194304, -1/4194304]]]], [[2, 3, 1, 7, 4], [v = -2^(1/2), And(-2 < u,u < -3^
(1/2)), x < -u^2+1, And(u^2+x-1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-4
, -4], [-3183369/4194304, -3183369/4194304], [1887735/1048576, 235967/131072]]
]], [[2, 3, 1, 7, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, And
(u^2+x-1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3913339/2097152, -3913339/2097152], [-4, -4], [-3183369/
4194304, -3183369/4194304], [3, 3]]]], [[2, 5, 1, 1, 1], [v = -2^(1/2), And(-3
^(1/2) < u,u < v), x < -u^2+1, y < x, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-3, -3], [-4,
-4], [0, 0]]]], [[2, 7, 3, 2, 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],
[-1333209/1048576, -166651/131072], [-1, -1]]]], [[2, 7, 3, 2, 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], [-1333209/1048576, -166651/131072], [0, 0]
]]], [[2, 7, 3, 2, 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], [-\
1333209/1048576, -166651/131072], [1, 1]]]], [[2, 9, 2, 3, 1], [v = -2^(1/2),
And(-1 < u,u < 0), x = u^2-3, And(2*u^2-4 < y,y < u^2-3), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-11/4, -11/
4], [-25/8, -25/8], [0, 0]]]], [[2, 12, 7, 6, 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, 6, 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, 6, 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, 6, 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, 6
, 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, 7, 1], [v = -2^(1/2), u = -v, x = 1, 2 < y, z < -
(y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/
524288, 1482911/1048576], [1, 1], [3, 3], [-3, -3]]]], [[2, 14, 6, 7, 2], [v =
-2^(1/2), u = -v, x = 1, 2 < y, 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, 7, 3], [v = -2^(1/2), u = -v,
x = 1, 2 < y, 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, 7, 4], [v = -2^(1/2), u = -v, x = 1, 2 < y, 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, 7, 5], [v = -2^(1/2), u = -v, x = 1, 2 < y, (y-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [1, 1], [3, 3], [3, 3]]]], [[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(x-u^2+v^2+1 < y,y < x)
, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-\
10006449/2097152, -10006449/2097152], [-33734339/4194304, -33734339/4194304],
[0, 0]]]], [[3, 2, 9, 6, 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, 6,
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, 6, 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, 6, 7, 7, 1], [And(-2^(1/2) < v,v < -1), u = v, 1 <
x, x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [4, 4], [-3, -3]]]], [
[3, 6, 7, 7, 2], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, x+1 < y, z = -(y-x)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [2, 2], [4, 4], [-1482911/1048576, -741455/524288]
]]], [[3, 6, 7, 7, 3], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, x+1 < y, And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [4, 4], [0, 0]
]]], [[3, 6, 7, 7, 4], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, x+1 < y, z = (
y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [2, 2], [4, 4], [741455/524288, 1482911/1048576]]]
], [[3, 6, 7, 7, 5], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, x+1 < y, (y-x)^(
1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [2, 2], [4, 4], [3, 3]]]], [[3, 8, 9, 1, 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], [-1, -1], [0, 0]]]], [[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, 4 < y, z < -(y-1)^(1/2)], [regular_chain, [[-1, -1], [-\
1816187/1048576, -3632373/2097152], [1, 1], [5, 5], [-3, -3]]]], [[4, 2, 8, 7,
2], [v = -1, u = -3^(1/2), x = 1, 4 < y, z = -(y-1)^(1/2)], [regular_chain, [[
-1, -1], [-1816187/1048576, -3632373/2097152], [1, 1], [5, 5], [-2, -2]]]], [[
4, 2, 8, 7, 3], [v = -1, u = -3^(1/2), x = 1, 4 < y, 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, 7, 4], [v = -1, u = -3^(1/2), x = 1, 4
< y, z = (y-1)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/
2097152], [1, 1], [5, 5], [2, 2]]]], [[4, 2, 8, 7, 5], [v = -1, u = -3^(1/2),
x = 1, 4 < y, (y-1)^(1/2) < z], [regular_chain, [[-1, -1], [-1816187/1048576,
-3632373/2097152], [1, 1], [5, 5], [3, 3]]]], [[4, 6, 7, 3, 1], [v = -1, u = -\
1, 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[-1, -1], [-1, -1], [2, 2
], [1, 1], [0, 0]]]], [[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 < -1, z = z], [regular_chain, [[-1, -1],
[908093/524288, 1816187/1048576], [0, 0], [-2, -2], [0, 0]]]], [[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 = 0,
z < -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8, -43/8], [0,
0], [-4, -4]]]], [[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 = 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, 6, 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, 6, 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, 6, 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, 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 < x-u^2+v^2+1), z < -(y-x
)^(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 < x-u^2+v^2+1), z = -(y-x)^(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 < x-u^2+v^2+
1), And(-(y-x)^(1/2) < z,z < (y-x)^(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 < x-u^2+v^2+1), z = (y-x)^(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 < x-u^2+v^2+1), (y-x)^(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 = x-u^2+v^2+1, z
< -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-2521309/2097152, -2521309/2097152], [-159059/262144, -\
1272471/2097152], [-2, -2]]]], [[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 = x-u^2+v^2+1, z = -(-u^2+
v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [-2521309/2097152, -2521309/2097152], [-159059/262144, -1272471/
2097152], [-1618333/2097152, -3236665/4194304]]]], [[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 = x-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], [-2521309/2097152, -2521309
/2097152], [-159059/262144, -1272471/2097152], [-1/8388608, -1/8388608]]]], [[
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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [1696631/2097152, 1696631/2097152], [-2521309/2097152, -2521309/
2097152], [-159059/262144, -1272471/2097152], [404583/524288, 809167/1048576]]
]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-2521309/
2097152, -2521309/2097152], [-159059/262144, -1272471/2097152], [2, 2]]]], [[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 < 0), 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, 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^2-1 < y,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], [-1291597/1048576, -1291597/1048576], [-1163761/
1048576, -72735/65536]]]], [[5, 11, 2, 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^2-1 < 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], [343151/262144, 343151/262144], [-2583195/1048576, -1291597/524288], [-\
1291597/1048576, -1291597/1048576], [0, 0]]]], [[5, 11, 2, 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
-1 < y,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], [-1291597/
1048576, -1291597/1048576], [72735/65536, 1163761/1048576]]]], [[5, 11, 2, 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^2-1 < y,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],
[-1291597/1048576, -1291597/1048576], [3, 3]]]], [[6, 1, 6, 5, 1], [v = 0, u <
-2^(1/2), x = 0, And(0 < y,y < u^2+1), z < -y^(1/2)], [regular_chain, [[0, 0],
[-3, -3], [0, 0], [5, 5], [-4, -4]]]], [[6, 1, 6, 5, 2], [v = 0, u < -2^(1/2),
x = 0, And(0 < y,y < u^2+1), z = -y^(1/2)], [regular_chain, [[0, 0], [-3, -3],
[0, 0], [5, 5], [-146543/65536, -2344687/1048576]]]], [[6, 1, 6, 5, 3], [v = 0
, u < -2^(1/2), x = 0, And(0 < y,y < u^2+1), And(-y^(1/2) < z,z < y^(1/2))], [
regular_chain, [[0, 0], [-3, -3], [0, 0], [5, 5], [0, 0]]]], [[6, 1, 6, 5, 4],
[v = 0, u < -2^(1/2), x = 0, And(0 < y,y < u^2+1), z = y^(1/2)], [
regular_chain, [[0, 0], [-3, -3], [0, 0], [5, 5], [2344687/1048576, 146543/
65536]]]], [[6, 1, 6, 5, 5], [v = 0, u < -2^(1/2), x = 0, And(0 < y,y < u^2+1)
, y^(1/2) < z], [regular_chain, [[0, 0], [-3, -3], [0, 0], [5, 5], [4, 4]]]],
[[6, 3, 4, 1, 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], [-3,
-3], [0, 0]]]], [[6, 9, 3, 5, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(-u^2-1 <
x,x < -1), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x
< y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = x+3, z < -3^(1/2)], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [2, 2], [5, 5], [-3,
-3]]]], [[6, 10, 9, 8, 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, 8, 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, 8, 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, 8, 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, 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 < -(u^2-v^2+1)^
(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1, -1
], [767309/524288, 1534619/1048576], [-3, -3]]]], [[7, 3, 4, 8, 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], [767309/524288, 1534619/1048576], [-3291611/2097152, -\
1645805/1048576]]]], [[7, 3, 4, 8, 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], [767309/524288, 1534619/1048576], [0, 0]]]], [[7, 3, 4, 8, 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], [767309/524288, 1534619/1048576], [1645805/1048576,
822903/524288]]]], [[7, 3, 4, 8, 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], [
767309/524288, 1534619/1048576], [3, 3]]]], [[7, 5, 4, 2, 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, 2, 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, 2, 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, 8, 3, 1], [v = 1, u < -3^(1/2), x = 1, And(-u^2+3 < y,y < 0), z = z], [
regular_chain, [[1, 1], [-3, -3], [1, 1], [-3, -3], [0, 0]]]], [[8, 3, 5, 2, 1
], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), y = x-u^2+2, z =
z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2
], [-32707021/33554432, -8176755/8388608], [0, 0]]]], [[8, 7, 5, 9, 1], [v = 1
, And(-1 < u,u < 0), And(-1 < x,x < -u^2), x-u^2+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [3, 3], [-3, -3]]]], [[8,
7, 5, 9, 2], [v = 1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), x-u^2+2 < y, z =
-(y-x)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [3, 3], [-\
7985717/4194304, -15971433/8388608]]]], [[8, 7, 5, 9, 3], [v = 1, And(-1 < u,u
< 0), And(-1 < x,x < -u^2), x-u^2+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [3, 3], [-1/16777216,
-1/16777216]]]], [[8, 7, 5, 9, 4], [v = 1, And(-1 < u,u < 0), And(-1 < x,x < -
u^2), x-u^2+2 < y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-\
5/8, -5/8], [3, 3], [1996429/1048576, 998215/524288]]]], [[8, 7, 5, 9, 5], [v
= 1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), x-u^2+2 < y, (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [3, 3], [3, 3]]]], [[8, 9,
4, 8, 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, 8, 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, 8, 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, 8, 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, 8
, 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, 2, 1], [v = 1, 3^(1/2) < u, And(-u^2 < x,x < -1), y = x-u^2+2, z = z], [
regular_chain, [[1, 1], [3, 3], [-5, -5], [-12, -12], [0, 0]]]], [[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 < -(u
^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3
], [1, 1], [10006449/1048576, 5003225/524288], [-4, -4]]]], [[9, 1, 8, 8, 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], [10006449/1048576, 5003225/524288], [-1532401/524288, -24518415/8388608
]]]], [[9, 1, 8, 8, 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], [
10006449/1048576, 5003225/524288], [-7/16777216, -7/16777216]]]], [[9, 1, 8, 8
, 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], [10006449/1048576, 5003225/524288], [3064801/1048576, 1532401/
524288]]]], [[9, 1, 8, 8, 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], [10006449/1048576, 5003225/524288], [4, 4]
]]], [[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 < u^2-v^2-1, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1116679/2097152, -\
558339/1048576], [-2, -2], [0, 0]]]], [[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 < -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], [598205/1048576, 598205/1048576], [-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 < -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], [598205/1048576, 598205/1048576], [-8796092304775/
8796093022208, -4398046152387/4398046511104]]]], [[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 < -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], [598205/1048576, 598205/
1048576], [-3835587/8796093022208, -3835587/8796093022208]]]], [[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 < -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], [598205/1048576, 598205/1048576], [1048575/
1048576, 1]]]], [[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 < -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], [598205/1048576, 598205/
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(0 < y,y < x), 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 = -u^2+v^2-1, z < 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-112593/262144, -450371/1048576],
[-112593/262144, -450371/1048576], [-1, -1]]]], [[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 = -u^2+v^2-1, z
= 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [-112593/262144, -450371/1048576], [-112593/262144, -450371/
1048576], [0, 0]]]], [[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 = -u^2+v^2-1, 0 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-112593/
262144, -450371/1048576], [-112593/262144, -450371/1048576], [1, 1]]]], [[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 = x-u^2+v^2+1, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [501965/
2097152, 501965/2097152], [-250983/1048576, -125491/524288], [0, 0]]]], [[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 = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1, -1
], [-9, -9], [0, 0]]]], [[10, 5, 7, 6, 1], [v = 2^(1/2), And(-3^(1/2) < u,u <
-v), And(u^2-3 < x,x < 0), y = x-u^2+3, z < -(-u^2+3)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
1101539/4194304, -1101539/4194304], [34423/131072, 275385/1048576], [-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 = x-u^2+3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1101539/4194304, -\
1101539/4194304], [34423/131072, 275385/1048576], [-379975/524288, -1519899/
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 = x-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], [-1101539/4194304, -1101539/4194304], [34423/131072, 275385/1048576]
, [-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 = x-u^2+3, z = (-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1101539/4194304, -1101539/4194304], [34423/131072, 275385/1048576]
, [759949/1048576, 379975/524288]]]], [[10, 5, 7, 6, 5], [v = 2^(1/2), And(-3^
(1/2) < u,u < -v), And(u^2-3 < x,x < 0), y = x-u^2+3, (-u^2+3)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1101539/4194304, -1101539/4194304], [34423/131072, 275385/1048576]
, [2, 2]]]], [[10, 7, 8, 1, 1], [v = 2^(1/2), And(-v < u,u < -1), x = 0, y < 0
, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576
, -1265743/1048576], [0, 0], [-1, -1], [0, 0]]]], [[10, 11, 5, 3, 1], [v = 2^(
1/2), And(0 < u,u < 1), And(-1 < x,x < 0), And(u^2+x-1 < y,y < x), 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, 2, 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, 2, 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, 2, 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, 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 < -(y+1)^(1/2)], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [-1, -1], [3, 3], [-3, -3]]]], [[11, 3, 4,
9, 2], [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 = -(y+1)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [-1, -1], [3, 3], [-2, -2]]]], [[11, 3, 4, 9, 3], [2^(1/2) <
v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, u^2-v^2 < y, And(-(y+1)
^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [-1, -1], [3, 3], [0, 0]]]], [[11, 3, 4, 9, 4], [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 = (y+1)^(
1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1, -1]
, [3, 3], [2, 2]]]], [[11, 3, 4, 9, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), x = -1, u^2-v^2 < y, (y+1)^(1/2) < z], [regular_chain, [[3,
3], [-3396811/1048576, -3396811/1048576], [-1, -1], [3, 3], [3, 3]]]], [[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 = 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], [258691/
1048576, 64673/262144], [-3, -3]]]], [[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 = 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], [258691/1048576, 64673/262144], [-1281417/
1048576, -160177/131072]]]], [[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 = u^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], [258691/1048576, 64673/
262144], [0, 0]]]], [[11, 5, 3, 8, 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], [258691/1048576, 64673/262144], [160177/131072, 1281417/
1048576]]]], [[11, 5, 3, 8, 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], [258691/1048576, 64673/262144], [3, 3]]]], [[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 < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [-1, -1], [1581611/1048576, 395403/262144], [-3, -3]]]], [[
11, 9, 4, 8, 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], [1581611/1048576, 395403/
262144], [-3321417/2097152, -415177/262144]]]], [[11, 9, 4, 8, 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], [1581611/1048576, 395403/
262144], [0, 0]]]], [[11, 9, 4, 8, 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], [
1581611/1048576, 395403/262144], [415177/262144, 1660709/1048576]]]], [[11, 9,
4, 8, 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], [1581611/1048576, 395403/262144], [3, 3
]]]], [[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-u^2+v^2+1 < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [0, 0], [-11, -11], [-1/2, -1/2], [-5, -5]]]], [[11, 
11, 1, 7, 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(x-u^2+v^2+1 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[3, 3]
, [0, 0], [-11, -11], [-1/2, -1/2], [-3397775/1048576, -1698887/524288]]]], [[
11, 11, 1, 7, 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(x-u^2+v^2+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[3, 3], [0, 0], [-11, -11], [-1/2, -1/2], [0, 0]]]], [[11, 11
, 1, 7, 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(x-u^2+v^2+1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [
0, 0], [-11, -11], [-1/2, -1/2], [1698887/524288, 3397775/1048576]]]], [[11, 
11, 1, 7, 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(x-u^2+v^2+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[3, 3],
[0, 0], [-11, -11], [-1/2, -1/2], [5, 5]]]], [[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 < 0, z = z], [regular_chain, [[3, 3], [207243/65536, 
3315889/1048576], [1/2, 1/2], [-1, -1], [0, 0]]]], [[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 < -(u^2
-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [8, 8], [25, 25], [-6, -6
]]]], [[1, 1, 9, 8, 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, 8
, 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, 8, 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, 8, 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, 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 = 0, z = z], [regular_chain, [[-3, -3], [-3396811/1048576, -\
3396811/1048576], [129511/524288, 129511/524288], [0, 0], [0, 0]]]], [[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-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [3, 3], [-3, -\
3]]]], [[1, 7, 7, 9, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^
2+v^2-1 < x,x < 0), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3,
-3], [-6111549/2097152, -6111549/2097152], [-516571/2097152, -516571/2097152],
[3, 3], [-1889277/1048576, -7557107/4194304]]]], [[1, 7, 7, 9, 3], [v < -2^(1/
2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), x-u^2+v^2+1 < y,
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [3, 3], [-3/
8388608, -3/8388608]]]], [[1, 7, 7, 9, 4], [v < -2^(1/2), And(v < u,u < -(v^2-\
1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-516571/
2097152, -516571/2097152], [3, 3], [472319/262144, 1889277/1048576]]]], [[1, 7
, 7, 9, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x
< 0), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [3, 3], [3, 3]
]]], [[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 < 0), z = z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [533035/
2097152, 533035/2097152], [-133259/1048576, -133259/1048576], [0, 0]]]], [[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 =
x, z < 0], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3,
-3], [-3, -3], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-3, -3], [-3, -3], [0, 0]]]], [[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 = x, 0 <
z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3, -3], [
-3, -3], [1, 1]]]], [[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 < -u^2+v^2-1, z = z], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-195745/131072, -1565959/1048576], [-3, -3], [
0, 0]]]], [[1, 20, 8, 1, 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], [-\
1, -1], [0, 0]]]], [[2, 1, 5, 4, 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, 4, 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, 4,
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, 6, 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, 6, 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, 6, 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, 6, 1, 1], [v = -2
^(1/2), u = 1, x = 0, y < 0, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [0, 0], [-1, -1], [0, 0]]]], [[2, 16, 7, 1, 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]
, [-1, -1], [0, 0]]]], [[2, 18, 4, 8, 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, 8, 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, 8,
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, 8, 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, 8, 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, 7, 3, 1
], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(0 < y,
y < x), 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
, 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 = 0, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[3, 12, 6, 3, 1], [And(-2^(1/2) < v,
v < -1), u = -v, x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [1/2,
1/2], [0, 0]]]], [[3, 14, 8, 5, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/
2), x = 1, And(1 < y,y < 3), z < -(y-1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [1, 1], [2, 2],
[-2, -2]]]], [[3, 14, 8, 5, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2),
x = 1, And(1 < y,y < 3), z = -(y-1)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [1643659/1048576, 410915/262144], [1, 1], [2, 2], [-1, -1
]]]], [[3, 14, 8, 5, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = 1,
And(1 < y,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],
[2, 2], [0, 0]]]], [[3, 14, 8, 5, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(
1/2), x = 1, And(1 < y,y < 3), z = (y-1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [1, 1], [2, 2],
[1, 1]]]], [[3, 14, 8, 5, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x
= 1, And(1 < y,y < 3), (y-1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1643659/1048576, 410915/262144], [1, 1], [2, 2], [2, 2]]]],
[[3, 16, 6, 1, 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], [-2, -2], [0, 0]]]], [[4, 3, 1, 1, 1], [v = -1, 
And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, y < x-u^2+2, z = z], [regular_chain,
[[-1, -1], [-6598195/4194304, -6598195/4194304], [-4, -4], [-6, -6], [0, 0]]]]
, [[4, 4, 9, 2, 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, 11, 1, 6, 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], [-3235683/2097152, -1617841/1048576], [-3, -3]]]], [[4, 11, 1, 6, 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], [-\
3235683/2097152, -1617841/1048576], [-1265743/1048576, -1265743/1048576]]]], [
[4, 11, 1, 6, 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], [-3235683/2097152, -1617841/1048576], [0, 0]]]], [[4, 11, 1, 6, 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], [-3235683/2097152, -\
1617841/1048576], [1265743/1048576, 1265743/1048576]]]], [[4, 11, 1, 6, 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], [-3235683/2097152, -\
1617841/1048576], [3, 3]]]], [[4, 12, 9, 7, 1], [v = -1, u = 2^(1/2), 1 < x, x
+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [2, 2], [5, 5], [-3, -3]]]], [[4, 12, 9, 7, 2], [v = -1, u = 2^(1/2)
, 1 < x, x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [741455/524288
, 1482911/1048576], [2, 2], [5, 5], [-1816187/1048576, -3632373/2097152]]]], [
[4, 12, 9, 7, 3], [v = -1, u = 2^(1/2), 1 < x, x+2 < y, And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576],
[2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[4, 12, 9, 7, 4], [v = -1, u = 2
^(1/2), 1 < x, x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [741455/
524288, 1482911/1048576], [2, 2], [5, 5], [908093/524288, 1816187/1048576]]]],
[[4, 12, 9, 7, 5], [v = -1, u = 2^(1/2), 1 < x, x+2 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [2, 2], [5, 5], [3
, 3]]]], [[5, 1, 4, 7, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = -1, And
(0 < y,y < u^2-v^2), z < -(y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3
], [-1, -1], [35/8, 35/8], [-4, -4]]]], [[5, 1, 4, 7, 2], [And(-1 < v,v < 0),
u < -(v^2+2)^(1/2), x = -1, And(0 < y,y < u^2-v^2), z = -(y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-1, -1], [35/8, 35/8], [-151939/65536
, -2431023/1048576]]]], [[5, 1, 4, 7, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/
2), x = -1, And(0 < y,y < u^2-v^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-1, -1], [35/8, 35/8], [0, 0]]]], [[5
, 1, 4, 7, 4], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = -1, And(0 < y,y < u
^2-v^2), z = (y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1, -1],
[35/8, 35/8], [2431023/1048576, 151939/65536]]]], [[5, 1, 4, 7, 5], [And(-1 <
v,v < 0), u < -(v^2+2)^(1/2), x = -1, And(0 < y,y < u^2-v^2), (y+1)^(1/2) < z]
, [regular_chain, [[-1/2, -1/2], [-3, -3], [-1, -1], [35/8, 35/8], [4, 4]]]],
[[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 < -2*u^2+2*v^2, z = z], [regular_chain, [[-1/2, -1/2], [
-343151/262144, -343151/262144], [-2583195/1048576, -1291597/524288], [-4, -4]
, [0, 0]]]], [[5, 12, 8, 1, 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], [-1, -1], [0
, 0]]]], [[6, 1, 5, 4, 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, 4, 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, 4, 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, 2, 2, 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, 2, 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, 2, 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, 3, 1], [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -1), And(x < y,y
< x-u^2+1), z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/
8], [-3/4, -3/4], [-2, -2]]]], [[6, 7, 3, 3, 2], [v = 0, And(0 < u,u < 1), And
(-u^2-1 < x,x < -1), And(x < y,y < x-u^2+1), z = -(y-x)^(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, 3, 3], [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -1
), And(x < y,y < x-u^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8], [-3/4, -3/4], [0, 0]]]], [[6
, 7, 3, 3, 4], [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -1), And(x < y,y <
x-u^2+1), z = (y-x)^(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, 3, 5], [v = 0, And
(0 < u,u < 1), And(-u^2-1 < x,x < -1), And(x < y,y < x-u^2+1), (y-x)^(1/2) < z
], [regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8], [-3/4, -3/4], [2, 2]]]],
[[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 = z], [regular_chain, [[1/2, 1/2], [-3, -3], [0, 0], [-31/4, -31/4], [0, 0
]]]], [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(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, 7, 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 < u^2-v^2+x+1), z = -(y-x)^(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, 7, 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 < u^2-
v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 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 < u^2-v^2+x+1), z = (y-x)^(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, 7, 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 < u^2-v^2+x+1), (y-x)^(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, 4, 1, 1], [And(
0 < v,v < 1), And(-v < u,u < v), x = -1, y < -1, z = z], [regular_chain, [[1/2
, 1/2], [0, 0], [-1, -1], [-2, -2], [0, 0]]]], [[7, 9, 4, 9, 1], [And(0 < v,v
< 1), And(v < u,u < (v^2+1)^(1/2)), x = -1, u^2-v^2 < y, z < -(y+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [2,
2], [-3, -3]]]], [[7, 9, 4, 9, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1
/2)), x = -1, u^2-v^2 < y, z = -(y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [-1, -1], [2, 2], [-1816187/1048576, -\
3632373/2097152]]]], [[7, 9, 4, 9, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1
)^(1/2)), x = -1, u^2-v^2 < y, 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], [-1/4194304, -1/4194304]]]], [[7, 9, 4, 9, 4], [And(0 < v,v < 1), And(v <
u,u < (v^2+1)^(1/2)), x = -1, u^2-v^2 < y, z = (y+1)^(1/2)], [regular_chain, [
[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [2, 2], [908093/
524288, 1816187/1048576]]]], [[7, 9, 4, 9, 5], [And(0 < v,v < 1), And(v < u,u
< (v^2+1)^(1/2)), x = -1, u^2-v^2 < y, (y+1)^(1/2) < z], [regular_chain, [[1/2
, 1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [2, 2], [3, 3]]]], [[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 = 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, 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 = 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, 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 = x, 0 < z], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1/2, -1/2], [-1/
2, -1/2], [1, 1]]]], [[7, 13, 2, 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 = z], [regular_chain,
[[1/2, 1/2], [3, 3], [-39/4, -39/4], [-109/8, -109/8], [0, 0]]]], [[8, 3, 6, 7
, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0, u^2 < y, z < -y^(1/2)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [0, 0], [4, 4],
[-3, -3]]]], [[8, 3, 6, 7, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0,
u^2 < y, z = -y^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [0, 0], [4, 4], [-2, -2]]]], [[8, 3, 6, 7, 3], [v = 1, And(-3^(1/2)
< u,u < -2^(1/2)), x = 0, u^2 < y, 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, 7, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0, u^
2 < y, z = y^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [0, 0], [4, 4], [2, 2]]]], [[8, 3, 6, 7, 5], [v = 1, And(-3^(1/2) <
u,u < -2^(1/2)), x = 0, u^2 < y, y^(1/2) < z], [regular_chain, [[1, 1], [-\
6598195/4194304, -6598195/4194304], [0, 0], [4, 4], [3, 3]]]], [[8, 5, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 3, 1], [v = 1, And(1 < u,u < 2^(1/2))
, And(u^2-2 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [
[1, 1], [1265743/1048576, 1265743/1048576], [-569265/2097152, -569265/2097152]
, [-35579/262144, -35579/262144], [-2, -2]]]], [[8, 11, 7, 3, 2], [v = 1, And(
1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x
< 0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[1, 1], [1265743/1048576, 1265743/1048576], [-569265/2097152, -569265/
2097152], [-35579/262144, -35579/262144], [0, 0]]]], [[8, 11, 7, 3, 4], [v = 1
, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = 1, And(1 < u,u < 2^(1/2)), And(u^2
-2 < x,x < 0), And(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [-35579
/262144, -35579/262144], [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 < y, z < -(y-x)^(1/2)], [regular_chain
, [[1, 1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [3, 3], [-3, -3]]
]], [[8, 13, 5, 9, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0)
, u^2+x < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [-1/2, -1/2], [3, 3], [-7846825/4194304, -980853/524288]]]],
[[8, 13, 5, 9, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), u^
2+x < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [-1/2, -1/2], [3, 3], [0, 0]]]], [[8, 13, 5
, 9, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), u^2+x < y, z
= (y-x)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [
-1/2, -1/2], [3, 3], [980853/524288, 1961707/1048576]]]], [[8, 13, 5, 9, 5], [
v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), u^2+x < y, (y-x)^(1/2)
< z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2
], [3, 3], [3, 3]]]], [[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], [
6860721/1048576, 3430361/524288], [-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], [6860721/1048576, 3430361/524288], [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], [6860721/1048576, 3430361/524288], [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(0 < y,y < x), 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 < 2*u^2-2*v^2), z < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-1116681/2097152, -139585/262144], [980471/2097152, 980471/2097152]
, [-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 < 2*u^2-2*v^2), z = -(y-u^2+v^2+1)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1116681/2097152, -139585/262144], [980471/2097152, 980471/
2097152], [-274877847231/274877906944, -4398045555695/4398046511104]]]], [[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 < 2*u^2-2*v^2), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+
1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-1116681/2097152, -139585/262144], [980471/2097152
, 980471/2097152], [-3238895/8796093022208, -3238895/8796093022208]]]], [[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 < 2*u^2-2*v^2), z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
1116681/2097152, -139585/262144], [980471/2097152, 980471/2097152], [1048575/
1048576, 1]]]], [[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 < 2*u^2-2*v^2), (y-u^2+v^2+1)^(1/2) < z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1116681/2097152, -139585/262144], [980471/2097152, 980471/
2097152], [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 = 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, 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 = 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, 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 =
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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 6, 7, 1], [v
= 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0, u^2-1 < y, z < -y^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [0, 0], [4, 4], [-3, -3]]]], [[10, 3, 6, 7, 2], [v = 2^(1/2), And(-2
< u,u < -3^(1/2)), x = 0, u^2-1 < y, z = -y^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [0, 0], [4, 4]
, [-2, -2]]]], [[10, 3, 6, 7, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x =
0, u^2-1 < y, 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, 7, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0, u^2-1 <
y, z = y^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [0, 0], [4, 4], [2, 2]]]], [[10, 3, 6, 7, 5], [v =
2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0, u^2-1 < y, y^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [0, 0], [4, 4], [3, 3]]]], [[10, 9, 6, 6, 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, 6, 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, 6,
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, 6, 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, 6, 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, 7, 1], [v = 2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), 
And(0 < y,y < x-u^2+3), z < -(y-x)^(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, 7, 2], [v = 2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), And(0 < y
,y < x-u^2+3), z = -(y-x)^(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, 7, 3], [v = 2^(1/2), And(0 < u,u < 1), And(u^2-3 < x
,x < -1), And(0 < y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 4], [v = 2^(1/2), 
And(0 < u,u < 1), And(u^2-3 < x,x < -1), And(0 < y,y < x-u^2+3), z = (y-x)^(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, 7, 5], [v
= 2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), And(0 < y,y < x-u^2+3), (y
-x)^(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, 4, 7, 1], [v = 2^(1/2), And
(v < u,u < 3^(1/2)), x = -1, And(0 < y,y < u^2-2), z < -(y+1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-1, -1], [497805/2097152, 497805/2097152], [-3, -3]]]], [[10, 15, 4
, 7, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -1, And(0 < y,y < u^2-2), z
= -(y+1)^(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, 7, 3], [v = 2^(1/2), And(v <
u,u < 3^(1/2)), x = -1, And(0 < y,y < u^2-2), And(-(y+1)^(1/2) < z,z < (y+1)^(
1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-1, -1], [497805/2097152, 497805/2097152], [0, 0]]]], [[10,
15, 4, 7, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -1, And(0 < y,y < u^2-\
2), z = (y+1)^(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, 7, 5], [v = 2^(1/2), And(v <
u,u < 3^(1/2)), x = -1, And(0 < y,y < u^2-2), (y+1)^(1/2) < z], [regular_chain
, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-1,
-1], [497805/2097152, 497805/2097152], [3, 3]]]], [[10, 17, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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
, 3, 1], [v = 2^(1/2), 2 < u, x = -u^2+1, And(-2*u^2+4 < y,y < -u^2+1), z = z]
, [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-8, -8], [-11, -\
11], [0, 0]]]], [[11, 1, 8, 2, 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, 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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1579769/2097152, -\
1579769/2097152], [-64673/262144, -258691/1048576], [-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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [-64673/262144,
-258691/1048576], [-373161/524288, -1492643/2097152]]]], [[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 = x-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], [-1579769/2097152, -1579769/
2097152], [-64673/262144, -258691/1048576], [-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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [-64673/
262144, -258691/1048576], [746321/1048576, 373161/524288]]]], [[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
= x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [-64673/262144,
-258691/1048576], [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-u^2+v^2+1, z < -(-u^2+v^2+1)
^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-\
391287/524288, -391287/524288], [399003/524288, 798007/1048576], [-3, -3]]]],
[[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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3,
3], [-6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288], [
399003/524288, 798007/1048576], [-1287385/1048576, -160923/131072]]]], [[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-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], [-391287/524288
, -391287/524288], [399003/524288, 798007/1048576], [0, 0]]]], [[11, 7, 5, 8,
4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1),
y = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-391287/524288, -391287/524288], [399003/524288,
798007/1048576], [160923/131072, 1287385/1048576]]]], [[11, 7, 5, 8, 5], [2^(1
/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = x-u^2
+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-391287/524288, -391287/524288], [399003/524288, 798007/
1048576], [3, 3]]]], [[11, 12, 9, 6, 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, 6, 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, 6, 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, 1, 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], [-1, -1], [0, 0]]]], [[11, 18, 9, 1, 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], [-1, -1], [0, 0]]]], [[11, 20, 5, 9, 1], [2^(1/2) <
v, u = (v^2+2)^(1/2), And(-1 < x,x < 0), x+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1/2, -1/2], [4, 4
], [-4, -4]]]], [[11, 20, 5, 9, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-1 <
x,x < 0), x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [3477733/
1048576, 1738867/524288], [-1/2, -1/2], [4, 4], [-1112183/524288, -2224365/
1048576]]]], [[11, 20, 5, 9, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-1 < x,x
< 0), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3]
, [3477733/1048576, 1738867/524288], [-1/2, -1/2], [4, 4], [0, 0]]]], [[11, 20
, 5, 9, 4], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-1 < x,x < 0), x+3 < y, z = (
y-x)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1/2
, -1/2], [4, 4], [2224365/1048576, 1112183/524288]]]], [[11, 20, 5, 9, 5], [2^
(1/2) < v, u = (v^2+2)^(1/2), And(-1 < x,x < 0), x+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1/2, -1/2], [4, 4
], [4, 4]]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3],
[-403851/131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [0, 0]
, [-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 = 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, 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 = 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, 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 = 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, 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 = 0, (-x)^(1/2) < z], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1579769/2097152,
-1579769/2097152], [0, 0], [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 < -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], [133001/262144, 133001/262144], [
-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 < -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], [133001/262144, 133001/262144], [-8796092106889/
8796093022208, -1099511513361/1099511627776]]]], [[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 < -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]
, [133001/262144, 133001/262144], [-934161/2199023255552, -934161/
2199023255552]]]], [[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 < -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], [133001/262144, 133001/262144], [1048575/1048576, 1]
]]], [[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 < -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], [133001/262144, 133001/262144], [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(0 < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [0,
0], [-11/2, -11/2], [9/4, 9/4], [-4, -4]]]], [[1, 11, 3, 7, 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-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-11
/2, -11/2], [9/4, 9/4], [-11676449/4194304, -364889/131072]]]], [[1, 11, 3, 7,
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-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[-3, -3], [0, 0], [-11/2, -11/2], [9/4, 9/4], [0, 0]]]], [[1,
11, 3, 7, 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-u^2+v^2+1), z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [0, 0], [-11/2, -11/2], [9/4, 9/4], [364889/131072,
2919113/1048576]]]], [[1, 11, 3, 7, 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-u^2+v^2+1), (y-
x)^(1/2) < z], [regular_chain, [[-3, -3], [0, 0], [-11/2, -11/2], [9/4, 9/4],
[4, 4]]]], [[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 < u^2-v^2+x+1, z = z], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [-4, -4], [-6, -6], [0, 0]]]], [[1, 18, 9, 3,
1], [v < -2^(1/2), u = (v^2+1)^(1/2), 1 < x, And(0 < y,y < x), z = z], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [2, 2], [1, 1], [0,
0]]]], [[1, 20, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8,
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, 5, 1, 2, 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, 2, 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, 2, 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, 3, 1, 1], [v = -2^(1
/2), And(v < u,u < -1), And(u^2-3 < x,x < -1), y < x, z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
2666417/2097152, -2666417/2097152], [-3, -3], [0, 0]]]], [[2, 9, 2, 2, 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, 12, 7, 7, 1], [v = -2^(1/2), u = 1, And(0 < x,x < 1), x+2 <
y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1,
1], [1/2, 1/2], [4, 4], [-3, -3]]]], [[2, 12, 7, 7, 2], [v = -2^(1/2), u = 1,
And(0 < x,x < 1), x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [1/2, 1/2], [4, 4], [-7846825/4194304, -\
980853/524288]]]], [[2, 12, 7, 7, 3], [v = -2^(1/2), u = 1, And(0 < x,x < 1),
x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [1/2, 1/2], [4, 4], [0, 0]]]], [[2, 12, 7, 7
, 4], [v = -2^(1/2), u = 1, And(0 < x,x < 1), x+2 < y, z = (y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [1/2, 1/2], [4, 4]
, [980853/524288, 1961707/1048576]]]], [[2, 12, 7, 7, 5], [v = -2^(1/2), u = 1
, And(0 < x,x < 1), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [1/2, 1/2], [4, 4], [3, 3]]]], [[2, 14, 7, 1
, 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], [-1, -1],
[0, 0]]]], [[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 = x-u^2+v^2+1, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/
2097152], [-5931973/524288, -11863945/1048576], [0, 0]]]], [[3, 2, 9, 5, 1], [
And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), 1 < x, And(x-1 < y,y < 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 < x, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3, -3], [-4, -4], [0, 0]]]], [[3, 8, 9, 2, 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, 5, 1], [v = -1, u < -3^(1/2), x = -u^2, And(-u
^2 < y,y < 0), z < -(u^2+y)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-9,
-9], [-9/2, -9/2], [-4, -4]]]], [[4, 1, 2, 5, 2], [v = -1, u < -3^(1/2), x = -
u^2, And(-u^2 < y,y < 0), 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
, 5, 3], [v = -1, u < -3^(1/2), x = -u^2, And(-u^2 < y,y < 0), 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, 5, 4], [v = -1, u < -3^(1/2), x = -u^2, And(
-u^2 < y,y < 0), 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, 5, 5], [v
= -1, u < -3^(1/2), x = -u^2, And(-u^2 < y,y < 0), (u^2+y)^(1/2) < z], [
regular_chain, [[-1, -1], [-3, -3], [-9, -9], [-9/2, -9/2], [4, 4]]]], [[4, 2,
9, 1, 1], [v = -1, u = -3^(1/2), 1 < x, y < 0, z = z], [regular_chain, [[-1, -\
1], [-1816187/1048576, -3632373/2097152], [2, 2], [-1, -1], [0, 0]]]], [[4, 6,
7, 2, 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, 3, 1], [v = -1, u = 0, x = 1, 
And(0 < y,y < 1), z = z], [regular_chain, [[-1, -1], [0, 0], [1, 1], [1/2, 1/2
], [0, 0]]]], [[4, 14, 6, 2, 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, 3, 7, 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 < u^2-v^2+x+1), z < -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8, -43/8], [35/16, 35/16], [-4, -\
4]]]], [[5, 1, 3, 7, 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 < u^2-v^2+x+1), z = -(y-x)^(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, 7, 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 < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8, -43/8], [35/16, 35/16], [0, 0]
]]], [[5, 1, 3, 7, 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 < u^2-v^2+x+1), z = (y-x)^(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, 7, 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 < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [
-3, -3], [-43/8, -43/8], [35/16, 35/16], [4, 4]]]], [[5, 4, 9, 3, 1], [And(-1
< v,v < 0), u = -(v^2+1)^(1/2), 1 < x, And(0 < y,y < x), z = z], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [2, 2], [1,
1], [0, 0]]]], [[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], [-9/4, -9/4], [-2, -2]]]], [[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], [-9/4, -9/4], [-\
1816187/2097152, -3632373/4194304]]]], [[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], [-9/
4, -9/4], [-1/8388608, -1/8388608]]]], [[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], [-9/4, -9/4], [908093/1048576,
454047/524288]]]], [[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], [-9/4, -9/4], [2, 2]]]], [[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(x-u^2
+v^2+1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [-1272471/
4194304, -1272471/4194304], [-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(x-u^2+v^2+1 < y
,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-2521309/2097152, -2521309/2097152], [-1272471/4194304, -\
1272471/4194304], [-15906297/16777216, -1988287/2097152]]]], [[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(x-u^2+v^2+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-2521309/
2097152, -2521309/2097152], [-1272471/4194304, -1272471/4194304], [-1/4194304,
-1/4194304]]]], [[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(x-u^2+v^2+1 < y,y < 0), z = (y-x)^(1/2)
], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-\
2521309/2097152, -2521309/2097152], [-1272471/4194304, -1272471/4194304], [
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(x-u^2+v^2+1 < y,y < 0)
, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [-2521309/2097152, -2521309/2097152], [-1272471/4194304, -1272471/
4194304], [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 = 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, 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 = 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, 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 = 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, 6
, 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, 6, 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, 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 < -(y-x)^(1/2)], [regular_chain, [[
0, 0], [-1265743/1048576, -1265743/1048576], [-1812519/1048576, -1812519/
1048576], [2, 2], [-3, -3]]]], [[6, 3, 3, 9, 2], [v = 0, And(-2^(1/2) < u,u <
-1), And(-u^2-1 < x,x < -1), u^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [
[0, 0], [-1265743/1048576, -1265743/1048576], [-1812519/1048576, -1812519/
1048576], [2, 2], [-8098975/4194304, -16197949/8388608]]]], [[6, 3, 3, 9, 3],
[v = 0, And(-2^(1/2) < u,u < -1), And(-u^2-1 < x,x < -1), u^2+x+1 < y, And(-(y
-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [-1265743/1048576, -\
1265743/1048576], [-1812519/1048576, -1812519/1048576], [2, 2], [-5/16777216,
-5/16777216]]]], [[6, 3, 3, 9, 4], [v = 0, And(-2^(1/2) < u,u < -1), And(-u^2-\
1 < x,x < -1), u^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [-1812519/1048576, -1812519/1048576], [2,
2], [2024743/1048576, 253093/131072]]]], [[6, 3, 3, 9, 5], [v = 0, And(-2^(1/2
) < u,u < -1), And(-u^2-1 < x,x < -1), u^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1812519/
1048576, -1812519/1048576], [2, 2], [3, 3]]]], [[6, 9, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 1], [v =
0, u = 2^(1/2), 1 < x, x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [
741455/524288, 1482911/1048576], [2, 2], [6, 6], [-3, -3]]]], [[6, 10, 9, 9, 2
], [v = 0, u = 2^(1/2), 1 < x, x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[0
, 0], [741455/524288, 1482911/1048576], [2, 2], [6, 6], [-2, -2]]]], [[6, 10,
9, 9, 3], [v = 0, u = 2^(1/2), 1 < x, x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^
(1/2))], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [2, 2], [6
, 6], [0, 0]]]], [[6, 10, 9, 9, 4], [v = 0, u = 2^(1/2), 1 < x, x+3 < y, z = (
y-x)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [2, 2]
, [6, 6], [2, 2]]]], [[6, 10, 9, 9, 5], [v = 0, u = 2^(1/2), 1 < x, x+3 < y, (
y-x)^(1/2) < z], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [2
, 2], [6, 6], [3, 3]]]], [[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(0 < y,y < u^2-v^2), z < -(y+1)^(1/2)],
[regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1, -1], [
767309/1048576, 767309/1048576], [-3, -3]]]], [[7, 3, 4, 7, 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 < u^2-v^2)
, z = -(y+1)^(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, 7, 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 < u^2-v^2), And(-(y+1)^(1/2) < z,z < (y+1)^
(1/2))], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1, -\
1], [767309/1048576, 767309/1048576], [0, 0]]]], [[7, 3, 4, 7, 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 < u^2-
v^2), z = (y+1)^(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, 7, 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 < u^2-v^2), (y+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1, -1], [
767309/1048576, 767309/1048576], [3, 3]]]], [[7, 5, 4, 1, 1], [And(0 < v,v < 1
), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y < -1, z = z], [regular_chain, [[1
/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1, -1], [-2, -2], [0, 0]]]],
[[8, 1, 8, 2, 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, 5, 1, 1
], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), y < x-u^2+2, z =
z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2
], [-2, -2], [0, 0]]]], [[8, 7, 6, 1, 1], [v = 1, And(-1 < u,u < 0), x = -u^2,
y < -u^2, z = z], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/4, -1/4], [-2, -2
], [0, 0]]]], [[8, 9, 4, 9, 1], [v = 1, And(0 < u,u < 1), x = -1, -u^2+1 < y,
z < -(y+1)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [2, 2], [-3,
-3]]]], [[8, 9, 4, 9, 2], [v = 1, And(0 < u,u < 1), x = -1, -u^2+1 < y, z = -(
y+1)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [2, 2], [-1816187/
1048576, -3632373/2097152]]]], [[8, 9, 4, 9, 3], [v = 1, And(0 < u,u < 1), x =
-1, -u^2+1 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1, 1
], [1/2, 1/2], [-1, -1], [2, 2], [-1/4194304, -1/4194304]]]], [[8, 9, 4, 9, 4]
, [v = 1, And(0 < u,u < 1), x = -1, -u^2+1 < y, z = (y+1)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [2, 2], [908093/524288, 1816187/
1048576]]]], [[8, 9, 4, 9, 5], [v = 1, And(0 < u,u < 1), x = -1, -u^2+1 < y, (
y+1)^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [2, 2], [3, 3]
]]], [[8, 15, 3, 1, 1], [v = 1, 3^(1/2) < u, And(-u^2 < x,x < -1), y < x-u^2+2
, z = z], [regular_chain, [[1, 1], [3, 3], [-5, -5], [-13, -13], [0, 0]]]], [[
9, 1, 8, 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+2), z < -(y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [1, 1], [11055025/2097152, 11055025/2097152], [-4, -4]]]],
[[9, 1, 8, 7, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 1, And(1 <
y,y < u^2-v^2+2), 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, 7, 3], [And(1 < v,v < 2^(1/2)
), u < -(v^2+2)^(1/2), x = 1, And(1 < y,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], [11055025/2097152, 11055025/2097152], [0, 0]]]], [[9, 1, 8, 7, 4], [
And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 1, And(1 < y,y < u^2-v^2+2), 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, 7, 5], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 1, 
And(1 < y,y < u^2-v^2+2), (y-1)^(1/2) < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3, -3], [1, 1], [11055025/2097152, 11055025/2097152], [4,
4]]]], [[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 = u^2-v^2-1, z < 0], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1116679/2097152, -\
558339/1048576], [-1116679/2097152, -558339/1048576], [-1, -1]]]], [[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 = u^2-v^2-1, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-1116679/2097152, -558339/1048576], [-\
1116679/2097152, -558339/1048576], [0, 0]]]], [[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 = u^2-v^2-1, 0 < z]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1116679/2097152, -558339/1048576], [-1116679/2097152, -\
558339/1048576], [1, 1]]]], [[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 = -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], [598205/524288, 1196411/
1048576], [-3, -3]]]], [[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 = -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], [598205/524288, 1196411/
1048576], [-1314069/1048576, -328517/262144]]]], [[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 = -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], [598205/524288, 1196411/1048576], [0, 0]]]],
[[9, 7, 6, 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 = -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], [598205/524288, 1196411/1048576], [328517/
262144, 1314069/1048576]]]], [[9, 7, 6, 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 = -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], [598205/524288, 1196411/
1048576], [3, 3]]]], [[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 = 0, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [239655/1048576, 
239655/1048576], [0, 0], [0, 0]]]], [[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 < -u^2+v^2-1, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-112593/262144, -450371/1048576], [-2, -2], [0, 0]]]], [[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(x-u^2+v^2+1 < 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, 2, 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
], [-15818595/2097152, -7909297/1048576], [0, 0]]]], [[10, 5, 7, 5, 1], [v = 2
^(1/2), And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), And(0 < y,y < x-u^2+3)
, z < -(y-x)^(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(0 < y,y < x-u^2+3), z = -(y-x
)^(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(0 < y,y < x-u^2+3)
, And(-(y-x)^(1/2) < z,z < (y-x)^(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(0 < y,y < x-u^2+3), z = (y-x)^(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(0 < y,y < x-u^2+3), (y-x)^(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-u^2+3 < y
, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-239655/1048576, -239655/1048576], [3, 3]
, [-3, -3]]]], [[10, 7, 7, 9, 2], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1
< x,x < 0), x-u^2+3 < y, z = -(y-x)^(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,
9, 3], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), x-u^2+3 < y, 
And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9, 4], [v =
2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), x-u^2+3 < y, z = (y-x)^(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, 9, 5], [v = 2^(1/2), And(-v < u,u < -1), And(
-u^2+1 < x,x < 0), x-u^2+3 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-239655/
1048576, -239655/1048576], [3, 3], [3, 3]]]], [[10, 11, 5, 4, 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, 4, 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, 4, 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, 3, 1], [v = 2^(1/2), And(1 < u,u < v), x = -1, And(-1 < y,y < u^2-2), z < -
(y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-1, -1], [-3235683/4194304, -3235683/4194304], [-2
, -2]]]], [[10, 13, 4, 3, 2], [v = 2^(1/2), And(1 < u,u < v), x = -1, And(-1 <
y,y < u^2-2), z = -(y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [-3235683/4194304, -\
3235683/4194304], [-31331/65536, -501295/1048576]]]], [[10, 13, 4, 3, 3], [v =
2^(1/2), And(1 < u,u < v), x = -1, And(-1 < y,y < u^2-2), And(-(y+1)^(1/2) < z
,z < (y+1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-1, -1], [-3235683/4194304, -3235683/
4194304], [0, 0]]]], [[10, 13, 4, 3, 4], [v = 2^(1/2), And(1 < u,u < v), x = -\
1, And(-1 < y,y < u^2-2), z = (y+1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [-3235683/
4194304, -3235683/4194304], [501295/1048576, 31331/65536]]]], [[10, 13, 4, 3,
5], [v = 2^(1/2), And(1 < u,u < v), x = -1, And(-1 < y,y < u^2-2), (y+1)^(1/2)
< z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [-1, -1], [-3235683/4194304, -3235683/4194304], [2, 2]]]], [
[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 < x-u^2+v^2+1, z = z], [regular_chain, [[3, 3], [-3396811
/1048576, -3396811/1048576], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[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),
u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-403851/131072,
-403851/131072], [-2614535/2097152, -2614535/2097152], [2, 2], [-3, -3]]]], [[
11, 5, 3, 9, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1
< x,x < -1), u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [2, 2],
[-3778779/2097152, -7557557/4194304]]]], [[11, 5, 3, 9, 3], [2^(1/2) < v, And(
-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [-2614535/2097152, -2614535/2097152], [2, 2], [-1/8388608, -1/
8388608]]]], [[11, 5, 3, 9, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain,
[[3, 3], [-403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152
], [2, 2], [1889389/1048576, 944695/524288]]]], [[11, 5, 3, 9, 5], [2^(1/2) <
v, And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y
, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-403851/131072, -403851/131072],
[-2614535/2097152, -2614535/2097152], [2, 2], [3, 3]]]], [[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(0 < y,y <
-u^2+v^2), z < -(y+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [-1, -1], [1581611/2097152, 1581611/2097152], [-3, -3]]]],
[[11, 9, 4, 7, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x
= -1, And(0 < y,y < -u^2+v^2), z = -(y+1)^(1/2)], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [-1, -1], [1581611/2097152, 1581611/
2097152], [-347197/262144, -1388787/1048576]]]], [[11, 9, 4, 7, 3], [2^(1/2) <
v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, And(0 < y,y < -u^2+v^2)
, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [-1, -1], [1581611/2097152, 1581611/2097152], [0,
0]]]], [[11, 9, 4, 7, 4], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1
/2)), x = -1, And(0 < y,y < -u^2+v^2), z = (y+1)^(1/2)], [regular_chain, [[3,
3], [-22960369/8388608, -22960369/8388608], [-1, -1], [1581611/2097152, 
1581611/2097152], [1388787/1048576, 347197/262144]]]], [[11, 9, 4, 7, 5], [2^(
1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, And(0 < y,y < -u
^2+v^2), (y+1)^(1/2) < z], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [-1, -1], [1581611/2097152, 1581611/2097152], [3, 3]]]], [[
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-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3],
[0, 0], [-11, -11], [-1, -1], [-5, -5]]]], [[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-u^2+v^2+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, 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-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], [
-11, -11], [-1, -1], [0, 0]]]], [[11, 11, 1, 6, 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 = x-u^2+v^2+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, 6, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z],
[regular_chain, [[3, 3], [0, 0], [-11, -11], [-1, -1], [5, 5]]]], [[11, 16, 6,
5, 1], [2^(1/2) < v, u = v, x = 1, And(1 < y,y < 2), z < -(y-1)^(1/2)], [
regular_chain, [[3, 3], [3, 3], [1, 1], [3/2, 3/2], [-2, -2]]]], [[11, 16, 6,
5, 2], [2^(1/2) < v, u = v, x = 1, And(1 < y,y < 2), z = -(y-1)^(1/2)], [
regular_chain, [[3, 3], [3, 3], [1, 1], [3/2, 3/2], [-1482911/2097152, -741455
/1048576]]]], [[11, 16, 6, 5, 3], [2^(1/2) < v, u = v, x = 1, And(1 < y,y < 2)
, 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, 5, 4], [2^(1/2) < v, u = v, x = 1, And
(1 < y,y < 2), z = (y-1)^(1/2)], [regular_chain, [[3, 3], [3, 3], [1, 1], [3/2
, 3/2], [741455/1048576, 46341/65536]]]], [[11, 16, 6, 5, 5], [2^(1/2) < v, u
= v, x = 1, And(1 < y,y < 2), (y-1)^(1/2) < z], [regular_chain, [[3, 3], [3, 3
], [1, 1], [3/2, 3/2], [2, 2]]]], [[11, 18, 7, 2, 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, 10, 2, 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, 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
(x-u^2+v^2+1 < 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, 8, 1, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), x = 0, y < 0, z = z], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [0, 0], [-1, -1], [0, 0]]]], [[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 < -y^(1
/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [0, 0
], [4, 4], [-3, -3]]]], [[1, 9, 6, 7, 2], [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 = -y^(1/2)], [regular_chain, [
[-3, -3], [-22960369/8388608, -22960369/8388608], [0, 0], [4, 4], [-2, -2]]]],
[[1, 9, 6, 7, 3], [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, 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
, 7, 4], [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 = y^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [0, 0], [4, 4], [2, 2]]]], [[1, 9, 6, 7, 5], [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, y^(1/2) < z
], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [0, 0],
[4, 4], [3, 3]]]], [[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 < x-u^2+v^2+1), z < -(y-x)^(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 < x-u^2+v^2+1), z = -(y-x)^(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 < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,
z < (y-x)^(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 < x-u^2+v^2+1
), z = (y-x)^(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 < x-u^2+v^2+1
), (y-x)^(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, 0 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-3, -3], [1, 1], [-\
3, -3]]]], [[1, 17, 1, 9, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x
< -u^2+v^2-1, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-3, -3], [1, 1], [-2, -2]]]], [[1, 17, 1, 9, 3], [v <
-2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, 0 < y, And(-(y-x)^(1/
2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-3, -3], [1, 1], [0, 0]]]], [[1, 17, 1, 9, 4], [v < -2^(1/2), And(-v
< u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, 0 < y, z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-3, -3], [1, 1], [2
, 2]]]], [[1, 17, 1, 9, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x <
-u^2+v^2-1, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072
, 403851/131072], [-3, -3], [1, 1], [3, 3]]]], [[1, 20, 8, 2, 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, 1, 1],
[v = -2^(1/2), u < -2, And(-1 < x,x < 0), y < x-u^2+3, z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [-3, -3], [-1/2, -1/2], [-8, -8], [0, 0]]
]], [[2, 10, 7, 9, 1], [v = -2^(1/2), u = 0, And(0 < x,x < 1), x+3 < y, z < -(
y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [1/2
, 1/2], [5, 5], [-4, -4]]]], [[2, 10, 7, 9, 2], [v = -2^(1/2), u = 0, And(0 <
x,x < 1), x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [0, 0], [1/2, 1/2], [5, 5], [-1112183/524288, -2224365/1048576
]]]], [[2, 10, 7, 9, 3], [v = -2^(1/2), u = 0, And(0 < x,x < 1), x+3 < y, And(
-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [0, 0], [1/2, 1/2], [5, 5], [0, 0]]]], [[2, 10, 7, 9, 4], [v =
-2^(1/2), u = 0, And(0 < x,x < 1), x+3 < y, z = (y-x)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [0, 0], [1/2, 1/2], [5, 5], [2224365/
1048576, 1112183/524288]]]], [[2, 10, 7, 9, 5], [v = -2^(1/2), u = 0, And(0 <
x,x < 1), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [0, 0], [1/2, 1/2], [5, 5], [4, 4]]]], [[2, 12, 5, 7, 1], [v =
-2^(1/2), u = 1, And(-1 < x,x < 0), x+2 < y, z < -(y-x)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [1, 1], [-1/2, -1/2], [3, 3], [-3, -3]]
]], [[2, 12, 5, 7, 2], [v = -2^(1/2), u = 1, And(-1 < x,x < 0), x+2 < y, z = -
(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1
/2, -1/2], [3, 3], [-7846825/4194304, -980853/524288]]]], [[2, 12, 5, 7, 3], [
v = -2^(1/2), u = 1, And(-1 < x,x < 0), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x
)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1/2,
-1/2], [3, 3], [0, 0]]]], [[2, 12, 5, 7, 4], [v = -2^(1/2), u = 1, And(-1 < x,
x < 0), x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [1, 1], [-1/2, -1/2], [3, 3], [980853/524288, 1961707/1048576]]]], [
[2, 12, 5, 7, 5], [v = -2^(1/2), u = 1, And(-1 < x,x < 0), x+2 < y, (y-x)^(1/2
) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1/2, -1
/2], [3, 3], [3, 3]]]], [[2, 16, 7, 2, 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, 5
, 1], [v = -2^(1/2), u = 2, x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y
,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1
/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y
< 0), (y+1)^(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 = 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 3, 1], [And(-2
^(1/2) < v,v < -1), u = v, x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [1,
1], [1/2, 1/2], [0, 0]]]], [[3, 10, 7, 3, 1], [And(-2^(1/2) < v,v < -1), u = (
v^2-1)^(1/2), And(0 < x,x < 1), And(0 < y,y < x), z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/2
], [1/4, 1/4], [0, 0]]]], [[3, 12, 5, 7, 1], [And(-2^(1/2) < v,v < -1), u = -v
, And(0 < x,x < 1), x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [3
, 3], [-3, -3]]]], [[3, 12, 5, 7, 2], [And(-2^(1/2) < v,v < -1), u = -v, And(0
< x,x < 1), x+1 < y, z = -(y-x)^(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, 7, 3], [And(-2^(1/2) < v,v <
-1), u = -v, And(0 < x,x < 1), x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [1/2, 1/2], [3, 3], [0, 0]]]], [[3, 12, 5, 7, 4], [And(-2^(1
/2) < v,v < -1), u = -v, And(0 < x,x < 1), x+1 < y, z = (y-x)^(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, 7, 5], [And(-2^(1/2) < v,v < -1), u = -v, And(0 < x,x < 1), x+1 < y,
(y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [1/2, 1/2], [3, 3], [3, 3]]]], [[3, 14, 8,
6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(
1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), z < -(y-x)^(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, 7, 2], [And(-2^(1/2) < v,v < -1
), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), z = -(y-x)^(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, 7, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-1 < x,
x < 0), And(0 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 4], [And(-2^(1/2
) < v,v < -1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), z = (
y-x)^(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, 7, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And
(-1 < x,x < 0), And(0 < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-1/2, -1
/2], [5/4, 5/4], [3, 3]]]], [[4, 3, 1, 4, 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, 4, 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, 4, 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, 1, 1], [v = -1, u = -2^(1/2), 1 < x, y < 0,
z = z], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [2, 2],
[-1, -1], [0, 0]]]], [[4, 11, 1, 7, 1], [v = -1, And(1 < u,u < 2^(1/2)), x < -
u^2, And(u^2+x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-3, -3], [-1617841/2097152, -1617841/
2097152], [-3, -3]]]], [[4, 11, 1, 7, 2], [v = -1, And(1 < u,u < 2^(1/2)), x <
-u^2, And(u^2+x < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-3, -3], [-1617841/2097152, -1617841/
2097152], [-782675/524288, -1565349/1048576]]]], [[4, 11, 1, 7, 3], [v = -1, 
And(1 < u,u < 2^(1/2)), x < -u^2, And(u^2+x < y,y < 0), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576]
, [-3, -3], [-1617841/2097152, -1617841/2097152], [0, 0]]]], [[4, 11, 1, 7, 4]
, [v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, And(u^2+x < y,y < 0), z = (y-x)^(
1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3, -3]
, [-1617841/2097152, -1617841/2097152], [1565349/1048576, 782675/524288]]]], [
[4, 11, 1, 7, 5], [v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, And(u^2+x < y,y <
0), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-3, -3], [-1617841/2097152, -1617841/2097152], [3, 3]]]], [[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 < x-u^2+v^2+1, z
= z], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1/2, -1/2], [-10, -10], [0, 0
]]]], [[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, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1
/2], [-343151/262144, -343151/262144], [-4, -4], [1, 1], [-4, -4]]]], [[5, 3,
1, 9, 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, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [-4, -4], [1, 1], [-146543/65536, -2344687/1048576]]]
], [[5, 3, 1, 9, 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, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-4, -4], [1,
1], [0, 0]]]], [[5, 3, 1, 9, 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, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[
-1/2, -1/2], [-343151/262144, -343151/262144], [-4, -4], [1, 1], [2344687/
1048576, 146543/65536]]]], [[5, 3, 1, 9, 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, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-4, -4], [1,
1], [4, 4]]]], [[5, 12, 8, 2, 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, 1, 1], [v = 0, u < -2^(1/2), And(-1 < x,x < 0), y < x-u^2+
1, z = z], [regular_chain, [[0, 0], [-3, -3], [-1/2, -1/2], [-10, -10], [0, 0]
]]], [[6, 5, 2, 5, 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], [-5/4, -5/
4], [-1/4, -1/4], [-2, -2]]]], [[6, 5, 2, 5, 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], [-5/4, -5/4], [-1/4, -1/4], [-1, -1]]]], [[6, 5, 2, 5, 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], [-5/4, -5/
4], [-1/4, -1/4], [0, 0]]]], [[6, 5, 2, 5, 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], [-5/4, -5/4], [-1/4, -1/4], [1, 1]]]], [[6, 5, 2, 5, 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], [-5/4, -5/4], [-1/4, -1/4], [2, 2]]]], [
[6, 7, 3, 2, 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, 2, 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, 2, 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, 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 = z], [regular_chain, [[1/2, 1/2], [-3, -3], [0, 0], [
-31/8, -31/8], [0, 0]]]], [[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 = 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, 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], [-1815885/1048576, -1815885/1048576], [-\
1815885/1048576, -1815885/1048576], [0, 0]]]], [[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 = 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, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 4, 8, 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], [-3, -3]]]], [[7, 9, 4, 8, 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], [-19417/16384, -1242687/1048576]]]], [[7, 9, 4
, 8, 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], [0, 0]]]], [[7, 9, 4, 8, 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], [1242687/1048576, 19417/16384]]]], [[7, 9, 4, 8, 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], [3, 3]]]], [[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(x-u^2+v^2+
1 < y,y < x), z = z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/
262144], [-1/2, -1/2], [-24553891/33554432, -24553891/33554432], [0, 0]]]], [[
7, 13, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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(0 < y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304], [
718965/2097152, 718965/2097152], [-3, -3]]]], [[8, 5, 5, 7, 2], [v = 1, And(-2
^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), And(0 < y,y < u^2+x), z = -(y-x)^(1
/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3235683
/4194304, -3235683/4194304], [718965/2097152, 718965/2097152], [-553435/524288
, -1106869/1048576]]]], [[8, 5, 5, 7, 3], [v = 1, And(-2^(1/2) < u,u < -1), 
And(-1 < x,x < u^2-2), And(0 < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1
/2))], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-\
3235683/4194304, -3235683/4194304], [718965/2097152, 718965/2097152], [0, 0]]]
], [[8, 5, 5, 7, 4], [v = 1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2),
And(0 < y,y < u^2+x), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304], [718965/
2097152, 718965/2097152], [1106869/1048576, 553435/524288]]]], [[8, 5, 5, 7, 5
], [v = 1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), And(0 < y,y < u^2+
x), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-3235683/4194304, -3235683/4194304], [718965/2097152, 718965/
2097152], [3, 3]]]], [[8, 11, 7, 2, 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], [-284633/1048576, -35579
/131072], [-1, -1]]]], [[8, 11, 7, 2, 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], [-284633/1048576, -35579
/131072], [0, 0]]]], [[8, 11, 7, 2, 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], [-284633/1048576, -35579
/131072], [1, 1]]]], [[8, 13, 6, 3, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)),
x = 0, And(-u^2+2 < y,y < 0), z = z], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [0, 0], [-497805/2097152, -497805/2097152], [0, 0]]
]], [[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 < 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3,
-3], [6860721/1048576, 3430361/524288], [-1, -1], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [501965/2097152, 501965/
2097152], [125491/524288, 250983/1048576], [-1, -1]]]], [[9, 3, 7, 6, 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], [
125491/524288, 250983/1048576], [0, 0]]]], [[9, 3, 7, 6, 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], [125491/524288
, 250983/1048576], [1, 1]]]], [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-1/2, -1/2], [2074829/2097152, 2074829/2097152], [-3, -3]]]], [[9, 
15, 5, 7, 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 < u^2-v^2+x+1), z = -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-1/2, -1/2], [2074829/2097152, 2074829/2097152], [-639837/524288, -\
1279673/1048576]]]], [[9, 15, 5, 7, 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 < u^2-v^2+x+1), 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [2074829/
2097152, 2074829/2097152], [0, 0]]]], [[9, 15, 5, 7, 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 <
u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [2074829/2097152, 
2074829/2097152], [1279673/1048576, 639837/524288]]]], [[9, 15, 5, 7, 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 < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [
2074829/2097152, 2074829/2097152], [3, 3]]]], [[10, 1, 9, 5, 1], [v = 2^(1/2),
u < -2, And(1 < x,x < u^2-3), And(0 < y,y < x), 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 < x-u^2+3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [505467/2097152, 505467/2097152], [-2, -2]
, [0, 0]]]], [[10, 9, 6, 5, 1], [v = 2^(1/2), And(-1 < u,u < 0), x = 0, And(0
< y,y < -u^2+3), 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, 5, 2],
[v = 2^(1/2), And(-1 < u,u < 0), x = 0, And(0 < y,y < -u^2+3), 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, 5, 3], [v = 2^(1/2
), And(-1 < u,u < 0), x = 0, And(0 < y,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],
[11/8, 11/8], [0, 0]]]], [[10, 9, 6, 5, 4], [v = 2^(1/2), And(-1 < u,u < 0), x
= 0, And(0 < y,y < -u^2+3), 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, 5, 5], [v = 2^(1/2), And(-1 < u,u < 0), x = 0, And(0
< y,y < -u^2+3), y^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1/2, -1/2], [0, 0], [11/8, 11/8], [3, 3]]]], [[10, 11, 4, 1, 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], [-3, -3], [0, 0]]]], [[
10, 15, 4, 4, 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], [-248903/524288, -497805/1048576]
, [-2, -2]]]], [[10, 15, 4, 4, 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], [-248903/524288, -\
497805/1048576], [-1519901/2097152, -379975/524288]]]], [[10, 15, 4, 4, 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], [-248903/524288, -497805/1048576]
, [0, 0]]]], [[10, 15, 4, 4, 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], [-248903/524288, -\
497805/1048576], [379975/524288, 759951/1048576]]]], [[10, 15, 4, 4, 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], [-248903/524288, -497805/1048576], [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(0 < y
,y < u^2+x-1), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [-3651195/2097152, -3651195/
2097152], [777021/2097152, 777021/2097152], [-3, -3]]]], [[10, 17, 3, 7, 2], [
v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), And(0 < y,y < u^2
+x-1), z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3913339/2097152, 3913339/2097152], [-3651195/2097152, -3651195/2097152], [
777021/2097152, 777021/2097152], [-380925/262144, -1523699/1048576]]]], [[10,
17, 3, 7, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), 
And(0 < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-\
3651195/2097152, -3651195/2097152], [777021/2097152, 777021/2097152], [0, 0]]]
], [[10, 17, 3, 7, 4], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x
< -1), And(0 < y,y < u^2+x-1), z = (y-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-3651195/
2097152, -3651195/2097152], [777021/2097152, 777021/2097152], [1523699/1048576
, 380925/262144]]]], [[10, 17, 3, 7, 5], [v = 2^(1/2), And(3^(1/2) < u,u < 2),
And(-u^2+1 < x,x < -1), And(0 < y,y < u^2+x-1), (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-3651195/2097152, -3651195/2097152], [777021/2097152, 777021/
2097152], [3, 3]]]], [[10, 19, 1, 9, 1], [v = 2^(1/2), 2 < u, x < -u^2+1, 0 <
y, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3
], [-9, -9], [1, 1], [-5, -5]]]], [[10, 19, 1, 9, 2], [v = 2^(1/2), 2 < u, x <
-u^2+1, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [-9, -9], [1, 1], [-3315889/1048576, -207243/65536]]]], [[10
, 19, 1, 9, 3], [v = 2^(1/2), 2 < u, x < -u^2+1, 0 < y, And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-\
9, -9], [1, 1], [0, 0]]]], [[10, 19, 1, 9, 4], [v = 2^(1/2), 2 < u, x < -u^2+1
, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[3, 3], [-9, -9], [1, 1], [207243/65536, 3315889/1048576]]]], [[10, 19, 1, 9,
5], [v = 2^(1/2), 2 < u, x < -u^2+1, 0 < y, (y-x)^(1/2) < z], [regular_chain,
[[741455/524288, 1482911/1048576], [3, 3], [-9, -9], [1, 1], [5, 5]]]], [[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 < 0
), z = z], [regular_chain, [[3, 3], [-5, -5], [1, 1], [-7, -7], [0, 0]]]], [[
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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[3
, 3], [-403851/131072, -403851/131072], [-1579769/2097152, -1579769/2097152],
[-2097153/4194304, -2097153/4194304], [-2, -2]]]], [[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(x < y,y <
x-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [-1579769/2097152, -1579769/2097152], [-2097153/4194304, -\
2097153/4194304], [-527729/1048576, -1055457/2097152]]]], [[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(x
< y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[3, 3], [-403851/131072, -403851/131072], [-1579769/2097152, -1579769/2097152
], [-2097153/4194304, -2097153/4194304], [-1/4194304, -1/4194304]]]], [[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(x < y,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [-\
2097153/4194304, -2097153/4194304], [32983/65536, 527729/1048576]]]], [[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(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [-\
2097153/4194304, -2097153/4194304], [2, 2]]]], [[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 = -u^2+v^2-1, z < 0], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-129143/262144,
-516571/1048576], [-129143/262144, -516571/1048576], [-1, -1]]]], [[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 = -u^2+
v^2-1, z = 0], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152],
[-129143/262144, -516571/1048576], [-129143/262144, -516571/1048576], [0, 0]]]
], [[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 = -u^2+v^2-1, 0 < z], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-129143/262144, -516571/1048576], [-129143/262144, -516571/
1048576], [1, 1]]]], [[11, 12, 9, 3, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), 1 <
x, And(0 < y,y < x-1), z = z], [regular_chain, [[3, 3], [2774271/1048576, 
10837/4096], [2, 2], [1/2, 1/2], [0, 0]]]], [[11, 14, 8, 2, 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, 18, 8, 7, 1], [2^(1
/2) < v, u = (v^2+1)^(1/2), x = 1, 3 < y, z < -(y-1)^(1/2)], [regular_chain, [
[3, 3], [207243/65536, 3315889/1048576], [1, 1], [4, 4], [-3, -3]]]], [[11, 18
, 8, 7, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), x = 1, 3 < y, z = -(y-1)^(1/2)],
[regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [1, 1], [4, 4], [-\
1816187/1048576, -3632373/2097152]]]], [[11, 18, 8, 7, 3], [2^(1/2) < v, u = (
v^2+1)^(1/2), x = 1, 3 < y, 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, 7, 4], [2^(1/2) < v, u = (v^2+1)^(1/2),
x = 1, 3 < y, z = (y-1)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 
3315889/1048576], [1, 1], [4, 4], [908093/524288, 1816187/1048576]]]], [[11, 
18, 8, 7, 5], [2^(1/2) < v, u = (v^2+1)^(1/2), x = 1, 3 < y, (y-1)^(1/2) < z],
[regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [1, 1], [4, 4], [3,
3]]]], [[11, 20, 6, 3, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 0, And(-1 < y,
y < 0), z = z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [0
, 0], [-1/2, -1/2], [0, 0]]]], [[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), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)]
, [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1579769/
2097152, -1579769/2097152], [2, 2], [-3, -3]]]], [[1, 5, 5, 9, 2], [v < -2^(1/
2), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), u^2-v^2+x+1 < y,
z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072]
, [-1579769/2097152, -1579769/2097152], [2, 2], [-3479815/2097152, -1739907/
1048576]]]], [[1, 5, 5, 9, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), 
And(-1 < x,x < u^2-v^2-1), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/
2))], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1579769/
2097152, -1579769/2097152], [2, 2], [0, 0]]]], [[1, 5, 5, 9, 4], [v < -2^(1/2)
, And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), u^2-v^2+x+1 < y, z
= (y-x)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [
-1579769/2097152, -1579769/2097152], [2, 2], [1739907/1048576, 434977/262144]]
]], [[1, 5, 5, 9, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x
,x < u^2-v^2-1), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3],
[-403851/131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [2, 2]
, [3, 3]]]], [[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 = x-u^2+v^2+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, 8, 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-u^2+v^2+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, 8, 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-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], [-11/2, -11/2], [9/2, 9/2], [0, 0]]]], [[1, 11, 3, 8, 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
= x-u^2+v^2+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, 8, 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 = x-u^2+v^2+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, 9, 7, 1], [v < -2^(1/2
), u = (v^2-2)^(1/2), 1 < x, And(x < y,y < x+3), z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [2, 2], [7/2, 7/2], [
-3, -3]]]], [[1, 12, 9, 7, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), 1 < x, And(x
< y,y < x+3), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576,
10837/4096], [2, 2], [7/2, 7/2], [-1284239/1048576, -642119/524288]]]], [[1, 
12, 9, 7, 3], [v < -2^(1/2), u = (v^2-2)^(1/2), 1 < x, And(x < y,y < x+3), And
(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [2, 2], [7/2, 7/2], [0, 0]]]], [[1, 12, 9, 7, 4], [v < -
2^(1/2), u = (v^2-2)^(1/2), 1 < x, And(x < y,y < x+3), z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [2, 2], [7/2, 7/2], [
642119/524288, 1284239/1048576]]]], [[1, 12, 9, 7, 5], [v < -2^(1/2), u = (v^2
-2)^(1/2), 1 < x, And(x < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[-3,
-3], [2774271/1048576, 10837/4096], [2, 2], [7/2, 7/2], [3, 3]]]], [[1, 18, 9,
6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1],
[v < -2^(1/2), u = (v^2+2)^(1/2), x = 0, And(0 < y,y < 3), z < -y^(1/2)], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [0, 0], [3/2, 3/2
], [-3, -3]]]], [[1, 20, 6, 5, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 0, 
And(0 < y,y < 3), 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, 5, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 0, And(0 < y,y < 3), 
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, 5, 4], [v < -2^(1/
2), u = (v^2+2)^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 5], [v < -2^(1/2), u = (v^2+2)^(1/
2), x = 0, And(0 < y,y < 3), y^(1/2) < z], [regular_chain, [[-3, -3], [3477733
/1048576, 1738867/524288], [0, 0], [3/2, 3/2], [3, 3]]]], [[2, 3, 1, 9, 1], [v
= -2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, 0 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-4, -4], [1, 1], [-4, -4]]]], [[2, 3, 1, 9, 2], [v = -2^(1/
2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-4, -4], [1, 1], [-146543/65536, -2344687/1048576]]]], [[2,
3, 1, 9, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, 0 < y, And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455
/524288], [-3913339/2097152, -3913339/2097152], [-4, -4], [1, 1], [0, 0]]]], [
[2, 3, 1, 9, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, 0 < y, z
= (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339
/2097152, -3913339/2097152], [-4, -4], [1, 1], [2344687/1048576, 146543/65536]
]]], [[2, 3, 1, 9, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, 0
< y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [-4, -4], [1, 1], [4, 4]]]], [[2, 4, 9, 6,
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, 6, 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, 6, 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, 6, 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, 6, 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, 4, 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], [-426949/524288, -\
3415591/4194304], [-2, -2]]]], [[2, 7, 3, 4, 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], [-426949/524288, -3415591/4194304], [-\
1417877/2097152, -354469/524288]]]], [[2, 7, 3, 4, 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], [-426949/
524288, -3415591/4194304], [0, 0]]]], [[2, 7, 3, 4, 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], [-426949/524288, -\
3415591/4194304], [354469/524288, 708939/1048576]]]], [[2, 7, 3, 4, 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], [-426949/524288, -\
3415591/4194304], [2, 2]]]], [[2, 9, 2, 1, 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], [-5, -5], [0, 0]]]], [[2, 12, 8, 1, 1]
, [v = -2^(1/2), u = 1, x = 1, y < 0, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [1, 1], [-1, -1], [0, 0]]]], [[2, 14, 6, 5,
1], [v = -2^(1/2), u = -v, x = 1, And(1 < y,y < 2), 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, 5, 2], [v = -2^(1/2), u
= -v, x = 1, And(1 < y,y < 2), 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, 5, 3], [v = -2^(1/2), u
= -v, x = 1, And(1 < y,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], [3/2, 3/2], [0, 0]]]], [[2, 14, 6, 5, 4], [v = -2^(1/2), u =
-v, x = 1, And(1 < y,y < 2), 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, 5, 5], [v = -2^(1/2), u = -v,
x = 1, And(1 < y,y < 2), (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, 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(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/
2097152], [-10006449/4194304, -10006449/4194304], [-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(x < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [-10006449
/4194304, -10006449/4194304], [-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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3, -3], [-10006449/2097152, -10006449
/2097152], [-10006449/4194304, -10006449/4194304], [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(x < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [-10006449
/4194304, -10006449/4194304], [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(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [-10006449
/4194304, -10006449/4194304], [3, 3]]]], [[3, 2, 9, 4, 1], [And(-2^(1/2) < v,v
< -1), u = -(v^2+2)^(1/2), 1 < x, y = x-1, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [2, 2], [1,
1], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [-3, -3], [
-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [-3, -3], [0
, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [-3, -3], [1
, 1]]]], [[3, 8, 8, 6, 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,
6, 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, 6, 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, 6, 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, 6, 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, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = -1, u = -3^(1/2), x = 1, And(
1 < y,y < 4), z < -(y-1)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576,
-3632373/2097152], [1, 1], [5/2, 5/2], [-3, -3]]]], [[4, 2, 8, 5, 2], [v = -1,
u = -3^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 3], [v = -1, u = -3^(1/2), x = 1, 
And(1 < y,y < 4), 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, 5, 4], [v = -1, u = -3^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 5], [v = -1, u =
-3^(1/2), x = 1, And(1 < y,y < 4), (y-1)^(1/2) < z], [regular_chain, [[-1, -1]
, [-1816187/1048576, -3632373/2097152], [1, 1], [5/2, 5/2], [3, 3]]]], [[4, 6,
7, 5, 1], [v = -1, u = -1, 1 < x, And(x < y,y < x+1), z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1, -1], [2, 2], [5/2, 5/2], [-2, -2]]]], [[4, 6, 7
, 5, 2], [v = -1, u = -1, 1 < x, And(x < y,y < x+1), z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1, -1], [2, 2], [5/2, 5/2], [-1482911/2097152, -\
741455/1048576]]]], [[4, 6, 7, 5, 3], [v = -1, u = -1, 1 < x, And(x < y,y < x+
1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-1, -1
], [2, 2], [5/2, 5/2], [0, 0]]]], [[4, 6, 7, 5, 4], [v = -1, u = -1, 1 < x, 
And(x < y,y < x+1), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [2,
2], [5/2, 5/2], [741455/1048576, 46341/65536]]]], [[4, 6, 7, 5, 5], [v = -1, u
= -1, 1 < x, And(x < y,y < x+1), (y-x)^(1/2) < z], [regular_chain, [[-1, -1],
[-1, -1], [2, 2], [5/2, 5/2], [2, 2]]]], [[4, 8, 8, 2, 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, 3, 1], [v = -1, u = 3^(1/2), x = 0, And(-1 < y,y < 0), z = z], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [0, 0], [-1/2, -1/
2], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[-1/2, -1/2], [-3, -3],
[-43/8, -43/8], [-43/8, -43/8], [-1, -1]]]], [[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 = x, z = 0], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8, -43/8], [-43/8, -43/8], [0, 0]
]]], [[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 = x, 0 < z], [regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8, -\
43/8], [-43/8, -43/8], [1, 1]]]], [[5, 4, 9, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1, 3, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x <
u^2-v^2-1, And(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1
/2, -1/2], [0, 0], [-3, -3], [-21/8, -21/8], [-2, -2]]]], [[5, 7, 1, 3, 2], [
And(-1 < v,v < 0), And(v < u,u < -v), x < u^2-v^2-1, And(x < y,y < u^2-v^2+x+1
), z = -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [-21/8,
-21/8], [-1284239/2097152, -642119/1048576]]]], [[5, 7, 1, 3, 3], [And(-1 < v,
v < 0), And(v < u,u < -v), x < u^2-v^2-1, And(x < y,y < u^2-v^2+x+1), And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3
], [-21/8, -21/8], [0, 0]]]], [[5, 7, 1, 3, 4], [And(-1 < v,v < 0), And(v < u,
u < -v), x < u^2-v^2-1, And(x < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [-21/8, -21/8], [642119/
1048576, 80265/131072]]]], [[5, 7, 1, 3, 5], [And(-1 < v,v < 0), And(v < u,u <
-v), x < u^2-v^2-1, And(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [-21/8, -21/8], [2, 2]]]], [[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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 =
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,
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 = z], [regular_chain, [[-1/2, -\
1/2], [343151/262144, 343151/262144], [-2583195/1048576, -1291597/524288], [-\
45219451/16777216, -45219451/16777216], [0, 0]]]], [[6, 1, 6, 7, 1], [v = 0, u
< -2^(1/2), x = 0, u^2+1 < y, z < -y^(1/2)], [regular_chain, [[0, 0], [-3, -3]
, [0, 0], [11, 11], [-5, -5]]]], [[6, 1, 6, 7, 2], [v = 0, u < -2^(1/2), x = 0
, u^2+1 < y, z = -y^(1/2)], [regular_chain, [[0, 0], [-3, -3], [0, 0], [11, 11
], [-1738867/524288, -3477733/1048576]]]], [[6, 1, 6, 7, 3], [v = 0, u < -2^(1
/2), x = 0, u^2+1 < y, And(-y^(1/2) < z,z < y^(1/2))], [regular_chain, [[0, 0]
, [-3, -3], [0, 0], [11, 11], [0, 0]]]], [[6, 1, 6, 7, 4], [v = 0, u < -2^(1/2
), x = 0, u^2+1 < y, z = y^(1/2)], [regular_chain, [[0, 0], [-3, -3], [0, 0],
[11, 11], [3477733/1048576, 1738867/524288]]]], [[6, 1, 6, 7, 5], [v = 0, u <
-2^(1/2), x = 0, u^2+1 < y, y^(1/2) < z], [regular_chain, [[0, 0], [-3, -3], [
0, 0], [11, 11], [5, 5]]]], [[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 < -(u^2+1)^(1/2)], [regular_chain, [[
0, 0], [-1265743/1048576, -1265743/1048576], [-1812519/1048576, -1812519/
1048576], [763943/1048576, 95493/131072], [-3, -3]]]], [[6, 3, 3, 8, 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], [763943/1048576, 95493/131072], [-410915/
262144, -3287319/2097152]]]], [[6, 3, 3, 8, 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], [763943/1048576, 95493/131072], [-1/
4194304, -1/4194304]]]], [[6, 3, 3, 8, 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]
, [763943/1048576, 95493/131072], [1643659/1048576, 410915/262144]]]], [[6, 3,
3, 8, 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], [763943/1048576, 95493/131072]
, [3, 3]]]], [[6, 9, 3, 7, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(-u^2-1 < x,
x < -1), And(0 < y,y < u^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [-1812519/1048576, -1812519/1048576], [
763943/2097152, 763943/2097152], [-3, -3]]]], [[6, 9, 3, 7, 2], [v = 0, And(1
< u,u < 2^(1/2)), And(-u^2-1 < x,x < -1), And(0 < y,y < u^2+x+1), z = -(y-x)^(
1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1812519/
1048576, -1812519/1048576], [763943/2097152, 763943/2097152], [-1516935/
1048576, -758467/524288]]]], [[6, 9, 3, 7, 3], [v = 0, And(1 < u,u < 2^(1/2)),
And(-u^2-1 < x,x < -1), And(0 < y,y < u^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-\
1812519/1048576, -1812519/1048576], [763943/2097152, 763943/2097152], [0, 0]]]
], [[6, 9, 3, 7, 4], [v = 0, And(1 < u,u < 2^(1/2)), And(-u^2-1 < x,x < -1), 
And(0 < y,y < u^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [-1812519/1048576, -1812519/1048576], [763943/
2097152, 763943/2097152], [758467/524288, 1516935/1048576]]]], [[6, 9, 3, 7, 5
], [v = 0, And(1 < u,u < 2^(1/2)), And(-u^2-1 < x,x < -1), And(0 < y,y < u^2+x
+1), (y-x)^(1/2) < z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [-1812519/1048576, -1812519/1048576], [763943/2097152, 763943/
2097152], [3, 3]]]], [[6, 10, 9, 6, 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, 6, 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, 6, 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, 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 < x-u^2+v^2+1, z = z], [regular_chain, [[1/2, 1
/2], [-343151/262144, -343151/262144], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[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), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2],
[-1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [2
, 2], [-3, -3]]]], [[7, 5, 3, 9, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u
,u < -v), And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2
-1 < x,x < -1), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-2521309/
2097152, -2521309/2097152], [2, 2], [0, 0]]]], [[7, 5, 3, 9, 4], [And(0 < v,v
< 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1
< y, z = (y-x)^(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, 9, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2)
< u,u < -v), And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-2521309/
2097152, -2521309/2097152], [2, 2], [3, 3]]]], [[8, 1, 8, 1, 1], [v = 1, u < -
3^(1/2), x = 1, y < -u^2+3, z = z], [regular_chain, [[1, 1], [-3, -3], [1, 1],
[-7, -7], [0, 0]]]], [[8, 3, 5, 4, 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, 4, 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, 4, 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, 5,
7, 1], [v = 1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(0 < y,y < x-u^2+2)
, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [9/
16, 9/16], [-3, -3]]]], [[8, 7, 5, 7, 2], [v = 1, And(-1 < u,u < 0), And(-1 <
x,x < -u^2), And(0 < y,y < x-u^2+2), z = -(y-x)^(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, 7, 3], [v = 1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(0
< y,y < x-u^2+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1,
1], [-1/2, -1/2], [-5/8, -5/8], [9/16, 9/16], [0, 0]]]], [[8, 7, 5, 7, 4], [v
= 1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(0 < y,y < x-u^2+2), z = (y-x
)^(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, 7, 5], [v = 1, And(-1 < u,u < 0
), And(-1 < x,x < -u^2), And(0 < y,y < x-u^2+2), (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [9/16, 9/16], [3, 3]]]], [
[8, 9, 5, 1, 1], [v = 1, And(0 < u,u < 1), And(-1 < x,x < -u^2), y < x, z = z]
, [regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [-2, -2], [0, 0]]]], [[8,
15, 2, 7, 1], [v = 1, 3^(1/2) < u, x = -u^2, 0 < y, z < -(u^2+y)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [-9, -9], [1, 1], [-5, -5]]]], [[8, 15, 2, 7,
2], [v = 1, 3^(1/2) < u, x = -u^2, 0 < y, z = -(u^2+y)^(1/2)], [regular_chain,
[[1, 1], [3, 3], [-9, -9], [1, 1], [-3315889/1048576, -207243/65536]]]], [[8,
15, 2, 7, 3], [v = 1, 3^(1/2) < u, x = -u^2, 0 < y, 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, 7, 4], [v = 1, 3^(1/2) < u, x = -u^2, 0 < y, z = (u^2+y)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [-9, -9], [1, 1], [207243/65536, 3315889/
1048576]]]], [[8, 15, 2, 7, 5], [v = 1, 3^(1/2) < u, x = -u^2, 0 < y, (u^2+y)^
(1/2) < z], [regular_chain, [[1, 1], [3, 3], [-9, -9], [1, 1], [5, 5]]]], [[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 < x-u^2+v^2+1, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [-4, -4], [0, 0]]]], [
[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 = 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], [367677/524288, 735355
/1048576], [-3, -3]]]], [[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 = 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], [367677/
524288, 735355/1048576], [-1270261/1048576, -317565/262144]]]], [[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 = u^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], [367677/524288, 735355
/1048576], [0, 0]]]], [[9, 5, 5, 8, 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], [367677/
524288, 735355/1048576], [317565/262144, 1270261/1048576]]]], [[9, 5, 5, 8, 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], [367677/524288, 735355/1048576], [3, 3]]]], [[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, -2*u^2+2*v^2 < y, 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, 7, 2], [And(1 < v,v
< 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, -2*u^2+2*v^2 < y,
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, 7, 3], [And(1 < v,v <
2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, -2*u^2+2*v^2 < y, 
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, 7, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^
2-1, -2*u^2+2*v^2 < y, 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, 7, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^
2-1, -2*u^2+2*v^2 < y, (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, 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 < 0), z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [239655/1048576, 239655/1048576], [-239655/2097152,
-239655/2097152], [0, 0]]]], [[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 <
-y^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288
, 898327/524288], [0, 0], [4, 4], [-3, -3]]]], [[9, 15, 6, 7, 2], [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
= -y^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [0, 0], [4, 4], [-2, -2]]]], [[9, 15, 6, 7, 3], [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, 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, 7, 4], [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 = y^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [0, 0], [4, 4], [2, 2]]]], [[9, 15,
6, 7, 5], [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, y^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [0, 0], [4, 4], [3, 3]]]], [[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 < -1), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3],
[-1, -1], [-8957873/2097152, -8957873/2097152], [0, 0]]]], [[10, 5, 7, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 3, 1], [v = 2^(1/2), And(-v < u,u < -1), x = 0, And
(0 < y,y < u^2-1), 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, 3, 2], [v = 2^(1/2), And(-v < u,u <
-1), x = 0, And(0 < y,y < u^2-1), 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, 3, 3], [v = 2^(1/2), And(-v < u,u < -1), x = 0, And(0 < 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], [239655/1048576, 239655/
1048576], [0, 0]]]], [[10, 7, 8, 3, 4], [v = 2^(1/2), And(-v < u,u < -1), x =
0, And(0 < y,y < u^2-1), 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, 3, 5
], [v = 2^(1/2), And(-v < u,u < -1), x = 0, And(0 < y,y < u^2-1), y^(1/2) < z]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [239655/1048576, 239655/1048576], [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-1,
z = z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1/2,
-1/2], [-3, -3], [0, 0]]]], [[10, 13, 4, 4, 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], [-1138531/
2097152, -569265/1048576], [-2, -2]]]], [[10, 13, 4, 4, 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], [-\
1138531/2097152, -569265/1048576], [-1417877/2097152, -354469/524288]]]], [[10
, 13, 4, 4, 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], [-1138531/2097152, -\
569265/1048576], [0, 0]]]], [[10, 13, 4, 4, 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], [-1138531/
2097152, -569265/1048576], [354469/524288, 708939/1048576]]]], [[10, 13, 4, 4,
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], [-1138531/2097152, -569265/1048576], [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
(0 < y,y < u^2-v^2), z < -(y+1)^(1/2)], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [-1, -1], [391655/524288, 391655/524288], [-3, -3]
]]], [[11, 3, 4, 7, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2
)), x = -1, And(0 < y,y < u^2-v^2), z = -(y+1)^(1/2)], [regular_chain, [[3, 3]
, [-3396811/1048576, -3396811/1048576], [-1, -1], [391655/524288, 391655/
524288], [-346489/262144, -1385955/1048576]]]], [[11, 3, 4, 7, 3], [2^(1/2) <
v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(0 < y,y < u^2-v^2),
And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [-1, -1], [391655/524288, 391655/524288], [0, 0]]]
], [[11, 3, 4, 7, 4], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2))
, x = -1, And(0 < y,y < u^2-v^2), z = (y+1)^(1/2)], [regular_chain, [[3, 3], [
-3396811/1048576, -3396811/1048576], [-1, -1], [391655/524288, 391655/524288],
[1385955/1048576, 346489/262144]]]], [[11, 3, 4, 7, 5], [2^(1/2) < v, And(-(v^
2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(0 < y,y < u^2-v^2), (y+1)^(1/2
) < z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1, -1
], [391655/524288, 391655/524288], [3, 3]]]], [[11, 5, 4, 1, 1], [2^(1/2) < v,
And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y < -1, z = z], [regular_chain, [[3, 3
], [-403851/131072, -403851/131072], [-1, -1], [-2, -2], [0, 0]]]], [[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 =
0, z < -1], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [
-1, -1], [0, 0], [-2, -2]]]], [[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 = 0, z = -1], [regular_chain, [[3, 3],
[-22960369/8388608, -22960369/8388608], [-1, -1], [0, 0], [-1, -1]]]], [[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 = 0, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [-1, -1], [0, 0], [0, 0]]]], [[11, 9, 4, 6, 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, 6, 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, 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, 0 < y,
z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-11, -11], [1, 1], [-5, -\
5]]]], [[11, 11, 1, 9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[3, 3], [0, 0]
, [-11, -11], [1, 1], [-1816187/524288, -3632373/1048576]]]], [[11, 11, 1, 9,
3], [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, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [0, 0],
[-11, -11], [1, 1], [0, 0]]]], [[11, 11, 1, 9, 4], [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 = (y-x)^(1/2)], [
regular_chain, [[3, 3], [0, 0], [-11, -11], [1, 1], [3632373/1048576, 1816187/
524288]]]], [[11, 11, 1, 9, 5], [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, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [0
, 0], [-11, -11], [1, 1], [5, 5]]]], [[11, 16, 6, 2, 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, 3, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), And(0 < x,x < 1), And
(0 < y,y < x), z = z], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576
], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[1, 1, 10, 1, 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], [-1, -1], [0, 0]]]], [[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 = x-u^2+v^2+1, z
= z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [129511
/524288, 129511/524288], [-259023/1048576, -129511/524288], [0, 0]]]], [[1, 7,
8, 2, 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, 2, 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, 2, 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, 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 = z], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [533035/2097152, 533035/2097152], [-2, -2], [0, 0
]]]], [[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], [-5258313/2097152, -657289/262144
], [-2, -2]]]], [[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], [-5258313/2097152, -\
657289/262144], [-735979/1048576, -1471957/2097152]]]], [[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], [-5258313/2097152, -657289/262144
], [-1/4194304, -1/4194304]]]], [[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], [-\
5258313/2097152, -657289/262144], [367989/524288, 735979/1048576]]]], [[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], [-5258313/2097152, -657289/262144], [2, 2]]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-3, -3], [0, 0], [-3, -3]]]], [[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 = 0, z = -(-x)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-3, -3], [0, 0], [-\
1816187/1048576, -3632373/2097152]]]], [[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 = 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, 8, 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, 8, 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, 8, 3, 1],
[v < -2^(1/2), u = (v^2+2)^(1/2), x = 1, And(0 < y,y < 1), z = z], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [1, 1], [1/2, 1/2
], [0, 0]]]], [[2, 1, 5, 2, 1], [v = -2^(1/2), u < -2, And(-1 < x,x < 0), y =
x-u^2+3, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3]
, [-1/2, -1/2], [-13/2, -13/2], [0, 0]]]], [[2, 10, 7, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 6, 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, 6,
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, 6, 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, 6, 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, 6, 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, 7, 3, 1], [v = -2^(1/2), u = 3^(1/2), And(0 < x,x
< 1), And(0 < y,y < x), z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [908093/524288, 1816187/1048576], [1/2, 1/2], [1/4, 1/4], [0, 0]]]],
[[2, 18, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 < x+2), z < -(y-x)^(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, 5, 2], [And(-2^(1/2) < v,v < -1), u
= -(v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z = -(y-x)^(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, 5, 3], [And(
-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2)
, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 5, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), 
And(0 < x,x < 1), And(x < y,y < x+2), z = (y-x)^(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, 5, 5], [And(-2^(1/2) < v,v < -1), u =
-(v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), (y-x)^(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, 2, 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, 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 < 0, z = z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [
1, 1], [-1, -1], [0, 0]]]], [[3, 14, 8, 7, 1], [And(-2^(1/2) < v,v < -1), u =
(v^2+1)^(1/2), x = 1, 3 < y, z < -(y-1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [1, 1], [4, 4],
[-3, -3]]]], [[3, 14, 8, 7, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2),
x = 1, 3 < y, 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, 7, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1
)^(1/2), x = 1, 3 < y, 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, 7, 4], [And(-2^(1/2) < v,v
< -1), u = (v^2+1)^(1/2), x = 1, 3 < y, 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, 7, 5], [And(-2^(1/2)
< v,v < -1), u = (v^2+1)^(1/2), x = 1, 3 < y, (y-1)^(1/2) < z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [1,
1], [4, 4], [3, 3]]]], [[3, 16, 5, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 3, 1], [v =
-1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, And(x-u^2+2 < y,y < x), z = z],
[regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-4, -4], [-\
4443207/1048576, -4443207/1048576], [0, 0]]]], [[4, 4, 8, 7, 1], [v = -1, u =
-2^(1/2), x = 1, 3 < y, z < -(y-1)^(1/2)], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [1, 1], [4, 4], [-3, -3]]]], [[4, 4, 8, 7, 2
], [v = -1, u = -2^(1/2), x = 1, 3 < y, z = -(y-1)^(1/2)], [regular_chain, [[-\
1, -1], [-1482911/1048576, -741455/524288], [1, 1], [4, 4], [-1816187/1048576,
-3632373/2097152]]]], [[4, 4, 8, 7, 3], [v = -1, u = -2^(1/2), x = 1, 3 < y, 
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, 7, 4], [v = -1, u = -2^(1/2), x = 1, 3 < y, z = (y-1)^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [1, 1], [4, 4],
[908093/524288, 1816187/1048576]]]], [[4, 4, 8, 7, 5], [v = -1, u = -2^(1/2),
x = 1, 3 < y, (y-1)^(1/2) < z], [regular_chain, [[-1, -1], [-1482911/1048576,
-741455/524288], [1, 1], [4, 4], [3, 3]]]], [[4, 11, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 5, 1], [v = -1, u = 2^(1/2), 1 < x, And(
x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [741455/524288,
1482911/1048576], [2, 2], [3, 3], [-2, -2]]]], [[4, 12, 9, 5, 2], [v = -1, u =
2^(1/2), 1 < x, And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[-1, -\
1], [741455/524288, 1482911/1048576], [2, 2], [3, 3], [-1, -1]]]], [[4, 12, 9,
5, 3], [v = -1, u = 2^(1/2), 1 < x, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576],
[2, 2], [3, 3], [0, 0]]]], [[4, 12, 9, 5, 4], [v = -1, u = 2^(1/2), 1 < x, And
(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [741455/524288,
1482911/1048576], [2, 2], [3, 3], [1, 1]]]], [[4, 12, 9, 5, 5], [v = -1, u = 2
^(1/2), 1 < x, And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[-1, -1]
, [741455/524288, 1482911/1048576], [2, 2], [3, 3], [2, 2]]]], [[5, 1, 4, 9, 1
], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = -1, u^2-v^2 < y, z < -(y+1)^(1/
2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1, -1], [10, 10], [-5, -5]]]],
[[5, 1, 4, 9, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = -1, u^2-v^2 < y,
z = -(y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1, -1], [10, 10]
, [-1738867/524288, -3477733/1048576]]]], [[5, 1, 4, 9, 3], [And(-1 < v,v < 0)
, u < -(v^2+2)^(1/2), x = -1, u^2-v^2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2
))], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1, -1], [10, 10], [0, 0]]]], [
[5, 1, 4, 9, 4], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = -1, u^2-v^2 < y,
z = (y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1, -1], [10, 10],
[3477733/1048576, 1738867/524288]]]], [[5, 1, 4, 9, 5], [And(-1 < v,v < 0), u
< -(v^2+2)^(1/2), x = -1, u^2-v^2 < y, (y+1)^(1/2) < z], [regular_chain, [[-1/
2, -1/2], [-3, -3], [-1, -1], [10, 10], [5, 5]]]], [[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 = 0, z
< -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144
], [-4, -4], [0, 0], [-3, -3]]]], [[5, 3, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 3, 1]
, [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 1, And(0 < y,y < 1), z = z], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1, 1], [1/2, 1/2], [0, 0]]]], [[6,
1, 5, 2, 1], [v = 0, u < -2^(1/2), And(-1 < x,x < 0), y = x-u^2+1, z = z], [
regular_chain, [[0, 0], [-3, -3], [-1/2, -1/2], [-17/2, -17/2], [0, 0]]]], [[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 < x, z =
z], [regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8], [-3, -3], [0, 0]]]], [[
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(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(
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(-1
< y,y < u^2-v^2), z < -(y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-1,
-1], [-5/8, -5/8], [-2, -2]]]], [[7, 7, 4, 3, 2], [And(0 < v,v < 1), And(-v <
u,u < v), x = -1, And(-1 < y,y < u^2-v^2), z = -(y+1)^(1/2)], [regular_chain,
[[1/2, 1/2], [0, 0], [-1, -1], [-5/8, -5/8], [-1284239/2097152, -642119/
1048576]]]], [[7, 7, 4, 3, 3], [And(0 < v,v < 1), And(-v < u,u < v), x = -1, 
And(-1 < y,y < u^2-v^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [-5/8, -5/8], [0, 0]]]], [[7, 7,
4, 3, 4], [And(0 < v,v < 1), And(-v < u,u < v), x = -1, And(-1 < y,y < u^2-v^2
), z = (y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [-5/8, -5/
8], [642119/1048576, 80265/131072]]]], [[7, 7, 4, 3, 5], [And(0 < v,v < 1), 
And(-v < u,u < v), x = -1, And(-1 < y,y < u^2-v^2), (y+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [-5/8, -5/8], [2, 2]]]], [[7, 9,
4, 7, 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 < -(y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152,
1696631/2097152], [-1, -1], [424157/2097152, 424157/2097152], [-3, -3]]]], [[7
, 9, 4, 7, 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 = -(y+1)^(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, 7, 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(-(y+1)^(1/2) < z
,z < (y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [-1, -1], [424157/2097152, 424157/2097152], [0, 0]]]], [[7, 9, 4, 7,
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 = (y+1)^(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, 7, 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), (y+1)^(1/2) < z], [regular_chain, [[
1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [424157/2097152, 
424157/2097152], [3, 3]]]], [[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 = x-u^2+v^2+1, z = z], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1/2, -1/2], [-\
4041321/4194304, -16165283/16777216], [0, 0]]]], [[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 < 0), 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, 5, 2], [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 = -(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, 5, 3], [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), 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, 5, 4], [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 = (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, 5, 5], [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), (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, 5, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0, And(0 < y,y <
u^2), z < -y^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [0, 0], [1297479/1048576, 1297479/1048576], [-3, -3]]]], [[8, 3, 6,
5, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0, And(0 < y,y < u^2), 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, 5, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0, And(0 < y,y <
u^2), 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, 5, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0, And(0 <
y,y < u^2), 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, 5, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x
= 0, And(0 < y,y < u^2), y^(1/2) < z], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [0, 0], [1297479/1048576, 1297479/1048576], [3, 3]
]]], [[8, 5, 5, 8, 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], [718965/1048576, 359483/524288
], [-3, -3]]]], [[8, 5, 5, 8, 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], [718965/1048576, 
359483/524288], [-1265743/1048576, -1265743/1048576]]]], [[8, 5, 5, 8, 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], [718965/1048576, 359483/524288], [0, 0]]]], [[8,
5, 5, 8, 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], [718965/1048576, 359483/524288], [1265743/
1048576, 1265743/1048576]]]], [[8, 5, 5, 8, 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], [
718965/1048576, 359483/524288], [3, 3]]]], [[8, 11, 7, 1, 1], [v = 1, And(1 <
u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y < x, z = z], [regular_chain, [[1, 1],
[1265743/1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [-2, -\
2], [0, 0]]]], [[8, 13, 6, 2, 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], [-248903/524288, -497805/1048576], [0, 0]]]], [[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 = 0, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [6860721/1048576
, 3430361/524288], [0, 0], [0, 0]]]], [[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(x
< y,y < u^2-v^2+x+1), z < -(y-x)^(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, 7
, 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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 7, 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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 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(x < y,y < u^2-v^2
+x+1), z = (y-x)^(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, 7, 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(x < y,y < u^2-v^2+x+1), (y-x)^(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, 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(u^2-v^2-1 < y,y < 0), z < -(y-u^2+v^2+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, 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(u^2-v^2-1 < y,y < 0), z = -(y-u^2+v^2+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, 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(u^2-v^2-1 < y,
y < 0), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+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, 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(u^2-v^2-1 < y,y < 0), z = (y-u^2+v^2+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, 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(u^2-v^2-1 < y,y < 0), (y-u^2+v^2+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, 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 = 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, 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
= 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, 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 = 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, 6, 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, 6, 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, 6, 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, 6
, 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, 6, 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, 7, 2, 1], [v = 2^(1/2), And(-2 < u
,u < -3^(1/2)), And(0 < x,x < u^2-3), y = x-u^2+3, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [505467
/2097152, 505467/2097152], [-126367/524288, -252733/1048576], [0, 0]]]], [[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), x-u^2+3 < y, z < -(y-x)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [1/2, 1/2], [-15/8, -15/8], [2, 2], [-3, -3
]]]], [[10, 11, 3, 9, 2], [v = 2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1
), x-u^2+3 < y, z = -(y-x)^(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, 9, 3], [v = 2^(1/2), And(0 < u,u < 1), And(u^2-3 < x
,x < -1), x-u^2+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9, 4], [v = 2^(1/2), And(0 < u,u < 1),
And(u^2-3 < x,x < -1), x-u^2+3 < y, z = (y-x)^(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, 9, 5], [v = 2^(1/2), And(0 < u,u < 1)
, And(u^2-3 < x,x < -1), x-u^2+3 < y, (y-x)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [-15/8, -15/8], [2, 2], [3, 3]]]]
, [[10, 15, 4, 5, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -1, And(-u^2+2
< y,y < 0), z < -(y+1)^(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(-u^2+2 < y,y < 0), z = -(y+1)^(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(-u^2+2 <
y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-u^2+2 < y,y < 0), z = (
y+1)^(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(-u^2+2 < y,y < 0), (y+1)^(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-1, z < -(u^2
-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [-3651195/2097152, -3651195/2097152], [777021/
1048576, 388511/524288], [-3, -3]]]], [[10, 17, 3, 8, 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], [777021/1048576, 388511/524288
], [-825991/524288, -3303963/2097152]]]], [[10, 17, 3, 8, 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], [
777021/1048576, 388511/524288], [-1/4194304, -1/4194304]]]], [[10, 17, 3, 8, 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], [
777021/1048576, 388511/524288], [1651981/1048576, 825991/524288]]]], [[10, 17,
3, 8, 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], [
777021/1048576, 388511/524288], [3, 3]]]], [[10, 19, 2, 1, 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], [-15, -15], [0, 0]]]], [[11, 1, 8, 4, 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, 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 = x, z < 0], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1579769/2097152, -\
1579769/2097152], [-1579769/2097152, -1579769/2097152], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[3, 3], [-403851/131072, -403851/131072],
[-1579769/2097152, -1579769/2097152], [-1579769/2097152, -1579769/2097152], [0
, 0]]]], [[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 = x, 0 < z], [regular_chain, [[3, 3], [-403851/131072
, -403851/131072], [-1579769/2097152, -1579769/2097152], [-1579769/2097152, -\
1579769/2097152], [1, 1]]]], [[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 < -u^2+v^2-1, z = z], [regular_chain, [[3, 3
], [-6111549/2097152, -6111549/2097152], [-129143/262144, -516571/1048576], [-\
2, -2], [0, 0]]]], [[11, 12, 9, 4, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), 1 < x,
y = x-1, z = z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [2, 2
], [1, 1], [0, 0]]]], [[11, 14, 8, 3, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), x =
1, And(0 < y,y < 1), z = z], [regular_chain, [[3, 3], [741455/262144, 2965821/
1048576], [1, 1], [1/2, 1/2], [0, 0]]]], [[11, 18, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 2, 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, 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 = 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], [388037/524288, 776075/1048576], [-3, -3]]
]], [[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 = 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]
, [388037/524288, 776075/1048576], [-1281417/1048576, -160177/131072]]]], [[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 = u^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], [388037/524288, 776075/1048576], [0, 0]]]], [[1, 5, 5, 8, 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], [388037/524288,
776075/1048576], [160177/131072, 1281417/1048576]]]], [[1, 5, 5, 8, 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], [388037/524288, 776075/
1048576], [3, 3]]]], [[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(-u^2+v^2-1 < y,y < 0), 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, 3, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, 
And(-u^2+v^2-1 < y,y < 0), 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, 3, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(-u
^2+v^2-1 < 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], [-516571/2097152, -516571/2097152], [0, 0]]]], [[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
(-u^2+v^2-1 < y,y < 0), 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,
3, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(-u^2+
v^2-1 < y,y < 0), (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, 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), x-u^2+v^
2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-11/2, -11/2],
[6, 6], [-5, -5]]]], [[1, 11, 3, 9, 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), x-u^2+v^2+1 < y, z = -(y-x)^(1/
2)], [regular_chain, [[-3, -3], [0, 0], [-11/2, -11/2], [6, 6], [-3555895/
1048576, -1777947/524288]]]], [[1, 11, 3, 9, 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), x-u^2+v^2+1 < y, And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [0, 0], [-11/2,
-11/2], [6, 6], [0, 0]]]], [[1, 11, 3, 9, 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), x-u^2+v^2+1 < y, z = (y-x
)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-11/2, -11/2], [6, 6], [1777947/
524288, 3555895/1048576]]]], [[1, 11, 3, 9, 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), x-u^2+v^2+1 < y, (y-x)^
(1/2) < z], [regular_chain, [[-3, -3], [0, 0], [-11/2, -11/2], [6, 6], [5, 5]]
]], [[1, 12, 9, 8, 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, 8, 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, 8,
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, 8, 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, 8, 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, 18, 9, 5, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), 1 < x, And(x < y
,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 
3315889/1048576], [2, 2], [3, 3], [-2, -2]]]], [[1, 18, 9, 5, 2], [v < -2^(1/2
), u = (v^2+1)^(1/2), 1 < x, And(x < y,y < x+2), z = -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [2, 2], [3, 3], [-1
, -1]]]], [[1, 18, 9, 5, 3], [v < -2^(1/2), u = (v^2+1)^(1/2), 1 < x, And(x <
y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3],
[207243/65536, 3315889/1048576], [2, 2], [3, 3], [0, 0]]]], [[1, 18, 9, 5, 4],
[v < -2^(1/2), u = (v^2+1)^(1/2), 1 < x, And(x < y,y < x+2), z = (y-x)^(1/2)],
[regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [2, 2], [3, 3], [1
, 1]]]], [[1, 18, 9, 5, 5], [v < -2^(1/2), u = (v^2+1)^(1/2), 1 < x, And(x < y
,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [207243/65536, 3315889
/1048576], [2, 2], [3, 3], [2, 2]]]], [[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 < -2*u^2+4, z
= z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152,
-3913339/2097152], [-650655/262144, -2602619/1048576], [-4, -4], [0, 0]]]], [[
2, 4, 9, 7, 1], [v = -2^(1/2), u = -3^(1/2), 1 < x, x+2 < y, z < -(y-x)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [2, 2], [5, 5], [-3, -3]]]], [[2, 4, 9, 7, 2], [v = -2^(1/2)
, u = -3^(1/2), 1 < x, x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [2, 2], [5, 5]
, [-1816187/1048576, -3632373/2097152]]]], [[2, 4, 9, 7, 3], [v = -2^(1/2), u
= -3^(1/2), 1 < x, x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[2, 4, 9, 7, 4
], [v = -2^(1/2), u = -3^(1/2), 1 < x, x+2 < y, z = (y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [2, 2], [5, 5], [908093/524288, 1816187/1048576]]]], [[2, 4,
9, 7, 5], [v = -2^(1/2), u = -3^(1/2), 1 < x, x+2 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [2, 2], [5, 5], [3, 3]]]], [[2, 7, 3, 3, 1], [v = -2^(1/2),
And(v < u,u < -1), And(u^2-3 < x,x < -1), And(x < y,y < u^2+x-1), z < -(y-x)^(
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, 3, 2], [v = -2^(1/2), And(v < u,u <
-1), And(u^2-3 < x,x < -1), And(x < y,y < u^2+x-1), z = -(y-x)^(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, 3, 3], [v = -
2^(1/2), And(v < u,u < -1), And(u^2-3 < x,x < -1), And(x < y,y < u^2+x-1), And
(-(y-x)^(1/2) < z,z < (y-x)^(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,
3, 4], [v = -2^(1/2), And(v < u,u < -1), And(u^2-3 < x,x < -1), And(x < y,y <
u^2+x-1), z = (y-x)^(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, 3, 5], [v = -2^(1/2), And(v < u,u < -1), And(u^2-3 < x,x < -1), And(x < y
,y < u^2+x-1), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/
2097152], [-1093553/1048576, -1093553/1048576], [2, 2]]]], [[2, 9, 1, 9, 1], [
v = -2^(1/2), And(-1 < u,u < 0), x < u^2-3, 0 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-4, -4], [1
, 1], [-4, -4]]]], [[2, 9, 1, 9, 2], [v = -2^(1/2), And(-1 < u,u < 0), x < u^2
-3, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1/2, -1/2], [-4, -4], [1, 1], [-146543/65536, -2344687/1048576]]]],
[[2, 9, 1, 9, 3], [v = -2^(1/2), And(-1 < u,u < 0), x < u^2-3, 0 < y, And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1/2, -1/2], [-4, -4], [1, 1], [0, 0]]]], [[2, 9, 1, 9, 4], [v = -2^
(1/2), And(-1 < u,u < 0), x < u^2-3, 0 < y, z = (y-x)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-4, -4], [1, 1], [2344687/
1048576, 146543/65536]]]], [[2, 9, 1, 9, 5], [v = -2^(1/2), And(-1 < u,u < 0),
x < u^2-3, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-4, -4], [1, 1], [4, 4]]]], [[2, 12, 8, 2, 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, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 = x, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-10006449/
2097152, -10006449/2097152], [-10006449/2097152, -10006449/2097152], [-1, -1]]
]], [[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 = x, z = 0], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [-10006449/
2097152, -10006449/2097152], [0, 0]]]], [[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 = x, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-10006449/
2097152, -10006449/2097152], [-10006449/2097152, -10006449/2097152], [1, 1]]]]
, [[3, 2, 9, 3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), 1 < x, And(
0 < y,y < x-1), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-3899297/2097152, -7798593/4194304], [2, 2], [1/2, 1/2], [0, 0]]]], [[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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [-\
11682171/4194304, -11682171/4194304], [-2, -2]]]], [[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(x < y,y <
u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [-11682171/4194304,
-11682171/4194304], [-242963/524288, -485925/1048576]]]], [[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(x
< y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [
-3, -3], [-11682171/4194304, -11682171/4194304], [0, 0]]]], [[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(x
< y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [-11682171/
4194304, -11682171/4194304], [485925/1048576, 242963/524288]]]], [[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(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [-\
11682171/4194304, -11682171/4194304], [2, 2]]]], [[3, 8, 8, 7, 1], [And(-2^(1/
2) < v,v < -1), u = -(v^2-1)^(1/2), x = 1, 3 < y, z < -(y-1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [1, 1], [4, 4], [-3, -3]]]], [[3, 8, 8, 7, 2], [And(-2^(1/2) <
v,v < -1), u = -(v^2-1)^(1/2), x = 1, 3 < y, 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, 7, 3], [And
(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 1, 3 < y, 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, 7, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 1, 3 < y,
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, 7, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2),
x = 1, 3 < y, (y-1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [1, 1], [4, 4], [3, 3]]]], [[4,
1, 2, 7, 1], [v = -1, u < -3^(1/2), x = -u^2, 0 < y, z < -(u^2+y)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [-9, -9], [1, 1], [-5, -5]]]], [[4, 1, 2,
7, 2], [v = -1, u < -3^(1/2), x = -u^2, 0 < y, z = -(u^2+y)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [-9, -9], [1, 1], [-3315889/1048576, -\
207243/65536]]]], [[4, 1, 2, 7, 3], [v = -1, u < -3^(1/2), x = -u^2, 0 < y, 
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, 7, 4], [v = -1, u < -3^(1/2), x = -
u^2, 0 < y, z = (u^2+y)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-9, -9],
[1, 1], [207243/65536, 3315889/1048576]]]], [[4, 1, 2, 7, 5], [v = -1, u < -3^
(1/2), x = -u^2, 0 < y, (u^2+y)^(1/2) < z], [regular_chain, [[-1, -1], [-3, -3
], [-9, -9], [1, 1], [5, 5]]]], [[4, 2, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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
, 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 < 0, z = z], [regular_chain, [[-1, -1], [0, 0], [1, 1], [-1, -1],
[0, 0]]]], [[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(x < y,y < 0), z < -(y-x)^(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(x
< y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(
x < y,y < 0), z = (y-x)^(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(
x < y,y < 0), (y-x)^(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 < x+2), z < -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [2, 2], [3,
3], [-2, -2]]]], [[5, 4, 9, 5, 2], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), 1 <
x, And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [2, 2], [3, 3], [-1, -1]]]], [[5, 4, 9, 5, 3
], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), 1 < x, And(x < y,y < x+2), And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-146543/131072
, -1172343/1048576], [2, 2], [3, 3], [0, 0]]]], [[5, 4, 9, 5, 4], [And(-1 < v,
v < 0), u = -(v^2+1)^(1/2), 1 < x, And(x < y,y < x+2), z = (y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [2, 2], [3,
3], [1, 1]]]], [[5, 4, 9, 5, 5], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), 1 < x
, And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [2, 2], [3, 3], [2, 2]]]], [[5, 7, 1, 2, 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, 2, 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, 2, 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, 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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), z = (y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), (y-x)^(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, 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], [-2583195/
1048576, -1291597/524288], [-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], [-2583195/1048576, -1291597/524288], [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], [-2583195/
1048576, -1291597/524288], [1, 1]]]], [[6, 1, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1
], [v = 0, And(-2^(1/2) < u,u < -1), And(-u^2-1 < x,x < -1), And(0 < y,y < u^2
+x+1), z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743
/1048576], [-1812519/1048576, -1812519/1048576], [763943/2097152, 763943/
2097152], [-3, -3]]]], [[6, 3, 3, 7, 2], [v = 0, And(-2^(1/2) < u,u < -1), And
(-u^2-1 < x,x < -1), And(0 < y,y < u^2+x+1), z = -(y-x)^(1/2)], [regular_chain
, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1812519/1048576, -1812519/
1048576], [763943/2097152, 763943/2097152], [-1516935/1048576, -758467/524288]
]]], [[6, 3, 3, 7, 3], [v = 0, And(-2^(1/2) < u,u < -1), And(-u^2-1 < x,x < -1
), And(0 < y,y < u^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1812519/
1048576, -1812519/1048576], [763943/2097152, 763943/2097152], [0, 0]]]], [[6,
3, 3, 7, 4], [v = 0, And(-2^(1/2) < u,u < -1), And(-u^2-1 < x,x < -1), And(0 <
y,y < u^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576,
-1265743/1048576], [-1812519/1048576, -1812519/1048576], [763943/2097152, 
763943/2097152], [758467/524288, 1516935/1048576]]]], [[6, 3, 3, 7, 5], [v = 0
, And(-2^(1/2) < u,u < -1), And(-u^2-1 < x,x < -1), And(0 < y,y < u^2+x+1), (y
-x)^(1/2) < z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576],
[-1812519/1048576, -1812519/1048576], [763943/2097152, 763943/2097152], [3, 3]
]]], [[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 < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [-1812519/1048576, -1812519/1048576], [763943/1048576, 95493
/131072], [-3, -3]]]], [[6, 9, 3, 8, 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], [
763943/1048576, 95493/131072], [-410915/262144, -3287319/2097152]]]], [[6, 9,
3, 8, 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], [763943/
1048576, 95493/131072], [-1/4194304, -1/4194304]]]], [[6, 9, 3, 8, 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], [763943/1048576, 95493/131072], [1643659/1048576,
410915/262144]]]], [[6, 9, 3, 8, 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], [
763943/1048576, 95493/131072], [3, 3]]]], [[6, 10, 9, 7, 1], [v = 0, u = 2^(1/
2), 1 < x, And(x < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [
741455/524288, 1482911/1048576], [2, 2], [7/2, 7/2], [-3, -3]]]], [[6, 10, 9,
7, 2], [v = 0, u = 2^(1/2), 1 < x, And(x < y,y < x+3), z = -(y-x)^(1/2)], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [2, 2], [7/2, 7/2],
[-1284239/1048576, -642119/524288]]]], [[6, 10, 9, 7, 3], [v = 0, u = 2^(1/2),
1 < x, And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [2, 2], [7/2, 7/2],
[0, 0]]]], [[6, 10, 9, 7, 4], [v = 0, u = 2^(1/2), 1 < x, And(x < y,y < x+3),
z = (y-x)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [
2, 2], [7/2, 7/2], [642119/524288, 1284239/1048576]]]], [[6, 10, 9, 7, 5], [v
= 0, u = 2^(1/2), 1 < x, And(x < y,y < x+3), (y-x)^(1/2) < z], [regular_chain,
[[0, 0], [741455/524288, 1482911/1048576], [2, 2], [7/2, 7/2], [3, 3]]]], [[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 < -(y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [-1, -1], [3, 3], [-3, -3]]]], [[7, 3, 4, 9, 2], [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 = -(y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [-1, -1], [3, 3], [-2, -2]]]], [[7, 3, 4, 9, 3], [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, And(-(y+1)^(1
/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-343151/262144, -\
343151/262144], [-1, -1], [3, 3], [0, 0]]]], [[7, 3, 4, 9, 4], [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 = (y+1)
^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1, -\
1], [3, 3], [2, 2]]]], [[7, 3, 4, 9, 5], [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, (y+1)^(1/2) < z], [regular_chain
, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1, -1], [3, 3], [3, 3]]]],
[[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 = 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], [106039/524288, 212079/1048576], [-3, -3]]]], [[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 =
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], [106039/
524288, 212079/1048576], [-19417/16384, -1242687/1048576]]]], [[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 = u^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], [106039/524288, 212079/1048576], [0, 0]]]], [[7, 5
, 3, 8, 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
], [106039/524288, 212079/1048576], [1242687/1048576, 19417/16384]]]], [[7, 5,
3, 8, 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],
[106039/524288, 212079/1048576], [3, 3]]]], [[8, 1, 7, 9, 1], [v = 1, u < -3^(
1/2), And(0 < x,x < 1), u^2+x < y, z < -(y-x)^(1/2)], [regular_chain, [[1, 1],
[-3, -3], [1/2, 1/2], [11, 11], [-5, -5]]]], [[8, 1, 7, 9, 2], [v = 1, u < -3^
(1/2), And(0 < x,x < 1), u^2+x < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1]
, [-3, -3], [1/2, 1/2], [11, 11], [-3397775/1048576, -1698887/524288]]]], [[8,
1, 7, 9, 3], [v = 1, u < -3^(1/2), And(0 < x,x < 1), u^2+x < y, And(-(y-x)^(1/
2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-3, -3], [1/2, 1/2], [11,
11], [0, 0]]]], [[8, 1, 7, 9, 4], [v = 1, u < -3^(1/2), And(0 < x,x < 1), u^2+
x < y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [1/2, 1/2], [11, 
11], [1698887/524288, 3397775/1048576]]]], [[8, 1, 7, 9, 5], [v = 1, u < -3^(1
/2), And(0 < x,x < 1), u^2+x < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [
-3, -3], [1/2, 1/2], [11, 11], [5, 5]]]], [[8, 3, 5, 3, 1], [v = 1, And(-3^(1/
2) < u,u < -2^(1/2)), And(-1 < x,x < 0), And(x-u^2+2 < y,y < x), z = z], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2], [-\
12371059/16777216, -12371059/16777216], [0, 0]]]], [[8, 7, 5, 8, 1], [v = 1, 
And(-1 < u,u < 0), And(-1 < x,x < -u^2), y = x-u^2+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, 8, 2], [v = 1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), y = x-u^2+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, 8, 3], [v = 1, And(-1
< u,u < 0), And(-1 < x,x < -u^2), y = x-u^2+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, 8, 4], [v = 1, And(-1 < u,u < 0), And(-1 < x,x < -u^2)
, y = x-u^2+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, 8, 5], [v
= 1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), y = x-u^2+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, 9, 5, 2, 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, 2, 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, 2, 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, 2, 6, 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, 6,
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, 6, 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, 6, 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
, 6, 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, 9, 1], [And(1 < v,v < 2^(1/2
)), u < -(v^2+2)^(1/2), x = 1, u^2-v^2+2 < y, z < -(y-1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1, 1], [11, 11]
, [-5, -5]]]], [[9, 1, 8, 9, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2),
x = 1, u^2-v^2+2 < y, z = -(y-1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [1, 1], [11, 11], [-3315889/1048576, -207243/65536
]]]], [[9, 1, 8, 9, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 1, u^
2-v^2+2 < y, 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,
9, 4], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 1, u^2-v^2+2 < y, z =
(y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [
1, 1], [11, 11], [207243/65536, 3315889/1048576]]]], [[9, 1, 8, 9, 5], [And(1
< v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 1, u^2-v^2+2 < y, (y-1)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1, 1], [11, 11
], [5, 5]]]], [[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), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [2, 2], [-3, -3]]]], [
[9, 5, 5, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304
, -5818805/4194304], [-3213831/4194304, -3213831/4194304], [2, 2], [0, 0]]]],
[[9, 5, 5, 9, 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), u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
3213831/4194304, -3213831/4194304], [2, 2], [3, 3]]]], [[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 < x, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-225185/1048576, -225185/1048576], [-2, -2], [0,
0]]]], [[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 = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [239655/1048576, 
239655/1048576], [-29957/131072, -239655/1048576], [0, 0]]]], [[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(
-u^2+v^2-1 < 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], [-450371/2097152, -450371/2097152], [-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(-u^2+v^2-1 < 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], [-450371/2097152, -450371/2097152], [-485927/1048576
, -242963/524288]]]], [[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(-u^2+v^2-1 < 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], [-450371/2097152, -450371/2097152], [0, 0]]]], [[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(-u^2
+v^2-1 < 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], [-450371/2097152, -450371/2097152], [242963/524288, 485927/1048576]
]]], [[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(-u^2+v^2-1 < 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], [-450371/2097152, -450371/2097152
], [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 < x-u^2+v^2+1, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [501965/2097152, 501965/2097152], [-2, -2], [0, 0]]]], [[9, 17, 4, 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, 4, 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, 4, 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, 7,
3, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), And(x < y
,y < 0), z < -(y-x)^(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, 3, 2], [v = 2^(1/2), 
And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), And(x < y,y < 0), z = -(y-x)^(
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, 3, 3], [v = 2^(1/2)
, And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), And(x < y,y < 0), And(-(y-x)
^(1/2) < z,z < (y-x)^(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, 3, 4], [v = 2^(1/2), 
And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = 2^(1/2),
And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), And(x < y,y < 0), (y-x)^(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, 8, 2, 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, 2, 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, 2, 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, 5, 2, 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, 5, 1], [v = 2^(1/2), And(1 < u,u < v), x =
-1, And(u^2-2 < y,y < 0), z < -(y+1)^(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(u^2-2 < y,y < 0), z = -(y+1)^(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(u^2-2 < y,y
< 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(u^2-2 < y,y < 0), z = (y+1)^(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(u^2-2 < y,y < 0), (y+1)^(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 < -(u^2-v^2+1)^(1/
2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1, -1],
[391655/262144, 1566621/1048576], [-3, -3]]]], [[11, 3, 4, 8, 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], [391655/262144, 1566621/1048576], [-1655969/1048576, -3311937/2097152
]]]], [[11, 3, 4, 8, 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], [
391655/262144, 1566621/1048576], [-1/4194304, -1/4194304]]]], [[11, 3, 4, 8, 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], [391655/262144, 1566621/1048576], [51749/32768, 
1655969/1048576]]]], [[11, 3, 4, 8, 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], [391655/262144, 
1566621/1048576], [3, 3]]]], [[11, 5, 4, 2, 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, 2, 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, 2, 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, 9, 4, 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 < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), 
And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 <
y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-11, -11], [0, 0],
[-5, -5]]]], [[11, 11, 1, 8, 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
, 8, 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, 8, 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, 8, 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, 16, 6, 3, 1], [2^(1/2) < v, u = v, x
= 1, And(0 < y,y < 1), z = z], [regular_chain, [[3, 3], [3, 3], [1, 1], [1/2,
1/2], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [-1579769/
2097152, -1579769/2097152], [-1, -1]]]], [[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 = x, z = 0], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1579769/2097152,
-1579769/2097152], [-1579769/2097152, -1579769/2097152], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072],
[-1579769/2097152, -1579769/2097152], [-1579769/2097152, -1579769/2097152], [1
, 1]]]], [[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 < -u^2+v^2-1, z = z], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-129143/262144, -516571/1048576], [-2, -2], [0, 0
]]]], [[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 = z], [regular_chain, [[-3, -3], [0
, 0], [-1/2, -1/2], [-10, -10], [0, 0]]]], [[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], [-5260377/2097152, -657547/262144], [-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], [-5260377/2097152, -\
657547/262144], [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
], [-5260377/2097152, -657547/262144], [1, 1]]]], [[1, 18, 8, 6, 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, 6
, 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, 6, 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,
6, 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, 6, 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, 6, 2, 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, 3, 4, 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], [-3651195/2097152, -\
3651195/2097152], [-1, -1]]]], [[2, 3, 3, 4, 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], [-3651195/2097152, -3651195/2097152], [0, 0]]]], [
[2, 3, 3, 4, 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], [-\
3651195/2097152, -3651195/2097152], [1, 1]]]], [[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 < 0), z < -(u^2+y-1)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-1546383/1048576, -773191/524288], [-3982451/
8388608, -3982451/8388608], [-3, -3]]]], [[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 < 0), z = -(u^2+y-1)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1546383/1048576, -773191/524288], [-3982451/8388608, -\
3982451/8388608], [-1048577/1048576, -1]]]], [[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 < 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], [-3982451/8388608, -3982451/8388608], [0, 0]]]], [[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 < 0), z =
(u^2+y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-1546383/1048576, -773191/524288], [-\
3982451/8388608, -3982451/8388608], [1, 1048577/1048576]]]], [[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 < 0), (
u^2+y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-1546383/1048576, -773191/524288], [-\
3982451/8388608, -3982451/8388608], [3, 3]]]], [[2, 7, 1, 5, 1], [v = -2^(1/2)
, And(v < u,u < -1), x < u^2-3, And(u^2+x-1 < y,y < x-u^2+3), z < -(y-x)^(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-1 < y,y < x-u^2+3), z = -(y-x)^(
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-1 < y,y < x-u^2+3), And(-(y-x)^
(1/2) < z,z < (y-x)^(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-1 < y
,y < x-u^2+3), z = (y-x)^(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-1 < y
,y < x-u^2+3), (y-x)^(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 = x+2, z < -2^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [2, 2], [4, 4],
[-3, -3]]]], [[2, 8, 9, 6, 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, 6, 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, 6, 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, 6, 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, 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 < x+
1), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
741455/524288, 1482911/1048576], [2, 2], [5/2, 5/2], [-2, -2]]]], [[2, 14, 7,
5, 2], [v = -2^(1/2), u = -v, 1 < x, And(x < y,y < x+1), z = -(y-x)^(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, 5, 3], [v = -2^(1/2), u = -v, 1 < x, And(x < y,y < x+1), And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
741455/524288, 1482911/1048576], [2, 2], [5/2, 5/2], [0, 0]]]], [[2, 14, 7, 5,
4], [v = -2^(1/2), u = -v, 1 < x, And(x < y,y < x+1), z = (y-x)^(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, 5,
5], [v = -2^(1/2), u = -v, 1 < x, And(x < y,y < x+1), (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [2, 2], [5/2, 5/2], [2, 2]]]], [[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 = u^2-v^2+x+1, z < -(u^2-v^2+1)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-10,
-10], [-1527887/1048576, -763943/524288], [-4, -4]]]], [[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 = u^2-v^2+x+1, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3, -3], [-10, -10], [-1527887/1048576, -763943/524288], [-1532401/524288, -\
24518415/8388608]]]], [[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 = u^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], [-1527887/1048576, -763943/524288], [-7/16777216, -7/16777216]]
]], [[3, 1, 1, 6, 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], [-1527887/1048576, -763943/
524288], [3064801/1048576, 1532401/524288]]]], [[3, 1, 1, 6, 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], [-1527887/1048576, -763943/524288], [4, 4]]]], [[3, 2, 7, 9, 1], [
And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y, z < -
(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297
/2097152, -7798593/4194304], [1/2, 1/2], [5, 5], [-4, -4]]]], [[3, 2, 7, 9, 2]
, [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y, z
= -(y-x)^(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, 9, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)
^(1/2), And(0 < x,x < 1), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [1/2, 1/2], [5, 5], [0, 0]]]], [[3, 2, 7, 9, 4], [And(-2^(1/
2) < v,v < -1), u = -(v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y, z = (y-x)^(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, 9, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(0 < x,x < 1
), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [1/2, 1/2], [5, 5], [4, 4]]]],
[[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 < x-u^2+v^2+1), z < -(y-x)^(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 < x-u^2+v^2+1), z = -(y-x)^(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 < x-u^2+v^2+1), And(-(y-x)^(1/2
) < z,z < (y-x)^(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 < x-u^2+v^2+1), z = (y-x)^(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 < x-u^2+v^2+1)
, (y-x)^(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 = 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, 6, 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, 6, 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, 6, 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, 6, 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, 1, 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], [-17, -17], [0, 0]]]], [[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(x-u^2+2 < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3], [-5/8, -5/8], [-3, -3]]]], [
[4, 7, 1, 7, 2], [v = -1, And(-1 < u,u < 0), x < u^2-2, And(x-u^2+2 < y,y < 0)
, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3], [-5/8,
-5/8], [-3231929/2097152, -403991/262144]]]], [[4, 7, 1, 7, 3], [v = -1, And(-\
1 < u,u < 0), x < u^2-2, And(x-u^2+2 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x
)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3], [-5/8, -5/8], [0
, 0]]]], [[4, 7, 1, 7, 4], [v = -1, And(-1 < u,u < 0), x < u^2-2, And(x-u^2+2
< y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3
], [-5/8, -5/8], [403991/262144, 1615965/1048576]]]], [[4, 7, 1, 7, 5], [v = -\
1, And(-1 < u,u < 0), x < u^2-2, And(x-u^2+2 < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3], [-5/8, -5/8], [3, 3]]]], [[4
, 9, 1, 1, 1], [v = -1, And(0 < u,u < 1), x < u^2-2, y < x, z = z], [
regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [-4, -4], [0, 0]]]], [[4, 14,
5, 7, 1], [v = -1, u = 3^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), z < -(y
-x)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1/2
, -1/2], [5/4, 5/4], [-3, -3]]]], [[4, 14, 5, 7, 2], [v = -1, u = 3^(1/2), And
(-1 < x,x < 0), And(0 < y,y < x+3), z = -(y-x)^(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, 7, 3], [v = -1, u = 3^(1/2), And(-1 < x,x <
0), And(0 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[-1, -1], [908093/524288, 1816187/1048576], [-1/2, -1/2], [5/4, 5/4], [0, 0
]]]], [[4, 14, 5, 7, 4], [v = -1, u = 3^(1/2), And(-1 < x,x < 0), And(0 < y,y
< x+3), z = (y-x)^(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, 7, 5], [v = -1, u = 3^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), (y-x)^(
1/2) < z], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1/2,
-1/2], [5/4, 5/4], [3, 3]]]], [[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(x-u^2+v^2+1 < y,y < x), z = z], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8, -43/8], [-37/4, -37/4], [0, 0]
]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-3, -3], [0, 0], [-3, -3]]]], [[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 = 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
, 8, 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, 8, 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, 8, 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, 2, 7, 1], [
And(-1 < v,v < 0), And(v < u,u < -v), x = u^2-v^2-1, 0 < y, z < -(y-u^2+v^2+1)
^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-5/4, -5/4], [1, 1], [-3, -3]
]]], [[5, 7, 2, 7, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x = u^2-v^2-1, 0
< y, z = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-5/4,
-5/4], [1, 1], [-3/2, -3/2]]]], [[5, 7, 2, 7, 3], [And(-1 < v,v < 0), And(v <
u,u < -v), x = u^2-v^2-1, 0 < y, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1
)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [-5/4, -5/4], [1, 1], [0, 0]
]]], [[5, 7, 2, 7, 4], [And(-1 < v,v < 0), And(v < u,u < -v), x = u^2-v^2-1, 0
< y, z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-5/4, -\
5/4], [1, 1], [3/2, 3/2]]]], [[5, 7, 2, 7, 5], [And(-1 < v,v < 0), And(v < u,u
< -v), x = u^2-v^2-1, 0 < y, (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1/2,
-1/2], [0, 0], [-5/4, -5/4], [1, 1], [3, 3]]]], [[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, 0 < y, z < -(y-x)^(1/2)
], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-3, -3]
, [1, 1], [-3, -3]]]], [[5, 9, 1, 9, 2], [And(-1 < v,v < 0), And(-v < u,u < (v
^2+1)^(1/2)), x < -u^2+v^2-1, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1/2
, -1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [1, 1], [-2, -2]]]], [[
5, 9, 1, 9, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^
2-1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1
/2], [1696631/2097152, 1696631/2097152], [-3, -3], [1, 1], [0, 0]]]], [[5, 9,
1, 9, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, 0
< y, z = (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-3, -3], [1, 1], [2, 2]]]], [[5, 9, 1, 9, 5], [And(-1 < v,v
< 0), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, 0 < y, (y-x)^(1/2) < z],
[regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [
1, 1], [3, 3]]]], [[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(x-u^2+v^2+1 < y,y < x), z = z], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-4, -4], [-\
4437325/1048576, -4437325/1048576], [0, 0]]]], [[6, 1, 7, 1, 1], [v = 0, u < -
2^(1/2), And(0 < x,x < 1), y < x-u^2+1, z = z], [regular_chain, [[0, 0], [-3,
-3], [1/2, 1/2], [-9, -9], [0, 0]]]], [[6, 3, 4, 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, 4, 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, 4,
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, 9, 2, 1, 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], [-4, -4], [0, 0]]]], [[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 = x-u^2+v^2+1, z
= z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1/2, -1
/2], [-4041321/4194304, -16165283/16777216], [0, 0]]]], [[7, 5, 4, 5, 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 < -(y+1)^(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(-u^2+v
^2 < y,y < 0), z = -(y+1)^(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(-u^2+v^2 < y,y < 0), And(-(y+1)^(1
/2) < z,z < (y+1)^(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(-u^2+v^2 < y,y < 0), z = (y+1)^(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(-u^2+v^2 < y,y < 0), (
y+1)^(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(x < y,y < u^2+x), z < -(y-x
)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [1/2, 1/2], [5, 5], [-4, -4]]]],
[[8, 1, 7, 7, 2], [v = 1, u < -3^(1/2), And(0 < x,x < 1), And(x < y,y < u^2+x)
, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [1/2, 1/2], [5, 5], [-\
1112183/524288, -2224365/1048576]]]], [[8, 1, 7, 7, 3], [v = 1, u < -3^(1/2),
And(0 < x,x < 1), And(x < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[1, 1], [-3, -3], [1/2, 1/2], [5, 5], [0, 0]]]], [[8, 1, 7,
7, 4], [v = 1, u < -3^(1/2), And(0 < x,x < 1), And(x < y,y < u^2+x), z = (y-x)
^(1/2)], [regular_chain, [[1, 1], [-3, -3], [1/2, 1/2], [5, 5], [2224365/
1048576, 1112183/524288]]]], [[8, 1, 7, 7, 5], [v = 1, u < -3^(1/2), And(0 < x
,x < 1), And(x < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-3,
-3], [1/2, 1/2], [5, 5], [4, 4]]]], [[8, 3, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 6,
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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 1], [v = 1, And(0 < u
,u < 1), x = -u^2, And(-u^2 < y,y < 0), 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, 3, 2],
[v = 1, And(0 < u,u < 1), x = -u^2, And(-u^2 < y,y < 0), 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, 3, 3], [v = 1, And(0 < u,u < 1), x = -
u^2, And(-u^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], [-1/8, -1/8], [0, 0]]]], [[8
, 9, 6, 3, 4], [v = 1, And(0 < u,u < 1), x = -u^2, And(-u^2 < y,y < 0), 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, 3, 5], [v = 1, And(0 < u,u < 1),
x = -u^2, And(-u^2 < y,y < 0), (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, 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 <
0), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1,
1], [-5812145/2097152, -5812145/2097152], [0, 0]]]], [[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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z < -(y-x)^(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, 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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = -(y-x)^(
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, 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(x-u^2+v^2+1 < y,y <
u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = (y-x)^(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, 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(x-u^2+v^2+1 < y,y < u^
2-v^2+x+1), (y-x)^(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, 8, 2, 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, 2, 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, 2, 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, 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 = x-u^2+v^2+1, z < -(-u
^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0],
[-1/2, -1/2], [1026087/524288, 2052175/1048576], [-3, -3]]]], [[9, 9, 5, 8, 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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743
/1048576, 1265743/1048576], [0, 0], [-1/2, -1/2], [1026087/524288, 2052175/
1048576], [-410915/262144, -3287319/2097152]]]], [[9, 9, 5, 8, 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-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], [-1/2, -1/2], [
1026087/524288, 2052175/1048576], [-1/4194304, -1/4194304]]]], [[9, 9, 5, 8, 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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [-1/2, -1/2], [1026087/524288, 
2052175/1048576], [1643659/1048576, 410915/262144]]]], [[9, 9, 5, 8, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-1/2, -1/2], [1026087/524288, 2052175/
1048576], [3, 3]]]], [[9, 11, 4, 7, 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 < -(y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [149551/524288, 149551/524288], [-3, -3]]]], [[9, 11, 4, 7
, 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 = -(y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-1, -1], [149551/524288, 149551/
524288], [-1188757/1048576, -297189/262144]]]], [[9, 11, 4, 7, 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(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1], [149551/524288,
149551/524288], [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(0 < y,y < -u^2+v^2), z = (y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [149551/524288, 149551/524288], [297189/262144, 1188757/
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(0 < y,y < -u^2+v^2), (y+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1],
[149551/524288, 149551/524288], [3, 3]]]], [[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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [501965/2097152, 
501965/2097152], [1550541/1048576, 1550541/1048576], [-3, -3]]]], [[9, 15, 7,
7, 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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [501965/2097152, 501965/2097152], [1550541/1048576, 1550541/1048576],
[-583671/524288, -1167341/1048576]]]], [[9, 15, 7, 7, 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(x
< y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [501965/
2097152, 501965/2097152], [1550541/1048576, 1550541/1048576], [0, 0]]]], [[9,
15, 7, 7, 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(x < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [501965/2097152, 501965/2097152], [1550541/1048576, 1550541/1048576],
[1167341/1048576, 583671/524288]]]], [[9, 15, 7, 7, 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(x <
y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [501965/2097152, 501965/
2097152], [1550541/1048576, 1550541/1048576], [3, 3]]]], [[9, 17, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 9, 1], [v = 2^(1/2), And(-3^(1/
2) < u,u < -v), And(-1 < x,x < u^2-3), u^2+x-1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-799673/1048576, -799673/1048576], [2, 2], [-3, -3]]]], [[10, 5, 5,
9, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-1 < x,x < u^2-3), u^2+x-1
< y, z = -(y-x)^(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, 9, 3], [v = 2^(1/2), And(
-3^(1/2) < u,u < -v), And(-1 < x,x < u^2-3), u^2+x-1 < y, And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [-799673/1048576, -799673/1048576], [2, 2]
, [0, 0]]]], [[10, 5, 5, 9, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-1
< x,x < u^2-3), u^2+x-1 < y, z = (y-x)^(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, 9, 5
], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-1 < x,x < u^2-3), u^2+x-1 < y,
(y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195
/4194304, -6598195/4194304], [-799673/1048576, -799673/1048576], [2, 2], [3, 3
]]]], [[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 = x-u^2+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, 8, 2], [v = 2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), y
= x-u^2+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, 8, 3], [v = 2^(1/2), And(0 < u,u < 1), And(-1 < x,x
< 0), y = x-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], [-1/2, -1/2], [9
/4, 9/4], [-1/4194304, -1/4194304]]]], [[10, 11, 5, 8, 4], [v = 2^(1/2), And(0
< u,u < 1), And(-1 < x,x < 0), y = x-u^2+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, 8, 5], [v = 2^(1/2
), And(0 < u,u < 1), And(-1 < x,x < 0), y = x-u^2+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, 7, 1], [v = 2^(1/2), And(1 < u,u < v), x = -\
1, And(0 < y,y < -u^2+2), z < -(y+1)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [569265/
2097152, 569265/2097152], [-3, -3]]]], [[10, 13, 4, 7, 2], [v = 2^(1/2), And(1
< u,u < v), x = -1, And(0 < y,y < -u^2+2), z = -(y+1)^(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, 7, 3], [v = 2^(1/2), And(1 < u,u < v), x = -1, And(0 < y,y < -u^2+2
), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [569265/
2097152, 569265/2097152], [0, 0]]]], [[10, 13, 4, 7, 4], [v = 2^(1/2), And(1 <
u,u < v), x = -1, And(0 < y,y < -u^2+2), z = (y+1)^(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, 7, 5], [v = 2^(1/2), And(1 < u,u < v), x = -1, And(0 < y,y < -u^2+2), (
y+1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-1, -1], [569265/2097152, 569265/2097152], [3, 3]]
]], [[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 = 0, z < -1], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [-1, -1], [0, 0], [-2, -2]]]], [[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 = 0, z = -1], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1, -1], [0, 0]
, [-1, -1]]]], [[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 = 0, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [-1, -1], [0, 0], [0, 0]]]], [[11, 3, 4, 6
, 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, 6, 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, 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(x
-u^2+v^2+1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [-1552149/
4194304, -1552149/4194304], [-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(x-u^2+v^2+1 < y,y
< 0), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [-2614535/2097152, -2614535/2097152], [-1552149/4194304, -1552149/
4194304], [-7854203/8388608, -3927101/4194304]]]], [[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(x-u^2+v^2
+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3]
, [-403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [-\
1552149/4194304, -1552149/4194304], [-1/8388608, -1/8388608]]]], [[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(x-u^2+v^2+1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [-\
1552149/4194304, -1552149/4194304], [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(x-u^2+v^2+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [-\
1552149/4194304, -1552149/4194304], [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 = z], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [0, 0], [-2, -\
2], [0, 0]]]], [[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 = z], [
regular_chain, [[3, 3], [0, 0], [-11/2, -11/2], [-27/2, -27/2], [0, 0]]]], [[
11, 16, 6, 1, 1], [2^(1/2) < v, u = v, x = 1, y < 0, z = z], [regular_chain, [
[3, 3], [3, 3], [1, 1], [-1, -1], [0, 0]]]], [[11, 18, 6, 3, 1], [2^(1/2) < v,
u = (v^2+1)^(1/2), x = 0, And(0 < y,y < 2), 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(0 < y,y < 2), 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(0
< y,y < 2), 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(0 < y,y < 2), 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(0 < y,y
< 2), 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(0 < y,y < 1), 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 < -(u^2-v^2+1)^(1
/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-1/2,
-1/2], [522727/262144, 2090909/1048576], [-3, -3]]]], [[1, 3, 5, 8, 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], [522727/262144, 2090909/1048576], [-\
1655969/1048576, -3311937/2097152]]]], [[1, 3, 5, 8, 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], [522727/262144, 2090909/
1048576], [-1/4194304, -1/4194304]]]], [[1, 3, 5, 8, 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], [522727/262144, 2090909/1048576], [51749/32768, 
1655969/1048576]]]], [[1, 3, 5, 8, 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],
[522727/262144, 2090909/1048576], [3, 3]]]], [[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], [
516571/1048576, 129143/262144], [-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], [
516571/1048576, 129143/262144], [-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], [516571/1048576, 129143/
262144], [-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], [
516571/1048576, 129143/262144], [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], [516571/1048576, 129143/262144], [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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[-3,
-3], [-22960369/8388608, -22960369/8388608], [533035/2097152, 533035/2097152],
[3163223/2097152, 3163223/2097152], [-3, -3]]]], [[1, 9, 7, 7, 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
(x < y,y < x-u^2+v^2+1), z = -(y-x)^(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, 7, 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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x
)^(1/2))], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608],
[533035/2097152, 533035/2097152], [3163223/2097152, 3163223/2097152], [0, 0]]]
], [[1, 9, 7, 7, 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(x < y,y < x-u^2+v^2+1), z = (y-x)^(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, 7, 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(x < y,y < x-u^2+v^2+1), (y-x
)^(1/2) < z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608
], [533035/2097152, 533035/2097152], [3163223/2097152, 3163223/2097152], [3, 3
]]]], [[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 < x+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [2,
2], [5/2, 5/2], [-2, -2]]]], [[1, 16, 7, 5, 2], [v < -2^(1/2), u = -v, 1 < x,
And(x < y,y < x+1), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [2,
2], [5/2, 5/2], [-1482911/2097152, -741455/1048576]]]], [[1, 16, 7, 5, 3], [v
< -2^(1/2), u = -v, 1 < x, And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^
(1/2))], [regular_chain, [[-3, -3], [3, 3], [2, 2], [5/2, 5/2], [0, 0]]]], [[1
, 16, 7, 5, 4], [v < -2^(1/2), u = -v, 1 < x, And(x < y,y < x+1), z = (y-x)^(1
/2)], [regular_chain, [[-3, -3], [3, 3], [2, 2], [5/2, 5/2], [741455/1048576,
46341/65536]]]], [[1, 16, 7, 5, 5], [v < -2^(1/2), u = -v, 1 < x, And(x < y,y
< x+1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [3, 3], [2, 2], [5/2, 5/2
], [2, 2]]]], [[1, 20, 8, 5, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 1, And(
1 < y,y < 4), z < -(y-1)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576,
1738867/524288], [1, 1], [5/2, 5/2], [-3, -3]]]], [[1, 20, 8, 5, 2], [v < -2^(
1/2), u = (v^2+2)^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 3], [v < -2^(1/2), u
= (v^2+2)^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 1,
And(1 < y,y < 4), 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, 5, 5], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 1, And(1 < y,y <
4), (y-1)^(1/2) < z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [1, 1], [5/2, 5/2], [3, 3]]]], [[2, 1, 5, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 2, 1], [v = -2^(1/2), u = 0, And(0 <
x,x < 1), y = x-1, z = z], [regular_chain, [[-1482911/1048576, -741455/524288]
, [0, 0], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[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 = 3, z
< -2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/
524288, 1816187/1048576], [1, 1], [3, 3], [-3, -3]]]], [[2, 16, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 2, 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, 4, 6, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 7, 1], [And(-2^(1/2) < v,v < -1), u = v, And(0 < x,x < 1), x+
1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [3, 3], [-3, -3]]]], [[3,
6, 5, 7, 2], [And(-2^(1/2) < v,v < -1), u = v, And(0 < x,x < 1), x+1 < y, z =
-(y-x)^(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, 7, 3], [And(-2^(1/2) < v,v < -1), u = v, And(0 <
x,x < 1), x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [1/2
, 1/2], [3, 3], [0, 0]]]], [[3, 6, 5, 7, 4], [And(-2^(1/2) < v,v < -1), u = v,
And(0 < x,x < 1), x+1 < y, z = (y-x)^(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, 7, 5], [And(-2^(1/2) <
v,v < -1), u = v, And(0 < x,x < 1), x+1 < y, (y-x)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [
1/2, 1/2], [3, 3], [3, 3]]]], [[3, 10, 8, 7, 1], [And(-2^(1/2) < v,v < -1), u
= (v^2-1)^(1/2), x = 1, 3 < y, z < -(y-1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [1, 1], [4, 4], [
-3, -3]]]], [[3, 10, 8, 7, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x
= 1, 3 < y, 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, 7, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1
)^(1/2), x = 1, 3 < y, 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, 7, 4], [And(-2^(1/2) < v,v
< -1), u = (v^2-1)^(1/2), x = 1, 3 < y, 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, 7, 5], [And(-2^(1/2) <
v,v < -1), u = (v^2-1)^(1/2), x = 1, 3 < y, (y-1)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [1, 1]
, [4, 4], [3, 3]]]], [[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 < x, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [-4,
-4], [0, 0]]]], [[3, 14, 6, 5, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2
), x = 0, 2 < y, z < -y^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1643659/1048576, 410915/262144], [0, 0], [3, 3], [-3, -3]]]], [[3,
14, 6, 5, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = 0, 2 < y, 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, 5, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = 0, 2
< y, 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, 5, 4], [And(-2^(1/2) < v,v < -1), u = (v^
2+1)^(1/2), x = 0, 2 < y, 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, 5, 5], [And(-2^(1/2) < v,v < -1), u =
(v^2+1)^(1/2), x = 0, 2 < y, y^(1/2) < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [1643659/1048576, 410915/262144], [0, 0], [3, 3], [3, 3]]]]
, [[3, 16, 4, 7, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -1, And
(0 < y,y < 2), z < -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [121853/65536, 1949649/1048576], [-1, -1], [1, 1], [-3, -3]]]], [[3
, 16, 4, 7, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -1, And(0 <
y,y < 2), z = -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [-1, -1], [1, 1], [-1482911/1048576
, -741455/524288]]]], [[3, 16, 4, 7, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2
)^(1/2), x = -1, And(0 < y,y < 2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-1, -1], [1, 1], [0, 0]]]], [[3, 16, 4, 7, 4], [And(-2^(1/2) < v,v
< -1), u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 2), z = (y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-1, -1], [1, 1], [741455/524288, 1482911/1048576]]]], [[3, 16, 4, 7
, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 2),
(y+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
121853/65536, 1949649/1048576], [-1, -1], [1, 1], [3, 3]]]], [[4, 3, 1, 5, 1],
[v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, And(x < y,y < u^2+x), z < -
(y-x)^(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(x < y,y < u^2+x), z = -
(y-x)^(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(x < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2+x), z = (y-x)^(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(x < y,y <
u^2+x), (y-x)^(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 = x+2, z < -2^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [2, 2], [4, 4],
[-3, -3]]]], [[4, 4, 9, 6, 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, 6, 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, 6, 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, 6, 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, 10, 7, 1, 1], [v = -1, u = 1, 1 < x, y < 0, z =
z], [regular_chain, [[-1, -1], [1, 1], [2, 2], [-1, -1], [0, 0]]]], [[4, 12, 8
, 2, 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, 2, 1
], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = x-u^2+v^2+1,
z = z], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1/2, -1/2], [-33/4, -33/4],
[0, 0]]]], [[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 < 0), 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, 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^2-1 < y,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], [-1291597/1048576, -1291597/1048576], [-1163761/
1048576, -72735/65536]]]], [[5, 3, 2, 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^2-1 < 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], [-343151/262144, -343151/262144], [-2583195/1048576, -1291597/524288], [-\
1291597/1048576, -1291597/1048576], [0, 0]]]], [[5, 3, 2, 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
-1 < y,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], [-1291597
/1048576, -1291597/1048576], [72735/65536, 1163761/1048576]]]], [[5, 3, 2, 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^2-1 < y,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], [-1291597/1048576, -1291597/1048576], [3, 3]]]], [[5, 12, 7, 6, 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, 6, 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, 6, 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, 9, 1], [v = 0, u < -2^(1/2), x = -1, u^2 <
y, z < -(y+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-1, -1], [10, 10], [
-5, -5]]]], [[6, 1, 4, 9, 2], [v = 0, u < -2^(1/2), x = -1, u^2 < y, z = -(y+1
)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-1, -1], [10, 10], [-1738867/
524288, -3477733/1048576]]]], [[6, 1, 4, 9, 3], [v = 0, u < -2^(1/2), x = -1,
u^2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[0, 0], [-3,
-3], [-1, -1], [10, 10], [0, 0]]]], [[6, 1, 4, 9, 4], [v = 0, u < -2^(1/2), x
= -1, u^2 < y, z = (y+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-1, -1],
[10, 10], [3477733/1048576, 1738867/524288]]]], [[6, 1, 4, 9, 5], [v = 0, u <
-2^(1/2), x = -1, u^2 < y, (y+1)^(1/2) < z], [regular_chain, [[0, 0], [-3, -3]
, [-1, -1], [10, 10], [5, 5]]]], [[6, 5, 3, 7, 1], [v = 0, And(-1 < u,u < 0),
And(-u^2-1 < x,x < -1), And(0 < y,y < u^2+x+1), z < -(y-x)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8], [1/16, 1/16], [-3, -3]]]],
[[6, 5, 3, 7, 2], [v = 0, And(-1 < u,u < 0), And(-u^2-1 < x,x < -1), And(0 < y
,y < u^2+x+1), z = -(y-x)^(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, 7, 3]
, [v = 0, And(-1 < u,u < 0), And(-u^2-1 < x,x < -1), And(0 < y,y < u^2+x+1), 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2],
[-9/8, -9/8], [1/16, 1/16], [0, 0]]]], [[6, 5, 3, 7, 4], [v = 0, And(-1 < u,u
< 0), And(-u^2-1 < x,x < -1), And(0 < y,y < u^2+x+1), z = (y-x)^(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, 7, 5], [v = 0, And(-1 < u,u < 0), And(-
u^2-1 < x,x < -1), And(0 < y,y < u^2+x+1), (y-x)^(1/2) < z], [regular_chain, [
[0, 0], [-1/2, -1/2], [-9/8, -9/8], [1/16, 1/16], [3, 3]]]], [[6, 7, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6,
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, 7, 1], [And(0 < v,v < 1),
u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), z < -(y-x)^
(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-1/2, -1/2], [37/8, 37/8], [-4
, -4]]]], [[7, 1, 5, 7, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-1 < x,
x < 0), And(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 7, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-1 < x,x <
0), And(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [-3, -3], [-1/2, -1/2], [37/8, 37/8], [0, 0]]]], [
[7, 1, 5, 7, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And
(0 < y,y < u^2-v^2+x+1), z = (y-x)^(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, 7, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,
y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3, -3], [-1
/2, -1/2], [37/8, 37/8], [4, 4]]]], [[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(x-u^2+v
^2+1 < y,y < x), z = z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151
/262144], [-1815885/1048576, -1815885/1048576], [-1029453/524288, -1029453/
524288], [0, 0]]]], [[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 = 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, 4, 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, 4, 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, 4, 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, 4, 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, 3, 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^2-1 <
y,y < 0), z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152], [-1248837/
4194304, -1248837/4194304], [-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(u^2-v^2-1 < y,y < 0), z = -(y
-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [-624419/1048576, -1248837/2097152], [-1248837/4194304, -1248837/
4194304], [-1144335/2097152, -572167/1048576]]]], [[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(u^2-v^2-1 < y,y < 0)
, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[1/
2, 1/2], [1696631/2097152, 1696631/2097152], [-624419/1048576, -1248837/
2097152], [-1248837/4194304, -1248837/4194304], [0, 0]]]], [[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(u^2-v^2-1 <
y,y < 0), z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152], [-1248837/
4194304, -1248837/4194304], [572167/1048576, 71521/131072]]]], [[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(u^2-v^2
-1 < y,y < 0), (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631
/2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152], [-1248837/
4194304, -1248837/4194304], [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 = z], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1, -1], [-3, -3]
, [0, 0]]]], [[7, 12, 9, 9, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), 1 < x, x
+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [2, 2], [6
, 6], [-3, -3]]]], [[7, 12, 9, 9, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), 1
< x, x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [2,
2], [6, 6], [-2, -2]]]], [[7, 12, 9, 9, 3], [And(0 < v,v < 1), u = (v^2+2)^(1/
2), 1 < x, x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
1/2, 1/2], [3/2, 3/2], [2, 2], [6, 6], [0, 0]]]], [[7, 12, 9, 9, 4], [And(0 <
v,v < 1), u = (v^2+2)^(1/2), 1 < x, x+3 < y, z = (y-x)^(1/2)], [regular_chain,
[[1/2, 1/2], [3/2, 3/2], [2, 2], [6, 6], [2, 2]]]], [[7, 12, 9, 9, 5], [And(0
< v,v < 1), u = (v^2+2)^(1/2), 1 < x, x+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [2, 2], [6, 6], [3, 3]]]], [[8, 3, 7,
4, 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, 1, 1], [v = 1, And(-2^
(1/2) < u,u < -1), x = u^2-2, y < u^2-2, z = z], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-1138531/2097152, -569265/1048576], [-2,
-2], [0, 0]]]], [[8, 11, 5, 7, 1], [v = 1, And(1 < u,u < 2^(1/2)), And(-1 < x,
x < u^2-2), And(0 < y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[1, 1],
[1265743/1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304], [
718965/2097152, 718965/2097152], [-3, -3]]]], [[8, 11, 5, 7, 2], [v = 1, And(1
< u,u < 2^(1/2)), And(-1 < x,x < u^2-2), And(0 < y,y < u^2+x), z = -(y-x)^(1/2
)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3235683/
4194304, -3235683/4194304], [718965/2097152, 718965/2097152], [-553435/524288,
-1106869/1048576]]]], [[8, 11, 5, 7, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(-\
1 < x,x < u^2-2), And(0 < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3235683/
4194304, -3235683/4194304], [718965/2097152, 718965/2097152], [0, 0]]]], [[8,
11, 5, 7, 4], [v = 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), And(0 < y
,y < u^2+x), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-3235683/4194304, -3235683/4194304], [718965/2097152, 
718965/2097152], [1106869/1048576, 553435/524288]]]], [[8, 11, 5, 7, 5], [v =
1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), And(0 < y,y < u^2+x), (y-x)^
(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-\
3235683/4194304, -3235683/4194304], [718965/2097152, 718965/2097152], [3, 3]]]
], [[8, 13, 4, 6, 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, 6, 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, 6, 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,
6, 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, 6, 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, 1, 11, 1, 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], [-1, -1], [0, 0]]]], [[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 < -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [501965/
2097152, 501965/2097152], [4, 4], [-3, -3]]]], [[9, 3, 7, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(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,
9, 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), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, (y-x)
^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [501965/2097152, 501965/2097152], [4, 4], [3, 3]]
]], [[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 < u^2-v^2-1, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [-1116681/2097152, -\
139585/262144], [-2, -2], [0, 0]]]], [[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 < -(y+1)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 
898327/524288], [-1, -1], [3, 3], [-3, -3]]]], [[9, 15, 4, 9, 2], [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 =
-(y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [-1, -1], [3, 3], [-2, -2]]]], [[9, 15, 4, 9, 3], [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, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1265743/1048576
, 1265743/1048576], [898327/524288, 898327/524288], [-1, -1], [3, 3], [0, 0]]]
], [[9, 15, 4, 9, 4], [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 = (y+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1, -1], [3, 3], [
2, 2]]]], [[9, 15, 4, 9, 5], [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, (y+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1, -1], [
3, 3], [3, 3]]]], [[10, 1, 11, 4, 1], [v = 2^(1/2), u < -2, u^2-3 < x, y = x-u
^2+3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [7,
7], [1, 1], [0, 0]]]], [[10, 3, 8, 3, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2
)), x = u^2-3, And(0 < y,y < u^2-3), z = z], [regular_chain, [[741455/524288,
1482911/1048576], [-3913339/2097152, -3913339/2097152], [505467/1048576, 
126367/262144], [505467/2097152, 505467/2097152], [0, 0]]]], [[10, 9, 6, 2, 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, 3, 1], [v = 2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1),
And(u^2+x-1 < y,y < x), z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [-15/8, -15/8], [-9/4, -9/4], [0, 0]]]], [[10, 15, 6, 1,
1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = u^2-3, y < u^2-3, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-1101541/2097152, -275385/524288], [-2, -2], [0, 0]]]], [[10, 17, 4
, 9, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -1, u^2-2 < y, z < -(y+1)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [-1, -1], [3, 3], [-3, -3]]]], [[10, 17, 4, 9, 2], [v = 2^(1
/2), And(3^(1/2) < u,u < 2), x = -1, u^2-2 < y, z = -(y+1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-1, -1], [3, 3], [-2, -2]]]], [[10, 17, 4, 9, 3], [v = 2^(1/2), And
(3^(1/2) < u,u < 2), x = -1, u^2-2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))]
, [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339
/2097152], [-1, -1], [3, 3], [0, 0]]]], [[10, 17, 4, 9, 4], [v = 2^(1/2), And(
3^(1/2) < u,u < 2), x = -1, u^2-2 < y, z = (y+1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-1, -1],
[3, 3], [2, 2]]]], [[10, 17, 4, 9, 5], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x
= -1, u^2-2 < y, (y+1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [-1, -1], [3, 3], [3, 3]]]], [[
10, 18, 9, 9, 1], [v = 2^(1/2), u = 2, 1 < x, x+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [2, 2], [6, 6], [-3,
-3]]]], [[10, 18, 9, 9, 2], [v = 2^(1/2), u = 2, 1 < x, x+3 < y, z = -(y-x)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [2, 2], [6, 6
], [-2, -2]]]], [[10, 18, 9, 9, 3], [v = 2^(1/2), u = 2, 1 < x, x+3 < y, And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [2, 2], [6, 6], [0, 0]]]], [[10, 18, 9, 9, 4], [v = 2^(1/2),
u = 2, 1 < x, x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [2, 2], [2, 2], [6, 6], [2, 2]]]], [[10, 18, 9, 9, 5], [v =
2^(1/2), u = 2, 1 < x, x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [2, 2], [2, 2], [6, 6], [3, 3]]]], [[11, 1, 6, 6, 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, 6, 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, 6, 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, 6,
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, 6, 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, 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 = 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], [388037/524288, 776075/1048576], [-3, -3]]]], [[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 = 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], [388037
/524288, 776075/1048576], [-1281417/1048576, -160177/131072]]]], [[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 = u^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], [388037/524288, 776075/1048576], [0, 0]]]], [[11, 5, 5, 8, 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], [388037/524288,
776075/1048576], [160177/131072, 1281417/1048576]]]], [[11, 5, 5, 8, 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], [388037/524288, 776075/
1048576], [3, 3]]]], [[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(-u^2+v^2-1 < y,y < 0), 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, 3, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(-u
^2+v^2-1 < y,y < 0), 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, 3, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(-u
^2+v^2-1 < 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], [-516571/2097152, -516571/2097152], [0, 0]]]], [[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(-u^2+v
^2-1 < y,y < 0), 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, 3, 5]
, [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(-u^2+v^2-1
< y,y < 0), (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, 8, 1, 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], [-1, -1], [0, 0]]]], [[11, 14, 6, 1, 1], [2^(1/2) < v, u
= (v^2-1)^(1/2), x = 0, y < 0, z = z], [regular_chain, [[3, 3], [741455/262144
, 2965821/1048576], [0, 0], [-1, -1], [0, 0]]]], [[11, 18, 9, 5, 1], [2^(1/2)
< v, u = (v^2+1)^(1/2), 1 < x, And(x < y,y < x+2), z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [2, 2], [3, 3], [-2,
-2]]]], [[11, 18, 9, 5, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), 1 < x, And(x < y,
y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/
1048576], [2, 2], [3, 3], [-1, -1]]]], [[11, 18, 9, 5, 3], [2^(1/2) < v, u = (
v^2+1)^(1/2), 1 < x, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [2, 2], [3, 3], [
0, 0]]]], [[11, 18, 9, 5, 4], [2^(1/2) < v, u = (v^2+1)^(1/2), 1 < x, And(x <
y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/
1048576], [2, 2], [3, 3], [1, 1]]]], [[11, 18, 9, 5, 5], [2^(1/2) < v, u = (v^
2+1)^(1/2), 1 < x, And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[3,
3], [207243/65536, 3315889/1048576], [2, 2], [3, 3], [2, 2]]]], [[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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1579769/2097152,
-1579769/2097152], [-2097153/4194304, -2097153/4194304], [-2, -2]]]], [[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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3],
[-403851/131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [-\
2097153/4194304, -2097153/4194304], [-527729/1048576, -1055457/2097152]]]], [[
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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1579769/2097152
, -1579769/2097152], [-2097153/4194304, -2097153/4194304], [-1/4194304, -1/
4194304]]]], [[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(x < y,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1579769/2097152,
-1579769/2097152], [-2097153/4194304, -2097153/4194304], [32983/65536, 527729/
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(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1579769/2097152,
-1579769/2097152], [-2097153/4194304, -2097153/4194304], [2, 2]]]], [[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 = -u^2+
v^2-1, z < 0], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152]
, [-129143/262144, -516571/1048576], [-129143/262144, -516571/1048576], [-1, -\
1]]]], [[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 = -u^2+v^2-1, z = 0], [regular_chain, [[-3, -3], [-6111549/2097152,
-6111549/2097152], [-129143/262144, -516571/1048576], [-129143/262144, -516571
/1048576], [0, 0]]]], [[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 = -u^2+v^2-1, 0 < z], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-129143/262144, -516571/1048576], [-\
129143/262144, -516571/1048576], [1, 1]]]], [[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 < -(y+1)^(1
/2)], [regular_chain, [[-3, -3], [0, 0], [-1, -1], [10, 10], [-5, -5]]]], [[1,
11, 4, 9, 2], [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 = -(y+1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-1, -1]
, [10, 10], [-1738867/524288, -3477733/1048576]]]], [[1, 11, 4, 9, 3], [v < -2
^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1, -u^2+v^2 < y, And(-
(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-3, -3], [0, 0], [-1, -1]
, [10, 10], [0, 0]]]], [[1, 11, 4, 9, 4], [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 = (y+1)^(1/2)], [regular_chain,
[[-3, -3], [0, 0], [-1, -1], [10, 10], [3477733/1048576, 1738867/524288]]]], [
[1, 11, 4, 9, 5], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x
= -1, -u^2+v^2 < y, (y+1)^(1/2) < z], [regular_chain, [[-3, -3], [0, 0], [-1,
-1], [10, 10], [5, 5]]]], [[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(2*u^2-2*v^2 < y,y < u^2-v^2-1), z =
z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-5260377/
2097152, -657547/262144], [-11586825/4194304, -11586825/4194304], [0, 0]]]], [
[1, 18, 8, 7, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 1, 3 < y, z < -(y-1)^(
1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [1, 1], [4,
4], [-3, -3]]]], [[1, 18, 8, 7, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 1, 3
< y, z = -(y-1)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/
1048576], [1, 1], [4, 4], [-1816187/1048576, -3632373/2097152]]]], [[1, 18, 8,
7, 3], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 1, 3 < y, 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, 7, 4], [v < -2^(1/2),
u = (v^2+1)^(1/2), x = 1, 3 < y, z = (y-1)^(1/2)], [regular_chain, [[-3, -3],
[207243/65536, 3315889/1048576], [1, 1], [4, 4], [908093/524288, 1816187/
1048576]]]], [[1, 18, 8, 7, 5], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 1, 3 < y
, (y-1)^(1/2) < z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576]
, [1, 1], [4, 4], [3, 3]]]], [[1, 20, 6, 3, 1], [v < -2^(1/2), u = (v^2+2)^(1/
2), x = 0, And(-1 < y,y < 0), z = z], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [0, 0], [-1/2, -1/2], [0, 0]]]], [[2, 3, 3, 3, 1], [
v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), And(x-u^2+3 <
y,y < x), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [-3651195/2097152, -3651195/2097152], [-\
8313323/4194304, -8313323/4194304], [0, 0]]]], [[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], [-15929805/16777216, -\
3982451/4194304], [-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], [-15929805/16777216, -3982451/4194304], [-\
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], [-15929805/
16777216, -3982451/4194304], [-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], [-15929805/16777216, -\
3982451/4194304], [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], [-15929805/16777216, -\
3982451/4194304], [2, 2]]]], [[2, 7, 1, 6, 1], [v = -2^(1/2), And(v < u,u < -1
), x < u^2-3, y = x-u^2+3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-3, -3], [-\
1527887/1048576, -763943/524288], [-3, -3]]]], [[2, 7, 1, 6, 2], [v = -2^(1/2)
, And(v < u,u < -1), x < u^2-3, y = x-u^2+3, z = -(-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-3, -3], [-1527887/1048576, -763943/524288], [-1302471/
1048576, -651235/524288]]]], [[2, 7, 1, 6, 3], [v = -2^(1/2), And(v < u,u < -1
), x < u^2-3, y = x-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], [-3, -3], [-1527887/1048576, -763943/524288], [0, 0]]]], [[2
, 7, 1, 6, 4], [v = -2^(1/2), And(v < u,u < -1), x < u^2-3, y = x-u^2+3, z = (
-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743
/1048576, -1265743/1048576], [-3, -3], [-1527887/1048576, -763943/524288], [
651235/524288, 1302471/1048576]]]], [[2, 7, 1, 6, 5], [v = -2^(1/2), And(v < u
,u < -1), x < u^2-3, y = x-u^2+3, (-u^2+3)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-3, -\
3], [-1527887/1048576, -763943/524288], [3, 3]]]], [[2, 8, 9, 7, 1], [v = -2^(
1/2), u = -1, 1 < x, x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [2, 2], [5, 5], [-3, -3]]]], [[2, 8, 9, 7,
2], [v = -2^(1/2), u = -1, 1 < x, x+2 < y, z = -(y-x)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1, -1], [2, 2], [5, 5], [-1816187/
1048576, -3632373/2097152]]]], [[2, 8, 9, 7, 3], [v = -2^(1/2), u = -1, 1 < x,
x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]
], [[2, 8, 9, 7, 4], [v = -2^(1/2), u = -1, 1 < x, x+2 < y, z = (y-x)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [2, 2], [5, 5],
[908093/524288, 1816187/1048576]]]], [[2, 8, 9, 7, 5], [v = -2^(1/2), u = -1,
1 < x, x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1, -1], [2, 2], [5, 5], [3, 3]]]], [[2, 12, 8, 3, 1], [v = -2^(1/2)
, u = 1, x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[-1482911/1048576,
-741455/524288], [1, 1], [1, 1], [1/2, 1/2], [0, 0]]]], [[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(u^2-v^2+x+1
< y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [-10, -10], [-763943/1048576, -763943/1048576], [-5, -5]]]
], [[3, 1, 1, 7, 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 < 0), z = -(y-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [-10, -10], [-763943/1048576, -\
763943/1048576], [-3192815/1048576, -1596407/524288]]]], [[3, 1, 1, 7, 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 < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-3, -3], [-10, -10], [-763943/1048576, -763943/
1048576], [0, 0]]]], [[3, 1, 1, 7, 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 < 0), z = (y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-10, -10], [-\
763943/1048576, -763943/1048576], [1596407/524288, 3192815/1048576]]]], [[3, 1
, 1, 7, 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 < 0), (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3, -3], [-10, -10], [-763943/1048576, -763943/1048576], [
5, 5]]]], [[3, 2, 8, 1, 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], [-1, -1], [0, 0]]]], [[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], [-5390715/
2097152, -2695357/1048576], [-2, -2]]]], [[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], [-5390715/2097152, -2695357/
1048576], [-1374407/2097152, -687203/1048576]]]], [[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], [-5390715/2097152, -2695357/1048576], [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], [-5390715/2097152, -\
2695357/1048576], [687203/1048576, 171801/262144]]]], [[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], [-5390715/2097152, -\
2695357/1048576], [2, 2]]]], [[3, 8, 9, 5, 1], [And(-2^(1/2) < v,v < -1), u =
-(v^2-1)^(1/2), 1 < x, And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [2,
2], [3, 3], [-2, -2]]]], [[3, 8, 9, 5, 2], [And(-2^(1/2) < v,v < -1), u = -(v^
2-1)^(1/2), 1 < x, And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [2, 2]
, [3, 3], [-1, -1]]]], [[3, 8, 9, 5, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-\
1)^(1/2), 1 < x, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [2, 2], [3, 3], [0, 0]]]], [[3, 8, 9, 5, 4], [And(-2^(1/2) < v
,v < -1), u = -(v^2-1)^(1/2), 1 < x, And(x < y,y < x+2), z = (y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [2, 2], [3, 3], [1, 1]]]], [[3, 8, 9, 5, 5], [And(-2^(1/2) < v
,v < -1), u = -(v^2-1)^(1/2), 1 < x, And(x < y,y < x+2), (y-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [2, 2], [3, 3], [2, 2]]]], [[4, 1, 1, 9, 1], [v = -1, u < -3^(
1/2), x < -u^2, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-3, -3],
[-10, -10], [1, 1], [-5, -5]]]], [[4, 1, 1, 9, 2], [v = -1, u < -3^(1/2), x <
-u^2, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-10, -10
], [1, 1], [-1738867/524288, -3477733/1048576]]]], [[4, 1, 1, 9, 3], [v = -1,
u < -3^(1/2), x < -u^2, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1, -1], [-3, -3], [-10, -10], [1, 1], [0, 0]]]], [[4, 1, 1,
9, 4], [v = -1, u < -3^(1/2), x < -u^2, 0 < y, z = (y-x)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [-10, -10], [1, 1], [3477733/1048576, 
1738867/524288]]]], [[4, 1, 1, 9, 5], [v = -1, u < -3^(1/2), x < -u^2, 0 < y,
(y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-3, -3], [-10, -10], [1, 1], [5,
5]]]], [[4, 2, 8, 3, 1], [v = -1, u = -3^(1/2), x = 1, And(0 < y,y < 1), z = z
], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [1, 1], [1
/2, 1/2], [0, 0]]]], [[4, 7, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 9, 1, 2, 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, 2, 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, 2, 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, 14,
5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 2, 1], [And(-1 < v,v < 0), u < -(v
^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = x-u^2+v^2+1, z = z], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8, -43/8], [-105/8, -105/8], [0,
0]]]], [[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, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [-3, -3], [1, 1], [-3, -3]]]], [[5, 5, 1,
9, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, 0 <
y, z = -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-3, -3], [1, 1], [-2, -2]]]], [[5, 5, 1, 9, 3], [And(-1 < v
,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, 0 < y, And(-(y-x)^(1/2
) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-3, -3], [1, 1], [0, 0]]]], [[5, 5, 1, 9, 4], [And(-1 < v,v
< 0), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, 0 < y, z = (y-x)^(1/2)],
[regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-3, -3],
[1, 1], [2, 2]]]], [[5, 5, 1, 9, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) <
u,u < v), x < -u^2+v^2-1, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/
2], [-1696631/2097152, -1696631/2097152], [-3, -3], [1, 1], [3, 3]]]], [[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
< x, z = z], [regular_chain, [[-1/2, -1/2], [0, 0], [-9/8, -9/8], [-3, -3], [0
, 0]]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [-3, -3], [0, 0], [-3, -3]]]], [[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 = 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
, 8, 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, 8, 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, 8, 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, 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
= x-u^2+v^2+1, z = z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [-4, -4], [-4680347/1048576, -2340173/524288], [0, 0]]]], [[6, 1, 7,
2, 1], [v = 0, u < -2^(1/2), And(0 < x,x < 1), y = x-u^2+1, z = z], [
regular_chain, [[0, 0], [-3, -3], [1/2, 1/2], [-15/2, -15/2], [0, 0]]]], [[6,
3, 4, 5, 1], [v = 0, And(-2^(1/2) < u,u < -1), x = -1, And(-1 < y,y < 0), z <
-(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1
< y,y < 0), (y+1)^(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, 0 < y, z < -(y-x)^(1/2)], [regular_chain,
[[0, 0], [1265743/1048576, 1265743/1048576], [-4, -4], [1, 1], [-4, -4]]]], [[
6, 9, 1, 9, 2], [v = 0, And(1 < u,u < 2^(1/2)), x < -u^2-1, 0 < y, z = -(y-x)^
(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-4, -4],
[1, 1], [-146543/65536, -2344687/1048576]]]], [[6, 9, 1, 9, 3], [v = 0, And(1
< u,u < 2^(1/2)), x < -u^2-1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-4, -4], [1, 1],
[0, 0]]]], [[6, 9, 1, 9, 4], [v = 0, And(1 < u,u < 2^(1/2)), x < -u^2-1, 0 < y
, z = (y-x)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576
], [-4, -4], [1, 1], [2344687/1048576, 146543/65536]]]], [[6, 9, 1, 9, 5], [v
= 0, And(1 < u,u < 2^(1/2)), x < -u^2-1, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-4, -4], [1, 1],
[4, 4]]]], [[6, 10, 8, 3, 1], [v = 0, u = 2^(1/2), x = 1, And(0 < y,y < 1), z
= z], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [1, 1], [1/2,
1/2], [0, 0]]]], [[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(x-u^2+v^2+1 < y,y < x), z = z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1/2, -1/2], [-\
24553891/33554432, -24553891/33554432], [0, 0]]]], [[7, 5, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 7, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, And(0 < y,y <
u^2-1), z < -(y+1)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [-1, -1], [773191/1048576, 773191/1048576], [-3, -3]]]], [[8
, 3, 4, 7, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, And(0 < y,y < u
^2-1), z = -(y+1)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195
/4194304], [-1, -1], [773191/1048576, 773191/1048576], [-691061/524288, -\
1382121/1048576]]]], [[8, 3, 4, 7, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)),
x = -1, And(0 < y,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], [
773191/1048576, 773191/1048576], [0, 0]]]], [[8, 3, 4, 7, 4], [v = 1, And(-3^(
1/2) < u,u < -2^(1/2)), x = -1, And(0 < y,y < u^2-1), z = (y+1)^(1/2)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1, -1], [
773191/1048576, 773191/1048576], [1382121/1048576, 691061/524288]]]], [[8, 3,
4, 7, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, And(0 < y,y < u^2-1)
, (y+1)^(1/2) < z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [-1, -1], [773191/1048576, 773191/1048576], [3, 3]]]], [[8, 7, 7, 5,
1], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), And(0 < y,y < u^2+x), z <
-(y-x)^(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(0 < y,y < u^2+x), z = -(y-x)^(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(0 < y,y < u^2
+x), And(-(y-x)^(1/2) < z,z < (y-x)^(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(0 < y,y < u^2+x), z = (y-x)^(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(0 < y,y < u^2+x), (y-x)^(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 = -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, 2, 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, 2, 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, 15, 2, 5, 1], [v = 1, 3^(1/2) < u, x = -u
^2, And(-u^2 < y,y < 0), z < -(u^2+y)^(1/2)], [regular_chain, [[1, 1], [3, 3],
[-9, -9], [-9/2, -9/2], [-4, -4]]]], [[8, 15, 2, 5, 2], [v = 1, 3^(1/2) < u, x
= -u^2, And(-u^2 < y,y < 0), 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
, 5, 3], [v = 1, 3^(1/2) < u, x = -u^2, And(-u^2 < y,y < 0), 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, 5, 4], [v = 1, 3^(1/2) < u, x = -u^2, And(-u^2 <
y,y < 0), 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, 5, 5], [v = 1, 3^(1
/2) < u, x = -u^2, And(-u^2 < y,y < 0), (u^2+y)^(1/2) < z], [regular_chain, [[
1, 1], [3, 3], [-9, -9], [-9/2, -9/2], [4, 4]]]], [[9, 1, 8, 4, 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, 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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
558339/2097152, -558339/2097152], [279169/1048576, 139585/524288], [-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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-558339/2097152, -558339/2097152], [279169/1048576, 139585/
524288], [-1530309/2097152, -382577/524288]]]], [[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 = x-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], [-\
558339/2097152, -558339/2097152], [279169/1048576, 139585/524288], [0, 0]]]],
[[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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-558339/2097152, -558339/2097152], [279169/1048576, 139585/
524288], [382577/524288, 765155/1048576]]]], [[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 = x-u^2+
v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/
2097152], [279169/1048576, 139585/524288], [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 < 0, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [0, 0], [-1, -1], [0, 0]]]], [[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), x-u^
2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [-1/2, -1/2], [3, 3], [-3, -3]]]], [[9, 9, 5, 9, 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)
, x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [-1/2, -1/2], [3, 3], [-7846825/4194304, -980853/
524288]]]], [[9, 9, 5, 9, 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), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0],
[-1/2, -1/2], [3, 3], [0, 0]]]], [[9, 9, 5, 9, 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), x-u^2+v^2+1 < y,
z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0],
[-1/2, -1/2], [3, 3], [980853/524288, 1961707/1048576]]]], [[9, 9, 5, 9, 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), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [0, 0], [-1/2, -1/2], [3, 3], [3, 3]]]], [[9, 11, 4, 8, 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], [-\
3, -3]]]], [[9, 11, 4, 8, 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], [-1314069/1048576, -328517/262144]]]], [[9, 
11, 4, 8, 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, 8,
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]
, [328517/262144, 1314069/1048576]]]], [[9, 11, 4, 8, 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], [3, 3]]]], [[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 = x, z < 0], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [501965/2097152, 501965/
2097152], [125491/524288, 250983/1048576], [-1, -1]]]], [[9, 15, 7, 6, 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], [
125491/524288, 250983/1048576], [0, 0]]]], [[9, 15, 7, 6, 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], [125491/524288, 
250983/1048576], [1, 1]]]], [[9, 17, 4, 5, 1], [And(1 < v,v < 2^(1/2)), (v^2+2
)^(1/2) < u, x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-\
1 < y,y < 0), z = -(y+1)^(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
(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1
< y,y < 0), z = (y+1)^(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(-1 <
y,y < 0), (y+1)^(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 < u^2-3, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
275385/524288, -1101539/2097152], [-2, -2], [0, 0]]]], [[10, 7, 6, 5, 1], [v =
2^(1/2), And(-v < u,u < -1), 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], [-1265743/
1048576, -1265743/1048576], [-479311/1048576, -239655/524288], [569265/1048576
, 569265/1048576], [-2, -2]]]], [[10, 7, 6, 5, 2], [v = 2^(1/2), And(-v < u,u
< -1), x = -u^2+1, And(0 < y,y < -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], [569265/1048576, 569265/1048576],
[-2199022958689/2199023255552, -4398045917377/4398046511104]]]], [[10, 7, 6, 5
, 3], [v = 2^(1/2), And(-v < u,u < -1), 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], [-1265743/1048576, -1265743/1048576], [-479311/
1048576, -239655/524288], [569265/1048576, 569265/1048576], [-3600577/
8796093022208, -3600577/8796093022208]]]], [[10, 7, 6, 5, 4], [v = 2^(1/2), 
And(-v < u,u < -1), 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], [-1265743/1048576, -1265743
/1048576], [-479311/1048576, -239655/524288], [569265/1048576, 569265/1048576]
, [1048575/1048576, 1]]]], [[10, 7, 6, 5, 5], [v = 2^(1/2), And(-v < u,u < -1)
, 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], [-1265743/1048576, -1265743/1048576], [-\
479311/1048576, -239655/524288], [569265/1048576, 569265/1048576], [2, 2]]]],
[[10, 11, 5, 7, 1], [v = 2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), And(0 <
y,y < x-u^2+3), z < -(y-x)^(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, 7, 2
], [v = 2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), And(0 < y,y < x-u^2+3),
z = -(y-x)^(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, 7, 3], [v = 2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), And(0 < y,y < x-u
^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 4], [v = 2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), And(0 < y,y < x-u
^2+3), z = (y-x)^(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, 7, 5], [v = 2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), And(0 < y,y <
x-u^2+3), (y-x)^(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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(
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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2
)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-2614535/
2097152, -2614535/2097152], [-776075/1048576, -1552149/2097152], [-2, -2]]]],
[[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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3,
3], [-403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [-\
776075/1048576, -1552149/2097152], [-373161/524288, -1492643/2097152]]]], [[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 = x-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], [-2614535/
2097152, -2614535/2097152], [-776075/1048576, -1552149/2097152], [-1/4194304,
-1/4194304]]]], [[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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-2614535/2097152, -\
2614535/2097152], [-776075/1048576, -1552149/2097152], [746321/1048576, 373161
/524288]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-2614535/2097152, -\
2614535/2097152], [-776075/1048576, -1552149/2097152], [2, 2]]]], [[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 = z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [0, 0], [-133259/262144, -1066071/2097152], [0, 0]]]], [[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 < x), z = z], [regular_chain, [[3, 3], [0,
0], [-11/2, -11/2], [-19/2, -19/2], [0, 0]]]], [[11, 16, 5, 7, 1], [2^(1/2) <
v, u = v, And(0 < x,x < 1), x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3
], [3, 3], [1/2, 1/2], [3, 3], [-3, -3]]]], [[11, 16, 5, 7, 2], [2^(1/2) < v,
u = v, And(0 < x,x < 1), x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3],
[3, 3], [1/2, 1/2], [3, 3], [-3315889/2097152, -207243/131072]]]], [[11, 16, 5
, 7, 3], [2^(1/2) < v, u = v, And(0 < x,x < 1), x+1 < y, And(-(y-x)^(1/2) < z,
z < (y-x)^(1/2))], [regular_chain, [[3, 3], [3, 3], [1/2, 1/2], [3, 3], [0, 0]
]]], [[11, 16, 5, 7, 4], [2^(1/2) < v, u = v, And(0 < x,x < 1), x+1 < y, z = (
y-x)^(1/2)], [regular_chain, [[3, 3], [3, 3], [1/2, 1/2], [3, 3], [207243/
131072, 1657945/1048576]]]], [[11, 16, 5, 7, 5], [2^(1/2) < v, u = v, And(0 <
x,x < 1), x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [3, 3], [1/2, 1/
2], [3, 3], [3, 3]]]], [[11, 18, 6, 2, 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, 2, 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, 2, 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, 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, 8, 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, 8, 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, 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 < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [-1/2, -1/2], [3, 3], [-3, -3]]]], [[1, 3,
5, 9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [-1/2, -1/2], [3, 3], [-7846825/4194304, -\
980853/524288]]]], [[1, 3, 5, 9, 3], [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, And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576]
, [-1/2, -1/2], [3, 3], [0, 0]]]], [[1, 3, 5, 9, 4], [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 = (y-x
)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-1
/2, -1/2], [3, 3], [980853/524288, 1961707/1048576]]]], [[1, 3, 5, 9, 5], [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, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-3396811/1048576, -\
3396811/1048576], [-1/2, -1/2], [3, 3], [3, 3]]]], [[1, 7, 8, 3, 1], [v < -2^(
1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 0, And(0 < y,y < u^2-v^2+1), z < -y^(
1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [0, 0]
, [516571/2097152, 516571/2097152], [-2, -2]]]], [[1, 7, 8, 3, 2], [v < -2^(1/
2), And(v < u,u < -(v^2-1)^(1/2)), x = 0, And(0 < y,y < u^2-v^2+1), 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, 3, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 0, And(0 < 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], [516571/2097152, 516571/2097152],
[0, 0]]]], [[1, 7, 8, 3, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x =
0, And(0 < y,y < u^2-v^2+1), 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, 3, 5], [v < -2^(1/2), And(v < u,u
< -(v^2-1)^(1/2)), x = 0, And(0 < y,y < u^2-v^2+1), y^(1/2) < z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [0, 0], [
516571/2097152, 516571/2097152], [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 = x,
z < 0], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [
533035/2097152, 533035/2097152], [266517/1048576, 133259/524288], [-1, -1]]]],
[[1, 9, 7, 6, 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], [
266517/1048576, 133259/524288], [0, 0]]]], [[1, 9, 7, 6, 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], [266517/1048576, 133259/524288], [1, 1]]]], [
[1, 14, 8, 5, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x = 1, And(1 < y,y < 3), z
< -(y-1)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576],
[1, 1], [2, 2], [-2, -2]]]], [[1, 14, 8, 5, 2], [v < -2^(1/2), u = (v^2-1)^(1/
2), x = 1, And(1 < y,y < 3), z = -(y-1)^(1/2)], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [1, 1], [2, 2], [-1, -1]]]], [[1, 14, 8, 5, 3
], [v < -2^(1/2), u = (v^2-1)^(1/2), x = 1, And(1 < y,y < 3), 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, 5, 4], [v < -2^(1/2), u = (v^
2-1)^(1/2), x = 1, And(1 < y,y < 3), z = (y-1)^(1/2)], [regular_chain, [[-3, -\
3], [741455/262144, 2965821/1048576], [1, 1], [2, 2], [1, 1]]]], [[1, 14, 8, 5
, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), x = 1, And(1 < y,y < 3), (y-1)^(1/2) <
z], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [1, 1], [2, 2
], [2, 2]]]], [[1, 16, 7, 6, 1], [v < -2^(1/2), u = -v, 1 < x, y = x+1, z < -1
], [regular_chain, [[-3, -3], [3, 3], [2, 2], [3, 3], [-2, -2]]]], [[1, 16, 7,
6, 2], [v < -2^(1/2), u = -v, 1 < x, y = x+1, z = -1], [regular_chain, [[-3, -\
3], [3, 3], [2, 2], [3, 3], [-1, -1]]]], [[1, 16, 7, 6, 3], [v < -2^(1/2), u =
-v, 1 < x, y = x+1, And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [3, 3], [2,
2], [3, 3], [0, 0]]]], [[1, 16, 7, 6, 4], [v < -2^(1/2), u = -v, 1 < x, y = x+
1, z = 1], [regular_chain, [[-3, -3], [3, 3], [2, 2], [3, 3], [1, 1]]]], [[1,
16, 7, 6, 5], [v < -2^(1/2), u = -v, 1 < x, y = x+1, 1 < z], [regular_chain, [
[-3, -3], [3, 3], [2, 2], [3, 3], [2, 2]]]], [[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(0 < y,y < u^2+x-1), z
< -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3]
, [-1/2, -1/2], [15/4, 15/4], [-4, -4]]]], [[2, 1, 5, 7, 2], [v = -2^(1/2), u
< -2, And(-1 < x,x < 0), And(0 < y,y < u^2+x-1), z = -(y-x)^(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, 7, 3], [v = -2
^(1/2), u < -2, And(-1 < x,x < 0), And(0 < y,y < u^2+x-1), And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-3,
-3], [-1/2, -1/2], [15/4, 15/4], [0, 0]]]], [[2, 1, 5, 7, 4], [v = -2^(1/2), u
< -2, And(-1 < x,x < 0), And(0 < y,y < u^2+x-1), z = (y-x)^(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, 7, 5], [v = -2^(
1/2), u < -2, And(-1 < x,x < 0), And(0 < y,y < u^2+x-1), (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1/2, -1/2], [
15/4, 15/4], [4, 4]]]], [[2, 10, 7, 3, 1], [v = -2^(1/2), u = 0, And(0 < x,x <
1), And(x-1 < 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, 5, 1], [v =
-2^(1/2), u = 1, And(-1 < x,x < 0), And(0 < y,y < x+2), z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1/2, -1/2], [3/4
, 3/4], [-3, -3]]]], [[2, 12, 5, 5, 2], [v = -2^(1/2), u = 1, And(-1 < x,x < 0
), And(0 < y,y < x+2), z = -(y-x)^(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, 5, 3], [v = -2^(1/2), u = 1, And(-1 < x,x < 0), And(0
< y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [-1/2, -1/2], [3/4, 3/4], [0, 0]]]],
[[2, 12, 5, 5, 4], [v = -2^(1/2), u = 1, And(-1 < x,x < 0), And(0 < y,y < x+2)
, z = (y-x)^(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,
5, 5], [v = -2^(1/2), u = 1, And(-1 < x,x < 0), And(0 < y,y < x+2), (y-x)^(1/2
) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1/2, -1
/2], [3/4, 3/4], [3, 3]]]], [[2, 16, 8, 5, 1], [v = -2^(1/2), u = 3^(1/2), x =
1, And(1 < y,y < 3), z < -(y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [908093/524288, 1816187/1048576], [1, 1], [2, 2], [-2, -2]]]],
[[2, 16, 8, 5, 2], [v = -2^(1/2), u = 3^(1/2), x = 1, And(1 < y,y < 3), z = -(
y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/
524288, 1816187/1048576], [1, 1], [2, 2], [-1, -1]]]], [[2, 16, 8, 5, 3], [v =
-2^(1/2), u = 3^(1/2), x = 1, And(1 < y,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], [2, 2], [0, 0]]]], [[2, 16, 8, 5, 4], [v = -2^(1/2),
u = 3^(1/2), x = 1, And(1 < y,y < 3), z = (y-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [1, 1], [2
, 2], [1, 1]]]], [[2, 16, 8, 5, 5], [v = -2^(1/2), u = 3^(1/2), x = 1, And(1 <
y,y < 3), (y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288
], [908093/524288, 1816187/1048576], [1, 1], [2, 2], [2, 2]]]], [[2, 18, 6, 1,
1], [v = -2^(1/2), u = 2, x = 0, y < -1, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [2, 2], [0, 0], [-2, -2], [0, 0]]]], [[3, 4, 6, 5, 1
], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = 0, 2 < y, z < -y^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [0, 0], [3, 3], [-3, -3]]]], [[3, 4, 6, 5, 2], [And(-2^(1/2)
< v,v < -1), u = -(v^2+1)^(1/2), x = 0, 2 < y, 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, 5, 3], [And(-2
^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = 0, 2 < y, 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, 5
, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = 0, 2 < y, 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, 5, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = 0, 2 < y, y^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144,
-3287319/2097152], [0, 0], [3, 3], [3, 3]]]], [[3, 6, 6, 1, 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], [-1, -1], [0,
0]]]], [[3, 10, 8, 6, 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, 6, 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, 6
, 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, 6, 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, 6,
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, 7, 1], [And(-2^(1/2) < v,v <
-1), u = -v, 1 < x, x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [4, 4]
, [-3, -3]]]], [[3, 12, 7, 7, 2], [And(-2^(1/2) < v,v < -1), u = -v, 1 < x, x+
1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [1265743/1048576, 1265743/1048576], [2, 2], [4, 4], [-1482911/1048576, -\
741455/524288]]]], [[3, 12, 7, 7, 3], [And(-2^(1/2) < v,v < -1), u = -v, 1 < x
, x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [4, 4]
, [0, 0]]]], [[3, 12, 7, 7, 4], [And(-2^(1/2) < v,v < -1), u = -v, 1 < x, x+1
< y, z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1265743/1048576, 1265743/1048576], [2, 2], [4, 4], [741455/524288, 1482911/
1048576]]]], [[3, 12, 7, 7, 5], [And(-2^(1/2) < v,v < -1), u = -v, 1 < x, x+1
< y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1265743/1048576, 1265743/1048576], [2, 2], [4, 4], [3, 3]]]], [[3, 14, 6, 4,
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, 4, 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, 4, 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, 4, 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, 4, 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, 16, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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], [-\
799673/524288, -3198691/2097152], [-3, -3]]]], [[4, 3, 1, 6, 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], [-799673/524288, -3198691
/2097152], [-1649549/1048576, -3299097/2097152]]]], [[4, 3, 1, 6, 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], [-\
799673/524288, -3198691/2097152], [-1/4194304, -1/4194304]]]], [[4, 3, 1, 6, 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], [-\
799673/524288, -3198691/2097152], [412387/262144, 1649549/1048576]]]], [[4, 3,
1, 6, 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],
[-799673/524288, -3198691/2097152], [3, 3]]]], [[4, 4, 9, 7, 1], [v = -1, u =
-2^(1/2), 1 < x, x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [2, 2], [5, 5], [-3, -3]]]], [[4, 4, 9, 7, 2
], [v = -1, u = -2^(1/2), 1 < x, x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [
[-1, -1], [-1482911/1048576, -741455/524288], [2, 2], [5, 5], [-1816187/
1048576, -3632373/2097152]]]], [[4, 4, 9, 7, 3], [v = -1, u = -2^(1/2), 1 < x,
x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]],
[[4, 4, 9, 7, 4], [v = -1, u = -2^(1/2), 1 < x, x+2 < y, z = (y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [2, 2], [5, 5],
[908093/524288, 1816187/1048576]]]], [[4, 4, 9, 7, 5], [v = -1, u = -2^(1/2),
1 < x, x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1482911/1048576
, -741455/524288], [2, 2], [5, 5], [3, 3]]]], [[4, 10, 6, 7, 1], [v = -1, u =
1, x = 1, 2 < y, z < -(y-1)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [1, 1],
[3, 3], [-3, -3]]]], [[4, 10, 6, 7, 2], [v = -1, u = 1, x = 1, 2 < y, z = -(y-\
1)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [1, 1], [3, 3], [-1482911/
1048576, -741455/524288]]]], [[4, 10, 6, 7, 3], [v = -1, u = 1, x = 1, 2 < y,
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, 7, 4], [v = -1, u = 1, x = 1, 2 < y, z = (y
-1)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [1, 1], [3, 3], [741455/524288,
1482911/1048576]]]], [[4, 10, 6, 7, 5], [v = -1, u = 1, x = 1, 2 < y, (y-1)^(1
/2) < z], [regular_chain, [[-1, -1], [1, 1], [1, 1], [3, 3], [3, 3]]]], [[4, 
12, 8, 1, 1], [v = -1, u = 2^(1/2), x = 1, y < 0, z = z], [regular_chain, [[-1
, -1], [741455/524288, 1482911/1048576], [1, 1], [-1, -1], [0, 0]]]], [[5, 1,
5, 3, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(x-u^2
+v^2+1 < y,y < x), z = z], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1/2, -1/
2], [-35/8, -35/8], [0, 0]]]], [[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 = 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, 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
= 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, 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 = 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, 6, 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, 6, 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, 5, 1], [And(
-1 < v,v < 0), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(0 < y,y < 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, 8, 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, 8
, 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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 4, 7, 1], [v = 0, And(0 < u,u < 1), x = -1, And(0 < y,y < u^2), z < -(y+1
)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-1, -1], [1/8, 1/8], [-3, -3]]
]], [[6, 7, 4, 7, 2], [v = 0, And(0 < u,u < 1), x = -1, And(0 < y,y < u^2), z
= -(y+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-1, -1], [1/8, 1/8], [-\
1112183/1048576, -556091/524288]]]], [[6, 7, 4, 7, 3], [v = 0, And(0 < u,u < 1
), x = -1, And(0 < y,y < u^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[0, 0], [1/2, 1/2], [-1, -1], [1/8, 1/8], [0, 0]]]], [[6, 7, 4
, 7, 4], [v = 0, And(0 < u,u < 1), x = -1, And(0 < y,y < u^2), z = (y+1)^(1/2)
], [regular_chain, [[0, 0], [1/2, 1/2], [-1, -1], [1/8, 1/8], [556091/524288,
1112183/1048576]]]], [[6, 7, 4, 7, 5], [v = 0, And(0 < u,u < 1), x = -1, And(0
< y,y < u^2), (y+1)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [-1, -1],
[1/8, 1/8], [3, 3]]]], [[7, 1, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 = x-u^2+v^2+
1, z = z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-\
1815885/1048576, -1815885/1048576], [-287741/131072, -2301927/1048576], [0, 0]
]]], [[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(u^2-v^2+x+1 < y,y < 0), z < -(y-x)^(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(u^2-v^2+
x+1 < y,y < 0), z = -(y-x)^(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(u^2-
v^2+x+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(u^2-v^2+x+1 < y,y < 0), z = (y-x)^(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(u^2-v^2+x+1 < y,y < 0), (y-x)^(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 = z], [regular_chain, [[1/2, 1/2], [
343151/262144, 343151/262144], [-1, -1], [-1534619/1048576, -767309/524288], [
0, 0]]]], [[7, 13, 1, 1, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x < -u^2+v^
2-1, y < x-u^2+v^2+1, z = z], [regular_chain, [[1/2, 1/2], [3, 3], [-11, -11],
[-20, -20], [0, 0]]]], [[8, 3, 7, 3, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)
), And(0 < x,x < u^2-2), And(x-u^2+2 < 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, 5, 9, 1], [v = 1, And(-2^
(1/2) < u,u < -1), And(-1 < x,x < u^2-2), u^2+x < y, z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3235683/
4194304, -3235683/4194304], [2, 2], [-3, -3]]]], [[8, 5, 5, 9, 2], [v = 1, And
(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), u^2+x < y, z = -(y-x)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3235683/
4194304, -3235683/4194304], [2, 2], [-3491269/2097152, -872817/524288]]]], [[8
, 5, 5, 9, 3], [v = 1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), u^2+x
< y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304], [2,
2], [0, 0]]]], [[8, 5, 5, 9, 4], [v = 1, And(-2^(1/2) < u,u < -1), And(-1 < x,
x < u^2-2), u^2+x < y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304], [2, 2], [
872817/524288, 1745635/1048576]]]], [[8, 5, 5, 9, 5], [v = 1, And(-2^(1/2) < u
,u < -1), And(-1 < x,x < u^2-2), u^2+x < y, (y-x)^(1/2) < z], [regular_chain,
[[1, 1], [-1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/
4194304], [2, 2], [3, 3]]]], [[8, 11, 5, 8, 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], [718965/
1048576, 359483/524288], [-3, -3]]]], [[8, 11, 5, 8, 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], [
718965/1048576, 359483/524288], [-1265743/1048576, -1265743/1048576]]]], [[8,
11, 5, 8, 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], [718965/1048576, 359483/524288
], [0, 0]]]], [[8, 11, 5, 8, 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], [718965/1048576, 
359483/524288], [1265743/1048576, 1265743/1048576]]]], [[8, 11, 5, 8, 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], [718965/1048576, 359483/524288], [3, 3]]]], [[8, 13, 4, 7,
1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, And(0 < y,y < u^2-1), z < -(
y+1)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1,
-1], [1546381/2097152, 1546381/2097152], [-3, -3]]]], [[8, 13, 4, 7, 2], [v =
1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, And(0 < y,y < u^2-1), z = -(y+1)^(1/2
)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1, -1], [
1546381/2097152, 1546381/2097152], [-691061/524288, -1382121/1048576]]]], [[8,
13, 4, 7, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, And(0 < y,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], [1546381/2097152, 1546381/2097152], [0, 0
]]]], [[8, 13, 4, 7, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, And(0 <
y,y < u^2-1), z = (y+1)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [-1, -1], [1546381/2097152, 1546381/2097152], [1382121/
1048576, 691061/524288]]]], [[8, 13, 4, 7, 5], [v = 1, And(2^(1/2) < u,u < 3^(
1/2)), x = -1, And(0 < y,y < u^2-1), (y+1)^(1/2) < z], [regular_chain, [[1, 1]
, [3299097/2097152, 3299097/2097152], [-1, -1], [1546381/2097152, 1546381/
2097152], [3, 3]]]], [[9, 1, 10, 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 < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [6860721/1048576
, 3430361/524288], [17, 17], [-5, -5]]]], [[9, 1, 10, 7, 2], [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 = -(y-u^2+v^2+1)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [
6860721/1048576, 3430361/524288], [17, 17], [-847707/262144, -3390827/1048576]
]]], [[9, 1, 10, 7, 3], [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, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [6860721/
1048576, 3430361/524288], [17, 17], [0, 0]]]], [[9, 1, 10, 7, 4], [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 = (y-u^2+v^2
+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [
6860721/1048576, 3430361/524288], [17, 17], [3390827/1048576, 847707/262144]]]
], [[9, 1, 10, 7, 5], [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, (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [6860721/1048576, 3430361/524288], [17, 
17], [5, 5]]]], [[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 < -(u^2-
v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233
/8388608, -14373233/8388608], [501965/2097152, 501965/2097152], [712525/262144
, 2850101/1048576], [-3, -3]]]], [[9, 3, 7, 8, 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], [712525/262144, 2850101/1048576], [-3301741/2097152, -825435/524288]
]]], [[9, 3, 7, 8, 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], [712525/262144, 2850101/1048576], [0, 0]]]], [[9, 3, 7, 8, 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], [712525/262144, 2850101/1048576], [825435/524288, 
1650871/1048576]]]], [[9, 3, 7, 8, 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], [
712525/262144, 2850101/1048576], [3, 3]]]], [[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 = u^2-v^2-1, z < 0],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701
/1048576], [-1116681/2097152, -139585/262144], [-1116681/2097152, -139585/
262144], [-1, -1]]]], [[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 = u^2-v^2-1, z = 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
1116681/2097152, -139585/262144], [-1116681/2097152, -139585/262144], [0, 0]]]
], [[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 = u^2-v^2-1, 0 < z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [1454701/1048576, 1454701/1048576], [-1116681/2097152, -139585/
262144], [-1116681/2097152, -139585/262144], [1, 1]]]], [[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 < x-u^2+v^2+1, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [-2, -2], [0, 0]]]], [
[10, 1, 11, 3, 1], [v = 2^(1/2), u < -2, u^2-3 < x, And(0 < y,y < x-u^2+3), z
= z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [7, 7], [1/
2, 1/2], [0, 0]]]], [[10, 3, 8, 2, 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, 9, 6, 3, 1], [v = 2^(1/2), And(-1 < u,u < 0), x = 0, And(u^2-\
1 < y,y < 0), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2
, -1/2], [0, 0], [-3/8, -3/8], [0, 0]]]], [[10, 11, 3, 4, 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, 4, 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, 4, 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, 9, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-1
< x,x < u^2-3), u^2+x-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-3198693/
4194304, -3198693/4194304], [2, 2], [-3, -3]]]], [[10, 15, 5, 9, 2], [v = 2^(1
/2), And(v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), u^2+x-1 < y, z = -(y-x)^(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, 9, 3], [v = 2^(1/2), And(v < u,u < 3
^(1/2)), And(-1 < x,x < u^2-3), u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1
/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-3198693/4194304, -3198693/4194304], [2, 2], [0, 0]]]], [[
10, 15, 5, 9, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3),
u^2+x-1 < y, z = (y-x)^(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, 9, 5], [v
= 2^(1/2), And(v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), u^2+x-1 < y, (y-x)^(
1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152
, 3299097/2097152], [-3198693/4194304, -3198693/4194304], [2, 2], [3, 3]]]], [
[10, 17, 4, 8, 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], [1554043/1048576, 388511/262144], [-3, -\
3]]]], [[10, 17, 4, 8, 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], [1554043/1048576, 388511/262144]
, [-825991/524288, -3303963/2097152]]]], [[10, 17, 4, 8, 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], [1554043/1048576, 388511/262144], [-1/4194304, -1/
4194304]]]], [[10, 17, 4, 8, 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], [1554043/1048576, 
388511/262144], [1651981/1048576, 825991/524288]]]], [[10, 17, 4, 8, 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], [1554043/1048576, 388511/262144], [3, 3]]]], [[10, 18, 9,
8, 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, 8, 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, 8, 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, 8,
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, 8, 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, 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 < -y^(1/2)], [regular_chain, [[3, 3], [-5, -5],
[0, 0], [17/2, 17/2], [-4, -4]]]], [[11, 1, 6, 5, 2], [2^(1/2) < v, u < -(v^2+
2)^(1/2), x = 0, And(0 < y,y < u^2-v^2+1), z = -y^(1/2)], [regular_chain, [[3,
3], [-5, -5], [0, 0], [17/2, 17/2], [-24456785/8388608, -1528549/524288]]]], [
[11, 1, 6, 5, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 0, And(0 < y,y < u^2-v
^2+1), 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, 5, 4], [2^(1/2) < v, u < -(v^2+2)^(1/
2), x = 0, And(0 < y,y < u^2-v^2+1), z = y^(1/2)], [regular_chain, [[3, 3], [-\
5, -5], [0, 0], [17/2, 17/2], [1528549/524288, 3057099/1048576]]]], [[11, 1, 6
, 5, 5], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 0, And(0 < y,y < u^2-v^2+1), y^
(1/2) < z], [regular_chain, [[3, 3], [-5, -5], [0, 0], [17/2, 17/2], [4, 4]]]]
, [[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), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [
-403851/131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [2, 2],
[-3, -3]]]], [[11, 5, 5, 9, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
And(-1 < x,x < u^2-v^2-1), u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain,
[[3, 3], [-403851/131072, -403851/131072], [-1579769/2097152, -1579769/2097152
], [2, 2], [-3479815/2097152, -1739907/1048576]]]], [[11, 5, 5, 9, 3], [2^(1/2
) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), u^2-v^2+x+1
< y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-403851
/131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [2, 2], [0, 0]
]]], [[11, 5, 5, 9, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-1 <
x,x < u^2-v^2-1), u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3],
[-403851/131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [2, 2]
, [1739907/1048576, 434977/262144]]]], [[11, 5, 5, 9, 5], [2^(1/2) < v, And(-(
v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), u^2-v^2+x+1 < y, (y-x)^(1
/2) < z], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1579769
/2097152, -1579769/2097152], [2, 2], [3, 3]]]], [[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), x+3 < y, z < -(y-x)^(1/2)],
[regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [1/2, 1/2], [5, 5], [-\
4, -4]]]], [[11, 12, 7, 9, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), And(0 < x,x <
1), x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 
10837/4096], [1/2, 1/2], [5, 5], [-1112183/524288, -2224365/1048576]]]], [[11,
12, 7, 9, 3], [2^(1/2) < v, u = (v^2-2)^(1/2), And(0 < x,x < 1), x+3 < y, And(
-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [2774271/1048576,
10837/4096], [1/2, 1/2], [5, 5], [0, 0]]]], [[11, 12, 7, 9, 4], [2^(1/2) < v,
u = (v^2-2)^(1/2), And(0 < x,x < 1), x+3 < y, z = (y-x)^(1/2)], [regular_chain
, [[3, 3], [2774271/1048576, 10837/4096], [1/2, 1/2], [5, 5], [2224365/1048576
, 1112183/524288]]]], [[11, 12, 7, 9, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), And
(0 < x,x < 1), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [1/2, 1/2], [5, 5], [4, 4]]]], [[11, 14, 5, 7, 1], [2^(1
/2) < v, u = (v^2-1)^(1/2), And(-1 < x,x < 0), x+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [3, 3]
, [-3, -3]]]], [[11, 14, 5, 7, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-1 < x
,x < 0), x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [741455/262144,
2965821/1048576], [-1/2, -1/2], [3, 3], [-7846825/4194304, -980853/524288]]]],
[[11, 14, 5, 7, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-1 < x,x < 0), x+2 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [-1/2, -1/2], [3, 3], [0, 0]]]], [[11, 14, 5, 7, 4],
[2^(1/2) < v, u = (v^2-1)^(1/2), And(-1 < x,x < 0), x+2 < y, z = (y-x)^(1/2)],
[regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [3, 3
], [980853/524288, 1961707/1048576]]]], [[11, 14, 5, 7, 5], [2^(1/2) < v, u =
(v^2-1)^(1/2), And(-1 < x,x < 0), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [
[3, 3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [3, 3], [3, 3]]]], [[
11, 18, 9, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1],
[2^(1/2) < v, u = (v^2+2)^(1/2), x = 0, And(0 < y,y < 3), z < -y^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [0, 0], [3/2, 3/2],
[-3, -3]]]], [[11, 20, 6, 5, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 0, And(0
< y,y < 3), 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, 5, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 4], [2^(1/2) < v, u =
(v^2+2)^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 5], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 0, And(
0 < y,y < 3), y^(1/2) < z], [regular_chain, [[3, 3], [3477733/1048576, 1738867
/524288], [0, 0], [3/2, 3/2], [3, 3]]]], [[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 = x-u^2+v^2+1, z < -(-
u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072]
, [-1579769/2097152, -1579769/2097152], [-64673/262144, -258691/1048576], [-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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain,
[[-3, -3], [-403851/131072, -403851/131072], [-1579769/2097152, -1579769/
2097152], [-64673/262144, -258691/1048576], [-373161/524288, -1492643/2097152]
]]], [[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 = x-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], [-\
1579769/2097152, -1579769/2097152], [-64673/262144, -258691/1048576], [-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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)],
[regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1579769/2097152
, -1579769/2097152], [-64673/262144, -258691/1048576], [746321/1048576, 373161
/524288]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1579769/2097152,
-1579769/2097152], [-64673/262144, -258691/1048576], [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-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288], [399003/
524288, 798007/1048576], [-3, -3]]]], [[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-u^2+v^2+1, z = -(-u^2
+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152
], [-391287/524288, -391287/524288], [399003/524288, 798007/1048576], [-\
1287385/1048576, -160923/131072]]]], [[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-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], [-391287/524288, -391287/524288], [399003/
524288, 798007/1048576], [0, 0]]]], [[1, 7, 5, 8, 4], [v < -2^(1/2), And(v < u
,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = x-u^2+v^2+1, z = (-u^2+v
^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152],
[-391287/524288, -391287/524288], [399003/524288, 798007/1048576], [160923/
131072, 1287385/1048576]]]], [[1, 7, 5, 8, 5], [v < -2^(1/2), And(v < u,u < -(
v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2)
< z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-\
391287/524288, -391287/524288], [399003/524288, 798007/1048576], [3, 3]]]], [[
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 < x), z = z], [regular_chain, [[-3, -3],
[0, 0], [-1/2, -1/2], [-9/2, -9/2], [0, 0]]]], [[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 = 2*u^2-2*v^2, z
= z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-5260377/
2097152, -657547/262144], [-3163225/1048576, -395403/131072], [0, 0]]]], [[1,
18, 9, 1, 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], [-1, -1], [
0, 0]]]], [[1, 20, 5, 9, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-1 < x,x <
0), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 
1738867/524288], [-1/2, -1/2], [4, 4], [-4, -4]]]], [[1, 20, 5, 9, 2], [v < -2
^(1/2), u = (v^2+2)^(1/2), And(-1 < x,x < 0), x+3 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1/2, -1/2], [4,
4], [-1112183/524288, -2224365/1048576]]]], [[1, 20, 5, 9, 3], [v < -2^(1/2),
u = (v^2+2)^(1/2), And(-1 < x,x < 0), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^
(1/2))], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1/2,
-1/2], [4, 4], [0, 0]]]], [[1, 20, 5, 9, 4], [v < -2^(1/2), u = (v^2+2)^(1/2),
And(-1 < x,x < 0), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [-1/2, -1/2], [4, 4], [2224365/1048576, 
1112183/524288]]]], [[1, 20, 5, 9, 5], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-\
1 < x,x < 0), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [-1/2, -1/2], [4, 4], [4, 4]]]], [[2, 3, 3, 6, 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, 6, 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, 6,
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, 6, 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, 6, 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, 3, 1], [v = -2^(1/2)
, And(-3^(1/2) < u,u < v), x = -u^2+1, And(-u^2+1 < 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], [-40671917/
33554432, -40671917/33554432], [-2, -2]]]], [[2, 5, 2, 3, 2], [v = -2^(1/2), 
And(-3^(1/2) < u,u < v), x = -u^2+1, And(-u^2+1 < 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], [-40671917/
33554432, -40671917/33554432], [-268683/524288, -1074731/2097152]]]], [[2, 5,
2, 3, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -u^2+1, And(-u^2+1 < 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], [-40671917/33554432, -40671917/33554432], [-\
1/4194304, -1/4194304]]]], [[2, 5, 2, 3, 4], [v = -2^(1/2), And(-3^(1/2) < u,u
< v), x = -u^2+1, And(-u^2+1 < 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], [-40671917/33554432, -\
40671917/33554432], [537365/1048576, 268683/524288]]]], [[2, 5, 2, 3, 5], [v =
-2^(1/2), And(-3^(1/2) < u,u < v), x = -u^2+1, And(-u^2+1 < 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], [-\
40671917/33554432, -40671917/33554432], [2, 2]]]], [[2, 7, 1, 7, 1], [v = -2^(
1/2), And(v < u,u < -1), x < u^2-3, And(x-u^2+3 < y,y < 0), z < -(y-x)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-3, -3], [-763943/1048576, -763943/1048576], [-3, -3]]]], [
[2, 7, 1, 7, 2], [v = -2^(1/2), And(v < u,u < -1), x < u^2-3, And(x-u^2+3 < y,
y < 0), z = -(y-x)^(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, 7, 3], [v = -2^(
1/2), And(v < u,u < -1), x < u^2-3, And(x-u^2+3 < y,y < 0), And(-(y-x)^(1/2) <
z,z < (y-x)^(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, 7, 4], [v = -2^(1/2), And(v
< u,u < -1), x < u^2-3, And(x-u^2+3 < y,y < 0), z = (y-x)^(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, 7, 5], [v = -2^(1/2), And(v < u,u < -1), x <
u^2-3, And(x-u^2+3 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-3, -3], [-\
763943/1048576, -763943/1048576], [3, 3]]]], [[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 = 3, z < -2^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [1, 1], [3, 3], [-3, -3]]]], [[2, 12, 8, 6, 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, 6, 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, 6, 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, 6, 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, 7, 3, 1]
, [v = -2^(1/2), u = -v, 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [2, 2], [1
, 1], [0, 0]]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [-10, -10], [0, 0], [-5, -5]]]], [[3, 1,
1, 8, 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, 8,
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, 8, 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, 8, 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, 7, 7, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/
2), And(0 < x,x < 1), And(x < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [1
/2, 1/2], [2, 2], [-3, -3]]]], [[3, 2, 7, 7, 2], [And(-2^(1/2) < v,v < -1), u
= -(v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), z = -(y-x)^(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, 7, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(0 < x,x <
1), And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304],
[1/2, 1/2], [2, 2], [0, 0]]]], [[3, 2, 7, 7, 4], [And(-2^(1/2) < v,v < -1), u
= -(v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), z = (y-x)^(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, 7, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(0 < x,x < 1)
, And(x < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3899297/2097152, -7798593/4194304], [1/2, 1/2], [2, 2], [3
, 3]]]], [[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(x-u^2+v^2+1 < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3, -3], [-749473/1048576, -749473/1048576], [-3, -3]]]], [
[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(x-u^2+v^2+1 < y,y < 0), z = -(y-x)^(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, 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(x-u^2+v^2+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(x-u^2+v^2+1 < y,y < 0), z = (y-x)^(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, 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(x-u^2+v^2+1 < y,y < 0), (y-x)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304
, -3949363/4194304], [-3, -3], [-749473/1048576, -749473/1048576], [3, 3]]]],
[[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(-2*u^2+2 < y,y < -u^
2), z = z], [regular_chain, [[-1, -1], [-3, -3], [-9, -9], [-25/2, -25/2], [0,
0]]]], [[4, 2, 8, 2, 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, 7, 1, 9, 1], [v = -1, And(-1 < u,u < 0), x < u^2-2, 0 < y, z
< -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3], [1, 1], [-\
3, -3]]]], [[4, 7, 1, 9, 2], [v = -1, And(-1 < u,u < 0), x < u^2-2, 0 < y, z =
-(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3], [1, 1], [-2,
-2]]]], [[4, 7, 1, 9, 3], [v = -1, And(-1 < u,u < 0), x < u^2-2, 0 < y, And(-(
y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [-3
, -3], [1, 1], [0, 0]]]], [[4, 7, 1, 9, 4], [v = -1, And(-1 < u,u < 0), x < u^
2-2, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3
], [1, 1], [2, 2]]]], [[4, 7, 1, 9, 5], [v = -1, And(-1 < u,u < 0), x < u^2-2,
0 < y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3], [1
, 1], [3, 3]]]], [[4, 8, 9, 6, 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,
6, 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, 6
, 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, 6, 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, 6, 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, 9, 1], [v = -1, u = 3^(1/2), And(-1 < x,x
< 0), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 
1816187/1048576], [-1/2, -1/2], [4, 4], [-4, -4]]]], [[4, 14, 5, 9, 2], [v = -\
1, u = 3^(1/2), And(-1 < x,x < 0), x+3 < y, z = -(y-x)^(1/2)], [regular_chain,
[[-1, -1], [908093/524288, 1816187/1048576], [-1/2, -1/2], [4, 4], [-1112183/
524288, -2224365/1048576]]]], [[4, 14, 5, 9, 3], [v = -1, u = 3^(1/2), And(-1
< x,x < 0), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [
[-1, -1], [908093/524288, 1816187/1048576], [-1/2, -1/2], [4, 4], [0, 0]]]], [
[4, 14, 5, 9, 4], [v = -1, u = 3^(1/2), And(-1 < x,x < 0), x+3 < y, z = (y-x)^
(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1/2, -1
/2], [4, 4], [2224365/1048576, 1112183/524288]]]], [[4, 14, 5, 9, 5], [v = -1,
u = 3^(1/2), And(-1 < x,x < 0), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-\
1, -1], [908093/524288, 1816187/1048576], [-1/2, -1/2], [4, 4], [4, 4]]]], [[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 < x-u^2+v^2+1, z = z], [regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8,
-43/8], [-15, -15], [0, 0]]]], [[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 < -u^2+v^2-1, z = z], [regular_chain,
[[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-736367/524288, -1472733
/1048576], [-3, -3], [0, 0]]]], [[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 < 0), z < -(y-u^2+v^2+1)^(1/2)
], [regular_chain, [[-1/2, -1/2], [0, 0], [-5/4, -5/4], [-1/4, -1/4], [-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 < 0), z = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2,
-1/2], [0, 0], [-5/4, -5/4], [-1/4, -1/4], [-1, -1]]]], [[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 < 0),
And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[-1/2
, -1/2], [0, 0], [-5/4, -5/4], [-1/4, -1/4], [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 < 0),
z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-5/4, -5/4],
[-1/4, -1/4], [1, 1]]]], [[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 < 0), (y-u^2+v^2+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, 2, 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], [-736367/524288, -\
1472733/1048576], [-1, -1]]]], [[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 = -u^2+v^2-1, z = 0], [regular_chain,
[[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-736367/524288, -1472733/
1048576], [-736367/524288, -1472733/1048576], [0, 0]]]], [[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 = -u^2+v^2
-1, 0 < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152],
[-736367/524288, -1472733/1048576], [-736367/524288, -1472733/1048576], [1, 1]
]]], [[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 < x-u^2+v^2+1, z = z], [regular_chain, [[-1/2, -1/2]
, [343151/262144, 343151/262144], [-4, -4], [-6, -6], [0, 0]]]], [[6, 1, 7, 3,
1], [v = 0, u < -2^(1/2), And(0 < x,x < 1), And(x-u^2+1 < y,y < 0), z = z], [
regular_chain, [[0, 0], [-3, -3], [1/2, 1/2], [-15/4, -15/4], [0, 0]]]], [[6,
3, 4, 2, 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], [-\
1527887/1048576, -763943/524288], [0, 0]]]], [[6, 9, 2, 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 = z], [regular_chain
, [[0, 0], [1265743/1048576, 1265743/1048576], [-2576463/1048576, -1288231/
524288], [-45057891/16777216, -45057891/16777216], [0, 0]]]], [[6, 10, 8, 2, 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, 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 =
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, 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 = 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, 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 = 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, 3, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x =
-1, And(-1 < y,y < -u^2+v^2), z < -(y+1)^(1/2)], [regular_chain, [[1/2, 1/2],
[-1696631/2097152, -1696631/2097152], [-1, -1], [-736367/1048576, -736367/
1048576], [-2, -2]]]], [[7, 5, 4, 3, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2)
< u,u < -v), x = -1, And(-1 < y,y < -u^2+v^2), z = -(y+1)^(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, 3, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, And(-1
< y,y < -u^2+v^2), And(-(y+1)^(1/2) < z,z < (y+1)^(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, 3, 4], [And(0 < v,v <
1), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, And(-1 < y,y < -u^2+v^2), z = (y+1
)^(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, 3, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -1
, And(-1 < y,y < -u^2+v^2), (y+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-1, -1], [-736367/1048576, -736367/
1048576], [2, 2]]]], [[8, 1, 7, 5, 1], [v = 1, u < -3^(1/2), And(0 < x,x < 1),
And(0 < y,y < x), 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 < u], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [-1, -1], [773191/524288, 1546383/1048576], [-3, -3]]]], [[8, 3, 4,
8, 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], [
773191/524288, 1546383/1048576], [-1649549/1048576, -3299097/2097152]]]], [[8,
3, 4, 8, 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], [773191/524288, 1546383/1048576], [-1/4194304, -1/4194304]]]], [[8, 3
, 4, 8, 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], [
773191/524288, 1546383/1048576], [412387/262144, 1649549/1048576]]]], [[8, 3,
4, 8, 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], [
773191/524288, 1546383/1048576], [3, 3]]]], [[8, 7, 7, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 5, 1], [v = 1, And(0 < u,u < 1), x = -u^2, And(0 < y,y < -2*u^
2+2), 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, 5, 2], [v = 1, And(0 < u,u < 1), x = -u^2,
And(0 < y,y < -2*u^2+2), 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, 5, 3], [v = 1, And(0 <
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], [1/2, 1/2], [-1/4, -1/4], [3/4, 3/4], [0,
0]]]], [[8, 9, 6, 5, 4], [v = 1, And(0 < u,u < 1), x = -u^2, And(0 < y,y < -2*
u^2+2), 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, 5, 5], [v = 1, And(0 < u,u < 1), x = -u^2, 
And(0 < y,y < -2*u^2+2), (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, 2, 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, 5, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)
^(1/2), x = 1, And(0 < y,y < 1), 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(0 < y,y < x-u^2+v^2+1), z < -(y-x)^(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(0 < y,y < x-u^2+v^2+1), z = -(y-x)^(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(0
< y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(0 < y,y < x-u^2+v^2+1), z
= (y-x)^(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(0 < y,y < x-u^2+v^2+1), (y-x)^(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], [225185/524288
, 450371/1048576], [-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], [225185/524288, 450371/1048576], [-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], [225185/524288, 450371/1048576], [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], [225185/524288
, 450371/1048576], [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], [225185/524288, 450371/1048576], [
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 = 0, z < -(-x)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [0, 0], [-1/2, -1/2], [0, 0], [-2, -2]]]]
, [[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 = 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, 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 = 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, 6, 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, 6, 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, 11, 4, 9, 1], [And(1 < v,v < 2^(1
/2)), And((v^2-1)^(1/2) < u,u < v), x = -1, -u^2+v^2 < y, z < -(y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [2, 2], [-3, -3]]]], [[9, 11, 4, 9, 2], [And(1 < v,v < 2^(
1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1, -u^2+v^2 < y, z = -(y+1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [2, 2], [-1816187/1048576, -3632373/2097152]]]], [[9, 11,
4, 9, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1, -u^2+
v^2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1], [2, 2],
[-1/4194304, -1/4194304]]]], [[9, 11, 4, 9, 4], [And(1 < v,v < 2^(1/2)), And((
v^2-1)^(1/2) < u,u < v), x = -1, -u^2+v^2 < y, z = (y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [2, 2], [908093/524288, 1816187/1048576]]]], [[9, 11, 4, 9
, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1, -u^2+v^2
< y, (y+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-1, -1], [2, 2], [3, 3]]]], [[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(0 < y,y < x), 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 < -(u^2-v^2+1)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1, -1],
[7909297/1048576, 3954649/524288], [-4, -4]]]], [[9, 17, 4, 8, 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], [
7909297/1048576, 3954649/524288], [-1532401/524288, -24518415/8388608]]]], [[9
, 17, 4, 8, 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], [7909297/1048576, 3954649
/524288], [-7/16777216, -7/16777216]]]], [[9, 17, 4, 8, 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], [7909297
/1048576, 3954649/524288], [3064801/1048576, 1532401/524288]]]], [[9, 17, 4, 8
, 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], [7909297/1048576, 3954649/524288], [4, 4]]]], [[10, 5, 5, 7, 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-1), z < -(y-x)^(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, 7, 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-1), z = -
(y-x)^(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, 7
, 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-1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 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-1), z = (y-x)^(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, 7, 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-1), (y-x)^(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, 6, 6, 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], [569265
/524288, 1138531/1048576], [-3, -3]]]], [[10, 7, 6, 6, 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], [569265/524288, 1138531/1048576], [-1302471/
1048576, -651235/524288]]]], [[10, 7, 6, 6, 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], [569265/524288, 1138531/1048576],
[0, 0]]]], [[10, 7, 6, 6, 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], [569265/524288, 1138531/1048576], [651235/524288, 1302471/1048576]]]]
, [[10, 7, 6, 6, 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], [569265
/524288, 1138531/1048576], [3, 3]]]], [[10, 11, 5, 6, 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, 6, 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
, 6, 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, 6, 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, 6, 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, 9,
1], [v = 2^(1/2), And(1 < u,u < v), x = -1, -u^2+2 < y, z < -(y+1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-1, -1], [2, 2], [-3, -3]]]], [[10, 13, 4, 9, 2], [v = 2^(1/2), And
(1 < u,u < v), x = -1, -u^2+2 < y, z = -(y+1)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [2, 2
], [-1816187/1048576, -3632373/2097152]]]], [[10, 13, 4, 9, 3], [v = 2^(1/2),
And(1 < u,u < v), x = -1, -u^2+2 < y, 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], [-1/4194304, -1/4194304]]]], [[10, 13, 4, 9, 4], [
v = 2^(1/2), And(1 < u,u < v), x = -1, -u^2+2 < y, z = (y+1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-1, -1], [2, 2], [908093/524288, 1816187/1048576]]]], [[10, 13, 4,
9, 5], [v = 2^(1/2), And(1 < u,u < v), x = -1, -u^2+2 < y, (y+1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-1, -1], [2, 2], [3, 3]]]], [[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 = -1, z < 0], [regular_chain,
[[3, 3], [-3396811/1048576, -3396811/1048576], [-1, -1], [-1, -1], [-1, -1]]]]
, [[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 = -1, z = 0], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [-1, -1], [-1, -1], [0, 0]]]], [[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 = -1, 0 < z], [regular_chain
, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1, -1], [-1, -1], [1, 1]]]]
, [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain
, [[3, 3], [-403851/131072, -403851/131072], [-2614535/2097152, -2614535/
2097152], [258691/2097152, 258691/2097152], [-3, -3]]]], [[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(0
< y,y < u^2-v^2+x+1), z = -(y-x)^(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, 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(0
< y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[3, 3], [-403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152
], [258691/2097152, 258691/2097152], [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(0 < y,y < u
^2-v^2+x+1), z = (y-x)^(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, 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(0 < y,y < u^
2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [-2614535/2097152, -2614535/2097152], [258691/2097152, 258691/
2097152], [3, 3]]]], [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)
], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/
2], [2105899/1048576, 526475/262144], [-3, -3]]]], [[11, 9, 5, 8, 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-u^2+
v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608,
-22960369/8388608], [-1/2, -1/2], [2105899/1048576, 526475/262144], [-3321417/
2097152, -415177/262144]]]], [[11, 9, 5, 8, 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-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], [-1/2, -1/2], [2105899/1048576, 526475/262144], [
0, 0]]]], [[11, 9, 5, 8, 4], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)
^(1/2)), And(-1 < x,x < 0), y = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2],
[2105899/1048576, 526475/262144], [415177/262144, 1660709/1048576]]]], [[11, 9
, 5, 8, 5], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 <
x,x < 0), y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [
-22960369/8388608, -22960369/8388608], [-1/2, -1/2], [2105899/1048576, 526475/
262144], [3, 3]]]], [[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 = x, z < 0], [regular_chain, [[
3, 3], [0, 0], [-11/2, -11/2], [-11/2, -11/2], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[3, 3], [0, 0], [-11/2, -11/2], [-11/2,
-11/2], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[
3, 3], [0, 0], [-11/2, -11/2], [-11/2, -11/2], [1, 1]]]], [[11, 16, 5, 6, 1],
[2^(1/2) < v, u = v, And(0 < x,x < 1), y = x+1, z < -1], [regular_chain, [[3,
3], [3, 3], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[11, 16, 5, 6, 2], [2^(1/2)
< v, u = v, And(0 < x,x < 1), y = x+1, z = -1], [regular_chain, [[3, 3], [3, 3
], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]], [[11, 16, 5, 6, 3], [2^(1/2) < v, u =
v, And(0 < x,x < 1), y = x+1, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [3,
3], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[11, 16, 5, 6, 4], [2^(1/2) < v, u = v
, And(0 < x,x < 1), y = x+1, z = 1], [regular_chain, [[3, 3], [3, 3], [1/2, 1/
2], [3/2, 3/2], [1, 1]]]], [[11, 16, 5, 6, 5], [2^(1/2) < v, u = v, And(0 < x,
x < 1), y = x+1, 1 < z], [regular_chain, [[3, 3], [3, 3], [1/2, 1/2], [3/2, 3/
2], [2, 2]]]], [[11, 18, 6, 5, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), x = 0, 2 <
y, z < -y^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [0
, 0], [3, 3], [-3, -3]]]], [[11, 18, 6, 5, 2], [2^(1/2) < v, u = (v^2+1)^(1/2)
, x = 0, 2 < y, z = -y^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889
/1048576], [0, 0], [3, 3], [-1816187/1048576, -3632373/2097152]]]], [[11, 18,
6, 5, 3], [2^(1/2) < v, u = (v^2+1)^(1/2), x = 0, 2 < y, 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, 5, 4], [2^(1/2) < v, u = (v^2
+1)^(1/2), x = 0, 2 < y, z = y^(1/2)], [regular_chain, [[3, 3], [207243/65536,
3315889/1048576], [0, 0], [3, 3], [908093/524288, 1816187/1048576]]]], [[11, 
18, 6, 5, 5], [2^(1/2) < v, u = (v^2+1)^(1/2), x = 0, 2 < y, y^(1/2) < z], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [0, 0], [3, 3], [3, 3
]]]], [[1, 1, 8, 7, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = 1, And(1 < y,y
< u^2-v^2+2), z < -(y-1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [1, 1],
[19/2, 19/2], [-4, -4]]]], [[1, 1, 8, 7, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2)
, x = 1, And(1 < y,y < u^2-v^2+2), z = -(y-1)^(1/2)], [regular_chain, [[-3, -3
], [-5, -5], [1, 1], [19/2, 19/2], [-24456785/8388608, -1528549/524288]]]], [[
1, 1, 8, 7, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = 1, And(1 < y,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], [19/2, 19/2], [0, 0]]]], [[1, 1, 8, 7, 4], [v < -2^(1/2), u < -(v
^2+2)^(1/2), x = 1, And(1 < y,y < u^2-v^2+2), z = (y-1)^(1/2)], [regular_chain
, [[-3, -3], [-5, -5], [1, 1], [19/2, 19/2], [1528549/524288, 3057099/1048576]
]]], [[1, 1, 8, 7, 5], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = 1, And(1 < y,y <
u^2-v^2+2), (y-1)^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5], [1, 1], [19
/2, 19/2], [4, 4]]]], [[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 = 0, z < -(-x)^(1/2)], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/2],
[0, 0], [-2, -2]]]], [[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 = 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, 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 = 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, 6, 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, 6, 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, 8, 6, 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], [
395145/262144, 1580581/1048576], [-3, -3]]]], [[1, 7, 8, 6, 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], [
395145/262144, 1580581/1048576], [-1287385/1048576, -160923/131072]]]], [[1, 7
, 8, 6, 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], [395145/262144, 1580581/
1048576], [0, 0]]]], [[1, 7, 8, 6, 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], [395145/262144, 1580581/
1048576], [160923/131072, 1287385/1048576]]]], [[1, 7, 8, 6, 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], [
395145/262144, 1580581/1048576], [3, 3]]]], [[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(0 <
y,y < x), 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 = 3,
z < -2^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [1
, 1], [3, 3], [-3, -3]]]], [[1, 14, 8, 6, 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, 6, 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, 6, 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, 6,
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, 7, 3, 1], [v < -2^(1/2), u = -v, 1 < x, And(0 < y,y < x), z
= z], [regular_chain, [[-3, -3], [3, 3], [2, 2], [1, 1], [0, 0]]]], [[1, 20, 8
, 7, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 1, 4 < y, z < -(y-1)^(1/2)], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [1, 1], [5, 5], [
-3, -3]]]], [[1, 20, 8, 7, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 1, 4 < y,
z = -(y-1)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288
], [1, 1], [5, 5], [-2, -2]]]], [[1, 20, 8, 7, 3], [v < -2^(1/2), u = (v^2+2)^
(1/2), x = 1, 4 < y, 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, 7, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 1, 4 < y, z = (y-1)^(1/2)]
, [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [1, 1], [5, 5]
, [2, 2]]]], [[1, 20, 8, 7, 5], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 1, 4 < y
, (y-1)^(1/2) < z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [1, 1], [5, 5], [3, 3]]]], [[2, 1, 5, 6, 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, 6,
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, 6, 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, 6, 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, 6, 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, 4, 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, 5, 2, 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, 2, 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, 2, 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, 9, 1, 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], [-1, -1], [0, 0]]]], [[2, 18, 5, 9, 1], [v = -2^(1
/2), u = 2, And(-1 < x,x < 0), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [-1/2, -1/2], [4, 4], [-4, -4]]]], [
[2, 18, 5, 9, 2], [v = -2^(1/2), u = 2, And(-1 < x,x < 0), x+3 < y, z = -(y-x)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1/2, -\
1/2], [4, 4], [-1112183/524288, -2224365/1048576]]]], [[2, 18, 5, 9, 3], [v =
-2^(1/2), u = 2, And(-1 < x,x < 0), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1
/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1/2, -1/
2], [4, 4], [0, 0]]]], [[2, 18, 5, 9, 4], [v = -2^(1/2), u = 2, And(-1 < x,x <
0), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [2, 2], [-1/2, -1/2], [4, 4], [2224365/1048576, 1112183/524288]]]], [
[2, 18, 5, 9, 5], [v = -2^(1/2), u = 2, And(-1 < x,x < 0), x+3 < y, (y-x)^(1/2
) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1/2, -1
/2], [4, 4], [4, 4]]]], [[3, 4, 7, 1, 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], [-1, -1],
[0, 0]]]], [[3, 6, 5, 5, 1], [And(-2^(1/2) < v,v < -1), u = v, And(0 < x,x < 1
), And(x < y,y < x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [1, 1], [
-2, -2]]]], [[3, 6, 5, 5, 2], [And(-2^(1/2) < v,v < -1), u = v, And(0 < x,x <
1), And(x < y,y < x+1), z = -(y-x)^(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, 5, 3], [And(-2^(1/2) < v,v <
-1), u = v, And(0 < x,x < 1), And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-
x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [1/2, 1/2], [1, 1], [0, 0]]]], [[3, 6, 5, 5, 4], [
And(-2^(1/2) < v,v < -1), u = v, And(0 < x,x < 1), And(x < y,y < x+1), z = (y-
x)^(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, 5, 5], [And(-2^(1/2) < v,v < -1), u = v, And(0 < x,x < 1), And(
x < y,y < x+1), (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [1, 1], [2, 2]]]]
, [[3, 10, 9, 2, 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, 7, 6, 1], [And(-2
^(1/2) < v,v < -1), u = -v, 1 < x, y = x+1, z < -1], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2]
, [3, 3], [-2, -2]]]], [[3, 12, 7, 6, 2], [And(-2^(1/2) < v,v < -1), u = -v, 1
< x, y = x+1, z = -1], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1265743/1048576, 1265743/1048576], [2, 2], [3, 3], [-1, -1]]]], [[3, 12, 7, 6
, 3], [And(-2^(1/2) < v,v < -1), u = -v, 1 < x, y = x+1, And(-1 < z,z < 1)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [2, 2], [3, 3], [0, 0]]]], [[3, 12, 7, 6, 4], [And(-2^(1/2)
< v,v < -1), u = -v, 1 < x, y = x+1, z = 1], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [3, 3]
, [1, 1]]]], [[3, 12, 7, 6, 5], [And(-2^(1/2) < v,v < -1), u = -v, 1 < x, y =
x+1, 1 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/
1048576, 1265743/1048576], [2, 2], [3, 3], [2, 2]]]], [[3, 14, 7, 2, 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, 5, 1], [And(-2^(1/2) < v,
v < -1), u = (v^2+2)^(1/2), x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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(u^2+x < y,y < 0), z < -(y-x)^(
1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-4, -\
4], [-3198691/4194304, -3198691/4194304], [-3, -3]]]], [[4, 3, 1, 7, 2], [v =
-1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, And(u^2+x < y,y < 0), z = -(y-x)
^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-4,
-4], [-3198691/4194304, -3198691/4194304], [-3773343/2097152, -7546685/4194304
]]]], [[4, 3, 1, 7, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, And
(u^2+x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
1, -1], [-6598195/4194304, -6598195/4194304], [-4, -4], [-3198691/4194304, -\
3198691/4194304], [-1/8388608, -1/8388608]]]], [[4, 3, 1, 7, 4], [v = -1, And(
-3^(1/2) < u,u < -2^(1/2)), x < -u^2, And(u^2+x < y,y < 0), z = (y-x)^(1/2)],
[regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-4, -4], [-\
3198691/4194304, -3198691/4194304], [1886671/1048576, 117917/65536]]]], [[4, 3
, 1, 7, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, And(u^2+x < y,y
< 0), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195
/4194304], [-4, -4], [-3198691/4194304, -3198691/4194304], [3, 3]]]], [[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(0 < y,y < x), z = z], [regular_chain, [[-1, -1]
, [1, 1], [2, 2], [1, 1], [0, 0]]]], [[4, 12, 7, 7, 1], [v = -1, u = 2^(1/2),
And(0 < x,x < 1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [
741455/524288, 1482911/1048576], [1/2, 1/2], [4, 4], [-3, -3]]]], [[4, 12, 7,
7, 2], [v = -1, u = 2^(1/2), And(0 < x,x < 1), x+2 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [1/2, 1/2], [4, 4]
, [-7846825/4194304, -980853/524288]]]], [[4, 12, 7, 7, 3], [v = -1, u = 2^(1/
2), And(0 < x,x < 1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [1/2, 1/2], [4, 4]
, [0, 0]]]], [[4, 12, 7, 7, 4], [v = -1, u = 2^(1/2), And(0 < x,x < 1), x+2 <
y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [1/2, 1/2], [4, 4], [980853/524288, 1961707/1048576]]]], [[4, 12, 7,
7, 5], [v = -1, u = 2^(1/2), And(0 < x,x < 1), x+2 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [1/2, 1/2], [4, 4]
, [3, 3]]]], [[5, 1, 5, 4, 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, 4, 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, 4, 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, 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(-2*u^2+2*v^2 < y,y < -u^2+v^2-1), z = z], [regular_chain, [[-1/2, -1/2
], [-343151/262144, -343151/262144], [-2583195/1048576, -1291597/524288], [-\
45219451/16777216, -45219451/16777216], [0, 0]]]], [[5, 12, 7, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 7, 1], [v = 0, u < -2^(1/2), x = -1, And(0 < y,y
< u^2), z < -(y+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-1, -1], [9/2,
9/2], [-4, -4]]]], [[6, 1, 4, 7, 2], [v = 0, u < -2^(1/2), x = -1, And(0 < y,y
< u^2), z = -(y+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-1, -1], [9/2,
9/2], [-2459129/1048576, -307391/131072]]]], [[6, 1, 4, 7, 3], [v = 0, u < -2^
(1/2), x = -1, And(0 < y,y < u^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[0, 0], [-3, -3], [-1, -1], [9/2, 9/2], [0, 0]]]], [[6, 1, 4,
7, 4], [v = 0, u < -2^(1/2), x = -1, And(0 < y,y < u^2), z = (y+1)^(1/2)], [
regular_chain, [[0, 0], [-3, -3], [-1, -1], [9/2, 9/2], [307391/131072, 
2459129/1048576]]]], [[6, 1, 4, 7, 5], [v = 0, u < -2^(1/2), x = -1, And(0 < y
,y < u^2), (y+1)^(1/2) < z], [regular_chain, [[0, 0], [-3, -3], [-1, -1], [9/2
, 9/2], [4, 4]]]], [[6, 5, 3, 9, 1], [v = 0, And(-1 < u,u < 0), And(-u^2-1 < x
,x < -1), u^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2
], [-9/8, -9/8], [2, 2], [-3, -3]]]], [[6, 5, 3, 9, 2], [v = 0, And(-1 < u,u <
0), And(-u^2-1 < x,x < -1), u^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[
0, 0], [-1/2, -1/2], [-9/8, -9/8], [2, 2], [-7414553/4194304, -926819/524288]]
]], [[6, 5, 3, 9, 3], [v = 0, And(-1 < u,u < 0), And(-u^2-1 < x,x < -1), u^2+x
+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [-1/2
, -1/2], [-9/8, -9/8], [2, 2], [0, 0]]]], [[6, 5, 3, 9, 4], [v = 0, And(-1 < u
,u < 0), And(-u^2-1 < x,x < -1), u^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain
, [[0, 0], [-1/2, -1/2], [-9/8, -9/8], [2, 2], [926819/524288, 1853639/1048576
]]]], [[6, 5, 3, 9, 5], [v = 0, And(-1 < u,u < 0), And(-u^2-1 < x,x < -1), u^2
+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8
], [2, 2], [3, 3]]]], [[6, 7, 4, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 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 < -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [-1/2, -1/2], [11, 11], [-5, -5]]]], [[7
, 1, 5, 9, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), u^2-v
^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-1/2, -\
1/2], [11, 11], [-3555895/1048576, -1777947/524288]]]], [[7, 1, 5, 9, 3], [And
(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), u^2-v^2+x+1 < y, And(-(y
-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [-1/2,
-1/2], [11, 11], [0, 0]]]], [[7, 1, 5, 9, 4], [And(0 < v,v < 1), u < -(v^2+2)^
(1/2), And(-1 < x,x < 0), u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [
[1/2, 1/2], [-3, -3], [-1/2, -1/2], [11, 11], [1777947/524288, 3555895/1048576
]]]], [[7, 1, 5, 9, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-1 < x,x <
0), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3, -3],
[-1/2, -1/2], [11, 11], [5, 5]]]], [[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 < x-u^2+v^
2+1, z = z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-\
1815885/1048576, -1815885/1048576], [-4, -4], [0, 0]]]], [[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 = 0, z < -(
-x)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [0, 0], [-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 = 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, 6, 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, 6, 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, 6, 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, 1, 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 = z], [regular_chain, [[1/2, 1/2], [1696631
/2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152], [-2, -2], [0,
0]]]], [[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 < -(u^2-v^2+1)^(1/2)],
[regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1815885/1048576
, -1815885/1048576], [767309/1048576, 383655/524288], [-3, -3]]]], [[7, 11, 3,
8, 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
], [767309/1048576, 383655/524288], [-3291611/2097152, -1645805/1048576]]]], [
[7, 11, 3, 8, 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], [767309/1048576, 383655/524288], [0, 0
]]]], [[7, 11, 3, 8, 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], [767309/1048576, 383655/524288], [1645805/1048576, 822903/
524288]]]], [[7, 11, 3, 8, 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], [767309/1048576, 383655/524288], [3, 3]]]], [[7, 
13, 1, 2, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = x-u^2+
v^2+1, z = z], [regular_chain, [[1/2, 1/2], [3, 3], [-11, -11], [-75/4, -75/4]
, [0, 0]]]], [[8, 3, 7, 2, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(0 <
x,x < u^2-2), y = x-u^2+2, z = z], [regular_chain, [[1, 1], [-6598195/4194304,
-6598195/4194304], [248903/1048576, 248903/1048576], [-31113/131072, -248903/
1048576], [0, 0]]]], [[8, 5, 6, 3, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = u
^2-2, And(u^2-2 < y,y < 0), z < -(y-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-1138531/2097152, -569265/1048576], [-\
569265/2097152, -569265/2097152], [-2, -2]]]], [[8, 5, 6, 3, 2], [v = 1, And(-
2^(1/2) < u,u < -1), x = u^2-2, And(u^2-2 < y,y < 0), z = -(y-u^2+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, 3, 3], [v = 1, And(-2^(1/2) < u,u < -1
), x = u^2-2, And(u^2-2 < y,y < 0), And(-(y-u^2+2)^(1/2) < z,z < (y-u^2+2)^(1/
2))], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1138531
/2097152, -569265/1048576], [-569265/2097152, -569265/2097152], [0, 0]]]], [[8
, 5, 6, 3, 4], [v = 1, And(-2^(1/2) < u,u < -1), x = u^2-2, And(u^2-2 < y,y <
0), z = (y-u^2+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, 3, 5], [v = 1, And(-2
^(1/2) < u,u < -1), x = u^2-2, And(u^2-2 < y,y < 0), (y-u^2+2)^(1/2) < z], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1138531/
2097152, -569265/1048576], [-569265/2097152, -569265/2097152], [2, 2]]]], [[8,
11, 5, 5, 1], [v = 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), And(x-u^2
+2 < y,y < 0), z < -(y-x)^(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(x-u^2+2 < y,y < 0), z = -(y-x)^(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(x-u^2+2 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x-u
^2+2 < y,y < 0), z = (y-x)^(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(x-u^2+2 < y,y < 0), (y-x)
^(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 < -u], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1,
-1], [1546381/1048576, 773191/524288], [-3, -3]]]], [[8, 13, 4, 8, 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], [1546381/1048576, 773191/
524288], [-3299097/2097152, -3299097/2097152]]]], [[8, 13, 4, 8, 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], [1546381
/1048576, 773191/524288], [-1/4194304, -1/4194304]]]], [[8, 13, 4, 8, 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], [1546381/1048576, 773191/
524288], [412387/262144, 1649549/1048576]]]], [[8, 13, 4, 8, 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], [1546381/1048576, 773191/524288],
[3, 3]]]], [[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 = 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], [
7909297/524288, 15818595/1048576], [-4, -4]]]], [[9, 1, 10, 6, 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], [7909297/524288, 15818595/1048576], [-\
1532401/524288, -24518415/8388608]]]], [[9, 1, 10, 6, 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], [7909297/524288, 
15818595/1048576], [-7/16777216, -7/16777216]]]], [[9, 1, 10, 6, 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], [7909297/524288, 15818595/1048576], [3064801
/1048576, 1532401/524288]]]], [[9, 1, 10, 6, 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], [7909297/524288, 15818595/1048576], [4, 4]]]], [[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 = 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-14373233/8388608, -14373233/8388608], [501965/1048576, 250983/524288], [0, 0
], [0, 0]]]], [[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 = 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], [735353/1048576, 367677/
524288], [-3, -3]]]], [[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 = 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], [735353/1048576, 
367677/524288], [-1270261/1048576, -317565/262144]]]], [[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 = u^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], [735353/1048576, 367677/524288
], [0, 0]]]], [[9, 13, 5, 8, 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], [735353/1048576, 367677/
524288], [317565/262144, 1270261/1048576]]]], [[9, 13, 5, 8, 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], [735353/1048576, 367677/524288], [3, 3]]]], [[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 = x-u^2+v^2+1, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576
], [898327/524288, 898327/524288], [-1/2, -1/2], [-16420051/16777216, -\
32840101/33554432], [0, 0]]]], [[10, 1, 11, 2, 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, 8, 5, 1], [v = 2^(1/2), And(-2 < u,u <
-3^(1/2)), x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), z < -(y-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [505467/1048576, 126367/262144], [1806777/1048576, 1806777/1048576],
[-3, -3]]]], [[10, 3, 8, 5, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = u^
2-3, And(u^2-3 < y,y < 2*u^2-4), z = -(y-u^2+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [505467
/1048576, 126367/262144], [1806777/1048576, 1806777/1048576], [-4563/4096, -\
1168127/1048576]]]], [[10, 3, 8, 5, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2))
, x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+3
)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [505467/1048576, 126367/262144], [1806777/1048576,
1806777/1048576], [0, 0]]]], [[10, 3, 8, 5, 4], [v = 2^(1/2), And(-2 < u,u < -
3^(1/2)), x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), z = (y-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [505467/1048576, 126367/262144], [1806777/1048576, 1806777/1048576],
[1168127/1048576, 4563/4096]]]], [[10, 3, 8, 5, 5], [v = 2^(1/2), And(-2 < u,u
< -3^(1/2)), x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), (y-u^2+3)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [505467/1048576, 126367/262144], [1806777/1048576, 1806777/1048576],
[3, 3]]]], [[10, 9, 5, 9, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(-1 < x,x <
0), x-u^2+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1/2, -1/2], [-1/2, -1/2], [4, 4], [-4, -4]]]], [[10, 9, 5, 9, 2],
[v = 2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), x-u^2+3 < y, z = -(y-x)^(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, 9, 3], [v =
2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), x-u^2+3 < y, And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2,
-1/2], [-1/2, -1/2], [4, 4], [0, 0]]]], [[10, 9, 5, 9, 4], [v = 2^(1/2), And(-\
1 < u,u < 0), And(-1 < x,x < 0), x-u^2+3 < y, z = (y-x)^(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, 9, 5], [v = 2^(1/2), And(-1 <
u,u < 0), And(-1 < x,x < 0), x-u^2+3 < y, (y-x)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1/2, -1/2], [-1/2, -1/2], [4, 4], [4, 4]]]]
, [[10, 11, 3, 5, 1], [v = 2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), 
And(x < y,y < 0), z < -(y-x)^(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(x < y,y <
0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)
^(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 = u^2+x-1, z < -(u^2-1)^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-3198693/4194304, -3198693/4194304], [186677/262144, 746709
/1048576], [-3, -3]]]], [[10, 15, 5, 8, 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], [186677/262144, 746709/1048576], [-1273381
/1048576, -318345/262144]]]], [[10, 15, 5, 8, 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], [186677/
262144, 746709/1048576], [0, 0]]]], [[10, 15, 5, 8, 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], [186677/262144, 746709/1048576
], [318345/262144, 1273381/1048576]]]], [[10, 15, 5, 8, 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], [186677/262144, 746709/1048576
], [3, 3]]]], [[10, 17, 5, 2, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-1
< x,x < 0), y = x-u^2+3, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [-32952163/
33554432, -16476081/16777216], [0, 0]]]], [[10, 18, 9, 7, 1], [v = 2^(1/2), u
= 2, 1 < x, And(x < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [2, 2], [2, 2], [7/2, 7/2], [-3, -3]]]], [[10, 18, 9
, 7, 2], [v = 2^(1/2), u = 2, 1 < x, And(x < y,y < x+3), z = -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [2, 2], [7/2, 7/2],
[-1284239/1048576, -642119/524288]]]], [[10, 18, 9, 7, 3], [v = 2^(1/2), u = 2
, 1 < x, And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [2, 2], [7/2, 7/2],
[0, 0]]]], [[10, 18, 9, 7, 4], [v = 2^(1/2), u = 2, 1 < x, And(x < y,y < x+3),
z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [
2, 2], [7/2, 7/2], [642119/524288, 1284239/1048576]]]], [[10, 18, 9, 7, 5], [v
= 2^(1/2), u = 2, 1 < x, And(x < y,y < x+3), (y-x)^(1/2) < z], [regular_chain,
[[741455/524288, 1482911/1048576], [2, 2], [2, 2], [7/2, 7/2], [3, 3]]]], [[11
, 1, 7, 1, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(0 < x,x < 1), y < x-u^2+v
^2+1, z = z], [regular_chain, [[3, 3], [-5, -5], [1/2, 1/2], [-16, -16], [0, 0
]]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [-403851
/131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [0, 0], [-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 = 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, 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 = 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, 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 = 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, 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 = 0, (-x)^(1/2) < z], [regular_chain, [[3,
3], [-403851/131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [0
, 0], [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 < -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], [133001/262144, 133001/262144], [-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
< -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], [133001/262144
, 133001/262144], [-8796092106889/8796093022208, -1099511513361/1099511627776]
]]], [[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 < -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], [133001/262144, 133001/262144], [-934161/
2199023255552, -934161/2199023255552]]]], [[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 < -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], [133001/262144, 133001/262144], [
1048575/1048576, 1]]]], [[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 < -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], [133001/262144, 133001/262144], [2, 2]]]], [[11, 12,
7, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 14, 6, 3, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 0, And(0 <
y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < x), z = z], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [2, 2], [1, 1], [0, 0
]]]], [[11, 20, 6, 6, 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, 6, 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,
6, 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, 6, 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, 6, 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, 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(x-u^2+v^2+1 < y,y < 0), z < -(y-x)^(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(x-u^2+v^2+1 < y,y < 0), z = -(y-x)^(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(x-u^2+v^2+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x-u^2+v^2+1 < y,y < 0), z = (y-x)^(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(x-u^2+v^2+1 < y,y < 0), (y-x)^(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-u^2+v^2+1 < y, z < -(y-
x)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-\
391287/524288, -391287/524288], [2, 2], [-3, -3]]]], [[1, 7, 5, 9, 2], [v < -2
^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), x-u^2+v^2+1
< y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549
/2097152], [-391287/524288, -391287/524288], [2, 2], [-1737703/1048576, -\
3475405/2097152]]]], [[1, 7, 5, 9, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), And(-1 < x,x < -u^2+v^2-1), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152],
[-391287/524288, -391287/524288], [2, 2], [-1/4194304, -1/4194304]]]], [[1, 7,
5, 9, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^
2-1), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-391287/524288, -391287/524288], [2, 2], [868851/
524288, 1737703/1048576]]]], [[1, 7, 5, 9, 5], [v < -2^(1/2), And(v < u,u < -(
v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), x-u^2+v^2+1 < y, (y-x)^(1/2) < z],
[regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-391287/
524288, -391287/524288], [2, 2], [3, 3]]]], [[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 = z], [regular_chain, [[-3, -3], [0, 0], [-1/2, -1/2], [-17/2, -17/2], [0, 0
]]]], [[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 < 2*u^2-2*v^2, z = z], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [-5260377/2097152, -657547/262144], [-5, -5],
[0, 0]]]], [[1, 18, 9, 2, 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, 1, 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], [-2, -2], [0, 0]]]], [[2, 3, 3, 5, 1], [v = -2^(1/2), And(-2 < u,u < -3^
(1/2)), And(-u^2+1 < x,x < -1), And(x < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-3651195/2097152, -3651195/2097152], [-3651195/4194304, -\
3651195/4194304], [-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(x < y,y < 0), z = -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-3651195/2097152, -3651195/2097152], [-3651195/4194304, -\
3651195/4194304], [-3913339/4194304, -7826677/8388608]]]], [[2, 3, 3, 5, 3], [
v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), And(x < y,y <
0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576
, -741455/524288], [-3913339/2097152, -3913339/2097152], [-3651195/2097152, -\
3651195/2097152], [-3651195/4194304, -3651195/4194304], [-5/16777216, -5/
16777216]]]], [[2, 3, 3, 5, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-
u^2+1 < x,x < -1), And(x < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-\
3651195/2097152, -3651195/2097152], [-3651195/4194304, -3651195/4194304], [
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(x < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-3651195/2097152, -3651195/2097152], [-3651195/4194304, -\
3651195/4194304], [2, 2]]]], [[2, 5, 2, 2, 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], [-1546383/1048576, -773191/524288], [-1, -1]]]], [[2, 5, 2, 2,
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], [-1546383/1048576, -\
773191/524288], [0, 0]]]], [[2, 5, 2, 2, 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], [-1546383/1048576, -773191/524288], [1, 1]]]], [[2, 7, 1, 8, 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, 8, 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, 8, 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, 8,
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, 8, 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, 9, 5, 1], [v = -2^(1/2)
, u = -1, 1 < x, And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [2, 2], [3, 3], [-2, -2]]]], [[2,
8, 9, 5, 2], [v = -2^(1/2), u = -1, 1 < x, And(x < y,y < x+2), z = -(y-x)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [2, 2], [3,
3], [-1, -1]]]], [[2, 8, 9, 5, 3], [v = -2^(1/2), u = -1, 1 < x, And(x < y,y <
x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [2, 2], [3, 3], [0, 0]]]], [[2, 8, 9, 5, 4
], [v = -2^(1/2), u = -1, 1 < x, And(x < y,y < x+2), z = (y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [2, 2], [3, 3],
[1, 1]]]], [[2, 8, 9, 5, 5], [v = -2^(1/2), u = -1, 1 < x, And(x < y,y < x+2),
(y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1
], [2, 2], [3, 3], [2, 2]]]], [[2, 12, 8, 5, 1], [v = -2^(1/2), u = 1, x = 1,
And(1 < y,y < 3), z < -(y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [1, 1], [2, 2], [-2, -2]]]], [[2, 12, 8, 5, 2], [v = -
2^(1/2), u = 1, x = 1, And(1 < y,y < 3), z = -(y-1)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [1, 1], [1, 1], [2, 2], [-1, -1]]]], [[2, 
12, 8, 5, 3], [v = -2^(1/2), u = 1, x = 1, And(1 < y,y < 3), 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, 5, 4], [v = -2^(1/2), u = 1, x =
1, And(1 < y,y < 3), z = (y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [1, 1], [2, 2], [1, 1]]]], [[2, 12, 8, 5, 5], [v = -2^
(1/2), u = 1, x = 1, And(1 < y,y < 3), (y-1)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [1, 1], [2, 2], [2, 2]]]], [[2, 14,
7, 2, 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, 1, 9, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/
2), x < -u^2+v^2-1, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [-10, -10], [1, 1], [-5, -5]]]], [[3, 1,
1, 9, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, 0 < y
, z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3, -3], [-10, -10], [1, 1], [-1738867/524288, -3477733/1048576]]]], [[3, 1, 1,
9, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, 0 < y, 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [-10, -10], [1, 1], [0, 0]]]], [[3, 1, 1, 9, 4], [
And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, 0 < y, z = (y-x)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-10
, -10], [1, 1], [3477733/1048576, 1738867/524288]]]], [[3, 1, 1, 9, 5], [And(-
2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, 0 < y, (y-x)^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-10, -10
], [1, 1], [5, 5]]]], [[3, 2, 7, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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
= x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [-1498947/
1048576, -749473/524288], [-3, -3]]]], [[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 = x-u^2+v^2+1, z = -(-u^2
+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-3, -3], [-1498947/1048576, -749473/
524288], [-1314069/1048576, -328517/262144]]]], [[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 = x-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], [-3,
-3], [-1498947/1048576, -749473/524288], [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 = x-u^2+v^2
+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [-1498947/1048576, -\
749473/524288], [328517/262144, 1314069/1048576]]]], [[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 = x-u^2+v^
2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [-1498947/1048576, -\
749473/524288], [3, 3]]]], [[3, 8, 9, 3, 1], [And(-2^(1/2) < v,v < -1), u = -(
v^2-1)^(1/2), 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [2, 2], [1, 1]
, [0, 0]]]], [[4, 1, 2, 2, 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, 1, 1], [v = -1, u = -3^(1/2), x = 1, y < 0, z = z], [regular_chain,
[[-1, -1], [-1816187/1048576, -3632373/2097152], [1, 1], [-1, -1], [0, 0]]]],
[[4, 7, 2, 1, 1], [v = -1, And(-1 < u,u < 0), x = u^2-2, y < u^2-2, z = z], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-7/4, -7/4], [-3, -3], [0, 0]]]], [[4
, 8, 9, 7, 1], [v = -1, u = 0, 1 < x, x+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [2, 2], [5, 5], [-3, -3]]]], [[4, 8, 9, 7, 2
], [v = -1, u = 0, 1 < x, x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1
], [0, 0], [2, 2], [5, 5], [-1816187/1048576, -3632373/2097152]]]], [[4, 8, 9,
7, 3], [v = -1, u = 0, 1 < x, x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[-1, -1], [0, 0], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]]
, [[4, 8, 9, 7, 4], [v = -1, u = 0, 1 < x, x+2 < y, z = (y-x)^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [2, 2], [5, 5], [908093/524288, 1816187/
1048576]]]], [[4, 8, 9, 7, 5], [v = -1, u = 0, 1 < x, x+2 < y, (y-x)^(1/2) < z
], [regular_chain, [[-1, -1], [0, 0], [2, 2], [5, 5], [3, 3]]]], [[4, 14, 5, 8
, 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, 8, 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, 8, 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, 8
, 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, 8, 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, 7, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, 0 < y, 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, 7, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2),
x = -u^2+v^2-1, 0 < y, 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, 7, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, 0 < y
, 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, 7, 4], [And
(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, 0 < y, 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, 7, 5], [And(-1 < v,v < 0), u <
-(v^2+2)^(1/2), x = -u^2+v^2-1, 0 < y, (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, 2, 2, 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], [-736367/524288, -\
1472733/1048576], [-1, -1]]]], [[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 = -u^2+v^2-1, z = 0], [regular_chain,
[[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-736367/524288, -1472733
/1048576], [-736367/524288, -1472733/1048576], [0, 0]]]], [[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 = -u^2+v^2
-1, 0 < z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152
], [-736367/524288, -1472733/1048576], [-736367/524288, -1472733/1048576], [1,
1]]]], [[5, 7, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 1, 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 = z], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-736367/
524288, -1472733/1048576], [-3, -3], [0, 0]]]], [[5, 10, 9, 7, 1], [And(-1 < v
,v < 0), u = (v^2+1)^(1/2), 1 < x, x+2 < y, z < -(y-x)^(1/2)], [regular_chain,
[[-1/2, -1/2], [1172343/1048576, 146543/131072], [2, 2], [5, 5], [-3, -3]]]],
[[5, 10, 9, 7, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), 1 < x, x+2 < y, z =
-(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072]
, [2, 2], [5, 5], [-1816187/1048576, -3632373/2097152]]]], [[5, 10, 9, 7, 3],
[And(-1 < v,v < 0), u = (v^2+1)^(1/2), 1 < x, x+2 < y, And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/
131072], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[5, 10, 9, 7, 4], [And(
-1 < v,v < 0), u = (v^2+1)^(1/2), 1 < x, x+2 < y, z = (y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [2, 2], [5, 5]
, [908093/524288, 1816187/1048576]]]], [[5, 10, 9, 7, 5], [And(-1 < v,v < 0),
u = (v^2+1)^(1/2), 1 < x, x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -\
1/2], [1172343/1048576, 146543/131072], [2, 2], [5, 5], [3, 3]]]], [[6, 1, 7,
4, 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, 3, 1], [v = 0, 
And(-2^(1/2) < u,u < -1), x = -1, And(-u^2 < y,y < -1), z = z], [regular_chain
, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1, -1], [-1288231/1048576,
-1288231/1048576], [0, 0]]]], [[6, 9, 2, 2, 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], [-6111547/2097152, -\
24446187/8388608], [0, 0]]]], [[6, 10, 8, 1, 1], [v = 0, u = 2^(1/2), x = 1, y
< 0, z = z], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [1, 1]
, [-1, -1], [0, 0]]]], [[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(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x
)^(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(x < y,y < 0
), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = -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
], [-2, -2]]]], [[7, 5, 4, 4, 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], [-1618333/2097152, -3236665/4194304]]]], [[7, 5, 4, 4, 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], [-1/
8388608, -1/8388608]]]], [[7, 5, 4, 4, 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], [404583/524288, 809167/1048576]]]], [[7, 5, 4, 4, 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], [2, 2]]]], [[8, 1, 7, 6, 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, 6, 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, 6, 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, 9, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x
= -1, u^2-1 < y, z < -(y+1)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304
, -6598195/4194304], [-1, -1], [3, 3], [-3, -3]]]], [[8, 3, 4, 9, 2], [v = 1,
And(-3^(1/2) < u,u < -2^(1/2)), x = -1, u^2-1 < y, z = -(y+1)^(1/2)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1, -1], [3, 3]
, [-2, -2]]]], [[8, 3, 4, 9, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -\
1, u^2-1 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1, 1],
[-6598195/4194304, -6598195/4194304], [-1, -1], [3, 3], [0, 0]]]], [[8, 3, 4,
9, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, u^2-1 < y, z = (y+1)^(1
/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1, -1],
[3, 3], [2, 2]]]], [[8, 3, 4, 9, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x
= -1, u^2-1 < y, (y+1)^(1/2) < z], [regular_chain, [[1, 1], [-6598195/4194304,
-6598195/4194304], [-1, -1], [3, 3], [3, 3]]]], [[8, 7, 7, 3, 1], [v = 1, And(
-1 < u,u < 0), And(-u^2 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [-1/16, -1/16], [-2, -2]]]
], [[8, 7, 7, 3, 2], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), And(x < y
,y < 0), z = -(y-x)^(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, 3, 3], [v = 1, And(-1 < u,u < 0
), And(-u^2 < x,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2)
)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [-1/16, -1/16], [0, 0
]]]], [[8, 7, 7, 3, 4], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), And(x
< y,y < 0), z = (y-x)^(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, 3, 5], [v = 1, And(-1 < u,u < 0
), And(-u^2 < x,x < 0), And(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[
1, 1], [-1/2, -1/2], [-1/8, -1/8], [-1/16, -1/16], [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(-2*u^2+2 < y,y < -u^2),
z = z], [regular_chain, [[1, 1], [3, 3], [-9, -9], [-25/2, -25/2], [0, 0]]]],
[[9, 1, 8, 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, 8, 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, 8, 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 3, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 0, 
And(0 < y,y < u^2-v^2+1), 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, 3, 2], [And(1 < v,v < 2^(1/2
)), And(-v < u,u < -(v^2-1)^(1/2)), x = 0, And(0 < y,y < u^2-v^2+1), 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, 3, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u <
-(v^2-1)^(1/2)), x = 0, And(0 < 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], [225185/1048576, 225185/1048576], [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(
0 < y,y < u^2-v^2+1), 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, 3, 5], [And(1
< v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 0, And(0 < y,y < u^2-v^2
+1), 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, 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(0 < y,y < x-u^2+v^2+1), z < -(y-x)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1/2, -1/2
], [1026087/1048576, 1026087/1048576], [-3, -3]]]], [[9, 9, 5, 7, 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-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-1/2, -1/2], [1026087/1048576, 1026087/
1048576], [-79689/65536, -1275023/1048576]]]], [[9, 9, 5, 7, 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-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[1265743/1048576, 1265743/1048576], [0, 0], [-1/2, -1/2], [1026087/1048576,
1026087/1048576], [0, 0]]]], [[9, 9, 5, 7, 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-u^2+v^
2+1), z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
0, 0], [-1/2, -1/2], [1026087/1048576, 1026087/1048576], [1275023/1048576, 
79689/65536]]]], [[9, 9, 5, 7, 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-u^2+v^2+1), (y-x)^(
1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1/2,
-1/2], [1026087/1048576, 1026087/1048576], [3, 3]]]], [[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 < x, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [-374737/524288, -374737/524288], [-2, -2], [0, 0]]]
], [[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 = 0, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [501965/2097152, 
501965/2097152], [0, 0], [0, 0]]]], [[9, 17, 4, 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), z < -(y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1, -1], [7909297
/2097152, 7909297/2097152], [-4, -4]]]], [[9, 17, 4, 7, 2], [And(1 < v,v < 2^(
1/2)), (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < u^2-v^2), z = -(y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1, -1], [7909297
/2097152, 7909297/2097152], [-286309/131072, -2290471/1048576]]]], [[9, 17, 4,
7, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < u^2-v
^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1265743/1048576
, 1265743/1048576], [3, 3], [-1, -1], [7909297/2097152, 7909297/2097152], [0,
0]]]], [[9, 17, 4, 7, 4], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = -1,
And(0 < y,y < u^2-v^2), z = (y+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [-1, -1], [7909297/2097152, 7909297/2097152], [
2290471/1048576, 286309/131072]]]], [[9, 17, 4, 7, 5], [And(1 < v,v < 2^(1/2))
, (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < u^2-v^2), (y+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1, -1], [7909297
/2097152, 7909297/2097152], [4, 4]]]], [[10, 5, 5, 8, 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], [746709/1048576, 373355/524288],
[-3, -3]]]], [[10, 5, 5, 8, 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], [746709/1048576, 373355/524288], [-636691/524288, -\
1273381/1048576]]]], [[10, 5, 5, 8, 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], [746709/1048576, 373355/
524288], [0, 0]]]], [[10, 5, 5, 8, 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], [746709/1048576, 373355/524288], [1273381/
1048576, 636691/524288]]]], [[10, 5, 5, 8, 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], [746709/1048576, 373355/524288],
[3, 3]]]], [[10, 7, 6, 7, 1], [v = 2^(1/2), And(-v < u,u < -1), x = -u^2+1, -2
*u^2+4 < y, 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, 7, 2], [v = 2^(1/2), And(-v < u,u <
-1), x = -u^2+1, -2*u^2+4 < y, 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, 7, 3], [v = 2^(1/2), And(-v < u,u < -1), x = -u^2+1, -2*u^2+4 < y, 
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, 7,
4], [v = 2^(1/2), And(-v < u,u < -1), x = -u^2+1, -2*u^2+4 < y, 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, 7, 5], [v = 2^(1/2), And(-v < u,u < -1), x =
-u^2+1, -2*u^2+4 < y, (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, 5, 5, 1], [v = 2^(1/2), And(0 < u
,u < 1), And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y
-x)^(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 = -u^2+2, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [
569265/1048576, 284633/524288], [-3, -3]]]], [[10, 13, 4, 8, 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],
[569265/1048576, 284633/524288], [-1302471/1048576, -651235/524288]]]], [[10,
13, 4, 8, 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], [569265/1048576, 
284633/524288], [0, 0]]]], [[10, 13, 4, 8, 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], [569265/
1048576, 284633/524288], [651235/524288, 1302471/1048576]]]], [[10, 13, 4, 8,
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], [569265/1048576, 284633/524288], [3, 3]]]], [[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 < -1), z = z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811
/1048576], [-1, -1], [-653799/524288, -653799/524288], [0, 0]]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [-2614535/2097152, -2614535/2097152], [0, 0], [-3, -3]]]], [[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 = 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, 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 = 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, 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 = 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, 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 = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [0, 0], [3, 3]]
]], [[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), x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[3,
3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2], [4, 4], [-4, -4]]]],
[[11, 9, 5, 9, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 
And(-1 < x,x < 0), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3]
, [-22960369/8388608, -22960369/8388608], [-1/2, -1/2], [4, 4], [-1112183/
524288, -2224365/1048576]]]], [[11, 9, 5, 9, 3], [2^(1/2) < v, And(-(v^2-1)^(1
/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), x-u^2+v^2+1 < y, And(-(y-x)^(1
/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [-1/2, -1/2], [4, 4], [0, 0]]]], [[11, 9, 5, 9, 4], [2^(1/2
) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), x-u^2+v^
2+1 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [-1/2, -1/2], [4, 4], [2224365/1048576, 1112183/524288]]]],
[[11, 9, 5, 9, 5], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 
And(-1 < x,x < 0), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3],
[-22960369/8388608, -22960369/8388608], [-1/2, -1/2], [4, 4], [4, 4]]]], [[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(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)
^(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 < x+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [3, 3], [1/2, 1/2], [1
, 1], [-2, -2]]]], [[11, 16, 5, 5, 2], [2^(1/2) < v, u = v, And(0 < x,x < 1),
And(x < y,y < x+1), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [3, 3], [1/2,
1/2], [1, 1], [-1482911/2097152, -741455/1048576]]]], [[11, 16, 5, 5, 3], [2^(
1/2) < v, u = v, And(0 < x,x < 1), And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[3, 3], [3, 3], [1/2, 1/2], [1, 1], [0, 0]]]
], [[11, 16, 5, 5, 4], [2^(1/2) < v, u = v, And(0 < x,x < 1), And(x < y,y < x+
1), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [3, 3], [1/2, 1/2], [1, 1], [
741455/1048576, 46341/65536]]]], [[11, 16, 5, 5, 5], [2^(1/2) < v, u = v, And(
0 < x,x < 1), And(x < y,y < x+1), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [
3, 3], [1/2, 1/2], [1, 1], [2, 2]]]], [[11, 18, 6, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 8, 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, 8, 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, 8, 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, 8, 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,
8, 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, 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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain,
[[-3, -3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/2], [522727/524288,
522727/524288], [-3, -3]]]], [[1, 3, 5, 7, 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 < u^2-v^2+x+1), z =
-(y-x)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576]
, [-1/2, -1/2], [522727/524288, 522727/524288], [-1282963/1048576, -641481/
524288]]]], [[1, 3, 5, 7, 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 < u^2-v^2+x+1), And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [-1/2, -1/2], [522727/524288, 522727/524288], [0, 0]]]], [[1, 3, 5,
7, 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 < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[-3, -3],
[-3396811/1048576, -3396811/1048576], [-1/2, -1/2], [522727/524288, 522727/
524288], [641481/524288, 1282963/1048576]]]], [[1, 3, 5, 7, 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 < u
^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-3396811/1048576, -\
3396811/1048576], [-1/2, -1/2], [522727/524288, 522727/524288], [3, 3]]]], [[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 < -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, 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 < -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, 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 < -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, 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 < -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, 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 < -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, 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 = 0, z = z], [regular_chain, [[-3, -3], [-22960369/8388608
, -22960369/8388608], [533035/2097152, 533035/2097152], [0, 0], [0, 0]]]], [[1
, 14, 8, 7, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x = 1, 3 < y, z < -(y-1)^(1/
2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [1, 1], [4,
4], [-3, -3]]]], [[1, 14, 8, 7, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), x = 1, 3
< y, z = -(y-1)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [1, 1], [4, 4], [-1816187/1048576, -3632373/2097152]]]], [[1, 14, 8,
7, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), x = 1, 3 < y, 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, 7, 4], [v < -2^(1/2),
u = (v^2-1)^(1/2), x = 1, 3 < y, z = (y-1)^(1/2)], [regular_chain, [[-3, -3],
[741455/262144, 2965821/1048576], [1, 1], [4, 4], [908093/524288, 1816187/
1048576]]]], [[1, 14, 8, 7, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), x = 1, 3 < y
, (y-1)^(1/2) < z], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576
], [1, 1], [4, 4], [3, 3]]]], [[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 = 4, z < -3^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [1, 1], [4, 4], [-3, -3]]]], [[1, 20, 8, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = -2^(1/2), u < -2, 
And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y
< 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z
< (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y
,y < 0), (y-x)^(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(0 < y,y < x), 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 < y,y < 0), z
< -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1],
[-1/2, -1/2], [-1/4, -1/4], [-2, -2]]]], [[2, 12, 5, 3, 2], [v = -2^(1/2), u =
1, And(-1 < x,x < 0), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v = -2^(1/2), u = 1, And(-1 < x,x < 0), And(x < y
,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [-1/2, -1/2], [-1/4, -1/4], [0, 0]]]], [[2,
12, 5, 3, 4], [v = -2^(1/2), u = 1, And(-1 < x,x < 0), And(x < y,y < 0), z = (
y-x)^(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, 3, 5], [v = -2^(1/2), u = 1
, And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [-1/2, -1/2], [-1/4, -1/4], [2, 2]]]
], [[2, 16, 8, 7, 1], [v = -2^(1/2), u = 3^(1/2), x = 1, 3 < y, z < -(y-1)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 
1816187/1048576], [1, 1], [4, 4], [-3, -3]]]], [[2, 16, 8, 7, 2], [v = -2^(1/2
), u = 3^(1/2), x = 1, 3 < y, 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, 7, 3], [v = -2^(1/2), u = 3
^(1/2), x = 1, 3 < y, 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, 7, 4], [v = -2^(1/2), u = 3^(
1/2), x = 1, 3 < y, 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, 7, 5], [v = -2^(1/2), u = 3^(1/2), x
= 1, 3 < y, (y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [908093/524288, 1816187/1048576], [1, 1], [4, 4], [3, 3]]]], [[2, 18,
5, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 7, 2, 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, 5, 6, 1], [And(-2^(1/
2) < v,v < -1), u = v, And(0 < x,x < 1), y = x+1, 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, 6, 2], [And(-2^(1/2) < v,v < -1),
u = v, And(0 < x,x < 1), y = x+1, 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, 6, 3], [And(-2^(1/2) < v,v < -1), u = v, And(0 < x,
x < 1), y = x+1, 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, 6, 4], [And(-2^(1/2) < v,v < -1), u = v, And(0 < x,x <
1), y = x+1, 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, 6, 5], [And(-2^(1/2) < v,v < -1), u = v, And(0 < x,x < 1), y = x+1, 1 < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[3, 10, 9, 1, 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]
, [-1, -1], [0, 0]]]], [[3, 12, 7, 5, 1], [And(-2^(1/2) < v,v < -1), u = -v, 1
< x, And(x < y,y < x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [5/2, 5/2], [
-2, -2]]]], [[3, 12, 7, 5, 2], [And(-2^(1/2) < v,v < -1), u = -v, 1 < x, And(x
< y,y < x+1), z = -(y-x)^(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, 5, 3], [And(-2^(1/2) < v,v < -1), u
= -v, 1 < x, And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [2, 2], [5/2, 5/2], [0, 0]]]], [[3, 12, 7, 5, 4], [And(-2^(1
/2) < v,v < -1), u = -v, 1 < x, And(x < y,y < x+1), z = (y-x)^(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, 5, 5], [And(-2^(1/2) < v,v < -1), u = -v, 1 < x, And(x < y,y < x+1), (y
-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [2, 2], [5/2, 5/2], [2, 2]]]], [[3, 14, 7,
1, 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], [-1, -1], [0, 0]]]], [[3, 16, 4, 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, 4, 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, 4, 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, 1, 8, 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, 8, 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,
8, 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, 8, 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, 8, 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, 5, 1], [v = -1, u = -2^(1/2), 1 < x,
And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1482911/
1048576, -741455/524288], [2, 2], [3, 3], [-2, -2]]]], [[4, 4, 9, 5, 2], [v =
-1, u = -2^(1/2), 1 < x, And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain
, [[-1, -1], [-1482911/1048576, -741455/524288], [2, 2], [3, 3], [-1, -1]]]],
[[4, 4, 9, 5, 3], [v = -1, u = -2^(1/2), 1 < x, And(x < y,y < x+2), And(-(y-x)
^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-1482911/1048576, -\
741455/524288], [2, 2], [3, 3], [0, 0]]]], [[4, 4, 9, 5, 4], [v = -1, u = -2^(
1/2), 1 < x, And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[-1, -1],
[-1482911/1048576, -741455/524288], [2, 2], [3, 3], [1, 1]]]], [[4, 4, 9, 5, 5
], [v = -1, u = -2^(1/2), 1 < x, And(x < y,y < x+2), (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [2, 2], [3, 3],
[2, 2]]]], [[4, 10, 7, 2, 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, 7, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 5, 1], [And(-1 < v,v < 0), u < -
(v^2+2)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2
) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y
< 0), (y-x)^(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], [-2583195/1048576, -1291597/524288], [-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], [-2583195
/1048576, -1291597/524288], [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], [-2583195/1048576, -1291597/524288], [1, 1]
]]], [[5, 12, 7, 7, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(0 < x,x < 1
), And(x < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2,
3/2], [1/2, 1/2], [2, 2], [-3, -3]]]], [[5, 12, 7, 7, 2], [And(-1 < v,v < 0),
u = (v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), z = -(y-x)^(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, 7, 3], [And(-1 < v,v < 0), u = (v^2+2
)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^
(1/2))], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1/2, 1/2], [2, 2], [0, 0]
]]], [[5, 12, 7, 7, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(0 < x,x < 1
), And(x < y,y < x+3), z = (y-x)^(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, 7,
5], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3
), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1/2, 1/2], [2
, 2], [3, 3]]]], [[6, 1, 4, 6, 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
, 6, 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, 6, 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, 6, 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, 6, 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, 4, 1, 1], [v = 0, And(-1
< u,u < 0), x = -1, y < -1, z = z], [regular_chain, [[0, 0], [-1/2, -1/2], [-1
, -1], [-2, -2], [0, 0]]]], [[6, 7, 4, 5, 1], [v = 0, And(0 < u,u < 1), x = -1
, And(-u^2 < y,y < 0), z < -(y+1)^(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(-u^2 < y,y < 0), z = -(y+1)^(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(-u^2 < y,y < 0), And(-(y+1)
^(1/2) < z,z < (y+1)^(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(-u^2 < y,y < 0), z = (y+1)^(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(-u^2 < y,y < 0), (y+1)^(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 < -(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, 8, 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, 8, 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, 8, 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, 8, 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, 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 < -(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,
7, 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, 0 < y, 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, 7, 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, 0 < y, 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, 7, 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, 0 < y, 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, 7, 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, 0 < y, (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, 5, 7, 1], [And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x
< -u^2+v^2-1), And(0 < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain,
[[1/2, 1/2], [0, 0], [-7/8, -7/8], [3/16, 3/16], [-3, -3]]]], [[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(0 < y,
y < x-u^2+v^2+1), z = -(y-x)^(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, 7, 3],
[And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1), And(0 < y,y
< x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2,
1/2], [0, 0], [-7/8, -7/8], [3/16, 3/16], [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(0 < y,y < x-u^2
+v^2+1), z = (y-x)^(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, 7, 5], [And(0 < v,
v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1), And(0 < y,y < x-u^2+v^2
+1), (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [3/
16, 3/16], [3, 3]]]], [[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 = u^2-v^2-1, z < 0], [regular_chain, [[1/2, 1/2],
[1696631/2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152], [-\
624419/1048576, -1248837/2097152], [-1, -1]]]], [[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 = u^2-v^2-1, z = 0], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-624419/
1048576, -1248837/2097152], [-624419/1048576, -1248837/2097152], [0, 0]]]], [[
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 = u^2-v^2-1, 0 < z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-624419/1048576, -1248837/2097152], [-624419/1048576, -\
1248837/2097152], [1, 1]]]], [[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
< -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144],
[-1815885/1048576, -1815885/1048576], [2, 2], [-3, -3]]]], [[7, 11, 3, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-v^2+
x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9, 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), u^2-v^2+x+1 < y,
z = (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1815885/1048576,
-1815885/1048576], [2, 2], [3, 3]]]], [[7, 13, 1, 3, 1], [And(0 < v,v < 1), (v
^2+2)^(1/2) < u, x < -u^2+v^2-1, And(x-u^2+v^2+1 < y,y < x), z = z], [
regular_chain, [[1/2, 1/2], [3, 3], [-11, -11], [-119/8, -119/8], [0, 0]]]], [
[8, 3, 7, 1, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2),
y < x-u^2+2, z = z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [248903/1048576, 248903/1048576], [-2, -2], [0, 0]]]], [[8, 5, 6, 2,
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], [-1138531/2097152, -569265/1048576], [-1, -1]]]], [
[8, 5, 6, 2, 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], [-1138531/2097152, -569265/1048576], [0, 0]]]], [[8
, 5, 6, 2, 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], [-1138531/2097152, -569265/1048576], [1, 1]]]], [[8
, 11, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 13, 4, 9, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)),
x = -1, u^2-1 < y, z < -(y+1)^(1/2)], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [-1, -1], [3, 3], [-3, -3]]]], [[8, 13, 4, 9, 2], [
v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, u^2-1 < y, z = -(y+1)^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1, -1], [3, 3],
[-2, -2]]]], [[8, 13, 4, 9, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -1,
u^2-1 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [-1, -1], [3, 3], [0, 0]]]], [[8, 13, 4, 9,
4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, u^2-1 < y, z = (y+1)^(1/2)],
[regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1, -1], [3, 3],
[2, 2]]]], [[8, 13, 4, 9, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, u^
2-1 < y, (y+1)^(1/2) < z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [-1, -1], [3, 3], [3, 3]]]], [[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 < 2*u^2-2*v^2), z
< -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3, -3], [6860721/1048576, 3430361/524288], [5669829/524288, 5669829/524288],
[-4, -4]]]], [[9, 1, 10, 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^2-1 < y,y < 2*u^2-2*v^2), z = -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [6860721/1048576
, 3430361/524288], [5669829/524288, 5669829/524288], [-2167143/1048576, -\
1083571/524288]]]], [[9, 1, 10, 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^2-1 < y,y < 2*u^2-2*v^2), And(-(y-u^2+v^2+1)^(1
/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [6860721/1048576, 3430361/524288], [5669829/524288, 
5669829/524288], [0, 0]]]], [[9, 1, 10, 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^2-1 < y,y < 2*u^2-2*v^2), z = (y-u^2+v^
2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [
6860721/1048576, 3430361/524288], [5669829/524288, 5669829/524288], [1083571/
524288, 2167143/1048576]]]], [[9, 1, 10, 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^2-1 < y,y < 2*u^2-2*v^2), (y-u^2+v^2+1
)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [
6860721/1048576, 3430361/524288], [5669829/524288, 5669829/524288], [4, 4]]]],
[[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 < 0, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [501965/1048576, 
250983/524288], [-1, -1], [0, 0]]]], [[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), u^2-v^2+x+1 < y, z
< -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701
/1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [2, 2], [-3,
-3]]]], [[9, 13, 5, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) <
z,z < (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, z =
(y-x)^(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, 9, 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), u^2-v^2+x+1 < y, (y
-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [2, 2], [3, 3
]]]], [[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(x-u^2+v^2+1 < y,y < x), z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-1/2, -1/2], [-49617317/67108864, -49617317/67108864], [0, 0]]]], [[
10, 1, 11, 1, 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], [-1, -1],
[0, 0]]]], [[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], [505467/
1048576, 126367/262144], [-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], [505467/1048576, 126367/262144], [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], [505467/1048576, 126367/
262144], [1, 1]]]], [[10, 9, 6, 1, 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], [-2, -2], [0, 0]]]], [[10, 11, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 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-1), z < -(y-x)^(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, 7, 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-1), z = -(y-x)^(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, 7, 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-1), And(-(y-x)^(1/2) < z,
z < (y-x)^(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, 7, 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-1), z = (y-x)^(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, 7, 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-1), (y-x)^(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, 5, 1, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2),
And(-1 < x,x < 0), y < x-u^2+3, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [-2, -2],
[0, 0]]]], [[10, 18, 9, 6, 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, 6, 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, 6, 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, 6, 7, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 0, u^2-v^2+1 <
y, z < -y^(1/2)], [regular_chain, [[3, 3], [-5, -5], [0, 0], [18, 18], [-6, -6
]]]], [[11, 1, 6, 7, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 0, u^2-v^2+1 <
y, z = -y^(1/2)], [regular_chain, [[3, 3], [-5, -5], [0, 0], [18, 18], [-\
1112183/262144, -4448731/1048576]]]], [[11, 1, 6, 7, 3], [2^(1/2) < v, u < -(v
^2+2)^(1/2), x = 0, u^2-v^2+1 < y, And(-y^(1/2) < z,z < y^(1/2))], [
regular_chain, [[3, 3], [-5, -5], [0, 0], [18, 18], [0, 0]]]], [[11, 1, 6, 7,
4], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 0, u^2-v^2+1 < y, z = y^(1/2)], [
regular_chain, [[3, 3], [-5, -5], [0, 0], [18, 18], [4448731/1048576, 1112183/
262144]]]], [[11, 1, 6, 7, 5], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 0, u^2-v^
2+1 < y, y^(1/2) < z], [regular_chain, [[3, 3], [-5, -5], [0, 0], [18, 18], [6
, 6]]]], [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1579769/2097152, -\
1579769/2097152], [388037/1048576, 388037/1048576], [-3, -3]]]], [[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(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [388037/
1048576, 388037/1048576], [-1111369/1048576, -138921/131072]]]], [[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(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1579769/2097152, -\
1579769/2097152], [388037/1048576, 388037/1048576], [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(0 < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [388037/
1048576, 388037/1048576], [138921/131072, 1111369/1048576]]]], [[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(0 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [388037/
1048576, 388037/1048576], [3, 3]]]], [[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 = -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], [133001/131072, 1064009/1048576], [-3, -3]]]], [[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 =
-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], [133001/131072,
1064009/1048576], [-1287385/1048576, -160923/131072]]]], [[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 = -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], [
133001/131072, 1064009/1048576], [0, 0]]]], [[11, 7, 6, 6, 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], [133001/131072, 1064009/1048576], [160923/
131072, 1287385/1048576]]]], [[11, 7, 6, 6, 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], [133001/131072, 1064009/1048576], [3, 3]]]], [[11, 12, 7, 7,
1], [2^(1/2) < v, u = (v^2-2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), z <
-(y-x)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [1/2, 1
/2], [2, 2], [-3, -3]]]], [[11, 12, 7, 7, 2], [2^(1/2) < v, u = (v^2-2)^(1/2),
And(0 < x,x < 1), And(x < y,y < x+3), z = -(y-x)^(1/2)], [regular_chain, [[3,
3], [2774271/1048576, 10837/4096], [1/2, 1/2], [2, 2], [-1284239/1048576, -\
642119/524288]]]], [[11, 12, 7, 7, 3], [2^(1/2) < v, u = (v^2-2)^(1/2), And(0
< x,x < 1), And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [1/2, 1/2], [2, 2], [0,
0]]]], [[11, 12, 7, 7, 4], [2^(1/2) < v, u = (v^2-2)^(1/2), And(0 < x,x < 1),
And(x < y,y < x+3), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [1/2, 1/2], [2, 2], [642119/524288, 1284239/1048576]]]],
[[11, 12, 7, 7, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), And(0 < x,x < 1), And(x <
y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [2774271/1048576, 10837
/4096], [1/2, 1/2], [2, 2], [3, 3]]]], [[11, 14, 6, 2, 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, 2, 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, 2, 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, 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, 3 < y, z < -
y^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [0, 0],
[4, 4], [-3, -3]]]], [[11, 20, 6, 7, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), x =
0, 3 < y, z = -y^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/
524288], [0, 0], [4, 4], [-2, -2]]]], [[11, 20, 6, 7, 3], [2^(1/2) < v, u = (v
^2+2)^(1/2), x = 0, 3 < y, 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, 7, 4], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 0, 3 < y, z = y^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [0, 0], [4, 4], [2,
2]]]], [[11, 20, 6, 7, 5], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 0, 3 < y, y^(1
/2) < z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [0, 0],
[4, 4], [3, 3]]]], [[1, 1, 8, 9, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = 1,
u^2-v^2+2 < y, z < -(y-1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [1, 1],
[19, 19], [-6, -6]]]], [[1, 1, 8, 9, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), x
= 1, u^2-v^2+2 < y, z = -(y-1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [1
, 1], [19, 19], [-1112183/262144, -4448731/1048576]]]], [[1, 1, 8, 9, 3], [v <
-2^(1/2), u < -(v^2+2)^(1/2), x = 1, u^2-v^2+2 < y, 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, 9, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = 1, u^2-v^2+2 < y, z
= (y-1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [1, 1], [19, 19], [
4448731/1048576, 1112183/262144]]]], [[1, 1, 8, 9, 5], [v < -2^(1/2), u < -(v^
2+2)^(1/2), x = 1, u^2-v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[-3, -3],
[-5, -5], [1, 1], [19, 19], [6, 6]]]], [[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 = z]
, [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [0, 0], [-\
129511/524288, -129511/524288], [0, 0]]]], [[1, 7, 9, 1, 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], [-1, -1], [0, 0
]]]], [[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 = 0, z = z], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [533035/1048576, 133259/262144], [0, 0], [0, 0]]]
], [[1, 14, 9, 1, 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], [-1, -1],
[0, 0]]]], [[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 = x, z < 0], [regular_chain, [[-3, -3], [403851/131072, 403851
/131072], [-3, -3], [-3, -3], [-1, -1]]]], [[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 = x, z = 0], [regular_chain,
[[-3, -3], [403851/131072, 403851/131072], [-3, -3], [-3, -3], [0, 0]]]], [[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
= x, 0 < z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-3, -\
3], [-3, -3], [1, 1]]]], [[1, 20, 9, 2, 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, 6, 3, 1], [v = -2^(1/2), u < -2, x
= 0, And(-u^2+3 < y,y < 0), z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [0, 0], [-3, -3], [0, 0]]]], [[2, 10, 6, 5, 1], [v =
-2^(1/2), u = 0, x = 0, And(0 < y,y < 3), z < -y^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [0, 0], [3/2, 3/2], [-3, -3]]]], [[2
, 10, 6, 5, 2], [v = -2^(1/2), u = 0, x = 0, And(0 < y,y < 3), 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, 5, 3], [v = -2^(1/2), u
= 0, x = 0, And(0 < y,y < 3), 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, 5, 4], [v = -2^(1/2), u = 0, x = 0, And(0 < y,y < 3), 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, 5, 5], [v = -2^(1/2), u =
0, x = 0, And(0 < y,y < 3), y^(1/2) < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [0, 0], [0, 0], [3/2, 3/2], [3, 3]]]], [[2, 12, 4, 7, 1], [v
= -2^(1/2), u = 1, x = -1, 1 < y, z < -(y+1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [-1, -1], [2, 2], [-3, -3]]]], [[2,
12, 4, 7, 2], [v = -2^(1/2), u = 1, x = -1, 1 < y, z = -(y+1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1, -1], [2, 2],
[-1816187/1048576, -3632373/2097152]]]], [[2, 12, 4, 7, 3], [v = -2^(1/2), u =
1, x = -1, 1 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [-1, -1], [2, 2], [-1/4194304, -1/
4194304]]]], [[2, 12, 4, 7, 4], [v = -2^(1/2), u = 1, x = -1, 1 < y, z = (y+1)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1, -1]
, [2, 2], [908093/524288, 1816187/1048576]]]], [[2, 12, 4, 7, 5], [v = -2^(1/2
), u = 1, x = -1, 1 < y, (y+1)^(1/2) < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [1, 1], [-1, -1], [2, 2], [3, 3]]]], [[2, 16, 8, 2, 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, 5, 7, 1], [v = -2^(1/2), u = 2, And(-1 < x,x < 0), And(0 < y
,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [2, 2], [-1/2, -1/2], [5/4, 5/4], [-3, -3]]]], [[2, 18, 5, 7, 2], [v
= -2^(1/2), u = 2, And(-1 < x,x < 0), And(0 < y,y < x+3), z = -(y-x)^(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, 7, 3], [v = -2^(1/2),
u = 2, And(-1 < x,x < 0), And(0 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1/2, -1
/2], [5/4, 5/4], [0, 0]]]], [[2, 18, 5, 7, 4], [v = -2^(1/2), u = 2, And(-1 <
x,x < 0), And(0 < y,y < x+3), z = (y-x)^(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, 7, 5], [v = -2^(1/2), u = 2, And(-1 < x,x < 0), 
And(0 < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [2, 2], [-1/2, -1/2], [5/4, 5/4], [3, 3]]]], [[3, 4, 5, 7, 1],
[And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, z <
-(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915
/262144, -3287319/2097152], [-1/2, -1/2], [3, 3], [-3, -3]]]], [[3, 4, 5, 7, 2
], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y,
z = -(y-x)^(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, 7, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(
1/2), And(-1 < x,x < 0), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-1/2, -1/2], [3, 3], [0, 0]]]], [[3, 4, 5, 7, 4], [And(-2^(
1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, z = (y-x)^(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, 7, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-1 < x,x
< 0), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-410915/262144, -3287319/2097152], [-1/2, -1/2], [3, 3], [3, 3]]]],
[[3, 6, 5, 3, 1], [And(-2^(1/2) < v,v < -1), u = v, And(0 < x,x < 1), And(0 <
y,y < x), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[3, 10
, 8, 3, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = 1, And(0 < y,y <
1), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/
524288, 708939/1048576], [1, 1], [1/2, 1/2], [0, 0]]]], [[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-1, 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, 9,
1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, 0 < y, z < -(y-x)^(1/2)
], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-4, -4],
[1, 1], [-4, -4]]]], [[4, 3, 1, 9, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2))
, x < -u^2, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [-4, -4], [1, 1], [-146543/65536, -2344687/1048576
]]]], [[4, 3, 1, 9, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, 0 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [-4, -4], [1, 1], [0, 0]]]], [[4, 3, 1, 9,
4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, 0 < y, z = (y-x)^(1/2)]
, [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-4, -4], [
1, 1], [2344687/1048576, 146543/65536]]]], [[4, 3, 1, 9, 5], [v = -1, And(-3^(
1/2) < u,u < -2^(1/2)), x < -u^2, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-\
1, -1], [-6598195/4194304, -6598195/4194304], [-4, -4], [1, 1], [4, 4]]]], [[4
, 5, 1, 3, 1], [v = -1, And(-2^(1/2) < u,u < -1), x < -u^2, And(x < y,y < x-u^
2+2), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-3, -3], [-5722191/2097152, -5722191/2097152], [-2, -2]]]],
[[4, 5, 1, 3, 2], [v = -1, And(-2^(1/2) < u,u < -1), x < -u^2, And(x < y,y < x
-u^2+2), z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-3, -3], [-5722191/2097152, -5722191/2097152], [-273157/
524288, -1092627/2097152]]]], [[4, 5, 1, 3, 3], [v = -1, And(-2^(1/2) < u,u <
-1), x < -u^2, And(x < y,y < x-u^2+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3, -3], [-\
5722191/2097152, -5722191/2097152], [-1/4194304, -1/4194304]]]], [[4, 5, 1, 3,
4], [v = -1, And(-2^(1/2) < u,u < -1), x < -u^2, And(x < y,y < x-u^2+2), z = (
y-x)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576],
[-3, -3], [-5722191/2097152, -5722191/2097152], [546313/1048576, 273157/524288
]]]], [[4, 5, 1, 3, 5], [v = -1, And(-2^(1/2) < u,u < -1), x < -u^2, And(x < y
,y < x-u^2+2), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576,
-1265743/1048576], [-3, -3], [-5722191/2097152, -5722191/2097152], [2, 2]]]],
[[4, 10, 7, 5, 1], [v = -1, u = 1, 1 < x, And(x < y,y < x+1), z < -(y-x)^(1/2)
], [regular_chain, [[-1, -1], [1, 1], [2, 2], [5/2, 5/2], [-2, -2]]]], [[4, 10
, 7, 5, 2], [v = -1, u = 1, 1 < x, And(x < y,y < x+1), z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [1, 1], [2, 2], [5/2, 5/2], [-1482911/2097152, -\
741455/1048576]]]], [[4, 10, 7, 5, 3], [v = -1, u = 1, 1 < x, And(x < y,y < x+
1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [1, 1],
[2, 2], [5/2, 5/2], [0, 0]]]], [[4, 10, 7, 5, 4], [v = -1, u = 1, 1 < x, And(x
< y,y < x+1), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [2, 2], [5/
2, 5/2], [741455/1048576, 46341/65536]]]], [[4, 10, 7, 5, 5], [v = -1, u = 1,
1 < x, And(x < y,y < x+1), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [1, 1]
, [2, 2], [5/2, 5/2], [2, 2]]]], [[4, 12, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 = x-u^2+v^2+1, z = z], [regular_chain, [[-1/2, -\
1/2], [-343151/262144, -343151/262144], [-1815885/1048576, -1815885/1048576],
[-287741/131072, -2301927/1048576], [0, 0]]]], [[5, 12, 7, 2, 1], [And(-1 < v,
v < 0), u = (v^2+2)^(1/2), And(0 < x,x < 1), y = x-1, 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, 5,
1], [v = 0, u < -2^(1/2), x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 <
y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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(x < y,y < x-u^
2+1), z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8],
[-3/4, -3/4], [-2, -2]]]], [[6, 5, 3, 3, 2], [v = 0, And(-1 < u,u < 0), And(-u
^2-1 < x,x < -1), And(x < y,y < x-u^2+1), z = -(y-x)^(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, 3, 3], [v = 0, And(-1 < u,u < 0), And(-u^2-1 < x,x < -\
1), And(x < y,y < x-u^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8], [-3/4, -3/4], [0, 0]]]], [
[6, 5, 3, 3, 4], [v = 0, And(-1 < u,u < 0), And(-u^2-1 < x,x < -1), And(x < y,
y < x-u^2+1), z = (y-x)^(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, 3, 5], [v =
0, And(-1 < u,u < 0), And(-u^2-1 < x,x < -1), And(x < y,y < x-u^2+1), (y-x)^(1
/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8], [-3/4, -3/4], [
2, 2]]]], [[6, 7, 4, 2, 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, 2, 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, 2, 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]]]], [[7, 1, 5, 3, 1], [And(0 < v,v < 1), u < -(v^2+
2)^(1/2), And(-1 < x,x < 0), And(x-u^2+v^2+1 < y,y < x), z = z], [
regular_chain, [[1/2, 1/2], [-3, -3], [-1/2, -1/2], [-35/8, -35/8], [0, 0]]]],
[[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 = 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, 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 = 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, 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 = 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, 6, 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, 6, 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, 4, 9, 1], [And(0 < v,v < 1), And(-v < u,u < v), x =
-1, -u^2+v^2 < y, z < -(y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-1,
-1], [2, 2], [-3, -3]]]], [[7, 7, 4, 9, 2], [And(0 < v,v < 1), And(-v < u,u <
v), x = -1, -u^2+v^2 < y, z = -(y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0,
0], [-1, -1], [2, 2], [-1816187/1048576, -3632373/2097152]]]], [[7, 7, 4, 9, 3
], [And(0 < v,v < 1), And(-v < u,u < v), x = -1, -u^2+v^2 < y, And(-(y+1)^(1/2
) < z,z < (y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [2, 2]
, [-1/4194304, -1/4194304]]]], [[7, 7, 4, 9, 4], [And(0 < v,v < 1), And(-v < u
,u < v), x = -1, -u^2+v^2 < y, z = (y+1)^(1/2)], [regular_chain, [[1/2, 1/2],
[0, 0], [-1, -1], [2, 2], [908093/524288, 1816187/1048576]]]], [[7, 7, 4, 9, 5
], [And(0 < v,v < 1), And(-v < u,u < v), x = -1, -u^2+v^2 < y, (y+1)^(1/2) < z
], [regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [2, 2], [3, 3]]]], [[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 = 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], [
636235/1048576, 159059/262144], [-3, -3]]]], [[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 = 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], [636235/1048576, 
159059/262144], [-19417/16384, -1242687/1048576]]]], [[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 = u^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], [636235/1048576, 159059/262144], [0, 0]]]], [[7, 9, 5, 8, 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], [636235/1048576, 
159059/262144], [1242687/1048576, 19417/16384]]]], [[7, 9, 5, 8, 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], [636235/1048576, 
159059/262144], [3, 3]]]], [[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(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And
(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 <
y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = x, z < 0], [
regular_chain, [[1/2, 1/2], [3, 3], [-11, -11], [-11, -11], [-1, -1]]]], [[7,
13, 1, 4, 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, 4, 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, 8, 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], [2843861/1048576, 1421931/524288],
[-3, -3]]]], [[8, 3, 7, 8, 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], [2843861/1048576, 1421931/
524288], [-1649549/1048576, -3299097/2097152]]]], [[8, 3, 7, 8, 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], [2843861/1048576, 1421931/524288], [-1/4194304, -1/
4194304]]]], [[8, 3, 7, 8, 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], [2843861/1048576, 1421931
/524288], [412387/262144, 1649549/1048576]]]], [[8, 3, 7, 8, 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], [2843861/1048576, 1421931/524288], [3, 3]]]], [[8, 5, 6, 5, 1
], [v = 1, And(-2^(1/2) < u,u < -1), x = u^2-2, And(0 < y,y < 2*u^2-2), z < -(
y-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576]
, [-1138531/2097152, -569265/1048576], [958621/2097152, 958621/2097152], [-2,
-2]]]], [[8, 5, 6, 5, 2], [v = 1, And(-2^(1/2) < u,u < -1), x = u^2-2, And(0 <
y,y < 2*u^2-2), z = -(y-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-1138531/2097152, -569265/1048576], [958621/
2097152, 958621/2097152], [-2199023028127/2199023255552, -8796092112507/
8796093022208]]]], [[8, 5, 6, 5, 3], [v = 1, And(-2^(1/2) < u,u < -1), x = u^2
-2, And(0 < y,y < 2*u^2-2), And(-(y-u^2+2)^(1/2) < z,z < (y-u^2+2)^(1/2))], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1138531/
2097152, -569265/1048576], [958621/2097152, 958621/2097152], [-7478907/
17592186044416, -7478907/17592186044416]]]], [[8, 5, 6, 5, 4], [v = 1, And(-2^
(1/2) < u,u < -1), x = u^2-2, And(0 < y,y < 2*u^2-2), z = (y-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1138531/
2097152, -569265/1048576], [958621/2097152, 958621/2097152], [1048575/1048576,
1]]]], [[8, 5, 6, 5, 5], [v = 1, And(-2^(1/2) < u,u < -1), x = u^2-2, And(0 <
y,y < 2*u^2-2), (y-u^2+2)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-1138531/2097152, -569265/1048576], [958621/
2097152, 958621/2097152], [2, 2]]]], [[8, 11, 6, 2, 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], [-1138531/
2097152, -569265/1048576], [-1, -1]]]], [[8, 11, 6, 2, 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], [-1138531/
2097152, -569265/1048576], [0, 0]]]], [[8, 11, 6, 2, 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], [-1138531/
2097152, -569265/1048576], [1, 1]]]], [[8, 13, 5, 1, 1], [v = 1, And(2^(1/2) <
u,u < 3^(1/2)), And(-1 < x,x < 0), y < x-u^2+2, z = z], [regular_chain, [[1, 1
], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[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-u^2+v^2+1 < y,y < x), 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], [501965/1048576, 250983/524288], [-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], [501965/1048576, 250983/524288], [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], [501965
/1048576, 250983/524288], [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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 < 0
), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-
(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1
)^(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, 2*u^2-4 < y, z < -(y-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [6, 6], [15, 15],
[-4, -4]]]], [[10, 1, 10, 7, 2], [v = 2^(1/2), u < -2, x = u^2-3, 2*u^2-4 < y,
z = -(y-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3,
-3], [6, 6], [15, 15], [-3, -3]]]], [[10, 1, 10, 7, 3], [v = 2^(1/2), u < -2,
x = u^2-3, 2*u^2-4 < y, And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+3)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [6, 6], [15, 15],
[0, 0]]]], [[10, 1, 10, 7, 4], [v = 2^(1/2), u < -2, x = u^2-3, 2*u^2-4 < y, z
= (y-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3
], [6, 6], [15, 15], [3, 3]]]], [[10, 1, 10, 7, 5], [v = 2^(1/2), u < -2, x =
u^2-3, 2*u^2-4 < y, (y-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [6, 6], [15, 15], [4, 4]]]], [[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-1, z < -(
u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [505467/2097152, 505467/2097152], [356919/131072,
2855353/1048576], [-3, -3]]]], [[10, 3, 7, 8, 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], [356919/131072, 2855353/1048576],
[-825991/524288, -3303963/2097152]]]], [[10, 3, 7, 8, 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], [356919/
131072, 2855353/1048576], [-1/4194304, -1/4194304]]]], [[10, 3, 7, 8, 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], [356919/131072,
2855353/1048576], [1651981/1048576, 825991/524288]]]], [[10, 3, 7, 8, 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], [356919/131072,
2855353/1048576], [3, 3]]]], [[10, 9, 5, 7, 1], [v = 2^(1/2), And(-1 < u,u < 0
), And(-1 < x,x < 0), And(0 < y,y < x-u^2+3), z < -(y-x)^(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, 7, 2], [v = 2^(1/2), And(-1 < u,u < 0), 
And(-1 < x,x < 0), And(0 < y,y < x-u^2+3), z = -(y-x)^(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, 7, 3], [v = 2^(1/2), And(-1 <
u,u < 0), And(-1 < x,x < 0), And(0 < y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z <
(y-x)^(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, 7, 4], [v = 2^(1/2), And(-1
< u,u < 0), And(-1 < x,x < 0), And(0 < y,y < x-u^2+3), z = (y-x)^(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, 7, 5], [v = 2^(1/
2), And(-1 < u,u < 0), And(-1 < x,x < 0), And(0 < y,y < x-u^2+3), (y-x)^(1/2)
< z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-1/2,
-1/2], [9/8, 9/8], [3, 3]]]], [[10, 11, 2, 6, 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
, 6, 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, 6, 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, 6, 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, 6, 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, 5, 6, 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, 6, 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
, 6, 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, 6, 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, 6, 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, 5, 1], [v = 2^(1/2), And(3^(
1/2) < u,u < 2), x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) <
z,z < (y+1)^(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(-1 < y,y < 0), z
= (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = x, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9, -9], [-9, -9],
[-1, -1]]]], [[10, 19, 1, 4, 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, 4, 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, 3, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(0 < x
,x < 1), And(x-u^2+v^2+1 < y,y < 0), z = z], [regular_chain, [[3, 3], [-5, -5]
, [1/2, 1/2], [-29/4, -29/4], [0, 0]]]], [[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(u^2-v^2-1 < y,y < 0), z < -(y-u
^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [
-531193/1048576, -1062385/2097152], [-1062385/4194304, -1062385/4194304], [-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(u^2-v^2-1 < y,y < 0), z = -(y-u^2+v^2+1)^(1/2)], [regular_chain,
[[3, 3], [-403851/131072, -403851/131072], [-531193/1048576, -1062385/2097152]
, [-1062385/4194304, -1062385/4194304], [-1055459/2097152, -527729/1048576]]]]
, [[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(u^2-v^2-1 < y,y < 0), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(
1/2))], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-531193/
1048576, -1062385/2097152], [-1062385/4194304, -1062385/4194304], [0, 0]]]], [
[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(u^2-v^2-1 < y,y < 0), z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [
-403851/131072, -403851/131072], [-531193/1048576, -1062385/2097152], [-\
1062385/4194304, -1062385/4194304], [527729/1048576, 263865/524288]]]], [[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(
u^2-v^2-1 < y,y < 0), (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-531193/1048576, -1062385/2097152], [-1062385
/4194304, -1062385/4194304], [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, -2*u^2+2*v^2 < y, 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, 7, 2], [2^(1
/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, -2*u^2+2*v^2 < y, 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, 7, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^
(1/2)), x = -u^2+v^2-1, -2*u^2+2*v^2 < y, 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, 7, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+
v^2-1, -2*u^2+2*v^2 < y, 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, 7, 5], [2^(1/2) < v, And(-v <
u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, -2*u^2+2*v^2 < y, (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, 8, 5, 1], [2^(1/2) < v,
u = (v^2-2)^(1/2), x = 1, And(1 < y,y < 4), z < -(y-1)^(1/2)], [regular_chain,
[[3, 3], [2774271/1048576, 10837/4096], [1, 1], [5/2, 5/2], [-3, -3]]]], [[11,
12, 8, 5, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 3], [2^(1/2)
< v, u = (v^2-2)^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 4], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 1
, And(1 < y,y < 4), 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, 5, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 1, And(1 < y,y < 4),
(y-1)^(1/2) < z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [1,
1], [5/2, 5/2], [3, 3]]]], [[11, 14, 6, 5, 1], [2^(1/2) < v, u = (v^2-1)^(1/2)
, x = 0, 2 < y, z < -y^(1/2)], [regular_chain, [[3, 3], [741455/262144, 
2965821/1048576], [0, 0], [3, 3], [-3, -3]]]], [[11, 14, 6, 5, 2], [2^(1/2) <
v, u = (v^2-1)^(1/2), x = 0, 2 < y, z = -y^(1/2)], [regular_chain, [[3, 3], [
741455/262144, 2965821/1048576], [0, 0], [3, 3], [-1816187/1048576, -3632373/
2097152]]]], [[11, 14, 6, 5, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 0, 2 < y
, 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, 5,
4], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 0, 2 < y, z = y^(1/2)], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [0, 0], [3, 3], [
908093/524288, 1816187/1048576]]]], [[11, 14, 6, 5, 5], [2^(1/2) < v, u = (v^2
-1)^(1/2), x = 0, 2 < y, y^(1/2) < z], [regular_chain, [[3, 3], [741455/262144
, 2965821/1048576], [0, 0], [3, 3], [3, 3]]]], [[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 = x-u^2+v^2+1,
z = z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-4, -4],
[-4712349/1048576, -1178087/262144], [0, 0]]]], [[11, 20, 7, 1, 1], [2^(1/2) <
v, u = (v^2+2)^(1/2), And(0 < x,x < 1), y < x-1, z = z], [regular_chain, [[3,
3], [3477733/1048576, 1738867/524288], [1/2, 1/2], [-2, -2], [0, 0]]]], [[1, 5
, 4, 7, 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 < -(y+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-1, -1], [517383/2097152, 517383/2097152], [-3, -3]]]], [[1,
5, 4, 7, 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 = -(y+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-1, -1], [517383/2097152, 517383/2097152], [-1170799/1048576,
-585399/524288]]]], [[1, 5, 4, 7, 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(-(y+1)^(1/2) < z,z < (y+1)^(1/2))],
[regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1, -1], [517383
/2097152, 517383/2097152], [0, 0]]]], [[1, 5, 4, 7, 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 = (y+1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1, -1], [517383/
2097152, 517383/2097152], [585399/524288, 1170799/1048576]]]], [[1, 5, 4, 7, 5
], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -1, And(0 < y,y < u^2-v^2
), (y+1)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [-1, -1], [517383/2097152, 517383/2097152], [3, 3]]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-391287/524288, -391287/524288], [0, 0], [-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 = 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, 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 = 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, 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 = 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, 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 = 0, (-x)^(1/2) < z], [regular_chain, [[-3,
-3], [-6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288], [
0, 0], [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 = 0, z < -1], [regular_chain, [[-3, -3], [0, 0], [-1
, -1], [0, 0], [-2, -2]]]], [[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 = 0, z = -1], [regular_chain, [[-3, -3],
[0, 0], [-1, -1], [0, 0], [-1, -1]]]], [[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 = 0, And(-1 < z,z < 1)], [
regular_chain, [[-3, -3], [0, 0], [-1, -1], [0, 0], [0, 0]]]], [[1, 11, 4, 6,
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, 6, 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, 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, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [-4, -4], [1, 1], [-4, -4]]]], [[1, 13, 1, 9, 2], [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
= -(y-x)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288],
[-4, -4], [1, 1], [-146543/65536, -2344687/1048576]]]], [[1, 13, 1, 9, 3], [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, 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [-4, -4], [1, 1], [0, 0]]]], [[1, 13, 1, 9, 4], [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 =
(y-x)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-4
, -4], [1, 1], [2344687/1048576, 146543/65536]]]], [[1, 13, 1, 9, 5], [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, (y-x)^(
1/2) < z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-4, -\
4], [1, 1], [4, 4]]]], [[1, 18, 8, 2, 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, 5, 7, 1], [v < -2^(1/2), u = (v^2+2)^(1/
2), And(-1 < x,x < 0), And(0 < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain,
[[-3, -3], [3477733/1048576, 1738867/524288], [-1/2, -1/2], [5/4, 5/4], [-3, -\
3]]]], [[1, 20, 5, 7, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-1 < x,x < 0),
And(0 < y,y < x+3), z = -(y-x)^(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, 7, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-1 < x,x
< 0), And(0 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1/2, -1/2], [5/
4, 5/4], [0, 0]]]], [[1, 20, 5, 7, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-\
1 < x,x < 0), And(0 < y,y < x+3), z = (y-x)^(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, 7, 5], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-1 <
x,x < 0), And(0 < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [-1/2, -1/2], [5/4, 5/4], [3, 3]]]], [[2, 3,
2, 7, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, 0 < y, 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, 7, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1,
0 < y, 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, 7, 3], [
v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, 0 < y, 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, 7, 4], [v = -2^(1/2)
, And(-2 < u,u < -3^(1/2)), x = -u^2+1, 0 < y, 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, 7, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2))
, x = -u^2+1, 0 < y, (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, 5, 2, 1, 1], [v = -2^(1/2), And(-3^(
1/2) < u,u < v), x = -u^2+1, y < -u^2+1, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-1546383/
1048576, -773191/524288], [-3, -3], [0, 0]]]], [[2, 7, 1, 9, 1], [v = -2^(1/2)
, And(v < u,u < -1), x < u^2-3, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-3, -\
3], [1, 1], [-3, -3]]]], [[2, 7, 1, 9, 2], [v = -2^(1/2), And(v < u,u < -1), x
< u^2-3, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [-1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [-2, -2]]]],
[[2, 7, 1, 9, 3], [v = -2^(1/2), And(v < u,u < -1), x < u^2-3, 0 < y, And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [0, 0]]]], [[
2, 7, 1, 9, 4], [v = -2^(1/2), And(v < u,u < -1), x < u^2-3, 0 < y, z = (y-x)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576
, -1265743/1048576], [-3, -3], [1, 1], [2, 2]]]], [[2, 7, 1, 9, 5], [v = -2^(1
/2), And(v < u,u < -1), x < u^2-3, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[
-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-3,
-3], [1, 1], [3, 3]]]], [[2, 9, 1, 3, 1], [v = -2^(1/2), And(-1 < u,u < 0), x
< u^2-3, And(u^2+x-1 < y,y < x), z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-4, -4], [-35/8, -35/8], [0, 0]]]], [[2, 12, 9,
1, 1], [v = -2^(1/2), u = 1, 1 < x, y < 0, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [2, 2], [-1, -1], [0, 0]]]], [[2, 15, 1, 2,
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, 2, 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, 2, 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, 2, 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 = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -\
3], [-4478937/524288, -8957873/1048576], [-17, -17], [0, 0]]]], [[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, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [1, 1], [-3,
-3]]]], [[3, 7, 1, 9, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1
/2)), x < u^2-v^2-1, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [1
, 1], [-2, -2]]]], [[3, 7, 1, 9, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u <
-(v^2-1)^(1/2)), x < u^2-v^2-1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3, -3], [1, 1], [0, 0]]]], [[3, 7, 1, 9, 4], [And(-2^(1/2)
< v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, 0 < y, z = (y-x)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304
, -3949363/4194304], [-3, -3], [1, 1], [2, 2]]]], [[3, 7, 1, 9, 5], [And(-2^(1
/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, 0 < y, (y-x)^(1
/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-3, -3], [1, 1], [3, 3]]]], [[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(u^2-v^2+x+1 < y,y < x), z = z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [0, 0], [-4, -4], [-4433959/1048576, -4433959/1048576], [0,
0]]]], [[4, 1, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 9, 1], [v = -1, u = -3^(1/2), And(0 < x,x < 1),
x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [1/2, 1/2], [5, 5], [-4, -4]]]], [[4, 2, 7, 9, 2], [v = -1,
u = -3^(1/2), And(0 < x,x < 1), x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[
-1, -1], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [5, 5], [-1112183/
524288, -2224365/1048576]]]], [[4, 2, 7, 9, 3], [v = -1, u = -3^(1/2), And(0 <
x,x < 1), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
1, -1], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [5, 5], [0, 0]]]], [
[4, 2, 7, 9, 4], [v = -1, u = -3^(1/2), And(0 < x,x < 1), x+3 < y, z = (y-x)^(
1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [1/2,
1/2], [5, 5], [2224365/1048576, 1112183/524288]]]], [[4, 2, 7, 9, 5], [v = -1,
u = -3^(1/2), And(0 < x,x < 1), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-\
1, -1], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [5, 5], [4, 4]]]], [
[4, 7, 1, 3, 1], [v = -1, And(-1 < u,u < 0), x < u^2-2, And(x < y,y < u^2+x),
z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3], [-23/8,
-23/8], [-2, -2]]]], [[4, 7, 1, 3, 2], [v = -1, And(-1 < u,u < 0), x < u^2-2,
And(x < y,y < u^2+x), z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/
2], [-3, -3], [-23/8, -23/8], [-46341/131072, -370727/1048576]]]], [[4, 7, 1,
3, 3], [v = -1, And(-1 < u,u < 0), x < u^2-2, And(x < y,y < u^2+x), And(-(y-x)
^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3
], [-23/8, -23/8], [0, 0]]]], [[4, 7, 1, 3, 4], [v = -1, And(-1 < u,u < 0), x
< u^2-2, And(x < y,y < u^2+x), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [-\
1/2, -1/2], [-3, -3], [-23/8, -23/8], [370727/1048576, 46341/131072]]]], [[4,
7, 1, 3, 5], [v = -1, And(-1 < u,u < 0), x < u^2-2, And(x < y,y < u^2+x), (y-x
)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3], [-23/8, -23/8
], [2, 2]]]], [[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-1 < y,y < x), z = z], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1/2, -1/2], [-1,
-1], [0, 0]]]], [[5, 1, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 1, 4, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x < -u^
2+v^2-1, y = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1
/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [-1260655/524288, -\
2521309/1048576], [-2, -2]]]], [[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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)
], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-3, -\
3], [-1260655/524288, -2521309/1048576], [-1618333/2097152, -3236665/4194304]]
]], [[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 = x-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], [-3,
-3], [-1260655/524288, -2521309/1048576], [-1/8388608, -1/8388608]]]], [[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
= x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [-3, -3], [-1260655/524288, -2521309/
1048576], [404583/524288, 809167/1048576]]]], [[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 = x-u^2+v^2+1, (-u^2+v^
2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [-3, -3], [-1260655/524288, -2521309/1048576], [2, 2]]]], [[5, 7, 2,
3, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x = u^2-v^2-1, And(u^2-v^2-1 < y
,y < 2*u^2-2*v^2), z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
0, 0], [-5/4, -5/4], [-7/8, -7/8], [-2, -2]]]], [[5, 7, 2, 3, 2], [And(-1 < v,
v < 0), And(v < u,u < -v), x = u^2-v^2-1, And(u^2-v^2-1 < y,y < 2*u^2-2*v^2),
z = -(y-u^2+v^2+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, 3, 3], [And
(-1 < v,v < 0), And(v < u,u < -v), x = u^2-v^2-1, And(u^2-v^2-1 < y,y < 2*u^2-\
2*v^2), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain
, [[-1/2, -1/2], [0, 0], [-5/4, -5/4], [-7/8, -7/8], [0, 0]]]], [[5, 7, 2, 3,
4], [And(-1 < v,v < 0), And(v < u,u < -v), x = u^2-v^2-1, And(u^2-v^2-1 < y,y
< 2*u^2-2*v^2), z = (y-u^2+v^2+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, 3
, 5], [And(-1 < v,v < 0), And(v < u,u < -v), x = u^2-v^2-1, And(u^2-v^2-1 < y,
y < 2*u^2-2*v^2), (y-u^2+v^2+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, 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], [-848315/1048576, -3393259/
4194304], [-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], [-848315/1048576, -3393259/4194304], [-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], [-848315/
1048576, -3393259/4194304], [-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], [-848315/1048576, -\
3393259/4194304], [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], [-848315/1048576, -\
3393259/4194304], [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(u^2-v^2+x+1 < y,y < 0), z
< -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144]
, [-4, -4], [-3222219/4194304, -3222219/4194304], [-3, -3]]]], [[5, 11, 1, 7,
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 < 0), z = -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/
2], [343151/262144, 343151/262144], [-4, -4], [-3222219/4194304, -3222219/
4194304], [-7540145/4194304, -471259/262144]]]], [[5, 11, 1, 7, 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 < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1
/2, -1/2], [343151/262144, 343151/262144], [-4, -4], [-3222219/4194304, -\
3222219/4194304], [0, 0]]]], [[5, 11, 1, 7, 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 < 0), z
= (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144],
[-4, -4], [-3222219/4194304, -3222219/4194304], [471259/262144, 1885037/
1048576]]]], [[5, 11, 1, 7, 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 < 0), (y-x)^(1/2) < z],
[regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-4, -4], [-\
3222219/4194304, -3222219/4194304], [3, 3]]]], [[6, 1, 7, 5, 1], [v = 0, u < -
2^(1/2), And(0 < x,x < 1), And(0 < y,y < x), 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 < -(u^2+1)^(1/2)], [regular_chain, [[0,
0], [-1265743/1048576, -1265743/1048576], [-1, -1], [763943/524288, 1527887/
1048576], [-3, -3]]]], [[6, 3, 4, 8, 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], [763943/524288, 1527887/1048576], [-410915/262144
, -3287319/2097152]]]], [[6, 3, 4, 8, 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], [763943/524288, 1527887/
1048576], [-1/4194304, -1/4194304]]]], [[6, 3, 4, 8, 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], [763943/524288, 1527887/1048576]
, [1643659/1048576, 410915/262144]]]], [[6, 3, 4, 8, 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], [763943/524288, 1527887/1048576]
, [3, 3]]]], [[6, 9, 2, 5, 1], [v = 0, And(1 < u,u < 2^(1/2)), x = -u^2-1, And
(-u^2-1 < y,y < 0), 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, 5, 2], [v = 0, And(1 < u,u
< 2^(1/2)), x = -u^2-1, And(-u^2-1 < y,y < 0), 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, 5, 3], [v = 0, And(1 < u,u < 2^(1/2)), x = -u^
2-1, And(-u^2-1 < y,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], [-1288231/1048576, -1288231/1048576], [0, 0]]]], [[6, 9, 2,
5, 4], [v = 0, And(1 < u,u < 2^(1/2)), x = -u^2-1, And(-u^2-1 < y,y < 0), 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, 5, 5], [v = 0, And(1 < u,u < 2^
(1/2)), x = -u^2-1, And(-u^2-1 < y,y < 0), (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, 9,
1, 1], [v = 0, u = 2^(1/2), 1 < x, y < 0, z = z], [regular_chain, [[0, 0], [
741455/524288, 1482911/1048576], [2, 2], [-1, -1], [0, 0]]]], [[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 = 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, 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 = 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, 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 = 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, 6, 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, 6, 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, 9, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, u^2-
v^2 < y, z < -(y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-1, -1], [2, 2], [-3, -3]]]], [[7, 5, 4, 9, 2], [And(0 < v,
v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, u^2-v^2 < y, z = -(y+1)^(1/2)]
, [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1, -1],
[2, 2], [-1816187/1048576, -3632373/2097152]]]], [[7, 5, 4, 9, 3], [And(0 < v,
v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, u^2-v^2 < y, 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], [-1/4194304, -1/4194304]]]], [[7, 5, 4, 9,
4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, u^2-v^2 < y, z
= (y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-1, -1], [2, 2], [908093/524288, 1816187/1048576]]]], [[7, 5, 4, 9,
5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, u^2-v^2 < y, (y
+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-1, -1], [2, 2], [3, 3]]]], [[8, 1, 7, 3, 1], [v = 1, u < -3^(1/2),
And(0 < x,x < 1), And(x-u^2+2 < y,y < 0), z = z], [regular_chain, [[1, 1], [-3
, -3], [1/2, 1/2], [-13/4, -13/4], [0, 0]]]], [[8, 3, 4, 2, 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], [-1546383/1048576, -773191/
524288], [0, 0]]]], [[8, 7, 7, 2, 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, 2, 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, 2, 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, 5, 8, 1], [v = 1, And(0 < u,u < 1), And(
-1 < x,x < -u^2), y = x-u^2+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, 8, 2], [v = 1, 
And(0 < u,u < 1), And(-1 < x,x < -u^2), y = x-u^2+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, 8, 3], [v = 1, And(0 < u,u < 1), And(-1 < x,x
< -u^2), y = x-u^2+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, 8, 4], [v = 1, And(0 < u,u < 1), And(-1 < x,x < -u^2), y = x-u^2+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, 8, 5], [v = 1, And(0 < u,u < 1)
, And(-1 < x,x < -u^2), y = x-u^2+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, 1, 9, 1], [v = 1
, 3^(1/2) < u, x < -u^2, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [3
, 3], [-10, -10], [1, 1], [-5, -5]]]], [[8, 15, 1, 9, 2], [v = 1, 3^(1/2) < u,
x < -u^2, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [3, 3], [-10, -10
], [1, 1], [-1738867/524288, -3477733/1048576]]]], [[8, 15, 1, 9, 3], [v = 1,
3^(1/2) < u, x < -u^2, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [3, 3], [-10, -10], [1, 1], [0, 0]]]], [[8, 15, 1, 9,
4], [v = 1, 3^(1/2) < u, x < -u^2, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[
1, 1], [3, 3], [-10, -10], [1, 1], [3477733/1048576, 1738867/524288]]]], [[8,
15, 1, 9, 5], [v = 1, 3^(1/2) < u, x < -u^2, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [3, 3], [-10, -10], [1, 1], [5, 5]]]], [[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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [1/2, 1/2], [9482161/1048576, 4741081/524288], [-4, -4]]]]
, [[9, 1, 7, 8, 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], [9482161/1048576, 4741081/
524288], [-1532401/524288, -24518415/8388608]]]], [[9, 1, 7, 8, 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], [9482161/1048576, 4741081/524288], [-7
/16777216, -7/16777216]]]], [[9, 1, 7, 8, 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], [
9482161/1048576, 4741081/524288], [3064801/1048576, 1532401/524288]]]], [[9, 1
, 7, 8, 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], [9482161/1048576, 4741081/524288], [4,
4]]]], [[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(x < y,y < 0), z < -(y-x)^(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, 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(x < y,y < 0), z = -(y
-x)^(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, 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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(x < y,y < 0), z = (y-x)
^(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, 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(x < y,y < 0), (y-x)^(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, 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(u^2-v^2+x+1 < y,y < x-u^2+v^2+1), z < -(y-x)^(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, 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(u^2-v^2+x+1 < y,y < x-u^2+v^
2+1), z = -(y-x)^(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, 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(u^2-v
^2+x+1 < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(u^2-v^2+x+1 < y,y < x-u^2+v^2+
1), z = (y-x)^(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, 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(u^2-v^
2+x+1 < y,y < x-u^2+v^2+1), (y-x)^(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, 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 = z], [regular_chain, [[1265743/1048576,
1265743/1048576], [0, 0], [0, 0], [-239655/1048576, -239655/1048576], [0, 0]]]
], [[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 = 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, 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 = 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, 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 = 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, 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 = 0, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [501965/1048576, 
250983/524288], [0, 0], [0, 0]]]], [[9, 17, 5, 1, 1], [And(1 < v,v < 2^(1/2)),
(v^2+2)^(1/2) < u, And(-1 < x,x < 0), y < x-u^2+v^2+1, z = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [3, 3], [-1/2, -1/2], [-9, -9], [0, 0]]]]
, [[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 < x, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743
/1048576, -1265743/1048576], [-239655/1048576, -239655/1048576], [-2, -2], [0,
0]]]], [[10, 11, 6, 3, 1], [v = 2^(1/2), And(0 < u,u < 1), x = 0, And(u^2-1 <
y,y < 0), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2
], [0, 0], [-3/8, -3/8], [0, 0]]]], [[10, 13, 5, 2, 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], [-1527887/2097152, -1527887/2097152], [-1, -1]]]],
[[10, 13, 5, 2, 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], [-1527887/
2097152, -1527887/2097152], [0, 0]]]], [[10, 13, 5, 2, 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], [-1527887/2097152, -1527887/2097152], [1, 1]]]], [
[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 = z], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [-1, -1], [-1566621/1048576, -391655/262144], [0, 0]]]], [[
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 < x, z = z], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [-2614535/2097152, -2614535/2097152], [-3, -3], [0, 0]]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608,
-22960369/8388608], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[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 = 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, 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 = 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, 6, 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, 6, 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, 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 < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [
[3, 3], [0, 0], [-10, -10], [-5, -5], [-4, -4]]]], [[11, 11, 2, 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^2-1
< y,y < 0), z = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-10,
-10], [-5, -5], [-146543/65536, -2344687/1048576]]]], [[11, 11, 2, 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^
2-1 < y,y < 0), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [
regular_chain, [[3, 3], [0, 0], [-10, -10], [-5, -5], [0, 0]]]], [[11, 11, 2,
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^2-1 < y,y < 0), z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [
0, 0], [-10, -10], [-5, -5], [2344687/1048576, 146543/65536]]]], [[11, 11, 2,
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^2-1 < y,y < 0), (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [
0, 0], [-10, -10], [-5, -5], [4, 4]]]], [[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+
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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 1, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(1 < x
,x < u^2-v^2-1), y < x-u^2+v^2+1, z = z], [regular_chain, [[-3, -3], [-5, -5],
[8, 8], [-8, -8], [0, 0]]]], [[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, -u^2+v^2+1 < y, z < -y
^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [0,
0], [3, 3], [-3, -3]]]], [[1, 7, 8, 7, 2], [v < -2^(1/2), And(v < u,u < -(v^2-\
1)^(1/2)), x = 0, -u^2+v^2+1 < y, z = -y^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [0, 0], [3, 3], [-1816187/1048576, -\
3632373/2097152]]]], [[1, 7, 8, 7, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), x = 0, -u^2+v^2+1 < y, 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, 7, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2))
, x = 0, -u^2+v^2+1 < y, z = y^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [0, 0], [3, 3], [908093/524288, 1816187/1048576]]]
], [[1, 7, 8, 7, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 0, -u^2
+v^2+1 < y, y^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [0, 0], [3, 3], [3, 3]]]], [[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 < 0, z = z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [533035/
1048576, 133259/262144], [-1, -1], [0, 0]]]], [[1, 14, 9, 2, 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, 3, 1], [v < -
2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(x < y,y < x-u^2+v^
2+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-3, -3], [-720033/262144, -720033/262144], [-2, -2]]]], [[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(x < y
,y < x-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-3, -3], [-720033/262144, -720033/262144], [-527729/
1048576, -1055457/2097152]]]], [[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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-3, -3], [-720033/262144, -720033/262144], [-1/4194304, -1/4194304]]
]], [[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(x < y,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[-3, -3]
, [403851/131072, 403851/131072], [-3, -3], [-720033/262144, -720033/262144],
[32983/65536, 527729/1048576]]]], [[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(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) <
z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-3, -3], [-\
720033/262144, -720033/262144], [2, 2]]]], [[1, 20, 9, 1, 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], [-1, -1], [0, 0]]]], [[2, 1, 6, 2, 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, 6
, 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, 6, 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, 6, 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, 6, 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, 6, 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, 12, 5, 1, 1], [v = -2^(1/2), u = 1, And(-1 < x,x <
0), y < x, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1]
, [-1/2, -1/2], [-2, -2], [0, 0]]]], [[2, 16, 8, 1, 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], [-1, -1], [0, 0]]]], [[2, 18, 5,
6, 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, 6, 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
, 6, 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, 6, 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, 6, 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, 1, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2
+1)^(1/2), x = 0, y < 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-410915/262144, -3287319/2097152], [0, 0], [-1, -1], [0, 0]]]], [[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 = 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
354469/524288, 708939/1048576], [1, 1], [0, 0], [0, 0]]]], [[3, 12, 7, 3, 1],
[And(-2^(1/2) < v,v < -1), u = -v, 1 < x, And(0 < y,y < x), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [2, 2], [1, 1], [0, 0]]]], [[3, 14, 7, 3, 1], [And(-2^(1/2)
< v,v < -1), u = (v^2+1)^(1/2), And(0 < x,x < 1), And(0 < y,y < x), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[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-1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[4, 3, 2, 1, 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], [-4, -4], [0, 0]]]], [[4, 5, 1, 4, 1], [v = -1, And(-2^(1/2) < u,u <
-1), x < -u^2, y = x-u^2+2, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [
-1265743/1048576, -1265743/1048576], [-3, -3], [-2576463/1048576, -1288231/
524288], [-2, -2]]]], [[4, 5, 1, 4, 2], [v = -1, And(-2^(1/2) < u,u < -1), x <
-u^2, y = x-u^2+2, z = -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [-3, -3], [-2576463/1048576, -1288231/524288], [-\
772605/1048576, -1545209/2097152]]]], [[4, 5, 1, 4, 3], [v = -1, And(-2^(1/2)
< u,u < -1), x < -u^2, y = x-u^2+2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2)
)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3, -3],
[-2576463/1048576, -1288231/524288], [-1/4194304, -1/4194304]]]], [[4, 5, 1, 4
, 4], [v = -1, And(-2^(1/2) < u,u < -1), x < -u^2, y = x-u^2+2, z = (-u^2+2)^(
1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3, -\
3], [-2576463/1048576, -1288231/524288], [193151/262144, 772605/1048576]]]], [
[4, 5, 1, 4, 5], [v = -1, And(-2^(1/2) < u,u < -1), x < -u^2, y = x-u^2+2, (-u
^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-3, -3], [-2576463/1048576, -1288231/524288], [2, 2]]]], [[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 < 3), z < -(y-1)^(1/2)], [regular_chain, [[-1, -1], [741455/
524288, 1482911/1048576], [1, 1], [2, 2], [-2, -2]]]], [[4, 12, 8, 5, 2], [v =
-1, u = 2^(1/2), x = 1, And(1 < y,y < 3), z = -(y-1)^(1/2)], [regular_chain, [
[-1, -1], [741455/524288, 1482911/1048576], [1, 1], [2, 2], [-1, -1]]]], [[4,
12, 8, 5, 3], [v = -1, u = 2^(1/2), x = 1, And(1 < y,y < 3), 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, 5, 4], [v = -1, u = 2^(1/2),
x = 1, And(1 < y,y < 3), z = (y-1)^(1/2)], [regular_chain, [[-1, -1], [741455/
524288, 1482911/1048576], [1, 1], [2, 2], [1, 1]]]], [[4, 12, 8, 5, 5], [v = -\
1, u = 2^(1/2), x = 1, And(1 < y,y < 3), (y-1)^(1/2) < z], [regular_chain, [[-\
1, -1], [741455/524288, 1482911/1048576], [1, 1], [2, 2], [2, 2]]]], [[5, 1, 5
, 7, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,
y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3],
[-1/2, -1/2], [37/8, 37/8], [-4, -4]]]], [[5, 1, 5, 7, 2], [And(-1 < v,v < 0),
u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), z = -(y-x)^
(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, 7, 3], [And(-1 < v,v < 0), u
< -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1
/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1/2, -1/
2], [37/8, 37/8], [0, 0]]]], [[5, 1, 5, 7, 4], [And(-1 < v,v < 0), u < -(v^2+2
)^(1/2), And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), z = (y-x)^(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, 7, 5], [And(-1 < v,v < 0), u < -(v^2+2
)^(1/2), And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-1/2, -1/2], [37/8, 37/8], [4, 4]]]],
[[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(x-u^2+v^2+1 < y,y < x), z = z], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1815885/
1048576, -1815885/1048576], [-1029453/524288, -1029453/524288], [0, 0]]]], [[5
, 12, 7, 1, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(0 < x,x < 1), y < x
-1, z = z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1/2, 1/2], [-2, -2], [
0, 0]]]], [[6, 1, 4, 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, 4,
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, 4, 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, 5, 3, 4, 1], [v = 0, And(-1 < u,u < 0), And(-u^2-1 < x,x <
-1), y = x-u^2+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, 4, 2], [v = 0, And(-1 < u,
u < 0), And(-u^2-1 < x,x < -1), y = x-u^2+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, 4, 3], [v = 0, And(-1 < u,u < 0), 
And(-u^2-1 < x,x < -1), y = x-u^2+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, 4, 4], [v = 0, And(-1 < u,u < 0), And(-u^2
-1 < x,x < -1), y = x-u^2+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, 4, 5], [v = 0, And(-1 < u,u < 0), And(-u^2-1 < x,x < -1), y = x-u^2+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, 3, 1], [v = 0, And(0 < u,u < 1), x = -1, And(-\
1 < y,y < -u^2), z < -(y+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-1,
-1], [-5/8, -5/8], [-2, -2]]]], [[6, 7, 4, 3, 2], [v = 0, And(0 < u,u < 1), x
= -1, And(-1 < y,y < -u^2), z = -(y+1)^(1/2)], [regular_chain, [[0, 0], [1/2,
1/2], [-1, -1], [-5/8, -5/8], [-1284239/2097152, -642119/1048576]]]], [[6, 7,
4, 3, 3], [v = 0, And(0 < u,u < 1), x = -1, And(-1 < y,y < -u^2), And(-(y+1)^(
1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [-1, -1], [-5
/8, -5/8], [0, 0]]]], [[6, 7, 4, 3, 4], [v = 0, And(0 < u,u < 1), x = -1, And(
-1 < y,y < -u^2), z = (y+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-1,
-1], [-5/8, -5/8], [642119/1048576, 80265/131072]]]], [[6, 7, 4, 3, 5], [v = 0
, And(0 < u,u < 1), x = -1, And(-1 < y,y < -u^2), (y+1)^(1/2) < z], [
regular_chain, [[0, 0], [1/2, 1/2], [-1, -1], [-5/8, -5/8], [2, 2]]]], [[7, 1,
5, 2, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = x-u^2+
v^2+1, z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [-1/2, -1/2], [-33/4, -\
33/4], [0, 0]]]], [[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 < 0), 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, 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^2-1 < y,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], [-1291597/1048576, -1291597/1048576], [-1163761/
1048576, -72735/65536]]]], [[7, 3, 2, 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^2-1 < 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]
, [-343151/262144, -343151/262144], [-2583195/1048576, -1291597/524288], [-\
1291597/1048576, -1291597/1048576], [0, 0]]]], [[7, 3, 2, 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
-1 < y,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], [-1291597/
1048576, -1291597/1048576], [72735/65536, 1163761/1048576]]]], [[7, 3, 2, 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^2-1 < y,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],
[-1291597/1048576, -1291597/1048576], [3, 3]]]], [[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 < x, z = z], [
regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [-2, -2], [0, 0]]]], [[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), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [2, 2
], [-3, -3]]]], [[7, 9, 5, 9, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/
2)), And(-1 < x,x < u^2-v^2-1), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x
< u^2-v^2-1), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9,
4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1)
, u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 5], [And(0 < v,v < 1), And(v
< u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), u^2-v^2+x+1 < y, (y-x)^(1/2
) < z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-\
1672995/2097152, -1672995/2097152], [2, 2], [3, 3]]]], [[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 = 0, z < -1
], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1, -1], [0,
0], [-2, -2]]]], [[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 = 0, z = -1], [regular_chain, [[1/2, 1/2], [343151
/262144, 343151/262144], [-1, -1], [0, 0], [-1, -1]]]], [[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 = 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, 6, 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,
6, 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, 5, 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 < -(y-x)^(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(x
< y,y < u^2-v^2+x+1), z = -(y-x)^(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(x < y,y < u
^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2-v^2+x+1), z = (
y-x)^(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(x < y,y < u^2-v^2+x+1), (y-x)^(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(x < y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [248903/1048576, 248903/1048576], [773191/524288,
773191/524288], [-3, -3]]]], [[8, 3, 7, 7, 2], [v = 1, And(-3^(1/2) < u,u < -2
^(1/2)), And(0 < x,x < u^2-2), And(x < y,y < u^2+x), z = -(y-x)^(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, 7, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(0 <
x,x < u^2-2), And(x < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [248903/1048576,
248903/1048576], [773191/524288, 773191/524288], [0, 0]]]], [[8, 3, 7, 7, 4],
[v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), And(x < y,y < u^
2+x), z = (y-x)^(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, 7, 5], [v = 1, And(-3^(1/2) < u
,u < -2^(1/2)), And(0 < x,x < u^2-2), And(x < y,y < u^2+x), (y-x)^(1/2) < z],
[regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [248903/1048576
, 248903/1048576], [773191/524288, 773191/524288], [3, 3]]]], [[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(u^2-2 < y,y < 0), z < -(y-u^2+2)^(1/
2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1138531/
2097152, -569265/1048576], [-569265/2097152, -569265/2097152], [-2, -2]]]], [[
8, 11, 6, 3, 2], [v = 1, And(1 < u,u < 2^(1/2)), x = u^2-2, And(u^2-2 < y,y <
0), z = -(y-u^2+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, 3, 3], [v = 1, 
And(1 < u,u < 2^(1/2)), x = u^2-2, And(u^2-2 < y,y < 0), And(-(y-u^2+2)^(1/2)
< z,z < (y-u^2+2)^(1/2))], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-1138531/2097152, -569265/1048576], [-569265/2097152, -569265/
2097152], [0, 0]]]], [[8, 11, 6, 3, 4], [v = 1, And(1 < u,u < 2^(1/2)), x = u^
2-2, And(u^2-2 < y,y < 0), z = (y-u^2+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, 3, 5], [v = 1, And(1 < u,u < 2^(1/2)), x = u^2-2, And(u^2-2 < y,y < 0), (y-
u^2+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, 2, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x <
0), y = x-u^2+2, z = z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [-1/2, -1/2], [-8176749/8388608, -32706995/33554432], [0, 0]]]], [[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-u^2+v^2+1, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3, -3], [8, 8], [763943/524288, 1527887/1048576], [0, 0]]]], [[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(0 < y,y < u^2-v^2-1), 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, 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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[1265743
/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/
4194304, -3213833/4194304], [735353/2097152, 735353/2097152], [-3, -3]]]], [[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(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-3213833/4194304, -3213833/4194304], [735353/2097152, 735353/
2097152], [-1108163/1048576, -554081/524288]]]], [[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(0
< y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
3213833/4194304, -3213833/4194304], [735353/2097152, 735353/2097152], [0, 0]]]
], [[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(0 < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-3213833/4194304, -3213833/4194304], [735353/2097152, 735353/
2097152], [554081/524288, 1108163/1048576]]]], [[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(0 < y
,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/4194304, -\
3213833/4194304], [735353/2097152, 735353/2097152], [3, 3]]]], [[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 = 0, z < -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [-1, -1], [0, 0], [-2, -2]]]], [[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 = 0,
z = -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288,
898327/524288], [-1, -1], [0, 0], [-1, -1]]]], [[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 = 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, 6, 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, 6, 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, 10, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), 
And(0 < x,x < u^2-3), And(x < y,y < u^2+x-1), z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [505467/2097152, 505467/2097152], [1554043/1048576, 1554043/1048576]
, [-3, -3]]]], [[10, 3, 7, 7, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(
0 < x,x < u^2-3), And(x < y,y < u^2+x-1), z = -(y-x)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [
505467/2097152, 505467/2097152], [1554043/1048576, 1554043/1048576], [-4563/
4096, -1168127/1048576]]]], [[10, 3, 7, 7, 3], [v = 2^(1/2), And(-2 < u,u < -3
^(1/2)), And(0 < x,x < u^2-3), And(x < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [505467/2097152, 505467/2097152], [1554043/1048576
, 1554043/1048576], [0, 0]]]], [[10, 3, 7, 7, 4], [v = 2^(1/2), And(-2 < u,u <
-3^(1/2)), And(0 < x,x < u^2-3), And(x < y,y < u^2+x-1), z = (y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [505467/2097152, 505467/2097152], [1554043/1048576, 1554043/1048576]
, [1168127/1048576, 4563/4096]]]], [[10, 3, 7, 7, 5], [v = 2^(1/2), And(-2 < u
,u < -3^(1/2)), And(0 < x,x < u^2-3), And(x < y,y < u^2+x-1), (y-x)^(1/2) < z]
, [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [505467/2097152, 505467/2097152], [1554043/1048576, 1554043/
1048576], [3, 3]]]], [[10, 9, 5, 8, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(-\
1 < x,x < 0), y = x-u^2+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, 8, 2], [v = 2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), y = x-u
^2+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, 8, 3], [v = 2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), y =
x-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], [-1/2, -1/2], [9/4, 9/4], [-1/
4194304, -1/4194304]]]], [[10, 9, 5, 8, 4], [v = 2^(1/2), And(-1 < u,u < 0), 
And(-1 < x,x < 0), y = x-u^2+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, 8, 5], [v = 2^(1/2), And(-1 < u,u < 0
), And(-1 < x,x < 0), y = x-u^2+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, 11, 2, 7, 1], [v = 2^(1/2), And(0 < u,u < 1), x = u^2-3, 0 < y, z
< -(y-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2,
1/2], [-11/4, -11/4], [1, 1], [-3, -3]]]], [[10, 11, 2, 7, 2], [v = 2^(1/2), 
And(0 < u,u < 1), x = u^2-3, 0 < y, z = -(y-u^2+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, 7, 3], [v = 2^(1/2), And(0 < u,u
< 1), x = u^2-3, 0 < y, And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+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, 7, 4], [v = 2^(1/2), And(0
< u,u < 1), x = u^2-3, 0 < y, z = (y-u^2+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, 7, 5], [v = 2^(1/2), And(0 < u,u < 1), x = u
^2-3, 0 < y, (y-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [-11/4, -11/4], [1, 1], [3, 3]]]], [[10, 15, 5, 5, 1], [
v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), And(x-u^2+3 < y,y
< 0), z < -(y-x)^(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(x-u^2+3 < y,y < 0), z =
-(y-x)^(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(x-u
^2+3 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x-u^2+3 < y,y < 0), z = (y-x)^(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(x-u^2+3 < y,y < 0), (y-x)^(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 = -1, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [
3913339/2097152, 3913339/2097152], [-1, -1], [-1, -1], [-1, -1]]]], [[10, 17,
4, 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, 4, 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, 19, 1, 3, 1], [v = 2^(1/2), 2 < u, x < -u^2+1, And(x-u^2+3 < y,y
< x), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9,
-9], [-12, -12], [0, 0]]]], [[11, 1, 7, 2, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2
), And(0 < x,x < 1), y = x-u^2+v^2+1, z = z], [regular_chain, [[3, 3], [-5, -5
], [1/2, 1/2], [-29/2, -29/2], [0, 0]]]], [[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 < x, z = z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-516571/2097152
, -516571/2097152], [-2, -2], [0, 0]]]], [[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 = 2, z < -2^(1/2)], [regular_chain, [
[3, 3], [741455/262144, 2965821/1048576], [0, 0], [2, 2], [-3, -3]]]], [[11, 
14, 6, 4, 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, 4, 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,
4, 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, 4, 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, 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(x-u^2+v^2+1 <
y,y < x), z = z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576],
[-4, -4], [-2226663/524288, -2226663/524288], [0, 0]]]], [[11, 20, 7, 2, 1], [
2^(1/2) < v, u = (v^2+2)^(1/2), And(0 < x,x < 1), y = x-1, z = z], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [1/2, 1/2], [-1/2,
-1/2], [0, 0]]]], [[1, 5, 4, 8, 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], [-3
, -3]]]], [[1, 5, 4, 8, 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], [-1281417/
1048576, -160177/131072]]]], [[1, 5, 4, 8, 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], [0, 0]]]], [[1, 5, 4, 8, 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], [160177/131072, 1281417/1048576]]]], [[1, 5, 4, 8, 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], [3, 3]]]], [[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(0 < y,y < x-
u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-391287/524288, -391287/524288], [399003/1048576, 399003/
1048576], [-3, -3]]]], [[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(0 < y,y < x-u^2+v^2+1), z = -(y-x)^(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, 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(0 < y,y < x-u^2+v^2+1), And(-(
y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152
, -6111549/2097152], [-391287/524288, -391287/524288], [399003/1048576, 399003
/1048576], [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(0 < y,y < x-u^2+v^2+1), z = (y-x)^(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, 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(0 < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z],
[regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-391287/
524288, -391287/524288], [399003/1048576, 399003/1048576], [3, 3]]]], [[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(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y
< 0), (y+1)^(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 = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3
], [1435023/524288, 1435023/524288], [-4, -4], [0, 0], [-3, -3]]]], [[1, 13, 1
, 8, 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, 8, 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, 8, 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, 8, 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, 18, 8,
3, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 1, And(0 < y,y < 1), z = z], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [1, 1], [1/2, 1/2],
[0, 0]]]], [[1, 20, 5, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, 0 <
y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-3, -3], [1, 1], [-3, -3]]]], [[2, 5, 1,
9, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, 0 < y, z = -(y-x)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304,
-6598195/4194304], [-3, -3], [1, 1], [-2, -2]]]], [[2, 5, 1, 9, 3], [v = -2^(1
/2), And(-3^(1/2) < u,u < v), x < -u^2+1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x
)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-3, -3], [1, 1], [0, 0]]]], [[2, 5, 1, 9, 4], [v
= -2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, 0 < y, z = (y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-3, -3], [1, 1], [2, 2]]]], [[2, 5, 1, 9, 5], [v = -2^(1/2)
, And(-3^(1/2) < u,u < v), x < -u^2+1, 0 < y, (y-x)^(1/2) < z], [regular_chain
, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [
-3, -3], [1, 1], [3, 3]]]], [[2, 7, 2, 1, 1], [v = -2^(1/2), And(v < u,u < -1)
, x = u^2-3, y < u^2-3, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [-3235683/2097152, -1617841/
1048576], [-3, -3], [0, 0]]]], [[2, 9, 1, 4, 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, 4, 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, 4, 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, 8, 7, 1], [v = -2^(1/2), u = 1, x = 1, 3 < y, z <
-(y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [1
, 1], [4, 4], [-3, -3]]]], [[2, 12, 8, 7, 2], [v = -2^(1/2), u = 1, x = 1, 3 <
y, z = -(y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1,
1], [1, 1], [4, 4], [-1816187/1048576, -3632373/2097152]]]], [[2, 12, 8, 7, 3]
, [v = -2^(1/2), u = 1, x = 1, 3 < y, 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, 7, 4], [v = -2^(1/2), u = 1, x = 1, 3
< y, z = (y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1
, 1], [1, 1], [4, 4], [908093/524288, 1816187/1048576]]]], [[2, 12, 8, 7, 5],
[v = -2^(1/2), u = 1, x = 1, 3 < y, (y-1)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [1, 1], [4, 4], [3, 3]]]], [[2, 15,
1, 1, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, y < x, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-3, -3], [-4, -4], [0, 0]]]], [[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 = -2*u^2+2*v^2, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-4478937/
524288, -8957873/1048576], [-15818595/1048576, -7909297/524288], [0, 0]]]], [[
3, 2, 8, 5, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 1, And(1 <
y,y < 4), 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, 5, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 1, And
(1 < y,y < 4), 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, 5, 3], [And(-2^(1/2) < v,v < -1), u =
-(v^2+2)^(1/2), x = 1, And(1 < y,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], [5/2, 5/2], [0, 0]]]], [[3, 2, 8, 5, 4], [And(-2^(1/
2) < v,v < -1), u = -(v^2+2)^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 1, And(1 < y
,y < 4), (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, 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 = 0, z < -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [0, 0], [-3,
-3]]]], [[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 = 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, 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 = 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, 8, 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, 8, 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, 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 = u^2
-v^2+x+1, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0
], [-4, -4], [-4673615/1048576, -2336807/524288], [0, 0]]]], [[4, 1, 1, 5, 1],
[v = -1, u < -3^(1/2), x < -u^2, And(x < y,y < u^2+x), z < -(y-x)^(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(x < y,y < u^2+x), z = -(
y-x)^(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(x < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2+x), z = (y-x
)^(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(x < y,y < u^2+x), (y-x)^(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 = 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, 8, 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, 8, 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, 8, 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, 8, 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, 1, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 5, 1], [v = -1, u = 0, 1 < x, And(x < y,y < x+2), z < -(y-x)^(1/2
)], [regular_chain, [[-1, -1], [0, 0], [2, 2], [3, 3], [-2, -2]]]], [[4, 8, 9,
5, 2], [v = -1, u = 0, 1 < x, And(x < y,y < x+2), z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [2, 2], [3, 3], [-1, -1]]]], [[4, 8, 9, 5, 3
], [v = -1, u = 0, 1 < x, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[-1, -1], [0, 0], [2, 2], [3, 3], [0, 0]]]], [[4, 8,
9, 5, 4], [v = -1, u = 0, 1 < x, And(x < y,y < x+2), z = (y-x)^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [2, 2], [3, 3], [1, 1]]]], [[4, 8, 9, 5, 5],
[v = -1, u = 0, 1 < x, And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [
[-1, -1], [0, 0], [2, 2], [3, 3], [2, 2]]]], [[4, 14, 5, 2, 1], [v = -1, u = 3
^(1/2), And(-1 < x,x < 0), y = x-1, z = z], [regular_chain, [[-1, -1], [908093
/524288, 1816187/1048576], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[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 < 0), 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, 5, 2], [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 = -(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, 5, 3], [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), 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, 5, 4], [
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 = (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, 5, 5]
, [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), (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, 5, 1], [And(-1 < v,v < 0), 
And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, And(x-u^2+v^2+1 < y,y < u^2-v^2
+x+1), z < -(y-x)^(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(x-u^2+v^2+1 < y,y
< u^2-v^2+x+1), z = -(y-x)^(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(x-u^2+v
^2+1 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = (y-x)^(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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), (y-x)
^(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(-u^2+v^2-1 < 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], [-290131/262144, -290131/262144], [-2, -2]]]], [[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(-u^2+v^2-1 < 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], [-290131/262144, -290131/262144], [-1144335/2097152
, -572167/1048576]]]], [[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(-u^2+v^2-1 < 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], [-\
290131/262144, -290131/262144], [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(-u^2+v^2-1 < 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], [-290131/262144
, -290131/262144], [572167/1048576, 71521/131072]]]], [[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(-u^2+v^2-1 <
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], [-\
290131/262144, -290131/262144], [2, 2]]]], [[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 = 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], [-805555/524288, -3222219/2097152], [-3, -3]]]], [[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 = 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], [-805555/524288, -3222219/
2097152], [-3291611/2097152, -1645805/1048576]]]], [[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 = u^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], [-805555/524288, -\
3222219/2097152], [0, 0]]]], [[5, 11, 1, 6, 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], [-805555/524288, -3222219/2097152], [1645805/1048576, 822903/524288]]]],
[[5, 11, 1, 6, 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], [-805555/524288, -\
3222219/2097152], [3, 3]]]], [[6, 1, 7, 6, 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, 6, 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, 6, 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, 9, 1], [v = 0, And(-2^(1/2) < u,u < -1), x = -1, u^2 < y, z < -(y+1)^(1/2)]
, [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1, -1], [3,
3], [-3, -3]]]], [[6, 3, 4, 9, 2], [v = 0, And(-2^(1/2) < u,u < -1), x = -1, u
^2 < y, z = -(y+1)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [3, 3], [-2, -2]]]], [[6, 3, 4, 9, 3], [v = 0, And
(-2^(1/2) < u,u < -1), x = -1, u^2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))]
, [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1, -1], [3,
3], [0, 0]]]], [[6, 3, 4, 9, 4], [v = 0, And(-2^(1/2) < u,u < -1), x = -1, u^2
< y, z = (y+1)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [-1, -1], [3, 3], [2, 2]]]], [[6, 3, 4, 9, 5], [v = 0, And(-2^(1/2)
< u,u < -1), x = -1, u^2 < y, (y+1)^(1/2) < z], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [3, 3], [3, 3]]]], [[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], [-2576463/1048576, -1288231/524288], [-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], [-2576463/1048576, -1288231/524288], [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], [-2576463/1048576, -1288231/524288], [1, 1]]]], [[6, 10, 8,
7, 1], [v = 0, u = 2^(1/2), x = 1, 4 < y, z < -(y-1)^(1/2)], [regular_chain, [
[0, 0], [741455/524288, 1482911/1048576], [1, 1], [5, 5], [-3, -3]]]], [[6, 10
, 8, 7, 2], [v = 0, u = 2^(1/2), x = 1, 4 < y, z = -(y-1)^(1/2)], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [1, 1], [5, 5], [-2,
-2]]]], [[6, 10, 8, 7, 3], [v = 0, u = 2^(1/2), x = 1, 4 < y, 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, 7, 4], [v = 0, u = 2^(1/2), x
= 1, 4 < y, z = (y-1)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911
/1048576], [1, 1], [5, 5], [2, 2]]]], [[6, 10, 8, 7, 5], [v = 0, u = 2^(1/2),
x = 1, 4 < y, (y-1)^(1/2) < z], [regular_chain, [[0, 0], [741455/524288, 
1482911/1048576], [1, 1], [5, 5], [3, 3]]]], [[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(0 < y,y
< u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [-1/2, -1/2], [1029453/1048576, 1029453/1048576], [-3
, -3]]]], [[7, 3, 5, 7, 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 < u^2-v^2+x+1), z = -(y-x)^(1/2)],
[regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1/2, -1/2], [
1029453/1048576, 1029453/1048576], [-159551/131072, -1276407/1048576]]]], [[7,
3, 5, 7, 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 < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^
(1/2))], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1/2,
-1/2], [1029453/1048576, 1029453/1048576], [0, 0]]]], [[7, 3, 5, 7, 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 < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [-1/2, -1/2], [1029453/1048576, 1029453/
1048576], [1276407/1048576, 159551/131072]]]], [[7, 3, 5, 7, 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 < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [-1/2, -1/2], [1029453/1048576, 1029453/1048576], [3,
3]]]], [[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 < x, z = z], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152], [-2,
-2], [0, 0]]]], [[8, 1, 7, 4, 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, 3, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, And(-u^2+1 <
y,y < -1), z = z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [-1, -1], [-1297479/1048576, -1297479/1048576], [0, 0]]]], [[8, 7, 7
, 1, 1], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), y < x, z = z], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [-2, -2], [0, 0]]]], [[8,
9, 5, 7, 1], [v = 1, And(0 < u,u < 1), And(-1 < x,x < -u^2), And(0 < y,y < x-u
^2+2), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [
9/16, 9/16], [-3, -3]]]], [[8, 9, 5, 7, 2], [v = 1, And(0 < u,u < 1), And(-1 <
x,x < -u^2), And(0 < y,y < x-u^2+2), z = -(y-x)^(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, 7, 3], [v = 1, And(0 < u,u < 1), And(-1 < x,x < -u^2), And(0 <
y,y < x-u^2+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1
], [1/2, 1/2], [-5/8, -5/8], [9/16, 9/16], [0, 0]]]], [[8, 9, 5, 7, 4], [v = 1
, And(0 < u,u < 1), And(-1 < x,x < -u^2), And(0 < y,y < x-u^2+2), z = (y-x)^(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, 7, 5], [v = 1, And(0 < u,u < 1)
, And(-1 < x,x < -u^2), And(0 < y,y < x-u^2+2), (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [9/16, 9/16], [3, 3]]]], [[8
, 15, 2, 1, 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], [-17, -17], [0, 0]]]], [[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 < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-3, -3], [1/2, 1/2], [11, 11], [-5, -5]]]], [[9, 1, 7, 9, 2], [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 = -(y-x)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1/2, 1/2]
, [11, 11], [-3397775/1048576, -1698887/524288]]]], [[9, 1, 7, 9, 3], [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, And(-(y
-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [1/2, 1/2], [11, 11], [0, 0]]]], [[9, 1, 7, 9, 4], [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 = (
y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1
/2, 1/2], [11, 11], [1698887/524288, 3397775/1048576]]]], [[9, 1, 7, 9, 5], [
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,
(y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3
], [1/2, 1/2], [11, 11], [5, 5]]]], [[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 = x, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-558339/2097152, -558339/2097152], [-139585/524288, -279169
/1048576], [-1, -1]]]], [[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 = x, z = 0], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
558339/2097152, -558339/2097152], [-139585/524288, -279169/1048576], [0, 0]]]]
, [[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 = x, 0 < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-558339/2097152, -\
558339/2097152], [-139585/524288, -279169/1048576], [1, 1]]]], [[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 = 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], [225185/1048576, 112593/524288], [-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 = 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], [225185/1048576, 112593/524288], [-1374407/
2097152, -687203/1048576]]]], [[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 = u^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], [225185/1048576, 112593/524288], [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 = 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], [225185/1048576, 112593/524288], [687203/1048576, 
171801/262144]]]], [[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 = 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], [225185/1048576, 112593
/524288], [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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(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, 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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 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(x
< y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(x < y,y < u^2-v^2+x+1), z = (y-x)^(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, 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(x <
y,y < u^2-v^2+x+1), (y-x)^(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, 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 < 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327
/524288, 898327/524288], [501965/1048576, 250983/524288], [-1, -1], [0, 0]]]],
[[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 < -(y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
3, 3], [-1, -1], [9, 9], [-5, -5]]]], [[9, 17, 4, 9, 2], [And(1 < v,v < 2^(1/2
)), (v^2+2)^(1/2) < u, x = -1, u^2-v^2 < y, z = -(y+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [3, 3], [-1, -1], [9, 9], [-3315889/
1048576, -207243/65536]]]], [[9, 17, 4, 9, 3], [And(1 < v,v < 2^(1/2)), (v^2+2
)^(1/2) < u, x = -1, u^2-v^2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1, -1], [9, 9],
[0, 0]]]], [[9, 17, 4, 9, 4], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x =
-1, u^2-v^2 < y, z = (y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [-1, -1], [9, 9], [207243/65536, 3315889/1048576]]]], [[9, 
17, 4, 9, 5], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = -1, u^2-v^2 < y,
(y+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3],
[-1, -1], [9, 9], [5, 5]]]], [[10, 5, 6, 5, 1], [v = 2^(1/2), And(-3^(1/2) < u
,u < -v), x = u^2-3, And(0 < y,y < 2*u^2-4), z < -(y-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-275385/524288, -1101539/2097152], [248903/524288, 248903/524288],
[-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 < 2*u^2-4), z = -(y-u^2+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-275385/
524288, -1101539/2097152], [248903/524288, 248903/524288], [-4398045713467/
4398046511104, -2199022856733/2199023255552]]]], [[10, 5, 6, 5, 3], [v = 2^(1/
2), And(-3^(1/2) < u,u < -v), x = u^2-3, And(0 < y,y < 2*u^2-4), And(-(y-u^2+3
)^(1/2) < z,z < (y-u^2+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [-275385/524288, -1101539/
2097152], [248903/524288, 248903/524288], [-1698333/4398046511104, -1698333/
4398046511104]]]], [[10, 5, 6, 5, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v),
x = u^2-3, And(0 < y,y < 2*u^2-4), z = (y-u^2+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
275385/524288, -1101539/2097152], [248903/524288, 248903/524288], [1048575/
1048576, 1]]]], [[10, 5, 6, 5, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x =
u^2-3, And(0 < y,y < 2*u^2-4), (y-u^2+3)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-275385/
524288, -1101539/2097152], [248903/524288, 248903/524288], [2, 2]]]], [[10, 7,
7, 2, 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, 2, 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, 2,
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, 6, 2, 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, 5, 1, 1], [v = 2^(1/2), And(1
< u,u < v), And(-1 < x,x < -u^2+1), y < x, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-1527887/
2097152, -1527887/2097152], [-2, -2], [0, 0]]]], [[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 = z], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1, -1], [-3, -\
3], [0, 0]]]], [[11, 5, 2, 7, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v)
, x = -u^2+v^2-1, 0 < y, 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, 7, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x
= -u^2+v^2-1, 0 < y, 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, 7, 3], [2^(1/2) < v, And(-(
v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, 0 < y, 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, 7,
4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, 0 < y, 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, 7, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+
v^2-1, 0 < y, (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, 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(0 < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2],
[2105899/2097152, 2105899/2097152], [-3, -3]]]], [[11, 9, 5, 7, 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-u^2+v^2+1), z = -(y-x)^(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, 7, 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-u^2+v^2
+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [-1/2, -1/2], [2105899/2097152, 2105899/
2097152], [0, 0]]]], [[11, 9, 5, 7, 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-u^2+v^2+1), z = (y-x)^(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, 7, 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-u^2+v^2+1), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2],
[2105899/2097152, 2105899/2097152], [3, 3]]]], [[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 = 0, z < -(-u^2
+v^2+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-10, -10], [0, 0], [-5, -5]]
]], [[11, 11, 2, 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 = 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, 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 = 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, 6, 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, 6, 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, 5, 3,
1], [2^(1/2) < v, u = v, And(0 < x,x < 1), And(0 < y,y < x), z = z], [
regular_chain, [[3, 3], [3, 3], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[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+2
), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576]
, [-1/2, -1/2], [3/4, 3/4], [-3, -3]]]], [[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+2), z = -(y-x)^(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, 5, 3], [2^(1/2) < v,
u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576],
[-1/2, -1/2], [3/4, 3/4], [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+2), z = (y-x)^(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, 5, 5], [2^(1/2) < v, u
= (v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-1/2, -1/2], [3/4, 3
/4], [3, 3]]]], [[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 = x-u^2+v^2+1, z = z], [regular_chain, [[-3, -3], [-5, -5],
[8, 8], [-7, -7], [0, 0]]]], [[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 = z], [regular_chain, [[-\
3, -3], [-3396811/1048576, -3396811/1048576], [0, 0], [-2, -2], [0, 0]]]], [[1
, 7, 9, 3, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1),
And(0 < y,y < x), z = z], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[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),
x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [533035/2097152, 533035/2097152], [4, 4], [-3, -3
]]]], [[1, 9, 7, 9, 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), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [533035/
2097152, 533035/2097152], [4, 4], [-8117717/4194304, -16235433/8388608]]]], [[
1, 9, 7, 9, 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), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [533035/
2097152, 533035/2097152], [4, 4], [-1/16777216, -1/16777216]]]], [[1, 9, 7, 9,
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), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [533035/2097152, 533035/2097152], [4, 4]
, [2029429/1048576, 1014715/524288]]]], [[1, 9, 7, 9, 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), x-u^2+v^2+1
< y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [533035/2097152, 533035/2097152], [4, 4], [3, 3]]]], [[1, 
14, 9, 3, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), 1 < x, And(0 < y,y < x), z = z
], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [2, 2], [1, 1]
, [0, 0]]]], [[1, 16, 7, 7, 1], [v < -2^(1/2), u = -v, 1 < x, x+1 < y, z < -(y
-x)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [2, 2], [4, 4], [-3, -3]]]], [[
1, 16, 7, 7, 2], [v < -2^(1/2), u = -v, 1 < x, x+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [3, 3], [2, 2], [4, 4], [-1482911/1048576, -741455/
524288]]]], [[1, 16, 7, 7, 3], [v < -2^(1/2), u = -v, 1 < x, x+1 < y, And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [3, 3], [2, 2], [4,
4], [0, 0]]]], [[1, 16, 7, 7, 4], [v < -2^(1/2), u = -v, 1 < x, x+1 < y, z = (
y-x)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [2, 2], [4, 4], [741455/524288
, 1482911/1048576]]]], [[1, 16, 7, 7, 5], [v < -2^(1/2), u = -v, 1 < x, x+1 <
y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [3, 3], [2, 2], [4, 4], [3, 3]
]]], [[1, 20, 9, 4, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), 1 < x, y = x-1, z =
z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [2, 2], [1,
1], [0, 0]]]], [[2, 1, 6, 1, 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], [-7
, -7], [0, 0]]]], [[2, 10, 6, 7, 1], [v = -2^(1/2), u = 0, x = 0, 3 < y, z < -
y^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [0, 0],
[4, 4], [-3, -3]]]], [[2, 10, 6, 7, 2], [v = -2^(1/2), u = 0, x = 0, 3 < y, z
= -y^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [0,
0], [4, 4], [-2, -2]]]], [[2, 10, 6, 7, 3], [v = -2^(1/2), u = 0, x = 0, 3 < y
, 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, 7, 4], [v = -2^(1/2),
u = 0, x = 0, 3 < y, z = y^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [0, 0], [0, 0], [4, 4], [2, 2]]]], [[2, 10, 6, 7, 5], [v = -2^(1/2),
u = 0, x = 0, 3 < y, y^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455
/524288], [0, 0], [0, 0], [4, 4], [3, 3]]]], [[2, 12, 4, 5, 1], [v = -2^(1/2),
u = 1, x = -1, And(0 < y,y < 1), z < -(y+1)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [1, 1], [-1, -1], [1/2, 1/2], [-3, -3]]]], [[2, 12,
4, 5, 2], [v = -2^(1/2), u = 1, x = -1, And(0 < y,y < 1), z = -(y+1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1, -1], [1/2, 1/
2], [-1284239/1048576, -642119/524288]]]], [[2, 12, 4, 5, 3], [v = -2^(1/2), u
= 1, x = -1, And(0 < y,y < 1), And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1,
1], [-1, -1], [1/2, 1/2], [642119/524288, 1284239/1048576]]]], [[2, 12, 4, 5,
5], [v = -2^(1/2), u = 1, x = -1, And(0 < y,y < 1), (y+1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1, -1], [1/2, 1/
2], [3, 3]]]], [[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(x < y,y < 0), z < -(y-x)^(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(x < y,y <
0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y
-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y
< 0), (y-x)^(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 = 0, z < 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [0, 0]
, [0, 0], [-1, -1]]]], [[3, 4, 6, 2, 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, 2, 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, 1, 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],
[-1, -1], [0, 0]]]], [[3, 10, 8, 5, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)
^(1/2), x = 1, And(1 < y,y < 3), z < -(y-1)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [1, 1], [2, 2],
[-2, -2]]]], [[3, 10, 8, 5, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2),
x = 1, And(1 < y,y < 3), z = -(y-1)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [354469/524288, 708939/1048576], [1, 1], [2, 2], [-1, -1]
]]], [[3, 10, 8, 5, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = 1, 
And(1 < y,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], [
2, 2], [0, 0]]]], [[3, 10, 8, 5, 4], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1
/2), x = 1, And(1 < y,y < 3), z = (y-1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [1, 1], [2, 2], [
1, 1]]]], [[3, 10, 8, 5, 5], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x =
1, And(1 < y,y < 3), (y-1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [354469/524288, 708939/1048576], [1, 1], [2, 2], [2, 2]]]],
[[3, 12, 7, 2, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 1], [And(-2^(1/2) < v,v < -1),
u = (v^2+2)^(1/2), x = -1, 2 < y, z < -(y+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-1, -1],
[3, 3], [-3, -3]]]], [[3, 16, 4, 9, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+2)
^(1/2), x = -1, 2 < y, z = -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [121853/65536, 1949649/1048576], [-1, -1], [3, 3], [-2, -2]
]]], [[3, 16, 4, 9, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -1,
2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-1, -1], [3, 3],
[0, 0]]]], [[3, 16, 4, 9, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x
= -1, 2 < y, z = (y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [-1, -1], [3, 3], [2, 2]]]], [[3, 
16, 4, 9, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -1, 2 < y, (y+
1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/
65536, 1949649/1048576], [-1, -1], [3, 3], [3, 3]]]], [[4, 3, 2, 2, 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], [-49484237/16777216, -12371059/4194304], [0, 0]]]],
[[4, 5, 1, 1, 1], [v = -1, And(-2^(1/2) < u,u < -1), x < -u^2, y < x, z = z],
[regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3, -3], [-4
, -4], [0, 0]]]], [[4, 10, 7, 7, 1], [v = -1, u = 1, 1 < x, x+1 < y, z < -(y-x
)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [2, 2], [4, 4], [-3, -3]]]], [[4,
10, 7, 7, 2], [v = -1, u = 1, 1 < x, x+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [1, 1], [2, 2], [4, 4], [-1482911/1048576, -741455/
524288]]]], [[4, 10, 7, 7, 3], [v = -1, u = 1, 1 < x, x+1 < y, And(-(y-x)^(1/2
) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [1, 1], [2, 2], [4, 4], [0
, 0]]]], [[4, 10, 7, 7, 4], [v = -1, u = 1, 1 < x, x+1 < y, z = (y-x)^(1/2)],
[regular_chain, [[-1, -1], [1, 1], [2, 2], [4, 4], [741455/524288, 1482911/
1048576]]]], [[4, 10, 7, 7, 5], [v = -1, u = 1, 1 < x, x+1 < y, (y-x)^(1/2) <
z], [regular_chain, [[-1, -1], [1, 1], [2, 2], [4, 4], [3, 3]]]], [[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 < -(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, 8, 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, 8, 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, 8, 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, 8, 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, 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 < -(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, 7, 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,
0 < y, 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, 7, 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, 0 < y, 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, 7, 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, 0 < y, 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, 7, 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, 0 < y, (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, 7, 4, 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, 3, 1], [v = 0, u < -2^(1/2), x = -1, And(-u^2 <
y,y < -1), z = z], [regular_chain, [[0, 0], [-3, -3], [-1, -1], [-5, -5], [0,
0]]]], [[6, 5, 3, 5, 1], [v = 0, And(-1 < u,u < 0), And(-u^2-1 < x,x < -1), 
And(x-u^2+1 < y,y < 0), z < -(y-x)^(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(x-u^2+1 < y,y < 0), z = -(y-x)^(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(x-u^2+1 < y,y < 0), And(-(y-x)^(1/2) < z,z
< (y-x)^(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(x-u^2+1 < y,y < 0), z = (y-x)^(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(x-u^2+1 < y,y < 0), (y-x)^(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), u^2+x+1 < y, z < -(y-x)^(1/2
)], [regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8], [2, 2], [-3, -3]]]], [[
6, 7, 3, 9, 2], [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -1), u^2+x+1 < y,
z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8], [2, 2],
[-7414553/4194304, -926819/524288]]]], [[6, 7, 3, 9, 3], [v = 0, And(0 < u,u <
1), And(-u^2-1 < x,x < -1), u^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8], [2, 2], [0, 0]]]], [[6,
7, 3, 9, 4], [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -1), u^2+x+1 < y, z
= (y-x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8], [2, 2], [
926819/524288, 1853639/1048576]]]], [[6, 7, 3, 9, 5], [v = 0, And(0 < u,u < 1)
, And(-u^2-1 < x,x < -1), u^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[0,
0], [1/2, 1/2], [-9/8, -9/8], [2, 2], [3, 3]]]], [[7, 1, 5, 5, 1], [And(0 < v,
v < 1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1
/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0)
, (y-x)^(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], [-2583195/1048576, -1291597/524288], [-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], [-2583195/1048576, -1291597/
524288], [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], [-2583195/1048576, -1291597/524288], [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 = x, z < 0]
, [regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [-7/8, -7/8], [-1, -1]]]]
, [[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 = x, z = 0], [regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [-7/
8, -7/8], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[1/2, 1/2], [0, 0]
, [-7/8, -7/8], [-7/8, -7/8], [1, 1]]]], [[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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 < -1), z = z], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1, -1], [-\
1291597/1048576, -1291597/1048576], [0, 0]]]], [[7, 13, 1, 6, 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, 6, 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, 6
, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = u
^2-2, 2*u^2-2 < y, z < -(y-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-1138531/2097152, -569265/1048576], [2, 2], [-3,
-3]]]], [[8, 5, 6, 7, 2], [v = 1, And(-2^(1/2) < u,u < -1), x = u^2-2, 2*u^2-2
< y, z = -(y-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [-1138531/2097152, -569265/1048576], [2, 2], [-1672107/
1048576, -3344213/2097152]]]], [[8, 5, 6, 7, 3], [v = 1, And(-2^(1/2) < u,u <
-1), x = u^2-2, 2*u^2-2 < y, And(-(y-u^2+2)^(1/2) < z,z < (y-u^2+2)^(1/2))], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1138531/
2097152, -569265/1048576], [2, 2], [-1/4194304, -1/4194304]]]], [[8, 5, 6, 7,
4], [v = 1, And(-2^(1/2) < u,u < -1), x = u^2-2, 2*u^2-2 < y, z = (y-u^2+2)^(1
/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1138531
/2097152, -569265/1048576], [2, 2], [836053/524288, 1672107/1048576]]]], [[8,
5, 6, 7, 5], [v = 1, And(-2^(1/2) < u,u < -1), x = u^2-2, 2*u^2-2 < y, (y-u^2+
2)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576],
[-1138531/2097152, -569265/1048576], [2, 2], [3, 3]]]], [[8, 11, 5, 9, 1], [v
= 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), u^2+x < y, z < -(y-x)^(1/2
)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3235683/
4194304, -3235683/4194304], [2, 2], [-3, -3]]]], [[8, 11, 5, 9, 2], [v = 1, 
And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), u^2+x < y, z = -(y-x)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3235683/4194304,
-3235683/4194304], [2, 2], [-3491269/2097152, -872817/524288]]]], [[8, 11, 5,
9, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), u^2+x < y, And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [1265743/1048576,
1265743/1048576], [-3235683/4194304, -3235683/4194304], [2, 2], [0, 0]]]], [[8
, 11, 5, 9, 4], [v = 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), u^2+x <
y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-3235683/4194304, -3235683/4194304], [2, 2], [872817/524288, 
1745635/1048576]]]], [[8, 11, 5, 9, 5], [v = 1, And(1 < u,u < 2^(1/2)), And(-1
< x,x < u^2-2), u^2+x < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [1265743
/1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304], [2, 2], [3,
3]]]], [[8, 13, 5, 3, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x <
0), And(x-u^2+2 < y,y < x), z = z], [regular_chain, [[1, 1], [3299097/2097152,
3299097/2097152], [-1/2, -1/2], [-49484211/67108864, -49484211/67108864], [0,
0]]]], [[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(0 < y,y < x-u^2+v^2+1), z = z], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3, -3], [8, 8], [763943/1048576, 763943/1048576], [0, 0]]]
], [[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 = 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], [3101083/1048576, 775271/
262144], [-3, -3]]]], [[9, 3, 8, 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 = 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], [3101083/1048576
, 775271/262144], [-3301741/2097152, -825435/524288]]]], [[9, 3, 8, 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 = 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], [3101083/1048576, 775271/
262144], [0, 0]]]], [[9, 3, 8, 6, 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], [3101083/1048576, 
775271/262144], [825435/524288, 1650871/1048576]]]], [[9, 3, 8, 6, 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], [3101083/1048576, 775271/262144], [3, 3]]]], [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/
4194304, -3213833/4194304], [-245119/1048576, -122559/524288], [-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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
3213833/4194304, -3213833/4194304], [-245119/1048576, -122559/524288], [-\
765155/1048576, -1530309/2097152]]]], [[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 = x-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], [-\
3213833/4194304, -3213833/4194304], [-245119/1048576, -122559/524288], [-1/
4194304, -1/4194304]]]], [[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 = x-u^2+v^2+1, z = (-u^2+v^2
+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [-245119/
1048576, -122559/524288], [382577/524288, 765155/1048576]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/
4194304, -3213833/4194304], [-245119/1048576, -122559/524288], [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(0 < y,y < u^2-v^2), z < -(y+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1, -1], [
1550541/2097152, 1550541/2097152], [-3, -3]]]], [[9, 15, 4, 7, 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 <
u^2-v^2), z = -(y+1)^(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, 7, 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 <
u^2-v^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1, -1], [1550541/
2097152, 1550541/2097152], [0, 0]]]], [[9, 15, 4, 7, 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 < u^2-v^2),
z = (y+1)^(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, 7, 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 < u^2-v^2), (y+1)^(1
/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288,
898327/524288], [-1, -1], [1550541/2097152, 1550541/2097152], [3, 3]]]], [[10,
1, 10, 5, 1], [v = 2^(1/2), u < -2, x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), z <
-(y-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3]
, [6, 6], [10, 10], [-3, -3]]]], [[10, 1, 10, 5, 2], [v = 2^(1/2), u < -2, x =
u^2-3, And(u^2-3 < y,y < 2*u^2-4), z = -(y-u^2+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [6, 6], [10, 10], [-2, -2]]]], [[10
, 1, 10, 5, 3], [v = 2^(1/2), u < -2, x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), 
And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+3)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [6, 6], [10, 10], [0, 0]]]], [[10, 1, 10,
5, 4], [v = 2^(1/2), u < -2, x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), z = (y-u^2
+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [6, 6
], [10, 10], [2, 2]]]], [[10, 1, 10, 5, 5], [v = 2^(1/2), u < -2, x = u^2-3, 
And(u^2-3 < y,y < 2*u^2-4), (y-u^2+3)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [6, 6], [10, 10], [3, 3]]]], [[10, 3, 8, 1
, 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], [-1, -1], [0, 0]]]], [[10, 9, 5, 5,
1], [v = 2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), And(x < y,y < 0), z <
-(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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
-1, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-\
15/8, -15/8], [-4, -4], [0, 0]]]], [[10, 15, 5, 4, 1], [v = 2^(1/2), And(v < u
,u < 3^(1/2)), And(-1 < x,x < u^2-3), y = x-u^2+3, z < -(-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-3198693/4194304, -3198693/4194304], [-248903/1048576, -124451/
524288], [-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 = x-u^2+3, z = -(-u^2+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-3198693
/4194304, -3198693/4194304], [-248903/1048576, -124451/524288], [-1519901/
2097152, -379975/524288]]]], [[10, 15, 5, 4, 3], [v = 2^(1/2), And(v < u,u < 3
^(1/2)), And(-1 < x,x < u^2-3), y = x-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], [-3198693/4194304, -3198693/4194304], [-248903/
1048576, -124451/524288], [0, 0]]]], [[10, 15, 5, 4, 4], [v = 2^(1/2), And(v <
u,u < 3^(1/2)), And(-1 < x,x < u^2-3), y = x-u^2+3, z = (-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-3198693/4194304, -3198693/4194304], [-248903/1048576, -124451/
524288], [379975/524288, 759951/1048576]]]], [[10, 15, 5, 4, 5], [v = 2^(1/2),
And(v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), y = x-u^2+3, (-u^2+3)^(1/2) < z
], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-3198693/4194304, -3198693/4194304], [-248903/1048576, -\
124451/524288], [2, 2]]]], [[10, 17, 4, 7, 1], [v = 2^(1/2), And(3^(1/2) < u,u
< 2), x = -1, And(0 < y,y < u^2-2), z < -(y+1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-1, -1],
[1554043/2097152, 1554043/2097152], [-3, -3]]]], [[10, 17, 4, 7, 2], [v = 2^(1
/2), And(3^(1/2) < u,u < 2), x = -1, And(0 < y,y < u^2-2), z = -(y+1)^(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, 7, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x
= -1, And(0 < y,y < u^2-2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-1, -1], [1554043/2097152, 1554043/2097152], [0, 0]]]], [[10, 17, 4
, 7, 4], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -1, And(0 < y,y < u^2-2), z
= (y+1)^(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, 7, 5], [v = 2^(1/2), And(3^(1
/2) < u,u < 2), x = -1, And(0 < y,y < u^2-2), (y+1)^(1/2) < z], [regular_chain
, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-1,
-1], [1554043/2097152, 1554043/2097152], [3, 3]]]], [[10, 19, 1, 2, 1], [v = 2
^(1/2), 2 < u, x < -u^2+1, y = x-u^2+3, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [-9, -9], [-15, -15], [0, 0]]]], [[11, 1, 7,
5, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(0 < y,y < x), 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 < u^2-v^2-1, z = z], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [-531193/1048576, -1062385/2097152], [-2, -2], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152]
, [-516571/2097152, -516571/2097152], [-129143/524288, -258285/1048576], [-1,
-1]]]], [[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 = x, z = 0], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [-129143/
524288, -258285/1048576], [0, 0]]]], [[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 = x, 0 < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-516571/2097152
, -516571/2097152], [-129143/524288, -258285/1048576], [1, 1]]]], [[11, 12, 8,
3, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 1, And(0 < y,y < 1), z = z], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [1, 1], [1/2, 1/2], [0,
0]]]], [[11, 14, 7, 2, 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, 9, 7, 1], [2^(1/2) < v, u = (v^2+1)^(1/2)
, 1 < x, x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 
3315889/1048576], [2, 2], [5, 5], [-3, -3]]]], [[11, 18, 9, 7, 2], [2^(1/2) <
v, u = (v^2+1)^(1/2), 1 < x, x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[3,
3], [207243/65536, 3315889/1048576], [2, 2], [5, 5], [-1816187/1048576, -\
3632373/2097152]]]], [[11, 18, 9, 7, 3], [2^(1/2) < v, u = (v^2+1)^(1/2), 1 <
x, x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [
[11, 18, 9, 7, 4], [2^(1/2) < v, u = (v^2+1)^(1/2), 1 < x, x+2 < y, z = (y-x)^
(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [2, 2], [5,
5], [908093/524288, 1816187/1048576]]]], [[11, 18, 9, 7, 5], [2^(1/2) < v, u =
(v^2+1)^(1/2), 1 < x, x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [2, 2], [5, 5], [3, 3]]]], [[11, 20, 7, 3, 1],
[2^(1/2) < v, u = (v^2+2)^(1/2), And(0 < x,x < 1), And(x-1 < y,y < 0), z = z],
[regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [1/2, 1/2], [-1/4,
-1/4], [0, 0]]]], [[1, 5, 4, 9, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u <
v), x = -1, u^2-v^2 < y, z < -(y+1)^(1/2)], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-1, -1], [2, 2], [-3, -3]]]], [[1, 5, 4, 9, 2
], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -1, u^2-v^2 < y, z = -(y+
1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1, -\
1], [2, 2], [-1816187/1048576, -3632373/2097152]]]], [[1, 5, 4, 9, 3], [v < -2
^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -1, u^2-v^2 < y, And(-(y+1)^(1/2) <
z,z < (y+1)^(1/2))], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [-1, -1], [2, 2], [-1/4194304, -1/4194304]]]], [[1, 5, 4, 9, 4], [v <
-2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -1, u^2-v^2 < y, z = (y+1)^(1/2)]
, [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1, -1], [2, 2
], [908093/524288, 1816187/1048576]]]], [[1, 5, 4, 9, 5], [v < -2^(1/2), And(-
(v^2+1)^(1/2) < u,u < v), x = -1, u^2-v^2 < y, (y+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1, -1], [2, 2],
[3, 3]]]], [[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 = 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], [-266003/1048576, -133001/524288], [-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 = 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], [-\
266003/1048576, -133001/524288], [-735979/1048576, -1471957/2097152]]]], [[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 = u^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], [-266003/1048576, -133001/524288], [-1/4194304, -1/
4194304]]]], [[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 = 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], [-266003/1048576, -133001/524288], [367989/524288, 
735979/1048576]]]], [[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 = 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], [-266003/1048576, -133001/524288], [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 < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-1
, -1], [9, 9], [-5, -5]]]], [[1, 11, 4, 8, 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, 8, 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, 8, 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, 8, 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, 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-u^2+v^2+1 < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-4, -4], [-\
1564115/2097152, -1564115/2097152], [-3, -3]]]], [[1, 13, 1, 7, 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(x-u^2+v^2+1
< y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [-4, -4], [-1564115/2097152, -1564115/2097152], [-7566241/
4194304, -236445/131072]]]], [[1, 13, 1, 7, 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(x-u^2+v^2+1 < y,y < 0), And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [-4, -4], [-1564115/2097152, -1564115/2097152], [0, 0]]]], [[
1, 13, 1, 7, 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(x-u^2+v^2+1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-3,
-3], [1435023/524288, 1435023/524288], [-4, -4], [-1564115/2097152, -1564115/
2097152], [236445/131072, 1891561/1048576]]]], [[1, 13, 1, 7, 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(x-u^2+v^2+1 <
y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [-4, -4], [-1564115/2097152, -1564115/2097152], [3, 3]]]], [[
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(x < y,y < 0), z < -(y-x)^(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(x < y
,y < 0), z = -(y-x)^(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(x < y,y < 0), And(
-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z
= (y-x)^(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(x < y,y < 0), (y-x)^(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 = x-u^2+3, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-3651195/
2097152, -3651195/2097152], [-2331065/1048576, -291383/131072], [0, 0]]]], [[2
, 5, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 2, 2, 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], [-\
3235683/2097152, -1617841/1048576], [-1, -1]]]], [[2, 7, 2, 2, 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], [-3235683/2097152, -1617841/1048576], [0,
0]]]], [[2, 7, 2, 2, 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], [-3235683/
2097152, -1617841/1048576], [1, 1]]]], [[2, 9, 1, 1, 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], [-6, -6], [0, 0]]]], [[2, 12, 9, 3,
1], [v = -2^(1/2), u = 1, 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [2, 2], [1, 1], [0, 0]]]], [[2, 14,
7, 7, 1], [v = -2^(1/2), u = -v, 1 < x, x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [2, 2], [4, 4], [-3, -3]]]], [[2, 14, 7, 7, 2], [v = -2^(1/2), u = -
v, 1 < x, x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [741455/524288, 1482911/1048576], [2, 2], [4, 4], [-1482911/
1048576, -741455/524288]]]], [[2, 14, 7, 7, 3], [v = -2^(1/2), u = -v, 1 < x,
x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [741455/524288, 1482911/1048576], [2, 2], [4, 4], [0
, 0]]]], [[2, 14, 7, 7, 4], [v = -2^(1/2), u = -v, 1 < x, x+1 < y, z = (y-x)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 
1482911/1048576], [2, 2], [4, 4], [741455/524288, 1482911/1048576]]]], [[2, 14
, 7, 7, 5], [v = -2^(1/2), u = -v, 1 < x, x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [2, 2], [4, 4], [3, 3]]]], [[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(-2*u^2+2*v^2 < y,y < -u^2+v^2-1),
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-\
4478937/524288, -8957873/1048576], [-6194117/524288, -6194117/524288], [0, 0]]
]], [[3, 2, 8, 2, 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, 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 = u^2-v^
2-1, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-3293563/2097152, -1646781/1048576], [-3293563/
2097152, -1646781/1048576], [-1, -1]]]], [[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 = u^2-v^2-1, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3293563/2097152, -1646781/1048576], [-3293563/2097152, -\
1646781/1048576], [0, 0]]]], [[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 = u^2-v^2-1, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3293563/2097152, -1646781/1048576], [-3293563/2097152, -\
1646781/1048576], [1, 1]]]], [[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 < u^2-v^2+x+1, z = z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-4, -4], [-6,
-6], [0, 0]]]], [[4, 1, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 7, 7, 1], [v = -1, u = -3^(1/2), And(0 < x,
x < 1), And(x < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-\
1816187/1048576, -3632373/2097152], [1/2, 1/2], [2, 2], [-3, -3]]]], [[4, 2, 7
, 7, 2], [v = -1, u = -3^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), z = -(y-
x)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [1
/2, 1/2], [2, 2], [-1284239/1048576, -642119/524288]]]], [[4, 2, 7, 7, 3], [v
= -1, u = -3^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/
2097152], [1/2, 1/2], [2, 2], [0, 0]]]], [[4, 2, 7, 7, 4], [v = -1, u = -3^(1/
2), And(0 < x,x < 1), And(x < y,y < x+3), z = (y-x)^(1/2)], [regular_chain, [[
-1, -1], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [2, 2], [642119/
524288, 1284239/1048576]]]], [[4, 2, 7, 7, 5], [v = -1, u = -3^(1/2), And(0 <
x,x < 1), And(x < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-\
1816187/1048576, -3632373/2097152], [1/2, 1/2], [2, 2], [3, 3]]]], [[4, 7, 1,
5, 1], [v = -1, And(-1 < u,u < 0), x < u^2-2, And(u^2+x < y,y < x-u^2+2), z <
-(y-x)^(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
< y,y < x-u^2+2), z = -(y-x)^(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 < y,y < x-u^2+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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 < y,y < x-u^2+2),
z = (y-x)^(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
< y,y < x-u^2+2), (y-x)^(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 = 0,
z = z], [regular_chain, [[-1, -1], [0, 0], [2, 2], [0, 0], [0, 0]]]], [[4, 14,
5, 5, 1], [v = -1, u = 3^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x
)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0
), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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], [-1672995/1048576, -\
3345989/2097152], [-3, -3]]]], [[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
], [-1672995/1048576, -3345989/2097152], [-19417/16384, -1242687/1048576]]]],
[[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],
[-1672995/1048576, -3345989/2097152], [0, 0]]]], [[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], [-1672995/1048576, -3345989/2097152], [1242687/1048576, 
19417/16384]]]], [[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],
[-1672995/1048576, -3345989/2097152], [3, 3]]]], [[5, 7, 2, 1, 1], [And(-1 < v
,v < 0), And(v < u,u < -v), x = u^2-v^2-1, y < u^2-v^2-1, z = z], [
regular_chain, [[-1/2, -1/2], [0, 0], [-5/4, -5/4], [-3, -3], [0, 0]]]], [[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 = 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, 6, 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, 6, 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, 6, 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, 6, 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, 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(x < y,y <
u^2-v^2+x+1), z < -(y-x)^(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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y
< u^2-v^2+x+1), z = (y-x)^(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(x < y,y < u^2-v^2+x+1), (y
-x)^(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(x < y,y < u^2+x+1), z < -(y-x)^(1/2
)], [regular_chain, [[0, 0], [-3, -3], [1/2, 1/2], [11/2, 11/2], [-4, -4]]]],
[[6, 1, 7, 7, 2], [v = 0, u < -2^(1/2), And(0 < x,x < 1), And(x < y,y < u^2+x+
1), z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [1/2, 1/2], [11/2, 
11/2], [-146543/65536, -2344687/1048576]]]], [[6, 1, 7, 7, 3], [v = 0, u < -2^
(1/2), And(0 < x,x < 1), And(x < y,y < u^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x
)^(1/2))], [regular_chain, [[0, 0], [-3, -3], [1/2, 1/2], [11/2, 11/2], [0, 0]
]]], [[6, 1, 7, 7, 4], [v = 0, u < -2^(1/2), And(0 < x,x < 1), And(x < y,y < u
^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [1/2, 1/2], [11/
2, 11/2], [2344687/1048576, 146543/65536]]]], [[6, 1, 7, 7, 5], [v = 0, u < -2
^(1/2), And(0 < x,x < 1), And(x < y,y < u^2+x+1), (y-x)^(1/2) < z], [
regular_chain, [[0, 0], [-3, -3], [1/2, 1/2], [11/2, 11/2], [4, 4]]]], [[6, 3,
4, 6, 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, 6, 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, 6, 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, 6, 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,
6, 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, 7, 1], [v = 0, And(1 < u,u < 2^(1/2)), x = -u^2-1, 0 < y, 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, 7, 2], [v =
0, And(1 < u,u < 2^(1/2)), x = -u^2-1, 0 < y, 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,
7, 3], [v = 0, And(1 < u,u < 2^(1/2)), x = -u^2-1, 0 < y, 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, 7, 4], [v = 0, And(1 < u,u < 2^(1/2)), x = -u^2-1, 0 < y, 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, 7, 5], [v = 0, And(1 < u,u < 2^(1/2)), x = -u^2-1, 0 < y, (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, 6, 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, 6, 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, 6, 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, 6, 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, 6,
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, 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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [-1/2, -1/2], [1029453/524288, 2058907/1048576
], [-3, -3]]]], [[7, 3, 5, 8, 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],
[1029453/524288, 2058907/1048576], [-3291611/2097152, -1645805/1048576]]]], [[
7, 3, 5, 8, 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], [1029453/524288, 2058907/1048576], [0, 0]]]], [[7, 3, 5, 8, 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], [1029453/524288, 2058907/1048576], [
1645805/1048576, 822903/524288]]]], [[7, 3, 5, 8, 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], [1029453/524288, 2058907/1048576], [3, 3]]]], [[7, 5, 4
, 7, 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 < -(y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-1, -1], [424157/2097152, 424157/2097152], [-3, -\
3]]]], [[7, 5, 4, 7, 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 = -(y+1)^(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, 7, 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(-(
y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-1, -1], [424157/2097152, 424157/2097152], [0, 0]
]]], [[7, 5, 4, 7, 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 = (y+1)^(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, 7, 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), (y+1)^(1/2) <
z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1, -1
], [424157/2097152, 424157/2097152], [3, 3]]]], [[8, 1, 7, 1, 1], [v = 1, u <
-3^(1/2), And(0 < x,x < 1), y < x-u^2+2, z = z], [regular_chain, [[1, 1], [-3,
-3], [1/2, 1/2], [-8, -8], [0, 0]]]], [[8, 3, 4, 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, 4, 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, 4, 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, 7, 6, 7, 1], [v = 1, And(-1 < u,u < 0), x = -u^2, -2
*u^2+2 < y, 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, 7, 2], [v = 1, And(-1 < u,u < 0), x = -
u^2, -2*u^2+2 < y, 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, 7, 3
], [v = 1, And(-1 < u,u < 0), x = -u^2, -2*u^2+2 < y, 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, 7, 4], [v = 1, And(-1 < u,u < 0), x
= -u^2, -2*u^2+2 < y, 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, 7, 5]
, [v = 1, And(-1 < u,u < 0), x = -u^2, -2*u^2+2 < y, (u^2+y)^(1/2) < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1/4, -1/4], [3, 3], [3, 3]]]], [[8, 9,
6, 1, 1], [v = 1, And(0 < u,u < 1), x = -u^2, y < -u^2, z = z], [regular_chain
, [[1, 1], [1/2, 1/2], [-1/4, -1/4], [-2, -2], [0, 0]]]], [[8, 15, 1, 7, 1], [
v = 1, 3^(1/2) < u, x < -u^2, And(u^2+x < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [-10, -10], [-1/2, -1/2], [-5, -5]]]], [[8, 15
, 1, 7, 2], [v = 1, 3^(1/2) < u, x < -u^2, And(u^2+x < y,y < 0), z = -(y-x)^(1
/2)], [regular_chain, [[1, 1], [3, 3], [-10, -10], [-1/2, -1/2], [-3231929/
1048576, -403991/131072]]]], [[8, 15, 1, 7, 3], [v = 1, 3^(1/2) < u, x < -u^2,
And(u^2+x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[1, 1], [3, 3], [-10, -10], [-1/2, -1/2], [0, 0]]]], [[8, 15, 1, 7, 4], [v =
1, 3^(1/2) < u, x < -u^2, And(u^2+x < y,y < 0), z = (y-x)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [-10, -10], [-1/2, -1/2], [403991/131072, 
3231929/1048576]]]], [[8, 15, 1, 7, 5], [v = 1, 3^(1/2) < u, x < -u^2, And(u^2
+x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [3, 3], [-10, -10],
[-1/2, -1/2], [5, 5]]]], [[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 = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [1, 1], [-7, -7], [0, 0]]]], [[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 < x, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/2097152], [-2, -\
2], [0, 0]]]], [[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-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-225185/1048576, -225185/1048576], [3, 3], [-3, -3]]]], [[9
, 7, 7, 9, 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), x-u^2+v^2+1 < y, z = -(y-x)^(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, 9, 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), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(
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, 9, 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), x-u^2+v^2+1 < y, z = (y-x)^(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, 9, 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), x-u^2+v^2+1 < y, (y-x)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-225185/1048576, -225185/1048576], [3, 3], [3, 3]]]], [[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 = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [0, 0], [-2, -2], [0, 0]]]], [[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 = 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],
[-299103/1048576, -149551/524288], [-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 = 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],
[-299103/1048576, -149551/524288], [-1374407/2097152, -687203/1048576]]]], [[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 = u^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], [-299103/1048576,
-149551/524288], [0, 0]]]], [[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 = 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], [-299103/1048576,
-149551/524288], [687203/1048576, 171801/262144]]]], [[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
= 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], [-299103/1048576, -149551/524288], [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 < -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [501965/2097152, 
501965/2097152], [4, 4], [-3, -3]]]], [[9, 15, 7, 9, 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), u^2-v^
2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9,
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), u^2-v^2+x+1 < y, z = (y-x)^(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, 9,
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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [898327/524288, 898327/524288], [501965/2097152, 
501965/2097152], [4, 4], [3, 3]]]], [[9, 17, 5, 3, 1], [And(1 < v,v < 2^(1/2))
, (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(x-u^2+v^2+1 < y,y < x), z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1/2, -1/2], [-\
7909297/2097152, -7909297/2097152], [0, 0]]]], [[10, 5, 6, 2, 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], [-275385/524288, -1101539/2097152], [-1, -1]
]]], [[10, 5, 6, 2, 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], [-275385/
524288, -1101539/2097152], [0, 0]]]], [[10, 5, 6, 2, 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], [-275385/524288, -1101539/2097152], [1, 1]]]], [[10
, 7, 7, 3, 1], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), And(x
< y,y < 0), z < -(y-x)^(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, 3, 2],
[v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), And(x < y,y < 0), z =
-(y-x)^(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, 3,
3], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), And(x < y,y < 0),
And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3,
4], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), And(x < y,y < 0),
z = (y-x)^(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, 3, 5
], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), And(x < y,y < 0),
(y-x)^(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, 6, 1, 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], [-2, -2], [0, 0]]]], [[10, 13, 5, 4, 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], [-284633/1048576, -\
35579/131072], [-2, -2]]]], [[10, 13, 5, 4, 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], [-284633/1048576, -35579/131072], [-1417877/
2097152, -354469/524288]]]], [[10, 13, 5, 4, 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], [-284633/1048576, -\
35579/131072], [0, 0]]]], [[10, 13, 5, 4, 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], [-284633/1048576, -35579/131072], [354469/524288,
708939/1048576]]]], [[10, 13, 5, 4, 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], [-284633/1048576, -35579/131072], [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 < -(y-x)^(1/2)], [regular_chain, [[3,
3], [-3396811/1048576, -3396811/1048576], [-915943/524288, -915943/524288], [2
, 2], [-3, -3]]]], [[11, 3, 3, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(1/2)
], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-915943/
524288, -915943/524288], [2, 2], [-4059505/2097152, -16238019/8388608]]]], [[
11, 3, 3, 9, 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), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2)
)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-915943/
524288, -915943/524288], [2, 2], [-3/16777216, -3/16777216]]]], [[11, 3, 3, 9,
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), u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [-915943/524288, -915943/524288], [2, 2],
[253719/131072, 2029753/1048576]]]], [[11, 3, 3, 9, 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), u^2-v^2+x+1 <
y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [-915943/524288, -915943/524288], [2, 2], [3, 3]]]], [[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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [-\
1041671/1048576, -1041671/1048576], [-2, -2]]]], [[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(x < y,y < x
-u^2+v^2+1), z = -(y-x)^(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, 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(x
< y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[3, 3], [-403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152
], [-1041671/1048576, -1041671/1048576], [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(x < y,y
< x-u^2+v^2+1), z = (y-x)^(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, 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(x < y
,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-403851/131072,
-403851/131072], [-2614535/2097152, -2614535/2097152], [-1041671/1048576, -\
1041671/1048576], [2, 2]]]], [[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 = x, z < 0], [regular_chain,
[[3, 3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2], [-1/2, -1/2], [
-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [-1/2, -1/2], [-1/2, -1/2], [0, 0]]]], [
[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 = x, 0 < z], [regular_chain, [[3, 3], [-22960369/8388608,
-22960369/8388608], [-1/2, -1/2], [-1/2, -1/2], [1, 1]]]], [[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, 0 < y,
z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-10, -10], [1, 1]
, [-5, -5]]]], [[11, 11, 2, 7, 2], [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 = -(y-u^2+v^2+1)^(1/2)], [regular_chain,
[[3, 3], [0, 0], [-10, -10], [1, 1], [-1738867/524288, -3477733/1048576]]]], [
[11, 11, 2, 7, 3], [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, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [
regular_chain, [[3, 3], [0, 0], [-10, -10], [1, 1], [0, 0]]]], [[11, 11, 2, 7,
4], [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 = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-10, -10], [1
, 1], [3477733/1048576, 1738867/524288]]]], [[11, 11, 2, 7, 5], [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, (y-u^2+v^2+1)
^(1/2) < z], [regular_chain, [[3, 3], [0, 0], [-10, -10], [1, 1], [5, 5]]]], [
[11, 16, 5, 2, 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, 1,
1], [2^(1/2) < v, u = (v^2+1)^(1/2), x = 0, y < 0, z = z], [regular_chain, [[3
, 3], [207243/65536, 3315889/1048576], [0, 0], [-1, -1], [0, 0]]]], [[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(x-u^2+
v^2+1 < y,y < 0), z = z], [regular_chain, [[-3, -3], [-5, -5], [8, 8], [-7/2,
-7/2], [0, 0]]]], [[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 = z], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [0, 0], [-518045/1048576, -129511/262144],
[0, 0]]]], [[1, 7, 9, 2, 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, 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 =
x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [533035/2097152, 533035/2097152], [2896705/
1048576, 1448353/524288], [-3, -3]]]], [[1, 9, 7, 8, 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-u^2+v^2
+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [533035/2097152, 533035/2097152], [2896705/1048576, 1448353
/524288], [-3321417/2097152, -415177/262144]]]], [[1, 9, 7, 8, 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-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], [533035/
2097152, 533035/2097152], [2896705/1048576, 1448353/524288], [0, 0]]]], [[1, 9
, 7, 8, 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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [
[-3, -3], [-22960369/8388608, -22960369/8388608], [533035/2097152, 533035/
2097152], [2896705/1048576, 1448353/524288], [415177/262144, 1660709/1048576]]
]], [[1, 9, 7, 8, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [533035/
2097152, 533035/2097152], [2896705/1048576, 1448353/524288], [3, 3]]]], [[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 < x, z = z], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-3, -3], [-4, -4], [0, 0]]]], [[1, 20, 9, 3, 1], [v <
-2^(1/2), u = (v^2+2)^(1/2), 1 < x, And(0 < y,y < x-1), z = z], [regular_chain
, [[-3, -3], [3477733/1048576, 1738867/524288], [2, 2], [1/2, 1/2], [0, 0]]]],
[[2, 1, 5, 9, 1], [v = -2^(1/2), u < -2, And(-1 < x,x < 0), u^2+x-1 < y, z < -
(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [
-1/2, -1/2], [9, 9], [-5, -5]]]], [[2, 1, 5, 9, 2], [v = -2^(1/2), u < -2, And
(-1 < x,x < 0), u^2+x-1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [-1/2, -1/2], [9, 9], [-3231929/1048576, -\
403991/131072]]]], [[2, 1, 5, 9, 3], [v = -2^(1/2), u < -2, And(-1 < x,x < 0),
u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [-1/2, -1/2], [9, 9], [0, 0]]]], [
[2, 1, 5, 9, 4], [v = -2^(1/2), u < -2, And(-1 < x,x < 0), u^2+x-1 < y, z = (y
-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1
/2, -1/2], [9, 9], [403991/131072, 3231929/1048576]]]], [[2, 1, 5, 9, 5], [v =
-2^(1/2), u < -2, And(-1 < x,x < 0), u^2+x-1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1/2, -1/2], [9
, 9], [5, 5]]]], [[2, 10, 7, 1, 1], [v = -2^(1/2), u = 0, And(0 < x,x < 1), y
< x-1, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [1
/2, 1/2], [-2, -2], [0, 0]]]], [[2, 12, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 16, 8, 3, 1], [v = -
2^(1/2), u = 3^(1/2), x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [1, 1], [1
/2, 1/2], [0, 0]]]], [[2, 18, 5, 4, 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, 4, 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, 4,
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, 3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = 0, 
And(0 < y,y < 2), 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(0 < y
,y < 2), 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(0 < y,y < 2), 
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(0 < y,y
< 2), 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(0 < y,y < 2), 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 = 0, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [1/2
, 1/2], [0, 0], [0, 0]]]], [[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 < 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [2, 2], [-1, -1], [0, 0]]]], [[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 < x+2), z < -(y-x)^(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, 5, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(0 < x,
x < 1), And(x < y,y < x+2), z = -(y-x)^(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, 5, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)
^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(
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, 5, 4],
[And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y <
x+2), z = (y-x)^(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, 5, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(0 < x,x < 1), And(
x < y,y < x+2), (y-x)^(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, 4, 8, 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, 8,
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, 8, 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, 8, 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, 8, 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, 2, 3, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, And(-2*
u^2+2 < y,y < -u^2), z = z], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [-2594959/1048576, -1297479/524288], [-22750895/8388608, -\
22750895/8388608], [0, 0]]]], [[4, 5, 1, 2, 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, 2, 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
, 2, 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, 10, 7, 6, 1], [v = -1, u = 1, 1 < x, y = x+1, z < -1], [
regular_chain, [[-1, -1], [1, 1], [2, 2], [3, 3], [-2, -2]]]], [[4, 10, 7, 6,
2], [v = -1, u = 1, 1 < x, y = x+1, z = -1], [regular_chain, [[-1, -1], [1, 1]
, [2, 2], [3, 3], [-1, -1]]]], [[4, 10, 7, 6, 3], [v = -1, u = 1, 1 < x, y = x
+1, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [1, 1], [2, 2], [3, 3], [0,
0]]]], [[4, 10, 7, 6, 4], [v = -1, u = 1, 1 < x, y = x+1, z = 1], [
regular_chain, [[-1, -1], [1, 1], [2, 2], [3, 3], [1, 1]]]], [[4, 10, 7, 6, 5]
, [v = -1, u = 1, 1 < x, y = x+1, 1 < z], [regular_chain, [[-1, -1], [1, 1], [
2, 2], [3, 3], [2, 2]]]], [[4, 12, 8, 3, 1], [v = -1, u = 2^(1/2), x = 1, And(
0 < y,y < 1), z = z], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [1, 1], [1/2, 1/2], [0, 0]]]], [[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 < -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-1/2, -1/2], [11, 11], [-5, -5]]]], [
[5, 1, 5, 9, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), u^
2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1
/2, -1/2], [11, 11], [-3555895/1048576, -1777947/524288]]]], [[5, 1, 5, 9, 3],
[And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), u^2-v^2+x+1 < y, 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3, -3
], [-1/2, -1/2], [11, 11], [0, 0]]]], [[5, 1, 5, 9, 4], [And(-1 < v,v < 0), u
< -(v^2+2)^(1/2), And(-1 < x,x < 0), u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-1/2, -1/2], [11, 11], [1777947/
524288, 3555895/1048576]]]], [[5, 1, 5, 9, 5], [And(-1 < v,v < 0), u < -(v^2+2
)^(1/2), And(-1 < x,x < 0), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain,
[[-1/2, -1/2], [-3, -3], [-1/2, -1/2], [11, 11], [5, 5]]]], [[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 < x-u^2+v^2+1, z = z], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [-1815885/1048576, -1815885/1048576], [-4, -4], [0, 0
]]]], [[5, 12, 7, 3, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(0 < x,x <
1), And(x-1 < 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, 2, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 1, 1], [v = 0, 
And(0 < u,u < 1), x = -1, y < -1, z = z], [regular_chain, [[0, 0], [1/2, 1/2],
[-1, -1], [-2, -2], [0, 0]]]], [[7, 1, 5, 4, 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, 4, 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, 4, 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, 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(-2*u^2+2*v^2 < y,y < -u^2+v^2-1), z = z], [regular_chain
, [[1/2, 1/2], [-343151/262144, -343151/262144], [-2583195/1048576, -1291597/
524288], [-45219451/16777216, -45219451/16777216], [0, 0]]]], [[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(x < y,
y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-7/
8, -7/8], [-1/2, -1/2], [-2, -2]]]], [[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(x < y,y < u^2-v^2+x+1), z = -(y
-x)^(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, 3, 3], [And(0 < v,v < 1), 
And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1), And(x < y,y < u^2-v^2+x+1), And
(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [-7/
8, -7/8], [-1/2, -1/2], [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(x < y,y < u^2-v^2+x+1), z = (y-x)^
(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, 3, 5], [And(0 < v,v < 1), And(-v
< u,u < v), And(-1 < x,x < -u^2+v^2-1), And(x < y,y < u^2-v^2+x+1), (y-x)^(1/2
) < z], [regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [-1/2, -1/2], [2, 2
]]]], [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1672995/
2097152, -1672995/2097152], [636235/2097152, 636235/2097152], [-3, -3]]]], [[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(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[1
/2, 1/2], [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/
2097152], [636235/2097152, 636235/2097152], [-1100319/1048576, -550159/524288]
]]], [[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(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-\
1672995/2097152, -1672995/2097152], [636235/2097152, 636235/2097152], [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(0 < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain
, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995
/2097152], [636235/2097152, 636235/2097152], [550159/524288, 1100319/1048576]]
]], [[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(0 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1672995/
2097152, -1672995/2097152], [636235/2097152, 636235/2097152], [3, 3]]]], [[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 = -1, z < 0], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144
], [-1, -1], [-1, -1], [-1, -1]]]], [[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 = -1, z = 0], [regular_chain,
[[1/2, 1/2], [343151/262144, 343151/262144], [-1, -1], [-1, -1], [0, 0]]]], [[
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 = -1, 0 < z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/
262144], [-1, -1], [-1, -1], [1, 1]]]], [[7, 13, 1, 7, 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 < 0), z < -(y-x)^(1/2
)], [regular_chain, [[1/2, 1/2], [3, 3], [-11, -11], [-5/8, -5/8], [-5, -5]]]]
, [[7, 13, 1, 7, 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 < 0), z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3
], [-11, -11], [-5/8, -5/8], [-1688745/524288, -3377489/1048576]]]], [[7, 13,
1, 7, 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 < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1
/2], [3, 3], [-11, -11], [-5/8, -5/8], [0, 0]]]], [[7, 13, 1, 7, 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 < 0), z = (
y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-11, -11], [-5/8, -5/8], [
3377489/1048576, 1688745/524288]]]], [[7, 13, 1, 7, 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 < 0), (y-x)^(1/2) < z],
[regular_chain, [[1/2, 1/2], [3, 3], [-11, -11], [-5/8, -5/8], [5, 5]]]], [[8,
3, 7, 5, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), And
(0 < y,y < x), 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 =
2*u^2-2, z < u], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576]
, [-1138531/2097152, -569265/1048576], [958621/1048576, 479311/524288], [-3, -\
3]]]], [[8, 5, 6, 6, 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], [958621/1048576, 479311/524288], [-1265743/
1048576, -1265743/1048576]]]], [[8, 5, 6, 6, 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], [
958621/1048576, 479311/524288], [0, 0]]]], [[8, 5, 6, 6, 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], [
958621/1048576, 479311/524288], [1265743/1048576, 1265743/1048576]]]], [[8, 5,
6, 6, 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], [958621/1048576, 479311/524288], [3, 3]]]], [[8, 11
, 6, 1, 1], [v = 1, And(1 < u,u < 2^(1/2)), x = u^2-2, y < u^2-2, z = z], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1138531/2097152,
-569265/1048576], [-2, -2], [0, 0]]]], [[8, 13, 5, 4, 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, 4, 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, 4, 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, 11,
2, 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, 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 < 2*u^2-2*v^2), z <
-(y-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [501965/1048576, 250983/524288], [
3603049/2097152, 3603049/2097152], [-3, -3]]]], [[9, 3, 8, 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^2-1 < y,y < 2*u^2-2*v^2), z = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [
501965/1048576, 250983/524288], [3603049/2097152, 3603049/2097152], [-583671/
524288, -1167341/1048576]]]], [[9, 3, 8, 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^2-1 < y,y < 2*
u^2-2*v^2), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [501965/1048576, 250983/524288], [3603049/2097152, 3603049/
2097152], [0, 0]]]], [[9, 3, 8, 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^2-1 < y,y < 2*u^2-2*v^2
), z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [501965/1048576, 250983/
524288], [3603049/2097152, 3603049/2097152], [1167341/1048576, 583671/524288]]
]], [[9, 3, 8, 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^2-1 < y,y < 2*u^2-2*v^2), (y-u^2+v^2+1)^
(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [501965/1048576, 250983/524288], [3603049/2097152
, 3603049/2097152], [3, 3]]]], [[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(x-u^2+v^2+1 < y,y <
0), z < -(y-x)^(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(x-u^2
+v^2+1 < y,y < 0), z = -(y-x)^(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(x-u^2+v^2+1 < y,y < 0), And(-(y-
x)^(1/2) < z,z < (y-x)^(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(x-u^2+v^2+1 < y,y < 0), z = (y-x)^(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(x-u^2+v^2+1 < y,y < 0), (y-x)
^(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 < -(u^2-v
^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [-1, -1], [1550541/1048576, 775271/524288], [-3, -3]]]
], [[9, 15, 4, 8, 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], [
1550541/1048576, 775271/524288], [-3301741/2097152, -825435/524288]]]], [[9, 
15, 4, 8, 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], [1550541/1048576, 775271/524288], [0, 0]]]], [[9, 15, 4, 8,
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], [1550541/1048576,
775271/524288], [825435/524288, 1650871/1048576]]]], [[9, 15, 4, 8, 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], [1550541/1048576, 775271/524288],
[3, 3]]]], [[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-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [505467
/2097152, 505467/2097152], [4, 4], [-3, -3]]]], [[10, 3, 7, 9, 2], [v = 2^(1/2
), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), u^2+x-1 < y, z = -(y-x)^(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, 9, 3], [v = 2^(1/2), And(-2 < u,u
< -3^(1/2)), And(0 < x,x < u^2-3), u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152
, -3913339/2097152], [505467/2097152, 505467/2097152], [4, 4], [0, 0]]]], [[10
, 3, 7, 9, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), u
^2+x-1 < y, z = (y-x)^(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, 9, 5], [v = 2^(1/2), And(
-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), u^2+x-1 < y, (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [505467/2097152, 505467/2097152], [4, 4], [3, 3]]]], [[10, 9, 5, 6,
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, 6, 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, 6, 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, 6, 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, 6, 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, 11, 3, 2, 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, 5,
3, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), And(x < y,
y < x-u^2+3), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-3198693/4194304, -3198693/
4194304], [-4194305/8388608, -4194305/8388608], [-2, -2]]]], [[10, 15, 5, 3, 2
], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), And(x < y,y <
x-u^2+3), z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [3299097/2097152, 3299097/2097152], [-3198693/4194304, -3198693/4194304], [-\
4194305/8388608, -4194305/8388608], [-1074733/2097152, -268683/524288]]]], [[
10, 15, 5, 3, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3),
And(x < y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-\
3198693/4194304, -3198693/4194304], [-4194305/8388608, -4194305/8388608], [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(x < y,y < x-u^2+3), z = (y-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-3198693/
4194304, -3198693/4194304], [-4194305/8388608, -4194305/8388608], [268683/
524288, 537367/1048576]]]], [[10, 15, 5, 3, 5], [v = 2^(1/2), And(v < u,u < 3^
(1/2)), And(-1 < x,x < u^2-3), And(x < y,y < x-u^2+3), (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-3198693/4194304, -3198693/4194304], [-4194305/8388608, -4194305/
8388608], [2, 2]]]], [[10, 17, 4, 6, 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,
6, 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, 6, 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, 6, 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, 6
, 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, 1, 1], [v = 2^(1/2), 2 < u
, x < -u^2+1, y < x-u^2+3, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [-9, -9], [-16, -16], [0, 0]]]], [[11, 1, 7, 4, 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, 6, 2, 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], [-531193/1048576, -1062385/2097152], [-1, -1]]]], [[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 = u^2-
v^2-1, z = 0], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-\
531193/1048576, -1062385/2097152], [-531193/1048576, -1062385/2097152], [0, 0]
]]], [[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 = u^2-v^2-1, 0 < z], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [-531193/1048576, -1062385/2097152], [-531193/1048576, -\
1062385/2097152], [1, 1]]]], [[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(x < y,y < 0), z < -(y-x)^(1/2)]
, [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-516571/
2097152, -516571/2097152], [-258285/2097152, -258285/2097152], [-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(x < y,y < 0), z = -(y-x)^(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, 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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-516571/2097152
, -516571/2097152], [-258285/2097152, -258285/2097152], [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(x < y,y < 0), z = (y-x)^(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, 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(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152
, -6111549/2097152], [-516571/2097152, -516571/2097152], [-258285/2097152, -\
258285/2097152], [2, 2]]]], [[11, 12, 8, 2, 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, 1, 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], [-1, -1], [0, 0]]]], [[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 < x-u^2+v^2
+1, z = z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-4,
-4], [-6, -6], [0, 0]]]], [[11, 20, 7, 4, 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, 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 < x, z = z], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1579769/2097152,
-1579769/2097152], [-2, -2], [0, 0]]]], [[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(u^2-v^2+x+1 < y,y < 0
), z < -(y-x)^(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(u^2-v^2+x+1 < y,y < 0), z = -(y-x)^(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(u^2-v^2+x+1 < y,y < 0), And(-(y-x)^(1/
2) < z,z < (y-x)^(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(u^2-v^2+x+1 < y,y < 0
), z = (y-x)^(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(u^2-v^2+x+1 < y,y < 0),
(y-x)^(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(0 < y,y < -u^2+v^2), z < -(y+1)^(1/2)], [regular_chain
, [[-3, -3], [0, 0], [-1, -1], [9/2, 9/2], [-4, -4]]]], [[1, 11, 4, 7, 2], [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), z = -(y+1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-1, -1], [9/2
, 9/2], [-2459129/1048576, -307391/131072]]]], [[1, 11, 4, 7, 3], [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),
And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-3, -3], [0, 0], [-1
, -1], [9/2, 9/2], [0, 0]]]], [[1, 11, 4, 7, 4], [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), z = (y+1)^(1/2)]
, [regular_chain, [[-3, -3], [0, 0], [-1, -1], [9/2, 9/2], [307391/131072, 
2459129/1048576]]]], [[1, 11, 4, 7, 5], [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), (y+1)^(1/2) < z], [
regular_chain, [[-3, -3], [0, 0], [-1, -1], [9/2, 9/2], [4, 4]]]], [[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-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [1435023
/524288, 1435023/524288], [-4, -4], [-391029/262144, -1564115/1048576], [-3, -\
3]]]], [[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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain,
[[-3, -3], [1435023/524288, 1435023/524288], [-4, -4], [-391029/262144, -\
1564115/1048576], [-3321417/2097152, -415177/262144]]]], [[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-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], [-4, -4], [-391029/262144, -\
1564115/1048576], [0, 0]]]], [[1, 13, 1, 6, 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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1
/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-4, -4], [
-391029/262144, -1564115/1048576], [415177/262144, 1660709/1048576]]]], [[1, 
13, 1, 6, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [-4, -4], [-391029/262144, -1564115/1048576],
[3, 3]]]], [[1, 18, 8, 5, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 1, And(1 <
y,y < 3), z < -(y-1)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889
/1048576], [1, 1], [2, 2], [-2, -2]]]], [[1, 18, 8, 5, 2], [v < -2^(1/2), u =
(v^2+1)^(1/2), x = 1, And(1 < y,y < 3), z = -(y-1)^(1/2)], [regular_chain, [[-\
3, -3], [207243/65536, 3315889/1048576], [1, 1], [2, 2], [-1, -1]]]], [[1, 18,
8, 5, 3], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 1, And(1 < y,y < 3), 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, 5, 4], [v < -2^(1/2),
u = (v^2+1)^(1/2), x = 1, And(1 < y,y < 3), z = (y-1)^(1/2)], [regular_chain,
[[-3, -3], [207243/65536, 3315889/1048576], [1, 1], [2, 2], [1, 1]]]], [[1, 18
, 8, 5, 5], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 1, And(1 < y,y < 3), (y-1)^(
1/2) < z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [1, 1],
[2, 2], [2, 2]]]], [[1, 20, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 1, 1], [v = -2^(1/2), And
(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), y < x-u^2+3, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-3651195/2097152, -3651195/2097152], [-4, -4], [0, 0]]]], [
[2, 5, 1, 7, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, And(u^2+x
-1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [-3, -3], [-3198691/4194304, -\
3198691/4194304], [-3, -3]]]], [[2, 5, 1, 7, 2], [v = -2^(1/2), And(-3^(1/2) <
u,u < v), x < -u^2+1, And(u^2+x-1 < y,y < 0), z = -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-3, -3], [-3198691/4194304, -3198691/4194304], [-1568445/
1048576, -392111/262144]]]], [[2, 5, 1, 7, 3], [v = -2^(1/2), And(-3^(1/2) < u
,u < v), x < -u^2+1, And(u^2+x-1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1
/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304,
-6598195/4194304], [-3, -3], [-3198691/4194304, -3198691/4194304], [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-1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [-3, -3], [-3198691/4194304, -\
3198691/4194304], [392111/262144, 1568445/1048576]]]], [[2, 5, 1, 7, 5], [v =
-2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, And(u^2+x-1 < y,y < 0), (y-x)^(
1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-3, -3], [-3198691/4194304, -3198691/4194304], [3
, 3]]]], [[2, 7, 2, 3, 1], [v = -2^(1/2), And(v < u,u < -1), x = u^2-3, And(u^
2-3 < y,y < 2*u^2-4), z < -(y-u^2+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, 3, 2], [v = -2^(1/2), And(v < u,u < -1), x = u^2-3, And(u^2-3 < y,y <
2*u^2-4), z = -(y-u^2+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, 3, 3], [v = -2^(1/2), And(v < u,u < -1), x = u^2-3, And(u^2-3 < y
,y < 2*u^2-4), And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+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, 3, 4], [v = -2^(1/2), And(v < u,u < -1), x = u^2-3, And(u^2-3 <
y,y < 2*u^2-4), z = (y-u^2+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, 3, 5], [v = -2^(1/2), And(v < u,u < -1), x = u^2-3, And(
u^2-3 < y,y < 2*u^2-4), (y-u^2+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, 2, 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, 9, 2, 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, 7, 6, 1], [v = -2^(1/2), u = -v, 1 < x, y = x+1,
z < -1], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288,
1482911/1048576], [2, 2], [3, 3], [-2, -2]]]], [[2, 14, 7, 6, 2], [v = -2^(1/2
), u = -v, 1 < x, y = x+1, z = -1], [regular_chain, [[-1482911/1048576, -\
741455/524288], [741455/524288, 1482911/1048576], [2, 2], [3, 3], [-1, -1]]]],
[[2, 14, 7, 6, 3], [v = -2^(1/2), u = -v, 1 < x, y = x+1, And(-1 < z,z < 1)],
[regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [2, 2], [3, 3], [0, 0]]]], [[2, 14, 7, 6, 4], [v = -2^(1/2), u = -v,
1 < x, y = x+1, z = 1], [regular_chain, [[-1482911/1048576, -741455/524288], [
741455/524288, 1482911/1048576], [2, 2], [3, 3], [1, 1]]]], [[2, 14, 7, 6, 5],
[v = -2^(1/2), u = -v, 1 < x, y = x+1, 1 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [741455/524288, 1482911/1048576], [2, 2], [3, 3], [2
, 2]]]], [[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], [-4478937/
524288, -8957873/1048576], [-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], [-4478937/524288, -8957873/1048576], [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], [-4478937/524288, -8957873/
1048576], [1, 1]]]], [[3, 2, 8, 3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)
^(1/2), x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3899297/2097152, -7798593/4194304], [1, 1], [1/2, 1/2], [0
, 0]]]], [[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 < u^2-v^2-1, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3293563/
2097152, -1646781/1048576], [-3, -3], [0, 0]]]], [[3, 8, 9, 7, 1], [And(-2^(1/
2) < v,v < -1), u = -(v^2-1)^(1/2), 1 < x, x+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [2, 2], [5, 5], [-3, -3]]]], [[3, 8, 9, 7, 2], [And(-2^(1/2) <
v,v < -1), u = -(v^2-1)^(1/2), 1 < x, x+2 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [2, 2], [5, 5], [-1816187/1048576, -3632373/2097152]]]], [[3,
8, 9, 7, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), 1 < x, x+2 < y, 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [2, 2], [5, 5], [-1/
4194304, -1/4194304]]]], [[3, 8, 9, 7, 4], [And(-2^(1/2) < v,v < -1), u = -(v^
2-1)^(1/2), 1 < x, x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [2, 2], [5, 5]
, [908093/524288, 1816187/1048576]]]], [[3, 8, 9, 7, 5], [And(-2^(1/2) < v,v <
-1), u = -(v^2-1)^(1/2), 1 < x, x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [2, 2]
, [5, 5], [3, 3]]]], [[4, 1, 1, 7, 1], [v = -1, u < -3^(1/2), x < -u^2, And(u^
2+x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-10,
-10], [-1/2, -1/2], [-5, -5]]]], [[4, 1, 1, 7, 2], [v = -1, u < -3^(1/2), x <
-u^2, And(u^2+x < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-3,
-3], [-10, -10], [-1/2, -1/2], [-3231929/1048576, -403991/131072]]]], [[4, 1,
1, 7, 3], [v = -1, u < -3^(1/2), x < -u^2, And(u^2+x < y,y < 0), And(-(y-x)^(1
/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-3, -3], [-10, -10], [-\
1/2, -1/2], [0, 0]]]], [[4, 1, 1, 7, 4], [v = -1, u < -3^(1/2), x < -u^2, And(
u^2+x < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-10,
-10], [-1/2, -1/2], [403991/131072, 3231929/1048576]]]], [[4, 1, 1, 7, 5], [v
= -1, u < -3^(1/2), x < -u^2, And(u^2+x < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [-3, -3], [-10, -10], [-1/2, -1/2], [5, 5]]]], [[4,
2, 7, 6, 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, 6, 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, 6, 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, 1, 6, 1
], [v = -1, And(-1 < u,u < 0), x < u^2-2, y = x-u^2+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, 6, 2], [v = -1, And(-1 < u,u < 0), x < u^2-2, y = x-u^2+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, 6, 3], [v = -1, And(-1 < u,u <
0), x < u^2-2, y = x-u^2+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, 6, 4], [v = -1, And(-1 < u,u < 0), x < u^2-2, y = x-u^2+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, 6, 5], [v = -1, And(-1 < u,u < 0),
x < u^2-2, y = x-u^2+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, 3, 1], [v = -1, u = 0, 1
< x, And(0 < y,y < x), z = z], [regular_chain, [[-1, -1], [0, 0], [2, 2], [1,
1], [0, 0]]]], [[4, 14, 5, 4, 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, 4, 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, 4, 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, 2, 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 = z], [regular_chain, [[-1/2, -1/2], [-3, -3]
, [-39/4, -39/4], [-109/8, -109/8], [0, 0]]]], [[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 < 0
), z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-3, -3], [-3345989/4194304, -3345989/4194304], [-3, -3]]]],
[[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 < 0), z = -(y-x)^(1/2)], [regular_chain, [[-1/2,
-1/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [-3345989/4194304, -\
3345989/4194304], [-1556087/1048576, -778043/524288]]]], [[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 < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2
, -1/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [-3345989/4194304, -\
3345989/4194304], [0, 0]]]], [[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 < 0), z = (y-x)^(1/2
)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-3,
-3], [-3345989/4194304, -3345989/4194304], [778043/524288, 1556087/1048576]]]]
, [[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 < 0), (y-x)^(1/2) < z], [regular_chain, [[-1/2,
-1/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [-3345989/4194304, -\
3345989/4194304], [3, 3]]]], [[5, 7, 2, 2, 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, 2, 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, 2, 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, 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 < 0), z < -(u^2-v^2+y+1)^(1/2)], [regular_chain,
[[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-736367/524288, -1472733/
1048576], [-3393259/8388608, -3393259/8388608], [-3, -3]]]], [[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 < 0), z = -(u^2-v^2+y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [-736367/524288, -1472733/1048576], [-\
3393259/8388608, -3393259/8388608], [-1048577/1048576, -1]]]], [[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 < 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], [-3393259/8388608, -3393259/8388608], [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 < 0), z = (u^2-v^2+y+1)^(1/2)], [regular_chain, [[
-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-736367/524288, -1472733/
1048576], [-3393259/8388608, -3393259/8388608], [1, 1048577/1048576]]]], [[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 < 0), (u^2-v^2+y+1)^(1/2) < z], [regular_chain, [[-1/
2, -1/2], [1696631/2097152, 1696631/2097152], [-736367/524288, -1472733/
1048576], [-3393259/8388608, -3393259/8388608], [3, 3]]]], [[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 = x, z < 0], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144],
[-4, -4], [-4, -4], [-1, -1]]]], [[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 = x, z = 0], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-4, -4], [-4, -\
4], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-1/2, -1/2]
, [343151/262144, 343151/262144], [-4, -4], [-4, -4], [1, 1]]]], [[6, 1, 7, 8,
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, 8, 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, 8, 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, 8, 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, 8, 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, 7, 1], [v = 0, And(-2^(1/2) < u,
u < -1), x = -1, And(0 < y,y < u^2), z < -(y+1)^(1/2)], [regular_chain, [[0, 0
], [-1265743/1048576, -1265743/1048576], [-1, -1], [763943/1048576, 763943/
1048576], [-3, -3]]]], [[6, 3, 4, 7, 2], [v = 0, And(-2^(1/2) < u,u < -1), x =
-1, And(0 < y,y < u^2), z = -(y+1)^(1/2)], [regular_chain, [[0, 0], [-1265743/
1048576, -1265743/1048576], [-1, -1], [763943/1048576, 763943/1048576], [-\
689305/524288, -1378609/1048576]]]], [[6, 3, 4, 7, 3], [v = 0, And(-2^(1/2) <
u,u < -1), x = -1, And(0 < y,y < u^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))],
[regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1, -1], [
763943/1048576, 763943/1048576], [0, 0]]]], [[6, 3, 4, 7, 4], [v = 0, And(-2^(
1/2) < u,u < -1), x = -1, And(0 < y,y < u^2), z = (y+1)^(1/2)], [regular_chain
, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1, -1], [763943/1048576, 
763943/1048576], [1378609/1048576, 689305/524288]]]], [[6, 3, 4, 7, 5], [v = 0
, And(-2^(1/2) < u,u < -1), x = -1, And(0 < y,y < u^2), (y+1)^(1/2) < z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1, -1], [
763943/1048576, 763943/1048576], [3, 3]]]], [[6, 9, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = 0, u = 2^(1/2), x = 1, And(1 < y,y < 4),
z < -(y-1)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576],
[1, 1], [5/2, 5/2], [-3, -3]]]], [[6, 10, 8, 5, 2], [v = 0, u = 2^(1/2), x = 1
, And(1 < y,y < 4), 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, 5, 3], [v = 0, u = 2^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 4], [v = 0, u = 2^(1/2
), x = 1, And(1 < y,y < 4), 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, 5, 5], [v = 0, u = 2^(1/2), x = 1, And(1 < y,y < 4), (y-1)^(
1/2) < z], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [1, 1],
[5/2, 5/2], [3, 3]]]], [[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 < -(y-x)^(1/2)]
, [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1/2, -1/2],
[3, 3], [-3, -3]]]], [[7, 3, 5, 9, 2], [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 = -(y-x)^(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, 9, 3], [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, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [-1/2, -1/2], [3, 3], [0, 0]]]], [[7, 3, 5, 9,
4], [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 = (y-x)^(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, 9, 5], [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, (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1/2, -1/2], [3
, 3], [3, 3]]]], [[7, 5, 4, 8, 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], [-3, -3]]]], [[7, 5, 4, 8, 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], [-19417/16384, -1242687/1048576]]]], [[7, 5, 4, 8, 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], [0, 0]]
]], [[7, 5, 4, 8, 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], [
1242687/1048576, 19417/16384]]]], [[7, 5, 4, 8, 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], [3, 3]]]], [[8, 1, 7, 2, 1], [v = 1, u < -3^(1
/2), And(0 < x,x < 1), y = x-u^2+2, z = z], [regular_chain, [[1, 1], [-3, -3],
[1/2, 1/2], [-13/2, -13/2], [0, 0]]]], [[8, 3, 4, 5, 1], [v = 1, And(-3^(1/2)
< u,u < -2^(1/2)), x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = -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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 1], [v = 1, And(0 < u
,u < 1), And(-1 < x,x < -u^2), x-u^2+2 < y, z < -(y-x)^(1/2)], [regular_chain,
[[1, 1], [1/2, 1/2], [-5/8, -5/8], [3, 3], [-3, -3]]]], [[8, 9, 5, 9, 2], [v =
1, And(0 < u,u < 1), And(-1 < x,x < -u^2), x-u^2+2 < y, z = -(y-x)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [3, 3], [-7985717/4194304, -\
15971433/8388608]]]], [[8, 9, 5, 9, 3], [v = 1, And(0 < u,u < 1), And(-1 < x,x
< -u^2), x-u^2+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[1, 1], [1/2, 1/2], [-5/8, -5/8], [3, 3], [-1/16777216, -1/16777216]]]], [[8,
9, 5, 9, 4], [v = 1, And(0 < u,u < 1), And(-1 < x,x < -u^2), x-u^2+2 < y, z =
(y-x)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [3, 3], [
1996429/1048576, 998215/524288]]]], [[8, 9, 5, 9, 5], [v = 1, And(0 < u,u < 1)
, And(-1 < x,x < -u^2), x-u^2+2 < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1]
, [1/2, 1/2], [-5/8, -5/8], [3, 3], [3, 3]]]], [[8, 15, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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 = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [1, 1], [-11624291/2097152, -5812145/
1048576], [0, 0]]]], [[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, 2*u^2-2*v^2 < y, z < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1116679/2097152, -558339/1048576], [2, 2], [-3, -3]]]], [[
9, 5, 6, 7, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = u
^2-v^2-1, 2*u^2-2*v^2 < y, z = -(y-u^2+v^2+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, 7, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v
), x = u^2-v^2-1, 2*u^2-2*v^2 < y, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2
+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-1116679/2097152, -558339/1048576], [2, 2], [0, 0
]]]], [[9, 5, 6, 7, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v
), x = u^2-v^2-1, 2*u^2-2*v^2 < y, z = (y-u^2+v^2+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, 7, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x
= u^2-v^2-1, 2*u^2-2*v^2 < y, (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
1116679/2097152, -558339/1048576], [2, 2], [3, 3]]]], [[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-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-225185/1048576, -\
225185/1048576], [355399/262144, 1421597/1048576], [-3, -3]]]], [[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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-225185/
1048576, -225185/1048576], [355399/262144, 1421597/1048576], [-1314069/1048576
, -328517/262144]]]], [[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-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], [-225185/1048576, -\
225185/1048576], [355399/262144, 1421597/1048576], [0, 0]]]], [[9, 7, 7, 8, 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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-225185/
1048576, -225185/1048576], [355399/262144, 1421597/1048576], [328517/262144, 
1314069/1048576]]]], [[9, 7, 7, 8, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2
) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304
, -3949363/4194304], [-225185/1048576, -225185/1048576], [355399/262144, 
1421597/1048576], [3, 3]]]], [[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 = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [0, 0], [-479311/
1048576, -239655/524288], [0, 0]]]], [[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(u^2-v^2+x+1 <
y,y < 0), z < -(y-x)^(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(u
^2-v^2+x+1 < y,y < 0), z = -(y-x)^(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(u^2-v^2+x+1 < y,y < 0), And(-(y-x)^(1/2) < z,z
< (y-x)^(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(u^2-v^2+x+1 < y,y < 0
), z = (y-x)^(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(u^2-v^2+x+1 < y,y < 0), (y-x)^(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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [501965/
2097152, 501965/2097152], [2850099/1048576, 712525/262144], [-3, -3]]]], [[9,
15, 7, 8, 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], [2850099/1048576, 712525/262144], [
-3301741/2097152, -825435/524288]]]], [[9, 15, 7, 8, 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], [2850099/1048576, 712525/262144], [0, 0]]]], [[9, 15
, 7, 8, 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], [2850099/1048576, 712525/262144], [
825435/524288, 1650871/1048576]]]], [[9, 15, 7, 8, 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], [
2850099/1048576, 712525/262144], [3, 3]]]], [[9, 17, 5, 2, 1], [And(1 < v,v <
2^(1/2)), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = x-u^2+v^2+1, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1/2, -1/2], [-\
3692505/524288, -7385009/1048576], [0, 0]]]], [[10, 5, 6, 3, 1], [v = 2^(1/2),
And(-3^(1/2) < u,u < -v), x = u^2-3, And(u^2-3 < y,y < 0), z < -(y-u^2+3)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [-275385/524288, -1101539/2097152], [-1101539/4194304, -\
1101539/4194304], [-2, -2]]]], [[10, 5, 6, 3, 2], [v = 2^(1/2), And(-3^(1/2) <
u,u < -v), x = u^2-3, And(u^2-3 < y,y < 0), z = -(y-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-275385/524288, -1101539/2097152], [-1101539/4194304, -1101539/
4194304], [-268683/524288, -1074731/2097152]]]], [[10, 5, 6, 3, 3], [v = 2^(1/
2), And(-3^(1/2) < u,u < -v), x = u^2-3, And(u^2-3 < y,y < 0), And(-(y-u^2+3)^
(1/2) < z,z < (y-u^2+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [-275385/524288, -1101539/
2097152], [-1101539/4194304, -1101539/4194304], [-1/4194304, -1/4194304]]]], [
[10, 5, 6, 3, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = u^2-3, And(u^2-3
< y,y < 0), z = (y-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [-275385/524288, -1101539/
2097152], [-1101539/4194304, -1101539/4194304], [537365/1048576, 268683/524288
]]]], [[10, 5, 6, 3, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = u^2-3, 
And(u^2-3 < y,y < 0), (y-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-275385/524288, -\
1101539/2097152], [-1101539/4194304, -1101539/4194304], [2, 2]]]], [[10, 7, 7,
4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 5, 9, 1], [v =
2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), x-u^2+3 < y, z < -(y-x)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1/2, -1/2], [
4, 4], [-4, -4]]]], [[10, 11, 5, 9, 2], [v = 2^(1/2), And(0 < u,u < 1), And(-1
< x,x < 0), x-u^2+3 < y, z = -(y-x)^(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, 9, 3], [v = 2^(1/2), And(0 < u,u < 1), And(-1 < x,x
< 0), x-u^2+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [-1/2, -1/2], [4, 4], [0, 0]]]],
[[10, 11, 5, 9, 4], [v = 2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), x-u^2+3
< y, z = (y-x)^(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, 9, 5], [v = 2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), x-u^2+3 < y, (y-x
)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [
-1/2, -1/2], [4, 4], [4, 4]]]], [[10, 13, 5, 3, 1], [v = 2^(1/2), And(1 < u,u
< v), And(-1 < x,x < -u^2+1), And(x < y,y < u^2+x-1), z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-1527887/2097152, -1527887/2097152], [-2097153/4194304, -2097153/
4194304], [-2, -2]]]], [[10, 13, 5, 3, 2], [v = 2^(1/2), And(1 < u,u < v), And
(-1 < x,x < -u^2+1), And(x < y,y < u^2+x-1), z = -(y-x)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-\
1527887/2097152, -1527887/2097152], [-2097153/4194304, -2097153/4194304], [-\
31331/65536, -501295/1048576]]]], [[10, 13, 5, 3, 3], [v = 2^(1/2), And(1 < u,
u < v), And(-1 < x,x < -u^2+1), And(x < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [-2097153/
4194304, -2097153/4194304], [0, 0]]]], [[10, 13, 5, 3, 4], [v = 2^(1/2), And(1
< u,u < v), And(-1 < x,x < -u^2+1), And(x < y,y < u^2+x-1), z = (y-x)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-1527887/2097152, -1527887/2097152], [-2097153/4194304, -2097153/
4194304], [501295/1048576, 31331/65536]]]], [[10, 13, 5, 3, 5], [v = 2^(1/2),
And(1 < u,u < v), And(-1 < x,x < -u^2+1), And(x < y,y < u^2+x-1), (y-x)^(1/2)
< z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [-1527887/2097152, -1527887/2097152], [-2097153/4194304, -\
2097153/4194304], [2, 2]]]], [[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 < -
(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [-915943/524288, -915943/524288], [391655/524288, 783311/1048576], [
-3, -3]]]], [[11, 3, 3, 8, 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], [391655/524288, 783311/1048576], [-1655969/1048576, -\
3311937/2097152]]]], [[11, 3, 3, 8, 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], [391655/524288,
783311/1048576], [-1/4194304, -1/4194304]]]], [[11, 3, 3, 8, 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], [391655/524288, 783311/
1048576], [51749/32768, 1655969/1048576]]]], [[11, 3, 3, 8, 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], [391655/524288, 783311/
1048576], [3, 3]]]], [[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 = x, z < 0], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [-326817
/262144, -1307267/1048576], [-1, -1]]]], [[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 = x, z = 0], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-2614535/2097152, -\
2614535/2097152], [-326817/262144, -1307267/1048576], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-\
2614535/2097152, -2614535/2097152], [-326817/262144, -1307267/1048576], [1, 1]
]]], [[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(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^
(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = z], [regular_chain, [[3, 3], [
0, 0], [-11/2, -11/2], [-15, -15], [0, 0]]]], [[11, 16, 5, 1, 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], [-1, -1], [0, 0]]]], [[11, 18, 5, 7, 1], [2^(1/2) < v, u = (v^2+1)^(1
/2), And(-1 < x,x < 0), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [-1/2, -1/2], [3, 3], [-3, -3]]]], [[11, 18, 5
, 7, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, z = -(y-
x)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-1/2, -1
/2], [3, 3], [-7846825/4194304, -980853/524288]]]], [[11, 18, 5, 7, 3], [2^(1/
2) < v, u = (v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-1
/2, -1/2], [3, 3], [0, 0]]]], [[11, 18, 5, 7, 4], [2^(1/2) < v, u = (v^2+1)^(1
/2), And(-1 < x,x < 0), x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [-1/2, -1/2], [3, 3], [980853/524288, 1961707/
1048576]]]], [[11, 18, 5, 7, 5], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-1 < x,x
< 0), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [207243/65536, 
3315889/1048576], [-1/2, -1/2], [3, 3], [3, 3]]]], [[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], [
66399/131072, 531193/1048576], [-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], [66399/
131072, 531193/1048576], [-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], [66399/131072, 531193/1048576], [-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], [66399/131072, 531193/1048576
], [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], [66399/
131072, 531193/1048576], [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 < x, z = z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-391287/
524288, -391287/524288], [-2, -2], [0, 0]]]], [[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 = z], [
regular_chain, [[-3, -3], [0, 0], [0, 0], [-9, -9], [0, 0]]]], [[1, 12, 8, 2,
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, 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(x-u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [-915943/524288, -915943/524288], [-522727/
262144, -522727/262144], [0, 0]]]], [[1, 20, 5, 2, 1], [v < -2^(1/2), u = (v^2
+2)^(1/2), And(-1 < x,x < 0), y = x-1, z = z], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[2,
3, 4, 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, 4, 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, 4, 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, 4, 8, 1, 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], [-1, -1], [0, 0]]]], [[2, 7, 4, 7, 1], [v = -2^(1/2)
, And(v < u,u < -1), x = -1, And(0 < y,y < -u^2+2), z < -(y+1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [569265/2097152, 569265/2097152], [-3, -3]]]], [[2
, 7, 4, 7, 2], [v = -2^(1/2), And(v < u,u < -1), x = -1, And(0 < y,y < -u^2+2)
, z = -(y+1)^(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, 7, 3], [v = -2^(1/2), And(
v < u,u < -1), x = -1, And(0 < y,y < -u^2+2), And(-(y+1)^(1/2) < z,z < (y+1)^(
1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576
, -1265743/1048576], [-1, -1], [569265/2097152, 569265/2097152], [0, 0]]]], [[
2, 7, 4, 7, 4], [v = -2^(1/2), And(v < u,u < -1), x = -1, And(0 < y,y < -u^2+2
), z = (y+1)^(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, 7, 5], [v = -2^(1/2), And(v
< u,u < -1), x = -1, And(0 < y,y < -u^2+2), (y+1)^(1/2) < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-1
, -1], [569265/2097152, 569265/2097152], [3, 3]]]], [[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 = x+2, z < -2^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [2, 2], [4, 4], [-3, -3]]]], [[2, 12, 9, 6,
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, 6, 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, 6, 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, 6, 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, 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 < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [
7909297/1048576, 3954649/524288], [-4, -4]]]], [[3, 1, 4, 8, 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], [
7909297/1048576, 3954649/524288], [-1532401/524288, -24518415/8388608]]]], [[3
, 1, 4, 8, 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], [7909297/1048576, 
3954649/524288], [-7/16777216, -7/16777216]]]], [[3, 1, 4, 8, 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], [
7909297/1048576, 3954649/524288], [3064801/1048576, 1532401/524288]]]], [[3, 1
, 4, 8, 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], [7909297/1048576, 3954649/524288], [4, 4]]]], [[3, 2, 6
, 7, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 0, 3 < y, z < -y^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/
2097152, -7798593/4194304], [0, 0], [4, 4], [-3, -3]]]], [[3, 2, 6, 7, 2], [
And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 0, 3 < y, z = -y^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [0, 0], [4, 4], [-2, -2]]]], [[3, 2, 6, 7, 3], [And(-2^(1/2)
< v,v < -1), u = -(v^2+2)^(1/2), x = 0, 3 < y, 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, 7, 4], [And(-2^(1/2) <
v,v < -1), u = -(v^2+2)^(1/2), x = 0, 3 < y, z = y^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [0,
0], [4, 4], [2, 2]]]], [[3, 2, 6, 7, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+
2)^(1/2), x = 0, 3 < y, y^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3899297/2097152, -7798593/4194304], [0, 0], [4, 4], [3, 3]
]]], [[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 < 0), z < -(y-u^2+v^2+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, 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 < 0), z = -(y
-u^2+v^2+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, 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 < 0), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+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, 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 < 0), z = (y-u^2
+v^2+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, 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 < 0), (y-u^2+v^2+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, 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+2), z < -(y-x)^(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, 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+2), z = -(y-x)^(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, 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+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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+2), z = (y-x)^(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, 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+2), (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-1417877/2097152, -354469/524288], [-1/2, -1/2], [3/4, 3
/4], [3, 3]]]], [[4, 1, 5, 1, 1], [v = -1, u < -3^(1/2), And(-1 < x,x < 0), y
< x-u^2+2, z = z], [regular_chain, [[-1, -1], [-3, -3], [-1/2, -1/2], [-9, -9]
, [0, 0]]]], [[4, 2, 7, 2, 1], [v = -1, u = -3^(1/2), And(0 < x,x < 1), y = x-\
1, z = z], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [1
/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[4, 7, 3, 2, 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, 2, 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, 2, 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, 6, 2, 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, 2, 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, 2, 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, 7, 1]
, [v = -1, u = 3^(1/2), x = 1, 4 < y, z < -(y-1)^(1/2)], [regular_chain, [[-1,
-1], [908093/524288, 1816187/1048576], [1, 1], [5, 5], [-3, -3]]]], [[4, 14, 8
, 7, 2], [v = -1, u = 3^(1/2), x = 1, 4 < y, z = -(y-1)^(1/2)], [regular_chain
, [[-1, -1], [908093/524288, 1816187/1048576], [1, 1], [5, 5], [-2, -2]]]], [[
4, 14, 8, 7, 3], [v = -1, u = 3^(1/2), x = 1, 4 < y, 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, 7, 4], [v = -1, u = 3^(1/2), x = 1, 4 < y
, z = (y-1)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576
], [1, 1], [5, 5], [2, 2]]]], [[4, 14, 8, 7, 5], [v = -1, u = 3^(1/2), x = 1,
4 < y, (y-1)^(1/2) < z], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [1, 1], [5, 5], [3, 3]]]], [[5, 1, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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(x < y,y < x-u^2+v^2+1
), z < -(y-x)^(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, 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(x < y,y < x-u^2+v^2+1), z
= -(y-x)^(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, 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(x < y
,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(x < y,y < x-u^2+v^2+1), z = (y-x)^(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
, 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(x < y,y < x-u^2+v^2+1), (y-x)^(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, 6, 5, 1], [
And(-1 < v,v < 0), u = v, x = 1, And(1 < y,y < 2), 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, 5, 2], [And(-1 < v,v < 0), u = v, x = 1, And(1 < y,y < 2), 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, 5, 3], [And(-1 < v,v < 0), u
= v, x = 1, And(1 < y,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], [3/2, 3/2], [0, 0]]]], [[5
, 6, 6, 5, 4], [And(-1 < v,v < 0), u = v, x = 1, And(1 < y,y < 2), 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, 5, 5], [And(-1 < v,v < 0), u = v,
x = 1, And(1 < y,y < 2), (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, 4, 9, 1], [And(-1 < v,v < 0),
And(-v < u,u < (v^2+1)^(1/2)), x = -1, u^2-v^2 < y, z < -(y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [2
, 2], [-3, -3]]]], [[5, 9, 4, 9, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1
)^(1/2)), x = -1, u^2-v^2 < y, z = -(y+1)^(1/2)], [regular_chain, [[-1/2, -1/2
], [1696631/2097152, 1696631/2097152], [-1, -1], [2, 2], [-1816187/1048576, -\
3632373/2097152]]]], [[5, 9, 4, 9, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2
+1)^(1/2)), x = -1, u^2-v^2 < y, 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], [-1/4194304, -1/4194304]]]], [[5, 9, 4, 9, 4], [And(-1 < v,v < 0), And(-
v < u,u < (v^2+1)^(1/2)), x = -1, u^2-v^2 < y, z = (y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [2
, 2], [908093/524288, 1816187/1048576]]]], [[5, 9, 4, 9, 5], [And(-1 < v,v < 0
), And(-v < u,u < (v^2+1)^(1/2)), x = -1, u^2-v^2 < y, (y+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [2
, 2], [3, 3]]]], [[5, 10, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 8, 3, 1],
[v = 0, u < -2^(1/2), x = 1, And(-u^2+2 < y,y < 0), z = z], [regular_chain, [[
0, 0], [-3, -3], [1, 1], [-7/2, -7/2], [0, 0]]]], [[6, 3, 1, 4, 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, 4, 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, 4, 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, 5, 1, 1], [v = 0, And(1 < u,u < 2^(1/2)
), And(-1 < x,x < 0), y < x-u^2+1, z = z], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[6, 10, 7, 2, 1
], [v = 0, u = 2^(1/2), And(0 < x,x < 1), y = x-1, z = z], [regular_chain, [[0
, 0], [741455/524288, 1482911/1048576], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [
[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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1
), z < -(y-x)^(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(x-u^2+v^2+1 < y,y < u^2
-v^2+x+1), z = -(y-x)^(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(x-u^2+v^2+1 < y,
y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = (y-x)^(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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), (y-x)^(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(0 <
y,y < u^2-2), z = z], [regular_chain, [[1, 1], [-3, -3], [7, 7], [7/2, 7/2], [
0, 0]]]], [[8, 3, 4, 1, 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], [-3, -3], [0, 0]]]], [[8, 7, 8, 2, 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, 2, 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, 2
, 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, 3, 7, 1], [v = 1, And(0 < u
,u < 1), And(u^2-2 < x,x < -1), And(0 < y,y < x-u^2+2), z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [-11/8, -11/8], [3/16, 3/16], [-3, -3]]]],
[[8, 9, 3, 7, 2], [v = 1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), And(0 < y,y
< x-u^2+2), z = -(y-x)^(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, 7, 3], [v = 1, And(0 < u,u <
1), And(u^2-2 < x,x < -1), And(0 < y,y < x-u^2+2), And(-(y-x)^(1/2) < z,z < (y
-x)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2], [-11/8, -11/8], [3/16, 3/16]
, [0, 0]]]], [[8, 9, 3, 7, 4], [v = 1, And(0 < u,u < 1), And(u^2-2 < x,x < -1)
, And(0 < y,y < x-u^2+2), z = (y-x)^(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, 7, 5], [v = 1, And(
0 < u,u < 1), And(u^2-2 < x,x < -1), And(0 < y,y < x-u^2+2), (y-x)^(1/2) < z],
[regular_chain, [[1, 1], [1/2, 1/2], [-11/8, -11/8], [3/16, 3/16], [3, 3]]]],
[[8, 15, 5, 2, 1], [v = 1, 3^(1/2) < u, And(-1 < x,x < 0), y = x-u^2+2, z = z]
, [regular_chain, [[1, 1], [3, 3], [-1/2, -1/2], [-15/2, -15/2], [0, 0]]]], [[
9, 1, 7, 7, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(0 < x,x < 1),
And(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [1/2, 1/2], [10006449/2097152, 10006449/
2097152], [-4, -4]]]], [[9, 1, 7, 7, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)
^(1/2), And(0 < x,x < 1), And(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 7, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(0 < x,x < 1)
, And(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1/2, 1/2], [
10006449/2097152, 10006449/2097152], [0, 0]]]], [[9, 1, 7, 7, 4], [And(1 < v,v
< 2^(1/2)), u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < u^2-v^2+x+1),
z = (y-x)^(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, 7, 5], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), 
And(0 < x,x < 1), And(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-3, -3], [1/2, 1/2], [10006449/2097152
, 10006449/2097152], [4, 4]]]], [[9, 5, 8, 3, 1], [And(1 < v,v < 2^(1/2)), And
(-(v^2+1)^(1/2) < u,u < -v), x = 0, And(0 < y,y < -u^2+v^2+1), 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, 3, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, 
And(0 < y,y < -u^2+v^2+1), 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, 3,
3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, And(0 < 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], [
558339/2097152, 558339/2097152], [-1/4194304, -1/4194304]]]], [[9, 5, 8, 3, 4]
, [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, And(0 < y,y
< -u^2+v^2+1), 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, 3, 5], [And(1
< v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, And(0 < y,y < -u^2+v^
2+1), 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, 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 = 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], [-299103/1048576, -\
149551/524288], [-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 = 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], [-\
299103/1048576, -149551/524288], [-1374407/2097152, -687203/1048576]]]], [[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 = u^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], [-299103/
1048576, -149551/524288], [0, 0]]]], [[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 = 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], [-\
299103/1048576, -149551/524288], [687203/1048576, 171801/262144]]]], [[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 = 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], [-299103/1048576, -149551/524288], [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 = -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], [3055773/1048576, 1527887/524288], [-3, -3]]]], [[9, 9, 8, 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 = -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], [
3055773/1048576, 1527887/524288], [-410915/262144, -3287319/2097152]]]], [[9,
9, 8, 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 = -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], [3055773/1048576, 1527887/524288], [-1/4194304
, -1/4194304]]]], [[9, 9, 8, 6, 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], [3055773/1048576, 1527887/524288], [1643659/1048576,
410915/262144]]]], [[9, 9, 8, 6, 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], [3055773/1048576, 1527887/524288], [3, 3]]]], [[9, 11
, 4, 2, 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, 2, 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, 2, 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, 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(0 < y,y < u^2-v^2-1), 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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 5, 8, 7, 1], [v
= 2^(1/2), And(-3^(1/2) < u,u < -v), x = 0, u^2-1 < y, z < -y^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [0, 0], [3, 3], [-3, -3]]]], [[10, 5, 8, 7, 2], [v = 2^(1/2), And(-3
^(1/2) < u,u < -v), x = 0, u^2-1 < y, 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, 7, 3], [v = 2^(1/2), 
And(-3^(1/2) < u,u < -v), x = 0, u^2-1 < y, 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, 7, 4], [v =
2^(1/2), And(-3^(1/2) < u,u < -v), x = 0, u^2-1 < y, 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, 7,
5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 0, u^2-1 < y, y^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [0, 0], [3, 3], [3, 3]]]], [[10, 7, 5, 8, 1], [v = 2^(1/2), And(-v <
u,u < -1), And(-1 < x,x < -u^2+1), y = x-u^2+3, z < -(-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-1527887/2097152, -1527887/2097152], [853897/1048576, 426949/524288
], [-3, -3]]]], [[10, 7, 5, 8, 2], [v = 2^(1/2), And(-v < u,u < -1), And(-1 <
x,x < -u^2+1), y = x-u^2+3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1527887/
2097152, -1527887/2097152], [853897/1048576, 426949/524288], [-1302471/1048576
, -651235/524288]]]], [[10, 7, 5, 8, 3], [v = 2^(1/2), And(-v < u,u < -1), And
(-1 < x,x < -u^2+1), y = x-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], [-1527887/2097152, -1527887/2097152], [853897/1048576, 
426949/524288], [0, 0]]]], [[10, 7, 5, 8, 4], [v = 2^(1/2), And(-v < u,u < -1)
, And(-1 < x,x < -u^2+1), y = x-u^2+3, z = (-u^2+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
1527887/2097152, -1527887/2097152], [853897/1048576, 426949/524288], [651235/
524288, 1302471/1048576]]]], [[10, 7, 5, 8, 5], [v = 2^(1/2), And(-v < u,u < -\
1), And(-1 < x,x < -u^2+1), y = x-u^2+3, (-u^2+3)^(1/2) < z], [regular_chain,
[[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
1527887/2097152, -1527887/2097152], [853897/1048576, 426949/524288], [3, 3]]]]
, [[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, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-3, -3], [1, 1], [-3, -3]]]], [
[10, 13, 1, 9, 2], [v = 2^(1/2), And(1 < u,u < v), x < u^2-3, 0 < y, z = -(y-x
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576,
1265743/1048576], [-3, -3], [1, 1], [-2, -2]]]], [[10, 13, 1, 9, 3], [v = 2^(1
/2), And(1 < u,u < v), x < u^2-3, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [-3, -3], [1, 1], [0, 0]]]], [[10, 13, 1, 9, 4], [v = 2^(1/2
), And(1 < u,u < v), x < u^2-3, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-3, -3],
[1, 1], [2, 2]]]], [[10, 13, 1, 9, 5], [v = 2^(1/2), And(1 < u,u < v), x < u^2
-3, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576]
, [1265743/1048576, 1265743/1048576], [-3, -3], [1, 1], [3, 3]]]], [[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 = x-u^2+v^2+1, z = z], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [129511/524288, 129511/524288], [-259023/1048576,
-129511/524288], [0, 0]]]], [[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 < 0), z < -(u^2-v^2+y+1)
^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-195745/
131072, -1565959/1048576], [-33112529/67108864, -33112529/67108864], [-3, -3]]
]], [[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 < 0), z = -(u^2-v^2+y+1)^(1/2)], [regular_chain,
[[3, 3], [-403851/131072, -403851/131072], [-195745/131072, -1565959/1048576],
[-33112529/67108864, -33112529/67108864], [-1048577/1048576, -1]]]], [[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 < 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], [-33112529/67108864, -33112529/67108864], [0, 0]]]], [[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 < 0), z = (u^2-v^2+y+1)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-195745/131072, -1565959/1048576], [-33112529
/67108864, -33112529/67108864], [1, 1048577/1048576]]]], [[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 < 0), (u^2-v^2+y+1)^(1/2) < z], [regular_chain, [[3, 3], [-403851/131072,
-403851/131072], [-195745/131072, -1565959/1048576], [-33112529/67108864, -\
33112529/67108864], [3, 3]]]], [[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 =
z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [533035/
2097152, 533035/2097152], [-2, -2], [0, 0]]]], [[11, 10, 9, 6, 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,
6, 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, 6, 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, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 5, 3, 1], [2^(1/2) < v,
u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-1/2, -1/2], [-1/4,
-1/4], [-2, -2]]]], [[11, 18, 5, 3, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-\
1 < x,x < 0), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(x <
y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [-1/2, -1/2], [-1/4, -1/4], [0, 0]]]], [[11, 
18, 5, 3, 4], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(x < y,y
< 0), z = (y-x)^(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, 3, 5], [2^(1
/2) < v, u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(1/2) <
z], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-1/2, -1/2], [-\
1/4, -1/4], [2, 2]]]], [[1, 1, 11, 7, 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 < -(y-x)^(1/2)], [regular_chain, [
[-3, -3], [-5, -5], [16, 16], [49/2, 49/2], [-4, -4]]]], [[1, 1, 11, 7, 2], [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 =
-(y-x)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [16, 16], [49/2, 49/2], [-\
24456785/8388608, -1528549/524288]]]], [[1, 1, 11, 7, 3], [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), And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-5, -5], [16, 16], [49/2, 49/2
], [0, 0]]]], [[1, 1, 11, 7, 4], [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 = (y-x)^(1/2)], [regular_chain, [[-3, -3],
[-5, -5], [16, 16], [49/2, 49/2], [1528549/524288, 3057099/1048576]]]], [[1, 1
, 11, 7, 5], [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), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5], [16, 16],
[49/2, 49/2], [4, 4]]]], [[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 < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-1, -1], [
391655/262144, 1566621/1048576], [-3, -3]]]], [[1, 3, 4, 8, 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], [391655/262144, 1566621/1048576], [-1655969/1048576, -3311937/2097152
]]]], [[1, 3, 4, 8, 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], [
391655/262144, 1566621/1048576], [-1/4194304, -1/4194304]]]], [[1, 3, 4, 8, 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], [391655/262144, 1566621/1048576], [51749/32768, 
1655969/1048576]]]], [[1, 3, 4, 8, 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], [391655/262144, 
1566621/1048576], [3, 3]]]], [[1, 7, 9, 6, 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], [
1040859/1048576, 260215/262144], [-2, -2]]]], [[1, 7, 9, 6, 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], [1040859/1048576, 260215/262144], [-735979/1048576, -1471957/
2097152]]]], [[1, 7, 9, 6, 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], [1040859/1048576, 260215/262144], [-1/4194304, -1/4194304]]]], [[1, 7,
9, 6, 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], [1040859/1048576, 260215/262144], [
367989/524288, 735979/1048576]]]], [[1, 7, 9, 6, 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],
[1040859/1048576, 260215/262144], [2, 2]]]], [[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(-1 < y,y < 0), z < -(y
+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y <
0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 < x, z = z], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [-657289/524288, -657289/524288], [-3, -3], [0, 0]]]], [[1,
16, 6, 3, 1], [v < -2^(1/2), u = -v, x = 1, And(0 < y,y < 1), z = z], [
regular_chain, [[-3, -3], [3, 3], [1, 1], [1/2, 1/2], [0, 0]]]], [[1, 20, 9, 7
, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), 1 < x, And(x < y,y < x+3), z < -(y-x)^
(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [2, 2],
[7/2, 7/2], [-3, -3]]]], [[1, 20, 9, 7, 2], [v < -2^(1/2), u = (v^2+2)^(1/2),
1 < x, And(x < y,y < x+3), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [2, 2], [7/2, 7/2], [-1284239/1048576, -\
642119/524288]]]], [[1, 20, 9, 7, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), 1 < x,
And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
-3, -3], [3477733/1048576, 1738867/524288], [2, 2], [7/2, 7/2], [0, 0]]]], [[1
, 20, 9, 7, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), 1 < x, And(x < y,y < x+3), z
= (y-x)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288],
[2, 2], [7/2, 7/2], [642119/524288, 1284239/1048576]]]], [[1, 20, 9, 7, 5], [v
< -2^(1/2), u = (v^2+2)^(1/2), 1 < x, And(x < y,y < x+3), (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [2, 2], [7/2, 7/2
], [3, 3]]]], [[2, 1, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 11, 1, 4, 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, 4, 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, 4, 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, 12, 4, 2, 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, 2, 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, 2, 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, 17, 1, 1, 1], [v = -2^(1/2), And(3^
(1/2) < u,u < 2), x < -u^2+1, y < x-u^2+3, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-4, -4], [-6, -\
6], [0, 0]]]], [[2, 18, 3, 2, 1], [v = -2^(1/2), u = 2, And(-3 < x,x < -1), y
= x-1, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-\
2, -2], [-3, -3], [0, 0]]]], [[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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1
), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-5818805/4194304, -5818805/4194304], [-3, -3], [-8388607/4194304, -8388607/
4194304], [-3, -3]]]], [[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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z =
-(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-3, -3], [-8388607/4194304, -8388607/
4194304], [-1048577/1048576, -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(x-u^2+v^2+1 < y,y < u^2
-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [-\
8388607/4194304, -8388607/4194304], [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(x-u^2+v^2+1 <
y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [-8388607/
4194304, -8388607/4194304], [1, 1048577/1048576]]]], [[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(x-u^2+v
^2+1 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [-\
8388607/4194304, -8388607/4194304], [3, 3]]]], [[3, 6, 4, 3, 1], [And(-2^(1/2)
< v,v < -1), u = v, x = 0, And(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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 = x, z < 0],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341
/1048576], [-3, -3], [-3, -3], [-1, -1]]]], [[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 = x, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-3, -3], [-3, -3], [0, 0]]]], [[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 = x, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-3, -3], [-3, -3], [1, 1]]]], [[3, 12, 3, 7, 1], [And(-2^(1/2) < v,
v < -1), u = -v, And(-1 < x,x < 0), x+1 < y, z < -(y-x)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [
-1/2, -1/2], [2, 2], [-3, -3]]]], [[3, 12, 3, 7, 2], [And(-2^(1/2) < v,v < -1)
, u = -v, And(-1 < x,x < 0), x+1 < y, z = -(y-x)^(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, 7, 3], [And(
-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 0), x+1 < y, And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [-1/2, -1/2], [2, 2], [0, 0]]]], [[3, 12, 3
, 7, 4], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 0), x+1 < y, z = (y
-x)^(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, 7, 5], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,
x < 0), x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [2, 2], [3
, 3]]]], [[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 = x, z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [-4, -4], [-4, -4]
, [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-4, -4],
[-4, -4], [0, 0]]]], [[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 = x, 0 < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-4, -4
], [-4, -4], [1, 1]]]], [[3, 16, 3, 5, 1], [And(-2^(1/2) < v,v < -1), u = (v^2
+2)^(1/2), And(-3 < x,x < -1), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)
^(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(x < y,y < 0), 
And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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, 0 < y, 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, 7, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, 0
< y, 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, 7, 3], [v = -1, And(-3^(1/2) < u,u <
-2^(1/2)), x = -u^2, 0 < y, 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, 7,
4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, 0 < y, 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, 7, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, 0 < y, (u^2+y)
^(1/2) < z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304],
[-2594959/1048576, -1297479/524288], [1, 1], [3, 3]]]], [[4, 4, 5, 7, 1], [v =
-1, u = -2^(1/2), And(-1 < x,x < 0), x+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [3
, 3], [-3, -3]]]], [[4, 4, 5, 7, 2], [v = -1, u = -2^(1/2), And(-1 < x,x < 0),
x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [3, 3], [-7846825/4194304, -980853/524288]]]], [
[4, 4, 5, 7, 3], [v = -1, u = -2^(1/2), And(-1 < x,x < 0), x+2 < y, And(-(y-x)
^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [3, 3], [0, 0]]]], [[4, 4, 5, 7, 4], [v = -1, u
= -2^(1/2), And(-1 < x,x < 0), x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[-1
, -1], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [3, 3], [980853/
524288, 1961707/1048576]]]], [[4, 4, 5, 7, 5], [v = -1, u = -2^(1/2), And(-1 <
x,x < 0), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1482911/
1048576, -741455/524288], [-1/2, -1/2], [3, 3], [3, 3]]]], [[4, 11, 3, 3, 1],
[v = -1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), And(x < y,y < x-u^2+2),
z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-1288231/1048576, -1288231/1048576], [-2007197/2097152, -2007197/
2097152], [-2, -2]]]], [[4, 11, 3, 3, 2], [v = -1, And(1 < u,u < 2^(1/2)), And
(-u^2 < x,x < -1), And(x < y,y < x-u^2+2), z = -(y-x)^(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, 3, 3], [v = -1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,
x < -1), And(x < y,y < x-u^2+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [v = -1, And(1 < u,u < 2^(1/2)), And(-u^2 <
x,x < -1), And(x < y,y < x-u^2+2), z = (y-x)^(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, 3, 5], [v = -1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), And(x < y
,y < x-u^2+2), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/1048576,
1265743/1048576], [-1288231/1048576, -1288231/1048576], [-2007197/2097152, -\
2007197/2097152], [2, 2]]]], [[4, 12, 6, 3, 1], [v = -1, u = 2^(1/2), x = 0, 
And(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2)
, 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(
0 < y,y < 2), 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 < 4), 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, 5, 2], [And(-1 < v,v < 0), u
= -(v^2+2)^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 3], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 1, 
And(1 < y,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], [5/2, 5/2], [0, 0]]]], [[5, 2, 8, 5, 4], [And
(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 5], [And(-1 < v,v < 0), u = -(v^2+2
)^(1/2), x = 1, And(1 < y,y < 4), (y-1)^(1/2) < z], [regular_chain, [[-1/2, -1
/2], [-3/2, -3/2], [1, 1], [5/2, 5/2], [3, 3]]]], [[5, 13, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = 0, u < -2^(1/2), And(-u^2-1 < x,x < -1), And(0 < y,y < u^
2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-11/2, -11/2],
[9/4, 9/4], [-4, -4]]]], [[6, 1, 3, 7, 2], [v = 0, u < -2^(1/2), And(-u^2-1 <
x,x < -1), And(0 < y,y < u^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[0, 0],
[-3, -3], [-11/2, -11/2], [9/4, 9/4], [-11676449/4194304, -364889/131072]]]],
[[6, 1, 3, 7, 3], [v = 0, u < -2^(1/2), And(-u^2-1 < x,x < -1), And(0 < y,y <
u^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [-3
, -3], [-11/2, -11/2], [9/4, 9/4], [0, 0]]]], [[6, 1, 3, 7, 4], [v = 0, u < -2
^(1/2), And(-u^2-1 < x,x < -1), And(0 < y,y < u^2+x+1), z = (y-x)^(1/2)], [
regular_chain, [[0, 0], [-3, -3], [-11/2, -11/2], [9/4, 9/4], [364889/131072,
2919113/1048576]]]], [[6, 1, 3, 7, 5], [v = 0, u < -2^(1/2), And(-u^2-1 < x,x
< -1), And(0 < y,y < u^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[0, 0], [-3,
-3], [-11/2, -11/2], [9/4, 9/4], [4, 4]]]], [[6, 5, 4, 9, 1], [v = 0, And(-1 <
u,u < 0), x = -1, u^2 < y, z < -(y+1)^(1/2)], [regular_chain, [[0, 0], [-1/2,
-1/2], [-1, -1], [2, 2], [-3, -3]]]], [[6, 5, 4, 9, 2], [v = 0, And(-1 < u,u <
0), x = -1, u^2 < y, z = -(y+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2],
[-1, -1], [2, 2], [-1816187/1048576, -3632373/2097152]]]], [[6, 5, 4, 9, 3], [
v = 0, And(-1 < u,u < 0), x = -1, u^2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2
))], [regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [2, 2], [-1/4194304, -1/
4194304]]]], [[6, 5, 4, 9, 4], [v = 0, And(-1 < u,u < 0), x = -1, u^2 < y, z =
(y+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [2, 2], [908093
/524288, 1816187/1048576]]]], [[6, 5, 4, 9, 5], [v = 0, And(-1 < u,u < 0), x =
-1, u^2 < y, (y+1)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1]
, [2, 2], [3, 3]]]], [[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],
[-7/4, -7/4], [-3, -3]]]], [[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], [-7/4, -7/4], [-146543/131072, -1172343/1048576]]]], [[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], [-7/4, -7/4],
[0, 0]]]], [[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], [-7/4, -7
/4], [1172343/1048576, 146543/131072]]]], [[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], [-7/4, -7/4], [3, 3]]]], [[7, 1, 8, 7, 1], [And(0 < v,v
< 1), u < -(v^2+2)^(1/2), x = 1, And(1 < y,y < u^2-v^2+2), z < -(y-1)^(1/2)],
[regular_chain, [[1/2, 1/2], [-3, -3], [1, 1], [47/8, 47/8], [-4, -4]]]], [[7,
1, 8, 7, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 1, And(1 < y,y < u^2-v
^2+2), 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, 7, 3], [And(0 < v,
v < 1), u < -(v^2+2)^(1/2), x = 1, And(1 < y,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], [47/8, 
47/8], [0, 0]]]], [[7, 1, 8, 7, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x =
1, And(1 < y,y < u^2-v^2+2), 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,
7, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 1, And(1 < y,y < u^2-v^2+2),
(y-1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3, -3], [1, 1], [47/8, 47/8],
[4, 4]]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[1/2,
1/2], [-343151/262144, -343151/262144], [-4, -4], [0, 0], [-3, -3]]]], [[7, 3,
1, 8, 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, 8, 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, 8, 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, 8, 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, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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(x-u^2+v^2+1 < y,y < 0),
z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [-2521309/2097152, -2521309/2097152], [-1272471/4194304, -1272471/
4194304], [-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(x-u^2+v^2+1 < y,y < 0), z = -(y-x)
^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-\
2521309/2097152, -2521309/2097152], [-1272471/4194304, -1272471/4194304], [-\
15906297/16777216, -1988287/2097152]]]], [[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(x-u^2+v^2+1 < y,
y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [-\
1272471/4194304, -1272471/4194304], [-1/4194304, -1/4194304]]]], [[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(x-u^2+v^2+1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2],
[1696631/2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [-\
1272471/4194304, -1272471/4194304], [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(x-u^2+v^2+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1/2,
1/2], [1696631/2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152]
, [-1272471/4194304, -1272471/4194304], [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 <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/
262144], [0, 0], [1291597/524288, 2583195/1048576], [-3, -3]]]], [[7, 11, 6, 6
, 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], [1291597/524288, 2583195/1048576], [-3291611/
2097152, -1645805/1048576]]]], [[7, 11, 6, 6, 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], [1291597/524288, 2583195/1048576], [0, 0]]]], [[7, 11,
6, 6, 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], [1291597/524288, 2583195/1048576], [1645805/
1048576, 822903/524288]]]], [[7, 11, 6, 6, 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], [1291597/
524288, 2583195/1048576], [3, 3]]]], [[7, 12, 9, 4, 1], [And(0 < v,v < 1), u =
(v^2+2)^(1/2), 1 < x, y = x-1, z = z], [regular_chain, [[1/2, 1/2], [3/2, 3/2]
, [2, 2], [1, 1], [0, 0]]]], [[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 < y, z < -(y-x)^(1/2)], [regular_chain, [
[1, 1], [-6598195/4194304, -6598195/4194304], [248903/1048576, 248903/1048576]
, [4, 4], [-3, -3]]]], [[8, 3, 7, 9, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)
), And(0 < x,x < u^2-2), u^2+x < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1]
, [-6598195/4194304, -6598195/4194304], [248903/1048576, 248903/1048576], [4,
4], [-32543595/16777216, -16271797/8388608]]]], [[8, 3, 7, 9, 3], [v = 1, And(
-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), u^2+x < y, And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [248903/1048576, 248903/1048576], [4, 4], [-5/16777216, -5/16777216]
]]], [[8, 3, 7, 9, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u
^2-2), u^2+x < y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304
, -6598195/4194304], [248903/1048576, 248903/1048576], [4, 4], [1016987/524288
, 2033975/1048576]]]], [[8, 3, 7, 9, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)
), And(0 < x,x < u^2-2), u^2+x < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1],
[-6598195/4194304, -6598195/4194304], [248903/1048576, 248903/1048576], [4, 4]
, [3, 3]]]], [[8, 5, 3, 5, 1], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,
x < -1), And(x-u^2+2 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [
-1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [-\
1437931/4194304, -1437931/4194304], [-2, -2]]]], [[8, 5, 3, 5, 2], [v = 1, And
(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(x-u^2+2 < y,y < 0), z = -(y-x
)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-\
1288231/1048576, -1288231/1048576], [-1437931/4194304, -1437931/4194304], [-\
15789521/16777216, -986845/1048576]]]], [[8, 5, 3, 5, 3], [v = 1, And(-2^(1/2)
< u,u < -1), And(-u^2 < x,x < -1), And(x-u^2+2 < y,y < 0), And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-1288231/1048576, -1288231/1048576], [-1437931/4194304, -1437931/
4194304], [0, 0]]]], [[8, 5, 3, 5, 4], [v = 1, And(-2^(1/2) < u,u < -1), And(-
u^2 < x,x < -1), And(x-u^2+2 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[1
, 1], [-1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231/
1048576], [-1437931/4194304, -1437931/4194304], [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(x-u^2+2 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-1265743
/1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [-1437931/
4194304, -1437931/4194304], [2, 2]]]], [[8, 11, 8, 5, 1], [v = 1, And(1 < u,u
< 2^(1/2)), x = 0, And(-u^2+2 < y,y < u^2), z < -y^(1/2)], [regular_chain, [[1
, 1], [1265743/1048576, 1265743/1048576], [0, 0], [1, 1], [-2, -2]]]], [[8, 11
, 8, 5, 2], [v = 1, And(1 < u,u < 2^(1/2)), x = 0, And(-u^2+2 < y,y < u^2), z
= -y^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [0,
0], [1, 1], [-1, -1]]]], [[8, 11, 8, 5, 3], [v = 1, And(1 < u,u < 2^(1/2)), x
= 0, And(-u^2+2 < y,y < u^2), And(-y^(1/2) < z,z < y^(1/2))], [regular_chain,
[[1, 1], [1265743/1048576, 1265743/1048576], [0, 0], [1, 1], [0, 0]]]], [[8, 
11, 8, 5, 4], [v = 1, And(1 < u,u < 2^(1/2)), x = 0, And(-u^2+2 < y,y < u^2),
z = y^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [0,
0], [1, 1], [1, 1]]]], [[8, 11, 8, 5, 5], [v = 1, And(1 < u,u < 2^(1/2)), x =
0, And(-u^2+2 < y,y < u^2), y^(1/2) < z], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [0, 0], [1, 1], [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 = z], [regular_chain, [
[1, 1], [3299097/2097152, 3299097/2097152], [-1, -1], [-3, -3], [0, 0]]]], [[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
= x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [8
, 8], [8, 8], [-1, -1]]]], [[9, 1, 11, 6, 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, 6, 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, 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 = x-u^2+v^2+1, z = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [
-1/2, -1/2], [-8210029/8388608, -32840115/33554432], [0, 0]]]], [[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
< 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [1/2, 1/2], [-1, -1], [0, 0]]]], [[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 =
-1, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [-1, -1], [-1, -1], [-1, -1]]]], [[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 =
-1, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [-1, -1], [-1, -1], [0, 0]]]], [[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 = -1,
0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 
898327/524288], [-1, -1], [-1, -1], [1, 1]]]], [[10, 1, 11, 9, 1], [v = 2^(1/2
), u < -2, u^2-3 < x, u^2+x-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [-3, -3], [7, 7], [16, 16], [-4, -4]]]], [[10, 1, 
11, 9, 2], [v = 2^(1/2), u < -2, u^2-3 < x, u^2+x-1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [7, 7], [16, 16],
[-3, -3]]]], [[10, 1, 11, 9, 3], [v = 2^(1/2), u < -2, u^2-3 < x, u^2+x-1 < y,
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [7, 7], [16, 16], [0, 0]]]], [[10, 1, 11, 9, 4], [
v = 2^(1/2), u < -2, u^2-3 < x, u^2+x-1 < y, z = (y-x)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-3, -3], [7, 7], [16, 16], [3, 3]]]], [[10
, 1, 11, 9, 5], [v = 2^(1/2), u < -2, u^2-3 < x, u^2+x-1 < y, (y-x)^(1/2) < z]
, [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [7, 7], [16, 16
], [4, 4]]]], [[10, 3, 5, 5, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-\
1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) <
z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = 0, z = z], [regular_chain, [[741455/524288, 1482911
/1048576], [-1/2, -1/2], [7/8, 7/8], [0, 0], [0, 0]]]], [[10, 11, 2, 5, 1], [v
= 2^(1/2), And(0 < u,u < 1), x = u^2-3, And(u^2-3 < y,y < 0), z < -(y-u^2+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, 5, 2], [v = 2^(1/2), And(0 <
u,u < 1), x = u^2-3, And(u^2-3 < y,y < 0), z = -(y-u^2+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, 5, 3], [v
= 2^(1/2), And(0 < u,u < 1), x = u^2-3, And(u^2-3 < y,y < 0), And(-(y-u^2+3)^(
1/2) < z,z < (y-u^2+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,
5, 4], [v = 2^(1/2), And(0 < u,u < 1), x = u^2-3, And(u^2-3 < y,y < 0), z = (y
-u^2+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, 5, 5], [v = 2^(1/2), And(0 < u,u < 1), x = u^2-3, And(u^2-3 < y,y < 0), (y-
u^2+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, 6, 6, 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], [995611/1048576, 248903/262144],
[-3, -3]]]], [[10, 15, 6, 6, 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], [995611/1048576, 248903/262144], [-1273381/1048576, -318345/262144]]]
], [[10, 15, 6, 6, 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], [995611/1048576, 248903/262144], [0, 0]]]], [[10, 15
, 6, 6, 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], [995611/1048576
, 248903/262144], [318345/262144, 1273381/1048576]]]], [[10, 15, 6, 6, 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], [995611/1048576, 248903/262144],
[3, 3]]]], [[10, 17, 2, 2, 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], [-\
49729379/16777216, -24864689/8388608], [0, 0]]]], [[10, 19, 3, 5, 1], [v = 2^(
1/2), 2 < u, And(-u^2+1 < x,x < -1), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), 
And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x
)^(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(x < y,y < 0), (y-x)^(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 < -(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, 8, 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, 8, 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, 8, 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, 8,
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, 6, 6, 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],
[517383/524288, 1034767/1048576], [-3, -3]]]], [[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 = 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], [517383/524288, 1034767/1048576], [-1281417
/1048576, -160177/131072]]]], [[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 = 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], [517383/524288, 1034767/1048576]
, [0, 0]]]], [[11, 5, 6, 6, 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], [
517383/524288, 1034767/1048576], [160177/131072, 1281417/1048576]]]], [[11, 5,
6, 6, 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], [517383/524288, 1034767/
1048576], [3, 3]]]], [[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-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-657289/524288,
-657289/524288], [2, 2], [-3, -3]]]], [[11, 7, 3, 9, 2], [2^(1/2) < v, And(-v
< u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), x-u^2+v^2+1 < y, z = -(y-x
)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-\
657289/524288, -657289/524288], [2, 2], [-1891417/1048576, -7565667/4194304]]]
], [[11, 7, 3, 9, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^
2-1 < x,x < -1), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-657289/524288,
-657289/524288], [2, 2], [-3/8388608, -3/8388608]]]], [[11, 7, 3, 9, 4], [2^(1
/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), x-u^2+v^2+
1 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-657289/524288, -657289/524288], [2, 2], [236427/131072, 1891417/
1048576]]]], [[11, 7, 3, 9, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
And(u^2-v^2-1 < x,x < -1), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain,
[[3, 3], [-6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288
], [2, 2], [3, 3]]]], [[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-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)],
[regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-4, -4], [-391029/
262144, -1564115/1048576], [-3, -3]]]], [[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-u^2+v^2+1, z = -(-u
^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [
-4, -4], [-391029/262144, -1564115/1048576], [-3321417/2097152, -415177/262144
]]]], [[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-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], [-4, -4
], [-391029/262144, -1564115/1048576], [0, 0]]]], [[11, 13, 1, 6, 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 = x-u^2+v^2+1,
z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [-4, -4], [-391029/262144, -1564115/1048576], [415177/262144, 1660709
/1048576]]]], [[11, 13, 1, 6, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-4, -4], [-391029/
262144, -1564115/1048576], [3, 3]]]], [[11, 14, 5, 1, 1], [2^(1/2) < v, u = (v
^2-1)^(1/2), And(-1 < x,x < 0), y < x, z = z], [regular_chain, [[3, 3], [
741455/262144, 2965821/1048576], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2-v^
2+x+1), z = (y-x)^(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(x < y,y < u^2-v^2+x+1), (y-x)^(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 = z], [regular_chain, [[3, 3], [3477733/
1048576, 1738867/524288], [-1, -1], [-3, -3], [0, 0]]]], [[1, 5, 8, 3, 1], [v
< -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 0, And(0 < y,y < -u^2+v^2+1), z
< -y^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [0,
0], [66399/262144, 66399/262144], [-2, -2]]]], [[1, 5, 8, 3, 2], [v < -2^(1/2)
, And(-(v^2+1)^(1/2) < u,u < v), x = 0, And(0 < y,y < -u^2+v^2+1), z = -y^(1/2
)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [0, 0], [
66399/262144, 66399/262144], [-527729/1048576, -1055457/2097152]]]], [[1, 5, 8
, 3, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 0, And(0 < 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], [66399/262144, 66399/262144], [-1/4194304, -\
1/4194304]]]], [[1, 5, 8, 3, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v),
x = 0, And(0 < y,y < -u^2+v^2+1), z = y^(1/2)], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [0, 0], [66399/262144, 66399/262144], [32983/
65536, 527729/1048576]]]], [[1, 5, 8, 3, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2)
< u,u < v), x = 0, And(0 < y,y < -u^2+v^2+1), y^(1/2) < z], [regular_chain, [[
-3, -3], [-403851/131072, -403851/131072], [0, 0], [66399/262144, 66399/262144
], [2, 2]]]], [[1, 7, 4, 9, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)),
x = -1, -u^2+v^2 < y, z < -(y+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-1, -1], [2, 2], [-3, -3]]]], [[1, 7, 4, 9, 2], [
v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, -u^2+v^2 < y, z = -(y+1)^
(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-1,
-1], [2, 2], [-1816187/1048576, -3632373/2097152]]]], [[1, 7, 4, 9, 3], [v < -
2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, -u^2+v^2 < y, And(-(y+1)^(1/2)
< z,z < (y+1)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-1, -1], [2, 2], [-1/4194304, -1/4194304]]]], [[1, 7, 4, 9, 4], [v
< -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, -u^2+v^2 < y, z = (y+1)^(1/
2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-1, -1]
, [2, 2], [908093/524288, 1816187/1048576]]]], [[1, 7, 4, 9, 5], [v < -2^(1/2)
, And(v < u,u < -(v^2-1)^(1/2)), x = -1, -u^2+v^2 < y, (y+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-1, -1], [2,
2], [3, 3]]]], [[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 = z], [regular_chain, [[-3, -3], [0, 0],
[0, 0], [-8, -8], [0, 0]]]], [[1, 12, 8, 3, 1], [v < -2^(1/2), u = (v^2-2)^(1/
2), x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [1, 1], [1/2, 1/2], [0, 0]]]], [[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 = x-u^2+v^2+1, z = z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [-915943/524288, -915943/524288], [-2349931/1048576, -1174965/524288
], [0, 0]]]], [[1, 20, 5, 1, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-1 < x,
x < 0), y < x-1, z = z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[2, 3, 4, 5, 1], [v = -2^(1/2), 
And(-2 < u,u < -3^(1/2)), x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1
< y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = 0, z = z], [regular_chain, [[-1482911/1048576
, -741455/524288], [-1816187/1048576, -3632373/2097152], [1, 1], [0, 0], [0, 0
]]]], [[2, 7, 4, 6, 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, 6, 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, 6, 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,
6, 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, 6, 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,
3, 1], [v = -2^(1/2), u = -1, x = 1, And(0 < y,y < 1), z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1, -1], [1, 1], [1/2, 1/2], [0, 0]]]],
[[2, 12, 9, 7, 1], [v = -2^(1/2), u = 1, 1 < x, x+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [2, 2], [5, 5], [-\
3, -3]]]], [[2, 12, 9, 7, 2], [v = -2^(1/2), u = 1, 1 < x, x+2 < y, z = -(y-x)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [2, 2],
[5, 5], [-1816187/1048576, -3632373/2097152]]]], [[2, 12, 9, 7, 3], [v = -2^(1
/2), u = 1, 1 < x, x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [2, 2], [5, 5], [-\
1/4194304, -1/4194304]]]], [[2, 12, 9, 7, 4], [v = -2^(1/2), u = 1, 1 < x, x+2
< y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1
, 1], [2, 2], [5, 5], [908093/524288, 1816187/1048576]]]], [[2, 12, 9, 7, 5],
[v = -2^(1/2), u = 1, 1 < x, x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [2, 2], [5, 5], [3, 3]]]], [[2, 14,
3, 5, 1], [v = -2^(1/2), u = -v, And(-1 < x,x < 0), And(0 < y,y < x+1), z < -(
y-x)^(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+1), z = -(y-x)
^(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, 5, 3], [v = -2^(1/2), u = -v, And(-1 < x,x < 0), And(
0 < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 5, 4], [v = -2^(1/2),
u = -v, And(-1 < x,x < 0), And(0 < y,y < x+1), z = (y-x)^(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, 5, 5], [v = -2^(1/2), u = -v, And(-1 < x,x < 0), And(0 < y,y < x+1), (y
-x)^(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(0 < y,y < u^2-v^
2), z < -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-3, -3], [-1, -1], [7909297/2097152, 7909297/2097152], [-4, -4]]]], [[3, 1, 4
, 7, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = -1, And(0 < y,y <
u^2-v^2), z = -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [-1, -1], [7909297/2097152, 7909297/2097152], [-286309/
131072, -2290471/1048576]]]], [[3, 1, 4, 7, 3], [And(-2^(1/2) < v,v < -1), u <
-(v^2+2)^(1/2), x = -1, And(0 < y,y < u^2-v^2), And(-(y+1)^(1/2) < z,z < (y+1)
^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1
, -1], [7909297/2097152, 7909297/2097152], [0, 0]]]], [[3, 1, 4, 7, 4], [And(-
2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = -1, And(0 < y,y < u^2-v^2), z = (
y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3],
[-1, -1], [7909297/2097152, 7909297/2097152], [2290471/1048576, 286309/131072]
]]], [[3, 1, 4, 7, 5], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = -1,
And(0 < y,y < u^2-v^2), (y+1)^(1/2) < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3, -3], [-1, -1], [7909297/2097152, 7909297/2097152], [4,
4]]]], [[3, 2, 6, 6, 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, 6
, 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, 6, 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, 6, 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, 6, 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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
, 8, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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]]]], [[4, 1, 5, 2, 1], [v = -1, u < -3^(1/2), And(-1 < x,x < 0), y =
x-u^2+2, z = z], [regular_chain, [[-1, -1], [-3, -3], [-1/2, -1/2], [-15/2, -\
15/2], [0, 0]]]], [[4, 2, 7, 3, 1], [v = -1, u = -3^(1/2), And(0 < x,x < 1), 
And(x-1 < 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, 3, 1, 1], [v =
-1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), y < x, z = z], [regular_chain, [
[-1, -1], [-1/2, -1/2], [-11/8, -11/8], [-3, -3], [0, 0]]]], [[4, 8, 6, 1, 1],
[v = -1, u = 0, x = 0, y < 0, z = z], [regular_chain, [[-1, -1], [0, 0], [0, 0
], [-1, -1], [0, 0]]]], [[4, 14, 9, 1, 1], [v = -1, u = 3^(1/2), 1 < x, y < 0,
z = z], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [2, 2], [
-1, -1], [0, 0]]]], [[5, 1, 1, 9, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2),
x < -u^2+v^2-1, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3,
-3], [-11, -11], [1, 1], [-5, -5]]]], [[5, 1, 1, 9, 2], [And(-1 < v,v < 0), u
< -(v^2+2)^(1/2), x < -u^2+v^2-1, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[
-1/2, -1/2], [-3, -3], [-11, -11], [1, 1], [-1816187/524288, -3632373/1048576]
]]], [[5, 1, 1, 9, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x < -u^2+v^2-1,
0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2],
[-3, -3], [-11, -11], [1, 1], [0, 0]]]], [[5, 1, 1, 9, 4], [And(-1 < v,v < 0),
u < -(v^2+2)^(1/2), x < -u^2+v^2-1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [
[-1/2, -1/2], [-3, -3], [-11, -11], [1, 1], [3632373/1048576, 1816187/524288]]
]], [[5, 1, 1, 9, 5], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x < -u^2+v^2-1,
0 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3, -3], [-11, -11],
[1, 1], [5, 5]]]], [[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 = x, z < 0], [regular_chain, [[-1/2, -\
1/2], [-1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/
2097152], [-1260655/1048576, -630327/524288], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [-2521309/2097152, -2521309/2097152], [-1260655/1048576, -630327/
524288], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-1/2, -\
1/2], [-1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/
2097152], [-1260655/1048576, -630327/524288], [1, 1]]]], [[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 < x, z = z], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [-2,
-2], [0, 0]]]], [[5, 10, 8, 7, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x =
1, 3 < y, z < -(y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576,
146543/131072], [1, 1], [4, 4], [-3, -3]]]], [[5, 10, 8, 7, 2], [And(-1 < v,v
< 0), u = (v^2+1)^(1/2), x = 1, 3 < y, 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, 7, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/
2), x = 1, 3 < y, 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, 7, 4], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = 1,
3 < y, 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, 7, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = 1, 3 < y, (y-1)^(1/2) < z
], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [1, 1], [4
, 4], [3, 3]]]], [[6, 1, 8, 2, 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,
1, 3, 1], [v = 0, And(-2^(1/2) < u,u < -1), x < -u^2-1, And(x-u^2+1 < y,y < x)
, z = z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-4,
-4], [-4433959/1048576, -4433959/1048576], [0, 0]]]], [[6, 9, 5, 2, 1], [v = 0
, And(1 < u,u < 2^(1/2)), And(-1 < x,x < 0), y = x-u^2+1, z = z], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [-\
4014395/4194304, -16057579/16777216], [0, 0]]]], [[6, 10, 7, 3, 1], [v = 0, u
= 2^(1/2), And(0 < x,x < 1), And(x-1 < 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, 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 = z], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [0, 0], [-243021/1048576, -243021/1048576], [0
, 0]]]], [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1
/2, 1/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [-1260655/524288, -\
2521309/1048576], [-2, -2]]]], [[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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)
], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-3, -3]
, [-1260655/524288, -2521309/1048576], [-1618333/2097152, -3236665/4194304]]]]
, [[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 = x-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], [-3, -3],
[-1260655/524288, -2521309/1048576], [-1/8388608, -1/8388608]]]], [[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 = x
-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-3, -3], [-1260655/524288, -2521309/1048576], [
404583/524288, 809167/1048576]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2)
< z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-3,
-3], [-1260655/524288, -2521309/1048576], [2, 2]]]], [[8, 1, 10, 2, 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, 3, 3, 9, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1
/2)), And(-u^2 < x,x < -1), u^2+x < y, z < -(y-x)^(1/2)], [regular_chain, [[1,
1], [-6598195/4194304, -6598195/4194304], [-1821767/1048576, -1821767/1048576]
, [2, 2], [-3, -3]]]], [[8, 3, 3, 9, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)
), And(-u^2 < x,x < -1), u^2+x < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1]
, [-6598195/4194304, -6598195/4194304], [-1821767/1048576, -1821767/1048576],
[2, 2], [-2027137/1048576, -16217095/8388608]]]], [[8, 3, 3, 9, 3], [v = 1, 
And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), u^2+x < y, And(-(y-x)^(1
/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [-1821767/1048576, -1821767/1048576], [2, 2], [-7/16777216,
-7/16777216]]]], [[8, 3, 3, 9, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And
(-u^2 < x,x < -1), u^2+x < y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-\
6598195/4194304, -6598195/4194304], [-1821767/1048576, -1821767/1048576], [2,
2], [15837/8192, 2027137/1048576]]]], [[8, 3, 3, 9, 5], [v = 1, And(-3^(1/2) <
u,u < -2^(1/2)), And(-u^2 < x,x < -1), u^2+x < y, (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1821767/
1048576, -1821767/1048576], [2, 2], [3, 3]]]], [[8, 7, 8, 3, 1], [v = 1, And(-\
1 < u,u < 0), x = 0, And(0 < y,y < u^2), z < -y^(1/2)], [regular_chain, [[1, 1
], [-1/2, -1/2], [0, 0], [1/8, 1/8], [-2, -2]]]], [[8, 7, 8, 3, 2], [v = 1, 
And(-1 < u,u < 0), x = 0, And(0 < y,y < u^2), 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, 3, 3], [v = 1, And(-1 < u,u < 0), x = 0, And(0 < y,y < u^2), 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, 3, 4], [v = 1, And(-1 < u,u < 0), x = 0, And(0 < y
,y < u^2), 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, 3, 5], [v = 1, And(-1 < u,
u < 0), x = 0, And(0 < y,y < u^2), y^(1/2) < z], [regular_chain, [[1, 1], [-1/
2, -1/2], [0, 0], [1/8, 1/8], [2, 2]]]], [[8, 9, 3, 8, 1], [v = 1, And(0 < u,u
< 1), And(u^2-2 < x,x < -1), y = x-u^2+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, 8,
2], [v = 1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), y = x-u^2+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, 8, 3], [v = 1, And(0 < u,u < 1),
And(u^2-2 < x,x < -1), y = x-u^2+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, 8, 4], [v = 1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), y = x-u^2
+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, 8, 5], [v = 1, And(0
< u,u < 1), And(u^2-2 < x,x < -1), y = x-u^2+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, 5, 1, 1], [v = 1, 3^(1/2) < u, And(-1 < x,x < 0), y < x-u^2+2, z = z], [
regular_chain, [[1, 1], [3, 3], [-1/2, -1/2], [-9, -9], [0, 0]]]], [[9, 1, 7,
6, 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, 6, 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, 6, 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, 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], [558339/1048576, 139585/262144], [-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], [558339/
1048576, 139585/262144], [-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
], [558339/1048576, 139585/262144], [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], [558339/1048576, 139585/262144], [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], [558339/1048576, 139585/262144], [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(u^2-v^2+x+1 < y,y < 0), z < -(y-x)^(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(u^2-v^2+x+1 < y,y < 0), z = -(y-x)^(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(u^2-v^2+x+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(u^2-
v^2+x+1 < y,y < 0), z = (y-x)^(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(u^2-v^2+x+1 < y,y < 0), (y-x)^(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 < -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], [883771/524288, 
883771/524288], [-3, -3]]]], [[9, 9, 8, 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^2-1 < y,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], [883771/524288, 
883771/524288], [-1162243/1048576, -581121/524288]]]], [[9, 9, 8, 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^2-1 < 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], [0, 0], [
239655/524288, 479311/1048576], [883771/524288, 883771/524288], [0, 0]]]], [[9
, 9, 8, 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^2-1 < y,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], [883771/524288, 883771/524288], [581121/524288, 
1162243/1048576]]]], [[9, 9, 8, 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^2-1 < y,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], [883771/524288, 883771/
524288], [3, 3]]]], [[9, 11, 4, 1, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1
/2) < u,u < v), x = -1, y < -1, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1], [-2, -2], [0, 0]
]]], [[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], [501965/1048576, 250983/524288], [-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], [
501965/1048576, 250983/524288], [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], [501965/1048576, 250983/
524288], [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, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [-10, -10], [1, 1], [-5, -5]]]], [[9, 17, 1
, 9, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, 0 < y, z
= -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3],
[-10, -10], [1, 1], [-1738867/524288, -3477733/1048576]]]], [[9, 17, 1, 9, 3],
[And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, 0 < y, And(-(y-x)^
(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [-10, -10], [1, 1], [0, 0]]]], [[9, 17, 1, 9, 4], [And(1 < v
,v < 2^(1/2)), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, 0 < y, z = (y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10, -10], [1, 1]
, [3477733/1048576, 1738867/524288]]]], [[9, 17, 1, 9, 5], [And(1 < v,v < 2^(1
/2)), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10, -10], [1, 1]
, [5, 5]]]], [[10, 5, 8, 6, 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], [773191/524288, 
1546383/1048576], [-3, -3]]]], [[10, 5, 8, 6, 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], [
773191/524288, 1546383/1048576], [-636691/524288, -1273381/1048576]]]], [[10,
5, 8, 6, 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], [773191/524288, 
1546383/1048576], [0, 0]]]], [[10, 5, 8, 6, 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], [
773191/524288, 1546383/1048576], [1273381/1048576, 636691/524288]]]], [[10, 5,
8, 6, 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], [773191/524288, 1546383/1048576], [3, 3]]]], [[10
, 7, 5, 7, 1], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1), And(0
< y,y < x-u^2+3), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/
2097152], [853897/2097152, 853897/2097152], [-3, -3]]]], [[10, 7, 5, 7, 2], [v
= 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1), And(0 < y,y < x-u^2+3),
z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [
853897/2097152, 853897/2097152], [-1117471/1048576, -558735/524288]]]], [[10,
7, 5, 7, 3], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1), And(0 <
y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
1527887/2097152, -1527887/2097152], [853897/2097152, 853897/2097152], [0, 0]]]
], [[10, 7, 5, 7, 4], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1)
, And(0 < y,y < x-u^2+3), z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -\
1527887/2097152], [853897/2097152, 853897/2097152], [558735/524288, 1117471/
1048576]]]], [[10, 7, 5, 7, 5], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x
< -u^2+1), And(0 < y,y < x-u^2+3), (y-x)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1527887/
2097152, -1527887/2097152], [853897/2097152, 853897/2097152], [3, 3]]]], [[10,
11, 6, 5, 1], [v = 2^(1/2), And(0 < u,u < 1), x = 0, And(0 < y,y < -u^2+3), 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, 5, 2], [v = 2^(1/2), And(0 < u,u
< 1), x = 0, And(0 < y,y < -u^2+3), 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, 5, 3], [v = 2^(1/2), And(0 < u,u < 1), x = 0,
And(0 < y,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], [11/8, 11/8], [0, 0]]]],
[[10, 11, 6, 5, 4], [v = 2^(1/2), And(0 < u,u < 1), x = 0, And(0 < y,y < -u^2+
3), 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, 5,
5], [v = 2^(1/2), And(0 < u,u < 1), x = 0, And(0 < y,y < -u^2+3), y^(1/2) < z]
, [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [0, 0], [11/8
, 11/8], [3, 3]]]], [[10, 13, 2, 1, 1], [v = 2^(1/2), And(1 < u,u < v), x = u^
2-3, y < u^2-3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-3235683/2097152, -1617841/1048576], [-3,
-3], [0, 0]]]], [[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(x-u^2+v^2+1 < 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, 6,
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, 6, 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, 6, 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, 6, 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, 6,
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, 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
< -y^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608],
[0, 0], [4, 4], [-3, -3]]]], [[11, 9, 6, 7, 2], [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 = -y^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [0, 0], [4, 4]
, [-2, -2]]]], [[11, 9, 6, 7, 3], [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, 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, 7, 4], [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 = y^(1/2)], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [0, 0], [4, 4], [2, 2]]]], [[11, 9, 6, 7
, 5], [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, y^(1/2) < z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [0, 0], [4, 4], [3, 3]]]], [[11, 10, 9, 5, 1], [2^(1/2) < v, u = -(v
^2-2)^(1/2), 1 < x, And(x-1 < y,y < 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, 0 < y, z
< -(y-x)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-3,
-3], [1, 1], [-3, -3]]]], [[11, 17, 1, 9, 2], [2^(1/2) < v, And(v < u,u < (v^2
+1)^(1/2)), x < -u^2+v^2-1, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3],
[403851/131072, 403851/131072], [-3, -3], [1, 1], [-2, -2]]]], [[11, 17, 1, 9,
3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, 0 < y, And(-(y
-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [-3, -3], [1, 1], [0, 0]]]], [[11, 17, 1, 9, 4], [2^(1/2) < v,
And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, 0 < y, z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-3, -3], [1, 1], [2,
2]]]], [[11, 17, 1, 9, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x < -u^
2+v^2-1, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [-3, -3], [1, 1], [3, 3]]]], [[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 = x, z < 0], [regular_chain, [[-3, -3], [-5
, -5], [16, 16], [16, 16], [-1, -1]]]], [[1, 1, 11, 6, 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, 6, 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, 7, 1], [v < -2^(1/2), And(-(v^2+2)^(
1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(0 < y,y < u^2-v^2), z < -(y+1)^(1/2)
], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-1, -1],
[391655/524288, 391655/524288], [-3, -3]]]], [[1, 3, 4, 7, 2], [v < -2^(1/2),
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(0 < y,y < u^2-v^2), z
= -(y+1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [-1, -1], [391655/524288, 391655/524288], [-346489/262144, -1385955/
1048576]]]], [[1, 3, 4, 7, 3], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2
+1)^(1/2)), x = -1, And(0 < y,y < u^2-v^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/
2))], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-1, -1
], [391655/524288, 391655/524288], [0, 0]]]], [[1, 3, 4, 7, 4], [v < -2^(1/2),
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(0 < y,y < u^2-v^2), z
= (y+1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576
], [-1, -1], [391655/524288, 391655/524288], [1385955/1048576, 346489/262144]]
]], [[1, 3, 4, 7, 5], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), x = -1, And(0 < y,y < u^2-v^2), (y+1)^(1/2) < z], [regular_chain, [[-3, -3]
, [-3396811/1048576, -3396811/1048576], [-1, -1], [391655/524288, 391655/
524288], [3, 3]]]], [[1, 7, 9, 7, 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-u^2+v^2+1), z < -(y-x)^(1/2)
], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2]
, [3/2, 3/2], [-2, -2]]]], [[1, 7, 9, 7, 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-u^2+v^2+1), z = -(y-x
)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1/
2, 1/2], [3/2, 3/2], [-1, -1]]]], [[1, 7, 9, 7, 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-u^2+v^2+1), And
(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[1, 7, 9, 7, 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-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[1, 7,
9, 7, 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-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3],
[-6111549/2097152, -6111549/2097152], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[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 = 0, z < -1], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [-1, -1], [0, 0], [-2, -2]]]], [[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 = 0, z = -1], [regular_chain
, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1, -1], [0, 0], [-1, -1
]]]], [[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 = 0, And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [-1, -1], [0, 0], [0, 0]]]], [[1, 9, 4, 6, 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, 6, 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, 15, 2, 7, 1], [
v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, 0 < y, z < -(y-u^2
+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152],
[-3161161/2097152, -395145/262144], [1, 1], [-3, -3]]]], [[1, 15, 2, 7, 2], [v
< -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, 0 < y, z = -(y-u^2+v
^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [
-3161161/2097152, -395145/262144], [1, 1], [-1660383/1048576, -3320765/2097152
]]]], [[1, 15, 2, 7, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = u^2
-v^2-1, 0 < y, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3161161/
2097152, -395145/262144], [1, 1], [-1/4194304, -1/4194304]]]], [[1, 15, 2, 7,
4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, 0 < y, z = (y
-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-3161161/2097152, -395145/262144], [1, 1], [830191/524288, 1660383/
1048576]]]], [[1, 15, 2, 7, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
x = u^2-v^2-1, 0 < y, (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-3161161/2097152, -395145/262144], [1, 1],
[3, 3]]]], [[1, 16, 6, 2, 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, 20, 9, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 2, 7, 1], [v = -2^(1/2), u < -2, x = -u^2+1, 0 < y, z <
-(u^2+y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -\
3], [-8, -8], [1, 1], [-4, -4]]]], [[2, 1, 2, 7, 2], [v = -2^(1/2), u < -2, x
= -u^2+1, 0 < y, z = -(u^2+y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [-8, -8], [1, 1], [-3, -3]]]], [[2, 1, 2, 7, 3], [v
= -2^(1/2), u < -2, x = -u^2+1, 0 < y, 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, 7, 4], [v = -2^(1/2), u < -2, x = -u^2+1, 0
< y, z = (u^2+y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-3, -3], [-8, -8], [1, 1], [3, 3]]]], [[2, 1, 2, 7, 5], [v = -2^(1/2), u <
-2, x = -u^2+1, 0 < y, (u^2+y-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [-8, -8], [1, 1], [4, 4]]]], [[2, 11, 1, 3
, 1], [v = -2^(1/2), And(0 < u,u < 1), x < u^2-3, And(u^2+x-1 < y,y < x), z =
z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-4, -4],
[-35/8, -35/8], [0, 0]]]], [[2, 12, 4, 1, 1], [v = -2^(1/2), u = 1, x = -1, y
< -1, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1
, -1], [-2, -2], [0, 0]]]], [[2, 17, 1, 2, 1], [v = -2^(1/2), And(3^(1/2) < u,
u < 2), x < -u^2+1, y = x-u^2+3, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3913339/2097152, 3913339/2097152], [-4, -4], [-1174943/262144
, -4699771/1048576], [0, 0]]]], [[2, 18, 3, 3, 1], [v = -2^(1/2), u = 2, And(-\
3 < x,x < -1), And(x-1 < y,y < x), z = z], [regular_chain, [[-1482911/1048576,
-741455/524288], [2, 2], [-2, -2], [-5/2, -5/2], [0, 0]]]], [[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 =
x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [-2587389/
1048576, -646847/262144], [-2, -2]]]], [[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 = x-u^2+v^2+1, z = -(-u^
2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-3, -3], [-2587389/1048576, -646847/
262144], [-1530309/2097152, -382577/524288]]]], [[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 = x-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], [-3,
-3], [-2587389/1048576, -646847/262144], [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 = x-u^2+v^
2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [-2587389/1048576, -\
646847/262144], [382577/524288, 765155/1048576]]]], [[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 = x-u^2+v^
2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [-2587389/1048576, -\
646847/262144], [2, 2]]]], [[3, 6, 4, 2, 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, 2
, 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, 2, 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, 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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [-\
5841085/2097152, -5841085/2097152], [-2, -2]]]], [[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(x < y,y < u
^2-v^2+x+1), z = -(y-x)^(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, 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(x
< y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-3,
-3], [-5841085/2097152, -5841085/2097152], [0, 0]]]], [[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(x < y,
y < u^2-v^2+x+1), z = (y-x)^(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, 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(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [-\
5841085/2097152, -5841085/2097152], [2, 2]]]], [[3, 12, 4, 1, 1], [And(-2^(1/2
) < v,v < -1), u = -v, x = 0, y < 0, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0], [-1, -\
1], [0, 0]]]], [[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(x < y,y < u^2-v^2+x+1), z < -(y-x)
^(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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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(x < y,y < u^2-v^2+x+1), And
(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2-v^
2+x+1), z = (y-x)^(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(x
< y,y < u^2-v^2+x+1), (y-x)^(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 = 0, z < -(-x)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-2, -\
2], [0, 0], [-3, -3]]]], [[3, 16, 3, 6, 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, 6, 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, 6, 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, 6, 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
, 2, 6, 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, 6, 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, 6, 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, 6,
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, 6, 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, 4, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 11, 3, 4, 1], [v = -1, And(1 < u,u < 2^(1/2)),
And(-u^2 < x,x < -1), y = x-u^2+2, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1,
-1], [1265743/1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576],
[-359483/524288, -1437931/2097152], [-2, -2]]]], [[4, 11, 3, 4, 2], [v = -1, 
And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), y = x-u^2+2, z = -(-u^2+2)^(1/2)
], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1288231/
1048576, -1288231/1048576], [-359483/524288, -1437931/2097152], [-772605/
1048576, -1545209/2097152]]]], [[4, 11, 3, 4, 3], [v = -1, And(1 < u,u < 2^(1/
2)), And(-u^2 < x,x < -1), y = x-u^2+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], [-359483/524288, -1437931/2097152], [-1/
4194304, -1/4194304]]]], [[4, 11, 3, 4, 4], [v = -1, And(1 < u,u < 2^(1/2)), 
And(-u^2 < x,x < -1), y = x-u^2+2, z = (-u^2+2)^(1/2)], [regular_chain, [[-1,
-1], [1265743/1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576],
[-359483/524288, -1437931/2097152], [193151/262144, 772605/1048576]]]], [[4, 
11, 3, 4, 5], [v = -1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), y = x-u^2
+2, (-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-1288231/1048576, -1288231/1048576], [-359483/524288, -1437931/
2097152], [2, 2]]]], [[4, 12, 6, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 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 = z], [regular_chain, [[-1/2, -1/2], [-3
, -3], [0, 0], [-31/8, -31/8], [0, 0]]]], [[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(u^2-v^2+x+1 < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3, 3], [-11, -11], [-5/8, -5/8], [-5, -5]]]], [
[5, 13, 1, 7, 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 < 0), z = -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3
], [-11, -11], [-5/8, -5/8], [-1688745/524288, -3377489/1048576]]]], [[5, 13,
1, 7, 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 < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2,
-1/2], [3, 3], [-11, -11], [-5/8, -5/8], [0, 0]]]], [[5, 13, 1, 7, 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 < 0), z =
(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-11, -11], [-5/8, -5/8],
[3377489/1048576, 1688745/524288]]]], [[5, 13, 1, 7, 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 < 0), (y-x)^(1/2) < z]
, [regular_chain, [[-1/2, -1/2], [3, 3], [-11, -11], [-5/8, -5/8], [5, 5]]]],
[[6, 1, 3, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 4, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 5, 1], [v = 0, And(0 < u,u < 1), x < -u^2-1, And(x-u^2+1 < y,y < u^2+x+1
), z < -(y-x)^(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(x-u^2
+1 < y,y < u^2+x+1), z = -(y-x)^(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(x-u^2+1 < y,y < u^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x-u^2+1 < y,y < u^2+x+1),
z = (y-x)^(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(x-u^2+1 < y
,y < u^2+x+1), (y-x)^(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 < -(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, 8, 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, 8, 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, 8, 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, 8, 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, 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, 0 <
y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [-4, -4], [1, 1], [-4, -4]]]], [[7, 3, 1, 9, 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, 0 < y, z = -(y-x)^
(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-4, -4
], [1, 1], [-146543/65536, -2344687/1048576]]]], [[7, 3, 1, 9, 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, 0 < y, And
(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [-4, -4], [1, 1], [0, 0]]]], [[7, 3, 1, 9, 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, 0 < y,
z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144
], [-4, -4], [1, 1], [2344687/1048576, 146543/65536]]]], [[7, 3, 1, 9, 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,
0 < y, (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151
/262144], [-4, -4], [1, 1], [4, 4]]]], [[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 < -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], [1/4, 1/4], [-\
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 < -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], [1/4, 1/4], [-1, -1]]]], [[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 < -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], [1/4, 1/4], [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 < -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], [
1/4, 1/4], [1, 1]]]], [[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 < -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], [1/4, 1/4], [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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1
/2], [1696631/2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152],
[-159059/262144, -1272471/2097152], [-2, -2]]]], [[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 = x-u^2+v^
2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152,
1696631/2097152], [-2521309/2097152, -2521309/2097152], [-159059/262144, -\
1272471/2097152], [-1618333/2097152, -3236665/4194304]]]], [[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
= x-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], [-2521309/
2097152, -2521309/2097152], [-159059/262144, -1272471/2097152], [-1/8388608, -\
1/8388608]]]], [[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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-2521309/
2097152, -2521309/2097152], [-159059/262144, -1272471/2097152], [404583/524288
, 809167/1048576]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z
], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-2521309/
2097152, -2521309/2097152], [-159059/262144, -1272471/2097152], [2, 2]]]], [[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 < -y^(1/2)], [regular_chain, [[1/2, 1/2], [
343151/262144, 343151/262144], [0, 0], [1291597/1048576, 1291597/1048576], [-3
, -3]]]], [[7, 11, 6, 5, 2], [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 = -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, 5, 3], [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
), 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, 5, 4], [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 = 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, 5, 5], [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), y^(1/2) <
z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [0, 0], [
1291597/1048576, 1291597/1048576], [3, 3]]]], [[7, 12, 9, 3, 1], [And(0 < v,v
< 1), u = (v^2+2)^(1/2), 1 < x, And(0 < y,y < x-1), z = z], [regular_chain, [[
1/2, 1/2], [3/2, 3/2], [2, 2], [1/2, 1/2], [0, 0]]]], [[8, 3, 8, 1, 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],
[-1, -1], [0, 0]]]], [[8, 5, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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], [569265/
1048576, 284633/524288], [-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], [569265/1048576, 284633/524288], [-\
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], [569265/
1048576, 284633/524288], [-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], [569265/
1048576, 284633/524288], [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], [569265/
1048576, 284633/524288], [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 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-3643533/2097152,
-3643533/2097152], [2, 2], [-3, -3]]]], [[8, 13, 3, 9, 2], [v = 1, And(2^(1/2)
< u,u < 3^(1/2)), And(-u^2 < x,x < -1), u^2+x < y, z = -(y-x)^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-3643533/2097152,
-3643533/2097152], [2, 2], [-16217095/8388608, -8108547/4194304]]]], [[8, 13,
3, 9, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), u^2+x <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152], [2, 2], [-3/
8388608, -3/8388608]]]], [[8, 13, 3, 9, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2
)), And(-u^2 < x,x < -1), u^2+x < y, z = (y-x)^(1/2)], [regular_chain, [[1, 1]
, [3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152], [2
, 2], [15837/8192, 2027137/1048576]]]], [[8, 13, 3, 9, 5], [v = 1, And(2^(1/2)
< u,u < 3^(1/2)), And(-u^2 < x,x < -1), u^2+x < y, (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-3643533/2097152,
-3643533/2097152], [2, 2], [3, 3]]]], [[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(x < y,y < u^2-v^2+x+1), z < -(y-x)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [8, 8],
[25735089/2097152, 25735089/2097152], [-4, -4]]]], [[9, 1, 11, 7, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -\
3], [8, 8], [25735089/2097152, 25735089/2097152], [-2167143/1048576, -1083571/
524288]]]], [[9, 1, 11, 7, 3], [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), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [8, 8], [
25735089/2097152, 25735089/2097152], [0, 0]]]], [[9, 1, 11, 7, 4], [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
= (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3],
[8, 8], [25735089/2097152, 25735089/2097152], [1083571/524288, 2167143/1048576
]]]], [[9, 1, 11, 7, 5], [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), (y-x)^(1/2) < z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-3, -3], [8, 8], [25735089/2097152, 25735089/
2097152], [4, 4]]]], [[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(x-u^2+v^2+1 < y,y < x), z
= z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608,
-14373233/8388608], [-1/2, -1/2], [-49617331/67108864, -49617331/67108864], [0
, 0]]]], [[9, 13, 8, 7, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/
2)), x = 0, u^2-v^2+1 < y, z < -y^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [0, 0], [3, 3], [-3, -3]
]]], [[9, 13, 8, 7, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)),
x = 0, u^2-v^2+1 < y, 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, 7, 3], [And(1 < v,v < 2^(1/
2)), And(v < u,u < (v^2+1)^(1/2)), x = 0, u^2-v^2+1 < y, 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, 7, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 0, u^
2-v^2+1 < y, 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, 7, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)
^(1/2)), x = 0, u^2-v^2+1 < y, y^(1/2) < z], [regular_chain, [[1265743/1048576
, 1265743/1048576], [1454701/1048576, 1454701/1048576], [0, 0], [3, 3], [3, 3]
]]], [[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 < -1), z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1, -1], [
-2599117/2097152, -2599117/2097152], [0, 0]]]], [[10, 2, 1, 1, 1], [v = 2^(1/2
), u = -2, x < -3, y < x-1, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [-4, -4], [-6, -6], [0, 0]]]], [[10, 3, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 1, 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], [-1, -1], [0, 0]]]], [[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, 2*u^2-4 < y, z
< -(y-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [-1101541/2097152, -275385/524288], [2, 2],
[-3, -3]]]], [[10, 15, 6, 7, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = u^2
-3, 2*u^2-4 < y, z = -(y-u^2+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, 7,
3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = u^2-3, 2*u^2-4 < y, And(-(y-u^2+
3)^(1/2) < z,z < (y-u^2+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, 7, 4], [v = 2^(1/2)
, And(v < u,u < 3^(1/2)), x = u^2-3, 2*u^2-4 < y, z = (y-u^2+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, 7, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = u^2
-3, 2*u^2-4 < y, (y-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-1101541/2097152, -\
275385/524288], [2, 2], [3, 3]]]], [[10, 17, 2, 3, 1], [v = 2^(1/2), And(3^(1/
2) < u,u < 2), x = -u^2+1, And(-2*u^2+4 < y,y < -u^2+1), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-650655/262144, -2602619/1048576], [-45685649/16777216, -45685649/
16777216], [0, 0]]]], [[10, 19, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6
, 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, 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 < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [
-1/2, -1/2], [18, 18], [-6, -6]]]], [[11, 1, 5, 9, 2], [2^(1/2) < v, u < -(v^2
+2)^(1/2), And(-1 < x,x < 0), u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-5, -5], [-1/2, -1/2], [18, 18], [-281881/65536, -\
4510095/1048576]]]], [[11, 1, 5, 9, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(
-1 < x,x < 0), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [-5, -5], [-1/2, -1/2], [18, 18], [0, 0]]]], [[11, 1,
5, 9, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-1 < x,x < 0), u^2-v^2+x+1 < y
, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-1/2, -1/2], [18, 18],
[4510095/1048576, 281881/65536]]]], [[11, 1, 5, 9, 5], [2^(1/2) < v, u < -(v^2
+2)^(1/2), And(-1 < x,x < 0), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-5, -5], [-1/2, -1/2], [18, 18], [6, 6]]]], [[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 < 2*u^2-2*v^2), z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-531193/1048576, -1062385/2097152], [517383/
1048576, 517383/1048576], [-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 < 2*u^2-2*v^2), z = -(y-u
^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [
-531193/1048576, -1062385/2097152], [517383/1048576, 517383/1048576], [-\
34359733895/34359738368, -4398045938559/4398046511104]]]], [[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 < 2*u
^2-2*v^2), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-531193/1048576, -\
1062385/2097152], [517383/1048576, 517383/1048576], [-3621759/8796093022208, -\
3621759/8796093022208]]]], [[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 < 2*u^2-2*v^2), z = (y-u^2+v^2+1)^(1/2
)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-531193/
1048576, -1062385/2097152], [517383/1048576, 517383/1048576], [1048575/1048576
, 1]]]], [[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 < 2*u^2-2*v^2), (y-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-531193/1048576, -\
1062385/2097152], [517383/1048576, 517383/1048576], [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-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-657289/524288, -657289/524288], [133001/524288,
266003/1048576], [-3, -3]]]], [[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-u^2+v^2+1, z = -(-u^2+v^2+1)
^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-\
657289/524288, -657289/524288], [133001/524288, 266003/1048576], [-1287385/
1048576, -160923/131072]]]], [[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-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], [-657289/524288, -657289/524288], [133001/524288, 266003/
1048576], [0, 0]]]], [[11, 7, 3, 8, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^
(1/2)), And(u^2-v^2-1 < x,x < -1), y = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-657289/524288,
-657289/524288], [133001/524288, 266003/1048576], [160923/131072, 1287385/
1048576]]]], [[11, 7, 3, 8, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
And(u^2-v^2-1 < x,x < -1), y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-657289/524288,
-657289/524288], [133001/524288, 266003/1048576], [3, 3]]]], [[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-u^2+v^2+1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [-4, -4], [-1564115/2097152, -1564115/2097152], [-3,
-3]]]], [[11, 13, 1, 7, 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(x-u^2+v^2+1 < y,y < 0), z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-4, -4], [-1564115/
2097152, -1564115/2097152], [-7566241/4194304, -236445/131072]]]], [[11, 13, 1
, 7, 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(x-u^2+v^2+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-4, -4], [-1564115/
2097152, -1564115/2097152], [0, 0]]]], [[11, 13, 1, 7, 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(x-u^2+v^2+1 < y,y < 0)
, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288],
[-4, -4], [-1564115/2097152, -1564115/2097152], [236445/131072, 1891561/
1048576]]]], [[11, 13, 1, 7, 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(x-u^2+v^2+1 < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-4, -4], [-1564115/
2097152, -1564115/2097152], [3, 3]]]], [[11, 14, 5, 2, 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, 2, 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, 2, 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, 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 = x,
z < 0], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-4, -4],
[-4, -4], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [-4, -4], [-4, -4], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-\
4, -4], [-4, -4], [1, 1]]]], [[11, 20, 3, 9, 1], [2^(1/2) < v, u = (v^2+2)^(1/
2), And(-3 < x,x < -1), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [
3477733/1048576, 1738867/524288], [-2, -2], [2, 2], [-3, -3]]]], [[11, 20, 3,
9, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-3 < x,x < -1), x+3 < y, z = -(y-x
)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-2, -2]
, [2, 2], [-2, -2]]]], [[11, 20, 3, 9, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), 
And(-3 < x,x < -1), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-2, -2], [2, 2], [
0, 0]]]], [[11, 20, 3, 9, 4], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-3 < x,x <
-1), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 
1738867/524288], [-2, -2], [2, 2], [2, 2]]]], [[11, 20, 3, 9, 5], [2^(1/2) < v
, u = (v^2+2)^(1/2), And(-3 < x,x < -1), x+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-2, -2], [2, 2], [
3, 3]]]], [[1, 5, 8, 2, 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, 2, 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, 2, 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, 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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3]
, [-6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288], [-\
1048577/2097152, -1048577/2097152], [-2, -2]]]], [[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(x < y,y < u
^2-v^2+x+1), z = -(y-x)^(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, 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(x < y,
y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3
, -3], [-6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288],
[-1048577/2097152, -1048577/2097152], [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(x < y,y < u
^2-v^2+x+1), z = (y-x)^(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, 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(x < y,y
< u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152
, -6111549/2097152], [-391287/524288, -391287/524288], [-1048577/2097152, -\
1048577/2097152], [2, 2]]]], [[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 = x-u^2+v^2+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, 8, 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-u^2+v^2+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, 8, 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-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], [-1/
2, -1/2], [19/2, 19/2], [0, 0]]]], [[1, 11, 5, 8, 4], [v < -2^(1/2), And(-(v^2
-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), y = x-u^2+v^2+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, 8, 5], [v < -2^(1/2), And(-(
v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), y = x-u^2+v^2+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, 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 < x-u^2+v^2+1, z = z]
, [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-915943/
524288, -915943/524288], [-4, -4], [0, 0]]]], [[1, 20, 5, 4, 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, 4, 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, 4, 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, 4, 2
, 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], [-388511/262144, -1554043/1048576], [0, 0]]]], [[2
, 4, 8, 3, 1], [v = -2^(1/2), u = -3^(1/2), x = 1, And(0 < y,y < 1), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [1, 1], [1/2, 1/2], [0, 0]]]], [[2, 7, 4, 5, 1], [v = -2^(1/
2), And(v < u,u < -1), x = -1, And(u^2-2 < y,y < 0), z < -(y+1)^(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(u^2-2 < y,y < 0
), z = -(y+1)^(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(u^2-2 < y,y < 0), And(-(y+1)^(1/2) < z,z
< (y+1)^(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(u^2-2 < y,y < 0), z = (y+1)^(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(u^2-2 < y,y < 0
), (y+1)^(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 = 3, z
< -2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [1
, 1], [3, 3], [-3, -3]]]], [[2, 8, 8, 6, 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, 6, 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, 6, 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, 6, 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, 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+1, 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, 6, 2], [v = -2^(1/2), u = -v, And(-1 < x,x <
0), y = x+1, 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, 6, 3], [v = -2^(1/2), u = -v, And(-1 < x,x < 0), y = x+1, 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, 6, 4], [v =
-2^(1/2), u = -v, And(-1 < x,x < 0), y = x+1, 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, 6, 5], [v = -2^(1/2), u = -v, And(-1 <
x,x < 0), y = x+1, 1 < z], [regular_chain, [[-1482911/1048576, -741455/524288]
, [741455/524288, 1482911/1048576], [-1/2, -1/2], [1/2, 1/2], [2, 2]]]], [[3,
1, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7,
2, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y = x-\
1, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/
2097152, -7798593/4194304], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[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(u^2-v^2-1 < y,y < 2*u^2-2*v^2), z < -(y-u^2+v^2+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, 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(u^2-v^2-1 < y,y < 2*u^2-2*v^2), z = -(y-u^2+v^2+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, 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(u^2-v^2
-1 < y,y < 2*u^2-2*v^2), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+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, 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(u^2-v^2-1 < y,y < 2*u^2-2*v^2), z
= (y-u^2+v^2+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,
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(u^2-v^2-1 < y,y < 2*u^2-2*v^2), (y-u^2+v^2+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, 7, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-1 <
x,x < 0), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [-1/2, -1/2], [3, 3], [-\
3, -3]]]], [[3, 8, 5, 7, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), 
And(-1 < x,x < 0), x+2 < y, z = -(y-x)^(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, 7, 3], [And(-2^(1/2)
< v,v < -1), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), x+2 < y, And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-1417877/2097152, -354469/524288], [-1/2, -1/2], [3, 3], [0, 0]]]], [[3, 8, 5
, 7, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), x+2
< y, z = (y-x)^(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, 7, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)
^(1/2), And(-1 < x,x < 0), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-1/2,
-1/2], [3, 3], [3, 3]]]], [[4, 1, 4, 8, 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, 8, 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,
8, 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, 8,
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, 8, 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, 7, 4, 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, 2, 7, 1], [v = -1, And(-1 < u
,u < 0), x = u^2-2, 0 < y, z < -(y-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [
-1/2, -1/2], [-7/4, -7/4], [1, 1], [-3, -3]]]], [[4, 7, 2, 7, 2], [v = -1, And
(-1 < u,u < 0), x = u^2-2, 0 < y, z = -(y-u^2+2)^(1/2)], [regular_chain, [[-1,
-1], [-1/2, -1/2], [-7/4, -7/4], [1, 1], [-1738867/1048576, -3477733/2097152]]
]], [[4, 7, 2, 7, 3], [v = -1, And(-1 < u,u < 0), x = u^2-2, 0 < y, And(-(y-u^
2+2)^(1/2) < z,z < (y-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2],
[-7/4, -7/4], [1, 1], [-1/4194304, -1/4194304]]]], [[4, 7, 2, 7, 4], [v = -1,
And(-1 < u,u < 0), x = u^2-2, 0 < y, z = (y-u^2+2)^(1/2)], [regular_chain, [[-\
1, -1], [-1/2, -1/2], [-7/4, -7/4], [1, 1], [869433/524288, 1738867/1048576]]]
], [[4, 7, 2, 7, 5], [v = -1, And(-1 < u,u < 0), x = u^2-2, 0 < y, (y-u^2+2)^(
1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-7/4, -7/4], [1, 1], [3,
3]]]], [[4, 8, 6, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 5, 1], [v = -1, u = 3^(1/2), x = 1, And(1 < y,y < 4), z < -(y
-1)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [1, 1
], [5/2, 5/2], [-3, -3]]]], [[4, 14, 8, 5, 2], [v = -1, u = 3^(1/2), x = 1, 
And(1 < y,y < 4), 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, 5, 3], [v = -1, u = 3^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 4], [v = -1, u = 3^(1
/2), x = 1, And(1 < y,y < 4), 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, 5, 5], [v = -1, u = 3^(1/2), x = 1, And(1 < y,y < 4),
(y-1)^(1/2) < z], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576],
[1, 1], [5/2, 5/2], [3, 3]]]], [[5, 1, 2, 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 = z], [regular_chain, [[-1/2, -\
1/2], [-3, -3], [-39/4, -39/4], [-19, -19], [0, 0]]]], [[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 <
x, z = z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152]
, [-2521309/2097152, -2521309/2097152], [-3, -3], [0, 0]]]], [[5, 6, 6, 7, 1],
[And(-1 < v,v < 0), u = v, x = 1, 2 < y, z < -(y-1)^(1/2)], [regular_chain, [[
-1/2, -1/2], [-1/2, -1/2], [1, 1], [3, 3], [-3, -3]]]], [[5, 6, 6, 7, 2], [And
(-1 < v,v < 0), u = v, x = 1, 2 < y, 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, 7, 3], [And(-1 < v,v < 0), u = v, x = 1, 2 < y, 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, 7, 4], [And(-1 < v,v < 0), u = v, x = 1, 2 < y, 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, 7, 5], [And(-1 < v,v < 0), u =
v, x = 1, 2 < y, (y-1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2]
, [1, 1], [3, 3], [3, 3]]]], [[5, 9, 4, 7, 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 < -(y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [
424157/2097152, 424157/2097152], [-3, -3]]]], [[5, 9, 4, 7, 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 = -(y+1
)^(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, 7, 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(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [
424157/2097152, 424157/2097152], [0, 0]]]], [[5, 9, 4, 7, 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 = (y+1)^(
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, 7, 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), (y+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631
/2097152, 1696631/2097152], [-1, -1], [424157/2097152, 424157/2097152], [3, 3]
]]], [[5, 10, 9, 1, 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],
[-1, -1], [0, 0]]]], [[6, 1, 8, 1, 1], [v = 0, u < -2^(1/2), x = 1, y < -u^2+2
, z = z], [regular_chain, [[0, 0], [-3, -3], [1, 1], [-8, -8], [0, 0]]]], [[6,
3, 1, 6, 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], [-3235683/2097152, -1617841/1048576], [-3, -3]]]], [[6, 3, 1, 6, 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], [-\
3235683/2097152, -1617841/1048576], [-410915/262144, -3287319/2097152]]]], [[6
, 3, 1, 6, 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], [-3235683/2097152, -1617841/1048576], [-\
1/4194304, -1/4194304]]]], [[6, 3, 1, 6, 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], [-3235683/2097152, -1617841/
1048576], [1643659/1048576, 410915/262144]]]], [[6, 3, 1, 6, 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], [-\
3235683/2097152, -1617841/1048576], [3, 3]]]], [[6, 9, 4, 8, 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], [763943/524288, 1527887/
1048576], [-3, -3]]]], [[6, 9, 4, 8, 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], [763943/524288, 1527887/1048576], [-410915/262144,
-3287319/2097152]]]], [[6, 9, 4, 8, 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], [763943/524288, 1527887/
1048576], [-1/4194304, -1/4194304]]]], [[6, 9, 4, 8, 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], [763943/524288, 1527887/1048576],
[1643659/1048576, 410915/262144]]]], [[6, 9, 4, 8, 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], [763943/524288, 1527887/1048576],
[3, 3]]]], [[6, 10, 7, 4, 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, 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 = z], [regular_chain, [[1/2, 1/2
], [-343151/262144, -343151/262144], [0, 0], [-486043/1048576, -243021/524288]
, [0, 0]]]], [[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 < 0), z < -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [-\
3345989/4194304, -3345989/4194304], [-3, -3]]]], [[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
< 0), z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-3, -3], [-3345989/4194304, -3345989/4194304], [-1556087/
1048576, -778043/524288]]]], [[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 < 0), And(-(y-x)^(1/
2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-3, -3], [-3345989/4194304, -3345989/4194304], [0, 0]]]], [
[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 < 0), z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2
], [-1696631/2097152, -1696631/2097152], [-3, -3], [-3345989/4194304, -3345989
/4194304], [778043/524288, 1556087/1048576]]]], [[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 <
0), (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631
/2097152], [-3, -3], [-3345989/4194304, -3345989/4194304], [3, 3]]]], [[8, 1,
10, 5, 1], [v = 1, u < -3^(1/2), x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), z < -(
y-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [7, 7], [23/2, 23/2], [-4,
-4]]]], [[8, 1, 10, 5, 2], [v = 1, u < -3^(1/2), x = u^2-2, And(u^2-2 < y,y <
2*u^2-2), z = -(y-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [7, 7], [
23/2, 23/2], [-1112183/524288, -2224365/1048576]]]], [[8, 1, 10, 5, 3], [v = 1
, u < -3^(1/2), x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), And(-(y-u^2+2)^(1/2) <
z,z < (y-u^2+2)^(1/2))], [regular_chain, [[1, 1], [-3, -3], [7, 7], [23/2, 23/
2], [0, 0]]]], [[8, 1, 10, 5, 4], [v = 1, u < -3^(1/2), x = u^2-2, And(u^2-2 <
y,y < 2*u^2-2), z = (y-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [7, 7
], [23/2, 23/2], [2224365/1048576, 1112183/524288]]]], [[8, 1, 10, 5, 5], [v =
1, u < -3^(1/2), x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), (y-u^2+2)^(1/2) < z],
[regular_chain, [[1, 1], [-3, -3], [7, 7], [23/2, 23/2], [4, 4]]]], [[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
, z < u], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-\
1821767/1048576, -1821767/1048576], [773191/1048576, 96649/131072], [-3, -3]]]
], [[8, 3, 3, 8, 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], [773191/1048576, 96649/131072]
, [-1649549/1048576, -3299097/2097152]]]], [[8, 3, 3, 8, 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], [773191/1048576, 96649/131072], [-1/4194304, -1/
4194304]]]], [[8, 3, 3, 8, 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], [773191/1048576, 
96649/131072], [412387/262144, 1649549/1048576]]]], [[8, 3, 3, 8, 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], [773191/1048576, 96649/131072], [3, 3]]]], [[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(
u^2+x < y,y < 0), z < -(y-x)^(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(u^2+x < y,y < 0), z = -(y-x)^(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(u^2+x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(u^2+x < y,y < 0), z = (y-x)^(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(u^
2+x < y,y < 0), (y-x)^(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 = x, z < 0], [regular_chain, [[1, 1], [3, 3], [-1/2, -1/2],
[-1/2, -1/2], [-1, -1]]]], [[8, 15, 5, 4, 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, 4, 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, 1, 7, 5, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(0 <
x,x < 1), And(0 < y,y < x), 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 < u^2-v^2+1), z < -y^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [0, 0], [1, 1], [-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 < u^2-v^2+1), z = -y^(1/2)], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [0, 0], [1,
1], [-1, -1]]]], [[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 < 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], [1, 1], [0, 0]]]], [[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 < u^2-v^2+1), z = y^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [0, 0], [1, 1], [1, 1]]]], [[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 < u^2-v^2+1), y^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [0, 0], [1, 1
], [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 = x, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
1498947/2097152, -1498947/2097152], [-1498947/2097152, -1498947/2097152], [-1,
-1]]]], [[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 = x, z = 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/
2097152, -1498947/2097152], [-1498947/2097152, -1498947/2097152], [0, 0]]]], [
[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 = x, 0 < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/2097152, -\
1498947/2097152], [-1498947/2097152, -1498947/2097152], [1, 1]]]], [[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 < 0, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152], [-1, -1], [0, 0]
]]], [[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-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-\
5390713/4194304, -5390713/4194304], [2, 2], [-3, -3]]]], [[9, 11, 3, 9, 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
), x-u^2+v^2+1 < y, z = -(y-x)^(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, 9
, 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), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9, 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), x-u^2+v^2+1 < y, z = (y-x)^(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, 9, 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), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-5390713/4194304, -5390713/4194304], [2, 2], [3, 3]]]], [[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 < 2*u^2-2*v^2), z < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [501965/1048576, 250983/524288], [450381/262144, 450381/262144], [-3,
-3]]]], [[9, 15, 8, 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^2-1 < y,y < 2*u^2-2*v^2), z = -(y-u^2
+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [501965/1048576, 250983/524288], [450381/262144, 
450381/262144], [-583671/524288, -1167341/1048576]]]], [[9, 15, 8, 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^2-1 < y,y < 2*u^2-2*v^2), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^
2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [501965/1048576, 250983/524288], [450381/262144, 
450381/262144], [0, 0]]]], [[9, 15, 8, 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^2-1 < y,y < 2*u^2-\
2*v^2), z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [501965/1048576, 250983/524288], [
450381/262144, 450381/262144], [1167341/1048576, 583671/524288]]]], [[9, 15, 8
, 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^2-1 < y,y < 2*u^2-2*v^2), (y-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [501965/1048576, 250983/524288], [450381/262144, 450381/262144], [3,
3]]]], [[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 = u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [-10, -10], [-1527887/1048576, -763943/
524288], [-4, -4]]]], [[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 = u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10, -10], [-\
1527887/1048576, -763943/524288], [-1532401/524288, -24518415/8388608]]]], [[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
= u^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], [-\
1527887/1048576, -763943/524288], [-7/16777216, -7/16777216]]]], [[9, 17, 1, 6
, 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], [-1527887/1048576, -763943/524288], [3064801/
1048576, 1532401/524288]]]], [[9, 17, 1, 6, 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], [-\
1527887/1048576, -763943/524288], [4, 4]]]], [[10, 5, 9, 2, 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, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6
, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 1, 7, 1], [v = 2^(1/2), And(1 < u
,u < v), x < u^2-3, And(x-u^2+3 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-3, -3
], [-763943/1048576, -763943/1048576], [-3, -3]]]], [[10, 13, 1, 7, 2], [v = 2
^(1/2), And(1 < u,u < v), x < u^2-3, And(x-u^2+3 < y,y < 0), z = -(y-x)^(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, 7, 3], [v = 2^(1/2), And(1 < u,u < v), x < u
^2-3, And(x-u^2+3 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 4], [v = 2^(1/2), And(1 < u,u < v), x < u^2-3, 
And(x-u^2+3 < y,y < 0), z = (y-x)^(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, 7
, 5], [v = 2^(1/2), And(1 < u,u < v), x < u^2-3, And(x-u^2+3 < y,y < 0), (y-x)
^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-3, -3], [-763943/1048576, -763943/1048576], [3, 3
]]]], [[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 = 0, z = z], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [129511/524288, 129511/524288], [0, 0], [0
, 0]]]], [[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(-u^2+v^2-1 < 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], [-166446435/134217728, -166446435/134217728], [-2, -2]]]], [
[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(-u^2+v^2-1 < 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], [-166446435/134217728, -166446435/134217728], [-1055459/
2097152, -527729/1048576]]]], [[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(-u^2+v^2-1 < 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], [-\
166446435/134217728, -166446435/134217728], [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(-u^2+v^2-1 < 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], [-166446435/
134217728, -166446435/134217728], [527729/1048576, 263865/524288]]]], [[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(-u
^2+v^2-1 < 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], [-\
166446435/134217728, -166446435/134217728], [2, 2]]]], [[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 < 0), z = z], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [533035/2097152, 533035/2097152], [-133259/
1048576, -133259/1048576], [0, 0]]]], [[11, 10, 9, 4, 1], [2^(1/2) < v, u = -(
v^2-2)^(1/2), 1 < x, y = x-1, z = z], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [2, 2], [1, 1], [0, 0]]]], [[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 < -u^2+v^2-1, z = z
], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-195745/131072, -\
1565959/1048576], [-3, -3], [0, 0]]]], [[11, 18, 5, 1, 1], [2^(1/2) < v, u = (
v^2+1)^(1/2), And(-1 < x,x < 0), y < x, z = z], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[1, 1, 11,
5, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, And(x-u^2+v^2+1 < y,y
< x), 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 < x-u^2+v^2+1, z = z], [regular_chain, [[-3, -3], [
-3396811/1048576, -3396811/1048576], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[1, 7
, 9, 4, 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, 4, 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, 4, 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, 7, 1], [v < -2^(1/2),
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, And(0 < y,y < -u^2+v^2), z
< -(y+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [-1, -1], [1581611/2097152, 1581611/2097152], [-3, -3]]]], [[1, 9, 4
, 7, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, 
And(0 < y,y < -u^2+v^2), z = -(y+1)^(1/2)], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [-1, -1], [1581611/2097152, 1581611/
2097152], [-347197/262144, -1388787/1048576]]]], [[1, 9, 4, 7, 3], [v < -2^(1/
2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, And(0 < y,y < -u^2+v^2
), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [-1, -1], [1581611/2097152, 1581611/
2097152], [0, 0]]]], [[1, 9, 4, 7, 4], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), x = -1, And(0 < y,y < -u^2+v^2), z = (y+1)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1, -1], [
1581611/2097152, 1581611/2097152], [1388787/1048576, 347197/262144]]]], [[1, 9
, 4, 7, 5], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1,
And(0 < y,y < -u^2+v^2), (y+1)^(1/2) < z], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [-1, -1], [1581611/2097152, 1581611/
2097152], [3, 3]]]], [[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 = 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v < -2^(1/2), u = -v, x = 1, And(1 < y,y <
2), z < -(y-1)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [1, 1], [3/2, 3/2],
[-2, -2]]]], [[1, 16, 6, 5, 2], [v < -2^(1/2), u = -v, x = 1, And(1 < y,y < 2)
, z = -(y-1)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [1, 1], [3/2, 3/2], [-\
1482911/2097152, -741455/1048576]]]], [[1, 16, 6, 5, 3], [v < -2^(1/2), u = -v
, x = 1, And(1 < y,y < 2), 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, 5
, 4], [v < -2^(1/2), u = -v, x = 1, And(1 < y,y < 2), z = (y-1)^(1/2)], [
regular_chain, [[-3, -3], [3, 3], [1, 1], [3/2, 3/2], [741455/1048576, 46341/
65536]]]], [[1, 16, 6, 5, 5], [v < -2^(1/2), u = -v, x = 1, And(1 < y,y < 2),
(y-1)^(1/2) < z], [regular_chain, [[-3, -3], [3, 3], [1, 1], [3/2, 3/2], [2, 2
]]]], [[1, 20, 9, 5, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), 1 < x, And(x-1 < y,
y < 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 < x-u^2+3, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [-9/2, -9/2], [-12, -12], [0, 0]]]], [[2, 11, 1, 2,
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, 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 = 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, 6
, 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, 6
, 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, 6, 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, 6, 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, 3, 4,
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, 4, 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, 4, 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, 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(x < y,y < x-u^2+v^2+1), z < -(y-x)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-3, -3], [-5733117/2097152, -5733117/2097152], [-\
2, -2]]]], [[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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(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, 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(x < y,y < x-u^2+v^2+1), And(-(
y-x)^(1/2) < z,z < (y-x)^(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, 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(x < y,y < x-
u^2+v^2+1), z = (y-x)^(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, 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(x < y,
y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [-5733117/
2097152, -5733117/2097152], [2, 2]]]], [[3, 6, 4, 5, 1], [And(-2^(1/2) < v,v <
-1), u = v, x = 0, 1 < y, z < -y^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [2, 2], [-3, -\
3]]]], [[3, 6, 4, 5, 2], [And(-2^(1/2) < v,v < -1), u = v, x = 0, 1 < y, 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, 5, 3], [And(-2^(1/2) < v,v < -1), u = v, x = 0, 1 < y, 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,
5, 4], [And(-2^(1/2) < v,v < -1), u = v, x = 0, 1 < y, 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, 5, 5], [And(-2^(1/2) < v,v < -1), u = v, x = 0, 1 < y, y^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [2, 2], [3, 3]]]], [[3, 10, 9, 7, 1], [And(-2^(1/2)
< v,v < -1), u = (v^2-1)^(1/2), 1 < x, x+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [2, 2], [5, 5], [-3, -3]]]], [[3, 10, 9, 7, 2], [And(-2^(1/2) < v,v
< -1), u = (v^2-1)^(1/2), 1 < x, x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [2, 2],
[5, 5], [-1816187/1048576, -3632373/2097152]]]], [[3, 10, 9, 7, 3], [And(-2^(1
/2) < v,v < -1), u = (v^2-1)^(1/2), 1 < x, x+2 < y, And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/
524288, 708939/1048576], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[3, 10,
9, 7, 4], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), 1 < x, x+2 < y, z = (y
-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/
524288, 708939/1048576], [2, 2], [5, 5], [908093/524288, 1816187/1048576]]]],
[[3, 10, 9, 7, 5], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), 1 < x, x+2 <
y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
354469/524288, 708939/1048576], [2, 2], [5, 5], [3, 3]]]], [[3, 12, 4, 2, 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, 2, 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, 2, 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, 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 = x-u^2+v^2+1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-4, -4], [-2348135/524288, -4696269/1048576], [0, 0]]]], [[3, 16, 3,
7, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(0
< y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [-2, -2], [1/2, 1/2], [-3, -3]]]],
[[3, 16, 3, 7, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-3 < x,x
< -1), And(0 < y,y < x+3), z = -(y-x)^(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, 7, 3], [And(-2^(1/2) <
v,v < -1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [-2, -2], [1/2, 1/2], [0, 0]]]], [[
3, 16, 3, 7, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-3 < x,x <
-1), And(0 < y,y < x+3), z = (y-x)^(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, 7, 5], [And(-2^(1/2) < v,v < -\
1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), (y-x)^(1/2) < z
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 
1949649/1048576], [-2, -2], [1/2, 1/2], [3, 3]]]], [[4, 3, 2, 5, 1], [v = -1,
And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, And(-u^2 < y,y < 0), 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, 5, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, 
And(-u^2 < y,y < 0), 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,
5, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, And(-u^2 < y,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], [-\
1297479/1048576, -1297479/1048576], [0, 0]]]], [[4, 3, 2, 5, 4], [v = -1, And(
-3^(1/2) < u,u < -2^(1/2)), x = -u^2, And(-u^2 < y,y < 0), 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, 5, 5], [v = -1, And(-3^(1/2) < u,u < -2
^(1/2)), x = -u^2, And(-u^2 < y,y < 0), (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, 4, 6, 2, 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, 2, 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, 2, 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, 1, 1], [v = -\
1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), y < x, z = z], [regular_chain
, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1288231/1048576, -1288231/
1048576], [-3, -3], [0, 0]]]], [[4, 12, 6, 5, 1], [v = -1, u = 2^(1/2), x = 0,
2 < y, z < -y^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [0, 0], [3, 3], [-3, -3]]]], [[4, 12, 6, 5, 2], [v = -1, u = 2^(1/2)
, x = 0, 2 < y, z = -y^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 
1482911/1048576], [0, 0], [3, 3], [-1816187/1048576, -3632373/2097152]]]], [[4
, 12, 6, 5, 3], [v = -1, u = 2^(1/2), x = 0, 2 < y, 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, 5, 4], [v = -1, u = 2^(1/2), x =
0, 2 < y, z = y^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [0, 0], [3, 3], [908093/524288, 1816187/1048576]]]], [[4, 12, 6, 5,
5], [v = -1, u = 2^(1/2), x = 0, 2 < y, y^(1/2) < z], [regular_chain, [[-1, -1
], [741455/524288, 1482911/1048576], [0, 0], [3, 3], [3, 3]]]], [[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 = z], [
regular_chain, [[-1/2, -1/2], [-3, -3], [0, 0], [-31/4, -31/4], [0, 0]]]], [[5
, 2, 8, 7, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 1, 4 < y, z < -(y-1
)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1, 1], [5, 5], [-3, -3
]]]], [[5, 2, 8, 7, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 1, 4 < y,
z = -(y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1, 1], [5, 5]
, [-2, -2]]]], [[5, 2, 8, 7, 3], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 1
, 4 < y, 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, 7, 4], [And(-1 < v,v < 0
), u = -(v^2+2)^(1/2), x = 1, 4 < y, z = (y-1)^(1/2)], [regular_chain, [[-1/2,
-1/2], [-3/2, -3/2], [1, 1], [5, 5], [2, 2]]]], [[5, 2, 8, 7, 5], [And(-1 < v,
v < 0), u = -(v^2+2)^(1/2), x = 1, 4 < y, (y-1)^(1/2) < z], [regular_chain, [[
-1/2, -1/2], [-3/2, -3/2], [1, 1], [5, 5], [3, 3]]]], [[5, 13, 1, 4, 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, 4, 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, 4, 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, 9, 1], [v = 0, u < -2^(1/2), And(-u^2-1 < x,x < -1), u^2
+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-11/2, -11/2]
, [6, 6], [-5, -5]]]], [[6, 1, 3, 9, 2], [v = 0, u < -2^(1/2), And(-u^2-1 < x,
x < -1), u^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-\
11/2, -11/2], [6, 6], [-3555895/1048576, -1777947/524288]]]], [[6, 1, 3, 9, 3]
, [v = 0, u < -2^(1/2), And(-u^2-1 < x,x < -1), u^2+x+1 < y, And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [-3, -3], [-11/2, -11/2], [6,
6], [0, 0]]]], [[6, 1, 3, 9, 4], [v = 0, u < -2^(1/2), And(-u^2-1 < x,x < -1),
u^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-11/2, -11/
2], [6, 6], [1777947/524288, 3555895/1048576]]]], [[6, 1, 3, 9, 5], [v = 0, u
< -2^(1/2), And(-u^2-1 < x,x < -1), u^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[0, 0], [-3, -3], [-11/2, -11/2], [6, 6], [5, 5]]]], [[6, 5, 4
, 7, 1], [v = 0, And(-1 < u,u < 0), x = -1, And(0 < y,y < u^2), z < -(y+1)^(1/
2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [1/8, 1/8], [-3, -3]]]],
[[6, 5, 4, 7, 2], [v = 0, And(-1 < u,u < 0), x = -1, And(0 < y,y < u^2), z = -
(y+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [1/8, 1/8], [-\
1112183/1048576, -556091/524288]]]], [[6, 5, 4, 7, 3], [v = 0, And(-1 < u,u <
0), x = -1, And(0 < y,y < u^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [1/8, 1/8], [0, 0]]]], [[6, 5,
4, 7, 4], [v = 0, And(-1 < u,u < 0), x = -1, And(0 < y,y < u^2), z = (y+1)^(1/
2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [1/8, 1/8], [556091/
524288, 1112183/1048576]]]], [[6, 5, 4, 7, 5], [v = 0, And(-1 < u,u < 0), x =
-1, And(0 < y,y < u^2), (y+1)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2
], [-1, -1], [1/8, 1/8], [3, 3]]]], [[6, 7, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 5, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 1, And(
0 < y,y < 1), 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 < -2*u^2+2*v^2, z = z], [regular_chain, [[1
/2, 1/2], [-343151/262144, -343151/262144], [-2583195/1048576, -1291597/524288
], [-4, -4], [0, 0]]]], [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), z = (y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), (y-x)^(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, 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 < x-u^2+v^2+1, z = z], [regular_chain, [[1/2, 1/2], [
343151/262144, 343151/262144], [243021/1048576, 243021/1048576], [-2, -2], [0,
0]]]], [[7, 12, 9, 2, 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, 2, 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, 3, 1], [v = 1, And(-2^(
1/2) < u,u < -1), And(-u^2 < x,x < -1), And(x < y,y < x-u^2+2), z < -(y-x)^(1/
2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1288231/
1048576, -1288231/1048576], [-2007197/2097152, -2007197/2097152], [-2, -2]]]],
[[8, 5, 3, 3, 2], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(
x < y,y < x-u^2+2), z = -(y-x)^(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,
3, 3], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(x < y,y < x
-u^2+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3,
4], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(x < y,y < x-u^
2+2), z = (y-x)^(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, 3, 5], [v = 1, And(-2
^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(x < y,y < x-u^2+2), (y-x)^(1/2)
< z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1288231
/1048576, -1288231/1048576], [-2007197/2097152, -2007197/2097152], [2, 2]]]],
[[8, 11, 8, 7, 1], [v = 1, And(1 < u,u < 2^(1/2)), x = 0, u^2 < y, z < -y^(1/2
)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [0, 0], [3, 3
], [-3, -3]]]], [[8, 11, 8, 7, 2], [v = 1, And(1 < u,u < 2^(1/2)), x = 0, u^2
< y, z = -y^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576
], [0, 0], [3, 3], [-1816187/1048576, -3632373/2097152]]]], [[8, 11, 8, 7, 3],
[v = 1, And(1 < u,u < 2^(1/2)), x = 0, u^2 < y, 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, 7, 4], [v = 1, And(1 < u,u < 2^(1/2))
, x = 0, u^2 < y, z = y^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [0, 0], [3, 3], [908093/524288, 1816187/1048576]]]], [[8, 11
, 8, 7, 5], [v = 1, And(1 < u,u < 2^(1/2)), x = 0, u^2 < y, y^(1/2) < z], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [0, 0], [3, 3], [3
, 3]]]], [[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, z < -u], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [-3643533/2097152, -3643533/2097152], [773191/1048576, 96649
/131072], [-3, -3]]]], [[8, 13, 3, 8, 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], [773191/
1048576, 96649/131072], [-3299097/2097152, -3299097/2097152]]]], [[8, 13, 3, 8
, 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], [773191/1048576, 96649/131072], [-1/
4194304, -1/4194304]]]], [[8, 13, 3, 8, 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], [773191/
1048576, 96649/131072], [412387/262144, 1649549/1048576]]]], [[8, 13, 3, 8, 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], [773191/1048576, 96649/131072], [3, 3]]]], [[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 = u^2
-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [8, 8], [17346481/1048576, 8673241/524288], [-4, -4]]]], [
[9, 1, 11, 8, 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], [17346481/1048576, 8673241/524288], [-\
1532401/524288, -24518415/8388608]]]], [[9, 1, 11, 8, 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], [17346481/1048576, 8673241/524288], [-7/16777216,
-7/16777216]]]], [[9, 1, 11, 8, 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], [17346481/1048576, 
8673241/524288], [3064801/1048576, 1532401/524288]]]], [[9, 1, 11, 8, 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], [17346481/1048576, 8673241/524288], [4, 4]]]], [[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 < -(y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [3, 3], [-3, -3]]]
], [[9, 3, 4, 9, 2], [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 = -(y+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [
3, 3], [-2, -2]]]], [[9, 3, 4, 9, 3], [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, And(-(y+1)^(1/2) < z,z < (y+
1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [-1, -1], [3, 3], [0, 0]]]], [[9, 3, 4, 9, 4], [
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 = (y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [3, 3], [2, 2]]]],
[[9, 3, 4, 9, 5], [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, (y+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [
3, 3], [3, 3]]]], [[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(0 < y,y < x), z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1
/2], [1/4, 1/4], [0, 0]]]], [[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 = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-1, -1], [-775271/524288, -1550541/1048576], [0, 0]]]], [[10, 2, 1,
2, 1], [v = 2^(1/2), u = -2, x < -3, y = x-1, z = z], [regular_chain, [[741455
/524288, 1482911/1048576], [-2, -2], [-4, -4], [-5, -5], [0, 0]]]], [[10, 3, 5
, 3, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), And(x-u^2+
3 < y,y < x), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [-1/2, -1/2], [-24864689/33554432, -\
24864689/33554432], [0, 0]]]], [[10, 9, 9, 4, 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, 11, 2, 3, 1], [v = 2^(1/2), And(0 < u,u < 1), x = u^2-3, And(2*u^2-4 < y,y
< u^2-3), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2
], [-11/4, -11/4], [-25/8, -25/8], [0, 0]]]], [[10, 15, 7, 1, 1], [v = 2^(1/2)
, And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y < x, z = z], [regular_chain,
[[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-\
275385/1048576, -275385/1048576], [-2, -2], [0, 0]]]], [[10, 17, 1, 9, 1], [v
= 2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, 0 < y, z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-4, -4], [1, 1], [-4, -4]]]], [[10, 17, 1, 9, 2], [v = 2^(1/2), And
(3^(1/2) < u,u < 2), x < -u^2+1, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-4, -4],
[1, 1], [-146543/65536, -2344687/1048576]]]], [[10, 17, 1, 9, 3], [v = 2^(1/2)
, And(3^(1/2) < u,u < 2), x < -u^2+1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1
/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [-4, -4], [1, 1], [0, 0]]]], [[10, 17, 1, 9, 4], [v = 2^(1/2
), And(3^(1/2) < u,u < 2), x < -u^2+1, 0 < y, z = (y-x)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-4,
-4], [1, 1], [2344687/1048576, 146543/65536]]]], [[10, 17, 1, 9, 5], [v = 2^(1
/2), And(3^(1/2) < u,u < 2), x < -u^2+1, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-4, -4], [1, 1], [4, 4]]]], [[10, 19, 3, 7, 1], [v = 2^(1/2), 2 < u
, And(-u^2+1 < x,x < -1), And(0 < y,y < u^2+x-1), z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9/2, -9/2], [7/4,
7/4], [-4, -4]]]], [[10, 19, 3, 7, 2], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,x <
-1), And(0 < y,y < u^2+x-1), z = -(y-x)^(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, 7, 3], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), And(0 < y,y <
u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [-9/2, -9/2], [7/4, 7/4], [0, 0]]]], [[10, 
19, 3, 7, 4], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), And(0 < y,y < u^2+x
-1), z = (y-x)^(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, 7, 5], [v = 2^(1/2),
2 < u, And(-u^2+1 < x,x < -1), And(0 < y,y < u^2+x-1), (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9/2, -9/2], [7/4,
7/4], [4, 4]]]], [[11, 1, 5, 6, 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, 6, 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, 6
, 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, 6, 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, 6, 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, 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 < x, z = z]
, [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1062385/4194304
, -1062385/4194304], [-2, -2], [0, 0]]]], [[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(0 < y,y < x-u^2+v^
2+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-657289/524288, -657289/524288], [133001/1048576, 133001/1048576],
[-3, -3]]]], [[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(0 < y,y < x-u^2+v^2+1), z = -(y-x)^(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, 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(0 < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152]
, [-657289/524288, -657289/524288], [133001/1048576, 133001/1048576], [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(0 < y,y < x-u^2+v^2+1), z = (y-x)^(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, 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(0 < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[3, 3
], [-6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288], [
133001/1048576, 133001/1048576], [3, 3]]]], [[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 = 0, z < -(-x)^(1/2
)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-4, -4], [0, 0
], [-3, -3]]]], [[11, 13, 1, 8, 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,
8, 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, 8, 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, 8, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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(u^2-v^2+x+1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [-4, -4], [-3158215/4194304, -3158215/
4194304], [-3, -3]]]], [[11, 19, 1, 7, 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 < 0), z = -(y-x)^(1
/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-4, -4], [
-3158215/4194304, -3158215/4194304], [-3778963/2097152, -7557925/4194304]]]],
[[11, 19, 1, 7, 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 < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2)
)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-4, -4], [-\
3158215/4194304, -3158215/4194304], [-1/8388608, -1/8388608]]]], [[11, 19, 1,
7, 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 < 0), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [-4, -4], [-3158215/4194304, -3158215/
4194304], [1889481/1048576, 944741/524288]]]], [[11, 19, 1, 7, 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 < 0), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [3396811/1048576, 3396811
/1048576], [-4, -4], [-3158215/4194304, -3158215/4194304], [3, 3]]]], [[11, 20
, 3, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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]]]], [[1, 5, 8, 1, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x =
0, y < 0, z = z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072],
[0, 0], [-1, -1], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[-3
, -3], [-6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288],
[-391287/524288, -391287/524288], [-1, -1]]]], [[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 = x, z = 0], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-391287/
524288, -391287/524288], [-391287/524288, -391287/524288], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-391287/524288, -391287/524288], [-391287/524288, -391287/524288],
[1, 1]]]], [[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), x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [0, 0], [-1/2, -1/2], [11, 11], [-5, -5]]]], [[1, 11
, 5, 9, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 <
x,x < 0), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [0, 0
], [-1/2, -1/2], [11, 11], [-3555895/1048576, -1777947/524288]]]], [[1, 11, 5,
9, 3], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x
< 0), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[-3, -3], [0, 0], [-1/2, -1/2], [11, 11], [0, 0]]]], [[1, 11, 5, 9, 4], [v <
-2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), x-u^2+
v^2+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-1/2, -1/2],
[11, 11], [1777947/524288, 3555895/1048576]]]], [[1, 11, 5, 9, 5], [v < -2^(1/
2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), x-u^2+v^2+1
< y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [0, 0], [-1/2, -1/2], [11, 
11], [5, 5]]]], [[1, 12, 8, 5, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 1, 
And(1 < y,y < 4), z < -(y-1)^(1/2)], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [1, 1], [5/2, 5/2], [-3, -3]]]], [[1, 12, 8, 5, 2], [v <
-2^(1/2), u = (v^2-2)^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 3], [v < -2^(1/2), u = (v
^2-2)^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 4], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 1, And(1 <
y,y < 4), 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, 5
, 5], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 1, And(1 < y,y < 4), (y-1)^(1/2) <
z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [1, 1], [5/2, 5/
2], [3, 3]]]], [[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, 0 < y, 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, 7, 2], [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 = -(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, 7, 3], [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, 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, 7,
4], [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 = (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, 7, 5], [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, (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, 5, 3, 1], [v < -2^(1/2),
u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(x-1 < y,y < x), z = z], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1/2, -1/2], [-1
, -1], [0, 0]]]], [[2, 3, 4, 3, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x
= -1, And(-u^2+2 < y,y < -1), z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3913339/2097152, -3913339/2097152], [-1, -1], [-2602619/
2097152, -2602619/2097152], [0, 0]]]], [[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 = u^2-2, z <
-(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [-1138531/2097152, -569265/
1048576], [-2, -2]]]], [[2, 7, 4, 4, 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], [-1138531/
2097152, -569265/1048576], [-1417877/2097152, -354469/524288]]]], [[2, 7, 4, 4
, 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], [-1138531/2097152, -569265/
1048576], [0, 0]]]], [[2, 7, 4, 4, 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], [-1138531/2097152, -\
569265/1048576], [354469/524288, 708939/1048576]]]], [[2, 7, 4, 4, 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], [-1138531/2097152, -569265/1048576], [2, 2]]]], [[
2, 8, 8, 5, 1], [v = -2^(1/2), u = -1, x = 1, And(1 < y,y < 3), z < -(y-1)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [1, 1], [2
, 2], [-2, -2]]]], [[2, 8, 8, 5, 2], [v = -2^(1/2), u = -1, x = 1, And(1 < y,y
< 3), z = -(y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1, -1], [1, 1], [2, 2], [-1, -1]]]], [[2, 8, 8, 5, 3], [v = -2^(1/2), u = -1
, x = 1, And(1 < y,y < 3), 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, 5, 4], [v = -2^(1/2), u = -1, x = 1, And(1 < y,y < 3), z
= (y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1],
[1, 1], [2, 2], [1, 1]]]], [[2, 8, 8, 5, 5], [v = -2^(1/2), u = -1, x = 1, And
(1 < y,y < 3), (y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1, -1], [1, 1], [2, 2], [2, 2]]]], [[2, 12, 9, 5, 1], [v = -2^(1/2)
, u = 1, 1 < x, And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [2, 2], [3, 3], [-2, -2]]]], [[2, 12
, 9, 5, 2], [v = -2^(1/2), u = 1, 1 < x, And(x < y,y < x+2), z = -(y-x)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [2, 2], [3, 3],
[-1, -1]]]], [[2, 12, 9, 5, 3], [v = -2^(1/2), u = 1, 1 < x, And(x < y,y < x+2
), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [1, 1], [2, 2], [3, 3], [0, 0]]]], [[2, 12, 9, 5, 4], [v = -2
^(1/2), u = 1, 1 < x, And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [1, 1], [2, 2], [3, 3], [1, 1]]]], [[2, 12,
9, 5, 5], [v = -2^(1/2), u = 1, 1 < x, And(x < y,y < x+2), (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [2, 2], [3, 3], [2
, 2]]]], [[2, 14, 3, 7, 1], [v = -2^(1/2), u = -v, And(-1 < x,x < 0), x+1 < y,
z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
741455/524288, 1482911/1048576], [-1/2, -1/2], [2, 2], [-3, -3]]]], [[2, 14, 3
, 7, 2], [v = -2^(1/2), u = -v, And(-1 < x,x < 0), x+1 < y, z = -(y-x)^(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, 7, 3], [v = -2^(1/2), u = -v, And(-1 < x,x < 0), x+1 < y, And(-(y-x)^(1/2
) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288],
[741455/524288, 1482911/1048576], [-1/2, -1/2], [2, 2], [0, 0]]]], [[2, 14, 3,
7, 4], [v = -2^(1/2), u = -v, And(-1 < x,x < 0), x+1 < y, z = (y-x)^(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, 7, 5], [v = -2^(1/2), u = -v, And(-1 < x,x < 0), x+1 < y, (y-x)^(1/2) < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [-1/2, -1/2], [2, 2], [3, 3]]]], [[3, 1, 4, 5, 1], [And(-2^(1/2) < v
,v < -1), u < -(v^2+2)^(1/2), x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (
y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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-1, z = z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3899297/2097152, -7798593/4194304], [1/2, 1/2], [-2, -2],
[0, 0]]]], [[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], [-1196411/1048576, -\
598205/524288], [-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], [-1196411/1048576,
-598205/524288], [-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], [-1196411/1048576, -598205/524288], [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], [-1196411/1048576, -598205/524288], [
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], [-1196411/
1048576, -598205/524288], [2, 2]]]], [[3, 8, 6, 1, 1], [And(-2^(1/2) < v,v < -\
1), u = -(v^2-1)^(1/2), x = 0, y < 0, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [0, 0], [-1, -\
1], [0, 0]]]], [[4, 1, 4, 9, 1], [v = -1, u < -3^(1/2), x = -1, u^2-1 < y, z <
-(y+1)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-1, -1], [9, 9], [-5, -5]
]]], [[4, 1, 4, 9, 2], [v = -1, u < -3^(1/2), x = -1, u^2-1 < y, z = -(y+1)^(1
/2)], [regular_chain, [[-1, -1], [-3, -3], [-1, -1], [9, 9], [-3315889/1048576
, -207243/65536]]]], [[4, 1, 4, 9, 3], [v = -1, u < -3^(1/2), x = -1, u^2-1 <
y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1, -1], [-3, -3]
, [-1, -1], [9, 9], [0, 0]]]], [[4, 1, 4, 9, 4], [v = -1, u < -3^(1/2), x = -1
, u^2-1 < y, z = (y+1)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-1, -1],
[9, 9], [207243/65536, 3315889/1048576]]]], [[4, 1, 4, 9, 5], [v = -1, u < -3^
(1/2), x = -1, u^2-1 < y, (y+1)^(1/2) < z], [regular_chain, [[-1, -1], [-3, -3
], [-1, -1], [9, 9], [5, 5]]]], [[4, 2, 7, 5, 1], [v = -1, u = -3^(1/2), And(0
< x,x < 1), And(0 < y,y < x), 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 = 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 3, 1], [v = -1, u = 0, x = 0, And(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y <
2), 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 = 4, z < -3^(1/2)], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [1, 1], [4, 4], [-\
3, -3]]]], [[4, 14, 8, 6, 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, 6, 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, 6, 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, 6, 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, 2, 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 = z], [regular_chain, [[-1
/2, -1/2], [-3, -3], [-39/4, -39/4], [-35/2, -35/2], [0, 0]]]], [[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, 0 < y,
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, 7, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2
-1, 0 < y, 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, 7, 3], [And(-1 < v,v < 0), And
(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, 0 < y, 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, 7, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u <
v), x = -u^2+v^2-1, 0 < y, 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, 7, 5], [And(-1 < v,v
< 0), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, 0 < y, (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, 6, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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,
4, 8, 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], [-3, -3]]]], [[5,
9, 4, 8, 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], [-19417/
16384, -1242687/1048576]]]], [[5, 9, 4, 8, 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], [0, 0]]]], [[5, 9, 4, 8,
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], [1242687/1048576, 19417/
16384]]]], [[5, 9, 4, 8, 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],
[3, 3]]]], [[5, 10, 9, 2, 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, 7, 9, 1], [v = 0, u < -2^(1/2), And(0 < x,x
< 1), u^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [1/2,
1/2], [12, 12], [-5, -5]]]], [[6, 1, 7, 9, 2], [v = 0, u < -2^(1/2), And(0 < x
,x < 1), u^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [1
/2, 1/2], [12, 12], [-3555895/1048576, -1777947/524288]]]], [[6, 1, 7, 9, 3],
[v = 0, u < -2^(1/2), And(0 < x,x < 1), u^2+x+1 < y, And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[0, 0], [-3, -3], [1/2, 1/2], [12, 12], [0, 0]
]]], [[6, 1, 7, 9, 4], [v = 0, u < -2^(1/2), And(0 < x,x < 1), u^2+x+1 < y, z
= (y-x)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [1/2, 1/2], [12, 12], [
1777947/524288, 3555895/1048576]]]], [[6, 1, 7, 9, 5], [v = 0, u < -2^(1/2), 
And(0 < x,x < 1), u^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[0, 0], [-3,
-3], [1/2, 1/2], [12, 12], [5, 5]]]], [[6, 3, 1, 5, 1], [v = 0, And(-2^(1/2) <
u,u < -1), x < -u^2-1, And(x < y,y < u^2+x+1), z < -(y-x)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-4, -4], [-\
11624291/4194304, -11624291/4194304], [-3, -3]]]], [[6, 3, 1, 5, 2], [v = 0, 
And(-2^(1/2) < u,u < -1), x < -u^2-1, And(x < y,y < u^2+x+1), z = -(y-x)^(1/2)
], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-4, -4], [-\
11624291/4194304, -11624291/4194304], [-1162243/1048576, -581121/524288]]]], [
[6, 3, 1, 5, 3], [v = 0, And(-2^(1/2) < u,u < -1), x < -u^2-1, And(x < y,y < u
^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [-4, -4], [-11624291/4194304, -11624291/
4194304], [0, 0]]]], [[6, 3, 1, 5, 4], [v = 0, And(-2^(1/2) < u,u < -1), x < -
u^2-1, And(x < y,y < u^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [-4, -4], [-11624291/4194304, -11624291/
4194304], [581121/524288, 1162243/1048576]]]], [[6, 3, 1, 5, 5], [v = 0, And(-
2^(1/2) < u,u < -1), x < -u^2-1, And(x < y,y < u^2+x+1), (y-x)^(1/2) < z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-4, -4], [-\
11624291/4194304, -11624291/4194304], [3, 3]]]], [[6, 9, 4, 9, 1], [v = 0, And
(1 < u,u < 2^(1/2)), x = -1, u^2 < y, z < -(y+1)^(1/2)], [regular_chain, [[0,
0], [1265743/1048576, 1265743/1048576], [-1, -1], [3, 3], [-3, -3]]]], [[6, 9,
4, 9, 2], [v = 0, And(1 < u,u < 2^(1/2)), x = -1, u^2 < y, z = -(y+1)^(1/2)],
[regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1, -1], [3, 3],
[-2, -2]]]], [[6, 9, 4, 9, 3], [v = 0, And(1 < u,u < 2^(1/2)), x = -1, u^2 < y
, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [-1, -1], [3, 3], [0, 0]]]], [[6, 9, 4, 9, 4], [v =
0, And(1 < u,u < 2^(1/2)), x = -1, u^2 < y, z = (y+1)^(1/2)], [regular_chain,
[[0, 0], [1265743/1048576, 1265743/1048576], [-1, -1], [3, 3], [2, 2]]]], [[6,
9, 4, 9, 5], [v = 0, And(1 < u,u < 2^(1/2)), x = -1, u^2 < y, (y+1)^(1/2) < z]
, [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1, -1], [3, 3
], [3, 3]]]], [[6, 10, 7, 5, 1], [v = 0, u = 2^(1/2), And(0 < x,x < 1), And(0
< y,y < x), 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 = z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [0, 0], [-2, -2]
, [0, 0]]]], [[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], [-1672995/1048576
, -3345989/2097152], [-3, -3]]]], [[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], [-1672995/1048576, -3345989/2097152], [-19417/16384, -1242687/1048576]]]],
[[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], [-\
1672995/1048576, -3345989/2097152], [0, 0]]]], [[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], [-1672995/1048576, -3345989/2097152], [1242687/1048576, 
19417/16384]]]], [[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], [-1672995/
1048576, -3345989/2097152], [3, 3]]]], [[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(0 < y,y < u^
2+x), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [-1821767/1048576, -1821767/1048576], [773191/2097152, 773191/
2097152], [-3, -3]]]], [[8, 3, 3, 7, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)
), And(-u^2 < x,x < -1), And(0 < y,y < u^2+x), z = -(y-x)^(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, 7, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2))
, And(-u^2 < x,x < -1), And(0 < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-\
1821767/1048576, -1821767/1048576], [773191/2097152, 773191/2097152], [0, 0]]]
], [[8, 3, 3, 7, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x <
-1), And(0 < y,y < u^2+x), z = (y-x)^(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, 7, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), And(0
< y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-6598195/4194304,
-6598195/4194304], [-1821767/1048576, -1821767/1048576], [773191/2097152, 
773191/2097152], [3, 3]]]], [[8, 7, 8, 5, 1], [v = 1, And(-1 < u,u < 0), x = 0
, And(u^2 < y,y < -u^2+2), z < -y^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2
], [0, 0], [1, 1], [-2, -2]]]], [[8, 7, 8, 5, 2], [v = 1, And(-1 < u,u < 0), x
= 0, And(u^2 < y,y < -u^2+2), z = -y^(1/2)], [regular_chain, [[1, 1], [-1/2, -\
1/2], [0, 0], [1, 1], [-1, -1]]]], [[8, 7, 8, 5, 3], [v = 1, And(-1 < u,u < 0)
, x = 0, And(u^2 < y,y < -u^2+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, 5,
4], [v = 1, And(-1 < u,u < 0), x = 0, And(u^2 < y,y < -u^2+2), z = y^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [0, 0], [1, 1], [1, 1]]]], [[8, 7, 8, 5,
5], [v = 1, And(-1 < u,u < 0), x = 0, And(u^2 < y,y < -u^2+2), y^(1/2) < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [0, 0], [1, 1], [2, 2]]]], [[8, 9, 3, 6,
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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 3, 1], [v = 1, 3^(1/2) < u, And
(-1 < x,x < 0), And(x-u^2+2 < y,y < x), z = z], [regular_chain, [[1, 1], [3, 3
], [-1/2, -1/2], [-4, -4], [0, 0]]]], [[9, 1, 7, 4, 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, 6, 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], [384703/262144
, 1538813/1048576], [-3, -3]]]], [[9, 5, 8, 6, 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], [384703/262144, 1538813/1048576], [-1270261/1048576,
-317565/262144]]]], [[9, 5, 8, 6, 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], [384703/262144, 1538813/1048576], [0, 0]]]
], [[9, 5, 8, 6, 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], [
384703/262144, 1538813/1048576], [317565/262144, 1270261/1048576]]]], [[9, 5,
8, 6, 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], [384703/262144, 
1538813/1048576], [3, 3]]]], [[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(x < y,y < u^2-v^2+x+1
), z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-1498947/2097152, -1498947/2097152], [-\
2097153/4194304, -2097153/4194304], [-2, -2]]]], [[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(
x < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/2097152, -\
1498947/2097152], [-2097153/4194304, -2097153/4194304], [-242963/524288, -\
485925/1048576]]]], [[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(x < y,y < u^2-v^2+x+1), And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-1498947/2097152, -1498947/
2097152], [-2097153/4194304, -2097153/4194304], [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(x < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/
2097152, -1498947/2097152], [-2097153/4194304, -2097153/4194304], [485925/
1048576, 242963/524288]]]], [[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(x < y,y < u^2-v^2+x+1
), (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-1498947/2097152, -1498947/2097152], [-\
2097153/4194304, -2097153/4194304], [2, 2]]]], [[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, -2*u^2+
2*v^2 < y, 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, 7, 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, -2*u^2+2*v^2 < y, 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,
7, 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, -2*u^2+2*v^2 < y, 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, 7,
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, -2*u^2+2*v^2 < y, 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, 7, 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, -2*u^2+2*v^
2 < y, (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, 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-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-5390713
/4194304, -5390713/4194304], [149551/524288, 299103/1048576], [-3, -3]]]], [[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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-\
5390713/4194304, -5390713/4194304], [149551/524288, 299103/1048576], [-1314069
/1048576, -328517/262144]]]], [[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-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], [-5390713/4194304
, -5390713/4194304], [149551/524288, 299103/1048576], [0, 0]]]], [[9, 11, 3, 8
, 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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-5390713/4194304
, -5390713/4194304], [149551/524288, 299103/1048576], [328517/262144, 1314069/
1048576]]]], [[9, 11, 3, 8, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-5390713/4194304, -5390713/4194304], [149551/524288, 299103/1048576
], [3, 3]]]], [[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 = 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], [1550541/524288, 3101083/1048576], [
-3, -3]]]], [[9, 15, 8, 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 = 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], [1550541/524288, 3101083/1048576], [
-3301741/2097152, -825435/524288]]]], [[9, 15, 8, 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 = 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], [1550541/524288, 3101083/1048576], [0, 0]]]], [[9, 15, 8, 6, 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], [1550541/524288, 3101083/1048576], [825435/524288, 1650871/
1048576]]]], [[9, 15, 8, 6, 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], [1550541/524288, 3101083/1048576], [
3, 3]]]], [[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(u^2-v^2+x+1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [-10, -10], [-763943/1048576, -\
763943/1048576], [-5, -5]]]], [[9, 17, 1, 7, 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 < 0), z = -(y-x)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10, -10], [-\
763943/1048576, -763943/1048576], [-3192815/1048576, -1596407/524288]]]], [[9,
17, 1, 7, 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 < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[1265743/1048576, 1265743/1048576], [3, 3], [-10, -10], [-763943/1048576, -\
763943/1048576], [0, 0]]]], [[9, 17, 1, 7, 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 < 0), z = (y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10, -10], [-\
763943/1048576, -763943/1048576], [1596407/524288, 3192815/1048576]]]], [[9, 
17, 1, 7, 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 < 0), (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [-10, -10], [-763943/1048576, -763943/1048576], [5,
5]]]], [[10, 5, 9, 1, 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], [-1, -1], [0, 0]]]], [[10, 7,
5, 5, 1], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1), And(u^2+x-\
1 < y,y < 0), z < -(y-x)^(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(u^2+x-1 < y,y < 0), z
= -(y-x)^(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(u^2+x-1 < y,
y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(u^2+x-1 < y,y < 0), z = (y-x)^(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(u^2+x-1 < y,y < 0), (y-x)^(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+3 < y, z < -y^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [0, 0],
[4, 4], [-3, -3]]]], [[10, 11, 6, 7, 2], [v = 2^(1/2), And(0 < u,u < 1), x = 0
, -u^2+3 < y, z = -y^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [1/2, 1/2], [0, 0], [4, 4], [-2, -2]]]], [[10, 11, 6, 7, 3], [v = 2^(1/2), 
And(0 < u,u < 1), x = 0, -u^2+3 < y, 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, 7, 4], [v = 2^(1/2), And(0 < u,u < 1), x = 0, -u^2+3 <
y, z = y^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2]
, [0, 0], [4, 4], [2, 2]]]], [[10, 11, 6, 7, 5], [v = 2^(1/2), And(0 < u,u < 1
), x = 0, -u^2+3 < y, y^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [0, 0], [4, 4], [3, 3]]]], [[10, 13, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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]
]]], [[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(0 < y,y < x), 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], [-66225059/67108864, -33112529/33554432], [-\
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], [-\
66225059/67108864, -33112529/33554432], [-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], [-66225059/67108864, -33112529/33554432], [-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], [-\
66225059/67108864, -33112529/33554432], [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], [-66225059/
67108864, -33112529/33554432], [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 = z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608]
, [533035/2097152, 533035/2097152], [-266519/1048576, -133259/524288], [0, 0]]
]], [[11, 10, 9, 3, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), 1 < x, And(0 < y,y <
x-1), z = z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [
2, 2], [1/2, 1/2], [0, 0]]]], [[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 = -u^2+v^2-1, z < 0], [regular_chain, [[3, 3
], [403851/131072, 403851/131072], [-195745/131072, -1565959/1048576], [-\
195745/131072, -1565959/1048576], [-1, -1]]]], [[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 = -u^2+v^2-1, z = 0], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-195745/131072, -\
1565959/1048576], [-195745/131072, -1565959/1048576], [0, 0]]]], [[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 = -u^2+v^
2-1, 0 < z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-195745
/131072, -1565959/1048576], [-195745/131072, -1565959/1048576], [1, 1]]]], [[
11, 18, 5, 2, 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, 2, 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, 2, 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, 11, 4, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), u^2-v^
2-1 < x, y = x-u^2+v^2+1, z = z], [regular_chain, [[-3, -3], [-5, -5], [16, 16
], [1, 1], [0, 0]]]], [[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 < -(y+1)^(1/2)], [regular_chain, [
[-3, -3], [-3396811/1048576, -3396811/1048576], [-1, -1], [3, 3], [-3, -3]]]],
[[1, 3, 4, 9, 2], [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 = -(y+1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [-1, -1], [3, 3], [-2, -2]]]], [[1, 3, 4, 9, 3], [
v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, u^2-v^2 < y,
And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [-1, -1], [3, 3], [0, 0]]]], [[1, 3, 4, 9, 4], [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
= (y+1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576
], [-1, -1], [3, 3], [2, 2]]]], [[1, 3, 4, 9, 5], [v < -2^(1/2), And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, u^2-v^2 < y, (y+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-1, -1], [3,
3], [3, 3]]]], [[1, 7, 9, 5, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)),
And(0 < x,x < 1), And(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [
1565147/2097152, 1565147/2097152], [-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(x < y,y < u^2-v^2+x+1)
, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [1/2, 1/2], [1565147/2097152, 1565147/2097152], [-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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152],
[1/2, 1/2], [1565147/2097152, 1565147/2097152], [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(x < y,y < u
^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [1/2, 1/2], [1565147/2097152, 1565147/2097152], [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(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [
1565147/2097152, 1565147/2097152], [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 < -(-u^2+v
^2+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608
], [-1, -1], [1581611/1048576, 395403/262144], [-3, -3]]]], [[1, 9, 4, 8, 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], [1581611/1048576, 395403/262144], [-3321417/
2097152, -415177/262144]]]], [[1, 9, 4, 8, 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], [1581611/1048576, 395403/262144], [0, 0]]]], [[1,
9, 4, 8, 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], [1581611/1048576, 395403/262144], [
415177/262144, 1660709/1048576]]]], [[1, 9, 4, 8, 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
], [1581611/1048576, 395403/262144], [3, 3]]]], [[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 < 0),
z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [-3161161/2097152, -395145/262144], [-133001/262144, -133001
/262144], [-3, -3]]]], [[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 < 0), z = -(y-u^2+v^2+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, 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 < 0), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+
v^2+1)^(1/2))], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152],
[-3161161/2097152, -395145/262144], [-133001/262144, -133001/262144], [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 < 0), z = (y-u^2+v^2+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, 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 < 0), (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-3161161/2097152, -395145/262144], [-133001/262144
, -133001/262144], [3, 3]]]], [[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 = x, z < 0], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [
2, 2], [2, 2], [-1, -1]]]], [[1, 20, 9, 6, 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, 6, 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, 3, 2, 1], [v = -2^(1/2), u
< -2, And(-u^2+1 < x,x < -1), y = x-u^2+3, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [-9/2, -9/2], [-21/2, -21/2], [0, 0]]]], [
[2, 11, 1, 1, 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],
[-6, -6], [0, 0]]]], [[2, 12, 4, 3, 1], [v = -2^(1/2), u = 1, x = -1, And(-1 <
y,y < 0), z < -(y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1, 1], [-1, -1], [-1/2, -1/2], [-2, -2]]]], [[2, 12, 4, 3, 2], [v =
-2^(1/2), u = 1, x = -1, And(-1 < y,y < 0), z = -(y+1)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [1, 1], [-1, -1], [-1/2, -1/2], [-1482911
/2097152, -741455/1048576]]]], [[2, 12, 4, 3, 3], [v = -2^(1/2), u = 1, x = -1
, And(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1, -1],
[-1/2, -1/2], [741455/1048576, 46341/65536]]]], [[2, 12, 4, 3, 5], [v = -2^(1/
2), u = 1, x = -1, And(-1 < y,y < 0), (y+1)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [-1, -1], [-1/2, -1/2], [2, 2]]]], [
[2, 16, 9, 7, 1], [v = -2^(1/2), u = 3^(1/2), 1 < x, x+2 < y, z < -(y-x)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 
1816187/1048576], [2, 2], [5, 5], [-3, -3]]]], [[2, 16, 9, 7, 2], [v = -2^(1/2
), u = 3^(1/2), 1 < x, x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [908093/524288, 1816187/1048576], [2, 2], [5, 5], [-\
1816187/1048576, -3632373/2097152]]]], [[2, 16, 9, 7, 3], [v = -2^(1/2), u = 3
^(1/2), 1 < x, x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [2, 2
], [5, 5], [-1/4194304, -1/4194304]]]], [[2, 16, 9, 7, 4], [v = -2^(1/2), u =
3^(1/2), 1 < x, x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [908093/524288, 1816187/1048576], [2, 2], [5, 5], [908093/
524288, 1816187/1048576]]]], [[2, 16, 9, 7, 5], [v = -2^(1/2), u = 3^(1/2), 1
< x, x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [908093/524288, 1816187/1048576], [2, 2], [5, 5], [3, 3]]]], [[2, 18,
3, 5, 1], [v = -2^(1/2), u = 2, And(-3 < x,x < -1), And(x < y,y < 0), z < -(y-
x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^
(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(
x < y,y < 0), (y-x)^(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 = x, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3, -3], [-3, -3], [-1, -1]]]], [[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 = x, z = 0]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3, -3], [-3, -3], [0, 0]]]], [[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 = x, 0 < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3, -3], [-3, -3], [1, 1]]]], [[3, 6, 4, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 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 < x, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-3, -3], [-4, -4], [0, 0]]]], [[3, 12, 4, 3, 1], [And(-2^(1/2) < v,
v < -1), u = -v, x = 0, And(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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
(x-u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [-4, -4], [-8890573/2097152, -\
8890573/2097152], [0, 0]]]], [[3, 16, 3, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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], [-2594959/1048576, -1297479/524288], [-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], [-2594959/1048576, -1297479/524288], [
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], [-2594959/1048576, -1297479/
524288], [1, 1]]]], [[4, 4, 6, 1, 1], [v = -1, u = -2^(1/2), x = 0, y < 0, z =
z], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [0, 0], [-1
, -1], [0, 0]]]], [[4, 11, 3, 2, 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, 2, 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, 2, 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, 1, 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], [-1, -1], [0, 0]]]], [[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 = z], [
regular_chain, [[-1/2, -1/2], [-3, -3], [0, 0], [-9, -9], [0, 0]]]], [[5, 2, 8
, 6, 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, 6, 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, 6, 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
, 6, 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, 6, 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, 13, 1, 5, 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 < -(y-x)^(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(
x < y,y < u^2-v^2+x+1), z = -(y-x)^(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(x < y
,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2-v^2+x
+1), z = (y-x)^(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(x < y,y < u^2-v^2+x+1), (y-x)
^(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 = z],
[regular_chain, [[0, 0], [-3, -3], [-1, -1], [-10, -10], [0, 0]]]], [[6, 5, 4,
6, 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, 6, 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, 6, 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, 6, 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, 6, 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,
7, 1], [v = 0, And(0 < u,u < 1), x < -u^2-1, And(u^2+x+1 < y,y < 0), z < -(y-x
)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [-7/8, -7/8], [-3, -3
]]]], [[6, 7, 1, 7, 2], [v = 0, And(0 < u,u < 1), x < -u^2-1, And(u^2+x+1 < y,
y < 0), z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [-7/
8, -7/8], [-764275/524288, -1528549/1048576]]]], [[6, 7, 1, 7, 3], [v = 0, And
(0 < u,u < 1), x < -u^2-1, And(u^2+x+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y
-x)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [-7/8, -7/8], [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 < 0), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [-7/
8, -7/8], [1528549/1048576, 764275/524288]]]], [[6, 7, 1, 7, 5], [v = 0, And(0
< u,u < 1), x < -u^2-1, And(u^2+x+1 < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [-7/8, -7/8], [3, 3]]]], [[7, 1,
8, 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, 8,
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, 8, 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, 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 = -2*u^2+2*v^2, z = z], [regular_chain, [[1/2, 1/2], [-343151/262144, -\
343151/262144], [-2583195/1048576, -1291597/524288], [-6138473/2097152, -\
24553891/8388608], [0, 0]]]], [[7, 7, 6, 3, 1], [And(0 < v,v < 1), And(-v < u,
u < v), x = -u^2+v^2-1, And(-u^2+v^2-1 < y,y < 0), 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, 3, 2], [And(0 < v,v < 1), And(-v < u,u < v), x = -u^2+v^2-1, And(-u
^2+v^2-1 < y,y < 0), 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, 3, 3], [And(0 < v,v < 1), And(-v < u,u < v), x = -u^2+v^2-1, And(-u^2+
v^2-1 < 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], [-3/8, -3/8], [0, 0]]]], [[7
, 7, 6, 3, 4], [And(0 < v,v < 1), And(-v < u,u < v), x = -u^2+v^2-1, And(-u^2+
v^2-1 < y,y < 0), 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, 3
, 5], [And(0 < v,v < 1), And(-v < u,u < v), x = -u^2+v^2-1, And(-u^2+v^2-1 < y
,y < 0), (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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 < -y^(1/2)], [regular_chain, [[1/2, 1/
2], [343151/262144, 343151/262144], [0, 0], [4, 4], [-3, -3]]]], [[7, 11, 6, 7
, 2], [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 = -y^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/
262144], [0, 0], [4, 4], [-2, -2]]]], [[7, 11, 6, 7, 3], [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, 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, 7, 4], [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 = y^(1/2)], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [0, 0], [4, 4], [2
, 2]]]], [[7, 11, 6, 7, 5], [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, y^(1/2) < z], [regular_chain, [[1/2, 1/2], [
343151/262144, 343151/262144], [0, 0], [4, 4], [3, 3]]]], [[7, 12, 9, 1, 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], [-1, -1], [0, 0]]]], [[8, 3, 8, 3, 1], [v = 1, 
And(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2, And(0 < y,y < u^2-2), z = z], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [248903/524288,
497807/1048576], [248903/1048576, 248903/1048576], [0, 0]]]], [[8, 5, 3, 4, 1]
, [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), y = x-u^2+2, z < -(-
u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576],
[-1288231/1048576, -1288231/1048576], [-359483/524288, -1437931/2097152], [-2,
-2]]]], [[8, 5, 3, 4, 2], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -\
1), y = x-u^2+2, z = -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [-359483/
524288, -1437931/2097152], [-772605/1048576, -1545209/2097152]]]], [[8, 5, 3,
4, 3], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), y = x-u^2+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], [-\
359483/524288, -1437931/2097152], [-1/4194304, -1/4194304]]]], [[8, 5, 3, 4, 4
], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), y = x-u^2+2, z = (-
u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576],
[-1288231/1048576, -1288231/1048576], [-359483/524288, -1437931/2097152], [
193151/262144, 772605/1048576]]]], [[8, 5, 3, 4, 5], [v = 1, And(-2^(1/2) < u,
u < -1), And(-u^2 < x,x < -1), y = x-u^2+2, (-u^2+2)^(1/2) < z], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1288231/
1048576, -1288231/1048576], [-359483/524288, -1437931/2097152], [2, 2]]]], [[8
, 11, 8, 6, 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], [763943/
524288, 1527887/1048576], [-3, -3]]]], [[8, 11, 8, 6, 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], [763943/524288, 1527887/1048576], [-1265743/
1048576, -1265743/1048576]]]], [[8, 11, 8, 6, 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], [763943/524288, 1527887/1048576], [0, 0]]]]
, [[8, 11, 8, 6, 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], [763943/
524288, 1527887/1048576], [1265743/1048576, 1265743/1048576]]]], [[8, 11, 8, 6
, 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], [763943/524288, 1527887/
1048576], [3, 3]]]], [[8, 13, 3, 7, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)),
And(-u^2 < x,x < -1), And(0 < y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain,
[[1, 1], [3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/
2097152], [773191/2097152, 773191/2097152], [-3, -3]]]], [[8, 13, 3, 7, 2], [v
= 1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), And(0 < y,y < u^2+x),
z = -(y-x)^(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, 7, 3], [v = 1, And(2^(1/2) <
u,u < 3^(1/2)), And(-u^2 < x,x < -1), And(0 < y,y < u^2+x), And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [-3643533/2097152, -3643533/2097152], [773191/2097152, 773191/
2097152], [0, 0]]]], [[8, 13, 3, 7, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)),
And(-u^2 < x,x < -1), And(0 < y,y < u^2+x), z = (y-x)^(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, 7, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -\
1), And(0 < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152], [773191/
2097152, 773191/2097152], [3, 3]]]], [[9, 1, 11, 9, 1], [And(1 < v,v < 2^(1/2)
), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [8, 8], [18, 18]
, [-5, -5]]]], [[9, 1, 11, 9, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2),
u^2-v^2-1 < x, u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [8, 8], [18, 18], [-3315889/1048576, -\
207243/65536]]]], [[9, 1, 11, 9, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/
2), u^2-v^2-1 < x, u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [8, 8], [18, 18]
, [0, 0]]]], [[9, 1, 11, 9, 4], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), u
^2-v^2-1 < x, u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [8, 8], [18, 18], [207243/65536, 3315889/
1048576]]]], [[9, 1, 11, 9, 5], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), u
^2-v^2-1 < x, u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [8, 8], [18, 18], [5, 5]]]], [[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 < x-u^2+v^2+1, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1/2, -1/2], [-2, -\
2], [0, 0]]]], [[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 = 0, z = z], [regular_chain, [[1265743/1048576,
1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [0, 0], [0,
0]]]], [[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 = z], [regular_chain, [[1265743/1048576
, 1265743/1048576], [898327/524288, 898327/524288], [-1, -1], [-3, -3], [0, 0]
]]], [[10, 2, 1, 3, 1], [v = 2^(1/2), u = -2, x < -3, And(x-1 < y,y < x), z =
z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-4, -4], [-9
/2, -9/2], [0, 0]]]], [[10, 3, 5, 4, 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, 4, 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, 4, 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,
3, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), And(0 < y,y < u
^2+x-1), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/
2], [7/8, 7/8], [1/16, 1/16], [0, 0]]]], [[10, 11, 2, 2, 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, 7, 2, 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, 2, 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, 2
, 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, 2, 1, 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], [-4, -4], [0, 0]]]], [[10, 19, 3, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 7, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-\
1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [
[3, 3], [-5, -5], [-1/2, -1/2], [33/4, 33/4], [-4, -4]]]], [[11, 1, 5, 7, 2],
[2^(1/2) < v, u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1
), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-1/2, -1/2], [33/4,
33/4], [-49627675/16777216, -24813837/8388608]]]], [[11, 1, 5, 7, 3], [2^(1/2)
< v, u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), And(-(
y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-5, -5], [-1/2, -1
/2], [33/4, 33/4], [-5/16777216, -5/16777216]]]], [[11, 1, 5, 7, 4], [2^(1/2)
< v, u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), z = (y
-x)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-1/2, -1/2], [33/4, 33/4], [
3101729/1048576, 1550865/524288]]]], [[11, 1, 5, 7, 5], [2^(1/2) < v, u < -(v^
2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-5, -5], [-1/2, -1/2], [33/4, 33/4], [4, 4]]]], [[11,
5, 6, 7, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, 2*u^
2-2*v^2 < y, z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [-531193/1048576, -1062385/2097152], [2, 2], [-3, -3]
]]], [[11, 5, 6, 7, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-
v^2-1, 2*u^2-2*v^2 < y, z = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-531193/1048576, -1062385/2097152], [2, 2], [
-3320253/2097152, -830063/524288]]]], [[11, 5, 6, 7, 3], [2^(1/2) < v, And(-(v
^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, 2*u^2-2*v^2 < y, And(-(y-u^2+v^2+1)^(1
/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [-531193/1048576, -1062385/2097152], [2, 2], [0, 0]]]], [[11,
5, 6, 7, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, 2*u^
2-2*v^2 < y, z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [-531193/1048576, -1062385/2097152], [2, 2], [830063/
524288, 1660127/1048576]]]], [[11, 5, 6, 7, 5], [2^(1/2) < v, And(-(v^2+1)^(1/
2) < u,u < -v), x = u^2-v^2-1, 2*u^2-2*v^2 < y, (y-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-531193/1048576, -\
1062385/2097152], [2, 2], [3, 3]]]], [[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 = 0, z < -(-x)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-657289/524288,
-657289/524288], [0, 0], [-3, -3]]]], [[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 = 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, 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
= 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, 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 = 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, 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 = 0, (-x)^(1/2) < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-657289/524288,
-657289/524288], [0, 0], [3, 3]]]], [[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, 0 < y, z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-4, -4], [1, 1], [-\
4, -4]]]], [[11, 13, 1, 9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [-4, -4], [1, 1], [-146543/65536, -2344687/
1048576]]]], [[11, 13, 1, 9, 3], [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, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-4, -4], [1, 1], [0
, 0]]]], [[11, 13, 1, 9, 4], [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 = (y-x)^(1/2)], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [-4, -4], [1, 1], [2344687/1048576, 146543/
65536]]]], [[11, 13, 1, 9, 5], [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, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [-4, -4], [1, 1], [4, 4]]]], [[11, 14, 4, 7,
1], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -1, 1 < y, z < -(y+1)^(1/2)], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1, -1], [2, 2], [-\
3, -3]]]], [[11, 14, 4, 7, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -1, 1 < y,
z = -(y+1)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576],
[-1, -1], [2, 2], [-1816187/1048576, -3632373/2097152]]]], [[11, 14, 4, 7, 3],
[2^(1/2) < v, u = (v^2-1)^(1/2), x = -1, 1 < y, And(-(y+1)^(1/2) < z,z < (y+1)
^(1/2))], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1, -1],
[2, 2], [-1/4194304, -1/4194304]]]], [[11, 14, 4, 7, 4], [2^(1/2) < v, u = (v^
2-1)^(1/2), x = -1, 1 < y, z = (y+1)^(1/2)], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [-1, -1], [2, 2], [908093/524288, 1816187/1048576]]]
], [[11, 14, 4, 7, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -1, 1 < y, (y+1)^(
1/2) < z], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1, -1]
, [2, 2], [3, 3]]]], [[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 = u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-4, -4], [-394777
/262144, -3158215/2097152], [-3, -3]]]], [[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 = u^2-v^2+x+1, z = -(
u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576]
, [-4, -4], [-394777/262144, -3158215/2097152], [-1655969/1048576, -3311937/
2097152]]]], [[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 = u^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], [-394777/262144, -3158215/2097152], [-1/4194304, -1/4194304]]]], [[
11, 19, 1, 6, 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], [-394777/262144, -3158215/
2097152], [51749/32768, 1655969/1048576]]]], [[11, 19, 1, 6, 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], [-394777/262144, -3158215/2097152], [3, 3]]]], [[11, 20, 3
, 7, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+
3), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/
524288], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[11, 20, 3, 7, 2], [2^(1/2) < v,
u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), z = -(y-x)^(1/2)],
[regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-2, -2], [1/2, 1/
2], [-3315889/2097152, -207243/131072]]]], [[11, 20, 3, 7, 3], [2^(1/2) < v, u
= (v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), And(-(y-x)^(1/2) < z,
z < (y-x)^(1/2))], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288],
[-2, -2], [1/2, 1/2], [0, 0]]]], [[11, 20, 3, 7, 4], [2^(1/2) < v, u = (v^2+2)
^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-2, -2], [1/2, 1/2
], [207243/131072, 1657945/1048576]]]], [[11, 20, 3, 7, 5], [2^(1/2) < v, u =
(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-2, -2], [1/2, 1/2
], [3, 3]]]], [[1, 2, 1, 2, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), x < -3, y =
x-1, z = z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [
-4, -4], [-5, -5], [0, 0]]]], [[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(x-u^2+v^2+1 < y,y < x), z
= z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-1/2,
-1/2], [-100263691/134217728, -100263691/134217728], [0, 0]]]], [[1, 7, 10, 1,
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], [-1, -\
1], [0, 0]]]], [[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 < -(y+1)^(1/2)], [regular_chain, [[-3, -\
3], [-22960369/8388608, -22960369/8388608], [-1, -1], [3, 3], [-3, -3]]]], [[1
, 9, 4, 9, 2], [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 = -(y+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [-1, -1], [3, 3], [-2, -2]]]], [[1, 9, 4, 9, 3],
[v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, -u^2+v^2 <
y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [-1, -1], [3, 3], [0, 0]]]], [[1, 9, 4,
9, 4], [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 = (y+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [-1, -1], [3, 3], [2, 2]]]], [[1, 9, 4, 9, 5], [v < -2^(1/2
), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, -u^2+v^2 < y, (y+1)^(1/
2) < z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-\
1, -1], [3, 3], [3, 3]]]], [[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(u^2-v^2+x+1 < y,y < 0), z < -(y-x)
^(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(u^2-v^2+x+1 < y,y < 0), z = -(y-x)^(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(u^2-v^2+x+1 < y,y < 0), And(-(y-x)^(1/2) < z,z
< (y-x)^(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(u^2-v^2+x+1 < y,y < 0), z = (y-x)^
(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(u^2-v^2+x+1 < y,y < 0), (y-x)^(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, 2 < y, z < -(y-1)^(1/2)], [
regular_chain, [[-3, -3], [3, 3], [1, 1], [3, 3], [-3, -3]]]], [[1, 16, 6, 7,
2], [v < -2^(1/2), u = -v, x = 1, 2 < y, z = -(y-1)^(1/2)], [regular_chain, [[
-3, -3], [3, 3], [1, 1], [3, 3], [-1482911/1048576, -741455/524288]]]], [[1, 
16, 6, 7, 3], [v < -2^(1/2), u = -v, x = 1, 2 < y, 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, 7, 4], [v < -2^(1/2), u = -v, x = 1, 2 < y, z = (y-1)^(1/2)], [
regular_chain, [[-3, -3], [3, 3], [1, 1], [3, 3], [741455/524288, 1482911/
1048576]]]], [[1, 16, 6, 7, 5], [v < -2^(1/2), u = -v, x = 1, 2 < y, (y-1)^(1/
2) < z], [regular_chain, [[-3, -3], [3, 3], [1, 1], [3, 3], [3, 3]]]], [[1, 21
, 1, 2, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = x-u^2+v^2+1,
z = z], [regular_chain, [[-3, -3], [5, 5], [-18, -18], [-33, -33], [0, 0]]]],
[[2, 1, 3, 3, 1], [v = -2^(1/2), u < -2, And(-u^2+1 < x,x < -1), And(x-u^2+3 <
y,y < x), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3
], [-9/2, -9/2], [-15/2, -15/2], [0, 0]]]], [[2, 10, 9, 9, 1], [v = -2^(1/2),
u = 0, 1 < x, x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [0, 0], [2, 2], [6, 6], [-3, -3]]]], [[2, 10, 9, 9, 2], [v =
-2^(1/2), u = 0, 1 < x, x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [0, 0], [2, 2], [6, 6], [-2, -2]]]], [[2, 10, 9, 9,
3], [v = -2^(1/2), u = 0, 1 < x, x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2)
)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [2, 2], [6, 6
], [0, 0]]]], [[2, 10, 9, 9, 4], [v = -2^(1/2), u = 0, 1 < x, x+3 < y, z = (y-
x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [2, 2]
, [6, 6], [2, 2]]]], [[2, 10, 9, 9, 5], [v = -2^(1/2), u = 0, 1 < x, x+3 < y,
(y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0],
[2, 2], [6, 6], [3, 3]]]], [[2, 12, 3, 5, 1], [v = -2^(1/2), u = 1, And(-2 < x
,x < -1), And(0 < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [-3/2, -3/2], [1/4, 1/4], [-3, -3]]]], [[2,
12, 3, 5, 2], [v = -2^(1/2), u = 1, And(-2 < x,x < -1), And(0 < y,y < x+2), z
= -(y-x)^(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, 5, 3
], [v = -2^(1/2), u = 1, And(-2 < x,x < -1), And(0 < y,y < x+2), And(-(y-x)^(1
/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288]
, [1, 1], [-3/2, -3/2], [1/4, 1/4], [0, 0]]]], [[2, 12, 3, 5, 4], [v = -2^(1/2
), u = 1, And(-2 < x,x < -1), And(0 < y,y < x+2), z = (y-x)^(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, 5, 5], [v = -2^(1/2), u
= 1, And(-2 < x,x < -1), And(0 < y,y < x+2), (y-x)^(1/2) < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [1, 1], [-3/2, -3/2], [1/4, 1/4], [3, 3]]
]], [[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 < 0), z < -(y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [2, 2], [-3, -3], [-3/2, -3/2], [-3, -3]]]], [[2, 18, 2, 5, 2], [v = -2^(1/2
), u = 2, x = -3, And(-3 < y,y < 0), z = -(y+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [-3, -3], [-3/2, -3/2], [-1284239/
1048576, -642119/524288]]]], [[2, 18, 2, 5, 3], [v = -2^(1/2), u = 2, x = -3,
And(-3 < y,y < 0), And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [-3, -3], [-3/2, -3/2], [0, 0]]]], [
[2, 18, 2, 5, 4], [v = -2^(1/2), u = 2, x = -3, And(-3 < y,y < 0), z = (y+3)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-3, -3],
[-3/2, -3/2], [642119/524288, 1284239/1048576]]]], [[2, 18, 2, 5, 5], [v = -2^
(1/2), u = 2, x = -3, And(-3 < y,y < 0), (y+3)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [-3, -3], [-3/2, -3/2], [3, 3]]]], [
[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 < x, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [-4, -4], [0, 0]]]],
[[3, 6, 3, 6, 1], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 0), y = x+1
, 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,
6, 2], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 0), y = x+1, 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, 6, 3], [
And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 0), y = x+1, 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, 6, 4], [And(
-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 0), y = x+1, 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, 6, 5], [And(
-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 0), y = x+1, 1 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-1/2, -1/2], [1/2, 1/2], [2, 2]]]], [[3, 10, 9, 5, 1], [And
(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), 1 < x, And(x < y,y < x+2), z < -(y-x
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/
524288, 708939/1048576], [2, 2], [3, 3], [-2, -2]]]], [[3, 10, 9, 5, 2], [And(
-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), 1 < x, And(x < y,y < x+2), z = -(y-x)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288
, 708939/1048576], [2, 2], [3, 3], [-1, -1]]]], [[3, 10, 9, 5, 3], [And(-2^(1/
2) < v,v < -1), u = (v^2-1)^(1/2), 1 < x, And(x < y,y < x+2), And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[354469/524288, 708939/1048576], [2, 2], [3, 3], [0, 0]]]], [[3, 10, 9, 5, 4],
[And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), 1 < x, And(x < y,y < x+2), z = (
y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/
524288, 708939/1048576], [2, 2], [3, 3], [1, 1]]]], [[3, 10, 9, 5, 5], [And(-2
^(1/2) < v,v < -1), u = (v^2-1)^(1/2), 1 < x, And(x < y,y < x+2), (y-x)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 
708939/1048576], [2, 2], [3, 3], [2, 2]]]], [[3, 12, 3, 3, 1], [And(-2^(1/2) <
v,v < -1), u = -v, And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(
y-x)^(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, 3, 3], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 0), And(x < y,
y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [And(-2^(1/2) < v,v < -1), u = -v,
And(-1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [And(-2^(1/2) < v,v < -\
1), u = -v, And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(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 = 0, z < -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [-4, -4], [0, 0], [-3, -3]]]], [[3,
15, 1, 8, 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, 8, 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, 8, 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, 8, 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, 9, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-3 < x,x < -1),
x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [-2, -2], [2, 2], [-3, -3]]]], [[3,
16, 3, 9, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-3 < x,x < -1)
, x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [-2, -2], [2, 2], [-2, -2]]]], [[3,
16, 3, 9, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-3 < x,x < -1)
, x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-2, -2], [2, 2],
[0, 0]]]], [[3, 16, 3, 9, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), 
And(-3 < x,x < -1), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-2, -2], [2, 2],
[2, 2]]]], [[3, 16, 3, 9, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), 
And(-3 < x,x < -1), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-2, -2], [2, 2],
[3, 3]]]], [[4, 3, 3, 4, 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, 4, 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, 4, 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, 6, 4, 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, 4, 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, 4, 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, 4
, 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, 4, 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, 7, 1], [v = -1, And(1 < u,u < 2^(1/2)), And
(-u^2 < x,x < -1), And(0 < y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[
-1, -1], [1265743/1048576, 1265743/1048576], [-1288231/1048576, -1288231/
1048576], [239655/2097152, 239655/2097152], [-3, -3]]]], [[4, 11, 3, 7, 2], [v
= -1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), And(0 < y,y < u^2+x), z =
-(y-x)^(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, 7, 3], [v = -1, And(1 < u,u <
2^(1/2)), And(-u^2 < x,x < -1), And(0 < y,y < u^2+x), And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576],
[-1288231/1048576, -1288231/1048576], [239655/2097152, 239655/2097152], [0, 0]
]]], [[4, 11, 3, 7, 4], [v = -1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1),
And(0 < y,y < u^2+x), z = (y-x)^(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, 7,
5], [v = -1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), And(0 < y,y < u^2+x
), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-1288231/1048576, -1288231/1048576], [239655/2097152, 239655/
2097152], [3, 3]]]], [[4, 12, 7, 2, 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, 7, 1, 1], [And(-1 < v,v < 0), u < -(v^2
+2)^(1/2), And(0 < x,x < 1), y < x-u^2+v^2+1, z = z], [regular_chain, [[-1/2,
-1/2], [-3, -3], [1/2, 1/2], [-9, -9], [0, 0]]]], [[5, 2, 9, 2, 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, 13, 1, 2, 1], [And(-1 < v,v
< 0), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = x-u^2+v^2+1, z = z], [
regular_chain, [[-1/2, -1/2], [3, 3], [-11, -11], [-75/4, -75/4], [0, 0]]]], [
[6, 1, 3, 3, 1], [v = 0, u < -2^(1/2), And(-u^2-1 < x,x < -1), And(x-u^2+1 < y
,y < x), z = z], [regular_chain, [[0, 0], [-3, -3], [-11/2, -11/2], [-19/2, -\
19/2], [0, 0]]]], [[6, 5, 4, 5, 1], [v = 0, And(-1 < u,u < 0), x = -1, And(-u^
2 < y,y < 0), z < -(y+1)^(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(-u^2 < y,y < 0), z = -(y+1)^(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(-u^2 < y,y < 0), And(-(y+1)^(
1/2) < z,z < (y+1)^(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(-u^2 < y,y < 0), z = (y+1)^(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(-u^2 < y,y < 0), (y+1)^(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 = x, z < 0], [
regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [-3, -3], [-1, -1]]]], [[6, 7, 1
, 2, 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, 2, 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, 3, 1], [And(0 < v,v < 1), 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], [-3, -3], [1, 1], [-27/8, -27/8], [0, 0]]]], [[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 = x, z
< 0], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-4, -4],
[-4, -4], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[1/2,
1/2], [-343151/262144, -343151/262144], [-4, -4], [-4, -4], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[1/2, 1/2], [-343151/262144, -\
343151/262144], [-4, -4], [-4, -4], [1, 1]]]], [[7, 7, 6, 2, 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, 2, 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, 2, 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, 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 < x, z = z], [regular_chain,
[[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-2521309/2097152, -2521309/
2097152], [-3, -3], [0, 0]]]], [[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(x-u^2+v^2+1 < 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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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], [248903/
524288, 497807/1048576], [-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], [248903/
524288, 497807/1048576], [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], [248903/
524288, 497807/1048576], [1, 1]]]], [[8, 5, 3, 9, 1], [v = 1, And(-2^(1/2) < u
,u < -1), And(-u^2 < x,x < -1), u^2+x < y, z < -(y-x)^(1/2)], [regular_chain,
[[1, 1], [-1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231/
1048576], [2, 2], [-3, -3]]]], [[8, 5, 3, 9, 2], [v = 1, And(-2^(1/2) < u,u <
-1), And(-u^2 < x,x < -1), u^2+x < y, z = -(y-x)^(1/2)], [regular_chain, [[1,
1], [-1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576]
, [2, 2], [-7536399/4194304, -3768199/2097152]]]], [[8, 5, 3, 9, 3], [v = 1, 
And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), u^2+x < y, And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-1288231/1048576, -1288231/1048576], [2, 2], [-1/4194304, -1/
4194304]]]], [[8, 5, 3, 9, 4], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,
x < -1), u^2+x < y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [2, 2], [
1884099/1048576, 471025/262144]]]], [[8, 5, 3, 9, 5], [v = 1, And(-2^(1/2) < u
,u < -1), And(-u^2 < x,x < -1), u^2+x < y, (y-x)^(1/2) < z], [regular_chain, [
[1, 1], [-1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231/
1048576], [2, 2], [3, 3]]]], [[8, 11, 9, 2, 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, 4, 5, 1], [v = 1, 
And(2^(1/2) < u,u < 3^(1/2)), x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y <
0), z = (y+1)^(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(-1 < y,y < 0), (y+1
)^(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 < x-1, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-4, -4], [-6, -6], [0
, 0]]]], [[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 = 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, 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 = 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, 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 = 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, 6, 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, 6, 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, 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], [139585/262144, 558341/
1048576], [-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], [139585/262144, 558341/1048576], [-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], [139585/262144, 558341/1048576], [-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],
[139585/262144, 558341/1048576], [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], [139585/262144, 558341/
1048576], [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 <
-(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [-3647693/2097152, -3647693/2097152], [2, 2], [-3, -3]
]]], [[9, 15, 3, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-v^2+x+1 < y, And(
-(y-x)^(1/2) < z,z < (y-x)^(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, 9, 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), u^
2-v^2+x+1 < y, z = (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [-3647693/2097152, -3647693/
2097152], [2, 2], [3, 3]]]], [[10, 1, 11, 5, 1], [v = 2^(1/2), u < -2, u^2-3 <
x, And(x-u^2+3 < y,y < x), 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 < x-u^2+3, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[10, 9, 8, 5, 1], [v = 2^(1/2),
And(-1 < u,u < 0), x = -u^2+1, And(-u^2+1 < y,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], [17/8, 17/8], [-3, -3]]]], [[10, 9, 8, 5, 2], [v = 2^(1/2), And(-1 < u,u
< 0), x = -u^2+1, And(-u^2+1 < y,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], [
17/8, 17/8], [-1229565/1048576, -307391/262144]]]], [[10, 9, 8, 5, 3], [v = 2^
(1/2), And(-1 < u,u < 0), x = -u^2+1, And(-u^2+1 < 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], [-1/2, -1/2], [3/4, 3/4], [17/8, 17/8], [0, 0]]]], [[10, 9, 8, 5, 4
], [v = 2^(1/2), And(-1 < u,u < 0), x = -u^2+1, And(-u^2+1 < y,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], [17/8, 17/8], [307391/262144, 1229565/1048576]]]], [[10,
9, 8, 5, 5], [v = 2^(1/2), And(-1 < u,u < 0), x = -u^2+1, And(-u^2+1 < y,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], [17/8, 17/8], [3, 3]]]], [[10, 11, 2, 1, 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],
[-5, -5], [0, 0]]]], [[10, 15, 6, 2, 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], [-\
1101541/2097152, -275385/524288], [-1, -1]]]], [[10, 15, 6, 2, 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], [-1101541/2097152, -275385/524288], [0, 0]]]], [[10
, 15, 6, 2, 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], [-1101541/2097152, -\
275385/524288], [1, 1]]]], [[10, 17, 1, 7, 1], [v = 2^(1/2), And(3^(1/2) < u,u
< 2), x < -u^2+1, And(u^2+x-1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-4, -4]
, [-3183369/4194304, -3183369/4194304], [-3, -3]]]], [[10, 17, 1, 7, 2], [v =
2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, And(u^2+x-1 < y,y < 0), z = -(y-x
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152,
3913339/2097152], [-4, -4], [-3183369/4194304, -3183369/4194304], [-7550943/
4194304, -3775471/2097152]]]], [[10, 17, 1, 7, 3], [v = 2^(1/2), And(3^(1/2) <
u,u < 2), x < -u^2+1, And(u^2+x-1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [-4, -4], [-3183369/4194304, -3183369/4194304], [-1/4194304,
-1/4194304]]]], [[10, 17, 1, 7, 4], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x <
-u^2+1, And(u^2+x-1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-4, -4], [-\
3183369/4194304, -3183369/4194304], [1887735/1048576, 235967/131072]]]], [[10,
17, 1, 7, 5], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, And(u^2+x-1 <
y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[3913339/2097152, 3913339/2097152], [-4, -4], [-3183369/4194304, -3183369/
4194304], [3, 3]]]], [[10, 19, 3, 9, 1], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,x
< -1), u^2+x-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [-9/2, -9/2], [5, 5], [-5, -5]]]], [[10, 19, 3, 9, 2
], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), u^2+x-1 < y, z = -(y-x)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9/2, -9/2], [5,
5], [-3231929/1048576, -403991/131072]]]], [[10, 19, 3, 9, 3], [v = 2^(1/2), 2
< u, And(-u^2+1 < x,x < -1), u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2)
)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9/2, -9/2], [
5, 5], [0, 0]]]], [[10, 19, 3, 9, 4], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,x <
-1), u^2+x-1 < y, z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [-9/2, -9/2], [5, 5], [403991/131072, 3231929/1048576]]]], [
[10, 19, 3, 9, 5], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), u^2+x-1 < y, (
y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-\
9/2, -9/2], [5, 5], [5, 5]]]], [[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 = z], [regular_chain, [[3, 3], [-5,
-5], [0, 0], [-15/2, -15/2], [0, 0]]]], [[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(x < y,y < 0), z < -(y
-x)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-\
1062385/4194304, -1062385/4194304], [-66399/524288, -66399/524288], [-2, -2]]]
], [[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(x < y,y < 0), z = -(y-x)^(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,
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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3,
3], [-403851/131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [-\
66399/524288, -66399/524288], [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(x < y,y < 0), z = (y
-x)^(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, 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(x < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1062385/4194304, -\
1062385/4194304], [-66399/524288, -66399/524288], [2, 2]]]], [[11, 7, 4, 4, 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], [-2, -2]]]], [[11, 7, 4, 4, 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], [-735979/1048576, -1471957/
2097152]]]], [[11, 7, 4, 4, 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], [-1/4194304, -1/4194304]]]], [[11, 7, 4, 4,
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], [367989/524288, 735979/1048576
]]]], [[11, 7, 4, 4, 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], [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 < 2*u^2-2*v^2, z = z], [regular_chain, [[3, 3], [1435023
/524288, 1435023/524288], [-5260377/2097152, -657547/262144], [-5, -5], [0, 0]
]]], [[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+2), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [741455/262144
, 2965821/1048576], [-1/2, -1/2], [3/4, 3/4], [-3, -3]]]], [[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+2), z = -(
y-x)^(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, 5, 3],
[2^(1/2) < v, u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), And(-(
y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [741455/262144, 
2965821/1048576], [-1/2, -1/2], [3/4, 3/4], [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+2), z = (y-x)
^(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, 5, 5], [2^(1
/2) < v, u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), (y-x)^(1/2)
< z], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1/2, -1/2],
[3/4, 3/4], [3, 3]]]], [[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, 0 < y, z < -(y-x)^(1/2)], [regular_chain,
[[3, 3], [3396811/1048576, 3396811/1048576], [-4, -4], [1, 1], [-4, -4]]]], [[
11, 19, 1, 9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[3, 3], [3396811/
1048576, 3396811/1048576], [-4, -4], [1, 1], [-146543/65536, -2344687/1048576]
]]], [[11, 19, 1, 9, 3], [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, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-4, -4], [1, 1],
[0, 0]]]], [[11, 19, 1, 9, 4], [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 = (y-x)^(1/2)], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [-4, -4], [1, 1], [2344687/1048576, 146543/
65536]]]], [[11, 19, 1, 9, 5], [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, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [-4, -4], [1, 1], [4, 4]]]], [[11, 20, 4, 5
, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -1, And(-1 < y,y < 0), z < -(y+1)^(
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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0)
, z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1062385/4194304,
-1062385/4194304], [3, 3], [-3, -3]]]], [[1, 5, 7, 9, 2], [v < -2^(1/2), And(-
(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), u^2-v^2+x+1 < y, z = -(y-x
)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-\
1062385/4194304, -1062385/4194304], [3, 3], [-7565219/4194304, -3782609/
2097152]]]], [[1, 5, 7, 9, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), 
And(u^2-v^2-1 < x,x < 0), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1062385/
4194304, -1062385/4194304], [3, 3], [-1/4194304, -1/4194304]]]], [[1, 5, 7, 9,
4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), u^
2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-1062385/4194304, -1062385/4194304], [3, 3], [236413/131072,
1891305/1048576]]]], [[1, 5, 7, 9, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u
< v), And(u^2-v^2-1 < x,x < 0), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1062385/4194304,
-1062385/4194304], [3, 3], [3, 3]]]], [[1, 7, 4, 6, 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,
6, 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, 6, 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, 6, 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, 6, 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, 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 = 0, z < -(-x)^(1/2
)], [regular_chain, [[-3, -3], [0, 0], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[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 = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-1/2,
-1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[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 = 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, 6, 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, 6, 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, 7, 1], [v < -2^(1/2),
u = (v^2-2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [1/2, 1/2], [2, 2], [
-3, -3]]]], [[1, 12, 7, 7, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), And(0 < x,x <
1), And(x < y,y < x+3), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [2774271
/1048576, 10837/4096], [1/2, 1/2], [2, 2], [-1284239/1048576, -642119/524288]]
]], [[1, 12, 7, 7, 3], [v < -2^(1/2), u = (v^2-2)^(1/2), And(0 < x,x < 1), And
(x < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3,
-3], [2774271/1048576, 10837/4096], [1/2, 1/2], [2, 2], [0, 0]]]], [[1, 12, 7,
7, 4], [v < -2^(1/2), u = (v^2-2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3),
z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [1
/2, 1/2], [2, 2], [642119/524288, 1284239/1048576]]]], [[1, 12, 7, 7, 5], [v <
-2^(1/2), u = (v^2-2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), (y-x)^(1/2)
< z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [1/2, 1/2], [2
, 2], [3, 3]]]], [[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 = 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, 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 = 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, 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 = 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, 6,
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, 6, 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, 7, 1], [v < -2^(1/2),
u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 2), z < -(y+1)^(1/2)], [regular_chain
, [[-3, -3], [3477733/1048576, 1738867/524288], [-1, -1], [1, 1], [-3, -3]]]],
[[1, 20, 4, 7, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 2),
z = -(y+1)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288
], [-1, -1], [1, 1], [-1482911/1048576, -741455/524288]]]], [[1, 20, 4, 7, 3],
[v < -2^(1/2), u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 2), And(-(y+1)^(1/2) <
z,z < (y+1)^(1/2))], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [-1, -1], [1, 1], [0, 0]]]], [[1, 20, 4, 7, 4], [v < -2^(1/2), u = (v
^2+2)^(1/2), x = -1, And(0 < y,y < 2), z = (y+1)^(1/2)], [regular_chain, [[-3,
-3], [3477733/1048576, 1738867/524288], [-1, -1], [1, 1], [741455/524288, 
1482911/1048576]]]], [[1, 20, 4, 7, 5], [v < -2^(1/2), u = (v^2+2)^(1/2), x =
-1, And(0 < y,y < 2), (y+1)^(1/2) < z], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [-1, -1], [1, 1], [3, 3]]]], [[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-1 < y, z < -
(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [-3651195/2097152, -3651195/2097152], [2, 2], [-3,
-3]]]], [[2, 3, 3, 9, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1
< x,x < -1), u^2+x-1 < y, z = -(y-x)^(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, 9, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x <
-1), u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1)
, u^2+x-1 < y, z = (y-x)^(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, 9, 5], [v = -2
^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), u^2+x-1 < y, (y-x)^(
1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [-3651195/2097152, -3651195/2097152], [2, 2], [3,
3]]]], [[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 = x, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [-\
1527887/2097152, -1527887/2097152], [-1, -1]]]], [[2, 7, 5, 2, 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], [-1527887/2097152, -1527887/2097152], [0,
0]]]], [[2, 7, 5, 2, 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], [-\
1527887/2097152, -1527887/2097152], [1, 1]]]], [[2, 8, 9, 1, 1], [v = -2^(1/2)
, u = -1, 1 < x, y < 0, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1, -1], [2, 2], [-1, -1], [0, 0]]]], [[2, 13, 1, 3, 1], [v = -2^(1/
2), And(1 < u,u < -v), x < u^2-3, And(x < y,y < u^2+x-1), z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-3, -3], [-11624291/4194304, -11624291/4194304], [-2, -2]]]], [[2,
13, 1, 3, 2], [v = -2^(1/2), And(1 < u,u < -v), x < u^2-3, And(x < y,y < u^2+x
-1), z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-3, -3], [-11624291/4194304, -11624291/
4194304], [-31331/65536, -501295/1048576]]]], [[2, 13, 1, 3, 3], [v = -2^(1/2)
, And(1 < u,u < -v), x < u^2-3, And(x < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743
/1048576, 1265743/1048576], [-3, -3], [-11624291/4194304, -11624291/4194304],
[0, 0]]]], [[2, 13, 1, 3, 4], [v = -2^(1/2), And(1 < u,u < -v), x < u^2-3, And
(x < y,y < u^2+x-1), z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-3, -3], [-11624291/
4194304, -11624291/4194304], [501295/1048576, 31331/65536]]]], [[2, 13, 1, 3,
5], [v = -2^(1/2), And(1 < u,u < -v), x < u^2-3, And(x < y,y < u^2+x-1), (y-x)
^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [-3, -3], [-11624291/4194304, -11624291/4194304], [
2, 2]]]], [[2, 14, 4, 1, 1], [v = -2^(1/2), u = -v, x = 0, y < 0, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [0, 0], [-1, -1], [0, 0]]]], [[3, 1, 5, 3, 1], [And(-2^(1/2) < v,v <
-1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(x-u^2+v^2+1 < y,y < x), z = z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1/2, -1/2
], [-7909297/2097152, -7909297/2097152], [0, 0]]]], [[3, 2, 7, 4, 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, 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 =
x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [-1347679/
1048576, -673839/524288], [-1, -1]]]], [[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 = x, z = 0],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2695357/2097152, -2695357/2097152], [-1347679/1048576, -\
673839/524288], [0, 0]]]], [[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 = x, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2695357/2097152, -2695357/2097152], [-1347679/1048576, -\
673839/524288], [1, 1]]]], [[3, 8, 6, 2, 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, 2, 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, 2, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5,
1], [v = -1, u = -3^(1/2), x = 0, And(0 < y,y < 3), z < -y^(1/2)], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [0, 0], [3/2,
3/2], [-3, -3]]]], [[4, 2, 6, 5, 2], [v = -1, u = -3^(1/2), x = 0, And(0 < y,y
< 3), 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
, 5, 3], [v = -1, u = -3^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 4], [v = -1, u = -3^(1/2), x = 0, 
And(0 < y,y < 3), 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, 5, 5], [v = -1, u = -3^(1/2), x = 0, And(0 < y,y < 3), y^(1/2) < z],
[regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [0, 0], [3/2,
3/2], [3, 3]]]], [[4, 7, 2, 5, 1], [v = -1, And(-1 < u,u < 0), x = u^2-2, And(
2*u^2-2 < y,y < 0), z < -(y-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -\
1/2], [-7/4, -7/4], [-3/4, -3/4], [-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 < 0), z = -(y-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-7/4, -7/4], [-3/4, -3/4], [-1, -1]]]
], [[4, 7, 2, 5, 3], [v = -1, And(-1 < u,u < 0), x = u^2-2, And(2*u^2-2 < y,y
< 0), And(-(y-u^2+2)^(1/2) < z,z < (y-u^2+2)^(1/2))], [regular_chain, [[-1, -1
], [-1/2, -1/2], [-7/4, -7/4], [-3/4, -3/4], [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 < 0), z = (y-u^2+2)^(1/2)]
, [regular_chain, [[-1, -1], [-1/2, -1/2], [-7/4, -7/4], [-3/4, -3/4], [1, 1]]
]], [[4, 7, 2, 5, 5], [v = -1, And(-1 < u,u < 0), x = u^2-2, And(2*u^2-2 < y,y
< 0), (y-u^2+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, 5, 1], [v = -1, u = 0, And(-1 < x,x <
0), And(0 < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [0, 0],
[-1/2, -1/2], [3/4, 3/4], [-3, -3]]]], [[4, 8, 5, 5, 2], [v = -1, u = 0, And(-\
1 < x,x < 0), And(0 < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[-1, -1]
, [0, 0], [-1/2, -1/2], [3/4, 3/4], [-146543/131072, -1172343/1048576]]]], [[4
, 8, 5, 5, 3], [v = -1, u = 0, And(-1 < x,x < 0), And(0 < y,y < x+2), And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2
], [3/4, 3/4], [0, 0]]]], [[4, 8, 5, 5, 4], [v = -1, u = 0, And(-1 < x,x < 0),
And(0 < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-1/2
, -1/2], [3/4, 3/4], [1172343/1048576, 146543/131072]]]], [[4, 8, 5, 5, 5], [v
= -1, u = 0, And(-1 < x,x < 0), And(0 < y,y < x+2), (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2], [3/4, 3/4], [3, 3]]]], [[4, 14
, 8, 3, 1], [v = -1, u = 3^(1/2), x = 1, And(0 < y,y < 1), z = z], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [1, 1], [1/2, 1/2]
, [0, 0]]]], [[5, 1, 1, 4, 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, 4, 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, 4, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 6, 1, 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], [-1, -1], [0, 0]]]], [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2,
-1/2], [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152
], [-212079/1048576, -106039/524288], [-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 = x-u^2+
v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [-212079/
1048576, -106039/524288], [-1618333/2097152, -3236665/4194304]]]], [[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 = x-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], [-1672995/
2097152, -1672995/2097152], [-212079/1048576, -106039/524288], [-1/8388608, -1
/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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1672995/
2097152, -1672995/2097152], [-212079/1048576, -106039/524288], [404583/524288,
809167/1048576]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z]
, [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1672995
/2097152, -1672995/2097152], [-212079/1048576, -106039/524288], [2, 2]]]], [[5
, 10, 9, 3, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), 1 < x, And(0 < y,y < x)
, z = z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [2,
2], [1, 1], [0, 0]]]], [[6, 1, 8, 7, 1], [v = 0, u < -2^(1/2), x = 1, And(1 <
y,y < u^2+2), z < -(y-1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [1, 1], [6
, 6], [-4, -4]]]], [[6, 1, 8, 7, 2], [v = 0, u < -2^(1/2), x = 1, And(1 < y,y
< u^2+2), z = -(y-1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [1, 1], [6, 6]
, [-146543/65536, -2344687/1048576]]]], [[6, 1, 8, 7, 3], [v = 0, u < -2^(1/2)
, x = 1, And(1 < y,y < u^2+2), 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, 7, 4],
[v = 0, u < -2^(1/2), x = 1, And(1 < y,y < u^2+2), z = (y-1)^(1/2)], [
regular_chain, [[0, 0], [-3, -3], [1, 1], [6, 6], [2344687/1048576, 146543/
65536]]]], [[6, 1, 8, 7, 5], [v = 0, u < -2^(1/2), x = 1, And(1 < y,y < u^2+2)
, (y-1)^(1/2) < z], [regular_chain, [[0, 0], [-3, -3], [1, 1], [6, 6], [4, 4]]
]], [[6, 3, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 9, 5, 5, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(-1 < x,x < 0), And(x < y,y
< 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y
,y < 0), (y-x)^(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 = x, z < 0], [regular_chain, [[0, 0], [741455/
524288, 1482911/1048576], [1/2, 1/2], [1/2, 1/2], [-1, -1]]]], [[6, 10, 7, 6,
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, 6, 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, 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 < x-u^2+v^2+1, z = z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [243021/1048576,
243021/1048576], [-2, -2], [0, 0]]]], [[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, 0 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [1
, 1], [-3, -3]]]], [[7, 5, 1, 9, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u
,u < -v), x < -u^2+v^2-1, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2
], [-1696631/2097152, -1696631/2097152], [-3, -3], [1, 1], [-2, -2]]]], [[7, 5
, 1, 9, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1,
0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-3, -3], [1, 1], [0, 0]]]], [[7, 5, 1, 9,
4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, 0 < y,
z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-3, -3], [1, 1], [2, 2]]]], [[7, 5, 1, 9, 5], [And(0 < v,v < 1), 
And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [1
, 1], [3, 3]]]], [[8, 1, 9, 8, 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, 8, 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, 8, 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, 8, 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, 8
, 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, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = 1, And(-1 < u,u < 0), And(
-u^2 < x,x < 0), And(u^2+x < y,y < x-u^2+2), z < -(y-x)^(1/2)], [regular_chain
, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [7/8, 7/8], [-2, -2]]]], [[8, 7, 7, 7,
2], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), And(u^2+x < y,y < x-u^2+2)
, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [7/8
, 7/8], [-1, -1]]]], [[8, 7, 7, 7, 3], [v = 1, And(-1 < u,u < 0), And(-u^2 < x
,x < 0), And(u^2+x < y,y < x-u^2+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [7/8, 7/8], [0, 0]]]], [[8
, 7, 7, 7, 4], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), And(u^2+x < y,y
< x-u^2+2), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1
/8], [7/8, 7/8], [1, 1]]]], [[8, 7, 7, 7, 5], [v = 1, And(-1 < u,u < 0), And(-
u^2 < x,x < 0), And(u^2+x < y,y < x-u^2+2), (y-x)^(1/2) < z], [regular_chain,
[[1, 1], [-1/2, -1/2], [-1/8, -1/8], [7/8, 7/8], [2, 2]]]], [[8, 9, 3, 3, 1],
[v = 1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), And(x < y,y < u^2+x), z < -(y
-x)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-11/8, -11/8], [-5/4, -5/4],
[-2, -2]]]], [[8, 9, 3, 3, 2], [v = 1, And(0 < u,u < 1), And(u^2-2 < x,x < -1)
, And(x < y,y < u^2+x), z = -(y-x)^(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
, 3, 3], [v = 1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), And(x < y,y < u^2+x)
, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2],
[-11/8, -11/8], [-5/4, -5/4], [0, 0]]]], [[8, 9, 3, 3, 4], [v = 1, And(0 < u,u
< 1), And(u^2-2 < x,x < -1), And(x < y,y < u^2+x), z = (y-x)^(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, 3, 5], [v = 1, And(0 < u,u < 1), And(u^2
-2 < x,x < -1), And(x < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[1, 1
], [1/2, 1/2], [-11/8, -11/8], [-5/4, -5/4], [2, 2]]]], [[8, 15, 4, 7, 1], [v
= 1, 3^(1/2) < u, x = -1, And(0 < y,y < u^2-1), z < -(y+1)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [-1, -1], [4, 4], [-4, -4]]]], [[8, 15, 4, 7,
2], [v = 1, 3^(1/2) < u, x = -1, And(0 < y,y < u^2-1), z = -(y+1)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [-1, -1], [4, 4], [-146543/65536, -2344687/
1048576]]]], [[8, 15, 4, 7, 3], [v = 1, 3^(1/2) < u, x = -1, And(0 < y,y < u^2
-1), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1, 1], [3, 3],
[-1, -1], [4, 4], [0, 0]]]], [[8, 15, 4, 7, 4], [v = 1, 3^(1/2) < u, x = -1, 
And(0 < y,y < u^2-1), z = (y+1)^(1/2)], [regular_chain, [[1, 1], [3, 3], [-1,
-1], [4, 4], [2344687/1048576, 146543/65536]]]], [[8, 15, 4, 7, 5], [v = 1, 3^
(1/2) < u, x = -1, And(0 < y,y < u^2-1), (y+1)^(1/2) < z], [regular_chain, [[1
, 1], [3, 3], [-1, -1], [4, 4], [4, 4]]]], [[9, 1, 7, 3, 1], [And(1 < v,v < 2^
(1/2)), u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(x-u^2+v^2+1 < y,y < 0), z =
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1/2, 1/2],
[-6336433/2097152, -6336433/2097152], [0, 0]]]], [[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 = 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], [1259643/1048576, 314911/262144], [-3, -3]]]], [[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 = 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], [1259643/1048576, 314911/262144], [-1270261/1048576
, -317565/262144]]]], [[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 = u^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], [1259643/1048576, 314911/262144], [0, 0]]]], [[9, 5, 7, 8, 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], [1259643/1048576, 314911/262144], [317565/262144, 1270261/
1048576]]]], [[9, 5, 7, 8, 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], [1259643/1048576, 314911
/262144], [3, 3]]]], [[9, 7, 4, 9, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u <
-(v^2-1)^(1/2)), x = -1, -u^2+v^2 < y, z < -(y+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1,
-1], [2, 2], [-3, -3]]]], [[9, 7, 4, 9, 2], [And(1 < v,v < 2^(1/2)), And(-v <
u,u < -(v^2-1)^(1/2)), x = -1, -u^2+v^2 < y, z = -(y+1)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [
-1, -1], [2, 2], [-1816187/1048576, -3632373/2097152]]]], [[9, 7, 4, 9, 3], [
And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -1, -u^2+v^2 < y,
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], [-1/
4194304, -1/4194304]]]], [[9, 7, 4, 9, 4], [And(1 < v,v < 2^(1/2)), And(-v < u
,u < -(v^2-1)^(1/2)), x = -1, -u^2+v^2 < y, z = (y+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1
, -1], [2, 2], [908093/524288, 1816187/1048576]]]], [[9, 7, 4, 9, 5], [And(1 <
v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -1, -u^2+v^2 < y, (y+1)^(1
/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-1, -1], [2, 2], [3, 3]]]], [[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(0 < y,y < u^2-v^2+x+1), z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152], [35579/
262144, 35579/262144], [0, 0]]]], [[9, 11, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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, 2*u^2-2*v^2 < y,
z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [898327/524288, 898327/524288], [501965/1048576, 250983/524288], [4, 4], [-3
, -3]]]], [[9, 15, 8, 7, 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, 2*u^2-2*v^2 < y, z = -(y-u^2+v^2+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, 7, 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, 2*u^2-2*v^2 < y, And(-(y-u^2+v^2+1)^(1/2)
< z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [501965/1048576, 250983/524288], [4,
4], [0, 0]]]], [[9, 15, 8, 7, 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, 2*u^2-2*v^2 < y, z = (y-u^2+v^2+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, 7, 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, 2*u^2-2*v^2 < y, (y-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [501965/1048576, 250983/524288], [4, 4], [3, 3]]]], [[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(-2*u^2+2*v^2
< y,y < -u^2+v^2-1), z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [-4478937/524288, -8957873/1048576], [-6194117/524288, -\
6194117/524288], [0, 0]]]], [[10, 5, 9, 4, 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, 4, 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, 4, 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, 3,
1], [v = 2^(1/2), And(-v < u,u < -1), x = -u^2+1, And(-u^2+1 < y,y < 0), 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, 3, 2], [v = 2^(1/2), And(-
v < u,u < -1), x = -u^2+1, And(-u^2+1 < y,y < 0), 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, 3, 3], [v = 2^(1/2), And(-v
< u,u < -1), x = -u^2+1, And(-u^2+1 < 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], [-239655/
1048576, -239655/1048576], [0, 0]]]], [[10, 7, 6, 3, 4], [v = 2^(1/2), And(-v
< u,u < -1), x = -u^2+1, And(-u^2+1 < y,y < 0), 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, 3, 5], [v = 2^(1/2), And(-v <
u,u < -1), x = -u^2+1, And(-u^2+1 < y,y < 0), (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, 7, 1, 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], [-2, -2], [0, 0]]]], [[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], [-1138531/1048576, -569265/
524288], [-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], [-1138531/1048576, -569265/524288], [-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], [-1138531/1048576, -569265/524288], [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], [-\
1138531/1048576, -569265/524288], [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], [-1138531/1048576, -\
569265/524288], [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 < -y^(1/2)], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [0, 0], [653799/
524288, 653799/524288], [-3, -3]]]], [[11, 3, 6, 5, 2], [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 = -y^(1
/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [0, 0], [
653799/524288, 653799/524288], [-1170947/1048576, -585473/524288]]]], [[11, 3,
6, 5, 3], [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), 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, 5, 4], [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 = y^(1/2)], [regular_chain, [[3
, 3], [-3396811/1048576, -3396811/1048576], [0, 0], [653799/524288, 653799/
524288], [585473/524288, 1170947/1048576]]]], [[11, 3, 6, 5, 5], [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), y
^(1/2) < z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [0
, 0], [653799/524288, 653799/524288], [3, 3]]]], [[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 < -u^2+v^2-1, z = z], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-195745/131072, -\
1565959/1048576], [-3, -3], [0, 0]]]], [[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 = 0, z = z], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [2, 2], [0, 0],
[0, 0]]]], [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3]
, [403851/131072, 403851/131072], [-3, -3], [-326817/131072, -2614535/1048576]
, [-2, -2]]]], [[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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3
, 3], [403851/131072, 403851/131072], [-3, -3], [-326817/131072, -2614535/
1048576], [-373161/524288, -1492643/2097152]]]], [[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 = x-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], [-3, -3], [-326817/131072, -2614535/1048576], [-1/
4194304, -1/4194304]]]], [[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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-3, -3], [-326817/
131072, -2614535/1048576], [746321/1048576, 373161/524288]]]], [[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 = x-u^2+v^2+
1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-3, -3], [-326817/131072, -2614535/1048576], [2, 2]]]], [[11, 18, 4,
6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 2, 1, 1, 1],
[v < -2^(1/2), u = -(v^2+2)^(1/2), x < -3, y < x-1, z = z], [regular_chain, [[
-3, -3], [-1738867/524288, -3477733/1048576], [-4, -4], [-6, -6], [0, 0]]]], [
[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 = x-u^2+v^2+1, z = z], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [-1/2, -1/2], [-133418519/134217728, -\
66709259/67108864], [0, 0]]]], [[1, 7, 10, 2, 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, 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 = z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[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 = 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], [-3192025/4194304, -399003/524288]
, [-2, -2]]]], [[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 = 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], [-3192025/4194304, -399003/524288], [-735979/1048576, -\
1471957/2097152]]]], [[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 = u^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], [-3192025/4194304, -399003/524288]
, [-1/4194304, -1/4194304]]]], [[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 = 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], [-3192025/4194304, -399003/524288], [367989/
524288, 735979/1048576]]]], [[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 = 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], [-3192025/4194304, -399003/524288], [2, 2]]]], [[1, 
16, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 21, 1, 3, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x < -u^
2+v^2-1, And(x-u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[-3, -3], [5, 5]
, [-18, -18], [-51/2, -51/2], [0, 0]]]], [[2, 1, 3, 4, 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,
4, 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, 4, 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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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 < x+2), z < -(y-x)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 
1816187/1048576], [2, 2], [3, 3], [-2, -2]]]], [[2, 16, 9, 5, 2], [v = -2^(1/2
), u = 3^(1/2), 1 < x, And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [2, 2],
[3, 3], [-1, -1]]]], [[2, 16, 9, 5, 3], [v = -2^(1/2), u = 3^(1/2), 1 < x, And
(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [2, 2], [3
, 3], [0, 0]]]], [[2, 16, 9, 5, 4], [v = -2^(1/2), u = 3^(1/2), 1 < x, And(x <
y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [908093/524288, 1816187/1048576], [2, 2], [3, 3], [1, 1]]]], [[2, 16,
9, 5, 5], [v = -2^(1/2), u = 3^(1/2), 1 < x, And(x < y,y < x+2), (y-x)^(1/2) <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 
1816187/1048576], [2, 2], [3, 3], [2, 2]]]], [[2, 18, 2, 6, 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, 6, 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, 6, 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, 6,
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, 6, 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, 9, 7, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2
+1)^(1/2), 1 < x, x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [2, 2], [5, 5]
, [-3, -3]]]], [[3, 4, 9, 7, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2)
, 1 < x, x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-410915/262144, -3287319/2097152], [2, 2], [5, 5], [-\
1816187/1048576, -3632373/2097152]]]], [[3, 4, 9, 7, 3], [And(-2^(1/2) < v,v <
-1), u = -(v^2+1)^(1/2), 1 < x, x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[3, 4, 9, 7, 4
], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), 1 < x, x+2 < y, z = (y-x)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144,
-3287319/2097152], [2, 2], [5, 5], [908093/524288, 1816187/1048576]]]], [[3, 4
, 9, 7, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), 1 < x, x+2 < y, (y-
x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915
/262144, -3287319/2097152], [2, 2], [5, 5], [3, 3]]]], [[3, 6, 3, 5, 1], [And(
-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 0), And(0 < y,y < x+1), z < -(y-x)
^(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+1)
, z = -(y-x)^(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, 5, 3], [And(-2^(1/2) < v,v < -1), u
= v, And(-1 < x,x < 0), And(0 < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 5, 4], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 0), And(0 < y
,y < x+1), z = (y-x)^(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, 5, 5], [And(-2^(1/2) < v,v < -1)
, u = v, And(-1 < x,x < 0), And(0 < y,y < x+1), (y-x)^(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 = 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, 6, 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, 6, 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, 6, 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, 6, 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, 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, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [-4, -4], [1, 1], [-4, -4]]]], [[3,
15, 1, 9, 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, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [-4, -4], [1, 1],
[-146543/65536, -2344687/1048576]]]], [[3, 15, 1, 9, 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, 0 < y, And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [-4, -4], [1, 1], [0, 0]]]], [[3, 15
, 1, 9, 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, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [898327/524288, 898327/524288], [-4, -4], [1, 1], [
2344687/1048576, 146543/65536]]]], [[3, 15, 1, 9, 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, 0 < y, (y-x)^(1/2
) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288,
898327/524288], [-4, -4], [1, 1], [4, 4]]]], [[3, 16, 4, 1, 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],
[-3, -3], [0, 0]]]], [[4, 3, 3, 3, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2))
, And(-u^2 < x,x < -1), And(x-u^2+2 < y,y < x), z = z], [regular_chain, [[-1,
-1], [-6598195/4194304, -6598195/4194304], [-1821767/1048576, -1821767/1048576
], [-1035335/524288, -1035335/524288], [0, 0]]]], [[4, 4, 6, 3, 1], [v = -1, u
= -2^(1/2), x = 0, And(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2),
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(0 < y,y < 2), 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(0 < y,y < 2), 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 = u^2+x
, z < -u], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-\
1288231/1048576, -1288231/1048576], [239655/1048576, 29957/131072], [-3, -3]]]
], [[4, 11, 3, 8, 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], [239655/1048576, 29957/131072], [-\
1265743/1048576, -1265743/1048576]]]], [[4, 11, 3, 8, 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], [239655/1048576, 29957/131072], [0, 0]]]], [[4, 11
, 3, 8, 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], [239655/1048576, 29957/131072], [1265743/
1048576, 1265743/1048576]]]], [[4, 11, 3, 8, 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], [
239655/1048576, 29957/131072], [3, 3]]]], [[4, 12, 7, 3, 1], [v = -1, u = 2^(1
/2), And(0 < x,x < 1), And(0 < y,y < x), z = z], [regular_chain, [[-1, -1], [
741455/524288, 1482911/1048576], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[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 < -y^(1
/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [0, 0], [11, 11], [-5, -5]]]],
[[5, 1, 6, 7, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = 0, u^2-v^2+1 < y
, z = -y^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [0, 0], [11, 11], [-\
1738867/524288, -3477733/1048576]]]], [[5, 1, 6, 7, 3], [And(-1 < v,v < 0), u
< -(v^2+2)^(1/2), x = 0, u^2-v^2+1 < y, 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
, 7, 4], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = 0, u^2-v^2+1 < y, z = y^(
1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [0, 0], [11, 11], [3477733/
1048576, 1738867/524288]]]], [[5, 1, 6, 7, 5], [And(-1 < v,v < 0), u < -(v^2+2
)^(1/2), x = 0, u^2-v^2+1 < y, y^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-\
3, -3], [0, 0], [11, 11], [5, 5]]]], [[5, 2, 9, 1, 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], [-1, -1], [0, 0]]]], [[5, 13, 1, 3, 1], [And(-1 < v,v < 0), (v^2+
2)^(1/2) < u, x < -u^2+v^2-1, And(x-u^2+v^2+1 < y,y < x), z = z], [
regular_chain, [[-1/2, -1/2], [3, 3], [-11, -11], [-119/8, -119/8], [0, 0]]]],
[[6, 1, 3, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 1, 1], [v = 0, And(0 < u,u
< 1), x < -u^2-1, y < x, z = z], [regular_chain, [[0, 0], [1/2, 1/2], [-3, -3]
, [-4, -4], [0, 0]]]], [[7, 1, 8, 4, 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, 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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(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(x < y,
y < u^2-v^2+x+1), z = -(y-x)^(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(x < y,y < u^2-v^2+x+
1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2-v^2+x+1), z = (y-x)^(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(x < y,y < u^2-v^2+x+1), (y-x)^(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 < -u^2+v^2-1, z = z], [regular_chain, [[1/2, 1/2], [0,
0], [-3/4, -3/4], [-2, -2], [0, 0]]]], [[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, 0 < y, 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, 7, 2], [And(0 < v,v
< 1), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, 0 < y, 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, 7, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -u^2
+v^2-1, 0 < y, 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, 7,
4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, 0 < y, 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, 7, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^
(1/2)), x = -u^2+v^2-1, 0 < y, (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, 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 = x-u^2+v^2+1, z = z], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [243021/1048576, 
243021/1048576], [-121511/524288, -243021/1048576], [0, 0]]]], [[7, 12, 9, 7,
1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), 1 < x, And(x < y,y < x+3), z < -(y-x
)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [2, 2], [7/2, 7/2], [-3, -3
]]]], [[7, 12, 9, 7, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), 1 < x, And(x <
y,y < x+3), z = -(y-x)^(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, 7, 3], [And(0
< v,v < 1), u = (v^2+2)^(1/2), 1 < x, And(x < y,y < x+3), And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [2, 2], [7/2, 7/2
], [0, 0]]]], [[7, 12, 9, 7, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), 1 < x,
And(x < y,y < x+3), z = (y-x)^(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, 7, 5], [
And(0 < v,v < 1), u = (v^2+2)^(1/2), 1 < x, And(x < y,y < x+3), (y-x)^(1/2) <
z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [2, 2], [7/2, 7/2], [3, 3]]]], [[
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 < 2*u^2-2), z < -(y-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [248903/524288, 497807/1048576], [3590571/2097152,
3590571/2097152], [-3, -3]]]], [[8, 3, 8, 5, 2], [v = 1, And(-3^(1/2) < u,u <
-2^(1/2)), x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), z = -(y-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [248903/524288,
497807/1048576], [3590571/2097152, 3590571/2097152], [-145801/131072, -1166407
/1048576]]]], [[8, 3, 8, 5, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = u^
2-2, And(u^2-2 < y,y < 2*u^2-2), And(-(y-u^2+2)^(1/2) < z,z < (y-u^2+2)^(1/2))
], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [248903/
524288, 497807/1048576], [3590571/2097152, 3590571/2097152], [0, 0]]]], [[8, 3
, 8, 5, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2, And(u^2-2 < y,y
< 2*u^2-2), z = (y-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304,
-6598195/4194304], [248903/524288, 497807/1048576], [3590571/2097152, 3590571/
2097152], [1166407/1048576, 145801/131072]]]], [[8, 3, 8, 5, 5], [v = 1, And(-
3^(1/2) < u,u < -2^(1/2)), x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), (y-u^2+2)^(1
/2) < z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [
248903/524288, 497807/1048576], [3590571/2097152, 3590571/2097152], [3, 3]]]],
[[8, 5, 4, 1, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = -1, y < -1, z = z], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1, -1], [-2, -\
2], [0, 0]]]], [[8, 11, 9, 1, 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], [-1, -1], [0, 0]]]], [[8, 13, 4, 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, 4
, 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, 4, 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]]]], [[9, 2, 1, 2, 1], [And(1 < v,v < 2^(1/2)), u = -
(v^2+2)^(1/2), x < -3, y = x-1, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-4, -4], [-5, -5], [0
, 0]]]], [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608,
-14373233/8388608], [-1/2, -1/2], [2074829/2097152, 2074829/2097152], [-3, -3]
]]], [[9, 3, 5, 7, 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 < u^2-v^2+x+1), z = -(y-x)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1/2, -1/2], [2074829/2097152, 2074829/2097152], [-639837/
524288, -1279673/1048576]]]], [[9, 3, 5, 7, 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 < u^2-v^
2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1/2, -1/2
], [2074829/2097152, 2074829/2097152], [0, 0]]]], [[9, 3, 5, 7, 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 < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1/2, -1/2
], [2074829/2097152, 2074829/2097152], [1279673/1048576, 639837/524288]]]], [[
9, 3, 5, 7, 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 < u^2-v^2+x+1), (y-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1/2, -1/2], [2074829/2097152, 2074829/2097152], [3, 3]]]]
, [[9, 13, 8, 3, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x
= 0, And(0 < y,y < -u^2+v^2+1), 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, 3, 2], [And(1 < v,v < 2^(1/2
)), And(v < u,u < (v^2+1)^(1/2)), x = 0, And(0 < y,y < -u^2+v^2+1), 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, 3, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (
v^2+1)^(1/2)), x = 0, And(0 < 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], [139585/524288, 139585/524288], [0, 0]]]], [[9, 13,
8, 3, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 0, And(0
< y,y < -u^2+v^2+1), 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, 3, 5], [And(1 < v,v <
2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 0, And(0 < y,y < -u^2+v^2+1), 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, 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 < -(u^2-v^2+1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-3647693/2097152, -3647693/2097152], [387635/524288, 775271/1048576]
, [-3, -3]]]], [[9, 15, 3, 8, 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], [387635/524288,
775271/1048576], [-3301741/2097152, -825435/524288]]]], [[9, 15, 3, 8, 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], [387635/524288, 775271/
1048576], [0, 0]]]], [[9, 15, 3, 8, 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], [387635/
524288, 775271/1048576], [825435/524288, 1650871/1048576]]]], [[9, 15, 3, 8, 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], [387635/524288, 775271/1048576], [3, 3]]]], [[10,
1, 11, 6, 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, 6, 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, 6, 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, 5, 2, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), y =
x-u^2+3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [-1/2, -1/2], [-32952163/33554432, -16476081/
16777216], [0, 0]]]], [[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, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1/2, 1/2], [-4, -4], [1, 1], [-4, -4]]]], [[10, 11, 1, 9, 2
], [v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-4, -4], [1, 1]
, [-146543/65536, -2344687/1048576]]]], [[10, 11, 1, 9, 3], [v = 2^(1/2), And(
0 < u,u < 1), x < u^2-3, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-4, -4], [1, 1]
, [0, 0]]]], [[10, 11, 1, 9, 4], [v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, 0
< y, z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2
, 1/2], [-4, -4], [1, 1], [2344687/1048576, 146543/65536]]]], [[10, 11, 1, 9,
5], [v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-4, -4], [1, 1]
, [4, 4]]]], [[10, 15, 6, 3, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = u^2
-3, And(u^2-3 < y,y < 0), z < -(y-u^2+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, 3, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = u^2-3, And(u^2-3 <
y,y < 0), z = -(y-u^2+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, 3, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = u^2-3, And
(u^2-3 < y,y < 0), And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+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, 3, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)),
x = u^2-3, And(u^2-3 < y,y < 0), z = (y-u^2+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, 3, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)),
x = u^2-3, And(u^2-3 < y,y < 0), (y-u^2+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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 1, 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], [-8, -8],
[0, 0]]]], [[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 = x, z < 0], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1062385/4194304, -\
1062385/4194304], [-265597/1048576, -66399/262144], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-\
1062385/4194304, -1062385/4194304], [-265597/1048576, -66399/262144], [0, 0]]]
], [[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 = x, 0 < z], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [-1062385/4194304, -1062385/4194304], [-265597/1048576, -66399
/262144], [1, 1]]]], [[11, 7, 4, 3, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^
(1/2)), x = -1, And(-1 < y,y < u^2-v^2), z < -(y+1)^(1/2)], [regular_chain, [[
3, 3], [-6111549/2097152, -6111549/2097152], [-1, -1], [-3161161/4194304, -\
3161161/4194304], [-2, -2]]]], [[11, 7, 4, 3, 2], [2^(1/2) < v, And(-v < u,u <
-(v^2-1)^(1/2)), x = -1, And(-1 < y,y < u^2-v^2), z = -(y+1)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-1, -1], [-\
3161161/4194304, -3161161/4194304], [-16263/32768, -520415/1048576]]]], [[11,
7, 4, 3, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, And(-1 < y,
y < u^2-v^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[3, 3],
[-6111549/2097152, -6111549/2097152], [-1, -1], [-3161161/4194304, -3161161/
4194304], [0, 0]]]], [[11, 7, 4, 3, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^
(1/2)), x = -1, And(-1 < y,y < u^2-v^2), z = (y+1)^(1/2)], [regular_chain, [[3
, 3], [-6111549/2097152, -6111549/2097152], [-1, -1], [-3161161/4194304, -\
3161161/4194304], [520415/1048576, 16263/32768]]]], [[11, 7, 4, 3, 5], [2^(1/2
) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, And(-1 < y,y < u^2-v^2), (y+1)^
(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-1
, -1], [-3161161/4194304, -3161161/4194304], [2, 2]]]], [[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 = 2*u^2
-2*v^2, z = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-\
5260377/2097152, -657547/262144], [-3163225/1048576, -395403/131072], [0, 0]]]
], [[11, 14, 5, 6, 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, 6, 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, 6, 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, 6, 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,
6, 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, 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 = 0, z < -(-x)^(1/2)], [regular_chain, [
[3, 3], [3396811/1048576, 3396811/1048576], [-4, -4], [0, 0], [-3, -3]]]], [[
11, 19, 1, 8, 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, 8, 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, 8, 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, 8, 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,
4, 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, 4, 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, 4, 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, 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 = 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], [1300363/1048576, 325091/262144], [-3, -3
]]]], [[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 = 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
], [1300363/1048576, 325091/262144], [-1281417/1048576, -160177/131072]]]], [[
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 = u^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], [1300363/1048576, 325091/262144], [0, 0]]]], [[1, 5, 7, 8
, 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], [1300363/
1048576, 325091/262144], [160177/131072, 1281417/1048576]]]], [[1, 5, 7, 8, 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], [1300363/
1048576, 325091/262144], [3, 3]]]], [[1, 7, 4, 5, 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 < -(y+1)^(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(u^2-v^2 < y,y < 0), z = -(y+1)^(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(u^2-v
^2 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(u^2-v^2 < y,y < 0), z = (y+1)^(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(u^2-v^2 < y,y
< 0), (y+1)^(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(0 < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3]
, [0, 0], [-1/2, -1/2], [19/4, 19/4], [-4, -4]]]], [[1, 11, 5, 7, 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-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-1/2
, -1/2], [19/4, 19/4], [-1201295/524288, -2402589/1048576]]]], [[1, 11, 5, 7,
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-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-3, -3], [0, 0], [-1/2, -1/2], [19/4, 19/4], [0, 0]]]], [[1,
11, 5, 7, 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-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[-3
, -3], [0, 0], [-1/2, -1/2], [19/4, 19/4], [2402589/1048576, 1201295/524288]]]
], [[1, 11, 5, 7, 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-u^2+v^2+1), (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [0, 0], [-1/2, -1/2], [19/4, 19/4], [4, 4]]]], [[1,
12, 7, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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 < 0), 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, 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^2-1 < y,y < 0), 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, 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^2-1 < 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], [3396811/
1048576, 3396811/1048576], [-2615197/1048576, -653799/262144], [-653799/524288
, -653799/524288], [0, 0]]]], [[1, 19, 2, 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^2-1 < y,y < 0), 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, 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^2-1 < y,y < 0)
, (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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 4, 1, 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], [-3, -3], [0,
0]]]], [[2, 4, 7, 5, 1], [v = -2^(1/2), u = -3^(1/2), And(0 < x,x < 1), And(x
< y,y < x+2), z < -(y-x)^(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, 5, 2], [v = -2^(1/2), u = -3^(1/2), And(0 < x,x < 1), And(x <
y,y < x+2), z = -(y-x)^(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, 5, 3], [v = -2^(1/2), u = -3^(1/2), And(0 < x,x < 1), And(x <
y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 5, 4], [v = -2^(1/2), u = -3^(1/2), And(0 < x
,x < 1), And(x < y,y < x+2), z = (y-x)^(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, 5, 5], [v = -2^(1/2), u = -3^(1/2), And(0 < x,
x < 1), And(x < y,y < x+2), (y-x)^(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, 1, 1], [v = -2^(1/2), And(v < u,u < -1), And(-\
1 < x,x < -u^2+1), y < x, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/
2097152], [-2, -2], [0, 0]]]], [[2, 8, 8, 7, 1], [v = -2^(1/2), u = -1, x = 1,
3 < y, z < -(y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1, -1], [1, 1], [4, 4], [-3, -3]]]], [[2, 8, 8, 7, 2], [v = -2^(1/2), u = -1
, x = 1, 3 < y, z = -(y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [-1, -1], [1, 1], [4, 4], [-1816187/1048576, -3632373/2097152]]]], [
[2, 8, 8, 7, 3], [v = -2^(1/2), u = -1, x = 1, 3 < y, 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, 7, 4], [v = -2^(1/2),
u = -1, x = 1, 3 < y, z = (y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1, -1], [1, 1], [4, 4], [908093/524288, 1816187/1048576]]]],
[[2, 8, 8, 7, 5], [v = -2^(1/2), u = -1, x = 1, 3 < y, (y-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [1, 1], [4, 4],
[3, 3]]]], [[2, 13, 1, 4, 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], [-5332835/2097152, -\
2666417/1048576], [-2, -2]]]], [[2, 13, 1, 4, 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], [-\
5332835/2097152, -2666417/1048576], [-1417877/2097152, -354469/524288]]]], [[2
, 13, 1, 4, 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], [-5332835/
2097152, -2666417/1048576], [0, 0]]]], [[2, 13, 1, 4, 4], [v = -2^(1/2), And(1
< u,u < -v), x < u^2-3, y = u^2+x-1, z = (u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-3, -3]
, [-5332835/2097152, -2666417/1048576], [354469/524288, 708939/1048576]]]], [[
2, 13, 1, 4, 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], [-5332835/2097152, -2666417/1048576], [2
, 2]]]], [[2, 14, 4, 2, 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, 2, 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, 2, 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, 5, 2, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(
-1 < x,x < 0), y = x-u^2+v^2+1, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [-1/2, -1/2], [-3692505/524288, -7385009/1048576],
[0, 0]]]], [[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-1 < 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, 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(x < y,y < u^2-v^2+x+1),
z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [-\
8979943/8388608, -8979943/8388608], [-2, -2]]]], [[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(
x < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -\
2695357/2097152], [-8979943/8388608, -8979943/8388608], [-485927/1048576, -\
242963/524288]]]], [[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(x < y,y < u^2-v^2+x+1), And(-(
y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/
2097152], [-8979943/8388608, -8979943/8388608], [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(x < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2695357/
2097152, -2695357/2097152], [-8979943/8388608, -8979943/8388608], [242963/
524288, 485927/1048576]]]], [[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(x < y,y < u^2-v^2+x+1)
, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [-\
8979943/8388608, -8979943/8388608], [2, 2]]]], [[3, 8, 6, 3, 1], [And(-2^(1/2)
< v,v < -1), u = -(v^2-1)^(1/2), x = 0, And(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < u^2-1), z < -(y+1)^(1/2)], [regular_chain, [[-1, -\
1], [-3, -3], [-1, -1], [4, 4], [-4, -4]]]], [[4, 1, 4, 7, 2], [v = -1, u < -3
^(1/2), x = -1, And(0 < y,y < u^2-1), z = -(y+1)^(1/2)], [regular_chain, [[-1,
-1], [-3, -3], [-1, -1], [4, 4], [-146543/65536, -2344687/1048576]]]], [[4, 1,
4, 7, 3], [v = -1, u < -3^(1/2), x = -1, And(0 < y,y < u^2-1), And(-(y+1)^(1/2
) < z,z < (y+1)^(1/2))], [regular_chain, [[-1, -1], [-3, -3], [-1, -1], [4, 4]
, [0, 0]]]], [[4, 1, 4, 7, 4], [v = -1, u < -3^(1/2), x = -1, And(0 < y,y < u^
2-1), z = (y+1)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-1, -1], [4, 4],
[2344687/1048576, 146543/65536]]]], [[4, 1, 4, 7, 5], [v = -1, u < -3^(1/2), x
= -1, And(0 < y,y < u^2-1), (y+1)^(1/2) < z], [regular_chain, [[-1, -1], [-3,
-3], [-1, -1], [4, 4], [4, 4]]]], [[4, 2, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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(x < y,y < u^2-v
^2+x+1), z < -(y-x)^(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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z <
(y-x)^(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(x < y,y < u^2-v^2+x+1), z = (y-x)^(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(x < y,y < u^2-v^2+x+1), (y-x)^(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 < 0), z < -(u^2-v^2+y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [-736367/524288, -1472733/1048576], [-\
3393259/8388608, -3393259/8388608], [-3, -3]]]], [[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
< 0), z = -(u^2-v^2+y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-736367/524288, -1472733/1048576], [-3393259/
8388608, -3393259/8388608], [-1048577/1048576, -1]]]], [[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 < 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], [-3393259/8388608, -3393259/8388608], [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 < 0), z = (u^2-v^2+y+1)^(1/2)], [regular_chain, [[
-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-736367/524288, -1472733/
1048576], [-3393259/8388608, -3393259/8388608], [1, 1048577/1048576]]]], [[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 < 0), (u^2-v^2+y+1)^(1/2) < z], [regular_chain, [[-1/
2, -1/2], [-1696631/2097152, -1696631/2097152], [-736367/524288, -1472733/
1048576], [-3393259/8388608, -3393259/8388608], [3, 3]]]], [[5, 6, 5, 7, 1], [
And(-1 < v,v < 0), u = v, And(0 < x,x < 1), x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1/2, 1/2], [3, 3], [-3, -3]]]], [
[5, 6, 5, 7, 2], [And(-1 < v,v < 0), u = v, And(0 < x,x < 1), x+1 < y, z = -(y
-x)^(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, 7, 3], [And(-1 < v,v < 0), u
= v, And(0 < x,x < 1), x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1/2, 1/2], [3, 3], [0, 0]]]], [[5
, 6, 5, 7, 4], [And(-1 < v,v < 0), u = v, And(0 < x,x < 1), x+1 < y, z = (y-x)
^(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, 7, 5], [And(-1 < v,v < 0), u =
v, And(0 < x,x < 1), x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2],
[-1/2, -1/2], [1/2, 1/2], [3, 3], [3, 3]]]], [[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(x-u^2+v^2+1
< y,y < 0), z < -(y-x)^(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(x-u^2+v^2+1 < y,y < 0), z
= -(y-x)^(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(x-u^2+
v^2+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x-u^2+v^2+1 < y,y < 0), z = (y-x)^(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(x-u^2+v^2+1 < y,y < 0), (y-x)^(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 = 1, z < 0], [regular_chain, [[0, 0], [-3, -3], [1, 1],
[1, 1], [-1, -1]]]], [[6, 1, 8, 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, 8, 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, 3, 1, 7, 1], [v = 0, And(-2^(1/2) < u,u
< -1), x < -u^2-1, And(u^2+x+1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain,
[[0, 0], [-1265743/1048576, -1265743/1048576], [-4, -4], [-1617841/2097152, -\
1617841/2097152], [-3, -3]]]], [[6, 3, 1, 7, 2], [v = 0, And(-2^(1/2) < u,u <
-1), x < -u^2-1, And(u^2+x+1 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[
0, 0], [-1265743/1048576, -1265743/1048576], [-4, -4], [-1617841/2097152, -\
1617841/2097152], [-471025/262144, -7536399/4194304]]]], [[6, 3, 1, 7, 3], [v
= 0, And(-2^(1/2) < u,u < -1), x < -u^2-1, And(u^2+x+1 < y,y < 0), And(-(y-x)^
(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [-1265743/1048576, -\
1265743/1048576], [-4, -4], [-1617841/2097152, -1617841/2097152], [-3/8388608,
-3/8388608]]]], [[6, 3, 1, 7, 4], [v = 0, And(-2^(1/2) < u,u < -1), x < -u^2-1
, And(u^2+x+1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [-1265743
/1048576, -1265743/1048576], [-4, -4], [-1617841/2097152, -1617841/2097152], [
1884099/1048576, 471025/262144]]]], [[6, 3, 1, 7, 5], [v = 0, And(-2^(1/2) < u
,u < -1), x < -u^2-1, And(u^2+x+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain
, [[0, 0], [-1265743/1048576, -1265743/1048576], [-4, -4], [-1617841/2097152,
-1617841/2097152], [3, 3]]]], [[6, 9, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = 0, u = 2^(1/2), 
And(0 < x,x < 1), And(x < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[0,
0], [741455/524288, 1482911/1048576], [1/2, 1/2], [2, 2], [-3, -3]]]], [[6, 10
, 7, 7, 2], [v = 0, u = 2^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), z = -(y
-x)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [1/2, 1
/2], [2, 2], [-1284239/1048576, -642119/524288]]]], [[6, 10, 7, 7, 3], [v = 0,
u = 2^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y
-x)^(1/2))], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [1/2,
1/2], [2, 2], [0, 0]]]], [[6, 10, 7, 7, 4], [v = 0, u = 2^(1/2), And(0 < x,x <
1), And(x < y,y < x+3), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [741455/
524288, 1482911/1048576], [1/2, 1/2], [2, 2], [642119/524288, 1284239/1048576]
]]], [[6, 10, 7, 7, 5], [v = 0, u = 2^(1/2), And(0 < x,x < 1), And(x < y,y < x
+3), (y-x)^(1/2) < z], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [1/2, 1/2], [2, 2], [3, 3]]]], [[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 < -y^(1/2)
], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [0, 0], [4,
4], [-3, -3]]]], [[7, 3, 6, 7, 2], [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 = -y^(1/2)], [regular_chain, [[1/2,
1/2], [-343151/262144, -343151/262144], [0, 0], [4, 4], [-2, -2]]]], [[7, 3, 6
, 7, 3], [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, 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, 7, 4], [
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 = y^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [0, 0], [4, 4], [2, 2]]]], [[7, 3, 6, 7, 5], [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, y^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [0, 0], [4, 4],
[3, 3]]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-3, -3], [0, 0], [-3, -3]]]], [[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 =
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
, 8, 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, 8, 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, 8, 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]]]], [[8, 1, 9, 7, 1], [v
= 1, u < -3^(1/2), And(1 < x,x < u^2-2), And(x < y,y < u^2+x), z < -(y-x)^(1/2
)], [regular_chain, [[1, 1], [-3, -3], [4, 4], [17/2, 17/2], [-4, -4]]]], [[8,
1, 9, 7, 2], [v = 1, u < -3^(1/2), And(1 < x,x < u^2-2), And(x < y,y < u^2+x),
z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [4, 4], [17/2, 17/2], [-\
1112183/524288, -2224365/1048576]]]], [[8, 1, 9, 7, 3], [v = 1, u < -3^(1/2),
And(1 < x,x < u^2-2), And(x < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/
2))], [regular_chain, [[1, 1], [-3, -3], [4, 4], [17/2, 17/2], [0, 0]]]], [[8,
1, 9, 7, 4], [v = 1, u < -3^(1/2), And(1 < x,x < u^2-2), And(x < y,y < u^2+x),
z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [4, 4], [17/2, 17/2], [
2224365/1048576, 1112183/524288]]]], [[8, 1, 9, 7, 5], [v = 1, u < -3^(1/2), 
And(1 < x,x < u^2-2), And(x < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain,
[[1, 1], [-3, -3], [4, 4], [17/2, 17/2], [4, 4]]]], [[8, 3, 3, 5, 1], [v = 1,
And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), And(x < y,y < 0), z < -(
y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x <
y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x
)^(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
-u^2+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, 8, 2], [v = 1, And(-1 < u,u < 0), 
And(-u^2 < x,x < 0), y = x-u^2+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, 8, 3], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), y = x-u^2
+2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[1, 1], [-1
/2, -1/2], [-1/8, -1/8], [13/8, 13/8], [0, 0]]]], [[8, 7, 7, 8, 4], [v = 1, 
And(-1 < u,u < 0), And(-u^2 < x,x < 0), y = x-u^2+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, 8, 5], [v = 1, And(-1 < u,u < 0), And(-u^2
< x,x < 0), y = x-u^2+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, 3, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 4, 6, 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, 6, 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, 6,
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, 6, 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, 6, 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, 7, 2, 1],
[And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y = x-u^2+v^2+1
, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1/2,
1/2], [-3168217/524288, -6336433/1048576], [0, 0]]]], [[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), u^
2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/
2097152], [3, 3], [-3, -3]]]], [[9, 5, 7, 9, 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), u^2-v^2+x+1 < y, z = -(y
-x)^(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, 9, 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), u^2-v^2+x+1 < y,
And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9, 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), u^
2-v^2+x+1 < y, z = (y-x)^(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, 9, 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),
u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/
2097152], [3, 3], [3, 3]]]], [[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 < x, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [-2, -2], [0, 0]]]], [
[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 = 0, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152], [0, 0],
[0, 0]]]], [[9, 11, 4, 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 < y,y < 0), z < -(y+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1],
[-1196409/4194304, -1196409/4194304], [-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(u^2-v^2 < y,y < 0),
z = -(y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-1, -1], [-1196409/4194304, -1196409/4194304
], [-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(u^2-v^2 < y,y < 0), And(-(y
+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-1, -1], [-1196409/4194304, -\
1196409/4194304], [-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(u^2-v^2 < y,y < 0), z =
(y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [-1, -1], [-1196409/4194304, -1196409/4194304], [
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(u^2-v^2 < y,y < 0), (y+1)^(1/2) < z]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341
/1048576], [-1, -1], [-1196409/4194304, -1196409/4194304], [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 < 0, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [775271/1048576, 775271/
1048576], [-1, -1], [0, 0]]]], [[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]
, [-4478937/524288, -8957873/1048576], [-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], [-4478937/524288, -8957873/1048576], [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], [-4478937/524288, -8957873/1048576], [1, 1]
]]], [[10, 5, 9, 3, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(0 < x,x <
1), And(0 < y,y < x), z = z], [regular_chain, [[741455/524288, 1482911/1048576
], [-6598195/4194304, -6598195/4194304], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[
10, 7, 6, 2, 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], [-479311/1048576, -239655
/524288], [-1, -1]]]], [[10, 7, 6, 2, 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], [-\
479311/1048576, -239655/524288], [0, 0]]]], [[10, 7, 6, 2, 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], [-479311/1048576, -239655/524288], [1, 1]]]], [[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
-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, 5, 1], [v = 2^(1/2), And(1 < u,
u < v), x = u^2-3, And(2*u^2-4 < y,y < 0), z < -(y-u^2+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, 5, 2], [v = 2^(1/2), And(1 < u,u < v), x =
u^2-3, And(2*u^2-4 < y,y < 0), z = -(y-u^2+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, 5, 3], [v = 2^(1/2), And(1 < u,u < v), x = u^2-3
, And(2*u^2-4 < y,y < 0), And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+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, 5, 4], [v = 2^(1/2), And(1 < u,u < v), x = u
^2-3, And(2*u^2-4 < y,y < 0), z = (y-u^2+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, 5, 5], [v = 2^(1/2), And(1 < u,u < v), x = u^2-3, 
And(2*u^2-4 < y,y < 0), (y-u^2+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, 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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [0, 0], [653799/262144, 2615197/1048576], [-3, -3]]]], [[11,
3, 6, 6, 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], [653799/262144, 2615197/1048576], [-\
1655969/1048576, -3311937/2097152]]]], [[11, 3, 6, 6, 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], [653799/262144, 2615197/1048576], [-1/4194304, -1/
4194304]]]], [[11, 3, 6, 6, 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], [653799/262144, 2615197/
1048576], [51749/32768, 1655969/1048576]]]], [[11, 3, 6, 6, 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], [653799/262144, 2615197/1048576], [3, 3]]]], [[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 = -u^2+v^2-1, z < 0], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-195745/131072, -\
1565959/1048576], [-195745/131072, -1565959/1048576], [-1, -1]]]], [[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 = -u^2+
v^2-1, z = 0], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-\
195745/131072, -1565959/1048576], [-195745/131072, -1565959/1048576], [0, 0]]]
], [[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 = -u^2+v^2-1, 0 < z], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [-195745/131072, -1565959/1048576], [-195745/131072, -1565959/
1048576], [1, 1]]]], [[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 = z], [regular_chain, [[
3, 3], [-22960369/8388608, -22960369/8388608], [0, 0], [-1066071/4194304, -\
1066071/4194304], [0, 0]]]], [[11, 10, 9, 1, 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], [-1, -1], [0, 0]]]], [[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(x-u^2+v^2+1 < y,y < u^2-v
^2+x+1), z < -(y-x)^(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(x-u^2+v^2+1 < y,y < u^2-v^2+
x+1), z = -(y-x)^(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(x-u^2+v^2+1 < y,y < u^2-v^2+
x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x-u^2+v^2+1 < y,
y < u^2-v^2+x+1), z = (y-x)^(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(x-u^2+v^2+1 < y,y < u^2-v
^2+x+1), (y-x)^(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 < -(y+1)^(1/2)], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [-1, -1], [2, 2], [-3, -3]]]], [[11, 18, 4, 7,
2], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -1, 1 < y, z = -(y+1)^(1/2)], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-1, -1], [2, 2], [-\
1816187/1048576, -3632373/2097152]]]], [[11, 18, 4, 7, 3], [2^(1/2) < v, u = (
v^2+1)^(1/2), x = -1, 1 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-1, -1], [2, 2], [-1
/4194304, -1/4194304]]]], [[11, 18, 4, 7, 4], [2^(1/2) < v, u = (v^2+1)^(1/2),
x = -1, 1 < y, z = (y+1)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 
3315889/1048576], [-1, -1], [2, 2], [908093/524288, 1816187/1048576]]]], [[11,
18, 4, 7, 5], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -1, 1 < y, (y+1)^(1/2) < z]
, [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-1, -1], [2, 2],
[3, 3]]]], [[1, 1, 11, 9, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), u^2-v^2-1 < x
, u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [16
, 16], [34, 34], [-6, -6]]]], [[1, 1, 11, 9, 2], [v < -2^(1/2), u < -(v^2+2)^(
1/2), u^2-v^2-1 < x, u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3,
-3], [-5, -5], [16, 16], [34, 34], [-1112183/262144, -4448731/1048576]]]], [[1
, 1, 11, 9, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, u^2-v^2+x+1
< y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-5, -\
5], [16, 16], [34, 34], [0, 0]]]], [[1, 1, 11, 9, 4], [v < -2^(1/2), u < -(v^2
+2)^(1/2), u^2-v^2-1 < x, u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [
[-3, -3], [-5, -5], [16, 16], [34, 34], [4448731/1048576, 1112183/262144]]]],
[[1, 1, 11, 9, 5], [v < -2^(1/2), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, u^2-v^2+x
+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5], [16, 16], [34,
34], [6, 6]]]], [[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(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y
-x)^(1/2) < z,z < (y-x)^(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
(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = x-u
^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [1/2, 1/2], [526217/262144, 2104869/1048576], [-3,
-3]]]], [[1, 7, 9, 8, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(0
< x,x < 1), y = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -\
3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [526217/262144, 2104869/
1048576], [-1287385/1048576, -160923/131072]]]], [[1, 7, 9, 8, 3], [v < -2^(1/
2), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = x-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], [1/2, 1/2], [526217/262144, 2104869/
1048576], [0, 0]]]], [[1, 7, 9, 8, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), And(0 < x,x < 1), y = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [
526217/262144, 2104869/1048576], [160923/131072, 1287385/1048576]]]], [[1, 7,
9, 8, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y =
x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [1/2, 1/2], [526217/262144, 2104869/1048576], [3,
3]]]], [[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 = z], [regular_chain, [[-3, -3], [
-22960369/8388608, -22960369/8388608], [-1/2, -1/2], [-264331/262144, -1057323
/1048576], [0, 0]]]], [[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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/
2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-657289/
524288, -657289/524288], [-8450337/8388608, -8450337/8388608], [-2, -2]]]], [[
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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[-3
, -3], [6111549/2097152, 6111549/2097152], [-657289/524288, -657289/524288], [
-8450337/8388608, -8450337/8388608], [-16263/32768, -520415/1048576]]]], [[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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-657289/524288,
-657289/524288], [-8450337/8388608, -8450337/8388608], [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(x < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-657289/524288, -657289/524288], [-8450337
/8388608, -8450337/8388608], [520415/1048576, 16263/32768]]]], [[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(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-657289/524288, -657289/524288], [-8450337
/8388608, -8450337/8388608], [2, 2]]]], [[1, 16, 7, 2, 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, 9, 9, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), 1 < x, x+3 < y,
z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288
], [2, 2], [6, 6], [-3, -3]]]], [[1, 20, 9, 9, 2], [v < -2^(1/2), u = (v^2+2)^
(1/2), 1 < x, x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [2, 2], [6, 6], [-2, -2]]]], [[1, 20, 9, 9, 3], [v <
-2^(1/2), u = (v^2+2)^(1/2), 1 < x, x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1
/2))], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [2, 2], [
6, 6], [0, 0]]]], [[1, 20, 9, 9, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), 1 < x,
x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 
1738867/524288], [2, 2], [6, 6], [2, 2]]]], [[1, 20, 9, 9, 5], [v < -2^(1/2),
u = (v^2+2)^(1/2), 1 < x, x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3]
, [3477733/1048576, 1738867/524288], [2, 2], [6, 6], [3, 3]]]], [[2, 1, 3, 5,
1], [v = -2^(1/2), u < -2, And(-u^2+1 < x,x < -1), And(x < y,y < 0), z < -(y-x
)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x <
y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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(x
< y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [0, 0], [2, 2], [7/2, 7/2], [-3, -3]]]], [[2, 10, 9, 7, 2], [v = -2^(
1/2), u = 0, 1 < x, And(x < y,y < x+3), z = -(y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [2, 2], [7/2, 7/2], [-1284239/
1048576, -642119/524288]]]], [[2, 10, 9, 7, 3], [v = -2^(1/2), u = 0, 1 < x, 
And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
-1482911/1048576, -741455/524288], [0, 0], [2, 2], [7/2, 7/2], [0, 0]]]], [[2,
10, 9, 7, 4], [v = -2^(1/2), u = 0, 1 < x, And(x < y,y < x+3), z = (y-x)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [2, 2], [7/2,
7/2], [642119/524288, 1284239/1048576]]]], [[2, 10, 9, 7, 5], [v = -2^(1/2), u
= 0, 1 < x, And(x < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [0, 0], [2, 2], [7/2, 7/2], [3, 3]]]], [[2, 12, 3, 7
, 1], [v = -2^(1/2), u = 1, And(-2 < x,x < -1), x+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3/2, -3/2], [2,
2], [-3, -3]]]], [[2, 12, 3, 7, 2], [v = -2^(1/2), u = 1, And(-2 < x,x < -1),
x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [1, 1], [-3/2, -3/2], [2, 2], [-7846825/4194304, -980853/524288]]]], [[2, 
12, 3, 7, 3], [v = -2^(1/2), u = 1, And(-2 < x,x < -1), x+2 < y, And(-(y-x)^(1
/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288]
, [1, 1], [-3/2, -3/2], [2, 2], [0, 0]]]], [[2, 12, 3, 7, 4], [v = -2^(1/2), u
= 1, And(-2 < x,x < -1), x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [1, 1], [-3/2, -3/2], [2, 2], [980853/524288, 
1961707/1048576]]]], [[2, 12, 3, 7, 5], [v = -2^(1/2), u = 1, And(-2 < x,x < -\
1), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [1, 1], [-3/2, -3/2], [2, 2], [3, 3]]]], [[2, 16, 9, 2, 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, 2, 7, 1], [v = -2^(1/2), u = 2, x = -3, 0 < y, z < -(y+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-3, -3], [1, 1],
[-3, -3]]]], [[2, 18, 2, 7, 2], [v = -2^(1/2), u = 2, x = -3, 0 < y, z = -(y+3
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-3, -3
], [1, 1], [-2, -2]]]], [[2, 18, 2, 7, 3], [v = -2^(1/2), u = 2, x = -3, 0 < y
, And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [2, 2], [-3, -3], [1, 1], [0, 0]]]], [[2, 18, 2, 7, 4], [v =
-2^(1/2), u = 2, x = -3, 0 < y, z = (y+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [2, 2], [-3, -3], [1, 1], [2, 2]]]], [[2, 18, 2, 7,
5], [v = -2^(1/2), u = 2, x = -3, 0 < y, (y+3)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [-3, -3], [1, 1], [3, 3]]]], [[3, 4,
9, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 4, 1, 1],
[And(-2^(1/2) < v,v < -1), u = v, x = 0, y < 0, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [0,
0], [-1, -1], [0, 0]]]], [[3, 10, 9, 3, 1], [And(-2^(1/2) < v,v < -1), u = (v^
2-1)^(1/2), 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [2, 2], [1, 1], [
0, 0]]]], [[3, 12, 3, 5, 1], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x <
0), And(0 < y,y < x+1), z < -(y-x)^(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+1), z = -(y-x)^(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, 5, 3], [And(-
2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 0), And(0 < y,y < x+1), And(-(y-x)
^(1/2) < z,z < (y-x)^(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, 5, 4], [And(-2^(1/2) < v,v < -1), u = -v,
And(-1 < x,x < 0), And(0 < y,y < x+1), z = (y-x)^(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, 5, 5], [And
(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 0), And(0 < y,y < x+1), (y-x)^(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 = 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],
[-1595187/1048576, -3190373/2097152], [-3, -3]]]], [[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
= 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], [-1595187/1048576,
-3190373/2097152], [-3301741/2097152, -825435/524288]]]], [[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 = u^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], [-1595187/1048576, -3190373/2097152], [0, 0]]]], [[3, 15, 1
, 6, 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],
[-1595187/1048576, -3190373/2097152], [825435/524288, 1650871/1048576]]]], [[3
, 15, 1, 6, 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], [-1595187/1048576, -3190373/2097152], [3, 3]]]], [[3, 16, 4, 2, 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, 3, 2, 1], [v = -1, And(-3^(1/
2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), y = x-u^2+2, z = z], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1821767/
1048576, -1821767/1048576], [-1159787/524288, -2319573/1048576], [0, 0]]]], [[
4, 4, 7, 1, 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], [-1,
-1], [0, 0]]]], [[4, 11, 3, 5, 1], [v = -1, And(1 < u,u < 2^(1/2)), And(-u^2 <
x,x < -1), And(x-u^2+2 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1
], [1265743/1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576], [
-1437931/4194304, -1437931/4194304], [-2, -2]]]], [[4, 11, 3, 5, 2], [v = -1,
And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), And(x-u^2+2 < y,y < 0), z = -(y-
x)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-\
1288231/1048576, -1288231/1048576], [-1437931/4194304, -1437931/4194304], [-\
15789521/16777216, -986845/1048576]]]], [[4, 11, 3, 5, 3], [v = -1, And(1 < u,
u < 2^(1/2)), And(-u^2 < x,x < -1), And(x-u^2+2 < y,y < 0), And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-1288231/1048576, -1288231/1048576], [-1437931/4194304, -1437931/
4194304], [0, 0]]]], [[4, 11, 3, 5, 4], [v = -1, And(1 < u,u < 2^(1/2)), And(-
u^2 < x,x < -1), And(x-u^2+2 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-\
1, -1], [1265743/1048576, 1265743/1048576], [-1288231/1048576, -1288231/
1048576], [-1437931/4194304, -1437931/4194304], [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(x-u^2+2 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576], [-\
1437931/4194304, -1437931/4194304], [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 < -(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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 4, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), 1 < x, y = x-1, z = z], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [2, 2], [1, 1], [0, 0]]]], [[5, 12
, 9, 9, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), 1 < x, x+3 < y, z < -(y-x)^
(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [2, 2], [6, 6], [-3, -3]]]]
, [[5, 12, 9, 9, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), 1 < x, x+3 < y, z
= -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [2, 2], [6, 6], [-\
2, -2]]]], [[5, 12, 9, 9, 3], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), 1 < x, x+
3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2],
[3/2, 3/2], [2, 2], [6, 6], [0, 0]]]], [[5, 12, 9, 9, 4], [And(-1 < v,v < 0),
u = (v^2+2)^(1/2), 1 < x, x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[-1/2, -\
1/2], [3/2, 3/2], [2, 2], [6, 6], [2, 2]]]], [[5, 12, 9, 9, 5], [And(-1 < v,v
< 0), u = (v^2+2)^(1/2), 1 < x, x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-\
1/2, -1/2], [3/2, 3/2], [2, 2], [6, 6], [3, 3]]]], [[6, 1, 3, 5, 1], [v = 0, u
< -2^(1/2), And(-u^2-1 < x,x < -1), And(x < y,y < 0), z < -(y-x)^(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(x < y,y <
0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z
< (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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(-1 < y,y < -u^2), z < -(y+1)^(1/2)], [regular_chain, [[0, 0], [-\
1/2, -1/2], [-1, -1], [-5/8, -5/8], [-2, -2]]]], [[6, 5, 4, 3, 2], [v = 0, And
(-1 < u,u < 0), x = -1, And(-1 < y,y < -u^2), z = -(y+1)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [-5/8, -5/8], [-1284239/
2097152, -642119/1048576]]]], [[6, 5, 4, 3, 3], [v = 0, And(-1 < u,u < 0), x =
-1, And(-1 < y,y < -u^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [-5/8, -5/8], [0, 0]]]], [[6,
5, 4, 3, 4], [v = 0, And(-1 < u,u < 0), x = -1, And(-1 < y,y < -u^2), z = (y+1
)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [-5/8, -5/8], [
642119/1048576, 80265/131072]]]], [[6, 5, 4, 3, 5], [v = 0, And(-1 < u,u < 0),
x = -1, And(-1 < y,y < -u^2), (y+1)^(1/2) < z], [regular_chain, [[0, 0], [-1/2
, -1/2], [-1, -1], [-5/8, -5/8], [2, 2]]]], [[6, 7, 1, 4, 1], [v = 0, And(0 <
u,u < 1), x < -u^2-1, y = x-u^2+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, 4, 2], [v = 0,
And(0 < u,u < 1), x < -u^2-1, y = x-u^2+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, 4, 3], [v = 0, And(0 < u,u < 1), x < -u^2-1,
y = x-u^2+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, 4, 4], [v = 0, And(0 < u,u < 1), x < -u^2-1, y = x-u^2+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, 4, 5], [v = 0, And(0 < u,u < 1), x < -u
^2-1, y = x-u^2+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, 1, 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], [-8, -8], [0, 0]]]], [[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 = 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], [-805555/524288, -3222219/2097152], [-3, -3]]]], [[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 = 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], [-805555/524288, -3222219/2097152],
[-3291611/2097152, -1645805/1048576]]]], [[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 = u^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], [-805555/524288, -3222219/
2097152], [0, 0]]]], [[7, 3, 1, 6, 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], [-\
805555/524288, -3222219/2097152], [1645805/1048576, 822903/524288]]]], [[7, 3,
1, 6, 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], [-805555/524288, -3222219/
2097152], [3, 3]]]], [[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-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain
, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [2, 2], [-3, -3]]]], [[7, 7, 5, 9, 2], [
And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1), x-u^2+v^2+1 <
y, z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [2, 2
], [-3555895/2097152, -1777947/1048576]]]], [[7, 7, 5, 9, 3], [And(0 < v,v < 1
), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1), x-u^2+v^2+1 < y, And(-(y-x)^
(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8]
, [2, 2], [0, 0]]]], [[7, 7, 5, 9, 4], [And(0 < v,v < 1), And(-v < u,u < v), 
And(-1 < x,x < -u^2+v^2-1), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [regular_chain,
[[1/2, 1/2], [0, 0], [-7/8, -7/8], [2, 2], [1777947/1048576, 444487/262144]]]]
, [[7, 7, 5, 9, 5], [And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+
v^2-1), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0]
, [-7/8, -7/8], [2, 2], [3, 3]]]], [[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(x < y,y < x-u^2+v^2+1)
, z < -(y-x)^(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, 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(x < y,y < x-u^2+v^2+1), z = -(y-x)
^(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, 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(x < y,y < x-u^2+v^2
+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(x < y,y < x-
u^2+v^2+1), z = (y-x)^(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, 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(x < y,
y < x-u^2+v^2+1), (y-x)^(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, 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(0 < y,
y < x), 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 = x, z < 0],
[regular_chain, [[1/2, 1/2], [3/2, 3/2], [2, 2], [2, 2], [-1, -1]]]], [[7, 12,
9, 6, 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,
6, 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, 8,
6, 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], [773191/262144, 3092765/1048576], [-3, -3]]]], [[8, 3, 8, 6,
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], [773191/262144, 3092765/1048576], [-1649549/1048576, -3299097
/2097152]]]], [[8, 3, 8, 6, 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], [773191/262144, 
3092765/1048576], [-1/4194304, -1/4194304]]]], [[8, 3, 8, 6, 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],
[773191/262144, 3092765/1048576], [412387/262144, 1649549/1048576]]]], [[8, 3,
8, 6, 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], [773191/262144, 3092765/1048576], [3, 3]]]], [[8, 5,
3, 7, 1], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(0 < y,y
< u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [-1288231/1048576, -1288231/1048576], [239655/2097152, 
239655/2097152], [-3, -3]]]], [[8, 5, 3, 7, 2], [v = 1, And(-2^(1/2) < u,u < -\
1), And(-u^2 < x,x < -1), And(0 < y,y < u^2+x), z = -(y-x)^(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, 7, 3], [v = 1, And(-2^(1/2) < u,u < -1), And(
-u^2 < x,x < -1), And(0 < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1288231/
1048576, -1288231/1048576], [239655/2097152, 239655/2097152], [0, 0]]]], [[8,
5, 3, 7, 4], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(0 < y
,y < u^2+x), z = (y-x)^(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, 7, 5], [v = 1
, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(0 < y,y < u^2+x), (y-x)^
(1/2) < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-\
1288231/1048576, -1288231/1048576], [239655/2097152, 239655/2097152], [3, 3]]]
], [[8, 11, 9, 4, 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, 4, 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, 4, 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, 4, 3, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, And(-u^2+1 < y
,y < -1), z = z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152],
[-1, -1], [-2594957/2097152, -2594957/2097152], [0, 0]]]], [[9, 2, 1, 3, 1], [
And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x < -3, And(x-1 < y,y < x), z = z]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-4, -4], [-9/2, -9/2], [0, 0]]]], [[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 = 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, 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 = 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, 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 = 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, 6, 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], [1538811/1048576, 384703/262144], [-3, -3]]]], [[9,
13, 8, 6, 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], [1538811/1048576
, 384703/262144], [-1270261/1048576, -317565/262144]]]], [[9, 13, 8, 6, 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], [
1538811/1048576, 384703/262144], [0, 0]]]], [[9, 13, 8, 6, 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], [1538811/1048576, 384703/262144], [317565/262144, 
1270261/1048576]]]], [[9, 13, 8, 6, 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
], [1538811/1048576, 384703/262144], [3, 3]]]], [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [-3647693/2097152,
-3647693/2097152], [387635/1048576, 387635/1048576], [-3, -3]]]], [[9, 15, 3,
7, 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 < u^2-v^2+x+1), z = -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-3647693/2097152, -3647693/2097152], [387635/1048576, 387635/1048576
], [-380699/262144, -1522795/1048576]]]], [[9, 15, 3, 7, 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 < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-3647693/2097152, -3647693/2097152], [387635/1048576, 387635/1048576
], [0, 0]]]], [[9, 15, 3, 7, 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 < u^2-v^2+x+1),
z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327
/524288, 898327/524288], [-3647693/2097152, -3647693/2097152], [387635/1048576
, 387635/1048576], [1522795/1048576, 380699/262144]]]], [[9, 15, 3, 7, 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 < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-3647693
/2097152, -3647693/2097152], [387635/1048576, 387635/1048576], [3, 3]]]], [[10
, 1, 11, 7, 1], [v = 2^(1/2), u < -2, u^2-3 < x, And(x < y,y < u^2+x-1), z < -
(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [7,
7], [11, 11], [-3, -3]]]], [[10, 1, 11, 7, 2], [v = 2^(1/2), u < -2, u^2-3 < x
, And(x < y,y < u^2+x-1), z = -(y-x)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-3, -3], [7, 7], [11, 11], [-2, -2]]]], [[10, 1, 11, 7, 3],
[v = 2^(1/2), u < -2, u^2-3 < x, And(x < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,
z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3]
, [7, 7], [11, 11], [0, 0]]]], [[10, 1, 11, 7, 4], [v = 2^(1/2), u < -2, u^2-3
< x, And(x < y,y < u^2+x-1), z = (y-x)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [-3, -3], [7, 7], [11, 11], [2, 2]]]], [[10, 1, 11, 7, 5],
[v = 2^(1/2), u < -2, u^2-3 < x, And(x < y,y < u^2+x-1), (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [7, 7], [11, 11],
[3, 3]]]], [[10, 3, 4, 8, 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], [1554043/1048576, 
388511/262144], [-3, -3]]]], [[10, 3, 4, 8, 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], [
1554043/1048576, 388511/262144], [-825991/524288, -3303963/2097152]]]], [[10,
3, 4, 8, 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], [1554043/1048576, 
388511/262144], [-1/4194304, -1/4194304]]]], [[10, 3, 4, 8, 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], [1554043/1048576, 388511/262144], [1651981/1048576, 825991
/524288]]]], [[10, 3, 4, 8, 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], [1554043/1048576, 
388511/262144], [3, 3]]]], [[10, 9, 8, 7, 1], [v = 2^(1/2), And(-1 < u,u < 0),
x = -u^2+1, -2*u^2+4 < y, 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, 7, 2], [v = 2^(1/2), And(-1 < u,u < 0), x = -u^2+1, -2*u^2+4 < y, 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, 7,
3], [v = 2^(1/2), And(-1 < u,u < 0), x = -u^2+1, -2*u^2+4 < y, 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, 7, 4], [v =
2^(1/2), And(-1 < u,u < 0), x = -u^2+1, -2*u^2+4 < y, 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, 7, 5], [v = 2^(1/2), 
And(-1 < u,u < 0), x = -u^2+1, -2*u^2+4 < y, (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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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(x < y,y < u^2+x-1
), z < -(y-x)^(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(x < y,y < u^2+x-1), z = -(y-x)^(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(x < y,y <
u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2+x-1), z = (y-x)^(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(x < y,y < u^2+x-1), (y-x)^(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 = z], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [-1, -1], [-7, -7], [0, 0]]]], [[11, 1, 6, 1, 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], [-16, -16], [0, 0]]]], [[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(0 < y,y < x
-u^2+v^2+1), z < -(y-x)^(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(0 < y,y < x-u^2+v^2+1), z = -(y-x)^(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(0 < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2)
< z,z < (y-x)^(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(0 < y,y < x-u^2+v^2+1), z = (y-x)^(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(0 < y,y < x-u^2+v^2+1), (y-x)^(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 = -1, z < 0], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-1, -1], [-1, -\
1], [-1, -1]]]], [[11, 7, 4, 2, 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, 2, 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, 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 = z], [regular_chain, [[3, 3]
, [1435023/524288, 1435023/524288], [-5260377/2097152, -657547/262144], [-\
11586825/4194304, -11586825/4194304], [0, 0]]]], [[11, 14, 5, 3, 1], [2^(1/2)
< v, u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(1/2)]
, [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [-1
/4, -1/4], [-2, -2]]]], [[11, 14, 5, 3, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), 
And(-1 < x,x < 0), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-1 < x,x < 0), 
And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3,
3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [-1/4, -1/4], [0, 0]]]], [
[11, 14, 5, 3, 4], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(x <
y,y < 0), z = (y-x)^(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, 3, 5], [2^(1
/2) < v, u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(1/2) <
z], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [
-1/4, -1/4], [2, 2]]]], [[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 = -2*u^2+2*v^2, z = z], [regular_chain
, [[3, 3], [3396811/1048576, 3396811/1048576], [-2615197/1048576, -653799/
262144], [-200527383/67108864, -100263691/33554432], [0, 0]]]], [[11, 20, 4, 3
, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -1, And(-2 < y,y < -1), z = z], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1, -1], [-3/2, -3
/2], [0, 0]]]], [[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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z < -(y-x)^(
1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1062385/
4194304, -1062385/4194304], [195745/262144, 195745/262144], [-3, -3]]]], [[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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain,
[[-3, -3], [-403851/131072, -403851/131072], [-1062385/4194304, -1062385/
4194304], [195745/262144, 195745/262144], [-1048577/1048576, -1]]]], [[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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1062385/
4194304, -1062385/4194304], [195745/262144, 195745/262144], [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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[
-3, -3], [-403851/131072, -403851/131072], [-1062385/4194304, -1062385/4194304
], [195745/262144, 195745/262144], [1, 1048577/1048576]]]], [[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(x-
u^2+v^2+1 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [
-403851/131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [195745
/262144, 195745/262144], [3, 3]]]], [[1, 7, 4, 8, 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], [-3, -3]]]], [[1, 7, 4, 8, 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], [-1287385/1048576, -160923/131072]]]], [[1, 7,
4, 8, 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], [0, 0]]]], [[1, 7, 4, 8, 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], [160923/131072, 1287385/1048576]]]], [[1, 7, 4, 8, 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], [3, 3]]]], [[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 = x, z < 0], [
regular_chain, [[-3, -3], [0, 0], [-1/2, -1/2], [-1/2, -1/2], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-3, -3], [0, 0], [-1/2, -1/2],
[-1/2, -1/2], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-3
, -3], [0, 0], [-1/2, -1/2], [-1/2, -1/2], [1, 1]]]], [[1, 12, 7, 9, 1], [v <
-2^(1/2), u = (v^2-2)^(1/2), And(0 < x,x < 1), x+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [1/2, 1/2], [5, 5], [
-4, -4]]]], [[1, 12, 7, 9, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), And(0 < x,x <
1), x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 
10837/4096], [1/2, 1/2], [5, 5], [-1112183/524288, -2224365/1048576]]]], [[1,
12, 7, 9, 3], [v < -2^(1/2), u = (v^2-2)^(1/2), And(0 < x,x < 1), x+3 < y, And
(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [1/2, 1/2], [5, 5], [0, 0]]]], [[1, 12, 7, 9, 4], [v < -
2^(1/2), u = (v^2-2)^(1/2), And(0 < x,x < 1), x+3 < y, z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [1/2, 1/2], [5, 5], [
2224365/1048576, 1112183/524288]]]], [[1, 12, 7, 9, 5], [v < -2^(1/2), u = (v^
2-2)^(1/2), And(0 < x,x < 1), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-3,
-3], [2774271/1048576, 10837/4096], [1/2, 1/2], [5, 5], [4, 4]]]], [[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], [-2615197/1048576, -653799/
262144], [-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
], [-2615197/1048576, -653799/262144], [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], [-2615197/1048576, -653799/262144], [1, 1]]]
], [[1, 20, 4, 9, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -1, 2 < y, z < -(y
+1)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1,
-1], [3, 3], [-3, -3]]]], [[1, 20, 4, 9, 2], [v < -2^(1/2), u = (v^2+2)^(1/2),
x = -1, 2 < y, z = -(y+1)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576,
1738867/524288], [-1, -1], [3, 3], [-2, -2]]]], [[1, 20, 4, 9, 3], [v < -2^(1/
2), u = (v^2+2)^(1/2), x = -1, 2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))],
[regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1, -1], [3, 3]
, [0, 0]]]], [[1, 20, 4, 9, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -1, 2 <
y, z = (y+1)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [-1, -1], [3, 3], [2, 2]]]], [[1, 20, 4, 9, 5], [v < -2^(1/2), u = (v
^2+2)^(1/2), x = -1, 2 < y, (y+1)^(1/2) < z], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [-1, -1], [3, 3], [3, 3]]]], [[2, 3, 3, 7, 1
], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), And(0 < y,
y < u^2+x-1), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [-3651195/2097152, -3651195/
2097152], [777021/2097152, 777021/2097152], [-3, -3]]]], [[2, 3, 3, 7, 2], [v
= -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), And(0 < y,y < u^
2+x-1), z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-3913339/2097152, -3913339/2097152], [-3651195/2097152, -3651195/2097152],
[777021/2097152, 777021/2097152], [-380925/262144, -1523699/1048576]]]], [[2,
3, 3, 7, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1),
And(0 < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [
-3651195/2097152, -3651195/2097152], [777021/2097152, 777021/2097152], [0, 0]]
]], [[2, 3, 3, 7, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,
x < -1), And(0 < y,y < u^2+x-1), z = (y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-3651195/
2097152, -3651195/2097152], [777021/2097152, 777021/2097152], [1523699/1048576
, 380925/262144]]]], [[2, 3, 3, 7, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2))
, And(-u^2+1 < x,x < -1), And(0 < y,y < u^2+x-1), (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-3651195/2097152, -3651195/2097152], [777021/2097152, 
777021/2097152], [3, 3]]]], [[2, 4, 7, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 4, 9, 1], [v = -2^(1/2), And(v < u,u < -1), x = -1, -u^2+2
< y, z < -(y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
-1265743/1048576, -1265743/1048576], [-1, -1], [2, 2], [-3, -3]]]], [[2, 7, 4,
9, 2], [v = -2^(1/2), And(v < u,u < -1), x = -1, -u^2+2 < y, z = -(y+1)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [2, 2], [-1816187/1048576, -3632373/2097152]]]], [
[2, 7, 4, 9, 3], [v = -2^(1/2), And(v < u,u < -1), x = -1, -u^2+2 < y, 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], [-1/4194304,
-1/4194304]]]], [[2, 7, 4, 9, 4], [v = -2^(1/2), And(v < u,u < -1), x = -1, -u
^2+2 < y, z = (y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [-1265743/1048576, -1265743/1048576], [-1, -1], [2, 2], [908093/524288, 
1816187/1048576]]]], [[2, 7, 4, 9, 5], [v = -2^(1/2), And(v < u,u < -1), x = -\
1, -u^2+2 < y, (y+1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [-1, -1], [2, 2], [3, 3]]]], [[
2, 8, 9, 3, 1], [v = -2^(1/2), u = -1, 1 < x, And(0 < y,y < x), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [2, 2], [1, 1],
[0, 0]]]], [[2, 13, 1, 1, 1], [v = -2^(1/2), And(1 < u,u < -v), x < u^2-3, y <
x, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [-3, -3], [-4, -4], [0, 0]]]], [[2, 14, 4, 3, 1], [
v = -2^(1/2), u = -v, x = 0, And(0 < y,y < 1), 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(
0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1)
, 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(0 < y,y < 1), 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 < x-u^2+v^2+1, z = z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1/2, -1/2
], [-9, -9], [0, 0]]]], [[3, 2, 7, 6, 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, 6, 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, 6, 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, 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, 0 < y, z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3293563/
2097152, -1646781/1048576], [1, 1], [-3, -3]]]], [[3, 7, 2, 7, 2], [And(-2^(1/
2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, 0 < y, z = -(y-u
^2+v^2+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, 7, 3], [And(-2^(1/2) < v
,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, 0 < y, And(-(y-u^2+v^2
+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3293563/2097152, -\
1646781/1048576], [1, 1], [0, 0]]]], [[3, 7, 2, 7, 4], [And(-2^(1/2) < v,v < -\
1), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, 0 < y, z = (y-u^2+v^2+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, 7, 5], [And(-2^(1/2) < v,v < -1), And(
v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, 0 < y, (y-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3293563/2097152, -1646781/1048576], [1, 1], [3, 3]]]], [[3
, 8, 6, 4, 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, 4, 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, 4, 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, 4,
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
, 4, 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, 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, 4, 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, 4, 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, 2, 6,
7, 1], [v = -1, u = -3^(1/2), x = 0, 3 < y, z < -y^(1/2)], [regular_chain, [[-\
1, -1], [-1816187/1048576, -3632373/2097152], [0, 0], [4, 4], [-3, -3]]]], [[4
, 2, 6, 7, 2], [v = -1, u = -3^(1/2), x = 0, 3 < y, z = -y^(1/2)], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [0, 0], [4, 4]
, [-2, -2]]]], [[4, 2, 6, 7, 3], [v = -1, u = -3^(1/2), x = 0, 3 < y, 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, 7, 4], [v = -1, u = -3^(1/2),
x = 0, 3 < y, z = y^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [0, 0], [4, 4], [2, 2]]]], [[4, 2, 6, 7, 5], [v = -1, u = -3
^(1/2), x = 0, 3 < y, y^(1/2) < z], [regular_chain, [[-1, -1], [-1816187/
1048576, -3632373/2097152], [0, 0], [4, 4], [3, 3]]]], [[4, 7, 2, 3, 1], [v =
-1, And(-1 < u,u < 0), x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), z < -(y-u^2+2)^(
1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-7/4, -7/4], [-13/8, -13/8],
[-2, -2]]]], [[4, 7, 2, 3, 2], [v = -1, And(-1 < u,u < 0), x = u^2-2, And(u^2-\
2 < y,y < 2*u^2-2), z = -(y-u^2+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, 3, 3], [v = -1, And(-1 < u,u < 0), x = u^2-2, And(u^2-2 < y,y < 2*u^2-2)
, And(-(y-u^2+2)^(1/2) < z,z < (y-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [
-1/2, -1/2], [-7/4, -7/4], [-13/8, -13/8], [0, 0]]]], [[4, 7, 2, 3, 4], [v = -\
1, And(-1 < u,u < 0), x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), z = (y-u^2+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, 3, 5], [v = -1, And(-1 < u,u < 0)
, x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), (y-u^2+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, 7
, 1], [v = -1, u = 0, And(-1 < x,x < 0), x+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2], [3, 3], [-3, -3]]]], [[4, 8, 5
, 7, 2], [v = -1, u = 0, And(-1 < x,x < 0), x+2 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2], [3, 3], [-7846825/4194304, -\
980853/524288]]]], [[4, 8, 5, 7, 3], [v = -1, u = 0, And(-1 < x,x < 0), x+2 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [0, 0],
[-1/2, -1/2], [3, 3], [0, 0]]]], [[4, 8, 5, 7, 4], [v = -1, u = 0, And(-1 < x,
x < 0), x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-1/2, -\
1/2], [3, 3], [980853/524288, 1961707/1048576]]]], [[4, 8, 5, 7, 5], [v = -1,
u = 0, And(-1 < x,x < 0), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1]
, [0, 0], [-1/2, -1/2], [3, 3], [3, 3]]]], [[4, 14, 8, 1, 1], [v = -1, u = 3^(
1/2), x = 1, y < 0, z = z], [regular_chain, [[-1, -1], [908093/524288, 1816187
/1048576], [1, 1], [-1, -1], [0, 0]]]], [[5, 1, 1, 6, 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, 6, 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
, 6, 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, 6, 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, 6, 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, 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],
[-848315/1048576, -3393259/4194304], [-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], [-848315/1048576, -\
3393259/4194304], [-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], [-848315/1048576, -3393259/4194304], [-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], [-\
848315/1048576, -3393259/4194304], [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], [-\
848315/1048576, -3393259/4194304], [2, 2]]]], [[5, 6, 6, 3, 1], [And(-1 < v,v
< 0), u = v, x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[-1/2, -1/2], [
-1/2, -1/2], [1, 1], [1/2, 1/2], [0, 0]]]], [[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 = x, z < 0], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1672995/
2097152, -1672995/2097152], [-1672995/2097152, -1672995/2097152], [-1, -1]]]],
[[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 = x, z = 0], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [-1672995/
2097152, -1672995/2097152], [0, 0]]]], [[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 = x, 0 < z], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1672995/
2097152, -1672995/2097152], [-1672995/2097152, -1672995/2097152], [1, 1]]]], [
[5, 10, 9, 5, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), 1 < x, And(x < y,y <
x+2), z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 
146543/131072], [2, 2], [3, 3], [-2, -2]]]], [[5, 10, 9, 5, 2], [And(-1 < v,v
< 0), u = (v^2+1)^(1/2), 1 < x, And(x < y,y < x+2), z = -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [2, 2], [3, 3]
, [-1, -1]]]], [[5, 10, 9, 5, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), 1 < x
, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[-1/2, -1/2], [1172343/1048576, 146543/131072], [2, 2], [3, 3], [0, 0]]]], [[
5, 10, 9, 5, 4], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), 1 < x, And(x < y,y < x
+2), z = (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543
/131072], [2, 2], [3, 3], [1, 1]]]], [[5, 10, 9, 5, 5], [And(-1 < v,v < 0), u
= (v^2+1)^(1/2), 1 < x, And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain,
[[-1/2, -1/2], [1172343/1048576, 146543/131072], [2, 2], [3, 3], [2, 2]]]], [[
6, 1, 8, 5, 1], [v = 0, u < -2^(1/2), x = 1, And(0 < y,y < 1), 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 < -2*u^2, z = z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-2576463/
1048576, -1288231/524288], [-4, -4], [0, 0]]]], [[6, 9, 5, 3, 1], [v = 0, And(
1 < u,u < 2^(1/2)), And(-1 < x,x < 0), And(x-u^2+1 < y,y < x), z = z], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [-\
24446187/33554432, -24446187/33554432], [0, 0]]]], [[6, 10, 7, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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 < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [0, 0], [1291597
/524288, 2583195/1048576], [-3, -3]]]], [[7, 3, 6, 6, 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], [1291597/524288, 2583195/1048576], [-3291611/2097152, -1645805/1048576]]
]], [[7, 3, 6, 6, 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], [
1291597/524288, 2583195/1048576], [0, 0]]]], [[7, 3, 6, 6, 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], [1291597/524288, 2583195/1048576], [1645805/1048576, 822903/524288]]]]
, [[7, 3, 6, 6, 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], [1291597/524288, 2583195/1048576],
[3, 3]]]], [[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 = -u^2+v^2-1, z < 0], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-736367/524288, -1472733/1048576], [-\
736367/524288, -1472733/1048576], [-1, -1]]]], [[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 = -u^2+v^2-1, z = 0],
[regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-736367/
524288, -1472733/1048576], [-736367/524288, -1472733/1048576], [0, 0]]]], [[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 = -u^2+v^2-1, 0 < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-736367/524288, -1472733/1048576], [-736367/524288, -\
1472733/1048576], [1, 1]]]], [[8, 1, 10, 1, 1], [v = 1, u < -3^(1/2), x = u^2-\
2, y < 0, z = z], [regular_chain, [[1, 1], [-3, -3], [7, 7], [-1, -1], [0, 0]]
]], [[8, 3, 3, 4, 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, 4, 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, 4, 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, 9, 1], [v = 1, And
(-1 < u,u < 0), And(-u^2 < x,x < 0), x-u^2+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [3, 3], [-3, -3]]]], [[8,
7, 7, 9, 2], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), x-u^2+2 < y, z =
-(y-x)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [3, 3], [-\
7414553/4194304, -926819/524288]]]], [[8, 7, 7, 9, 3], [v = 1, And(-1 < u,u <
0), And(-u^2 < x,x < 0), x-u^2+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [3, 3], [0, 0]]]], [[8, 7
, 7, 9, 4], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), x-u^2+2 < y, z = (
y-x)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [3, 3], [
926819/524288, 1853639/1048576]]]], [[8, 7, 7, 9, 5], [v = 1, And(-1 < u,u < 0
), And(-u^2 < x,x < 0), x-u^2+2 < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1]
, [-1/2, -1/2], [-1/8, -1/8], [3, 3], [3, 3]]]], [[8, 9, 3, 1, 1], [v = 1, And
(0 < u,u < 1), And(u^2-2 < x,x < -1), y < x, z = z], [regular_chain, [[1, 1],
[1/2, 1/2], [-11/8, -11/8], [-3, -3], [0, 0]]]], [[8, 15, 4, 9, 1], [v = 1, 3^
(1/2) < u, x = -1, u^2-1 < y, z < -(y+1)^(1/2)], [regular_chain, [[1, 1], [3,
3], [-1, -1], [9, 9], [-5, -5]]]], [[8, 15, 4, 9, 2], [v = 1, 3^(1/2) < u, x =
-1, u^2-1 < y, z = -(y+1)^(1/2)], [regular_chain, [[1, 1], [3, 3], [-1, -1], [
9, 9], [-3315889/1048576, -207243/65536]]]], [[8, 15, 4, 9, 3], [v = 1, 3^(1/2
) < u, x = -1, u^2-1 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[1, 1], [3, 3], [-1, -1], [9, 9], [0, 0]]]], [[8, 15, 4, 9, 4]
, [v = 1, 3^(1/2) < u, x = -1, u^2-1 < y, z = (y+1)^(1/2)], [regular_chain, [[
1, 1], [3, 3], [-1, -1], [9, 9], [207243/65536, 3315889/1048576]]]], [[8, 15,
4, 9, 5], [v = 1, 3^(1/2) < u, x = -1, u^2-1 < y, (y+1)^(1/2) < z], [
regular_chain, [[1, 1], [3, 3], [-1, -1], [9, 9], [5, 5]]]], [[9, 1, 7, 1, 1],
[And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y < x-u^2+v^2+1
, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1/2,
1/2], [-8, -8], [0, 0]]]], [[9, 5, 8, 1, 1], [And(1 < v,v < 2^(1/2)), And(-(v^
2+1)^(1/2) < u,u < -v), x = 0, y < 0, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [0, 0], [-1,
-1], [0, 0]]]], [[9, 7, 4, 7, 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 < -(y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1, -1], [598205/2097152, 598205/2097152], [-3, -3]]]], [[9
, 7, 4, 7, 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 = -(y+1)^(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, 7, 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(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1, -1], [598205/2097152, 598205/2097152], [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(0 < y,y < -u^2+v^2), z = (y+1)^(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, 7, 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), (y+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [598205/2097152, 
598205/2097152], [3, 3]]]], [[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(u^2-v^2+x+1
< y,y < x), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0
], [1527887/2097152, 1527887/2097152], [1/2, 1/2], [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 = 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
], [-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 = 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], [-1374407/2097152, -687203/1048576]]]], [
[9, 11, 4, 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, 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
, 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, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-1, -1], [-598205/1048576, -\
1196409/2097152], [687203/1048576, 171801/262144]]]], [[9, 11, 4, 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, (u^2-v^
2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [-1, -1], [-598205/1048576, -1196409/2097152], [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 = 0, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [775271/
1048576, 775271/1048576], [0, 0], [0, 0]]]], [[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 < -2*u^2+2*v^2, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-4478937/524288,
-8957873/1048576], [-17, -17], [0, 0]]]], [[10, 5, 9, 6, 1], [v = 2^(1/2), And
(-3^(1/2) < u,u < -v), And(0 < x,x < 1), y = x-u^2+3, z < -(-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [1/2, 1/2], [1075057/1048576, 537529/524288], [-2, -2]]]], [[10, 5,
9, 6, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(0 < x,x < 1), y = x-u^2+
3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [1/2, 1/2], [1075057/1048576, 537529/
524288], [-379975/524288, -1519899/2097152]]]], [[10, 5, 9, 6, 3], [v = 2^(1/2
), And(-3^(1/2) < u,u < -v), And(0 < x,x < 1), y = x-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], [1/2, 1/2], [1075057/1048576, 537529/
524288], [-1/4194304, -1/4194304]]]], [[10, 5, 9, 6, 4], [v = 2^(1/2), And(-3^
(1/2) < u,u < -v), And(0 < x,x < 1), y = x-u^2+3, z = (-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [1/2, 1/2], [1075057/1048576, 537529/524288], [759949/1048576, 
379975/524288]]]], [[10, 5, 9, 6, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v),
And(0 < x,x < 1), y = x-u^2+3, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [1/2, 1/2], [
1075057/1048576, 537529/524288], [2, 2]]]], [[10, 7, 6, 1, 1], [v = 2^(1/2), 
And(-v < u,u < -1), x = -u^2+1, y < -u^2+1, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-479311/
1048576, -239655/524288], [-2, -2], [0, 0]]]], [[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-1 < 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, 2, 2, 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], [-\
3235683/2097152, -1617841/1048576], [-1, -1]]]], [[10, 13, 2, 2, 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], [-3235683/2097152, -1617841/1048576], [0, 0]]]], [
[10, 13, 2, 2, 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], [-3235683/2097152, -\
1617841/1048576], [1, 1]]]], [[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 < -y^(1/2)], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [0, 0], [4, 4],
[-3, -3]]]], [[11, 3, 6, 7, 2], [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 = -y^(1/2)], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [0, 0], [4, 4], [-2, -2]]]], [[11, 3, 6, 7
, 3], [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, 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, 7, 4], [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
= y^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [0,
0], [4, 4], [2, 2]]]], [[11, 3, 6, 7, 5], [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, y^(1/2) < z], [regular_chain, [[3,
3], [-3396811/1048576, -3396811/1048576], [0, 0], [4, 4], [3, 3]]]], [[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 = 0,
z < -(-x)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [
-3, -3], [0, 0], [-3, -3]]]], [[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 = 0, z = -(-x)^(1/2)], [regular_chain, [[3,
3], [-403851/131072, -403851/131072], [-3, -3], [0, 0], [-1816187/1048576, -\
3632373/2097152]]]], [[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 = 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, 8, 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, 8, 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, 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
< -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369
/8388608], [0, 0], [2630187/1048576, 657547/262144], [-3, -3]]]], [[11, 9, 6,
6, 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], [2630187/1048576, 657547/262144], [-\
3321417/2097152, -415177/262144]]]], [[11, 9, 6, 6, 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], [2630187/1048576, 657547/262144], [0, 0]]]], [[
11, 9, 6, 6, 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], [2630187/1048576, 657547/262144]
, [415177/262144, 1660709/1048576]]]], [[11, 9, 6, 6, 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
], [2630187/1048576, 657547/262144], [3, 3]]]], [[11, 10, 8, 7, 1], [2^(1/2) <
v, u = -(v^2-2)^(1/2), x = 1, 4 < y, z < -(y-1)^(1/2)], [regular_chain, [[3, 3
], [-5548543/2097152, -2774271/1048576], [1, 1], [5, 5], [-3, -3]]]], [[11, 10
, 8, 7, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 1, 4 < y, z = -(y-1)^(1/2)],
[regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [1, 1], [5, 5],
[-2, -2]]]], [[11, 10, 8, 7, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 1, 4 <
y, 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, 7, 4], [2^
(1/2) < v, u = -(v^2-2)^(1/2), x = 1, 4 < y, z = (y-1)^(1/2)], [regular_chain,
[[3, 3], [-5548543/2097152, -2774271/1048576], [1, 1], [5, 5], [2, 2]]]], [[11
, 10, 8, 7, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 1, 4 < y, (y-1)^(1/2) <
z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [1, 1], [5,
5], [3, 3]]]], [[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], [-1579769/1048576, -3159537/
2097152], [-3, -3]]]], [[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], [-1579769/
1048576, -3159537/2097152], [-1281417/1048576, -160177/131072]]]], [[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], [-1579769/1048576, -3159537/
2097152], [0, 0]]]], [[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], [-1579769/1048576, -\
3159537/2097152], [160177/131072, 1281417/1048576]]]], [[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], [-1579769/1048576, -3159537/2097152], [3, 3]]]], [[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 = 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, 8, 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, 8, 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, 8, 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, 8
, 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, 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 = x, z < 0], [regular_chain, [[-3, -3], [-3396811
/1048576, -3396811/1048576], [-1/2, -1/2], [-1/2, -1/2], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-3, -3], [-3396811/1048576, -\
3396811/1048576], [-1/2, -1/2], [-1/2, -1/2], [0, 0]]]], [[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 =
x, 0 < z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-\
1/2, -1/2], [-1/2, -1/2], [1, 1]]]], [[1, 7, 9, 9, 1], [v < -2^(1/2), And(v <
u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [4
, 4], [-3, -3]]]], [[1, 7, 9, 9, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/
2)), And(0 < x,x < 1), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-\
3, -3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [4, 4], [-7846825/
4194304, -980853/524288]]]], [[1, 7, 9, 9, 3], [v < -2^(1/2), And(v < u,u < -(
v^2-1)^(1/2)), And(0 < x,x < 1), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-
x)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [
1/2, 1/2], [4, 4], [0, 0]]]], [[1, 7, 9, 9, 4], [v < -2^(1/2), And(v < u,u < -
(v^2-1)^(1/2)), And(0 < x,x < 1), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [4
, 4], [980853/524288, 1961707/1048576]]]], [[1, 7, 9, 9, 5], [v < -2^(1/2), 
And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), x-u^2+v^2+1 < y, (y-x)^(1/2)
< z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1/2, 1
/2], [4, 4], [3, 3]]]], [[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 < x), z = z],
[regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2
], [-1581611/2097152, -1581611/2097152], [0, 0]]]], [[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 = x, z < 0
], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-657289/
524288, -657289/524288], [-657289/524288, -657289/524288], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-657289/524288, -657289/524288], [-657289/524288, -657289/524288],
[0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-657289/524288, -657289/524288], [-657289/524288,
-657289/524288], [1, 1]]]], [[1, 16, 7, 1, 1], [v < -2^(1/2), u = -v, 1 < x, y
< 0, z = z], [regular_chain, [[-3, -3], [3, 3], [2, 2], [-1, -1], [0, 0]]]], [
[1, 21, 1, 1, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y < x-u^2+
v^2+1, z = z], [regular_chain, [[-3, -3], [5, 5], [-18, -18], [-34, -34], [0,
0]]]], [[2, 1, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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,
3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 16, 9, 3, 1], [v = -2^(1/2
), u = 3^(1/2), 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [908093/524288, 1816187/1048576], [2, 2], [1, 1], [0
, 0]]]], [[2, 18, 3, 1, 1], [v = -2^(1/2), u = 2, And(-3 < x,x < -1), y < x-1,
z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-2, -2],
[-4, -4], [0, 0]]]], [[3, 4, 9, 5, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)
^(1/2), 1 < x, And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [2, 2]
, [3, 3], [-2, -2]]]], [[3, 4, 9, 5, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+
1)^(1/2), 1 < x, And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [2, 2]
, [3, 3], [-1, -1]]]], [[3, 4, 9, 5, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+
1)^(1/2), 1 < x, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [2, 2], [3, 3], [0, 0]]]], [[3, 4, 9, 5, 4], [And(-2^(1/2) <
v,v < -1), u = -(v^2+1)^(1/2), 1 < x, And(x < y,y < x+2), z = (y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [2, 2], [3, 3], [1, 1]]]], [[3, 4, 9, 5, 5], [And(-2^(1/2) <
v,v < -1), u = -(v^2+1)^(1/2), 1 < x, And(x < y,y < x+2), (y-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [2, 2], [3, 3], [2, 2]]]], [[3, 6, 3, 7, 1], [And(-2^(1/2) <
v,v < -1), u = v, And(-1 < x,x < 0), x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-1/2, -1/2], [2, 2], [-3, -3]]]], [[3, 6, 3, 7, 2], [And(-2
^(1/2) < v,v < -1), u = v, And(-1 < x,x < 0), x+1 < y, z = -(y-x)^(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, 7, 3], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 0), x+1 < y
, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [2, 2],
[0, 0]]]], [[3, 6, 3, 7, 4], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x <
0), x+1 < y, z = (y-x)^(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, 7, 5], [And(-2^(1/2) < v,v < -1), u =
v, And(-1 < x,x < 0), x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2]
, [2, 2], [3, 3]]]], [[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+1, 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, 6, 2], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 0), y = x+1,
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,
6, 3], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 0), y = x+1, 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, 6,
4], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 0), y = x+1, 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, 6, 5], [And
(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 0), y = x+1, 1 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-1/2, -1/2], [1/2, 1/2], [2, 2]]]], [[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(u^2-v^2+x+1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [-4, -4], [-\
3190373/4194304, -3190373/4194304], [-3, -3]]]], [[3, 15, 1, 7, 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 < 0), z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [898327/524288, 898327/524288], [-4, -4], [-3190373/
4194304, -3190373/4194304], [-7548997/4194304, -1887249/1048576]]]], [[3, 15,
1, 7, 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 < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/
2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 
898327/524288], [-4, -4], [-3190373/4194304, -3190373/4194304], [0, 0]]]], [[3
, 15, 1, 7, 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 < 0), z = (y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-4, -4], [-3190373/4194304, -3190373/4194304], [1887249/1048576, 
943625/524288]]]], [[3, 15, 1, 7, 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 < 0), (y-x)
^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/
524288, 898327/524288], [-4, -4], [-3190373/4194304, -3190373/4194304], [3, 3]
]]], [[3, 16, 4, 3, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -1,
And(-2 < y,y < -1), z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [-1, -1], [-3/2, -3/2], [0, 0]]]],
[[4, 3, 3, 1, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1
), y < x-u^2+2, z = z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195
/4194304], [-1821767/1048576, -1821767/1048576], [-4, -4], [0, 0]]]], [[4, 4,
6, 5, 1], [v = -1, u = -2^(1/2), x = 0, 2 < y, z < -y^(1/2)], [regular_chain,
[[-1, -1], [-1482911/1048576, -741455/524288], [0, 0], [3, 3], [-3, -3]]]], [[
4, 4, 6, 5, 2], [v = -1, u = -2^(1/2), x = 0, 2 < y, z = -y^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [0, 0], [3, 3],
[-1816187/1048576, -3632373/2097152]]]], [[4, 4, 6, 5, 3], [v = -1, u = -2^(1/
2), x = 0, 2 < y, 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, 5, 4], [v = -1, u = -2^(1/2), x = 0, 2 < y, z = y^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [0, 0], [3, 3],
[908093/524288, 1816187/1048576]]]], [[4, 4, 6, 5, 5], [v = -1, u = -2^(1/2),
x = 0, 2 < y, y^(1/2) < z], [regular_chain, [[-1, -1], [-1482911/1048576, -\
741455/524288], [0, 0], [3, 3], [3, 3]]]], [[4, 11, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 5, 1], [v
= -1, u = 2^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [1/2, 1/2], [3/2,
3/2], [-2, -2]]]], [[4, 12, 7, 5, 2], [v = -1, u = 2^(1/2), And(0 < x,x < 1),
And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [741455/
524288, 1482911/1048576], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]], [[4, 12, 7, 5,
3], [v = -1, u = 2^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), And(-(y-x)^(1/
2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[4, 12, 7, 5, 4], [v = -1, u = 2
^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain
, [[-1, -1], [741455/524288, 1482911/1048576], [1/2, 1/2], [3/2, 3/2], [1, 1]]
]], [[4, 12, 7, 5, 5], [v = -1, u = 2^(1/2), And(0 < x,x < 1), And(x < y,y < x
+2), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[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 < -y^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3, -3], [0, 0], [39/8, 39/8], [-4, -4]]]], [[5
, 1, 6, 5, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = 0, And(0 < y,y < u^
2-v^2+1), 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, 5, 3], [And(-1 <
v,v < 0), u < -(v^2+2)^(1/2), x = 0, And(0 < y,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], [39/8, 39/8]
, [0, 0]]]], [[5, 1, 6, 5, 4], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = 0,
And(0 < y,y < u^2-v^2+1), 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, 5, 5
], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = 0, And(0 < y,y < u^2-v^2+1), y^
(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3, -3], [0, 0], [39/8, 39/8], [4,
4]]]], [[5, 2, 9, 3, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), 1 < x, And(0
< y,y < x-1), z = z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [2, 2], [1/
2, 1/2], [0, 0]]]], [[5, 13, 1, 1, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u,
x < -u^2+v^2-1, y < x-u^2+v^2+1, z = z], [regular_chain, [[-1/2, -1/2], [3, 3]
, [-11, -11], [-20, -20], [0, 0]]]], [[6, 1, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 2, 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, 2, 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, 2, 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, 3, 1], [v = 0, And(0 < u,u < 1), x < -u^2-1, And(x < y,y < x-u^2+1), z <
-(y-x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [-21/8, -21/8],
[-2, -2]]]], [[6, 7, 1, 3, 2], [v = 0, And(0 < u,u < 1), x < -u^2-1, And(x < y
,y < x-u^2+1), z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3, -3
], [-21/8, -21/8], [-1284239/2097152, -642119/1048576]]]], [[6, 7, 1, 3, 3], [
v = 0, And(0 < u,u < 1), x < -u^2-1, And(x < y,y < x-u^2+1), And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [-21/8,
-21/8], [0, 0]]]], [[6, 7, 1, 3, 4], [v = 0, And(0 < u,u < 1), x < -u^2-1, And
(x < y,y < x-u^2+1), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-\
3, -3], [-21/8, -21/8], [642119/1048576, 80265/131072]]]], [[6, 7, 1, 3, 5], [
v = 0, And(0 < u,u < 1), x < -u^2-1, And(x < y,y < x-u^2+1), (y-x)^(1/2) < z],
[regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [-21/8, -21/8], [2, 2]]]], [[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 =
z], [regular_chain, [[1/2, 1/2], [-3, -3], [1, 1], [-27/4, -27/4], [0, 0]]]],
[[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(u^2-v^2+x+1 < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-4, -4], [-\
3222219/4194304, -3222219/4194304], [-3, -3]]]], [[7, 3, 1, 7, 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 < 0), z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [-4, -4], [-3222219/4194304, -3222219/4194304], [-\
7540145/4194304, -471259/262144]]]], [[7, 3, 1, 7, 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
< 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [-4, -4], [-3222219/4194304, -3222219/4194304]
, [0, 0]]]], [[7, 3, 1, 7, 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 < 0), z = (y-x)^(1/2)],
[regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-4, -4], [-\
3222219/4194304, -3222219/4194304], [471259/262144, 1885037/1048576]]]], [[7,
3, 1, 7, 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 < 0), (y-x)^(1/2) < z], [regular_chain, [[
1/2, 1/2], [-343151/262144, -343151/262144], [-4, -4], [-3222219/4194304, -\
3222219/4194304], [3, 3]]]], [[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-u^2+v^2+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, 8, 2], [And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1
), y = x-u^2+v^2+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
, 8, 3], [And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1), y =
x-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], [-7/8, -7/8], [3/8, 3/8], [0, 0]]]], [[7,
7, 5, 8, 4], [And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1),
y = x-u^2+v^2+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, 8, 5
], [And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = x-u^2
+v^2+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, 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 = x, z < 0], [regular_chain, [
[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-2521309/2097152, -2521309/
2097152], [-1260655/1048576, -630327/524288], [-1, -1]]]], [[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
= x, z = 0], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152],
[-2521309/2097152, -2521309/2097152], [-1260655/1048576, -630327/524288], [0,
0]]]], [[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 = x, 0 < z], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [-1260655/
1048576, -630327/524288], [1, 1]]]], [[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 = 0, z = z]
, [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [243021/1048576
, 243021/1048576], [0, 0], [0, 0]]]], [[7, 12, 9, 5, 1], [And(0 < v,v < 1), u
= (v^2+2)^(1/2), 1 < x, And(x-1 < y,y < 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, 2*u^2-2 < y, z < -(y-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [248903/524288,
497807/1048576], [4, 4], [-3, -3]]]], [[8, 3, 8, 7, 2], [v = 1, And(-3^(1/2) <
u,u < -2^(1/2)), x = u^2-2, 2*u^2-2 < y, z = -(y-u^2+2)^(1/2)], [regular_chain
, [[1, 1], [-6598195/4194304, -6598195/4194304], [248903/524288, 497807/
1048576], [4, 4], [-15750167/8388608, -7875083/4194304]]]], [[8, 3, 8, 7, 3],
[v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2, 2*u^2-2 < y, And(-(y-u^2+2)
^(1/2) < z,z < (y-u^2+2)^(1/2))], [regular_chain, [[1, 1], [-6598195/4194304,
-6598195/4194304], [248903/524288, 497807/1048576], [4, 4], [-3/8388608, -3/
8388608]]]], [[8, 3, 8, 7, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = u^2
-2, 2*u^2-2 < y, z = (y-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [248903/524288, 497807/1048576], [4, 4], [984385/
524288, 1968771/1048576]]]], [[8, 3, 8, 7, 5], [v = 1, And(-3^(1/2) < u,u < -2
^(1/2)), x = u^2-2, 2*u^2-2 < y, (y-u^2+2)^(1/2) < z], [regular_chain, [[1, 1]
, [-6598195/4194304, -6598195/4194304], [248903/524288, 497807/1048576], [4, 4
], [3, 3]]]], [[8, 5, 3, 8, 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], [239655/1048576, 29957
/131072], [-3, -3]]]], [[8, 5, 3, 8, 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], [239655/
1048576, 29957/131072], [-1265743/1048576, -1265743/1048576]]]], [[8, 5, 3, 8,
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], [239655/1048576, 29957/131072], [0, 0]]]],
[[8, 5, 3, 8, 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], [239655/1048576, 29957/131072], [1265743
/1048576, 1265743/1048576]]]], [[8, 5, 3, 8, 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], [
239655/1048576, 29957/131072], [3, 3]]]], [[8, 11, 9, 3, 1], [v = 1, And(1 < u
,u < 2^(1/2)), And(0 < x,x < 1), And(0 < y,y < x), z = z], [regular_chain, [[1
, 1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [
[8, 13, 4, 2, 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], [
-773191/524288, -1546381/1048576], [0, 0]]]], [[9, 2, 1, 4, 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, 4, 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, 4, 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, 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(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(
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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(
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 < u^2-v^2+1), z < -y^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [1454701/1048576, 1454701/1048576], [0, 0], [1, 1], [-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 < u^2-v^2+1), z = -y^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [0, 0],
[1, 1], [-1, -1]]]], [[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 < 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], [1, 1], [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
< u^2-v^2+1), z = y^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [1454701/1048576, 1454701/1048576], [0, 0], [1, 1], [1, 1]]]], [[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 < u^2-v^2+1), y^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [0, 0], [1, 1], [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 = 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, 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 = 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, 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 = 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, 6, 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, 6, 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, 1, 11, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 4, 9
, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, u^2-2 < y, z < -(y+1)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [-1, -1], [3, 3], [-3, -3]]]], [[10, 3, 4, 9, 2], [v = 2^(1/
2), And(-2 < u,u < -3^(1/2)), x = -1, u^2-2 < y, z = -(y+1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-1, -1], [3, 3], [-2, -2]]]], [[10, 3, 4, 9, 3], [v = 2^(1/2), And(
-2 < u,u < -3^(1/2)), x = -1, u^2-2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))
], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [-1, -1], [3, 3], [0, 0]]]], [[10, 3, 4, 9, 4], [v = 2^(1/2)
, And(-2 < u,u < -3^(1/2)), x = -1, u^2-2 < y, z = (y+1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-1, -1], [3, 3], [2, 2]]]], [[10, 3, 4, 9, 5], [v = 2^(1/2), And(-2
< u,u < -3^(1/2)), x = -1, u^2-2 < y, (y+1)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1, -1
], [3, 3], [3, 3]]]], [[10, 9, 8, 6, 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, 6, 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, 6
, 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, 6, 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,
6, 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, 7, 1], [v = 2^(1/2), And(0 < u,u <
1), x < u^2-3, And(x-u^2+3 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [-4, -4], [-5/8, -5/8], [-3, -3]]
]], [[10, 11, 1, 7, 2], [v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, And(x-u^2+3
< y,y < 0), z = -(y-x)^(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, 7, 3], [v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, 
And(x-u^2+3 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-4, -4], [-5/8, -5/8], [0, 0
]]]], [[10, 11, 1, 7, 4], [v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, And(x-u^2
+3 < y,y < 0), z = (y-x)^(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, 7, 5], [v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, And(x-u^2+
3 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [-4, -4], [-5/8, -5/8], [3, 3]]]], [[10, 15, 6, 5, 1], [
v = 2^(1/2), And(v < u,u < 3^(1/2)), x = u^2-3, And(0 < y,y < 2*u^2-4), z < -(
y-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-1101541/2097152, -275385/524288], [995611/2097152
, 995611/2097152], [-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 < 2*u^2-4), z = -(y-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-1101541/2097152, -275385/524288], [995611/2097152, 995611/2097152]
, [-8796092628879/8796093022208, -17592185257757/17592186044416]]]], [[10, 15,
6, 5, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = u^2-3, And(0 < y,y < 2*u^2
-4), And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+3)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-1101541/
2097152, -275385/524288], [995611/2097152, 995611/2097152], [-15990557/
35184372088832, -15990557/35184372088832]]]], [[10, 15, 6, 5, 4], [v = 2^(1/2)
, And(v < u,u < 3^(1/2)), x = u^2-3, And(0 < y,y < 2*u^2-4), z = (y-u^2+3)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-1101541/2097152, -275385/524288], [995611/2097152, 995611/
2097152], [1048575/1048576, 1]]]], [[10, 15, 6, 5, 5], [v = 2^(1/2), And(v < u
,u < 3^(1/2)), x = u^2-3, And(0 < y,y < 2*u^2-4), (y-u^2+3)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-1101541/2097152, -275385/524288], [995611/2097152, 995611/2097152]
, [2, 2]]]], [[10, 17, 1, 6, 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], [-1591685/
1048576, -3183369/2097152], [-3, -3]]]], [[10, 17, 1, 6, 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], [-1591685/1048576, -3183369/2097152], [-825991/524288, -\
3303963/2097152]]]], [[10, 17, 1, 6, 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], [-1591685/1048576, -3183369/2097152], [-1/4194304, -1/
4194304]]]], [[10, 17, 1, 6, 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], [-1591685/1048576, -\
3183369/2097152], [1651981/1048576, 825991/524288]]]], [[10, 17, 1, 6, 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], [-1591685/1048576, -3183369/2097152], [3, 3]]]], [[10, 19
, 4, 3, 1], [v = 2^(1/2), 2 < u, x = -1, And(-u^2+2 < y,y < -1), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1, -1], [-4, -4],
[0, 0]]]], [[11, 1, 6, 2, 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, 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 = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [0, 0], [-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 = 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, 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 = 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, 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 = 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, 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 = 0, (-x)^(1/2) < z], [regular_chain, [[3,
3], [-403851/131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [0
, 0], [2, 2]]]], [[11, 7, 4, 1, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2
)), x = -1, y < -1, z = z], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-1, -1], [-2, -2], [0, 0]]]], [[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], [-5260377/2097152, -657547/262144], [-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], [-5260377/2097152, -\
657547/262144], [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],
[-5260377/2097152, -657547/262144], [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 < -2*u^2+2*v^2, z = z], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [-2615197/1048576, -653799/262144], [-4, -4], [0, 0]]]], [[
11, 20, 4, 2, 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, 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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1062385/4194304,
-1062385/4194304], [66399/262144, 265597/1048576], [-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
= x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [66399/262144,
265597/1048576], [-373161/524288, -1492643/2097152]]]], [[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 = x-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], [-1062385/4194304, -1062385/4194304
], [66399/262144, 265597/1048576], [-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
= x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [66399/262144,
265597/1048576], [746321/1048576, 373161/524288]]]], [[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 = x-u^2+v^2
+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-1062385/4194304, -1062385/4194304], [66399/262144, 265597/
1048576], [2, 2]]]], [[1, 7, 4, 7, 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 < -(y+1)^(1/2)], [regular_chain, [[-\
3, -3], [-6111549/2097152, -6111549/2097152], [-1, -1], [133001/524288, 133001
/524288], [-3, -3]]]], [[1, 7, 4, 7, 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 = -(y+1)^(1/2)], [regular_chain, [
[-3, -3], [-6111549/2097152, -6111549/2097152], [-1, -1], [133001/524288, 
133001/524288], [-293517/262144, -1174067/1048576]]]], [[1, 7, 4, 7, 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(
-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-1, -1], [133001/524288, 133001/524288], [0, 0]]]
], [[1, 7, 4, 7, 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 = (y+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-1, -1], [133001/524288, 133001/524288], [1174067
/1048576, 293517/262144]]]], [[1, 7, 4, 7, 5], [v < -2^(1/2), And(v < u,u < -(
v^2-1)^(1/2)), x = -1, And(0 < y,y < -u^2+v^2), (y+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-1, -1], [
133001/524288, 133001/524288], [3, 3]]]], [[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(x < y,y < 0)
, z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y <
0), (y-x)^(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 < 0, z = z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [1, 1
], [-1, -1], [0, 0]]]], [[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(-2*u^2+2*v^2 < y,y < -u^2+v^2-1), z
= z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-2615197
/1048576, -653799/262144], [-183949995/67108864, -183949995/67108864], [0, 0]]
]], [[1, 20, 4, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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-1, z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-3651195/2097152, -3651195/2097152], [777021/1048576, 
388511/524288], [-3, -3]]]], [[2, 3, 3, 8, 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], [777021/1048576, 
388511/524288], [-825991/524288, -3303963/2097152]]]], [[2, 3, 3, 8, 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], [777021/1048576, 388511/524288], [-1/4194304, -1/4194304]]]]
, [[2, 3, 3, 8, 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], [777021/1048576, 388511/524288], [1651981/1048576, 825991/
524288]]]], [[2, 3, 3, 8, 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], [777021/1048576, 388511/524288], [3, 3]]]], [[2, 4
, 7, 7, 1], [v = -2^(1/2), u = -3^(1/2), And(0 < x,x < 1), x+2 < y, z < -(y-x)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/
1048576, -3632373/2097152], [1/2, 1/2], [4, 4], [-3, -3]]]], [[2, 4, 7, 7, 2],
[v = -2^(1/2), u = -3^(1/2), And(0 < x,x < 1), x+2 < y, z = -(y-x)^(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, 7, 3], [v = -2^(1/2), u = -3^(1/2), And(0 < x,x < 1), x+2 < y, And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455
/524288], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [4, 4], [0, 0]]]],
[[2, 4, 7, 7, 4], [v = -2^(1/2), u = -3^(1/2), And(0 < x,x < 1), x+2 < y, z =
(y-x)^(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, 7, 5], [v = -2^(1/2), u = -3^(1/2), And(0 < x,x < 1),
x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [4, 4], [3, 3]]]], [[2, 7,
4, 8, 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], [569265/1048576, 284633/524288], [-3, -3]]]], [
[2, 7, 4, 8, 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], [569265/1048576, 284633/524288], [-\
1302471/1048576, -651235/524288]]]], [[2, 7, 4, 8, 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], [569265/1048576, 284633/524288], [0, 0]]]], [[2, 7
, 4, 8, 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], [569265/1048576, 284633/524288], [651235
/524288, 1302471/1048576]]]], [[2, 7, 4, 8, 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], [
569265/1048576, 284633/524288], [3, 3]]]], [[2, 8, 9, 2, 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, 13, 1, 2, 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, 2, 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, 2, 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, 4, 4, 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, 4, 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, 4
, 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, 4, 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, 4, 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,
4, 9, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = -1, u^2-v^2 < y,
z < -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3,
-3], [-1, -1], [9, 9], [-5, -5]]]], [[3, 1, 4, 9, 2], [And(-2^(1/2) < v,v < -1
), u < -(v^2+2)^(1/2), x = -1, u^2-v^2 < y, z = -(y+1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [9, 9], [-3315889/
1048576, -207243/65536]]]], [[3, 1, 4, 9, 3], [And(-2^(1/2) < v,v < -1), u < -
(v^2+2)^(1/2), x = -1, u^2-v^2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [9,
9], [0, 0]]]], [[3, 1, 4, 9, 4], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2)
, x = -1, u^2-v^2 < y, z = (y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [-1, -1], [9, 9], [207243/65536, 3315889/1048576]]
]], [[3, 1, 4, 9, 5], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = -1, u
^2-v^2 < y, (y+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [-1, -1], [9, 9], [5, 5]]]], [[3, 2, 7, 5, 1], [And(-2^(1/
2) < v,v < -1), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(0 < y,y < 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, 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 < x, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [-3,
-3], [0, 0]]]], [[3, 8, 6, 5, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2
), x = 0, 2 < y, z < -y^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [0, 0], [3, 3], [-3, -3]]]], [[3
, 8, 6, 5, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 0, 2 < y, 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, 5, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 0, 2
< y, 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, 5, 4], [And(-2^(1/2) < v,v < -1), u = -(v^
2-1)^(1/2), x = 0, 2 < y, 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, 5, 5], [And(-2^(1/2) < v,v < -1), u =
-(v^2-1)^(1/2), x = 0, 2 < y, y^(1/2) < z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-1417877/2097152, -354469/524288], [0, 0], [3, 3], [3, 3
]]]], [[4, 1, 4, 5, 1], [v = -1, u < -3^(1/2), x = -1, And(-1 < y,y < 0), z <
-(y+1)^(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(-1 < y,y < 0),
z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y
< 0), (y+1)^(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-1, z = z], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152]
, [1/2, 1/2], [-2, -2], [0, 0]]]], [[4, 7, 2, 2, 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, 2, 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, 2, 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, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 8, 2, 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, 1, 7, 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 < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1
/2], [-3, -3], [-11, -11], [-5/8, -5/8], [-5, -5]]]], [[5, 1, 1, 7, 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 < 0),
z = -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-11, -11], [-5/8,
-5/8], [-1688745/524288, -3377489/1048576]]]], [[5, 1, 1, 7, 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 < 0), And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3, -3], [-11,
-11], [-5/8, -5/8], [0, 0]]]], [[5, 1, 1, 7, 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 < 0), z = (y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-11, -11], [-5/8, -5/8], [3377489/
1048576, 1688745/524288]]]], [[5, 1, 1, 7, 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 < 0), (y-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-11, -11], [-5/8, -5/8], [5, 5]]]], [
[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(-u^2+v^2-1 < 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], [-290131/262144, -290131/262144], [-2, -2]]]], [[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(-u^2+v^2-1 < 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], [-290131/262144, -290131/262144], [-1144335/2097152
, -572167/1048576]]]], [[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(-u^2+v^2-1 < 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], [-\
290131/262144, -290131/262144], [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(-u^2+v^2-1 < 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], [-290131/
262144, -290131/262144], [572167/1048576, 71521/131072]]]], [[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(-u^2+v^
2-1 < 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]
, [-290131/262144, -290131/262144], [2, 2]]]], [[5, 6, 6, 2, 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, 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(x < y,y < x-u^2+v^2+1), z <
-(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [-1672995/2097152, -1672995/2097152], [-2097153/4194304, -2097153/
4194304], [-2, -2]]]], [[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(x < y,y < x-u^2+v^2+1), z = -(y-x
)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [
-1672995/2097152, -1672995/2097152], [-2097153/4194304, -2097153/4194304], [-\
1144335/2097152, -572167/1048576]]]], [[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(x < y,y < x-u^2+
v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2],
[1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [-\
2097153/4194304, -2097153/4194304], [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(x < y,y <
x-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [-2097153/
4194304, -2097153/4194304], [572167/1048576, 71521/131072]]]], [[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(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2]
, [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [-\
2097153/4194304, -2097153/4194304], [2, 2]]]], [[5, 10, 9, 6, 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, 6, 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, 6, 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, 6, 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, 6,
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, 8, 4, 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, 9, 1],
[v = 0, And(-2^(1/2) < u,u < -1), x < -u^2-1, 0 < y, z < -(y-x)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-4, -4], [1, 1]
, [-4, -4]]]], [[6, 3, 1, 9, 2], [v = 0, And(-2^(1/2) < u,u < -1), x < -u^2-1,
0 < y, z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743
/1048576], [-4, -4], [1, 1], [-146543/65536, -2344687/1048576]]]], [[6, 3, 1,
9, 3], [v = 0, And(-2^(1/2) < u,u < -1), x < -u^2-1, 0 < y, And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [-4, -4], [1, 1], [0, 0]]]], [[6, 3, 1, 9, 4], [v = 0, And(-2^(1/2)
< u,u < -1), x < -u^2-1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [-4, -4], [1, 1], [2344687/1048576, 146543
/65536]]]], [[6, 3, 1, 9, 5], [v = 0, And(-2^(1/2) < u,u < -1), x < -u^2-1, 0
< y, (y-x)^(1/2) < z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [-4, -4], [1, 1], [4, 4]]]], [[6, 9, 5, 4, 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,
4, 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, 4, 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, 9, 1], [v = 0, u
= 2^(1/2), And(0 < x,x < 1), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[0,
0], [741455/524288, 1482911/1048576], [1/2, 1/2], [5, 5], [-4, -4]]]], [[6, 10
, 7, 9, 2], [v = 0, u = 2^(1/2), And(0 < x,x < 1), x+3 < y, z = -(y-x)^(1/2)],
[regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [1/2, 1/2], [5, 5],
[-1112183/524288, -2224365/1048576]]]], [[6, 10, 7, 9, 3], [v = 0, u = 2^(1/2)
, And(0 < x,x < 1), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [1/2, 1/2], [5, 5],
[0, 0]]]], [[6, 10, 7, 9, 4], [v = 0, u = 2^(1/2), And(0 < x,x < 1), x+3 < y,
z = (y-x)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [
1/2, 1/2], [5, 5], [2224365/1048576, 1112183/524288]]]], [[6, 10, 7, 9, 5], [v
= 0, u = 2^(1/2), And(0 < x,x < 1), x+3 < y, (y-x)^(1/2) < z], [regular_chain,
[[0, 0], [741455/524288, 1482911/1048576], [1/2, 1/2], [5, 5], [4, 4]]]], [[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 < -y^(1/2)], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [0, 0], [1291597/1048576, 1291597/1048576], [-\
3, -3]]]], [[7, 3, 6, 5, 2], [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 = -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, 5, 3], [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), 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, 5, 4], [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 = 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, 5, 5], [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
), y^(1/2) < z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144]
, [0, 0], [1291597/1048576, 1291597/1048576], [3, 3]]]], [[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 < -u^2+v^2
-1, z = z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152],
[-736367/524288, -1472733/1048576], [-3, -3], [0, 0]]]], [[8, 1, 9, 9, 1], [v
= 1, u < -3^(1/2), And(1 < x,x < u^2-2), u^2+x < y, z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [-3, -3], [4, 4], [14, 14], [-5, -5]]]], [[8, 1, 9, 9,
2], [v = 1, u < -3^(1/2), And(1 < x,x < u^2-2), u^2+x < y, z = -(y-x)^(1/2)],
[regular_chain, [[1, 1], [-3, -3], [4, 4], [14, 14], [-3315889/1048576, -\
207243/65536]]]], [[8, 1, 9, 9, 3], [v = 1, u < -3^(1/2), And(1 < x,x < u^2-2)
, u^2+x < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1],
[-3, -3], [4, 4], [14, 14], [0, 0]]]], [[8, 1, 9, 9, 4], [v = 1, u < -3^(1/2),
And(1 < x,x < u^2-2), u^2+x < y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-\
3, -3], [4, 4], [14, 14], [207243/65536, 3315889/1048576]]]], [[8, 1, 9, 9, 5]
, [v = 1, u < -3^(1/2), And(1 < x,x < u^2-2), u^2+x < y, (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [-3, -3], [4, 4], [14, 14], [5, 5]]]], [[8, 3, 3, 3, 1
], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), And(x-u^2+2 <
y,y < x), z = z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304
], [-1821767/1048576, -1821767/1048576], [-1035335/524288, -1035335/524288], [
0, 0]]]], [[8, 7, 8, 1, 1], [v = 1, And(-1 < u,u < 0), x = 0, y < 0, z = z], [
regular_chain, [[1, 1], [-1/2, -1/2], [0, 0], [-1, -1], [0, 0]]]], [[8, 9, 3,
2, 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, 2, 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, 2, 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, 4, 8, 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,
8, 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, 8, 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, 8, 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, 8, 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, 7, 1],
[And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 0, u^2-v^2+1 < y, z < -y^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [0, 0], [10
, 10], [-5, -5]]]], [[9, 1, 6, 7, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1
/2), x = 0, u^2-v^2+1 < y, z = -y^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [0, 0], [10, 10], [-3315889/1048576, -207243/65536
]]]], [[9, 1, 6, 7, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 0, u^
2-v^2+1 < y, 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, 7, 4], [
And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 0, u^2-v^2+1 < y, z = y^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [0, 0], [10,
10], [207243/65536, 3315889/1048576]]]], [[9, 1, 6, 7, 5], [And(1 < v,v < 2^(1
/2)), u < -(v^2+2)^(1/2), x = 0, u^2-v^2+1 < y, y^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3, -3], [0, 0], [10, 10], [5, 5]]]], [[
9, 5, 8, 2, 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, 2,
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, 2, 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, 4, 8, 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], [-3, -3]]]], [[9,
7, 4, 8, 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], [-1314069/1048576, -328517/262144]]]], [[9, 7, 4, 8,
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, 8, 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], [328517
/262144, 1314069/1048576]]]], [[9, 7, 4, 8, 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], [3, 3]]]], [[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 = u^2-v^2+x+1, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152],
[35579/131072, 284633/1048576], [0, 0]]]], [[9, 11, 4, 3, 1], [And(1 < v,v < 2
^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1, And(-1 < y,y < u^2-v^2), z < -(
y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [-1, -1], [-1646781/2097152, -1646781/2097152], [-2,
-2]]]], [[9, 11, 4, 3, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u <
v), x = -1, And(-1 < y,y < u^2-v^2), z = -(y+1)^(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, 3, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1
, And(-1 < y,y < u^2-v^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [-1646781/2097152, -1646781/2097152], [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(-\
1 < y,y < u^2-v^2), z = (y+1)^(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, 3,
5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1, And(-1 < y,
y < u^2-v^2), (y+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-1, -1], [-1646781/2097152, -\
1646781/2097152], [2, 2]]]], [[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(0 < y,y < x
-u^2+v^2+1), 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, 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 = z], [regular_chain
, [[1265743/1048576, 1265743/1048576], [3, 3], [-4478937/524288, -8957873/
1048576], [-15818595/1048576, -7909297/524288], [0, 0]]]], [[10, 5, 9, 5, 1],
[v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(0 < x,x < 1), And(x < y,y < x-u^2+
3), z < -(y-x)^(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(x < y,y < x-u^2+3), z = -(y-x)^(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(x < y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < x-u^2+3), z = (y-x)^(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(x < y,y < x-
u^2+3), (y-x)^(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-u^2+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1527887/
2097152, -1527887/2097152], [2, 2], [-3, -3]]]], [[10, 7, 5, 9, 2], [v = 2^(1/
2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1), x-u^2+3 < y, z = -(y-x)^(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, 9, 3], [v = 2^(1/2), And(-v < u,u <
-1), And(-1 < x,x < -u^2+1), x-u^2+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9, 4], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x
,x < -u^2+1), x-u^2+3 < y, z = (y-x)^(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, 9,
5], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1), x-u^2+3 < y, (y-
x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [2, 2], [3,
3]]]], [[10, 11, 7, 4, 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, 2, 3, 1], [v = 2^(1/2), And(1 < u
,u < v), x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), z < -(y-u^2+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, 3, 2], [v = 2^(1/2), And(1 < u,u < v), x =
u^2-3, And(u^2-3 < y,y < 2*u^2-4), z = -(y-u^2+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, 3, 3], [v = 2^(1/2), And(1 < u,u < v), x = u
^2-3, And(u^2-3 < y,y < 2*u^2-4), And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+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, 3, 4], [v = 2^(1/2), And(1 < u,u < v),
x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), z = (y-u^2+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, 3, 5], [v = 2^(1/2), And(1 < u,u < v),
x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), (y-u^2+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, 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 < x-u^2+v^2+1, z = z], [regular_chain, [[3, 3],
[-3396811/1048576, -3396811/1048576], [129511/524288, 129511/524288], [-2, -2]
, [0, 0]]]], [[11, 5, 1, 9, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
x < -u^2+v^2-1, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [-3, -3], [1, 1], [-3, -3]]]], [[11, 5, 1, 9, 2], [2^
(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, 0 < y, z = -(y-x)^(
1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-3, -3], [1
, 1], [-2, -2]]]], [[11, 5, 1, 9, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u <
-v), x < -u^2+v^2-1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-3, -3], [1, 1], [0
, 0]]]], [[11, 5, 1, 9, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x <
-u^2+v^2-1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-403851/131072,
-403851/131072], [-3, -3], [1, 1], [2, 2]]]], [[11, 5, 1, 9, 5], [2^(1/2) < v,
And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-3, -3], [1, 1], [3
, 3]]]], [[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 < -y^(1/2)], [regular_chain, [[3,
3], [-22960369/8388608, -22960369/8388608], [0, 0], [2630187/2097152, 2630187/
2097152], [-3, -3]]]], [[11, 9, 6, 5, 2], [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 = -y^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [0, 0], [
2630187/2097152, 2630187/2097152], [-587149/524288, -1174297/1048576]]]], [[11
, 9, 6, 5, 3], [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), And(-y^(1/2) < z,z < y^(1/2))], [regular_chain, [
[3, 3], [-22960369/8388608, -22960369/8388608], [0, 0], [2630187/2097152, 
2630187/2097152], [0, 0]]]], [[11, 9, 6, 5, 4], [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 = y^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [0, 0], [
2630187/2097152, 2630187/2097152], [1174297/1048576, 587149/524288]]]], [[11,
9, 6, 5, 5], [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), y^(1/2) < z], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [0, 0], [2630187/2097152, 2630187/2097152], [3, 3
]]]], [[11, 10, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 < 0), z < -(y-x)^(
1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-3, -3], [-\
3159537/4194304, -3159537/4194304], [-3, -3]]]], [[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 < 0),
z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-\
3, -3], [-3159537/4194304, -3159537/4194304], [-1571713/1048576, -12279/8192]]
]], [[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 < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-3, -3], [-3159537/
4194304, -3159537/4194304], [0, 0]]]], [[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 < 0), z = (y-x)^
(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-3, -3], [-\
3159537/4194304, -3159537/4194304], [12279/8192, 1571713/1048576]]]], [[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 < 0), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [-3, -3], [-3159537/4194304, -3159537/4194304], [3, 3]
]]], [[11, 18, 4, 5, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -1, And(0 < y,y
< 1), z < -(y+1)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/
1048576], [-1, -1], [1/2, 1/2], [-3, -3]]]], [[11, 18, 4, 5, 2], [2^(1/2) < v,
u = (v^2+1)^(1/2), x = -1, And(0 < y,y < 1), z = -(y+1)^(1/2)], [regular_chain
, [[3, 3], [207243/65536, 3315889/1048576], [-1, -1], [1/2, 1/2], [-1284239/
1048576, -642119/524288]]]], [[11, 18, 4, 5, 3], [2^(1/2) < v, u = (v^2+1)^(1/
2), x = -1, And(0 < y,y < 1), And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/
1048576], [-1, -1], [1/2, 1/2], [642119/524288, 1284239/1048576]]]], [[11, 18,
4, 5, 5], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -1, And(0 < y,y < 1), (y+1)^(1/
2) < z], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-1, -1], [
1/2, 1/2], [3, 3]]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[-\
3, -3], [-403851/131072, -403851/131072], [-1062385/4194304, -1062385/4194304]
, [0, 0], [-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 = 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, 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 = 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, 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 = 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, 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 = 0, (-x)^(1/2) < z], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1062385/4194304,
-1062385/4194304], [0, 0], [2, 2]]]], [[1, 7, 4, 1, 1], [v < -2^(1/2), And(v <
u,u < -(v^2-1)^(1/2)), x = -1, y < -1, z = z], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-1, -1], [-2, -2], [0, 0]]]], [[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 < 0), z = z], [regular_chain, [[-3, -3], [0, 0], [1/
2, 1/2], [-15/4, -15/4], [0, 0]]]], [[1, 12, 9, 4, 1], [v < -2^(1/2), u = (v^2
-2)^(1/2), 1 < x, y = x-1, z = z], [regular_chain, [[-3, -3], [2774271/1048576
, 10837/4096], [2, 2], [1, 1], [0, 0]]]], [[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 < -2*u^2+2*v^2, z
= z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-2615197
/1048576, -653799/262144], [-4, -4], [0, 0]]]], [[1, 20, 4, 2, 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, 5, 4,
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, 4, 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, 4, 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, 4, 9, 3, 1], [v
= -2^(1/2), u = -3^(1/2), 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [2, 2]
, [1, 1], [0, 0]]]], [[2, 7, 3, 7, 1], [v = -2^(1/2), And(v < u,u < -1), And(u
^2-3 < x,x < -1), And(0 < y,y < x-u^2+3), z < -(y-x)^(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, 7, 2], [v = -2^(1/2), And(v < u,u < -1), And(u^2-3 < x,x < -1), And
(0 < y,y < x-u^2+3), z = -(y-x)^(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, 7, 3], [v = -2^(1/2), And(v < u,u < -1), And(u^2-3 < x,
x < -1), And(0 < y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 4], [v = -2^(1/2), And(v < u,u < -1), And(u^
2-3 < x,x < -1), And(0 < y,y < x-u^2+3), z = (y-x)^(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, 7, 5], [v = -2^(1/2), And(v < u,u < -1
), And(u^2-3 < x,x < -1), And(0 < y,y < x-u^2+3), (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-2666417/2097152, -2666417/2097152], [35579/262144, 35579/
262144], [3, 3]]]], [[2, 8, 7, 2, 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, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 5, 1, 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], [-1, -1], [0, 0]]]], [[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 <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3, -3], [-10006449/2097152, -10006449/2097152], [494331/131072, 3954649/
1048576], [-4, -4]]]], [[3, 1, 3, 8, 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], [494331/131072, 3954649/1048576], [-1532401/
524288, -24518415/8388608]]]], [[3, 1, 3, 8, 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], [494331/
131072, 3954649/1048576], [-7/16777216, -7/16777216]]]], [[3, 1, 3, 8, 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], [494331/
131072, 3954649/1048576], [3064801/1048576, 1532401/524288]]]], [[3, 1, 3, 8,
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], [494331/
131072, 3954649/1048576], [4, 4]]]], [[3, 2, 5, 7, 1], [And(-2^(1/2) < v,v < -\
1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), z < -(y-x)^(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, 7, 2], [
And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y <
x+3), z = -(y-x)^(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, 7, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2
+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-
x)^(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, 7,
4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 <
y,y < x+3), z = (y-x)^(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, 7, 5], [And(-2^(1/2) < v,v < -1),
u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), (y-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1/2, -1/2], [5/4, 5/4], [3, 3]]]], [[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(0 < y,y < x-u^2+v^2+1), z < -(y-x)^(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, 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(0 < y,y < x-u^2+v^2+1), z = -(y-x)^(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, 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(0 < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(0 < y,y < x-u^2+v^2+1)
, z = (y-x)^(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, 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(0 < y,y < x-u^2+v^2+1), (y-x)^(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, 7, 2, 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, 4,
3, 1], [v = -1, u < -3^(1/2), x = -1, And(-u^2+1 < y,y < -1), z = z], [
regular_chain, [[-1, -1], [-3, -3], [-1, -1], [-9/2, -9/2], [0, 0]]]], [[4, 2,
6, 2, 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
, 3, 9, 1], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), x-u^2+2 < y, z
< -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -11/8], [2,
2], [-3, -3]]]], [[4, 7, 3, 9, 2], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x
< -1), x-u^2+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2]
, [-11/8, -11/8], [2, 2], [-7705429/4194304, -1926357/1048576]]]], [[4, 7, 3,
9, 3], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), x-u^2+2 < y, And(-(y
-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11
/8, -11/8], [2, 2], [0, 0]]]], [[4, 7, 3, 9, 4], [v = -1, And(-1 < u,u < 0), 
And(u^2-2 < x,x < -1), x-u^2+2 < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1
], [-1/2, -1/2], [-11/8, -11/8], [2, 2], [1926357/1048576, 963179/524288]]]],
[[4, 7, 3, 9, 5], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), x-u^2+2 <
y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -11/8],
[2, 2], [3, 3]]]], [[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), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-\
1, -1], [908093/524288, 1816187/1048576], [1/2, 1/2], [5, 5], [-4, -4]]]], [[4
, 14, 7, 9, 2], [v = -1, u = 3^(1/2), And(0 < x,x < 1), x+3 < y, z = -(y-x)^(1
/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [1/2, 1/2],
[5, 5], [-1112183/524288, -2224365/1048576]]]], [[4, 14, 7, 9, 3], [v = -1, u
= 3^(1/2), And(0 < x,x < 1), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [1/2, 1/2], [5, 5
], [0, 0]]]], [[4, 14, 7, 9, 4], [v = -1, u = 3^(1/2), And(0 < x,x < 1), x+3 <
y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [1/2, 1/2], [5, 5], [2224365/1048576, 1112183/524288]]]], [[4, 14, 7
, 9, 5], [v = -1, u = 3^(1/2), And(0 < x,x < 1), x+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [1/2, 1/2], [5, 5]
, [4, 4]]]], [[5, 1, 1, 1, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x < -u^
2+v^2-1, y < x-u^2+v^2+1, z = z], [regular_chain, [[-1/2, -1/2], [-3, -3], [-\
11, -11], [-20, -20], [0, 0]]]], [[5, 5, 4, 1, 1], [And(-1 < v,v < 0), And(-(v
^2+1)^(1/2) < u,u < v), x = -1, y < -1, z = z], [regular_chain, [[-1/2, -1/2],
[-1696631/2097152, -1696631/2097152], [-1, -1], [-2, -2], [0, 0]]]], [[5, 6, 7
, 5, 1], [And(-1 < v,v < 0), u = v, 1 < x, And(x < y,y < x+1), z < -(y-x)^(1/2
)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2], [5/2, 5/2], [-2, -2]]
]], [[5, 6, 7, 5, 2], [And(-1 < v,v < 0), u = v, 1 < x, And(x < y,y < x+1), z
= -(y-x)^(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, 5, 3], [And(-1 < v,v <
0), u = v, 1 < x, And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2], [5/2, 5/2], [0, 0]]]], [[
5, 6, 7, 5, 4], [And(-1 < v,v < 0), u = v, 1 < x, And(x < y,y < x+1), z = (y-x
)^(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, 5, 5], [And(-1 < v,v < 0), u = v,
1 < x, And(x < y,y < x+1), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-\
1/2, -1/2], [2, 2], [5/2, 5/2], [2, 2]]]], [[5, 9, 4, 2, 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, 2, 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, 2, 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, 7, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 1, 9,
1, 1], [v = 0, u < -2^(1/2), And(1 < x,x < u^2-1), y < x-u^2+1, z = z], [
regular_chain, [[0, 0], [-3, -3], [9/2, 9/2], [-5, -5], [0, 0]]]], [[6, 3, 2,
2, 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], [-6111547/2097152, -24446187/8388608], [0, 0]]]], [
[6, 9, 4, 3, 1], [v = 0, And(1 < u,u < 2^(1/2)), x = -1, And(-u^2 < y,y < -1),
z = z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1, -1],
[-1288231/1048576, -1288231/1048576], [0, 0]]]], [[6, 10, 6, 2, 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, 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
= 0, z = z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [
243021/1048576, 243021/1048576], [0, 0], [0, 0]]]], [[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(-u^2+v^2-1 < 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], [-\
290131/262144, -290131/262144], [-2, -2]]]], [[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(-u^2+v^2-1 < 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], [-290131/
262144, -290131/262144], [-1144335/2097152, -572167/1048576]]]], [[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(-u^
2+v^2-1 < 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], [-290131/262144, -290131/262144], [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(-u^2+v^2-1 < 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], [-290131/262144, -290131/262144], [572167/1048576,
71521/131072]]]], [[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(-u^2+v^2-1 < 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], [-290131/262144, -290131/262144], [2, 2]]]
], [[8, 1, 9, 3, 1], [v = 1, u < -3^(1/2), And(1 < x,x < u^2-2), And(x-u^2+2 <
y,y < 0), z = z], [regular_chain, [[1, 1], [-3, -3], [4, 4], [-3/2, -3/2], [0,
0]]]], [[8, 3, 3, 1, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,
x < -1), y < x-u^2+2, z = z], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [-1821767/1048576, -1821767/1048576], [-4, -4], [0, 0]]]], [
[8, 7, 9, 4, 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, 4, 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, 4, 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, 7, 1], [v = 1, And(0 < u,u < 1), x = -1, And(0 < y,y < -u^2+1), z < -(y+
1)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [3/8, 3/8], [-3, -3]
]]], [[8, 9, 4, 7, 2], [v = 1, And(0 < u,u < 1), x = -1, And(0 < y,y < -u^2+1)
, z = -(y+1)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [3/8, 3/8]
, [-1229565/1048576, -307391/262144]]]], [[8, 9, 4, 7, 3], [v = 1, And(0 < u,u
< 1), x = -1, And(0 < 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], [3/8, 3/8], [0, 0]]]], [[8, 9, 4
, 7, 4], [v = 1, And(0 < u,u < 1), x = -1, And(0 < y,y < -u^2+1), z = (y+1)^(1
/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [3/8, 3/8], [307391/
262144, 1229565/1048576]]]], [[8, 9, 4, 7, 5], [v = 1, And(0 < u,u < 1), x = -\
1, And(0 < y,y < -u^2+1), (y+1)^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2
], [-1, -1], [3/8, 3/8], [3, 3]]]], [[8, 15, 4, 2, 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, 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 < -y^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3, -3], [0, 0], [8957873/2097152, 8957873/2097152], [-4, -\
4]]]], [[9, 1, 6, 5, 2], [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 = -y^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [0, 0], [8957873/2097152, 8957873/2097152], [-\
2167143/1048576, -1083571/524288]]]], [[9, 1, 6, 5, 3], [And(1 < v,v < 2^(1/2)
), u < -(v^2+2)^(1/2), x = 0, And(0 < y,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
], [8957873/2097152, 8957873/2097152], [0, 0]]]], [[9, 1, 6, 5, 4], [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 = y^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [0, 0], [
8957873/2097152, 8957873/2097152], [1083571/524288, 2167143/1048576]]]], [[9,
1, 6, 5, 5], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 0, And(0 < y,y <
u^2-v^2+1), y^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3, -3], [0, 0], [8957873/2097152, 8957873/2097152], [4, 4]]]], [[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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(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(x < y,y < x-
u^2+v^2+1), z = -(y-x)^(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(
x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < x-u^2+v^2+1), z = (y-x)^(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(x < y,y < x-u^2+v^2+1), (y-x)^(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 = x, z < 0], [regular_chain
, [[1265743/1048576, 1265743/1048576], [0, 0], [239655/1048576, 239655/1048576
], [239655/1048576, 239655/1048576], [-1, -1]]]], [[9, 9, 7, 6, 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, 6, 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, 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 = x, z <
0], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [-5390713/4194304, -5390713/4194304], [-1347679/1048576, -\
673839/524288], [-1, -1]]]], [[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 = x, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-5390713/4194304, -5390713/4194304], [-1347679/1048576, -673839/
524288], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-5390713
/4194304, -5390713/4194304], [-1347679/1048576, -673839/524288], [1, 1]]]], [[
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-u^2+v^2+1 < y,y < x), 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 < x-u^2+v^2+1, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [-\
13, -13], [0, 0]]]], [[10, 5, 7, 7, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v)
, And(u^2-3 < x,x < 0), And(x-u^2+3 < y,y < u^2+x-1), z < -(y-x)^(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, 7, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -
v), And(u^2-3 < x,x < 0), And(x-u^2+3 < y,y < u^2+x-1), z = -(y-x)^(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, 7,
3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), And(x-u^2+3
< y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 4], [v = 2^(
1/2), And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), And(x-u^2+3 < y,y < u^2+
x-1), z = (y-x)^(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, 7, 5], [
v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), And(x-u^2+3 < y,y
< u^2+x-1), (y-x)^(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, 4, 8, 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], [569265/1048576, 284633/524288], [-3, -3]]]], [[10, 7, 4, 8, 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], [569265/1048576, 284633/524288], [-1302471/1048576, -\
651235/524288]]]], [[10, 7, 4, 8, 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
], [569265/1048576, 284633/524288], [0, 0]]]], [[10, 7, 4, 8, 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], [569265/1048576, 284633/524288], [651235/524288, 1302471/1048576]]]], [[
10, 7, 4, 8, 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], [569265/1048576, 284633/524288], [3, 3]]
]], [[10, 11, 7, 6, 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, 6, 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, 6, 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, 3, 2, 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], [-1333209/1048576, -166651/131072], [-1, -1]]]], [[10, 13, 3, 2, 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], [-1333209/1048576, -166651/
131072], [0, 0]]]], [[10, 13, 3, 2, 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], [-1333209/1048576, -166651/131072], [1, 1]]]], [[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 = z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [0, 0],
[-518045/1048576, -129511/262144], [0, 0]]]], [[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 < 0), z
< -(y-x)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-\
3, -3], [-3159537/4194304, -3159537/4194304], [-3, -3]]]], [[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 < 0), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [-3, -3], [-3159537/4194304, -3159537/4194304], [-1571713/
1048576, -12279/8192]]]], [[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 < 0), And(-(y-x)^(1/2) < z,
z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-403851/131072, -403851/131072],
[-3, -3], [-3159537/4194304, -3159537/4194304], [0, 0]]]], [[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 < 0), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [-3, -3], [-3159537/4194304, -3159537/4194304], [12279/8192, 
1571713/1048576]]]], [[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 < 0), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-3, -3], [-3159537/
4194304, -3159537/4194304], [3, 3]]]], [[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 = x-u^2+v^2
+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [533035/2097152, 533035/2097152], [2896705/1048576, 1448353
/524288], [-3, -3]]]], [[11, 9, 7, 8, 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-u^2+v^2+1, z = -(-u^2+v
^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608],
[533035/2097152, 533035/2097152], [2896705/1048576, 1448353/524288], [-3321417
/2097152, -415177/262144]]]], [[11, 9, 7, 8, 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-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], [533035/2097152, 533035/2097152], [
2896705/1048576, 1448353/524288], [0, 0]]]], [[11, 9, 7, 8, 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 = x-u
^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608
, -22960369/8388608], [533035/2097152, 533035/2097152], [2896705/1048576, 
1448353/524288], [415177/262144, 1660709/1048576]]]], [[11, 9, 7, 8, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [533035/2097152, 533035/2097152], [
2896705/1048576, 1448353/524288], [3, 3]]]], [[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 = x, z < 0], [
regular_chain, [[3, 3], [0, 0], [-11, -11], [-11, -11], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[3, 3], [0, 0], [-11, -11], [-11, -11], [0
, 0]]]], [[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 = x, 0 < z], [regular_chain, [[3, 3], [0, 0], [-11, -\
11], [-11, -11], [1, 1]]]], [[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 < x, z = z], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [-3, -3], [-4, -4], [0, 0]]]], [[11, 18, 4, 3, 1], [2^
(1/2) < v, u = (v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), z < -(y+1)^(1/2)], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-1, -1], [-1/2, -1/2
], [-2, -2]]]], [[11, 18, 4, 3, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -1, 
And(-1 < y,y < 0), z = -(y+1)^(1/2)], [regular_chain, [[3, 3], [207243/65536,
3315889/1048576], [-1, -1], [-1/2, -1/2], [-1482911/2097152, -741455/1048576]]
]], [[11, 18, 4, 3, 3], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -1, And(-1 < y,y
< 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(1/2)
], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-1, -1], [-1/2,
-1/2], [741455/1048576, 46341/65536]]]], [[11, 18, 4, 3, 5], [2^(1/2) < v, u =
(v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), (y+1)^(1/2) < z], [regular_chain, [[
3, 3], [207243/65536, 3315889/1048576], [-1, -1], [-1/2, -1/2], [2, 2]]]], [[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 < 2*u^2-2*v^2), z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3],
[-5, -5], [15, 15], [47/2, 47/2], [-4, -4]]]], [[1, 1, 10, 5, 2], [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 =
-(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [15, 15], [47/2, 
47/2], [-24456785/8388608, -1528549/524288]]]], [[1, 1, 10, 5, 3], [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), And
(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3]
, [-5, -5], [15, 15], [47/2, 47/2], [0, 0]]]], [[1, 1, 10, 5, 4], [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 =
(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [15, 15], [47/2, 47
/2], [1528549/524288, 3057099/1048576]]]], [[1, 1, 10, 5, 5], [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), (y-u^2+v^
2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5], [15, 15], [47/2, 47/2],
[4, 4]]]], [[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 < -(u^2-v^2+1)^(1/2)]
, [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-915943/
524288, -915943/524288], [391655/524288, 783311/1048576], [-3, -3]]]], [[1, 3,
3, 8, 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], [391655/524288, 783311/1048576], [-1655969/1048576, -3311937/2097152]
]]], [[1, 3, 3, 8, 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], [391655/524288, 783311/1048576], [
-1/4194304, -1/4194304]]]], [[1, 3, 3, 8, 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], [391655/524288, 783311/1048576], [
51749/32768, 1655969/1048576]]]], [[1, 3, 3, 8, 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], [391655/524288, 783311/1048576],
[3, 3]]]], [[1, 7, 10, 6, 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], [1565147/1048576, 391287/262144],
[-2, -2]]]], [[1, 7, 10, 6, 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], [1565147/1048576, 391287/262144],
[-735979/1048576, -1471957/2097152]]]], [[1, 7, 10, 6, 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], [1565147/1048576, 391287/262144], [-1/4194304, -1/4194304]]]
], [[1, 7, 10, 6, 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], [1565147/1048576, 391287/262144], [367989/
524288, 735979/1048576]]]], [[1, 7, 10, 6, 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], [1565147/1048576, 
391287/262144], [2, 2]]]], [[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(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x
)^(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(x < y,y < 0
), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-3, -3], [0, 0], [-3, -3]]]], [[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 = 0, z = -(-x)^(
1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3, -3]
, [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[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 = 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, 8, 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, 8, 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, 16, 5, 1, 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], [-1, -1], [0, 0]]]],
[[1, 21, 1, 7, 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 < 0), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-18,
-18], [-1/2, -1/2], [-6, -6]]]], [[1, 21, 1, 7, 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 < 0), z = -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [5, 5], [-18, -18], [-1/2, -1/2], [-4386509/1048576,
-1096627/262144]]]], [[1, 21, 1, 7, 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 < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[-3, -3], [5, 5], [-18, -18], [-1/2, -1/2], [0, 0]]]], [[1,
21, 1, 7, 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 < 0), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-18, -18],
[-1/2, -1/2], [1096627/262144, 4386509/1048576]]]], [[1, 21, 1, 7, 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 < 0), (y-x)^(
1/2) < z], [regular_chain, [[-3, -3], [5, 5], [-18, -18], [-1/2, -1/2], [6, 6]
]]], [[2, 1, 3, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 10, 9, 4, 1], [v = -2^(1/2), u = 0, 1 < x, y = x-1,
z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [2, 2], [
1, 1], [0, 0]]]], [[2, 12, 2, 5, 1], [v = -2^(1/2), u = 1, x = -2, 0 < y, z <
-(y+2)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-\
2, -2], [1, 1], [-3, -3]]]], [[2, 12, 2, 5, 2], [v = -2^(1/2), u = 1, x = -2,
0 < y, z = -(y+2)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[1, 1], [-2, -2], [1, 1], [-1816187/1048576, -3632373/2097152]]]], [[2, 12, 2,
5, 3], [v = -2^(1/2), u = 1, x = -2, 0 < y, And(-(y+2)^(1/2) < z,z < (y+2)^(1/
2))], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-2, -2], [
1, 1], [-1/4194304, -1/4194304]]]], [[2, 12, 2, 5, 4], [v = -2^(1/2), u = 1, x
= -2, 0 < y, z = (y+2)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1, 1], [-2, -2], [1, 1], [908093/524288, 1816187/1048576]]]], [[2, 
12, 2, 5, 5], [v = -2^(1/2), u = 1, x = -2, 0 < y, (y+2)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-2, -2], [1, 1],
[3, 3]]]], [[2, 17, 2, 1, 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], [-4, -\
4], [0, 0]]]], [[2, 18, 4, 2, 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, 9, 3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2
), 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-410915/262144, -3287319/2097152], [2, 2], [1, 1], [0, 0]]]
], [[3, 6, 3, 1, 1], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 0), y <
x, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[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
= u^2-v^2-1, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-1646781/1048576, -3293561/2097152], [-\
1646781/1048576, -3293561/2097152], [-1, -1]]]], [[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 = u^2-v^2-1,
z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576
, 987341/1048576], [-1646781/1048576, -3293561/2097152], [-1646781/1048576, -\
3293561/2097152], [0, 0]]]], [[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 = u^2-v^2-1, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-1646781/1048576, -3293561/2097152], [-1646781/1048576, -3293561/
2097152], [1, 1]]]], [[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 < 0), z < -(y+3)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-3, -3], [-3/2, -3/2], [-3, -3]]]], [[3, 16, 2, 5, 2], [And(-2^(1/2
) < v,v < -1), u = (v^2+2)^(1/2), x = -3, And(-3 < y,y < 0), z = -(y+3)^(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, 5, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -3, 
And(-3 < y,y < 0), And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-3, -3],
[-3/2, -3/2], [0, 0]]]], [[3, 16, 2, 5, 4], [And(-2^(1/2) < v,v < -1), u = (v^
2+2)^(1/2), x = -3, And(-3 < y,y < 0), z = (y+3)^(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, 5, 5], [And(-2^
(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -3, And(-3 < y,y < 0), (y+3)^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 
1949649/1048576], [-3, -3], [-3/2, -3/2], [3, 3]]]], [[4, 3, 3, 7, 1], [v = -1
, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), And(0 < y,y < u^2+x),
z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [-1821767/1048576, -1821767/1048576], [773191/2097152, 773191/
2097152], [-3, -3]]]], [[4, 3, 3, 7, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2
)), And(-u^2 < x,x < -1), And(0 < y,y < u^2+x), z = -(y-x)^(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, 7, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)
), And(-u^2 < x,x < -1), And(0 < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^
(1/2))], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-\
1821767/1048576, -1821767/1048576], [773191/2097152, 773191/2097152], [0, 0]]]
], [[4, 3, 3, 7, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x <
-1), And(0 < y,y < u^2+x), z = (y-x)^(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, 7, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), And(0
< y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-6598195/4194304
, -6598195/4194304], [-1821767/1048576, -1821767/1048576], [773191/2097152, 
773191/2097152], [3, 3]]]], [[4, 4, 7, 2, 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, 3, 1], [v = -1, And(1 < u,
u < 2^(1/2)), x = -u^2, And(-u^2 < y,y < -2*u^2+2), z < -(u^2+y)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1527887/
1048576, -763943/524288], [-4973015/4194304, -4973015/4194304], [-2, -2]]]], [
[4, 11, 2, 3, 2], [v = -1, And(1 < u,u < 2^(1/2)), x = -u^2, And(-u^2 < y,y <
-2*u^2+2), z = -(u^2+y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 
1265743/1048576], [-1527887/1048576, -763943/524288], [-4973015/4194304, -\
4973015/4194304], [-1092629/2097152, -273157/524288]]]], [[4, 11, 2, 3, 3], [v
= -1, And(1 < u,u < 2^(1/2)), x = -u^2, And(-u^2 < 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], [-4973015/4194304, -\
4973015/4194304], [0, 0]]]], [[4, 11, 2, 3, 4], [v = -1, And(1 < u,u < 2^(1/2)
), x = -u^2, And(-u^2 < y,y < -2*u^2+2), z = (u^2+y)^(1/2)], [regular_chain, [
[-1, -1], [1265743/1048576, 1265743/1048576], [-1527887/1048576, -763943/
524288], [-4973015/4194304, -4973015/4194304], [273157/524288, 546315/1048576]
]]], [[4, 11, 2, 3, 5], [v = -1, And(1 < u,u < 2^(1/2)), x = -u^2, And(-u^2 <
y,y < -2*u^2+2), (u^2+y)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-1527887/1048576, -763943/524288], [-4973015/
4194304, -4973015/4194304], [2, 2]]]], [[4, 12, 5, 3, 1], [v = -1, u = 2^(1/2)
, And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1
, -1], [741455/524288, 1482911/1048576], [-1/2, -1/2], [-1/4, -1/4], [-2, -2]]
]], [[4, 12, 5, 3, 2], [v = -1, u = 2^(1/2), And(-1 < x,x < 0), And(x < y,y <
0), z = -(y-x)^(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, 3, 3], [v =
-1, u = 2^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-\
1/2, -1/2], [-1/4, -1/4], [0, 0]]]], [[4, 12, 5, 3, 4], [v = -1, u = 2^(1/2),
And(-1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = -1, u = 2^(1/2), And(-1 < x,x < 0), And(x < y,y < 0
), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [-1/2, -1/2], [-1/4, -1/4], [2, 2]]]], [[5, 1, 7, 4, 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, 2, 9, 5, 1], [And
(-1 < v,v < 0), u = -(v^2+2)^(1/2), 1 < x, And(x-1 < y,y < 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 = 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, 8, 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, 8, 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, 8, 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, 8, 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, 7, 1], [v = 0, u < -2^(1
/2), x = -u^2-1, 0 < y, z < -(u^2+y+1)^(1/2)], [regular_chain, [[0, 0], [-3, -\
3], [-10, -10], [1, 1], [-5, -5]]]], [[6, 1, 2, 7, 2], [v = 0, u < -2^(1/2), x
= -u^2-1, 0 < y, z = -(u^2+y+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-\
10, -10], [1, 1], [-1738867/524288, -3477733/1048576]]]], [[6, 1, 2, 7, 3], [v
= 0, u < -2^(1/2), x = -u^2-1, 0 < y, 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, 7, 4], [v = 0, u < -2^(1/2), x = -u^2-1, 0 < y, z = (u^2+y+1)^(1/2)], [
regular_chain, [[0, 0], [-3, -3], [-10, -10], [1, 1], [3477733/1048576, 
1738867/524288]]]], [[6, 1, 2, 7, 5], [v = 0, u < -2^(1/2), x = -u^2-1, 0 < y,
(u^2+y+1)^(1/2) < z], [regular_chain, [[0, 0], [-3, -3], [-10, -10], [1, 1], [
5, 5]]]], [[6, 5, 5, 7, 1], [v = 0, And(-1 < u,u < 0), And(-1 < x,x < u^2-1),
And(0 < y,y < u^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/
2], [-7/8, -7/8], [3/16, 3/16], [-3, -3]]]], [[6, 5, 5, 7, 2], [v = 0, And(-1
< u,u < 0), And(-1 < x,x < u^2-1), And(0 < y,y < u^2+x+1), z = -(y-x)^(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, 7, 3], [v = 0, And(-1 < u,u < 0), And(
-1 < x,x < u^2-1), And(0 < y,y < u^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[0, 0], [-1/2, -1/2], [-7/8, -7/8], [3/16, 3/16], [0, 0]
]]], [[6, 5, 5, 7, 4], [v = 0, And(-1 < u,u < 0), And(-1 < x,x < u^2-1), And(0
< y,y < u^2+x+1), z = (y-x)^(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, 7, 5],
[v = 0, And(-1 < u,u < 0), And(-1 < x,x < u^2-1), And(0 < y,y < u^2+x+1), (y-x
)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2], [-7/8, -7/8], [3/16, 3/16
], [3, 3]]]], [[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 < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [1/
2, 1/2], [12, 12], [-5, -5]]]], [[7, 1, 7, 9, 2], [And(0 < v,v < 1), u < -(v^2
+2)^(1/2), And(0 < x,x < 1), u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [1/2, 1/2], [12, 12], [-3555895/1048576,
-1777947/524288]]]], [[7, 1, 7, 9, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2),
And(0 < x,x < 1), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [-3, -3], [1/2, 1/2], [12, 12], [0, 0]]]], [[7, 1,
7, 9, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(0 < x,x < 1), u^2-v^2+x+1
< y, z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [1/2, 1/2], [12,
12], [1777947/524288, 3555895/1048576]]]], [[7, 1, 7, 9, 5], [And(0 < v,v < 1)
, u < -(v^2+2)^(1/2), And(0 < x,x < 1), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-3, -3], [1/2, 1/2], [12, 12], [5, 5]]]], [[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 < x-u^2+v^2+1, z = z], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [-4, -4], [-6, -6], [0, 0]]]], [[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 = 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -1, And(-\
1 < y,y < -u^2+v^2), z < -(y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-1, -1], [-736367/1048576, -736367/1048576], [-2,
-2]]]], [[7, 9, 4, 3, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x =
-1, And(-1 < y,y < -u^2+v^2), z = -(y+1)^(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, 3, 3], [And(0 < v
,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -1, And(-1 < y,y < -u^2+v^2), And(-
(y+1)^(1/2) < z,z < (y+1)^(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, 3, 4], [And(0 < v,v < 1), And(v < u,u < (v
^2+1)^(1/2)), x = -1, And(-1 < y,y < -u^2+v^2), z = (y+1)^(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, 3, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -1, And(-1 < y,
y < -u^2+v^2), (y+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/2097152
, 1696631/2097152], [-1, -1], [-736367/1048576, -736367/1048576], [2, 2]]]], [
[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 = 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,
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 = 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, 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 = 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, 6, 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, 6, 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, 12, 8, 2, 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, 2, 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, 5,
1], [v = 1, And(-2^(1/2) < u,u < -1), x = -1, And(-u^2+1 < y,y < 0), z < -(y+1
)^(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(-u^2+1 < y,y < 0), z = -(y+1)^(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(-u^2+1 < y,y < 0),
And(-(y+1)^(1/2) < z,z < (y+1)^(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(-u^2+1 < y,y < 0), z = (y+1)^(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(-u^2+1 < y,y < 0), (y+1)^(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(0 < y,y < x-u^2+2), z < -(y-x)^(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(0 < y,y <
x-u^2+2), z = -(y-x)^(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(0 < y,y < x-u^2+2), And(-(y-
x)^(1/2) < z,z < (y-x)^(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(0 < y,y < x-u^2+2), z = (y-x)^(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(0 < y,y < x-u^2+2), (y-x)^(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 < x-u^2+2, z = z], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152], [-4,
-4], [0, 0]]]], [[9, 2, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [0, 0], [-250983/524288, -501965/1048576], [0, 0]
]]], [[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 = 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], [1259641/1048576, 629821/524288],
[-3, -3]]]], [[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 = 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], [1259641/1048576, 629821/524288],
[-1270261/1048576, -317565/262144]]]], [[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 = u^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], [1259641/1048576, 629821/524288], [0, 0]]]], [[9, 13, 7, 8,
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], [1259641/1048576, 629821/524288], [317565/262144, 1270261/
1048576]]]], [[9, 13, 7, 8, 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], [1259641/1048576, 629821/524288],
[3, 3]]]], [[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 = x, z < 0], [regular_chain, [
[1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-3647693/
2097152, -3647693/2097152], [-3647693/2097152, -3647693/2097152], [-1, -1]]]],
[[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 = x, z = 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [-3647693/2097152,
-3647693/2097152], [-3647693/2097152, -3647693/2097152], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [898327/524288, 898327/524288], [-3647693/2097152, -3647693/
2097152], [-3647693/2097152, -3647693/2097152], [1, 1]]]], [[10, 2, 1, 9, 1],
[v = 2^(1/2), u = -2, x < -3, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-2, -2], [-4, -4], [1, 1], [-4, -4]]]], [[10
, 2, 1, 9, 2], [v = 2^(1/2), u = -2, x < -3, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-4, -4], [1, 1],
[-146543/65536, -2344687/1048576]]]], [[10, 2, 1, 9, 3], [v = 2^(1/2), u = -2,
x < -3, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-2, -2], [-4, -4], [1, 1], [0, 0]]]], [[10,
2, 1, 9, 4], [v = 2^(1/2), u = -2, x < -3, 0 < y, z = (y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-4, -4], [1, 1],
[2344687/1048576, 146543/65536]]]], [[10, 2, 1, 9, 5], [v = 2^(1/2), u = -2, x
< -3, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [-4, -4], [1, 1], [4, 4]]]], [[10, 3, 6, 5, 1], [v = 2^(1/
2), And(-2 < u,u < -3^(1/2)), x = 0, And(0 < y,y < u^2-1), 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,
5, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0, And(0 < y,y < u^2-1), 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, 5, 3], [v = 2^(1/2), And(-2 < u,u < -
3^(1/2)), x = 0, And(0 < y,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], [2602619/2097152, 2602619/2097152], [0, 0]]]], [[10, 3, 6, 5
, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0, And(0 < y,y < u^2-1), 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, 5, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/
2)), x = 0, And(0 < y,y < u^2-1), y^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [0, 0], [
2602619/2097152, 2602619/2097152], [3, 3]]]], [[10, 9, 7, 9, 1], [v = 2^(1/2),
And(-1 < u,u < 0), And(0 < x,x < -u^2+1), x-u^2+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [3/8, 3/8], [5
, 5], [-4, -4]]]], [[10, 9, 7, 9, 2], [v = 2^(1/2), And(-1 < u,u < 0), And(0 <
x,x < -u^2+1), x-u^2+3 < y, z = -(y-x)^(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, 9, 3], [v = 2^(1/2), And(-1 < u,u < 0), And(0
< x,x < -u^2+1), x-u^2+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [3/8, 3/8], [5
, 5], [0, 0]]]], [[10, 9, 7, 9, 4], [v = 2^(1/2), And(-1 < u,u < 0), And(0 < x
,x < -u^2+1), x-u^2+3 < y, z = (y-x)^(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, 9, 5], [v = 2^(1/2), And(-1 < u,u < 0), And(0 < x,x <
-u^2+1), x-u^2+3 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [3/8, 3/8], [5, 5], [4, 4]]]], [[10, 11, 1, 5,
1], [v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, And(x < y,y < x-u^2+3), z < -(y
-x)^(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(x < y,y < x-u^2+3), z = -(y-x)^(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(x < y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < x-u^2+3), z = (y-x)^(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(x < y,y < x-u^2+3), (y-x)^(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 = u^2+x-1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-275385/1048576, -\
275385/1048576], [317749/262144, 1270997/1048576], [-3, -3]]]], [[10, 15, 7, 8
, 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], [317749
/262144, 1270997/1048576], [-1273381/1048576, -318345/262144]]]], [[10, 15, 7,
8, 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], [317749/262144, 1270997/1048576], [0, 0]]]], [[10, 15, 7, 8,
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], [317749/262144,
1270997/1048576], [318345/262144, 1273381/1048576]]]], [[10, 15, 7, 8, 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], [317749/262144,
1270997/1048576], [3, 3]]]], [[10, 17, 3, 4, 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], [-3651195/2097152, -3651195/2097152], [-1, -1]]]],
[[10, 17, 3, 4, 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], [-3651195/
2097152, -3651195/2097152], [0, 0]]]], [[10, 17, 3, 4, 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], [-3651195/2097152, -3651195/2097152], [1, 1]]]],
[[10, 19, 2, 5, 1], [v = 2^(1/2), 2 < u, x = -u^2+1, And(-u^2+1 < y,y < 0), z
< -(u^2+y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3]
, [-8, -8], [-4, -4], [-3, -3]]]], [[10, 19, 2, 5, 2], [v = 2^(1/2), 2 < u, x
= -u^2+1, And(-u^2+1 < y,y < 0), z = -(u^2+y-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [-8, -8], [-4, -4], [-2, -2]]]], [[10
, 19, 2, 5, 3], [v = 2^(1/2), 2 < u, x = -u^2+1, And(-u^2+1 < y,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], [-4, -4], [0, 0]]]], [[10, 19, 2, 5, 4], [
v = 2^(1/2), 2 < u, x = -u^2+1, And(-u^2+1 < y,y < 0), z = (u^2+y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-8, -8], [-4, -4],
[2, 2]]]], [[10, 19, 2, 5, 5], [v = 2^(1/2), 2 < u, x = -u^2+1, And(-u^2+1 < y
,y < 0), (u^2+y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [-8, -8], [-4, -4], [3, 3]]]], [[11, 1, 5, 1, 1], [2^(1/2) <
v, u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y < x-u^2+v^2+1, z = z], [
regular_chain, [[3, 3], [-5, -5], [-1/2, -1/2], [-17, -17], [0, 0]]]], [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [66399/
262144, 265597/1048576], [-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 = x-u^2+v^2+1, z = -(-u^2
+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-\
1062385/4194304, -1062385/4194304], [66399/262144, 265597/1048576], [-373161/
524288, -1492643/2097152]]]], [[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 = x-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], [-1062385/4194304, -1062385/4194304], [66399/262144, 265597/
1048576], [-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 = x-u^2+v^2+1, z = (-u^2
+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-\
1062385/4194304, -1062385/4194304], [66399/262144, 265597/1048576], [746321/
1048576, 373161/524288]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) <
z], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1062385/
4194304, -1062385/4194304], [66399/262144, 265597/1048576], [2, 2]]]], [[11, 7
, 4, 7, 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 < -(y+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-1, -1], [133001/524288, 133001/524288], [-3, -3]]]], [[11,
7, 4, 7, 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 = -(y+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-1, -1], [133001/524288, 133001/524288], [-293517/262144, -\
1174067/1048576]]]], [[11, 7, 4, 7, 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(-(y+1)^(1/2) < z,z < (y+1)^(1/2))
], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-1, -1], [
133001/524288, 133001/524288], [0, 0]]]], [[11, 7, 4, 7, 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 = (y+1)^(1/2)]
, [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-1, -1], [
133001/524288, 133001/524288], [1174067/1048576, 293517/262144]]]], [[11, 7, 4
, 7, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, And(0 < y,y < -
u^2+v^2), (y+1)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-1, -1], [133001/524288, 133001/524288], [3, 3]]]], [[11, 
12, 9, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 4, 1, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -1, y < -1, z = z
], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1, -1], [-2, -\
2], [0, 0]]]], [[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(-2*u^2+2*v^2 < y,y < -u^2+v^2-1), z = z], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-2615197/1048576,
-653799/262144], [-183949995/67108864, -183949995/67108864], [0, 0]]]], [[11,
20, 4, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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(0 < y,y < x-u^2+v^2+1), z < -(y-x)^(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(
0 < y,y < x-u^2+v^2+1), z = -(y-x)^(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(0 < y,y
< x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(0 < y,y < x-u^2+v^2+1)
, z = (y-x)^(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(0 < y,y < x-u^2+v^2+1), (y-x)^(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 = -1,
z < 0], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-1,
-1], [-1, -1], [-1, -1]]]], [[1, 7, 4, 2, 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, 2, 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, 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 = z], [regular_chain, [[-3
, -3], [0, 0], [1/2, 1/2], [-15/2, -15/2], [0, 0]]]], [[1, 12, 9, 3, 1], [v <
-2^(1/2), u = (v^2-2)^(1/2), 1 < x, And(0 < y,y < x-1), z = z], [regular_chain
, [[-3, -3], [2774271/1048576, 10837/4096], [2, 2], [1/2, 1/2], [0, 0]]]], [[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 = -2*u^2+2*v^2, z = z], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [-2615197/1048576, -653799/262144], [-200527383/
67108864, -100263691/33554432], [0, 0]]]], [[1, 20, 4, 3, 1], [v < -2^(1/2), u
= (v^2+2)^(1/2), x = -1, And(-2 < y,y < -1), z = z], [regular_chain, [[-3, -3]
, [3477733/1048576, 1738867/524288], [-1, -1], [-3/2, -3/2], [0, 0]]]], [[2, 3
, 5, 3, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), And(x-
u^2+3 < y,y < x), z = z], [regular_chain, [[-1482911/1048576, -741455/524288],
[-3913339/2097152, -3913339/2097152], [-1/2, -1/2], [-24864689/33554432, -\
24864689/33554432], [0, 0]]]], [[2, 4, 9, 2, 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, 8, 1
], [v = -2^(1/2), And(v < u,u < -1), And(u^2-3 < x,x < -1), y = x-u^2+3, z < -
(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152], [
35579/131072, 284633/1048576], [-3, -3]]]], [[2, 7, 3, 8, 2], [v = -2^(1/2), 
And(v < u,u < -1), And(u^2-3 < x,x < -1), y = x-u^2+3, z = -(-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-2666417/2097152, -2666417/2097152], [35579/131072, 284633/
1048576], [-1302471/1048576, -651235/524288]]]], [[2, 7, 3, 8, 3], [v = -2^(1/
2), And(v < u,u < -1), And(u^2-3 < x,x < -1), y = x-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], [-2666417/2097152, -2666417/2097152], [
35579/131072, 284633/1048576], [0, 0]]]], [[2, 7, 3, 8, 4], [v = -2^(1/2), And
(v < u,u < -1), And(u^2-3 < x,x < -1), y = x-u^2+3, z = (-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-2666417/2097152, -2666417/2097152], [35579/131072, 284633/
1048576], [651235/524288, 1302471/1048576]]]], [[2, 7, 3, 8, 5], [v = -2^(1/2)
, And(v < u,u < -1), And(u^2-3 < x,x < -1), y = x-u^2+3, (-u^2+3)^(1/2) < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-2666417/2097152, -2666417/2097152], [35579/131072, 284633/
1048576], [3, 3]]]], [[2, 8, 7, 3, 1], [v = -2^(1/2), u = -1, And(0 < x,x < 1)
, And(0 < y,y < x), z = z], [regular_chain, [[-1482911/1048576, -741455/524288
], [-1, -1], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[2, 13, 1, 7, 1], [v = -2^(1/
2), And(1 < u,u < -v), x < u^2-3, And(x-u^2+3 < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-3, -3], [-763943/1048576, -763943/1048576], [-3, -3]]]], [[2, 13,
1, 7, 2], [v = -2^(1/2), And(1 < u,u < -v), x < u^2-3, And(x-u^2+3 < y,y < 0),
z = -(y-x)^(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, 7, 3], [v = -2^(1/2),
And(1 < u,u < -v), x < u^2-3, And(x-u^2+3 < y,y < 0), And(-(y-x)^(1/2) < z,z <
(y-x)^(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, 7, 4], [v = -2^(1/2), And(1 < u,u < -v),
x < u^2-3, And(x-u^2+3 < y,y < 0), z = (y-x)^(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, 7, 5], [v = -2^(1/2), And(1 < u,u < -v), x < u^2-3, And(x-u^2+3 < y,y
< 0), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-3, -3], [-763943/1048576, -763943/1048576
], [3, 3]]]], [[2, 14, 4, 5, 1], [v = -2^(1/2), u = -v, x = 0, 1 < y, z < -y^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 
1482911/1048576], [0, 0], [2, 2], [-3, -3]]]], [[2, 14, 4, 5, 2], [v = -2^(1/2
), u = -v, x = 0, 1 < y, 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, 5, 3], [v = -2^(1/2), u = -v, x = 0,
1 < y, 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, 5, 4], [v = -2^(1/2), u = -v, x = 0, 1 < y, 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, 5,
5], [v = -2^(1/2), u = -v, x = 0, 1 < y, y^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [0, 0], [2
, 2], [3, 3]]]], [[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 < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-10006449/
2097152, -10006449/2097152], [5, 5], [-5, -5]]]], [[3, 1, 3, 9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-3, -3], [-10006449/2097152, -10006449/2097152], [5, 5], [-3277777/1048576, -\
204861/65536]]]], [[3, 1, 3, 9, 3], [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, And(-(y-x)^(1/2) < z,z < (y-
x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [
-10006449/2097152, -10006449/2097152], [5, 5], [0, 0]]]], [[3, 1, 3, 9, 4], [
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 = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [5, 5], [204861/
65536, 3277777/1048576]]]], [[3, 1, 3, 9, 5], [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, (y-x)^(1/2) < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-10006449/
2097152, -10006449/2097152], [5, 5], [5, 5]]]], [[3, 2, 5, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 1, 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], [-1, -1], [0, 0]]]], [[4, 1, 4, 2, 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, 6, 1, 1], [v = -1, u = -3^(1/2), x = 0, y < -1, z = z], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [0, 0], [-2, -\
2], [0, 0]]]], [[4, 7, 4, 1, 1], [v = -1, And(-1 < u,u < 0), x = -1, y < -1, z
= z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [-2, -2], [0, 0]]]],
[[4, 8, 7, 5, 1], [v = -1, u = 0, And(0 < x,x < 1), And(x < y,y < x+2), z < -(
y-x)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [1/2, 1/2], [3/2, 3/2], [-2, -\
2]]]], [[4, 8, 7, 5, 2], [v = -1, u = 0, And(0 < x,x < 1), And(x < y,y < x+2),
z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [1/2, 1/2], [3/2, 3/2],
[-1, -1]]]], [[4, 8, 7, 5, 3], [v = -1, u = 0, And(0 < x,x < 1), And(x < y,y <
x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [0, 0
], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[4, 8, 7, 5, 4], [v = -1, u = 0, And(0
< x,x < 1), And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [
0, 0], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[4, 8, 7, 5, 5], [v = -1, u = 0, 
And(0 < x,x < 1), And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[-1,
-1], [0, 0], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[4, 14, 7, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 9, 1], [v = -1, 3^(1/2) < u, u
^2-2 < x, u^2+x < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [8,
8], [18, 18], [-5, -5]]]], [[4, 15, 11, 9, 2], [v = -1, 3^(1/2) < u, u^2-2 < x
, u^2+x < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [8, 8], [18
, 18], [-3315889/1048576, -207243/65536]]]], [[4, 15, 11, 9, 3], [v = -1, 3^(1
/2) < u, u^2-2 < x, u^2+x < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1, -1], [3, 3], [8, 8], [18, 18], [0, 0]]]], [[4, 15, 11, 9,
4], [v = -1, 3^(1/2) < u, u^2-2 < x, u^2+x < y, z = (y-x)^(1/2)], [
regular_chain, [[-1, -1], [3, 3], [8, 8], [18, 18], [207243/65536, 3315889/
1048576]]]], [[4, 15, 11, 9, 5], [v = -1, 3^(1/2) < u, u^2-2 < x, u^2+x < y, (
y-x)^(1/2) < z], [regular_chain, [[-1, -1], [3, 3], [8, 8], [18, 18], [5, 5]]]
], [[5, 5, 4, 2, 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, 2, 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, 2, 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, 6, 7, 6, 1], [And(-1 < v,v < 0),
u = v, 1 < x, y = x+1, z < -1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [
2, 2], [3, 3], [-2, -2]]]], [[5, 6, 7, 6, 2], [And(-1 < v,v < 0), u = v, 1 < x
, y = x+1, z = -1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2], [3, 3
], [-1, -1]]]], [[5, 6, 7, 6, 3], [And(-1 < v,v < 0), u = v, 1 < x, y = x+1, 
And(-1 < z,z < 1)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2], [3, 3
], [0, 0]]]], [[5, 6, 7, 6, 4], [And(-1 < v,v < 0), u = v, 1 < x, y = x+1, z =
1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2], [3, 3], [1, 1]]]], [[
5, 6, 7, 6, 5], [And(-1 < v,v < 0), u = v, 1 < x, y = x+1, 1 < z], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2], [3, 3], [2, 2]]]], [[5, 9,
4, 1, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y < -1, z
= z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1,
-1], [-2, -2], [0, 0]]]], [[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 < x+2), z < -(y-x)^(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, 5, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(0 < x,x
< 1), And(x < y,y < x+2), z = -(y-x)^(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, 5, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y
< x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 5, 4], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y
< x+2), z = (y-x)^(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, 5, 5], [And(-1
< v,v < 0), u = (v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), (y-x)^(1/
2) < z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [1/2
, 1/2], [3/2, 3/2], [2, 2]]]], [[6, 1, 9, 2, 1], [v = 0, u < -2^(1/2), And(1 <
x,x < u^2-1), y = x-u^2+1, z = z], [regular_chain, [[0, 0], [-3, -3], [9/2, 9/
2], [-7/2, -7/2], [0, 0]]]], [[6, 3, 2, 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 = z], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [-2576463/1048576, -1288231/524288], [-\
45057891/16777216, -45057891/16777216], [0, 0]]]], [[6, 9, 4, 2, 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], [-1527887/1048576, -763943/524288
], [0, 0]]]], [[6, 10, 6, 1, 1], [v = 0, u = 2^(1/2), x = 0, y < -1, z = z], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [0, 0], [-2, -2], [0
, 0]]]], [[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(0 < y,y < x), 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], [-848315/1048576, -\
3393259/4194304], [-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], [-848315/1048576, -3393259/4194304], [-\
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], [-\
848315/1048576, -3393259/4194304], [-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], [-848315/
1048576, -3393259/4194304], [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], [-848315/
1048576, -3393259/4194304], [2, 2]]]], [[8, 1, 9, 4, 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, 3, 2, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)),
And(-u^2 < x,x < -1), y = x-u^2+2, z = z], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [-1821767/1048576, -1821767/1048576], [-1159787/
524288, -2319573/1048576], [0, 0]]]], [[8, 7, 9, 3, 1], [v = 1, And(-1 < u,u <
0), And(0 < x,x < 1), And(0 < y,y < x), z = z], [regular_chain, [[1, 1], [-1/2
, -1/2], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[8, 9, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 1], [v = 1, 3^(1/2) < u, x = -1, And(-u^
2+1 < y,y < -1), z = z], [regular_chain, [[1, 1], [3, 3], [-1, -1], [-9/2, -9/
2], [0, 0]]]], [[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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [0, 0], [8957873/1048576, 4478937/524288]
, [-4, -4]]]], [[9, 1, 6, 6, 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], [8957873/1048576, 4478937/524288]
, [-1532401/524288, -24518415/8388608]]]], [[9, 1, 6, 6, 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], [8957873/1048576, 4478937/524288], [-7/16777216, -7/16777216]]
]], [[9, 1, 6, 6, 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], [8957873/1048576, 4478937/524288], [3064801/
1048576, 1532401/524288]]]], [[9, 1, 6, 6, 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], [8957873/1048576, 4478937
/524288], [4, 4]]]], [[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 = 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, 4, 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, 4, 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, 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(-u^2+v^2-1 < 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], [-\
225185/1048576, -225185/1048576], [-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(-u^2+v^2-1 < 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], [-225185/1048576, -225185/1048576], [-485927/1048576, -242963/524288]
]]], [[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(-u^2+v^2-1 < 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], [-\
225185/1048576, -225185/1048576], [0, 0]]]], [[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(-u^2+v^2-1 < 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], [-225185/1048576, -225185/1048576], [242963/524288, 485927/1048576]]]
], [[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(-u^2+v^2-1 < 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], [-225185/1048576, -225185
/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(x < y,y < x-u^2+v
^2+1), z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[0, 0], [239655/1048576, 239655/1048576], [763943/524288, 763943/524288], [-3,
-3]]]], [[9, 9, 7, 7, 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(x < y,y < x-u^2+v^2+1), z = -(y
-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [
239655/1048576, 239655/1048576], [763943/524288, 763943/524288], [-1162243/
1048576, -581121/524288]]]], [[9, 9, 7, 7, 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(x < y,y <
x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [239655/1048576, 239655/1048576], [
763943/524288, 763943/524288], [0, 0]]]], [[9, 9, 7, 7, 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(x < y,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [239655/1048576, 239655/1048576], [763943/
524288, 763943/524288], [581121/524288, 1162243/1048576]]]], [[9, 9, 7, 7, 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(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [0, 0], [239655/1048576, 239655/1048576],
[763943/524288, 763943/524288], [3, 3]]]], [[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(x < y,y
< u^2-v^2+x+1), z < -(y-x)^(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, 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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 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(x < y,y < u^2-v^2+x+1), And(-(y-
x)^(1/2) < z,z < (y-x)^(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, 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(x < y,y < u^2-v^2+x+1), z = (y-x)^(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, 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(x < y,y < u^2-v^2+x+1), (y-x)^(
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, 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
-u^2+v^2+1, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [775271/1048576, 775271/1048576], [273305/
1048576, 136653/524288], [0, 0]]]], [[9, 17, 2, 7, 1], [And(1 < v,v < 2^(1/2))
, (v^2+2)^(1/2) < u, x = -u^2+v^2-1, 0 < y, 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, 7, 2], [And(1 < v,v < 2^(1
/2)), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, 0 < y, 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, 7
, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, 0 < y, 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, 7, 4], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x
= -u^2+v^2-1, 0 < y, 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, 7, 5], [And(1 < v,v < 2^(1/2
)), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, 0 < y, (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, 7, 8, 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], [1270997/1048576, 635499/
524288], [-3, -3]]]], [[10, 5, 7, 8, 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], [1270997/1048576, 635499/524288], [-636691
/524288, -1273381/1048576]]]], [[10, 5, 7, 8, 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], [1270997/
1048576, 635499/524288], [0, 0]]]], [[10, 5, 7, 8, 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], [1270997/1048576, 635499/
524288], [1273381/1048576, 636691/524288]]]], [[10, 5, 7, 8, 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], [1270997/1048576, 
635499/524288], [3, 3]]]], [[10, 7, 4, 9, 1], [v = 2^(1/2), And(-v < u,u < -1)
, x = -1, -u^2+2 < y, z < -(y+1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [2, 2], [-3,
-3]]]], [[10, 7, 4, 9, 2], [v = 2^(1/2), And(-v < u,u < -1), x = -1, -u^2+2 <
y, z = -(y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [2, 2], [-1816187/1048576, -\
3632373/2097152]]]], [[10, 7, 4, 9, 3], [v = 2^(1/2), And(-v < u,u < -1), x =
-1, -u^2+2 < y, 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], [-1/4194304, -1/4194304]]]], [[10, 7, 4, 9, 4], [v = 2^(1/2), And(-
v < u,u < -1), x = -1, -u^2+2 < y, z = (y+1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [2,
2], [908093/524288, 1816187/1048576]]]], [[10, 7, 4, 9, 5], [v = 2^(1/2), And(
-v < u,u < -1), x = -1, -u^2+2 < y, (y+1)^(1/2) < z], [regular_chain, [[741455
/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [2,
2], [3, 3]]]], [[10, 11, 7, 5, 1], [v = 2^(1/2), And(0 < u,u < 1), And(0 < x,x
< -u^2+1), And(0 < y,y < x), 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 < x, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-2666417/2097152, -2666417/2097152], [-3, -3], [0, 0]]]], [[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 = z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [0, 0], [-2, -2], [0, 0]]]], [[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], [-\
1579769/1048576, -3159537/2097152], [-3, -3]]]], [[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], [-1579769/1048576, -3159537/2097152], [-1281417/1048576, -160177/131072]]
]], [[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], [-1579769/
1048576, -3159537/2097152], [0, 0]]]], [[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], [-\
1579769/1048576, -3159537/2097152], [160177/131072, 1281417/1048576]]]], [[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], [-1579769/1048576, -3159537/2097152], [3, 3]]]], [[
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), x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[
3, 3], [-22960369/8388608, -22960369/8388608], [533035/2097152, 533035/2097152
], [4, 4], [-3, -3]]]], [[11, 9, 7, 9, 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), x-u^2+v^2+1 < y, z = -(y-x)^
(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [
533035/2097152, 533035/2097152], [4, 4], [-8117717/4194304, -16235433/8388608]
]]], [[11, 9, 7, 9, 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), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [
533035/2097152, 533035/2097152], [4, 4], [-1/16777216, -1/16777216]]]], [[11,
9, 7, 9, 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), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3],
[-22960369/8388608, -22960369/8388608], [533035/2097152, 533035/2097152], [4,
4], [2029429/1048576, 1014715/524288]]]], [[11, 9, 7, 9, 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), x-u^2+v^2+
1 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [533035/2097152, 533035/2097152], [4, 4], [3, 3]]]], [[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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(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(x < y,y < x-u^2+
v^2+1), z = -(y-x)^(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(x < y,y < x-u^2+
v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < x-u^2+v^2+1),
z = (y-x)^(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(x < y,y < x-u^2+v^2+1), (
y-x)^(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, x+1 < y, z < -(y-x)^(1/2)
], [regular_chain, [[3, 3], [3, 3], [2, 2], [4, 4], [-3, -3]]]], [[11, 16, 7,
7, 2], [2^(1/2) < v, u = v, 1 < x, x+1 < y, z = -(y-x)^(1/2)], [regular_chain,
[[3, 3], [3, 3], [2, 2], [4, 4], [-1482911/1048576, -741455/524288]]]], [[11,
16, 7, 7, 3], [2^(1/2) < v, u = v, 1 < x, x+1 < y, And(-(y-x)^(1/2) < z,z < (y
-x)^(1/2))], [regular_chain, [[3, 3], [3, 3], [2, 2], [4, 4], [0, 0]]]], [[11,
16, 7, 7, 4], [2^(1/2) < v, u = v, 1 < x, x+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [3, 3], [2, 2], [4, 4], [741455/524288, 1482911/
1048576]]]], [[11, 16, 7, 7, 5], [2^(1/2) < v, u = v, 1 < x, x+1 < y, (y-x)^(1
/2) < z], [regular_chain, [[3, 3], [3, 3], [2, 2], [4, 4], [3, 3]]]], [[11, 18
, 4, 2, 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, 2, 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, 2, 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, 1, 10, 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 < -(u^2-v^2+1)^(1/2)], [regular_chain
, [[-3, -3], [-5, -5], [15, 15], [32, 32], [-6, -6]]]], [[1, 1, 10, 6, 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, 6, 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, 6, 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, 6, 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
, 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 < -(y-x)^(1/2)], [regular_chain, [[-3,
-3], [-3396811/1048576, -3396811/1048576], [-915943/524288, -915943/524288], [
2, 2], [-3, -3]]]], [[1, 3, 3, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(1/
2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-915943
/524288, -915943/524288], [2, 2], [-4059505/2097152, -16238019/8388608]]]], [[
1, 3, 3, 9, 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), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2)
)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-915943/
524288, -915943/524288], [2, 2], [-3/16777216, -3/16777216]]]], [[1, 3, 3, 9,
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), u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [-915943/524288, -915943/524288], [2, 2],
[253719/131072, 2029753/1048576]]]], [[1, 3, 3, 9, 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), u^2-v^2+x+1 <
y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [-915943/524288, -915943/524288], [2, 2], [3, 3]]]], [[1, 7, 10, 5,
1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 1, And(1 < y,y < u^2-v^2
+2), 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(1 < y,y < u^
2-v^2+2), 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(1 < 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], [
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(1 < y,y < u^2-v^2+2), 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(1 < y,y <
u^2-v^2+2), (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 = x, z < 0], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [-1/2, -1/2], [-1/2, -1/2], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [-1/2, -1/2], [-1/2, -1/2], [0, 0]]]], [[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 = x, 0 <
z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1/2,
-1/2], [-1/2, -1/2], [1, 1]]]], [[1, 15, 1, 9, 1], [v < -2^(1/2), And((v^2-1)^
(1/2) < u,u < -v), x < u^2-v^2-1, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[
-3, -3], [6111549/2097152, 6111549/2097152], [-3, -3], [1, 1], [-3, -3]]]], [[
1, 15, 1, 9, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1,
0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549
/2097152], [-3, -3], [1, 1], [-2, -2]]]], [[1, 15, 1, 9, 3], [v < -2^(1/2), 
And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, 0 < y, And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152],
[-3, -3], [1, 1], [0, 0]]]], [[1, 15, 1, 9, 4], [v < -2^(1/2), And((v^2-1)^(1/
2) < u,u < -v), x < u^2-v^2-1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-3,
-3], [6111549/2097152, 6111549/2097152], [-3, -3], [1, 1], [2, 2]]]], [[1, 15,
1, 9, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, 0 < y,
(y-x)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152
], [-3, -3], [1, 1], [3, 3]]]], [[1, 16, 5, 2, 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, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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,
7, 1], [v = -2^(1/2), u < -2, And(-u^2+1 < x,x < -1), And(0 < y,y < u^2+x-1),
z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -\
3], [-9/2, -9/2], [7/4, 7/4], [-4, -4]]]], [[2, 1, 3, 7, 2], [v = -2^(1/2), u
< -2, And(-u^2+1 < x,x < -1), And(0 < y,y < u^2+x-1), z = -(y-x)^(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, 7, 3], [v = -2^(1/2), u < -2, And(-u^2+1
< x,x < -1), And(0 < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-9/2, -9/2], [7
/4, 7/4], [0, 0]]]], [[2, 1, 3, 7, 4], [v = -2^(1/2), u < -2, And(-u^2+1 < x,x
< -1), And(0 < y,y < u^2+x-1), z = (y-x)^(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, 7, 5], [v = -2^(1/2), u < -2, And(-u^2+1 < x,x < -1), And(0 < y,y <
u^2+x-1), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288
], [-3, -3], [-9/2, -9/2], [7/4, 7/4], [4, 4]]]], [[2, 10, 9, 5, 1], [v = -2^(
1/2), u = 0, 1 < x, And(x-1 < y,y < 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, z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [1, 1], [-3/2, -3/2], [-3, -3], [0, 0]]]]
, [[2, 17, 1, 9, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, 0 < y,
z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [-4, -4], [1, 1], [-4, -4]]]], [[2, 17, 1,
9, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, 0 < y, z = -(y-x)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 
3913339/2097152], [-4, -4], [1, 1], [-146543/65536, -2344687/1048576]]]], [[2,
17, 1, 9, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, 0 < y, And(-(
y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [-4, -4], [1, 1], [0, 0]]]], [[2,
17, 1, 9, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, 0 < y, z = (y
-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [-4, -4], [1, 1], [2344687/1048576, 146543/65536]]]
], [[2, 17, 1, 9, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, 0 < y
, (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [-4, -4], [1, 1], [4, 4]]]], [[2, 18, 4, 1,
1], [v = -2^(1/2), u = 2, x = -1, y < -2, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [2, 2], [-1, -1], [-3, -3], [0, 0]]]], [[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 = 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, 2, 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, 2, 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, 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 < u^
2-v^2-1, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-1646781/1048576, -3293561/2097152], [-3, -3
], [0, 0]]]], [[3, 12, 5, 3, 1], [And(-2^(1/2) < v,v < -1), u = -v, And(0 < x,
x < 1), And(0 < y,y < x), 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, 3, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), 1 < x, 
And(0 < y,y < x), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [1643659/1048576, 410915/262144], [2, 2], [1, 1], [0, 0]]]], [[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, z < u], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [-1821767/1048576, -1821767/1048576], [773191/1048576, 96649/131072]
, [-3, -3]]]], [[4, 3, 3, 8, 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], [773191/
1048576, 96649/131072], [-1649549/1048576, -3299097/2097152]]]], [[4, 3, 3, 8,
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], [773191/1048576, 96649/131072]
, [-1/4194304, -1/4194304]]]], [[4, 3, 3, 8, 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],
[773191/1048576, 96649/131072], [412387/262144, 1649549/1048576]]]], [[4, 3, 3
, 8, 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], [773191/1048576, 96649/131072], [3, 3]]]
], [[4, 4, 7, 3, 1], [v = -1, u = -2^(1/2), And(0 < x,x < 1), And(0 < y,y < x)
, z = z], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [1/2,
1/2], [1/4, 1/4], [0, 0]]]], [[4, 11, 2, 2, 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], [-1527887/1048576, -\
763943/524288], [-1, -1]]]], [[4, 11, 2, 2, 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], [-1527887/1048576, -\
763943/524288], [0, 0]]]], [[4, 11, 2, 2, 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], [-1527887/1048576, -\
763943/524288], [1, 1]]]], [[4, 12, 5, 2, 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, 2, 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, 2, 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, 5, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2),
And(0 < x,x < 1), And(0 < y,y < x), 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 = x, z < 0], [regular_chain, [[-1/2, -1/2], [-3
/2, -3/2], [2, 2], [2, 2], [-1, -1]]]], [[5, 2, 9, 6, 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, 6, 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, 7, 1], [And(-1 < v,v < 0), u = (v^
2+2)^(1/2), 1 < x, And(x < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[-1
/2, -1/2], [3/2, 3/2], [2, 2], [7/2, 7/2], [-3, -3]]]], [[5, 12, 9, 7, 2], [
And(-1 < v,v < 0), u = (v^2+2)^(1/2), 1 < x, And(x < y,y < x+3), z = -(y-x)^(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, 7, 3], [And(-1 < v,v < 0), u = (v^2+
2)^(1/2), 1 < x, And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [2, 2], [7/2, 7/2], [0, 0]]]], [[5,
12, 9, 7, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), 1 < x, And(x < y,y < x+3)
, z = (y-x)^(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, 7, 5], [And(-1 < v,v < 0
), u = (v^2+2)^(1/2), 1 < x, And(x < y,y < x+3), (y-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [2, 2], [7/2, 7/2], [3, 3]]]], [[6,
1, 2, 6, 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,
6, 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, 6, 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, 6, 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, 6, 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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 5, 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], [-5/4, -5/4], [-1/4,
-1/4], [-2, -2]]]], [[6, 7, 2, 5, 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], [-5/4, -5/4], [-1/4, -1/4], [-1, -1]]]], [[6, 7, 2, 5, 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], [-5/4, -5/4], [-1/4, -1/
4], [0, 0]]]], [[6, 7, 2, 5, 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], [-5
/4, -5/4], [-1/4, -1/4], [1, 1]]]], [[6, 7, 2, 5, 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], [-5/4, -5/4], [-1/4, -1/4], [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 < -
(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, 8, 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, 8, 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, 8, 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, 8, 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, 9, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), 1 <
x, x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [2,
2], [6, 6], [-3, -3]]]], [[7, 2, 9, 9, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/
2), 1 < x, x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/
2], [2, 2], [6, 6], [-2, -2]]]], [[7, 2, 9, 9, 3], [And(0 < v,v < 1), u = -(v^
2+2)^(1/2), 1 < x, x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [2, 2], [6, 6], [0, 0]]]], [[7, 2, 9
, 9, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), 1 < x, x+3 < y, z = (y-x)^(1/2
)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [2, 2], [6, 6], [2, 2]]]], [[7,
2, 9, 9, 5], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), 1 < x, x+3 < y, (y-x)^(1/2
) < z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [2, 2], [6, 6], [3, 3]]]],
[[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(u^2-v^2+x+1 < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [
[1/2, 1/2], [0, 0], [-3/8, -3/8], [5/8, 5/8], [-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(u^2-v^2+x+
1 < y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0]
, [-3/8, -3/8], [5/8, 5/8], [-1, -1]]]], [[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(u^2-v^2+x+1 < y,y < x-u^2+v^
2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [0,
0], [-3/8, -3/8], [5/8, 5/8], [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(u^2-v^2+x+1 < y,y < x-u^2+v^
2+1), z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [5/
8, 5/8], [1, 1]]]], [[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(u^2-v^2+x+1 < y,y < x-u^2+v^2+1), (y-x)^(1/2) <
z], [regular_chain, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [5/8, 5/8], [2, 2]]]],
[[7, 9, 4, 4, 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], [-2, -\
2]]]], [[7, 9, 4, 4, 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]
, [-1618333/2097152, -3236665/4194304]]]], [[7, 9, 4, 4, 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], [-1/8388608, -1
/8388608]]]], [[7, 9, 4, 4, 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
], [404583/524288, 809167/1048576]]]], [[7, 9, 4, 4, 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], [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(0 < y,y <
u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144,
343151/262144], [-1/2, -1/2], [1029453/1048576, 1029453/1048576], [-3, -3]]]],
[[7, 11, 5, 7, 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 < u^2-v^2+x+1), z = -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1/2, -1/2], [
1029453/1048576, 1029453/1048576], [-159551/131072, -1276407/1048576]]]], [[7,
11, 5, 7, 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 < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/
2))], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1/2, -1/2
], [1029453/1048576, 1029453/1048576], [0, 0]]]], [[7, 11, 5, 7, 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 < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [-1/2, -1/2], [1029453/1048576, 1029453/1048576], [
1276407/1048576, 159551/131072]]]], [[7, 11, 5, 7, 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 < u^2-v^2
+x+1), (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/
262144], [-1/2, -1/2], [1029453/1048576, 1029453/1048576], [3, 3]]]], [[7, 12,
8, 3, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = 1, And(0 < y,y < 1), z = z
], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [1, 1], [1/2, 1/2], [0, 0]]]], [[8
, 3, 9, 1, 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], [-1, -1], [0, 0]]]], [[8, 5, 4, 4, 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], [-\
479311/1048576, -239655/524288], [-2, -2]]]], [[8, 5, 4, 4, 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], [-479311/1048576, -\
239655/524288], [-772605/1048576, -1545209/2097152]]]], [[8, 5, 4, 4, 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], [-479311/1048576, -239655/524288], [-1/4194304, -1/4194304]]]], [[
8, 5, 4, 4, 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], [-479311/1048576, -239655/524288], [193151/262144, 772605/1048576]]]],
[[8, 5, 4, 4, 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], [-479311/1048576, -239655/524288], [2, 2]]]], [[8, 11, 7, 6, 1], [v
= 1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y = x-u^2+2, z < -(-u^2+2)^
(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-569265/
2097152, -569265/2097152], [35579/131072, 284633/1048576], [-2, -2]]]], [[8, 
11, 7, 6, 2], [v = 1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y = x-u^2+
2, z = -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-569265/2097152, -569265/2097152], [35579/131072, 284633/1048576],
[-772605/1048576, -1545209/2097152]]]], [[8, 11, 7, 6, 3], [v = 1, And(1 < u,u
< 2^(1/2)), And(u^2-2 < x,x < 0), y = x-u^2+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], [35579/131072, 284633/1048576], [-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 = x-u^2+2, z = (-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [35579/131072,
284633/1048576], [193151/262144, 772605/1048576]]]], [[8, 11, 7, 6, 5], [v = 1
, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y = x-u^2+2, (-u^2+2)^(1/2) <
z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-569265/
2097152, -569265/2097152], [35579/131072, 284633/1048576], [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 = x-u^
2+2, z = z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-\
3643533/2097152, -3643533/2097152], [-2319573/1048576, -579893/262144], [0, 0]
]]], [[9, 2, 1, 5, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x < -3, 
And(x < y,y < x+3), z < -(y-x)^(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 < y,y < x+3), z = -(y-x)^(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 < y,y < x+3), And(-(y-x)^(1/2
) < z,z < (y-x)^(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 < y,y
< x+3), z = (y-x)^(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 < y,y < x+3), (y-x)^(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 = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [
0, 0], [-2, -2], [0, 0]]]], [[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), u^2-v^2+x+1 < y, z < -(y-x)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576,
1454701/1048576], [-139585/524288, -139585/524288], [3, 3], [-3, -3]]]], [[9,
13, 7, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
139585/524288, -139585/524288], [3, 3], [3, 3]]]], [[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(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [898327/524288, 898327/524288], [-3647693/2097152, -3647693/
2097152], [-3647693/4194304, -3647693/4194304], [-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(x < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-3647693/
2097152, -3647693/2097152], [-3647693/4194304, -3647693/4194304], [-1955731/
2097152, -7822923/8388608]]]], [[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(x < y,y
< 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [-3647693/2097152,
-3647693/2097152], [-3647693/4194304, -3647693/4194304], [-3/16777216, -3/
16777216]]]], [[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(x < y,y < 0), z = (y-x)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 
898327/524288], [-3647693/2097152, -3647693/2097152], [-3647693/4194304, -\
3647693/4194304], [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(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [-3647693/2097152,
-3647693/2097152], [-3647693/4194304, -3647693/4194304], [2, 2]]]], [[10, 2, 1
, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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 < 0, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1/2, -1/2], [3/4, 3/4], [-1, -1], [0, 0]]]], [[10, 11, 1, 6, 1], [
v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, y = x-u^2+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, 6, 2], [v = 2^(1/2), And(0 < u,u < 1), x < u^
2-3, y = x-u^2+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, 6, 3], [v = 2^(1/2), And(0 < u,u < 1), x < u
^2-3, y = x-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], [-4, -4], [-5/4,
-5/4], [-1/4194304, -1/4194304]]]], [[10, 11, 1, 6, 4], [v = 2^(1/2), And(0 <
u,u < 1), x < u^2-3, y = x-u^2+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, 6, 5], [v = 2^(1/2), And(0 < u,u < 1
), x < u^2-3, y = x-u^2+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, 7, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), And(
x-u^2+3 < y,y < u^2+x-1), z < -(y-x)^(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, 7
, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), And(x-u^2+3
< y,y < u^2+x-1), z = -(y-x)^(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, 7, 3], [
v = 2^(1/2), And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), And(x-u^2+3 < y,y <
u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(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,
7, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), And(x-u^2+3
< y,y < u^2+x-1), z = (y-x)^(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, 7, 5], [v
= 2^(1/2), And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), And(x-u^2+3 < y,y < u
^2+x-1), (y-x)^(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, 3, 3, 1], [v = 2^(1/2),
And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), And(x-u^2+3 < y,y < x), z = z]
, [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339
/2097152], [-3651195/2097152, -3651195/2097152], [-8313323/4194304, -8313323/
4194304], [0, 0]]]], [[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 < -(y+1)^(1/2)], [regular_chain,
[[3, 3], [-5, -5], [-1, -1], [17, 17], [-6, -6]]]], [[11, 1, 4, 9, 2], [2^(1/2
) < v, u < -(v^2+2)^(1/2), x = -1, u^2-v^2 < y, z = -(y+1)^(1/2)], [
regular_chain, [[3, 3], [-5, -5], [-1, -1], [17, 17], [-1112183/262144, -\
4448731/1048576]]]], [[11, 1, 4, 9, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), x =
-1, u^2-v^2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[3,
3], [-5, -5], [-1, -1], [17, 17], [0, 0]]]], [[11, 1, 4, 9, 4], [2^(1/2) < v,
u < -(v^2+2)^(1/2), x = -1, u^2-v^2 < y, z = (y+1)^(1/2)], [regular_chain, [[3
, 3], [-5, -5], [-1, -1], [17, 17], [4448731/1048576, 1112183/262144]]]], [[11
, 1, 4, 9, 5], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = -1, u^2-v^2 < y, (y+1)^(1
/2) < z], [regular_chain, [[3, 3], [-5, -5], [-1, -1], [17, 17], [6, 6]]]], [[
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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1062385/4194304, -\
1062385/4194304], [195745/262144, 195745/262144], [-3, -3]]]], [[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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[3,
3], [-403851/131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [
195745/262144, 195745/262144], [-1048577/1048576, -1]]]], [[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(x-u
^2+v^2+1 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1062385/4194304, -\
1062385/4194304], [195745/262144, 195745/262144], [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(
x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [
-403851/131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [195745
/262144, 195745/262144], [1, 1048577/1048576]]]], [[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(x-u^2+v^2+1
< y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [195745/262144,
195745/262144], [3, 3]]]], [[11, 7, 4, 8, 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], [-3, -3]]]], [[11, 7, 4, 8, 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], [-1287385/1048576, -160923/131072]]]], [[11, 7
, 4, 8, 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], [0, 0]]]], [[11, 7, 4, 8, 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], [160923/131072, 1287385/1048576]]]], [[11, 7, 4, 8, 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], [3, 3]]]], [[11, 12, 9, 7, 1], [2^(1/2) < v, u
= (v^2-2)^(1/2), 1 < x, And(x < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain,
[[3, 3], [2774271/1048576, 10837/4096], [2, 2], [7/2, 7/2], [-3, -3]]]], [[11,
12, 9, 7, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), 1 < x, And(x < y,y < x+3), z =
-(y-x)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [2, 2],
[7/2, 7/2], [-1284239/1048576, -642119/524288]]]], [[11, 12, 9, 7, 3], [2^(1/2
) < v, u = (v^2-2)^(1/2), 1 < x, And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [2, 2],
[7/2, 7/2], [0, 0]]]], [[11, 12, 9, 7, 4], [2^(1/2) < v, u = (v^2-2)^(1/2), 1
< x, And(x < y,y < x+3), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [2, 2], [7/2, 7/2], [642119/524288, 1284239/1048576]]]],
[[11, 12, 9, 7, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), 1 < x, And(x < y,y < x+3)
, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [2
, 2], [7/2, 7/2], [3, 3]]]], [[11, 14, 3, 7, 1], [2^(1/2) < v, u = (v^2-1)^(1/
2), And(-2 < x,x < -1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [
741455/262144, 2965821/1048576], [-3/2, -3/2], [2, 2], [-3, -3]]]], [[11, 14,
3, 7, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-2 < x,x < -1), x+2 < y, z = -(
y-x)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-3/2,
-3/2], [2, 2], [-7846825/4194304, -980853/524288]]]], [[11, 14, 3, 7, 3], [2^(
1/2) < v, u = (v^2-1)^(1/2), And(-2 < x,x < -1), x+2 < y, And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576],
[-3/2, -3/2], [2, 2], [0, 0]]]], [[11, 14, 3, 7, 4], [2^(1/2) < v, u = (v^2-1)
^(1/2), And(-2 < x,x < -1), x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3]
, [741455/262144, 2965821/1048576], [-3/2, -3/2], [2, 2], [980853/524288, 
1961707/1048576]]]], [[11, 14, 3, 7, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), And(
-2 < x,x < -1), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [-3/2, -3/2], [2, 2], [3, 3]]]], [[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], [-2615197/1048576, -653799/262144], [-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], [-2615197/
1048576, -653799/262144], [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], [-2615197/1048576, -653799/262144], [1, 1]]]], [[11, 20, 4, 9
, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -1, 2 < y, z < -(y+1)^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1, -1], [3, 3], [
-3, -3]]]], [[11, 20, 4, 9, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -1, 2 < y
, z = -(y+1)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288
], [-1, -1], [3, 3], [-2, -2]]]], [[11, 20, 4, 9, 3], [2^(1/2) < v, u = (v^2+2
)^(1/2), x = -1, 2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain
, [[3, 3], [3477733/1048576, 1738867/524288], [-1, -1], [3, 3], [0, 0]]]], [[
11, 20, 4, 9, 4], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -1, 2 < y, z = (y+1)^(1
/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1, -1], [3
, 3], [2, 2]]]], [[11, 20, 4, 9, 5], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -1,
2 < y, (y+1)^(1/2) < z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/
524288], [-1, -1], [3, 3], [3, 3]]]], [[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 = x, z < 0], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1062385/4194304,
-1062385/4194304], [-265597/1048576, -66399/262144], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-\
1062385/4194304, -1062385/4194304], [-265597/1048576, -66399/262144], [0, 0]]]
], [[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 = x, 0 < z], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-1062385/4194304, -1062385/4194304], [-265597/1048576, -66399
/262144], [1, 1]]]], [[1, 7, 4, 3, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), x = -1, And(-1 < y,y < u^2-v^2), z < -(y+1)^(1/2)], [regular_chain, [[-\
3, -3], [-6111549/2097152, -6111549/2097152], [-1, -1], [-3161161/4194304, -\
3161161/4194304], [-2, -2]]]], [[1, 7, 4, 3, 2], [v < -2^(1/2), And(v < u,u <
-(v^2-1)^(1/2)), x = -1, And(-1 < y,y < u^2-v^2), z = -(y+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-1, -1], [-\
3161161/4194304, -3161161/4194304], [-16263/32768, -520415/1048576]]]], [[1, 7
, 4, 3, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, And(-1 < y,y
< u^2-v^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-3, -3],
[-6111549/2097152, -6111549/2097152], [-1, -1], [-3161161/4194304, -3161161/
4194304], [0, 0]]]], [[1, 7, 4, 3, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), x = -1, And(-1 < y,y < u^2-v^2), z = (y+1)^(1/2)], [regular_chain, [[-3
, -3], [-6111549/2097152, -6111549/2097152], [-1, -1], [-3161161/4194304, -\
3161161/4194304], [520415/1048576, 16263/32768]]]], [[1, 7, 4, 3, 5], [v < -2^
(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, And(-1 < y,y < u^2-v^2), (y+1)^(
1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-\
1, -1], [-3161161/4194304, -3161161/4194304], [2, 2]]]], [[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 = z], [regular_chain, [[-3, -3], [0, 0], [1/2, 1/2], [-9, -9], [
0, 0]]]], [[1, 12, 9, 6, 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, 6, 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, 6, 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, 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 = 0, z < -(-x)^(1/2)], [regular_chain, [
[-3, -3], [3396811/1048576, 3396811/1048576], [-4, -4], [0, 0], [-3, -3]]]], [
[1, 19, 1, 8, 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, 8, 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, 8, 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, 8, 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, 4, 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, 4, 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, 4, 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, 3, 5, 2,
1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), y = x-u^2+3, z
= z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152,
-3913339/2097152], [-1/2, -1/2], [-32952163/33554432, -16476081/16777216], [0,
0]]]], [[2, 4, 9, 5, 1], [v = -2^(1/2), u = -3^(1/2), 1 < x, And(x < y,y < x+2
), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1816187/1048576, -3632373/2097152], [2, 2], [3, 3], [-2, -2]]]], [[2, 4, 9, 5,
2], [v = -2^(1/2), u = -3^(1/2), 1 < x, And(x < y,y < x+2), z = -(y-x)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [2, 2], [3, 3], [-1, -1]]]], [[2, 4, 9, 5, 3], [v = -2^(1/2)
, u = -3^(1/2), 1 < x, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [2, 2], [3, 3], [0, 0]]]], [[2, 4, 9, 5, 4], [v = -2^(1/2),
u = -3^(1/2), 1 < x, And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [2, 2]
, [3, 3], [1, 1]]]], [[2, 4, 9, 5, 5], [v = -2^(1/2), u = -3^(1/2), 1 < x, And
(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455
/524288], [-1816187/1048576, -3632373/2097152], [2, 2], [3, 3], [2, 2]]]], [[2
, 7, 3, 5, 1], [v = -2^(1/2), And(v < u,u < -1), And(u^2-3 < x,x < -1), And(u^
2+x-1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [-2666417/2097152, -\
2666417/2097152], [-3415591/8388608, -3415591/8388608], [-2, -2]]]], [[2, 7, 3
, 5, 2], [v = -2^(1/2), And(v < u,u < -1), And(u^2-3 < x,x < -1), And(u^2+x-1
< y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/
2097152], [-3415591/8388608, -3415591/8388608], [-3899297/4194304, -7798593/
8388608]]]], [[2, 7, 3, 5, 3], [v = -2^(1/2), And(v < u,u < -1), And(u^2-3 < x
,x < -1), And(u^2+x-1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-2666417/2097152, -2666417/2097152], [-3415591/8388608, -\
3415591/8388608], [-1/16777216, -1/16777216]]]], [[2, 7, 3, 5, 4], [v = -2^(1/
2), And(v < u,u < -1), And(u^2-3 < x,x < -1), And(u^2+x-1 < y,y < 0), z = (y-x
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152], [-3415591/
8388608, -3415591/8388608], [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(u^2+x-1 < y,y
< 0), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
-1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152], [-\
3415591/8388608, -3415591/8388608], [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 = x-u^2+3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-3, -3], [-1527887/
1048576, -763943/524288], [-3, -3]]]], [[2, 13, 1, 6, 2], [v = -2^(1/2), And(1
< u,u < -v), x < u^2-3, y = x-u^2+3, z = -(-u^2+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-3, -3]
, [-1527887/1048576, -763943/524288], [-1302471/1048576, -651235/524288]]]], [
[2, 13, 1, 6, 3], [v = -2^(1/2), And(1 < u,u < -v), x < u^2-3, y = x-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], [-3, -3], [-\
1527887/1048576, -763943/524288], [0, 0]]]], [[2, 13, 1, 6, 4], [v = -2^(1/2),
And(1 < u,u < -v), x < u^2-3, y = x-u^2+3, z = (-u^2+3)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-3
, -3], [-1527887/1048576, -763943/524288], [651235/524288, 1302471/1048576]]]]
, [[2, 13, 1, 6, 5], [v = -2^(1/2), And(1 < u,u < -v), x < u^2-3, y = x-u^2+3,
(-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-3, -3], [-1527887/1048576, -763943/524288
], [3, 3]]]], [[2, 14, 5, 3, 1], [v = -2^(1/2), u = -v, And(0 < x,x < 1), And(
0 < y,y < x), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [
741455/524288, 1482911/1048576], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [0, 0], [-4, -4]]]
], [[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 = 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, 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 = 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, 6
, 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, 6, 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, 5, 9, 1], [And(-2^(1/2
) < v,v < -1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), x+3 < y, z < -(y-x)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152,
-7798593/4194304], [-1/2, -1/2], [4, 4], [-4, -4]]]], [[3, 2, 5, 9, 2], [And(-
2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), x+3 < y, z = -(y-x
)^(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, 9, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2),
And(-1 < x,x < 0), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1/2, -1/2], [4, 4], [0, 0]]]], [[3, 2, 5, 9, 4], [And(-2^(
1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), x+3 < y, z = (y-x)^(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, 9, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-1 < x
,x < 0), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1/2, -1/2], [4, 4],
[4, 4]]]], [[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(u^2-v^2+x+1 < y,y < 0), z < -(y-x)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304,
-3949363/4194304], [-2695357/2097152, -2695357/2097152], [-1794615/4194304, -\
1794615/4194304], [-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(u^2-v^2+x+1 < y,
y < 0), z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/
2097152], [-1794615/4194304, -1794615/4194304], [-3883701/4194304, -7767401/
8388608]]]], [[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(u^2-v^2+x+1 < y,y < 0), And(-(y-x)^(
1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/
2097152], [-1794615/4194304, -1794615/4194304], [-1/16777216, -1/16777216]]]],
[[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(u^2-v^2+x+1 < y,y < 0), z = (y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2695357/2097152, -2695357/2097152], [-1794615/4194304, -\
1794615/4194304], [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(u^2-v^2+x+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2695357/
2097152, -2695357/2097152], [-1794615/4194304, -1794615/4194304], [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 = z], [regular_chain, [[-1, -1], [-3, -3],
[-1, -1], [-9, -9], [0, 0]]]], [[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(0 < y,y < x-u^2+2), z < -(y-x)^(1/2)], [regular_chain, [
[-1, -1], [-1/2, -1/2], [-11/8, -11/8], [3/16, 3/16], [-3, -3]]]], [[4, 7, 3,
7, 2], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), And(0 < y,y < x-u^2+
2), z = -(y-x)^(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, 7, 3], [v = -1, And(-1 < u,u < 0),
And(u^2-2 < x,x < -1), And(0 < y,y < x-u^2+2), And(-(y-x)^(1/2) < z,z < (y-x)^
(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -11/8], [3/16, 3/16]
, [0, 0]]]], [[4, 7, 3, 7, 4], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x < -\
1), And(0 < y,y < x-u^2+2), z = (y-x)^(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, 7, 5], [v = -\
1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), And(0 < y,y < x-u^2+2), (y-x)^(1/
2) < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -11/8], [3/16, 3/16]
, [3, 3]]]], [[4, 8, 7, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = -1, u = 3^(1/2),
And(0 < x,x < 1), And(x < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[-1,
-1], [908093/524288, 1816187/1048576], [1/2, 1/2], [2, 2], [-3, -3]]]], [[4, 
14, 7, 7, 2], [v = -1, u = 3^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), z =
-(y-x)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [1
/2, 1/2], [2, 2], [-1284239/1048576, -642119/524288]]]], [[4, 14, 7, 7, 3], [v
= -1, u = 3^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), And(-(y-x)^(1/2) < z,
z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576]
, [1/2, 1/2], [2, 2], [0, 0]]]], [[4, 14, 7, 7, 4], [v = -1, u = 3^(1/2), And(
0 < x,x < 1), And(x < y,y < x+3), z = (y-x)^(1/2)], [regular_chain, [[-1, -1],
[908093/524288, 1816187/1048576], [1/2, 1/2], [2, 2], [642119/524288, 1284239/
1048576]]]], [[4, 14, 7, 7, 5], [v = -1, u = 3^(1/2), And(0 < x,x < 1), And(x
< y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [908093/524288, 
1816187/1048576], [1/2, 1/2], [2, 2], [3, 3]]]], [[5, 1, 1, 3, 1], [And(-1 < v
,v < 0), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(x-u^2+v^2+1 < y,y < x), z = z
], [regular_chain, [[-1/2, -1/2], [-3, -3], [-11, -11], [-119/8, -119/8], [0,
0]]]], [[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 = 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], [106039/524288, 212079/1048576], [-3, -3]]]], [[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 = 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], [106039/524288, 212079/1048576], [-19417/16384, -1242687/1048576]]]]
, [[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 = u^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], [106039/524288, 212079/1048576], [0,
0]]]], [[5, 5, 3, 8, 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], [106039/524288, 212079/1048576], [1242687/1048576,
19417/16384]]]], [[5, 5, 3, 8, 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], [106039/524288, 212079/1048576], [3, 3]]]], [[5, 6
, 7, 7, 1], [And(-1 < v,v < 0), u = v, 1 < x, x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2], [4, 4], [-3, -3]]]], [[5,
6, 7, 7, 2], [And(-1 < v,v < 0), u = v, 1 < x, x+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2], [4, 4], [-1482911/1048576,
-741455/524288]]]], [[5, 6, 7, 7, 3], [And(-1 < v,v < 0), u = v, 1 < x, x+1 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1/
2, -1/2], [2, 2], [4, 4], [0, 0]]]], [[5, 6, 7, 7, 4], [And(-1 < v,v < 0), u =
v, 1 < x, x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/
2], [2, 2], [4, 4], [741455/524288, 1482911/1048576]]]], [[5, 6, 7, 7, 5], [
And(-1 < v,v < 0), u = v, 1 < x, x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[
-1/2, -1/2], [-1/2, -1/2], [2, 2], [4, 4], [3, 3]]]], [[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), u^2-v
^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152
, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [2, 2], [-3, -3]]]],
[[5, 9, 3, 9, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+
v^2-1 < x,x < -1), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 3], [And(-1 <
v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x
+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2],
[1696631/2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [2,
2], [0, 0]]]], [[5, 9, 3, 9, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1
/2)), And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1
< x,x < -1), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2],
[1696631/2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [2,
2], [3, 3]]]], [[5, 10, 8, 1, 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], [-1, -1], [0, 0]]]], [[6, 1, 8, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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], [-2576463/1048576, -1288231/524288], [-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], [-2576463/1048576, -1288231/524288], [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], [-2576463/1048576, -1288231/524288], [1, 1]]]], [[6
, 9, 4, 1, 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], [-3, -3]
, [0, 0]]]], [[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 = x-u^2+v^2+1, z = z], [regular_chain, [
[1/2, 1/2], [-343151/262144, -343151/262144], [243021/1048576, 243021/1048576]
, [-121511/524288, -243021/1048576], [0, 0]]]], [[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 <
0), z < -(u^2-v^2+y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152,
-1696631/2097152], [-736367/524288, -1472733/1048576], [-3393259/8388608, -\
3393259/8388608], [-3, -3]]]], [[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 < 0), z = -(u^2-v
^2+y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-736367/524288, -1472733/1048576], [-3393259/8388608, -3393259/
8388608], [-1048577/1048576, -1]]]], [[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 < 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], [-\
3393259/8388608, -3393259/8388608], [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 <
0), z = (u^2-v^2+y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152,
-1696631/2097152], [-736367/524288, -1472733/1048576], [-3393259/8388608, -\
3393259/8388608], [1, 1048577/1048576]]]], [[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 < 0),
(u^2-v^2+y+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-736367/524288, -1472733/1048576], [-3393259/8388608, -\
3393259/8388608], [3, 3]]]], [[8, 1, 9, 5, 1], [v = 1, u < -3^(1/2), And(1 < x
,x < u^2-2), And(0 < y,y < x), 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 = 0, z < u], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [-2594959/1048576, -1297479/524288], [0, 0], [-3, -3]]]], [[
8, 3, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = 1, And(0 < u,u < 1), x = -1, And(u^2-1 < y,y < 0), z <
-(y+1)^(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(u^2-1 < y,y
< 0), z = -(y+1)^(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(u^2-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(u^2-1 < y,y < 0), z = (y
+1)^(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(u^2-1 < y,y < 0), (y+1)^(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 = -1, z < 0], [regular_chain, [[1, 1], [3, 3], [-1, -1], [-1, -1]
, [-1, -1]]]], [[8, 15, 4, 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, 4, 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, 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 = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3, -3], [0, 0], [-6860721/2097152, -\
6860721/2097152], [0, 0]]]], [[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-u^2+v^2+1 < y,y < u^2-v^2+x+
1), z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[9,
5, 9, 7, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(0 <
x,x < 1), And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]], [[9, 5, 9, 7, 3], [And(
1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(x-u^
2+v^2+1 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[9, 5, 9, 7, 4], [And(1
< v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(x-u^2+
v^2+1 < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [1/2, 1/2], [
3/2, 3/2], [1, 1]]]], [[9, 5, 9, 7, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^
(1/2) < u,u < -v), And(0 < x,x < 1), And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), (y-
x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[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
= -u^2+v^2-1, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-450371/1048576, -225185/524288], [-\
450371/1048576, -225185/524288], [-1, -1]]]], [[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 = -u^2+v^2-1, z =
0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-450371/1048576, -225185/524288], [-450371/1048576, -225185
/524288], [0, 0]]]], [[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 = -u^2+v^2-1, 0 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
450371/1048576, -225185/524288], [-450371/1048576, -225185/524288], [1, 1]]]],
[[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [239655/1048576,
239655/1048576], [2816117/1048576, 1408059/524288], [-3, -3]]]], [[9, 9, 7, 8,
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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [0, 0], [239655/1048576, 239655/1048576
], [2816117/1048576, 1408059/524288], [-410915/262144, -3287319/2097152]]]], [
[9, 9, 7, 8, 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-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], [239655/1048576, 239655/1048576], [2816117/1048576, 1408059/524288],
[-1/4194304, -1/4194304]]]], [[9, 9, 7, 8, 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 = x-u^2+v^2+
1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [0, 0], [239655/1048576, 239655/1048576], [2816117/1048576, 1408059/524288]
, [1643659/1048576, 410915/262144]]]], [[9, 9, 7, 8, 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 =
x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [239655/1048576, 239655/1048576], [2816117/1048576,
1408059/524288], [3, 3]]]], [[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, 0 < y, z < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-1646781/1048576, -3293561/2097152], [1, 1], [-3, -3]]]], [[9, 11,
2, 7, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1
, 0 < y, z = -(y-u^2+v^2+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, 7, 3], [
And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, 0 < y, 
And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-1646781
/1048576, -3293561/2097152], [1, 1], [0, 0]]]], [[9, 11, 2, 7, 4], [And(1 < v,
v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, 0 < y, z = (y-u^2+v
^2+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, 7, 5], [And(1 < v,v < 2^(1/2))
, And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, 0 < y, (y-u^2+v^2+1)^(1/2) < z]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341
/1048576], [-1646781/1048576, -3293561/2097152], [1, 1], [3, 3]]]], [[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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(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, 7, 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(x < y,y < u^2-v^2+x+1), z =
-(y-x)^(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, 7, 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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 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(x < y,y < u^2-v^2+x
+1), z = (y-x)^(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, 7,
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(x < y,y < u^2-v^2+x+1), (y-x)^(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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 9, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v
), And(u^2-3 < x,x < 0), u^2+x-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
1101539/4194304, -1101539/4194304], [3, 3], [-3, -3]]]], [[10, 5, 7, 9, 2], [v
= 2^(1/2), And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), u^2+x-1 < y, z = -(
y-x)^(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, 9, 3], [v = 2^(1/2), And(-3^(1/2
) < u,u < -v), And(u^2-3 < x,x < 0), u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-
x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [3, 3], [0,
0]]]], [[10, 5, 7, 9, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(u^2-3 <
x,x < 0), u^2+x-1 < y, z = (y-x)^(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, 9, 5],
[v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), u^2+x-1 < y, (y-
x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [3, 3], [3,
3]]]], [[10, 7, 4, 6, 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, 6, 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, 6, 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,
6, 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, 6, 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, 11, 7,
8, 1], [v = 2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), y = x-u^2+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, 8, 2], [v = 2^(1/2), 
And(0 < u,u < 1), And(0 < x,x < -u^2+1), y = x-u^2+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, 8, 3], [v = 2^
(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), y = x-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], [3/8, 3/8], [25/8, 25/8], [-1/4194304, -1/4194304]]]], [[10, 11,
7, 8, 4], [v = 2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), y = x-u^2+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, 8, 5], [v = 2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), y = x-u^2+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, 7, 1], [v = 2^(1/2), 
And(1 < u,u < v), x = u^2-3, 0 < y, z < -(y-u^2+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-3235683
/2097152, -1617841/1048576], [1, 1], [-3, -3]]]], [[10, 13, 2, 7, 2], [v = 2^(
1/2), And(1 < u,u < v), x = u^2-3, 0 < y, z = -(y-u^2+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, 7, 3], [v = 2^(1/2), And(1 < u,u < v), x = u
^2-3, 0 < y, And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+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, 7, 4], [v = 2^(1/2), And(1 < u,u < v), x = u^2-3, 0 < y, z = (y-u^2+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, 7, 5], [v = 2^(1/2), And(1 < u,u < v), x =
u^2-3, 0 < y, (y-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-3235683/2097152, -1617841/
1048576], [1, 1], [3, 3]]]], [[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(x-u^2+v^2+1 < y,
y < u^2-v^2+x+1), z < -(y-x)^(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(x-u^2+v^2+1 < y,y < u
^2-v^2+x+1), z = -(y-x)^(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(x-u^2+v^2+1 < y,y < u^2
-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x-u^2+v^
2+1 < y,y < u^2-v^2+x+1), z = (y-x)^(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(x-u^2+v^2+1 < y
,y < u^2-v^2+x+1), (y-x)^(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 < 0, z = z],
[regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [533035/
1048576, 133259/262144], [-1, -1], [0, 0]]]], [[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 = u^2-v^2+x+1, z
= z], [regular_chain, [[3, 3], [0, 0], [-11, -11], [-19, -19], [0, 0]]]], [[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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-3, -3], [-720033/262144, -720033/262144], [-2
, -2]]]], [[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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[3
, 3], [403851/131072, 403851/131072], [-3, -3], [-720033/262144, -720033/
262144], [-527729/1048576, -1055457/2097152]]]], [[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(x < y,y < x-u^2+v^2+1),
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [-3, -3], [-720033/262144, -720033/262144], [-1/
4194304, -1/4194304]]]], [[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(x < y,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-3, -3], [-720033/
262144, -720033/262144], [32983/65536, 527729/1048576]]]], [[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(x < y,y < x-u^
2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-3, -3], [-720033/262144, -720033/262144], [2, 2]]]], [[11, 18, 4, 1
, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -1, y < -1, z = z], [regular_chain,
[[3, 3], [207243/65536, 3315889/1048576], [-1, -1], [-2, -2], [0, 0]]]], [[1,
1, 10, 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 = z], [regular_chain, [[-3, -3], [-5, -5], [15, 15], [15/2, 15/2
], [0, 0]]]], [[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 = z], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [-1, -1], [-3, -3], [0, 0]]]], [[1, 7, 10,
4, 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, 4, 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, 4, 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, 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(0 < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [
-22960369/8388608, -22960369/8388608], [-1/2, -1/2], [2105899/2097152, 2105899
/2097152], [-3, -3]]]], [[1, 9, 5, 7, 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-u^2+v^2+1), z = -(y-
x)^(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, 7, 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-u^2+v^2+1), And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [-1/2, -1/2], [2105899/2097152, 2105899/2097152], [0, 0]]]], [[1, 9,
5, 7, 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-u^2+v^2+1), z = (y-x)^(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, 7, 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-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [-1/2, -1/2], [2105899/2097152, 2105899/2097152],
[3, 3]]]], [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3,
-3], [6111549/2097152, 6111549/2097152], [-3, -3], [-391287/262144, -1565147/
1048576], [-3, -3]]]], [[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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3, -3], [-\
391287/262144, -1565147/1048576], [-1287385/1048576, -160923/131072]]]], [[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 =
x-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], [-3, -3], [-\
391287/262144, -1565147/1048576], [0, 0]]]], [[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 = x-u^2+v^2+1, z = (-u^2+v^2+1
)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3,
-3], [-391287/262144, -1565147/1048576], [160923/131072, 1287385/1048576]]]],
[[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-3, -3], [-391287/262144, -1565147/1048576
], [3, 3]]]], [[1, 16, 5, 3, 1], [v < -2^(1/2), u = -v, And(0 < x,x < 1), And(
0 < y,y < x), z = z], [regular_chain, [[-3, -3], [3, 3], [1/2, 1/2], [1/4, 1/4
], [0, 0]]]], [[1, 21, 1, 5, 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 < -(y-x)^(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(x < y,y < u^2-v^2+x+1), z = -(y-x)
^(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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z
,z < (y-x)^(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(x < y,y < u^2-v^2+x+1), z = (y-x)^(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(x < y,y
< u^2-v^2+x+1), (y-x)^(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 = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3,
-3], [-1, -1], [-8, -8], [0, 0]]]], [[2, 10, 9, 2, 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, 2, 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, 2, 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, 2, 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, 17, 1, 8, 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, 8, 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,
8, 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, 8
, 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, 8, 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, 4, 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, 4, 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, 4, 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, 4, 9, 1, 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], [-1, -1], [0, 0]
]]], [[3, 6, 3, 3, 1], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 0), 
And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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, 3, 3], [And(-2^(1/2) < v,v < -1),
u = v, And(-1 < x,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4],
[And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 0), And(x < y,y < 0), z = (y-
x)^(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, 3, 5], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 0), And(x < y,y < 0
), (y-x)^(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, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [1, 1], [-3, -3]
]]], [[3, 11, 1, 9, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -
v), x < u^2-v^2-1, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [1, 1]
, [-2, -2]]]], [[3, 11, 1, 9, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2)
< u,u < -v), x < u^2-v^2-1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-3, -3], [1, 1], [0, 0]]]], [[3, 11, 1, 9, 4], [And(-2^(1/2) < v,v
< -1), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, 0 < y, z = (y-x)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341
/1048576], [-3, -3], [1, 1], [2, 2]]]], [[3, 11, 1, 9, 5], [And(-2^(1/2) < v,v
< -1), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, 0 < y, (y-x)^(1/2) < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341
/1048576], [-3, -3], [1, 1], [3, 3]]]], [[3, 12, 5, 6, 1], [And(-2^(1/2) < v,v
< -1), u = -v, And(0 < x,x < 1), y = x+1, 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, 6, 2], [And(-2^(1/2) < v,v < -1), u = -v, 
And(0 < x,x < 1), y = x+1, 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, 6, 3], [And(-2^(1/2) < v,v < -1), u = -v, And(0 < x,x
< 1), y = x+1, 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, 6, 4], [And(-2^(1/2) < v,v < -1), u = -v, And(0 < x,x <
1), y = x+1, 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, 6, 5], [And(-2^(1/2) < v,v < -1), u = -v, And(0 < x,x < 1), y = x+1, 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, 2, 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, 2, 7, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2
)^(1/2), x = -3, 0 < y, z < -(y+3)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [121853/65536, 1949649/1048576], [-3, -3], [1, 1], [-3, -3]
]]], [[3, 16, 2, 7, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -3,
0 < y, z = -(y+3)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [121853/65536, 1949649/1048576], [-3, -3], [1, 1], [-2, -2]]]], [[3, 16, 2,
7, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -3, 0 < y, And(-(y+3)
^(1/2) < z,z < (y+3)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [-3, -3], [1, 1], [0, 0]]]], [[3, 
16, 2, 7, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -3, 0 < y, z =
(y+3)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/
65536, 1949649/1048576], [-3, -3], [1, 1], [2, 2]]]], [[3, 16, 2, 7, 5], [And(
-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -3, 0 < y, (y+3)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-3, -3], [1, 1], [3, 3]]]], [[4, 3, 3, 5, 1], [v = -1, And(-3^(1/2)
< u,u < -2^(1/2)), And(-u^2 < x,x < -1), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x
< y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y
< 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 < -u^2, z = z], [regular_chain,
[[-1, -1], [1265743/1048576, 1265743/1048576], [-1527887/1048576, -763943/
524288], [-3, -3], [0, 0]]]], [[4, 12, 5, 5, 1], [v = -1, u = 2^(1/2), And(-1
< x,x < 0), And(0 < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1],
[741455/524288, 1482911/1048576], [-1/2, -1/2], [3/4, 3/4], [-3, -3]]]], [[4,
12, 5, 5, 2], [v = -1, u = 2^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), z =
-(y-x)^(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, 5,
3], [v = -1, u = 2^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), And(-(y-x)^(1
/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [-1/2, -1/2], [3/4, 3/4], [0, 0]]]], [[4, 12, 5, 5, 4], [v = -1, u =
2^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), z = (y-x)^(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, 5, 5], [v = -1, u = 2
^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-1/2, -1/2], [3/4
, 3/4], [3, 3]]]], [[5, 1, 7, 2, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), 
And(0 < x,x < 1), y = x-u^2+v^2+1, z = z], [regular_chain, [[-1/2, -1/2], [-3,
-3], [1/2, 1/2], [-29/4, -29/4], [0, 0]]]], [[5, 2, 9, 7, 1], [And(-1 < v,v <
0), u = -(v^2+2)^(1/2), 1 < x, And(x < y,y < x+3), z < -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [2, 2], [7/2, 7/2], [-3, -3]]]], [
[5, 2, 9, 7, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), 1 < x, And(x < y,y <
x+3), z = -(y-x)^(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, 7, 3], [And(-1 <
v,v < 0), u = -(v^2+2)^(1/2), 1 < x, And(x < y,y < x+3), And(-(y-x)^(1/2) < z,
z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [2, 2], [7/2,
7/2], [0, 0]]]], [[5, 2, 9, 7, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), 1 <
x, And(x < y,y < x+3), z = (y-x)^(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, 7,
5], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), 1 < x, And(x < y,y < x+3), (y-x)^(
1/2) < z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [2, 2], [7/2, 7/2], [3
, 3]]]], [[5, 12, 9, 6, 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, 6, 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, 6, 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,
3, 2, 1], [v = 0, u < -2^(1/2), And(-u^2-1 < x,x < -1), y = x-u^2+1, z = z], [
regular_chain, [[0, 0], [-3, -3], [-11/2, -11/2], [-27/2, -27/2], [0, 0]]]], [
[6, 5, 5, 5, 1], [v = 0, And(-1 < u,u < 0), And(-1 < x,x < u^2-1), And(x-u^2+1
< y,y < 0), z < -(y-x)^(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(x-u^2+1 < y,y < 0), z = -(y-x)^(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(x-u^2+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^
(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(x-u^2+1 < y,y < 0), z = (y-x)^(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(x-u^2+1 < y,y < 0), (y-x)^(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 = 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, 6, 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, 6, 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, 6, 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, 6, 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
, 7, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y
< u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [1/2
, 1/2], [43/8, 43/8], [-4, -4]]]], [[7, 1, 7, 7, 2], [And(0 < v,v < 1), u < -(
v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 7, 3], [And(0 < v,v < 1), u < -(v^2+2
)^(1/2), And(0 < x,x < 1), And(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [1/2, 1/2], [43/8, 43/
8], [0, 0]]]], [[7, 1, 7, 7, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(0
< x,x < 1), And(x < y,y < u^2-v^2+x+1), z = (y-x)^(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, 7, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(0 < x,x < 1)
, And(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
-3, -3], [1/2, 1/2], [43/8, 43/8], [4, 4]]]], [[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(x-u^2+v^2+
1 < y,y < x), z = z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [-4, -4], [-4437325/1048576, -4437325/1048576], [0, 0]]]], [[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 = 0,
z < -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [0, 0], [
-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 = 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, 4, 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, 4, 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, 4, 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, 5, 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 < -(y+1)^(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(-u^2+v^2 < y,y < 0), z = -(y+1)^(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(-u^2+v^2 < y,y < 0
), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-u^2+v^2 < y,y < 0), z = (y+1)^(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(-u^2+v^
2 < y,y < 0), (y+1)^(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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [
[1/2, 1/2], [343151/262144, 343151/262144], [-1/2, -1/2], [1029453/524288, 
2058907/1048576], [-3, -3]]]], [[7, 11, 5, 8, 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], [1029453/524288, 2058907/1048576], [-3291611/2097152, -1645805/
1048576]]]], [[7, 11, 5, 8, 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], [1029453/524288, 2058907/1048576], [0, 0]]]], [[7, 11,
5, 8, 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], [1029453/524288, 2058907/
1048576], [1645805/1048576, 822903/524288]]]], [[7, 11, 5, 8, 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], [1029453/524288, 2058907/1048576], [3, 3]]]], [[
7, 12, 7, 9, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(0 < x,x < 1), x+3 <
y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [1/2, 1/2], [5,
5], [-4, -4]]]], [[7, 12, 7, 9, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(
0 < x,x < 1), x+3 < y, z = -(y-x)^(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, 9
, 3], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y, And(-(y
-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [1/2
, 1/2], [5, 5], [0, 0]]]], [[7, 12, 7, 9, 4], [And(0 < v,v < 1), u = (v^2+2)^(
1/2), And(0 < x,x < 1), x+3 < y, z = (y-x)^(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, 9, 5], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y,
(y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [1/2, 1/2], [5, 5],
[4, 4]]]], [[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-u^2+2, z = z], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [1546383/2097152, 1546383/2097152], [275385/1048576, 137693/
524288], [0, 0]]]], [[8, 5, 4, 3, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = -1
, And(-1 < y,y < -u^2+1), z < -(y+1)^(1/2)], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [-1527887/2097152, -1527887/
2097152], [-2, -2]]]], [[8, 5, 4, 3, 2], [v = 1, And(-2^(1/2) < u,u < -1), x =
-1, And(-1 < y,y < -u^2+1), z = -(y+1)^(1/2)], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [-1527887/2097152, -1527887/
2097152], [-273157/524288, -1092627/2097152]]]], [[8, 5, 4, 3, 3], [v = 1, And
(-2^(1/2) < u,u < -1), x = -1, And(-1 < y,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], [-1527887/2097152, -1527887/2097152], [-1/4194304, -1/4194304]]]],
[[8, 5, 4, 3, 4], [v = 1, And(-2^(1/2) < u,u < -1), x = -1, And(-1 < y,y < -u^
2+1), z = (y+1)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-1, -1], [-1527887/2097152, -1527887/2097152], [546313/1048576, 
273157/524288]]]], [[8, 5, 4, 3, 5], [v = 1, And(-2^(1/2) < u,u < -1), x = -1,
And(-1 < y,y < -u^2+1), (y+1)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-1, -1], [-1527887/2097152, -1527887/2097152], [2
, 2]]]], [[8, 11, 7, 7, 1], [v = 1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x <
0), And(x-u^2+2 < y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [
1527887/2097152, 1527887/2097152], [-2, -2]]]], [[8, 11, 7, 7, 2], [v = 1, And
(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), And(x-u^2+2 < y,y < u^2+x), z = -(y
-x)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-\
569265/2097152, -569265/2097152], [1527887/2097152, 1527887/2097152], [-1, -1]
]]], [[8, 11, 7, 7, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0),
And(x-u^2+2 < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-569265/2097152,
-569265/2097152], [1527887/2097152, 1527887/2097152], [0, 0]]]], [[8, 11, 7, 7
, 4], [v = 1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), And(x-u^2+2 < y,y
< u^2+x), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743
/1048576], [-569265/2097152, -569265/2097152], [1527887/2097152, 1527887/
2097152], [1, 1]]]], [[8, 11, 7, 7, 5], [v = 1, And(1 < u,u < 2^(1/2)), And(u^
2-2 < x,x < 0), And(x-u^2+2 < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain,
[[1, 1], [1265743/1048576, 1265743/1048576], [-569265/2097152, -569265/2097152
], [1527887/2097152, 1527887/2097152], [2, 2]]]], [[8, 13, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 2, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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 < -
(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [-1/2, -1/2], [3, 3], [-3, -3]]]], [[9, 3, 5, 9,
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), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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),
u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1
/2, -1/2], [3, 3], [0, 0]]]], [[9, 3, 5, 9, 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), u^2-v^2+x+1 < y, z =
(y-x)^(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, 9, 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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1/2, -1/2], [3, 3], [3, 3]]]], [[9, 13, 8, 1, 1], [And(1
< v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 0, y < 0, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [0, 0], [-1, -1], [0, 0]]]], [[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 =
x-u^2+v^2+1, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [-3647693/2097152, -3647693/2097152], [-581453/
262144, -2325811/1048576], [0, 0]]]], [[10, 2, 2, 2, 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, 6, 3, 1], [v = 2^(1/2), And(-2
< u,u < -3^(1/2)), x = 0, And(-u^2+3 < y,y < 0), z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [0, 0],
[-505467/2097152, -505467/2097152], [0, 0]]]], [[10, 9, 8, 2, 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, 3, 1], [v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, And(u^2+x-1 < y,y < x
), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-4,
-4], [-35/8, -35/8], [0, 0]]]], [[10, 15, 8, 1, 1], [v = 2^(1/2), And(v < u,u
< 3^(1/2)), x = 0, y < 0, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [0, 0], [-1, -1], [0, 0]]]], [[
10, 17, 3, 2, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1)
, y = x-u^2+3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [
3913339/2097152, 3913339/2097152], [-3651195/2097152, -3651195/2097152], [-\
2331065/1048576, -291383/131072], [0, 0]]]], [[10, 19, 2, 7, 1], [v = 2^(1/2),
2 < u, x = -u^2+1, 0 < y, z < -(u^2+y-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [-8, -8], [1, 1], [-4, -4]]]], [[10, 19, 2,
7, 2], [v = 2^(1/2), 2 < u, x = -u^2+1, 0 < y, z = -(u^2+y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-8, -8], [1, 1], [-\
3, -3]]]], [[10, 19, 2, 7, 3], [v = 2^(1/2), 2 < u, x = -u^2+1, 0 < y, 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, 7, 4], [v
= 2^(1/2), 2 < u, x = -u^2+1, 0 < y, z = (u^2+y-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [-8, -8], [1, 1], [3, 3]]]], [[10, 19
, 2, 7, 5], [v = 2^(1/2), 2 < u, x = -u^2+1, 0 < y, (u^2+y-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-8, -8], [1, 1], [4
, 4]]]], [[11, 1, 4, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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 = 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], [1300363/
1048576, 325091/262144], [-3, -3]]]], [[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 = 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], [1300363/1048576, 325091/262144], [-\
1281417/1048576, -160177/131072]]]], [[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 = u^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], [1300363/
1048576, 325091/262144], [0, 0]]]], [[11, 5, 7, 8, 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], [1300363/1048576, 325091/262144], [160177/
131072, 1281417/1048576]]]], [[11, 5, 7, 8, 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], [1300363/1048576, 325091/262144], [3, 3]]]], [[11,
7, 4, 5, 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 < -(y+1)^(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(u^2
-v^2 < y,y < 0), z = -(y+1)^(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(u^2-v^2 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1
)^(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(u^2-v^2 < y
,y < 0), z = (y+1)^(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(u^2-v^2 < y,y < 0), (y+1)^(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 < u^2-v^2+x+1, z = z], [regular_chain, [[3,
3], [1435023/524288, 1435023/524288], [-4, -4], [-6, -6], [0, 0]]]], [[11, 14,
3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 < 0), 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, 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^2-1 < y,y < 0), 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, 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^2-1 < 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], [3396811/1048576, 3396811/1048576],
[-2615197/1048576, -653799/262144], [-653799/524288, -653799/524288], [0, 0]]]
], [[11, 19, 2, 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^2-1 < y,y < 0), 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, 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^2-1 < y,y < 0), (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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [-66399/524288,
-66399/524288], [-2, -2]]]], [[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(x < y,y < 0), z = -(y-x)^(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, 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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/
2))], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1062385/
4194304, -1062385/4194304], [-66399/524288, -66399/524288], [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(x < y,y < 0), z = (y-x)^(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, 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(x < y,y < 0
), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [-1062385/4194304, -1062385/4194304], [-66399/524288, -66399/524288],
[2, 2]]]], [[1, 7, 4, 4, 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], [-2
, -2]]]], [[1, 7, 4, 4, 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], [-\
735979/1048576, -1471957/2097152]]]], [[1, 7, 4, 4, 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], [-1/4194304, -1/
4194304]]]], [[1, 7, 4, 4, 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], [367989/524288, 735979/1048576]]]], [[1, 7, 4, 4, 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], [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 < -y^(1/2)
], [regular_chain, [[-3, -3], [0, 0], [0, 0], [11, 11], [-5, -5]]]], [[1, 11,
6, 7, 2], [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 = -y^(1/2)], [regular_chain, [[-3, -3], [0, 0], [0, 0], [11, 11
], [-1738867/524288, -3477733/1048576]]]], [[1, 11, 6, 7, 3], [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, And(-y^(1/2)
< z,z < y^(1/2))], [regular_chain, [[-3, -3], [0, 0], [0, 0], [11, 11], [0, 0]
]]], [[1, 11, 6, 7, 4], [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 = y^(1/2)], [regular_chain, [[-3, -3], [0, 0], [0
, 0], [11, 11], [3477733/1048576, 1738867/524288]]]], [[1, 11, 6, 7, 5], [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, y^
(1/2) < z], [regular_chain, [[-3, -3], [0, 0], [0, 0], [11, 11], [5, 5]]]], [[
1, 12, 9, 5, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), 1 < x, And(x-1 < y,y < 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, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3
, -3], [3396811/1048576, 3396811/1048576], [-4, -4], [1, 1], [-4, -4]]]], [[1,
19, 1, 9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576
, 3396811/1048576], [-4, -4], [1, 1], [-146543/65536, -2344687/1048576]]]], [[
1, 19, 1, 9, 3], [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, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
3, -3], [3396811/1048576, 3396811/1048576], [-4, -4], [1, 1], [0, 0]]]], [[1,
19, 1, 9, 4], [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 = (y-x)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576,
3396811/1048576], [-4, -4], [1, 1], [2344687/1048576, 146543/65536]]]], [[1, 
19, 1, 9, 5], [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, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [3396811/1048576,
3396811/1048576], [-4, -4], [1, 1], [4, 4]]]], [[1, 20, 4, 5, 1], [v < -2^(1/2
), u = (v^2+2)^(1/2), x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(
-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z =
(y+1)^(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(-1 < y,y < 0), (y+1)^(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 < x-u^2+3, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2], [-2, -2],
[0, 0]]]], [[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 = 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, 6, 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, 6, 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, 6, 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, 6, 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
, 8, 7, 5, 1], [v = -2^(1/2), u = -1, And(0 < x,x < 1), And(x < y,y < x+2), z
< -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1]
, [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[2, 8, 7, 5, 2], [v = -2^(1/2), u = -1
, And(0 < x,x < 1), And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]
], [[2, 8, 7, 5, 3], [v = -2^(1/2), u = -1, And(0 < x,x < 1), And(x < y,y < x+
2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576
, -741455/524288], [-1, -1], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[2, 8, 7, 5,
4], [v = -2^(1/2), u = -1, And(0 < x,x < 1), And(x < y,y < x+2), z = (y-x)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [1/2, 1/2]
, [3/2, 3/2], [1, 1]]]], [[2, 8, 7, 5, 5], [v = -2^(1/2), u = -1, And(0 < x,x
< 1), And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576
, -741455/524288], [-1, -1], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[2, 13, 1, 5,
1], [v = -2^(1/2), And(1 < u,u < -v), x < u^2-3, And(u^2+x-1 < y,y < x-u^2+3),
z < -(y-x)^(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-1 < y,y < x-u^
2+3), z = -(y-x)^(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-1 < y,y < x-u
^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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-1 < y,y < x-u^2+3), z = (y-x)^(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-1 < y,y < x-u^2+3), (y-x)^(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 =
0, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288
, 1482911/1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[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(0 < y,y
< u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [494331/
262144, 494331/262144], [-4, -4]]]], [[3, 1, 3, 7, 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 < u^2-v^2+x+1)
, z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3, -3], [-10006449/2097152, -10006449/2097152], [494331/262144, 494331/262144]
, [-2705483/1048576, -5410965/2097152]]]], [[3, 1, 3, 7, 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 < u^2-v^
2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152],
[494331/262144, 494331/262144], [-1/4194304, -1/4194304]]]], [[3, 1, 3, 7, 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 < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [494331/
262144, 494331/262144], [1352741/524288, 2705483/1048576]]]], [[3, 1, 3, 7, 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 < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152],
[494331/262144, 494331/262144], [4, 4]]]], [[3, 2, 6, 1, 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], [-2, -2], [0, 0]]]], [[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 = 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], [-3589231/
4194304, -1794615/2097152], [-2, -2]]]], [[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 = 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], [-3589231/4194304, -1794615/2097152], [-1374407/2097152, -687203/
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 = u^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], [-3589231/4194304, -1794615/2097152], [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 = 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], [-3589231/4194304, -1794615/2097152], [687203/
1048576, 171801/262144]]]], [[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 = 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], [-\
3589231/4194304, -1794615/2097152], [2, 2]]]], [[3, 8, 7, 3, 1], [And(-2^(1/2)
< v,v < -1), u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(0 < y,y < x), 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, 9, 1], [v = -1,
u < -3^(1/2), And(-u^2 < x,x < -1), u^2+x < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [-5, -5], [5, 5], [-5, -5]]]], [[4, 1, 3,
9, 2], [v = -1, u < -3^(1/2), And(-u^2 < x,x < -1), u^2+x < y, z = -(y-x)^(1/2
)], [regular_chain, [[-1, -1], [-3, -3], [-5, -5], [5, 5], [-3315889/1048576,
-207243/65536]]]], [[4, 1, 3, 9, 3], [v = -1, u < -3^(1/2), And(-u^2 < x,x < -\
1), u^2+x < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -\
1], [-3, -3], [-5, -5], [5, 5], [0, 0]]]], [[4, 1, 3, 9, 4], [v = -1, u < -3^(
1/2), And(-u^2 < x,x < -1), u^2+x < y, z = (y-x)^(1/2)], [regular_chain, [[-1,
-1], [-3, -3], [-5, -5], [5, 5], [207243/65536, 3315889/1048576]]]], [[4, 1, 3
, 9, 5], [v = -1, u < -3^(1/2), And(-u^2 < x,x < -1), u^2+x < y, (y-x)^(1/2) <
z], [regular_chain, [[-1, -1], [-3, -3], [-5, -5], [5, 5], [5, 5]]]], [[4, 2,
6, 3, 1], [v = -1, u = -3^(1/2), x = 0, And(-1 < y,y < 0), z = z], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [0, 0], [-1/2,
-1/2], [0, 0]]]], [[4, 7, 3, 8, 1], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,
x < -1), y = x-u^2+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, 8, 2], [v = -1, And
(-1 < u,u < 0), And(u^2-2 < x,x < -1), y = x-u^2+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, 8, 3], [v = -1, And(-1 < u,u < 0), And(
u^2-2 < x,x < -1), y = x-u^2+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, 8, 4], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), y = x-u
^2+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, 8, 5], [v = -1
, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), y = x-u^2+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, 7, 7, 1], [v = -1, u = 0, And(0 < x,x < 1), x+2 < y, z < -(y-x)^(1/2
)], [regular_chain, [[-1, -1], [0, 0], [1/2, 1/2], [4, 4], [-3, -3]]]], [[4, 8
, 7, 7, 2], [v = -1, u = 0, And(0 < x,x < 1), x+2 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [1/2, 1/2], [4, 4], [-7846825/4194304, -\
980853/524288]]]], [[4, 8, 7, 7, 3], [v = -1, u = 0, And(0 < x,x < 1), x+2 < y
, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [0, 0], [
1/2, 1/2], [4, 4], [0, 0]]]], [[4, 8, 7, 7, 4], [v = -1, u = 0, And(0 < x,x <
1), x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [1/2, 1/2],
[4, 4], [980853/524288, 1961707/1048576]]]], [[4, 8, 7, 7, 5], [v = -1, u = 0,
And(0 < x,x < 1), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [0, 0]
, [1/2, 1/2], [4, 4], [3, 3]]]], [[4, 14, 7, 6, 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, 6, 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
, 6, 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]]
]], [[5, 1, 1, 2, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x < -u^2+v^2-1,
y = x-u^2+v^2+1, z = z], [regular_chain, [[-1/2, -1/2], [-3, -3], [-11, -11],
[-75/4, -75/4], [0, 0]]]], [[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), u^2-v^2+x+1 < y, z < -(y-x)^(1/2
)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-\
2521309/2097152, -2521309/2097152], [2, 2], [-3, -3]]]], [[5, 5, 3, 9, 2], [
And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1),
u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 3], [And(-1 < v,v < 0), And
(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [2, 2], [0,
0]]]], [[5, 5, 3, 9, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), 
And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 5
], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -\
1), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [2,
2], [3, 3]]]], [[5, 7, 1, 1, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x < u^
2-v^2-1, y < x, z = z], [regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [-4,
-4], [0, 0]]]], [[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 = 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], [106039/524288, 212079/1048576], [-3, -3]]]], [[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 = 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
], [106039/524288, 212079/1048576], [-19417/16384, -1242687/1048576]]]], [[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 = u^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], [106039/524288, 212079/1048576], [0, 0]]]]
, [[5, 9, 3, 8, 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], [106039/524288, 212079/1048576], [1242687/1048576, 19417/16384]]]],
[[5, 9, 3, 8, 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], [106039/524288, 212079/1048576], [3, 3]]]], [[5, 10, 7, 7, 1], [And(
-1 < v,v < 0), u = (v^2+1)^(1/2), And(0 < x,x < 1), x+2 < y, z < -(y-x)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [1/2, 1/2],
[4, 4], [-3, -3]]]], [[5, 10, 7, 7, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2),
And(0 < x,x < 1), x+2 < y, z = -(y-x)^(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, 7, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), 
And(0 < x,x < 1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [1/2, 1/2], [4
, 4], [0, 0]]]], [[5, 10, 7, 7, 4], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And
(0 < x,x < 1), x+2 < y, z = (y-x)^(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, 7, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(0 <
x,x < 1), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1172343/
1048576, 146543/131072], [1/2, 1/2], [4, 4], [3, 3]]]], [[6, 1, 8, 9, 1], [v =
0, u < -2^(1/2), x = 1, u^2+2 < y, z < -(y-1)^(1/2)], [regular_chain, [[0, 0],
[-3, -3], [1, 1], [12, 12], [-5, -5]]]], [[6, 1, 8, 9, 2], [v = 0, u < -2^(1/2
), x = 1, u^2+2 < y, z = -(y-1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [1,
1], [12, 12], [-1738867/524288, -3477733/1048576]]]], [[6, 1, 8, 9, 3], [v = 0
, u < -2^(1/2), x = 1, u^2+2 < y, 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, 9, 4
], [v = 0, u < -2^(1/2), x = 1, u^2+2 < y, z = (y-1)^(1/2)], [regular_chain, [
[0, 0], [-3, -3], [1, 1], [12, 12], [3477733/1048576, 1738867/524288]]]], [[6,
1, 8, 9, 5], [v = 0, u < -2^(1/2), x = 1, u^2+2 < y, (y-1)^(1/2) < z], [
regular_chain, [[0, 0], [-3, -3], [1, 1], [12, 12], [5, 5]]]], [[6, 3, 2, 5, 1
], [v = 0, And(-2^(1/2) < u,u < -1), x = -u^2-1, And(-u^2-1 < y,y < 0), 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, 5, 2], [v = 0, And(-2^(1/2) < u,u < -1), x = -u^2-1, 
And(-u^2-1 < y,y < 0), 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, 5, 3], [v = 0, And(-2^(1/2) < u,u < -1), x = -u^2-1, And(-u^2-1 < y,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], [-\
1288231/1048576, -1288231/1048576], [0, 0]]]], [[6, 3, 2, 5, 4], [v = 0, And(-
2^(1/2) < u,u < -1), x = -u^2-1, And(-u^2-1 < y,y < 0), 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, 5, 5], [v = 0, And(-2^(1/2) < u,u < -1)
, x = -u^2-1, And(-u^2-1 < y,y < 0), (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, 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 < -(y-x)^(1/2)]
, [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1812519/
1048576, -1812519/1048576], [2, 2], [-3, -3]]]], [[6, 9, 3, 9, 2], [v = 0, And
(1 < u,u < 2^(1/2)), And(-u^2-1 < x,x < -1), u^2+x+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1812519/1048576,
-1812519/1048576], [2, 2], [-8098975/4194304, -16197949/8388608]]]], [[6, 9, 3
, 9, 3], [v = 0, And(1 < u,u < 2^(1/2)), And(-u^2-1 < x,x < -1), u^2+x+1 < y,
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [-1812519/1048576, -1812519/1048576], [2, 2], [-5/
16777216, -5/16777216]]]], [[6, 9, 3, 9, 4], [v = 0, And(1 < u,u < 2^(1/2)), 
And(-u^2-1 < x,x < -1), u^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[0, 0]
, [1265743/1048576, 1265743/1048576], [-1812519/1048576, -1812519/1048576], [2
, 2], [2024743/1048576, 253093/131072]]]], [[6, 9, 3, 9, 5], [v = 0, And(1 < u
,u < 2^(1/2)), And(-u^2-1 < x,x < -1), u^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1812519/1048576,
-1812519/1048576], [2, 2], [3, 3]]]], [[6, 10, 6, 3, 1], [v = 0, u = 2^(1/2),
x = 0, And(-1 < y,y < 0), z = z], [regular_chain, [[0, 0], [741455/524288, 
1482911/1048576], [0, 0], [-1/2, -1/2], [0, 0]]]], [[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(x-u^2+v^2+1 < 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 6, 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,
6, 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, 6, 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, 2, 7, 1], [v = 1, And(-3^(1
/2) < u,u < -2^(1/2)), x = -u^2, 0 < y, 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, 7, 2], [v = 1, And(-3^(1/2) < u,u < -
2^(1/2)), x = -u^2, 0 < y, 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, 7, 3], [v = 1, And(-3^(
1/2) < u,u < -2^(1/2)), x = -u^2, 0 < y, 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, 7, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, 0 < y, 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, 7, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, 0 < y, (
u^2+y)^(1/2) < z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [-2594959/1048576, -1297479/524288], [1, 1], [3, 3]]]], [[8, 7, 9, 5
, 1], [v = 1, And(-1 < u,u < 0), And(0 < x,x < 1), And(x < y,y < u^2+x), z < -
(y-x)^(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
(x < y,y < u^2+x), z = -(y-x)^(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(x < y,y < u^2+x), And(-(y-x)^
(1/2) < z,z < (y-x)^(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(x < y,y < u^2+x), z = (y-x)^(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(x < y,y < u^2+x), (
y-x)^(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 = u^2-1, z
< -u], [regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [-3/4, -3/4], [-2, -2]]]
], [[8, 9, 4, 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], [-3/4, -3/4], [-1/2, -1/2]]]], [
[8, 9, 4, 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], [-3/4, -3/4], [0, 0]]]], [[
8, 9, 4, 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], [-3/4, -3/4], [1/2, 1/2]]]], [[8
, 9, 4, 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], [-3/4, -3/4], [2, 2]]]], [[8, 15
, 4, 5, 1], [v = 1, 3^(1/2) < u, x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y
,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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-u^
2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [1/2, 1/2], [1082627/1048576,
270657/262144], [-2, -2]]]], [[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-u^2+v^2+1, z = -(-u^2+v^2+1)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [1/2, 1/2], [1082627/1048576, 270657/262144], [-\
1530309/2097152, -382577/524288]]]], [[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-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], [1/2, 1/2], [1082627
/1048576, 270657/262144], [0, 0]]]], [[9, 5, 9, 6, 4], [And(1 < v,v < 2^(1/2))
, And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = x-u^2+v^2+1, z = (-u^2
+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805
/4194304, -5818805/4194304], [1/2, 1/2], [1082627/1048576, 270657/262144], [
382577/524288, 765155/1048576]]]], [[9, 5, 9, 6, 5], [And(1 < v,v < 2^(1/2)),
And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = x-u^2+v^2+1, (-u^2+v^2+1
)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [1/2, 1/2], [1082627/1048576, 270657/262144], [2,
2]]]], [[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 < -u^2+v^2-1, z = z], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -\
225185/524288], [-2, -2], [0, 0]]]], [[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), x-u^2+
v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [239655/1048576, 239655/1048576], [4, 4], [-3, -3]]]], [[9,
9, 7, 9, 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), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [239655/1048576, 
239655/1048576], [4, 4], [-32581713/16777216, -2036357/1048576]]]], [[9, 9, 7,
9, 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), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [239655/
1048576, 239655/1048576], [4, 4], [0, 0]]]], [[9, 9, 7, 9, 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)
, x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [239655/1048576, 239655/1048576], [4, 4], [2036357/
1048576, 1018179/524288]]]], [[9, 9, 7, 9, 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), x-u^2+v^2+1 <
y, (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0,
0], [239655/1048576, 239655/1048576], [4, 4], [3, 3]]]], [[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 < x, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341
/1048576, 987341/1048576], [-5390713/4194304, -5390713/4194304], [-3, -3], [0,
0]]]], [[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 = 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, 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], [775271/1048576, 775271/
1048576], [775271/1048576, 775271/1048576], [0, 0]]]], [[9, 15, 9, 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], [775271/1048576, 775271/1048576], [775271/
1048576, 775271/1048576], [1, 1]]]], [[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 < 0), 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, 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^2-1 < y,y < 0), 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, 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^2-1 < 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], [3, 3],
[-4478937/524288, -8957873/1048576], [-8957873/2097152, -8957873/2097152], [0,
0]]]], [[9, 17, 2, 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^2-1 < y,y < 0), 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, 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^2-1 < y,y < 0), (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, 8, 1, 1], [v = 2^(1/2)
, And(-3^(1/2) < u,u < -v), x = 0, y < 0, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [0, 0], [-1, -\
1], [0, 0]]]], [[10, 7, 4, 7, 1], [v = 2^(1/2), And(-v < u,u < -1), x = -1, 
And(0 < y,y < -u^2+2), z < -(y+1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [569265/
2097152, 569265/2097152], [-3, -3]]]], [[10, 7, 4, 7, 2], [v = 2^(1/2), And(-v
< u,u < -1), x = -1, And(0 < y,y < -u^2+2), z = -(y+1)^(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, 7, 3], [v = 2^(1/2), And(-v < u,u < -1), x = -1, And(0 < y,y < -u^
2+2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[741455/524288,
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [569265/
2097152, 569265/2097152], [0, 0]]]], [[10, 7, 4, 7, 4], [v = 2^(1/2), And(-v <
u,u < -1), x = -1, And(0 < y,y < -u^2+2), z = (y+1)^(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, 7, 5], [v = 2^(1/2), And(-v < u,u < -1), x = -1, And(0 < y,y < -u^2+2)
, (y+1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [569265/2097152, 569265/2097152]
, [3, 3]]]], [[10, 11, 7, 7, 1], [v = 2^(1/2), And(0 < u,u < 1), And(0 < x,x <
-u^2+1), And(x < y,y < x-u^2+3), z < -(y-x)^(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, 7, 2], [v = 2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), And(x
< y,y < x-u^2+3), z = -(y-x)^(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, 7, 3], [v = 2^(1/2), And(0 < u,u < 1), And(0 < x,x <
-u^2+1), And(x < y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 4], [v = 2^(1/2), And(0 < u,u < 1), And(0 <
x,x < -u^2+1), And(x < y,y < x-u^2+3), z = (y-x)^(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, 7, 5], [v = 2^(1/2), And(0 < u,u < 1
), And(0 < x,x < -u^2+1), And(x < y,y < x-u^2+3), (y-x)^(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, 6, 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, 6, 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,
6, 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, 6, 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, 6, 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, 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 = z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [0, 0
], [-129511/524288, -129511/524288], [0, 0]]]], [[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 = x-u^2+v^2+1, z < -(-u^2
+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-3
, -3], [-326817/131072, -2614535/1048576], [-2, -2]]]], [[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 = x-u^2+v^2+1, z
= -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [-3, -3], [-326817/131072, -2614535/1048576], [-373161/524288, -\
1492643/2097152]]]], [[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 = x-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], [-3
, -3], [-326817/131072, -2614535/1048576], [-1/4194304, -1/4194304]]]], [[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 =
x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072
, -403851/131072], [-3, -3], [-326817/131072, -2614535/1048576], [746321/
1048576, 373161/524288]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-3, -3], [-326817/
131072, -2614535/1048576], [2, 2]]]], [[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 = 0, z = z], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [533035/
1048576, 133259/262144], [0, 0], [0, 0]]]], [[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(u^2-v^2+x+1 < y,
y < x), z = z], [regular_chain, [[3, 3], [0, 0], [-11, -11], [-15, -15], [0, 0
]]]], [[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 = x, z < 0], [regular_chain, [[3, 3], [403851/131072, 403851/131072]
, [-3, -3], [-3, -3], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-3, -3], [-3, -3], [0, 0]]]], [[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 = x, 0 < z],
[regular_chain, [[3, 3], [403851/131072, 403851/131072], [-3, -3], [-3, -3], [
1, 1]]]], [[11, 18, 3, 7, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-2 < x,x <
-1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 
3315889/1048576], [-3/2, -3/2], [2, 2], [-3, -3]]]], [[11, 18, 3, 7, 2], [2^(1
/2) < v, u = (v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y, z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3/2, -3/2], [2, 2],
[-7846825/4194304, -980853/524288]]]], [[11, 18, 3, 7, 3], [2^(1/2) < v, u = (
v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3/2, -3/2], [
2, 2], [0, 0]]]], [[11, 18, 3, 7, 4], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-2
< x,x < -1), x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [207243/65536
, 3315889/1048576], [-3/2, -3/2], [2, 2], [980853/524288, 1961707/1048576]]]],
[[11, 18, 3, 7, 5], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-2 < x,x < -1), x+2 <
y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576],
[-3/2, -3/2], [2, 2], [3, 3]]]], [[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 = z], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-1, -1], [-\
1566621/1048576, -391655/262144], [0, 0]]]], [[1, 7, 10, 3, 1], [v < -2^(1/2),
And(v < u,u < -(v^2-1)^(1/2)), x = 1, And(0 < y,y < 1), z = z], [regular_chain
, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1, 1], [1/2, 1/2], [0, 0]]
]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[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 = 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, 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 = 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, 6, 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, 6, 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, 7, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), x < u^2-v^2-1, And(x-u^2+v^2+1 < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3, -3], [-\
1565147/2097152, -1565147/2097152], [-3, -3]]]], [[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(x-u^2+v^2+1 < y,y < 0),
z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-3, -3], [-1565147/2097152, -1565147/2097152], [-787075/524288, -\
3148299/2097152]]]], [[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(x-u^2+v^2+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-
x)^(1/2))], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3
, -3], [-1565147/2097152, -1565147/2097152], [-1/4194304, -1/4194304]]]], [[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
(x-u^2+v^2+1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [6111549
/2097152, 6111549/2097152], [-3, -3], [-1565147/2097152, -1565147/2097152], [
1574149/1048576, 787075/524288]]]], [[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(x-u^2+v^2+1 < y,y < 0), (y-x)^(1/2)
< z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3, -3],
[-1565147/2097152, -1565147/2097152], [3, 3]]]], [[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 = x, z < 0], [regular_chain, [[-3, -3], [5, 5], [-18, -18], [-18, -\
18], [-1, -1]]]], [[1, 21, 1, 4, 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, 4, 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, 9, 1], [v = -2^(1/2), u < -2, And(-u^2+1 < x,x < -1),
u^2+x-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [-9/2, -9/2], [5, 5], [-5, -5]]]], [[2, 1, 3, 9, 2], [v = -
2^(1/2), u < -2, And(-u^2+1 < x,x < -1), u^2+x-1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-9/2, -9/2], [5
, 5], [-3231929/1048576, -403991/131072]]]], [[2, 1, 3, 9, 3], [v = -2^(1/2),
u < -2, And(-u^2+1 < x,x < -1), u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1
/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-9/2, -\
9/2], [5, 5], [0, 0]]]], [[2, 1, 3, 9, 4], [v = -2^(1/2), u < -2, And(-u^2+1 <
x,x < -1), u^2+x-1 < y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-3, -3], [-9/2, -9/2], [5, 5], [403991/131072, 3231929/
1048576]]]], [[2, 1, 3, 9, 5], [v = -2^(1/2), u < -2, And(-u^2+1 < x,x < -1),
u^2+x-1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [-9/2, -9/2], [5, 5], [5, 5]]]], [[2, 10, 9, 3, 1], [v = -2
^(1/2), u = 0, 1 < x, And(0 < y,y < x-1), z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [0, 0], [2, 2], [1/2, 1/2], [0, 0]]]], [[2, 12, 3, 3
, 1], [v = -2^(1/2), u = 1, And(-2 < x,x < -1), And(x < y,y < 0), z < -(y-x)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3/2, -3/
2], [-3/4, -3/4], [-2, -2]]]], [[2, 12, 3, 3, 2], [v = -2^(1/2), u = 1, And(-2
< x,x < -1), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v = -2^(1/2), u = 1, And(-2
< x,x < -1), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [v = -2^(1/2), u = 1
, And(-2 < x,x < -1), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = -2^(1/2), u = 1, And(-2 <
x,x < -1), And(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [-3/2, -3/2], [-3/4, -3/4], [2, 2]]]], [[2,
17, 1, 7, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, And(u^2+x-1 <
y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [-4, -4], [-3183369/4194304, -\
3183369/4194304], [-3, -3]]]], [[2, 17, 1, 7, 2], [v = -2^(1/2), And(3^(1/2) <
u,u < 2), x < -u^2+1, And(u^2+x-1 < y,y < 0), z = -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-4, -4], [-3183369/4194304, -3183369/4194304], [-7550943/4194304, -\
3775471/2097152]]]], [[2, 17, 1, 7, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2),
x < -u^2+1, And(u^2+x-1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-4, -4], [-3183369/4194304, -3183369/4194304], [-1/4194304, -1/
4194304]]]], [[2, 17, 1, 7, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x < -u^
2+1, And(u^2+x-1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-4, -4], [-\
3183369/4194304, -3183369/4194304], [1887735/1048576, 235967/131072]]]], [[2,
17, 1, 7, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, And(u^2+x-1 <
y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288
], [3913339/2097152, 3913339/2097152], [-4, -4], [-3183369/4194304, -3183369/
4194304], [3, 3]]]], [[2, 18, 4, 3, 1], [v = -2^(1/2), u = 2, x = -1, And(-2 <
y,y < -1), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2]
, [-1, -1], [-3/2, -3/2], [0, 0]]]], [[3, 4, 9, 2, 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, 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 = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-3, -3], [0, 0], [-3, -3]]]], [[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 = 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, 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 = 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, 8, 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, 8
, 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, 5, 5,
1], [And(-2^(1/2) < v,v < -1), u = -v, And(0 < x,x < 1), And(x < y,y < x+1), z
< -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [1/2, 1/2], [1, 1], [-2, -2]]]], [[3, 12, 5
, 5, 2], [And(-2^(1/2) < v,v < -1), u = -v, And(0 < x,x < 1), And(x < y,y < x+
1), z = -(y-x)^(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, 5, 3], [And(-2^(1/2) < v,v < -1), u = -v, And(
0 < x,x < 1), And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [1/2, 1/2], [1, 1], [0, 0]]]], [[3, 12, 5, 5, 4], [And(-2^(1
/2) < v,v < -1), u = -v, And(0 < x,x < 1), And(x < y,y < x+1), z = (y-x)^(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, 5, 5], [And(-2^(1/2) < v,v < -1), u = -v, And(0 < x,x < 1), And(x < y,y
< x+1), (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [1, 1], [2, 2]]]], [[3, 14,
9, 1, 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], [-1, -1], [0, 0]]]], [[3, 16, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6
, 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, 3, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 5, 1], [v = -1, u = -2^(1/2), And(0 <
x,x < 1), And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[4, 4,
7, 5, 2], [v = -1, u = -2^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z = -(y
-x)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [1/
2, 1/2], [3/2, 3/2], [-1, -1]]]], [[4, 4, 7, 5, 3], [v = -1, u = -2^(1/2), And
(0 < x,x < 1), And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [1/2, 1/2], [3/2
, 3/2], [0, 0]]]], [[4, 4, 7, 5, 4], [v = -1, u = -2^(1/2), And(0 < x,x < 1),
And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [-1482911/
1048576, -741455/524288], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[4, 4, 7, 5, 5],
[v = -1, u = -2^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), (y-x)^(1/2) < z],
[regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [1/2, 1/2], [3/
2, 3/2], [2, 2]]]], [[4, 11, 1, 9, 1], [v = -1, And(1 < u,u < 2^(1/2)), x < -u
^2, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 
1265743/1048576], [-3, -3], [1, 1], [-3, -3]]]], [[4, 11, 1, 9, 2], [v = -1, 
And(1 < u,u < 2^(1/2)), x < -u^2, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[
-1, -1], [1265743/1048576, 1265743/1048576], [-3, -3], [1, 1], [-2, -2]]]], [[
4, 11, 1, 9, 3], [v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, 0 < y, And(-(y-x)^
(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [1265743/1048576, 
1265743/1048576], [-3, -3], [1, 1], [0, 0]]]], [[4, 11, 1, 9, 4], [v = -1, And
(1 < u,u < 2^(1/2)), x < -u^2, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-1,
-1], [1265743/1048576, 1265743/1048576], [-3, -3], [1, 1], [2, 2]]]], [[4, 11,
1, 9, 5], [v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, 0 < y, (y-x)^(1/2) < z],
[regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3, -3], [1, 1
], [3, 3]]]], [[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(x-u^2+v^2+1 < y,y
< 0), z = z], [regular_chain, [[-1/2, -1/2], [-3, -3], [1/2, 1/2], [-29/8, -29
/8], [0, 0]]]], [[5, 2, 9, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 12
, 9, 5, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), 1 < x, And(x-1 < y,y < 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 < x-u^2+
1, z = z], [regular_chain, [[0, 0], [-3, -3], [-11/2, -11/2], [-15, -15], [0,
0]]]], [[6, 5, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = 0, And(0
< u,u < 1), x = -u^2-1, 0 < y, 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, 7, 2], [v = 0, And(0
< u,u < 1), x = -u^2-1, 0 < y, 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, 7, 3], [v = 0, 
And(0 < u,u < 1), x = -u^2-1, 0 < y, 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, 7, 4], [v = 0, And(0 < u,u < 1), x = -u^2-1, 0 < y, 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, 7, 5], [v = 0, And(0 < u,u < 1), x = -u^2-1, 0 < y, (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, 6, 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, 6, 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, 6, 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, 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 = x-u^2+v^2+1, z = z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-4, -4], [-\
4680347/1048576, -2340173/524288], [0, 0]]]], [[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(0 < y,y < u^2-v^2+x+1),
z < -(y-x)^(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(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(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(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(0 < y,y < u^2-v^2+x+1), z = (y-x)^(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(0 < y,y < u^2-v^2+x
+1), (y-x)^(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 = 0, z < -1], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-1, -1], [0, 0], [-2, -2]]]], [[7, 9, 4, 6, 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, 6, 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, 6, 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, 6, 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, 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 < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/
262144], [-1/2, -1/2], [3, 3], [-3, -3]]]], [[7, 11, 5, 9, 2], [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 = -(y-x)^(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, 9, 3], [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, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1/2, -1/2], [3,
3], [0, 0]]]], [[7, 11, 5, 9, 4], [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 = (y-x)^(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, 9, 5], [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,
(y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144],
[-1/2, -1/2], [3, 3], [3, 3]]]], [[7, 12, 8, 1, 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], [-1, -1], [0, 0]]]], [[8, 3, 9, 3, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/
2)), And(u^2-2 < x,x < 1), And(0 < y,y < x-u^2+2), z = z], [regular_chain, [[1
, 1], [-6598195/4194304, -6598195/4194304], [1546383/2097152, 1546383/2097152]
, [275385/2097152, 275385/2097152], [0, 0]]]], [[8, 5, 4, 2, 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
, 2, 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, 2, 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, 7, 8, 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], [621627/524288,
1243255/1048576], [-3, -3]]]], [[8, 11, 7, 8, 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], [621627
/524288, 1243255/1048576], [-1265743/1048576, -1265743/1048576]]]], [[8, 11, 7
, 8, 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], [621627/524288, 1243255/1048576], [0, 0]]]]
, [[8, 11, 7, 8, 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], [621627/524288, 1243255/1048576], [1265743/
1048576, 1265743/1048576]]]], [[8, 11, 7, 8, 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], [621627/524288,
1243255/1048576], [3, 3]]]], [[8, 13, 2, 7, 1], [v = 1, And(2^(1/2) < u,u < 3^
(1/2)), x = -u^2, 0 < y, 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, 7, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -u
^2, 0 < y, 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, 7, 3], [v = 1, And(2^(1/2) < u,u <
3^(1/2)), x = -u^2, 0 < y, 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, 7, 4], [v
= 1, And(2^(1/2) < u,u < 3^(1/2)), x = -u^2, 0 < y, 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, 7,
5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -u^2, 0 < y, (u^2+y)^(1/2) < z],
[regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1297479/524288,
-2594957/1048576], [1, 1], [3, 3]]]], [[9, 2, 1, 7, 1], [And(1 < v,v < 2^(1/2)
), u = -(v^2+2)^(1/2), x < -3, And(x+3 < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-4, -4], [-1/2, -1/2], [-3, -3]]]], [[9, 2, 1, 7, 2], [And(
1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x < -3, And(x+3 < y,y < 0), z = -(y-x)
^(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, 7, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x
< -3, And(x+3 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-4, -4], [-1/2, -1/2], [0, 0]]]], [[9, 2, 1, 7, 4], [And(1
< v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x < -3, And(x+3 < y,y < 0), z = (y-x)^(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, 7, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x < -3, And(x
+3 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-4, -4], [-1/2, -1/2], [3, 3]
]]], [[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 < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1/2, -1/2], [2074829/1048576, 1037415/524288], [-3, -3]]]
], [[9, 3, 5, 8, 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], [2074829/1048576, 1037415/524288], [-3301741/
2097152, -825435/524288]]]], [[9, 3, 5, 8, 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
], [2074829/1048576, 1037415/524288], [0, 0]]]], [[9, 3, 5, 8, 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], [
2074829/1048576, 1037415/524288], [825435/524288, 1650871/1048576]]]], [[9, 3,
5, 8, 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], [2074829/1048576, 1037415/524288], [3, 3]]]], [[9, 13, 8, 2, 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, 2, 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, 2, 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, 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(x-u^2+v^2+1 < y,y < x), z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-3647693/2097152, -3647693/2097152], [-8299315/4194304, -8299315/
4194304], [0, 0]]]], [[10, 2, 2, 1, 1], [v = 2^(1/2), u = -2, x = -3, y < -4,
z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-3, -3],
[-5, -5], [0, 0]]]], [[10, 3, 6, 2, 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], [-126367/262144, -505467/
1048576], [0, 0]]]], [[10, 9, 8, 3, 1], [v = 2^(1/2), And(-1 < u,u < 0), x = -
u^2+1, And(0 < y,y < -u^2+1), z = z], [regular_chain, [[741455/524288, 1482911
/1048576], [-1/2, -1/2], [3/4, 3/4], [3/8, 3/8], [0, 0]]]], [[10, 11, 1, 4, 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, 4, 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, 4, 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, 9, 1], [v = 2^(1/2), And(v < u,u <
3^(1/2)), And(u^2-3 < x,x < 0), u^2+x-1 < y, z < -(y-x)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-\
275385/1048576, -275385/1048576], [3, 3], [-3, -3]]]], [[10, 15, 7, 9, 2], [v
= 2^(1/2), And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), u^2+x-1 < y, z = -(y-
x)^(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, 9, 3], [v = 2^(1/2), And(v < u,u < 3^(1
/2)), And(u^2-3 < x,x < 0), u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-275385/1048576, -275385/1048576], [3, 3], [0, 0]]]], [[10,
15, 7, 9, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), u^2+
x-1 < y, z = (y-x)^(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, 9, 5], [v = 2^(1/2), And(v <
u,u < 3^(1/2)), And(u^2-3 < x,x < 0), u^2+x-1 < y, (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-275385/1048576, -275385/1048576], [3, 3], [3, 3]]]], [[10, 17, 3,
1, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), y < x-u^2
+3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [-3651195/2097152, -3651195/2097152], [-4, -4], [0,
0]]]], [[10, 19, 2, 6, 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, 6, 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, 6
, 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, 6, 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, 6, 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, 4, 7, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = -1, And
(0 < y,y < u^2-v^2), z < -(y+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-1
, -1], [8, 8], [-4, -4]]]], [[11, 1, 4, 7, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2
), x = -1, And(0 < y,y < u^2-v^2), z = -(y+1)^(1/2)], [regular_chain, [[3, 3],
[-5, -5], [-1, -1], [8, 8], [-3, -3]]]], [[11, 1, 4, 7, 3], [2^(1/2) < v, u <
-(v^2+2)^(1/2), x = -1, And(0 < y,y < u^2-v^2), And(-(y+1)^(1/2) < z,z < (y+1)
^(1/2))], [regular_chain, [[3, 3], [-5, -5], [-1, -1], [8, 8], [0, 0]]]], [[11
, 1, 4, 7, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = -1, And(0 < y,y < u^2-v^2
), z = (y+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-1, -1], [8, 8], [3,
3]]]], [[11, 1, 4, 7, 5], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = -1, And(0 < y,
y < u^2-v^2), (y+1)^(1/2) < z], [regular_chain, [[3, 3], [-5, -5], [-1, -1], [
8, 8], [4, 4]]]], [[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), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1062385/4194304, -\
1062385/4194304], [3, 3], [-3, -3]]]], [[11, 5, 7, 9, 2], [2^(1/2) < v, And(-(
v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), u^2-v^2+x+1 < y, z = -(y-x
)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1062385
/4194304, -1062385/4194304], [3, 3], [-7565219/4194304, -3782609/2097152]]]],
[[11, 5, 7, 9, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1
< x,x < 0), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1062385/4194304, -\
1062385/4194304], [3, 3], [-1/4194304, -1/4194304]]]], [[11, 5, 7, 9, 4], [2^(
1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), u^2-v^2+x+
1 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [-1062385/4194304, -1062385/4194304], [3, 3], [236413/131072, 1891305
/1048576]]]], [[11, 5, 7, 9, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
And(u^2-v^2-1 < x,x < 0), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [
[3, 3], [-403851/131072, -403851/131072], [-1062385/4194304, -1062385/4194304]
, [3, 3], [3, 3]]]], [[11, 7, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6
, 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, 12, 9, 9, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), 1 < x, x+3 <
y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096],
[2, 2], [6, 6], [-3, -3]]]], [[11, 12, 9, 9, 2], [2^(1/2) < v, u = (v^2-2)^(1/
2), 1 < x, x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [2, 2], [6, 6], [-2, -2]]]], [[11, 12, 9, 9, 3], [2^(1/2
) < v, u = (v^2-2)^(1/2), 1 < x, x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2)
)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [2, 2], [6, 6], [0
, 0]]]], [[11, 12, 9, 9, 4], [2^(1/2) < v, u = (v^2-2)^(1/2), 1 < x, x+3 < y,
z = (y-x)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [2,
2], [6, 6], [2, 2]]]], [[11, 12, 9, 9, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), 1
< x, x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [2774271/1048576, 
10837/4096], [2, 2], [6, 6], [3, 3]]]], [[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+2), z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [1/4,
1/4], [-3, -3]]]], [[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+2), z = -(y-x)^(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, 5, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), And(
-2 < x,x < -1), And(0 < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [1/4,
1/4], [0, 0]]]], [[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+2), z = (y-x)^(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, 5, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-2 <
x,x < -1), And(0 < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [
741455/262144, 2965821/1048576], [-3/2, -3/2], [1/4, 1/4], [3, 3]]]], [[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 = 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, 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 = 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, 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 = 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, 6, 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, 6, 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, 7, 1], [2^(1/2) < v
, u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 2), z < -(y+1)^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1, -1], [1, 1], [
-3, -3]]]], [[11, 20, 4, 7, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -1, And(0
< y,y < 2), z = -(y+1)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 
1738867/524288], [-1, -1], [1, 1], [-1482911/1048576, -741455/524288]]]], [[11
, 20, 4, 7, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 2), And
(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[3, 3], [3477733/1048576
, 1738867/524288], [-1, -1], [1, 1], [0, 0]]]], [[11, 20, 4, 7, 4], [2^(1/2) <
v, u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 2), z = (y+1)^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1, -1], [1, 1], [
741455/524288, 1482911/1048576]]]], [[11, 20, 4, 7, 5], [2^(1/2) < v, u = (v^2
+2)^(1/2), x = -1, And(0 < y,y < 2), (y+1)^(1/2) < z], [regular_chain, [[3, 3]
, [3477733/1048576, 1738867/524288], [-1, -1], [1, 1], [3, 3]]]], [[1, 1, 11,
2, 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, 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 < -1), z = z], [regular_chain, [[-3, -3], [-3396811/1048576, -\
3396811/1048576], [-1, -1], [-653799/524288, -653799/524288], [0, 0]]]], [[1,
7, 11, 1, 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], [
-1, -1], [0, 0]]]], [[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), x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2]
, [4, 4], [-4, -4]]]], [[1, 9, 5, 9, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u
,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2]
, [4, 4], [-1112183/524288, -2224365/1048576]]]], [[1, 9, 5, 9, 3], [v < -2^(1
/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), x-u^2+v^2+
1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [-1/2, -1/2], [4, 4], [0, 0]]]], [[1, 9,
5, 9, 4], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 <
x,x < 0), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [-1/2, -1/2], [4, 4], [2224365/1048576,
1112183/524288]]]], [[1, 9, 5, 9, 5], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), And(-1 < x,x < 0), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2]
, [4, 4], [4, 4]]]], [[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(u^2-v^2-1 < y,y < 2*u^2-2*v^2), z < -(y-u^2+v^2+1)^(
1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-\
3161161/2097152, -395145/262144], [-2644589/2097152, -2644589/2097152], [-2, -\
2]]]], [[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(u^2-v^2-1 < y,y < 2*u^2-2*v^2), z = -(y-u^2+v^2+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, 3, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), x = u^2-v^2-1, And(u^2-v^2-1 < y,y < 2*u^2-2*v^2), And(-(y-u^2+v^2+1)^(
1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-3161161/2097152, -395145/262144], [-2644589/
2097152, -2644589/2097152], [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(u^2-v^2-1 < y,y < 2*u^2-2*v^2), z
= (y-u^2+v^2+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, 3, 5], [v < -2^(1/2),
And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(u^2-v^2-1 < y,y < 2*u^2-2*v^
2), (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [-3161161/2097152, -395145/262144], [-2644589/2097152, -\
2644589/2097152], [2, 2]]]], [[1, 16, 5, 5, 1], [v < -2^(1/2), u = -v, And(0 <
x,x < 1), And(x < y,y < x+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [3
, 3], [1/2, 1/2], [1, 1], [-2, -2]]]], [[1, 16, 5, 5, 2], [v < -2^(1/2), u = -
v, And(0 < x,x < 1), And(x < y,y < x+1), z = -(y-x)^(1/2)], [regular_chain, [[
-3, -3], [3, 3], [1/2, 1/2], [1, 1], [-1482911/2097152, -741455/1048576]]]], [
[1, 16, 5, 5, 3], [v < -2^(1/2), u = -v, And(0 < x,x < 1), And(x < y,y < x+1),
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [3, 3], [1/
2, 1/2], [1, 1], [0, 0]]]], [[1, 16, 5, 5, 4], [v < -2^(1/2), u = -v, And(0 <
x,x < 1), And(x < y,y < x+1), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [3,
3], [1/2, 1/2], [1, 1], [741455/1048576, 46341/65536]]]], [[1, 16, 5, 5, 5], [
v < -2^(1/2), u = -v, And(0 < x,x < 1), And(x < y,y < x+1), (y-x)^(1/2) < z],
[regular_chain, [[-3, -3], [3, 3], [1/2, 1/2], [1, 1], [2, 2]]]], [[1, 21, 2,
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 =
z], [regular_chain, [[-3, -3], [5, 5], [-17, -17], [-32, -32], [0, 0]]]], [[2,
1, 4, 3, 1], [v = -2^(1/2), u < -2, x = -1, And(-u^2+2 < y,y < -1), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [-4, -\
4], [0, 0]]]], [[2, 10, 8, 7, 1], [v = -2^(1/2), u = 0, x = 1, 4 < y, z < -(y-\
1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [1, 1]
, [5, 5], [-3, -3]]]], [[2, 10, 8, 7, 2], [v = -2^(1/2), u = 0, x = 1, 4 < y,
z = -(y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0]
, [1, 1], [5, 5], [-2, -2]]]], [[2, 10, 8, 7, 3], [v = -2^(1/2), u = 0, x = 1,
4 < y, 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, 7, 4]
, [v = -2^(1/2), u = 0, x = 1, 4 < y, z = (y-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [1, 1], [5, 5], [2, 2]]]], [[2, 10,
8, 7, 5], [v = -2^(1/2), u = 0, x = 1, 4 < y, (y-1)^(1/2) < z], [regular_chain
, [[-1482911/1048576, -741455/524288], [0, 0], [1, 1], [5, 5], [3, 3]]]], [[2,
12, 2, 1, 1], [v = -2^(1/2), u = 1, x = -2, y < -2, z = z], [regular_chain, [[
-1482911/1048576, -741455/524288], [1, 1], [-2, -2], [-3, -3], [0, 0]]]], [[2,
17, 1, 6, 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], [-1591685/1048576, -3183369/
2097152], [-3, -3]]]], [[2, 17, 1, 6, 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], [-\
1591685/1048576, -3183369/2097152], [-825991/524288, -3303963/2097152]]]], [[2
, 17, 1, 6, 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], [-\
1591685/1048576, -3183369/2097152], [-1/4194304, -1/4194304]]]], [[2, 17, 1, 6
, 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], [-1591685/1048576, -3183369/2097152], [
1651981/1048576, 825991/524288]]]], [[2, 17, 1, 6, 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], [-1591685/1048576, -3183369/2097152], [3, 3]]]], [[2, 18, 3, 7, 1], [v = -
2^(1/2), u = 2, And(-3 < x,x < -1), And(0 < y,y < x+3), z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-2, -2], [1/2, 1/
2], [-3, -3]]]], [[2, 18, 3, 7, 2], [v = -2^(1/2), u = 2, And(-3 < x,x < -1),
And(0 < y,y < x+3), z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [2, 2], [-2, -2], [1/2, 1/2], [-3315889/2097152, -207243/
131072]]]], [[2, 18, 3, 7, 3], [v = -2^(1/2), u = 2, And(-3 < x,x < -1), And(0
< y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [-2, -2], [1/2, 1/2], [0, 0]]]], [[2
, 18, 3, 7, 4], [v = -2^(1/2), u = 2, And(-3 < x,x < -1), And(0 < y,y < x+3),
z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2],
[-2, -2], [1/2, 1/2], [207243/131072, 1657945/1048576]]]], [[2, 18, 3, 7, 5],
[v = -2^(1/2), u = 2, And(-3 < x,x < -1), And(0 < y,y < x+3), (y-x)^(1/2) < z]
, [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-2, -2], [1/2,
1/2], [3, 3]]]], [[3, 4, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 2, 2, 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, 2, 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, 2, 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,
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(x-u^2+v^2+1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [-\
1498947/2097152, -1498947/2097152], [-3, -3]]]], [[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(x-u^2+v^2+1
< y,y < 0), z = -(y-x)^(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, 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(x-u^2
+v^2+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(x-u^2+v^2+1 < y,y < 0), z = (y-x)^(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, 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(x-u^2+v^2+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3]
, [-1498947/2097152, -1498947/2097152], [3, 3]]]], [[3, 12, 4, 5, 1], [And(-2^
(1/2) < v,v < -1), u = -v, x = 0, 1 < y, z < -y^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0]
, [2, 2], [-3, -3]]]], [[3, 12, 4, 5, 2], [And(-2^(1/2) < v,v < -1), u = -v, x
= 0, 1 < y, 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, 5, 3], [And(-2^(1/2) < v,v < -1), u =
-v, x = 0, 1 < y, 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, 5, 4], [And(-2^(1/2) < v,v < -1), u = -v, x = 0, 1 <
y, 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, 5, 5], [And(-2^(1/2) < v,v < -1), u = -v, x = 0, 1 <
y, y^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [0, 0], [2, 2], [3, 3]]]], [[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 < x-u^2+v^2+1, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [-4, -4], [-6, -6], [0, 0]]]
], [[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-1, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [-2, -2], [-3, -3], [0, 0]]]], [[4,
3, 4, 2, 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],
[-1546383/1048576, -773191/524288], [0, 0]]]], [[4, 4, 7, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = -u^
2, 0 < y, 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, 7, 2], [v = -1, And(1 < u,u < 2^(1/2)), x = -u^2, 0 < y, 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, 7, 3], [v = -1, And(1 < u,u < 2^(1/2)), x = -u^2, 0 < y, 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, 7, 4], [v = -1, And(1 < u,u < 2^(1/2)), x
= -u^2, 0 < y, 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, 7, 5], [v = -1, And(1 < u,u < 2^(1/2))
, x = -u^2, 0 < y, (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, 7, 1], [v = -1, u = 2^(1/2), And(-1 < x,x < 0), x+2 < y, z < -
(y-x)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-1
/2, -1/2], [3, 3], [-3, -3]]]], [[4, 12, 5, 7, 2], [v = -1, u = 2^(1/2), And(-\
1 < x,x < 0), x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [741455/
524288, 1482911/1048576], [-1/2, -1/2], [3, 3], [-7846825/4194304, -980853/
524288]]]], [[4, 12, 5, 7, 3], [v = -1, u = 2^(1/2), And(-1 < x,x < 0), x+2 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [741455/
524288, 1482911/1048576], [-1/2, -1/2], [3, 3], [0, 0]]]], [[4, 12, 5, 7, 4],
[v = -1, u = 2^(1/2), And(-1 < x,x < 0), x+2 < y, z = (y-x)^(1/2)], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-1/2, -1/2], [3,
3], [980853/524288, 1961707/1048576]]]], [[4, 12, 5, 7, 5], [v = -1, u = 2^(1/
2), And(-1 < x,x < 0), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [
741455/524288, 1482911/1048576], [-1/2, -1/2], [3, 3], [3, 3]]]], [[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 < -(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, 8, 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, 8, 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, 8, 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, 8, 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, 9, 1], [And(-1 <
v,v < 0), u = -(v^2+2)^(1/2), 1 < x, x+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [2, 2], [6, 6], [-3, -3]]]], [[5,
2, 9, 9, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), 1 < x, x+3 < y, z = -(y-x
)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [2, 2], [6, 6], [-2, -2
]]]], [[5, 2, 9, 9, 3], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), 1 < x, x+3 < y
, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3/2
, -3/2], [2, 2], [6, 6], [0, 0]]]], [[5, 2, 9, 9, 4], [And(-1 < v,v < 0), u =
-(v^2+2)^(1/2), 1 < x, x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2
], [-3/2, -3/2], [2, 2], [6, 6], [2, 2]]]], [[5, 2, 9, 9, 5], [And(-1 < v,v <
0), u = -(v^2+2)^(1/2), 1 < x, x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-1
/2, -1/2], [-3/2, -3/2], [2, 2], [6, 6], [3, 3]]]], [[5, 12, 9, 4, 1], [And(-1
< v,v < 0), u = (v^2+2)^(1/2), 1 < x, y = x-1, z = z], [regular_chain, [[-1/2,
-1/2], [3/2, 3/2], [2, 2], [1, 1], [0, 0]]]], [[6, 1, 2, 3, 1], [v = 0, u < -2
^(1/2), x = -u^2-1, And(-2*u^2 < y,y < -u^2-1), z = z], [regular_chain, [[0, 0
], [-3, -3], [-10, -10], [-14, -14], [0, 0]]]], [[6, 5, 5, 3, 1], [v = 0, And(
-1 < u,u < 0), And(-1 < x,x < u^2-1), And(x < y,y < x-u^2+1), z < -(y-x)^(1/2)
], [regular_chain, [[0, 0], [-1/2, -1/2], [-7/8, -7/8], [-1/2, -1/2], [-2, -2]
]]], [[6, 5, 5, 3, 2], [v = 0, And(-1 < u,u < 0), And(-1 < x,x < u^2-1), And(x
< y,y < x-u^2+1), z = -(y-x)^(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, 3
, 3], [v = 0, And(-1 < u,u < 0), And(-1 < x,x < u^2-1), And(x < y,y < x-u^2+1)
, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2
], [-7/8, -7/8], [-1/2, -1/2], [0, 0]]]], [[6, 5, 5, 3, 4], [v = 0, And(-1 < u
,u < 0), And(-1 < x,x < u^2-1), And(x < y,y < x-u^2+1), z = (y-x)^(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, 3, 5], [v = 0, And(-1 < u,u < 0), And(-1
< x,x < u^2-1), And(x < y,y < x-u^2+1), (y-x)^(1/2) < z], [regular_chain, [[0,
0], [-1/2, -1/2], [-7/8, -7/8], [-1/2, -1/2], [2, 2]]]], [[6, 7, 1, 9, 1], [v
= 0, And(0 < u,u < 1), x < -u^2-1, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [
[0, 0], [1/2, 1/2], [-3, -3], [1, 1], [-3, -3]]]], [[6, 7, 1, 9, 2], [v = 0, 
And(0 < u,u < 1), x < -u^2-1, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[0, 0
], [1/2, 1/2], [-3, -3], [1, 1], [-2, -2]]]], [[6, 7, 1, 9, 3], [v = 0, And(0
< u,u < 1), x < -u^2-1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [1, 1], [0, 0]]]], [[6, 7, 1, 9,
4], [v = 0, And(0 < u,u < 1), x < -u^2-1, 0 < y, z = (y-x)^(1/2)], [
regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [1, 1], [2, 2]]]], [[6, 7, 1, 9,
5], [v = 0, And(0 < u,u < 1), x < -u^2-1, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [1, 1], [3, 3]]]], [[7, 1, 7, 5,
1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(0 < y,y < x),
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 = x, z <
0], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [2, 2], [2, 2], [-1, -1]]]], [[
7, 2, 9, 6, 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
, 6, 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, 7, 7
, 2, 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, 2, 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, 2, 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, 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 = 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], [106039/524288, 212079
/1048576], [-3, -3]]]], [[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 = 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], [106039/524288, 212079/1048576], [-19417/
16384, -1242687/1048576]]]], [[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 = u^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], [106039/
524288, 212079/1048576], [0, 0]]]], [[7, 9, 3, 8, 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], [106039/524288, 212079/1048576], [
1242687/1048576, 19417/16384]]]], [[7, 9, 3, 8, 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], [106039/524288, 212079/1048576], [3, 3]]
]], [[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 = z], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [0, 0], [-2, -2], [0, 0]]]], [[7, 12, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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,
6, 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], [773191/1048576, 96649/131072], [-1, -1]]]], [[8, 3
, 9, 6, 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], [773191/1048576, 96649/131072], [0, 0]]]],
[[8, 3, 9, 6, 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], [773191/1048576, 96649/131072], [1, 1]]]
], [[8, 5, 4, 9, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = -1, u^2-1 < y, z <
-(y+1)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576],
[-1, -1], [2, 2], [-3, -3]]]], [[8, 5, 4, 9, 2], [v = 1, And(-2^(1/2) < u,u <
-1), x = -1, u^2-1 < y, z = -(y+1)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-1, -1], [2, 2], [-1816187/1048576, -3632373/
2097152]]]], [[8, 5, 4, 9, 3], [v = 1, And(-2^(1/2) < u,u < -1), x = -1, u^2-1
< y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [2, 2], [-1/4194304, -1/4194304]
]]], [[8, 5, 4, 9, 4], [v = 1, And(-2^(1/2) < u,u < -1), x = -1, u^2-1 < y, z
= (y+1)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576],
[-1, -1], [2, 2], [908093/524288, 1816187/1048576]]]], [[8, 5, 4, 9, 5], [v =
1, And(-2^(1/2) < u,u < -1), x = -1, u^2-1 < y, (y+1)^(1/2) < z], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1, -1], [2, 2]
, [3, 3]]]], [[8, 11, 7, 9, 1], [v = 1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,
x < 0), u^2+x < y, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [3, 3], [-3, -3
]]]], [[8, 11, 7, 9, 2], [v = 1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0),
u^2+x < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-569265/2097152, -569265/2097152], [3, 3], [-7586297/
4194304, -948287/524288]]]], [[8, 11, 7, 9, 3], [v = 1, And(1 < u,u < 2^(1/2))
, And(u^2-2 < x,x < 0), u^2+x < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-569265/2097152,
-569265/2097152], [3, 3], [0, 0]]]], [[8, 11, 7, 9, 4], [v = 1, And(1 < u,u <
2^(1/2)), And(u^2-2 < x,x < 0), u^2+x < y, z = (y-x)^(1/2)], [regular_chain, [
[1, 1], [1265743/1048576, 1265743/1048576], [-569265/2097152, -569265/2097152]
, [3, 3], [948287/524288, 1896575/1048576]]]], [[8, 11, 7, 9, 5], [v = 1, And(
1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), u^2+x < y, (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-569265/2097152,
-569265/2097152], [3, 3], [3, 3]]]], [[8, 13, 3, 5, 1], [v = 1, And(2^(1/2) <
u,u < 3^(1/2)), And(-u^2 < x,x < -1), And(x < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-3643533/2097152,
-3643533/2097152], [-3643533/4194304, -3643533/4194304], [-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(x <
y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [-3643533/2097152, -3643533/2097152], [-3643533/4194304, -\
3643533/4194304], [-3909231/4194304, -7818461/8388608]]]], [[8, 13, 3, 5, 3],
[v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), And(x < y,y < 0),
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152], [-3643533/
4194304, -3643533/4194304], [-5/16777216, -5/16777216]]]], [[8, 13, 3, 5, 4],
[v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), And(x < y,y < 0),
z = (y-x)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152],
[-3643533/2097152, -3643533/2097152], [-3643533/4194304, -3643533/4194304], [
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(x < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-3643533/2097152,
-3643533/2097152], [-3643533/4194304, -3643533/4194304], [2, 2]]]], [[9, 2, 2,
1, 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], [-5, -5], [0, 0]]]], [[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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-14373233/8388608, -14373233/8388608], [0, 0], [2599117/1048576, 1299559/
524288], [-3, -3]]]], [[9, 3, 6, 6, 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], [2599117/1048576, 1299559/524288], [-3301741/
2097152, -825435/524288]]]], [[9, 3, 6, 6, 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], [2599117/1048576, 
1299559/524288], [0, 0]]]], [[9, 3, 6, 6, 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], [2599117/1048576, 1299559/524288], [825435/524288,
1650871/1048576]]]], [[9, 3, 6, 6, 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], [2599117/1048576, 1299559/524288], [3, 3]]]], [[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 = 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, 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 = 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, 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 = 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, 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 = 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, 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
= 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, 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 < -(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,
7, 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, 0 < y, 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,
7, 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, 0 < y, 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, 7, 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, 0 < y, 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, 7, 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, 0 < y, (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, 2, 1, 5, 1], [v = 2^(1/2), u = -2,
x < -3, And(x < y,y < x+3), z < -(y-x)^(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 < y,y < x+3), z = -(y-x)^(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 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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 < y,y
< x+3), z = (y-x)^(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 < y,y < x+3), (y-x)^(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+3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [0, 0], [-2, -2], [0, 0]]]], [[10, 9, 7, 5
, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+1), And(0 < y,y < x)
, 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 < u^2+x-1, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [1/2, 1/2], [-4, -4], [-6, -6], [0, 0]]]], [[10, 15, 7, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 7, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, 0 < y, 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, 7, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, 0
< y, 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, 7, 3], [v = 2^(1/2), 
And(3^(1/2) < u,u < 2), x = -u^2+1, 0 < y, 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, 7, 4], [v = 2^(1/2), And(3^(1/2) < u,u <
2), x = -u^2+1, 0 < y, 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, 7,
5], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, 0 < y, (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, 2, 1], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), y = x-u^2+3, z = z]
, [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9/2, -9/2], [-\
21/2, -21/2], [0, 0]]]], [[11, 1, 5, 5, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2),
And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(
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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)
^(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(x < y,y < 0), (y-x)^(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 < 0, z = z], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [0, 0], [-1, -1], [0, 0]]]], [[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 = x, z
< 0], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-391287/
524288, -391287/524288], [-391287/524288, -391287/524288], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-391287/524288, -391287/524288], [-391287/524288, -391287/524288],
[0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-391287/524288, -391287/524288], [-391287/524288,
-391287/524288], [1, 1]]]], [[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(u^2-v^2+x+1 < y,y < x), z = z], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-4, -4], [-2230411/
524288, -2230411/524288], [0, 0]]]], [[11, 14, 4, 5, 1], [2^(1/2) < v, u = (v^
2-1)^(1/2), x = -1, And(0 < y,y < 1), z < -(y+1)^(1/2)], [regular_chain, [[3,
3], [741455/262144, 2965821/1048576], [-1, -1], [1/2, 1/2], [-3, -3]]]], [[11,
14, 4, 5, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -1, And(0 < y,y < 1), z = -
(y+1)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1,
-1], [1/2, 1/2], [-1284239/1048576, -642119/524288]]]], [[11, 14, 4, 5, 3], [2
^(1/2) < v, u = (v^2-1)^(1/2), x = -1, And(0 < y,y < 1), And(-(y+1)^(1/2) < z,
z < (y+1)^(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 = (y+1)^(1/2)], [regular_chain, [[3, 3], [
741455/262144, 2965821/1048576], [-1, -1], [1/2, 1/2], [642119/524288, 1284239
/1048576]]]], [[11, 14, 4, 5, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -1, And
(0 < y,y < 1), (y+1)^(1/2) < z], [regular_chain, [[3, 3], [741455/262144, 
2965821/1048576], [-1, -1], [1/2, 1/2], [3, 3]]]], [[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, 0 < y, 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
, 7, 2], [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 = -(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, 7, 3], [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, 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, 7, 4], [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 = (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, 7, 5], [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, (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, 5, 3, 1], [2^(1
/2) < v, u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(x-1 < y,y < x), z = z], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1/2, -1/2], [-1,
-1], [0, 0]]]], [[1, 5, 6, 7, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v)
, x = u^2-v^2-1, 2*u^2-2*v^2 < y, z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [
[-3, -3], [-403851/131072, -403851/131072], [-531193/1048576, -1062385/2097152
], [2, 2], [-3, -3]]]], [[1, 5, 6, 7, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) <
u,u < v), x = u^2-v^2-1, 2*u^2-2*v^2 < y, z = -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-531193/1048576,
-1062385/2097152], [2, 2], [-3320253/2097152, -830063/524288]]]], [[1, 5, 6, 7
, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, 2*u^2-2*v^2
< y, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [
[-3, -3], [-403851/131072, -403851/131072], [-531193/1048576, -1062385/2097152
], [2, 2], [0, 0]]]], [[1, 5, 6, 7, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,
u < v), x = u^2-v^2-1, 2*u^2-2*v^2 < y, z = (y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-531193/1048576,
-1062385/2097152], [2, 2], [830063/524288, 1660127/1048576]]]], [[1, 5, 6, 7,
5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, 2*u^2-2*v^2 <
y, (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-531193/1048576, -1062385/2097152], [2, 2], [3, 3]]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152,
-6111549/2097152], [-657289/524288, -657289/524288], [0, 0], [-3, -3]]]], [[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 = 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, 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 = 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, 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 = 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, 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 = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-657289/524288, -657289/524288], [0, 0], [3, 3]]]], [[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 < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [0,
0], [10, 10], [-5, -5]]]], [[1, 11, 6, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 1, 4 < y, z <
-(y-1)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [1, 1
], [5, 5], [-3, -3]]]], [[1, 12, 8, 7, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), x
= 1, 4 < y, z = -(y-1)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 
10837/4096], [1, 1], [5, 5], [-2, -2]]]], [[1, 12, 8, 7, 3], [v < -2^(1/2), u
= (v^2-2)^(1/2), x = 1, 4 < y, 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, 7, 4], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 1, 4 < y, z = (
y-1)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [1, 1],
[5, 5], [2, 2]]]], [[1, 12, 8, 7, 5], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 1,
4 < y, (y-1)^(1/2) < z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/
4096], [1, 1], [5, 5], [3, 3]]]], [[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 = u^2-v^2+x+1, z < -(u^2-v^2
+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-4
, -4], [-394777/262144, -3158215/2097152], [-3, -3]]]], [[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 = u^2-
v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576,
3396811/1048576], [-4, -4], [-394777/262144, -3158215/2097152], [-1655969/
1048576, -3311937/2097152]]]], [[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 = u^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], [-394777/262144, -3158215/2097152], [-1/
4194304, -1/4194304]]]], [[1, 19, 1, 6, 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], [-\
394777/262144, -3158215/2097152], [51749/32768, 1655969/1048576]]]], [[1, 19,
1, 6, 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], [-394777/262144, -3158215/2097152
], [3, 3]]]], [[1, 20, 3, 7, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-3 < x,
x < -1), And(0 < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[1, 20,
3, 7, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y <
x+3), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [-2, -2], [1/2, 1/2], [-3315889/2097152, -207243/131072]]]], [[1, 20,
3, 7, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y <
x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [-2, -2], [1/2, 1/2], [0, 0]]]], [[1, 20, 3,
7, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3
), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [-2, -2], [1/2, 1/2], [207243/131072, 1657945/1048576]]]], [[1, 20, 3
, 7, 5], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x
+3), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [-2, -2], [1/2, 1/2], [3, 3]]]], [[2, 3, 4, 9, 1], [v = -2^(1/2), And
(-2 < u,u < -3^(1/2)), x = -1, u^2-2 < y, z < -(y+1)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-1,
-1], [3, 3], [-3, -3]]]], [[2, 3, 4, 9, 2], [v = -2^(1/2), And(-2 < u,u < -3^(
1/2)), x = -1, u^2-2 < y, z = -(y+1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-1, -1], [3,
3], [-2, -2]]]], [[2, 3, 4, 9, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x
= -1, u^2-2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-1, -\
1], [3, 3], [0, 0]]]], [[2, 3, 4, 9, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2
)), x = -1, u^2-2 < y, z = (y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3913339/2097152, -3913339/2097152], [-1, -1], [3, 3], [2, 2]
]]], [[2, 3, 4, 9, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, u^2-2
< y, (y+1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [-1, -1], [3, 3], [3, 3]]]], [[2, 4, 8, 6,
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, 6, 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, 6, 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,
6, 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, 6, 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, 2, 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, 2, 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, 2, 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, 7,
6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 2, 3, 1], [v = -2^(1/2), And(1 <
u,u < -v), x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), z < -(y-u^2+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, 3, 2], [v = -2^(1/2), And(1 < u,u < -v), x =
u^2-3, And(u^2-3 < y,y < 2*u^2-4), z = -(y-u^2+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, 3, 3], [v = -2^(1/2), And(1 < u,u < -v
), x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+
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, 3, 4], [v = -2^(1/2), And(1 <
u,u < -v), x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), z = (y-u^2+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, 3, 5], [v = -2^(1/2), 
And(1 < u,u < -v), x = u^2-3, And(u^2-3 < y,y < 2*u^2-4), (y-u^2+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, 14, 5, 5, 1], [v = -2^(1/2), u = -v, And(0 < x
,x < 1), And(x < y,y < x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [741455/524288, 1482911/1048576], [1/2, 1/2], [1, 1]
, [-2, -2]]]], [[2, 14, 5, 5, 2], [v = -2^(1/2), u = -v, And(0 < x,x < 1), And
(x < y,y < x+1), z = -(y-x)^(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, 5, 3], [v = -2^(1/2), u = -v
, And(0 < x,x < 1), And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911
/1048576], [1/2, 1/2], [1, 1], [0, 0]]]], [[2, 14, 5, 5, 4], [v = -2^(1/2), u
= -v, And(0 < x,x < 1), And(x < y,y < x+1), z = (y-x)^(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, 5, 5], [v = -2^(1/2
), u = -v, And(0 < x,x < 1), And(x < y,y < x+1), (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [1/2, 1/2], [1, 1], [2, 2]]]], [[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 < -1), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [-\
8957873/2097152, -8957873/2097152], [0, 0]]]], [[3, 2, 6, 2, 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, 4, 2, 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, 2, 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, 2, 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, 8, 7, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 8, 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, 8, 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,
8, 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, 8, 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, 8,
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, 5, 7,
1], [v = -1, u = -3^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), z < -(y-x)^(
1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-1/2,
-1/2], [5/4, 5/4], [-3, -3]]]], [[4, 2, 5, 7, 2], [v = -1, u = -3^(1/2), And(-\
1 < x,x < 0), And(0 < y,y < x+3), z = -(y-x)^(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, 7, 3], [v = -1, u = -3^(1/2), And(-1 < x,x
< 0), And(0 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2],
[5/4, 5/4], [0, 0]]]], [[4, 2, 5, 7, 4], [v = -1, u = -3^(1/2), And(-1 < x,x <
0), And(0 < y,y < x+3), z = (y-x)^(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, 7, 5], [v = -1, u = -3^(1/2), And(-1 < x,x < 0), And(0 <
y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [-1/2, -1/2], [5/4, 5/4], [3, 3]]]], [[4, 7, 3, 5, 1], [v =
-1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), And(u^2+x < y,y < 0), z < -(y-x)
^(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(u^2+x < y,y < 0), z = -(y-x)^(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(u^2+x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(u^2+x < y,y < 0), z = (y-x)^(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(u^2+x < y,y < 0), (y-x)^(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, 2 < y, z < -y^(1/2)], [regular_chain, [[-1, -1], [0, 0], [0, 0], [
3, 3], [-3, -3]]]], [[4, 8, 6, 5, 2], [v = -1, u = 0, x = 0, 2 < y, z = -y^(1/
2)], [regular_chain, [[-1, -1], [0, 0], [0, 0], [3, 3], [-1816187/1048576, -\
3632373/2097152]]]], [[4, 8, 6, 5, 3], [v = -1, u = 0, x = 0, 2 < y, 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, 5, 4], [v = -1, u = 0, x = 0, 2 < y, z = y
^(1/2)], [regular_chain, [[-1, -1], [0, 0], [0, 0], [3, 3], [908093/524288, 
1816187/1048576]]]], [[4, 8, 6, 5, 5], [v = -1, u = 0, x = 0, 2 < y, y^(1/2) <
z], [regular_chain, [[-1, -1], [0, 0], [0, 0], [3, 3], [3, 3]]]], [[4, 14, 7,
5, 1], [v = -1, u = 3^(1/2), And(0 < x,x < 1), And(0 < y,y < x), 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 = x, z
< 0], [regular_chain, [[-1, -1], [3, 3], [8, 8], [8, 8], [-1, -1]]]], [[4, 15,
11, 6, 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, 6, 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 1, 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], [-1, -1
], [0, 0]]]], [[5, 9, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 1], [And(-1 < v,v < 0),
u = (v^2+1)^(1/2), x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[-1/2, -1
/2], [1172343/1048576, 146543/131072], [1, 1], [1/2, 1/2], [0, 0]]]], [[6, 1,
9, 5, 1], [v = 0, u < -2^(1/2), And(1 < x,x < u^2-1), And(0 < y,y < x), 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 = 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = 0, And(1 < u,u < 2^(1/2)), x = -1, And(0 < y,y <
u^2), z < -(y+1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [-1, -1], [763943/1048576, 763943/1048576], [-3, -3]]]], [[6, 9, 4,
7, 2], [v = 0, And(1 < u,u < 2^(1/2)), x = -1, And(0 < y,y < u^2), z = -(y+1)^
(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1, -1],
[763943/1048576, 763943/1048576], [-689305/524288, -1378609/1048576]]]], [[6,
9, 4, 7, 3], [v = 0, And(1 < u,u < 2^(1/2)), x = -1, And(0 < y,y < u^2), And(-
(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[0, 0], [1265743/1048576,
1265743/1048576], [-1, -1], [763943/1048576, 763943/1048576], [0, 0]]]], [[6,
9, 4, 7, 4], [v = 0, And(1 < u,u < 2^(1/2)), x = -1, And(0 < y,y < u^2), z = (
y+1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1,
-1], [763943/1048576, 763943/1048576], [1378609/1048576, 689305/524288]]]], [[
6, 9, 4, 7, 5], [v = 0, And(1 < u,u < 2^(1/2)), x = -1, And(0 < y,y < u^2), (y
+1)^(1/2) < z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [
-1, -1], [763943/1048576, 763943/1048576], [3, 3]]]], [[6, 10, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6,
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, 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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/
2], [-343151/262144, -343151/262144], [243021/1048576, 243021/1048576], [
2826215/1048576, 353277/131072], [-3, -3]]]], [[7, 3, 7, 8, 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], [2826215/1048576, 
353277/131072], [-3291611/2097152, -1645805/1048576]]]], [[7, 3, 7, 8, 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], [2826215/1048576, 353277/131072], [0, 0]]]], [[7, 3, 7, 8,
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], [
2826215/1048576, 353277/131072], [1645805/1048576, 822903/524288]]]], [[7, 3,
7, 8, 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]
, [2826215/1048576, 353277/131072], [3, 3]]]], [[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, 0 < y, 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, 7, 2], [And
(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, 0 < y, 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, 7, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) <
u,u < -v), x = -u^2+v^2-1, 0 < y, 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, 7, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1
, 0 < y, 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, 7, 5], [And(0 < v,v < 1), And(-
(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, 0 < y, (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, 8, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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], [-2594959/1048576, -1297479/
524288], [-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], [-2594959/1048576, -\
1297479/524288], [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], [-2594959/1048576, -\
1297479/524288], [1, 1]]]], [[8, 7, 8, 7, 1], [v = 1, And(-1 < u,u < 0), x = 0
, -u^2+2 < y, z < -y^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [0, 0], [3
, 3], [-3, -3]]]], [[8, 7, 8, 7, 2], [v = 1, And(-1 < u,u < 0), x = 0, -u^2+2
< y, z = -y^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [0, 0], [3, 3], [-\
1816187/1048576, -3632373/2097152]]]], [[8, 7, 8, 7, 3], [v = 1, And(-1 < u,u
< 0), x = 0, -u^2+2 < y, 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, 7, 4
], [v = 1, And(-1 < u,u < 0), x = 0, -u^2+2 < y, z = y^(1/2)], [regular_chain,
[[1, 1], [-1/2, -1/2], [0, 0], [3, 3], [908093/524288, 1816187/1048576]]]], [[
8, 7, 8, 7, 5], [v = 1, And(-1 < u,u < 0), x = 0, -u^2+2 < y, y^(1/2) < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [0, 0], [3, 3], [3, 3]]]], [[8, 9, 4, 3,
1], [v = 1, And(0 < u,u < 1), x = -1, And(-1 < y,y < u^2-1), z < -(y+1)^(1/2)]
, [regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [-7/8, -7/8], [-2, -2]]]], [[
8, 9, 4, 3, 2], [v = 1, And(0 < u,u < 1), x = -1, And(-1 < y,y < u^2-1), z = -
(y+1)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [-7/8, -7/8], [-\
46341/131072, -370727/1048576]]]], [[8, 9, 4, 3, 3], [v = 1, And(0 < u,u < 1),
x = -1, And(-1 < 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], [-7/8, -7/8], [0, 0]]]], [[8, 9,
4, 3, 4], [v = 1, And(0 < u,u < 1), x = -1, And(-1 < y,y < u^2-1), z = (y+1)^(
1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [-7/8, -7/8], [370727/
1048576, 46341/131072]]]], [[8, 9, 4, 3, 5], [v = 1, And(0 < u,u < 1), x = -1,
And(-1 < y,y < u^2-1), (y+1)^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2],
[-1, -1], [-7/8, -7/8], [2, 2]]]], [[8, 15, 3, 7, 1], [v = 1, 3^(1/2) < u, And
(-u^2 < x,x < -1), And(0 < y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[
1, 1], [3, 3], [-5, -5], [2, 2], [-4, -4]]]], [[8, 15, 3, 7, 2], [v = 1, 3^(1/
2) < u, And(-u^2 < x,x < -1), And(0 < y,y < u^2+x), z = -(y-x)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [-5, -5], [2, 2], [-5548543/2097152, -2774271/
1048576]]]], [[8, 15, 3, 7, 3], [v = 1, 3^(1/2) < u, And(-u^2 < x,x < -1), And
(0 < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1
, 1], [3, 3], [-5, -5], [2, 2], [0, 0]]]], [[8, 15, 3, 7, 4], [v = 1, 3^(1/2)
< u, And(-u^2 < x,x < -1), And(0 < y,y < u^2+x), z = (y-x)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [-5, -5], [2, 2], [2774271/1048576, 10837/4096
]]]], [[8, 15, 3, 7, 5], [v = 1, 3^(1/2) < u, And(-u^2 < x,x < -1), And(0 < y,
y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [3, 3], [-5, -5], [2, 2
], [4, 4]]]], [[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 = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [0, 0], [-8, -8], [0, 0]]]], [[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 < 0, z = z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1/2, 1/2], [-1, -1], [0, 0]]]], [[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-
u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-1498947/2097152, -1498947/
2097152], [2, 2], [-3, -3]]]], [[9, 7, 5, 9, 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), x-u^2+v^2+1 < y, z = -
(y-x)^(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, 9, 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), x-u^2+v^2+1 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/2097152, -\
1498947/2097152], [2, 2], [0, 0]]]], [[9, 7, 5, 9, 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), x-u^2+v^2+1 < y,
z = (y-x)^(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, 9, 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), x-u^2+v^2+1
< y, (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-1498947/2097152, -1498947/2097152], [2,
2], [3, 3]]]], [[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 < 0, z = z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [0, 0], [239655/524288, 479311/1048576], [-1, -1],
[0, 0]]]], [[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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 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), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [775271/
1048576, 775271/1048576], [5, 5], [-4, -4]]]], [[9, 15, 9, 9, 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)
, u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [775271/1048576, 775271/1048576], [5, 5], [0, 0]]]], [[9, 15, 9, 9, 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), u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [775271/1048576, 
775271/1048576], [5, 5], [4, 4]]]], [[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(x < y,y < 0), z < -(y-x)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-\
10006449/2097152, -10006449/2097152], [-10006449/4194304, -10006449/4194304],
[-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(x < y,y < 0), z = -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10006449/2097152
, -10006449/2097152], [-10006449/4194304, -10006449/4194304], [-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(x < y,y < 0), And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [3,
3], [-10006449/2097152, -10006449/2097152], [-10006449/4194304, -10006449/
4194304], [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(x < y,y < 0), z = (y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10006449/2097152
, -10006449/2097152], [-10006449/4194304, -10006449/4194304], [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(x < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10006449/2097152
, -10006449/2097152], [-10006449/4194304, -10006449/4194304], [3, 3]]]], [[10,
5, 8, 2, 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, 2, 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, 2, 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, 3, 1], [v = 2^(1/2),
And(-v < u,u < -1), And(-1 < x,x < -u^2+1), And(x < y,y < u^2+x-1), z < -(y-x)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576,
-1265743/1048576], [-1527887/2097152, -1527887/2097152], [-2097153/4194304, -\
2097153/4194304], [-2, -2]]]], [[10, 7, 5, 3, 2], [v = 2^(1/2), And(-v < u,u <
-1), And(-1 < x,x < -u^2+1), And(x < y,y < u^2+x-1), z = -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-1527887/2097152, -1527887/2097152], [-2097153/4194304, -2097153/
4194304], [-31331/65536, -501295/1048576]]]], [[10, 7, 5, 3, 3], [v = 2^(1/2),
And(-v < u,u < -1), And(-1 < x,x < -u^2+1), And(x < y,y < u^2+x-1), And(-(y-x)
^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576
], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152],
[-2097153/4194304, -2097153/4194304], [0, 0]]]], [[10, 7, 5, 3, 4], [v = 2^(1/
2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1), And(x < y,y < u^2+x-1), z = (y
-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [-2097153/
4194304, -2097153/4194304], [501295/1048576, 31331/65536]]]], [[10, 7, 5, 3, 5
], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1), And(x < y,y < u^2
+x-1), (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [-\
2097153/4194304, -2097153/4194304], [2, 2]]]], [[10, 11, 8, 1, 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], [-1, -1], [0, 0]]]], [[10, 
13, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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(0 < y,y
< u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576,
-3396811/1048576], [-1/2, -1/2], [522727/524288, 522727/524288], [-3, -3]]]],
[[11, 3, 5, 7, 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 < u^2-v^2+x+1), z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/2], [
522727/524288, 522727/524288], [-1282963/1048576, -641481/524288]]]], [[11, 3,
5, 7, 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 < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/2], [
522727/524288, 522727/524288], [0, 0]]]], [[11, 3, 5, 7, 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 < u^2-
v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [-1/2, -1/2], [522727/524288, 522727/524288], [641481/524288
, 1282963/1048576]]]], [[11, 3, 5, 7, 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 < u^2-v^2+x+1), (y-x)^(1/
2) < z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1/2,
-1/2], [522727/524288, 522727/524288], [3, 3]]]], [[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(x < y,y < x-u^2+v^2+1
), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072
], [-3, -3], [-720033/262144, -720033/262144], [-2, -2]]]], [[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(x < y,y < x-
u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [-3, -3], [-720033/262144, -720033/262144], [-527729/1048576,
-1055457/2097152]]]], [[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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-3,
-3], [-720033/262144, -720033/262144], [-1/4194304, -1/4194304]]]], [[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(x <
y,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-403851/131072
, -403851/131072], [-3, -3], [-720033/262144, -720033/262144], [32983/65536, 
527729/1048576]]]], [[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(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-3, -3], [-720033/
262144, -720033/262144], [2, 2]]]], [[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 = 0, z = z], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [533035/
2097152, 533035/2097152], [0, 0], [0, 0]]]], [[11, 10, 9, 9, 1], [2^(1/2) < v,
u = -(v^2-2)^(1/2), 1 < x, x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3]
, [-5548543/2097152, -2774271/1048576], [2, 2], [6, 6], [-3, -3]]]], [[11, 10,
9, 9, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), 1 < x, x+3 < y, z = -(y-x)^(1/2)],
[regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [2, 2], [6, 6],
[-2, -2]]]], [[11, 10, 9, 9, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), 1 < x, x+3
< y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [2, 2], [6, 6], [0, 0]]]], [[11, 10, 9, 9,
4], [2^(1/2) < v, u = -(v^2-2)^(1/2), 1 < x, x+3 < y, z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [2, 2], [6, 6],
[2, 2]]]], [[11, 10, 9, 9, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), 1 < x, x+3 <
y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [2, 2], [6, 6], [3, 3]]]], [[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+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, 6
, 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, 6, 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, 6, 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, 6, 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]]]], [[1, 1, 11, 3, 1], [v < -2^(1/2
), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, And(0 < y,y < x-u^2+v^2+1), z = z], [
regular_chain, [[-3, -3], [-5, -5], [16, 16], [1/2, 1/2], [0, 0]]]], [[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
= -1, z < 0], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576],
[-1, -1], [-1, -1], [-1, -1]]]], [[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 = -1, z = 0], [regular_chain, [[-3,
-3], [-3396811/1048576, -3396811/1048576], [-1, -1], [-1, -1], [0, 0]]]], [[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 = -1, 0 < z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [-1, -1], [-1, -1], [1, 1]]]], [[1, 7, 10, 9, 1], [v < -2^(1/2), And
(v < u,u < -(v^2-1)^(1/2)), x = 1, -u^2+v^2+2 < y, z < -(y-1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1, 1], [4, 4]
, [-3, -3]]]], [[1, 7, 10, 9, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2))
, x = 1, -u^2+v^2+2 < y, z = -(y-1)^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [1, 1], [4, 4], [-1816187/1048576, -\
3632373/2097152]]]], [[1, 7, 10, 9, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^
(1/2)), x = 1, -u^2+v^2+2 < y, 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, 9, 4], [v < -2^(1/2), And(v < u,u <
-(v^2-1)^(1/2)), x = 1, -u^2+v^2+2 < y, z = (y-1)^(1/2)], [regular_chain, [[-3
, -3], [-6111549/2097152, -6111549/2097152], [1, 1], [4, 4], [908093/524288, 
1816187/1048576]]]], [[1, 7, 10, 9, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^
(1/2)), x = 1, -u^2+v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [1, 1], [4, 4], [3, 3]]]], [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [-1/2, -1/2], [2105899/1048576, 526475/
262144], [-3, -3]]]], [[1, 9, 5, 8, 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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/
2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1/2,
-1/2], [2105899/1048576, 526475/262144], [-3321417/2097152, -415177/262144]]]]
, [[1, 9, 5, 8, 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-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],
[-1/2, -1/2], [2105899/1048576, 526475/262144], [0, 0]]]], [[1, 9, 5, 8, 4], [
v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), y
= x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [-1/2, -1/2], [2105899/1048576, 526475/262144], [
415177/262144, 1660709/1048576]]]], [[1, 9, 5, 8, 5], [v < -2^(1/2), And(-(v^2
-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), y = x-u^2+v^2+1, (-u^2+v
^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [-1/2, -1/2], [2105899/1048576, 526475/262144], [3, 3]]]], [[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], [-1064009/1048576, -\
133001/131072], [-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], [-1064009/1048576, -133001/131072], [-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], [-1064009/1048576, -133001/131072], [-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], [-1064009/1048576, -133001/131072], [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], [-1064009/1048576, -133001/131072], [2, 2]]]], [[1, 16, 5, 6, 1], [v
< -2^(1/2), u = -v, And(0 < x,x < 1), y = x+1, z < -1], [regular_chain, [[-3,
-3], [3, 3], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[1, 16, 5, 6, 2], [v < -2^(
1/2), u = -v, And(0 < x,x < 1), y = x+1, z = -1], [regular_chain, [[-3, -3], [
3, 3], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]], [[1, 16, 5, 6, 3], [v < -2^(1/2),
u = -v, And(0 < x,x < 1), y = x+1, And(-1 < z,z < 1)], [regular_chain, [[-3, -\
3], [3, 3], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[1, 16, 5, 6, 4], [v < -2^(1/2
), u = -v, And(0 < x,x < 1), y = x+1, z = 1], [regular_chain, [[-3, -3], [3, 3
], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[1, 16, 5, 6, 5], [v < -2^(1/2), u = -v
, And(0 < x,x < 1), y = x+1, 1 < z], [regular_chain, [[-3, -3], [3, 3], [1/2,
1/2], [3/2, 3/2], [2, 2]]]], [[1, 21, 2, 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 = z], [regular_chain, [[-3, -3], [5, 5]
, [-17, -17], [-33, -33], [0, 0]]]], [[2, 1, 4, 2, 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, 9, 1, 1], [v = -2^(1/2),
u = 0, 1 < x, y < 0, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [0, 0], [2, 2], [-1, -1], [0, 0]]]], [[2, 12, 2, 2, 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, 2, 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, 2, 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, 5, 1], [v =
-2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, And(x < y,y < u^2+x-1), z < -(y-
x)^(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(x < y,y < u^2+x-1), z = -(y-x)^(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(x < y,y < u
^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2+x-1), z = (y-x)^(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(x < y,y < u^2+x-1), (y-x)^(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 = 0, z < -(-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [-2, -2], [0, 0], [-3, -3]]]], [[2,
18, 3, 6, 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, 6, 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, 6, 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, 6, 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,
4, 8, 7, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = 1, 3 < y, z <
-(y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915
/262144, -3287319/2097152], [1, 1], [4, 4], [-3, -3]]]], [[3, 4, 8, 7, 2], [
And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = 1, 3 < y, 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, 7, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = 1, 3 < y, 
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, 7, 4], [And(-2^(1/2) < v,v < -1), u = -(v^
2+1)^(1/2), x = 1, 3 < y, 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, 7, 5], [And(-2^(1/2) < v,v < -1
), u = -(v^2+1)^(1/2), x = 1, 3 < y, (y-1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [1, 1]
, [4, 4], [3, 3]]]], [[3, 6, 2, 3, 1], [And(-2^(1/2) < v,v < -1), u = v, x = -\
1, And(-1 < y,y < 0), z < -(y+1)^(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
(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (
y+1)^(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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [-\
374737/262144, -1498947/1048576], [-3, -3]]]], [[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 = x-u^2+v^2+1,
z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [987341/1048576, 987341/1048576], [-3, -3], [-374737/262144, -1498947/
1048576], [-1314069/1048576, -328517/262144]]]], [[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 = x-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], [-3, -3]
, [-374737/262144, -1498947/1048576], [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 = x-u^2+v^2+1
, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-3, -3], [-374737/262144, -\
1498947/1048576], [328517/262144, 1314069/1048576]]]], [[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 = x-u^2
+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-3, -3], [-374737/262144, -\
1498947/1048576], [3, 3]]]], [[3, 12, 4, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 14, 9, 7, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1
)^(1/2), 1 < x, x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [1643659/1048576, 410915/262144], [2, 2], [5, 5], [-3, -3
]]]], [[3, 14, 9, 7, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), 1 < x,
x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1643659/1048576, 410915/262144], [2, 2], [5, 5], [-1816187/1048576,
-3632373/2097152]]]], [[3, 14, 9, 7, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1
)^(1/2), 1 < x, x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[3, 14, 9, 7, 4], [And
(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), 1 < x, x+2 < y, z = (y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [2, 2], [5, 5], [908093/524288, 1816187/1048576]]]], [[3, 14, 9, 7,
5], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), 1 < x, x+2 < y, (y-x)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576,
410915/262144], [2, 2], [5, 5], [3, 3]]]], [[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-1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-2, -2], [-4, -4], [0, 0]]]], [[4, 3, 4, 3, 1], [v = -1, And(-3^(1/
2) < u,u < -2^(1/2)), x = -1, And(-u^2+1 < y,y < -1), z = z], [regular_chain,
[[-1, -1], [-6598195/4194304, -6598195/4194304], [-1, -1], [-1297479/1048576,
-1297479/1048576], [0, 0]]]], [[4, 4, 7, 7, 1], [v = -1, u = -2^(1/2), And(0 <
x,x < 1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1482911/
1048576, -741455/524288], [1/2, 1/2], [4, 4], [-3, -3]]]], [[4, 4, 7, 7, 2], [
v = -1, u = -2^(1/2), And(0 < x,x < 1), x+2 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [1/2, 1/2], [4,
4], [-7846825/4194304, -980853/524288]]]], [[4, 4, 7, 7, 3], [v = -1, u = -2^(
1/2), And(0 < x,x < 1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [1/2, 1/2], [4,
4], [0, 0]]]], [[4, 4, 7, 7, 4], [v = -1, u = -2^(1/2), And(0 < x,x < 1), x+2
< y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/
524288], [1/2, 1/2], [4, 4], [980853/524288, 1961707/1048576]]]], [[4, 4, 7, 7
, 5], [v = -1, u = -2^(1/2), And(0 < x,x < 1), x+2 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [1/2, 1/2], [4,
4], [3, 3]]]], [[4, 11, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6
, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 < -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3, -3], [1/2, 1/2], [12, 12], [-5, -5]]]], [[5
, 1, 7, 9, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(0 < x,x < 1), u^2-v
^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [1/2,
1/2], [12, 12], [-3555895/1048576, -1777947/524288]]]], [[5, 1, 7, 9, 3], [And
(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(0 < x,x < 1), u^2-v^2+x+1 < y, And(-(y
-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3, -3], [1/2
, 1/2], [12, 12], [0, 0]]]], [[5, 1, 7, 9, 4], [And(-1 < v,v < 0), u < -(v^2+2
)^(1/2), And(0 < x,x < 1), u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain,
[[-1/2, -1/2], [-3, -3], [1/2, 1/2], [12, 12], [1777947/524288, 3555895/
1048576]]]], [[5, 1, 7, 9, 5], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(0 <
x,x < 1), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-\
3, -3], [1/2, 1/2], [12, 12], [5, 5]]]], [[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 < x-u^2+v^2+1, z
= z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-4, -4
], [-6, -6], [0, 0]]]], [[5, 12, 9, 3, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/
2), 1 < x, And(0 < y,y < x-1), z = z], [regular_chain, [[-1/2, -1/2], [3/2, 3/
2], [2, 2], [1/2, 1/2], [0, 0]]]], [[6, 1, 2, 2, 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, 4, 1], [v = 0, And(-1 < u,u < 0), And(-1 < x,x
< u^2-1), y = x-u^2+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, 4, 2], [v = 0, And(-\
1 < u,u < 0), And(-1 < x,x < u^2-1), y = x-u^2+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, 4, 3], [v = 0, And(-1 < u,u < 0), 
And(-1 < x,x < u^2-1), y = x-u^2+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, 4, 4], [v = 0, And(-1 < u,u < 0), And(-1 <
x,x < u^2-1), y = x-u^2+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, 4, 5], [v = 0, And(-1 < u,u < 0), And(-1 < x,x < u^2-1), y = x-u^2+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, 1, 1], [v = 0, And(0 < u,u < 1), x = -u^2-1, y <
-u^2-1, z = z], [regular_chain, [[0, 0], [1/2, 1/2], [-5/4, -5/4], [-3, -3], [
0, 0]]]], [[7, 1, 7, 4, 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, 2, 9, 5, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), 1 < x, 
And(x-1 < y,y < 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(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain
, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [-3/16, -3/16], [-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(x <
y,y < 0), z = -(y-x)^(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, 3, 3], [And
(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2-1 < x,x < 0), And(x < y,y < 0),
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [
-3/8, -3/8], [-3/16, -3/16], [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(x < y,y < 0), z = (y-x)^(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, 3, 5], [And(0 < v,v < 1), And(-v < u,u
< v), And(-u^2+v^2-1 < x,x < 0), And(x < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [-3/16, -3/16], [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), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2
], [1696631/2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [
2, 2], [-3, -3]]]], [[7, 9, 3, 9, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)
^(1/2)), And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1
< x,x < -1), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-2521309/
2097152, -2521309/2097152], [2, 2], [0, 0]]]], [[7, 9, 3, 9, 4], [And(0 < v,v
< 1), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 <
y, z = (y-x)^(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, 9, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1
)^(1/2)), And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-2521309/
2097152, -2521309/2097152], [2, 2], [3, 3]]]], [[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 = z],
[regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [0, 0], [-486043/
1048576, -243021/524288], [0, 0]]]], [[7, 12, 8, 7, 1], [And(0 < v,v < 1), u =
(v^2+2)^(1/2), x = 1, 4 < y, z < -(y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [
3/2, 3/2], [1, 1], [5, 5], [-3, -3]]]], [[7, 12, 8, 7, 2], [And(0 < v,v < 1),
u = (v^2+2)^(1/2), x = 1, 4 < y, z = -(y-1)^(1/2)], [regular_chain, [[1/2, 1/2
], [3/2, 3/2], [1, 1], [5, 5], [-2, -2]]]], [[7, 12, 8, 7, 3], [And(0 < v,v <
1), u = (v^2+2)^(1/2), x = 1, 4 < y, 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,
7, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = 1, 4 < y, z = (y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [1, 1], [5, 5], [2, 2]]]], [[7, 12, 8,
7, 5], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = 1, 4 < y, (y-1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [1, 1], [5, 5], [3, 3]]]], [[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-u^2
+2 < y,y < x), z = z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [1546383/2097152, 1546383/2097152], [1048577/2097152, 1048577/
2097152], [0, 0]]]], [[8, 5, 4, 8, 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], [239655/524288, 479311/1048576], [-3, -3]]]], [[8, 5, 4, 8
, 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], [
239655/524288, 479311/1048576], [-1265743/1048576, -1265743/1048576]]]], [[8,
5, 4, 8, 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
], [239655/524288, 479311/1048576], [0, 0]]]], [[8, 5, 4, 8, 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], [239655/524288, 479311/1048576],
[1265743/1048576, 1265743/1048576]]]], [[8, 5, 4, 8, 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], [239655/524288, 479311/1048576], [3, 3]]
]], [[8, 11, 8, 1, 1], [v = 1, And(1 < u,u < 2^(1/2)), x = 0, y < 0, z = z], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [0, 0], [-1, -1],
[0, 0]]]], [[8, 13, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 1, 9, 1], [And(1 < v,v < 2^(1/
2)), u = -(v^2+2)^(1/2), x < -3, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-4,
-4], [1, 1], [-4, -4]]]], [[9, 2, 1, 9, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2
+2)^(1/2), x < -3, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-4, -4], [1, 1], [-\
146543/65536, -2344687/1048576]]]], [[9, 2, 1, 9, 3], [And(1 < v,v < 2^(1/2)),
u = -(v^2+2)^(1/2), x < -3, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-4, -4], [1, 1], [0, 0]]]], [[9, 2, 1, 9, 4], [And(1 < v,v
< 2^(1/2)), u = -(v^2+2)^(1/2), x < -3, 0 < y, z = (y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-4, -4], [1, 1], [2344687/1048576, 146543/65536]]]], [[9, 2
, 1, 9, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x < -3, 0 < y, (y-x)^
(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-4, -4], [1, 1], [4, 4]]]], [[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 < -y^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [0, 0], [2599117/
2097152, 2599117/2097152], [-3, -3]]]], [[9, 3, 6, 5, 2], [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 = -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, 5, 3], [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), 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, 5, 4], [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 = 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, 5, 5], [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), 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, 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(0 < y,y < x-u^2+v^2+1), z < -(y-
x)^(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(0 < y,y < x-u^2+v^2+1)
, z = -(y-x)^(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(0 < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(0 < y,y < x-u^2+v^2+1),
z = (y-x)^(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(0 < y,y < x-u^2+v^2+1), (y-x)^(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 < x-u^2+v^2+1, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [-3647693/2097152,
-3647693/2097152], [-4, -4], [0, 0]]]], [[10, 2, 1, 4, 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, 4, 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, 4, 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, 9, 1], [v = 2^(1/2), And(
-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), u^2+x-1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-1/2, -1/2], [3, 3], [-3, -3]]]], [[10, 3, 5, 9, 2], [v = 2^(1/2),
And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), u^2+x-1 < y, z = -(y-x)^(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, 9, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), u^2+x-1
< y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288,
1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2], [3, 3],
[0, 0]]]], [[10, 3, 5, 9, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 <
x,x < 0), u^2+x-1 < y, z = (y-x)^(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, 9, 5], [v = 2^(1/2), And(-2 <
u,u < -3^(1/2)), And(-1 < x,x < 0), u^2+x-1 < y, (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-1/2, -1/2], [3, 3], [3, 3]]]], [[10, 9, 7, 6, 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, 6, 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, 6, 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, 1, 2, 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, 7, 3, 1], [v = 2^(1/2), And(v < u,u < 3^(1
/2)), And(u^2-3 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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, 3, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)
), And(u^2-3 < x,x < 0), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v = 2^(1/2), And(v < u,u < 3
^(1/2)), And(u^2-3 < x,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x
)^(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, 3, 4], [v = 2^(1/2), And(v < u,u < 3^
(1/2)), And(u^2-3 < x,x < 0), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = 2^(1/2),
And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), And(x < y,y < 0), (y-x)^(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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 1, 1], [v = 2^(1/2), 2 < u, And(-u^2
+1 < x,x < -1), y < x-u^2+3, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [-9/2, -9/2], [-12, -12], [0, 0]]]], [[11, 1, 5, 4, 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, 4, 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, 4, 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, 8, 2, 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, 2, 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, 2, 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, 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(x < y,
y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-391287/524288, -391287/524288], [-1048577/
2097152, -1048577/2097152], [-2, -2]]]], [[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(x < y,y < u^2-v^2+
x+1), z = -(y-x)^(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, 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(x < y,y < u^2-
v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288], [-\
1048577/2097152, -1048577/2097152], [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(x < y,y < u^
2-v^2+x+1), z = (y-x)^(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, 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(x < y,y
< u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152,
-6111549/2097152], [-391287/524288, -391287/524288], [-1048577/2097152, -\
1048577/2097152], [2, 2]]]], [[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 = u^2-v^2+x+1, z = z], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-4, -4], [-9454681/
2097152, -1181835/262144], [0, 0]]]], [[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 < x-u^2+v^2+1, z = z], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-915943/524288, -\
915943/524288], [-4, -4], [0, 0]]]], [[11, 20, 5, 4, 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, 4, 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, 4, 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, 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 < x, z =
z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1062385/
4194304, -1062385/4194304], [-2, -2], [0, 0]]]], [[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(0 < y,y < x-
u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-657289/524288, -657289/524288], [133001/1048576, 133001/
1048576], [-3, -3]]]], [[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(0 < y,y < x-u^2+v^2+1), z = -(y-x)^(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, 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(0 < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-657289/524288, -657289/524288], [133001/1048576, 133001/1048576],
[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(0 < y,y < x-u^2+v^2+1), z = (y-x)^(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, 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(0 < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z],
[regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-657289/
524288, -657289/524288], [133001/1048576, 133001/1048576], [3, 3]]]], [[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 < -y^(1/2)], [regular_chain, [[-3, -3], [0, 0], [0,
0], [5, 5], [-4, -4]]]], [[1, 11, 6, 5, 2], [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 = -y^(1/2)], [
regular_chain, [[-3, -3], [0, 0], [0, 0], [5, 5], [-146543/65536, -2344687/
1048576]]]], [[1, 11, 6, 5, 3], [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), And(-y^(1/2) < z,z < y^(1/2))],
[regular_chain, [[-3, -3], [0, 0], [0, 0], [5, 5], [0, 0]]]], [[1, 11, 6, 5, 4
], [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 = y^(1/2)], [regular_chain, [[-3, -3], [0, 0], [0, 0], [5,
5], [2344687/1048576, 146543/65536]]]], [[1, 11, 6, 5, 5], [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), y^(1/
2) < z], [regular_chain, [[-3, -3], [0, 0], [0, 0], [5, 5], [4, 4]]]], [[1, 12
, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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
, 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(u^2-v^2+x+1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3
], [3396811/1048576, 3396811/1048576], [-4, -4], [-3158215/4194304, -3158215/
4194304], [-3, -3]]]], [[1, 19, 1, 7, 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 < 0), z = -(y-x)^(1
/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-4, -4],
[-3158215/4194304, -3158215/4194304], [-3778963/2097152, -7557925/4194304]]]],
[[1, 19, 1, 7, 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 < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2)
)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-4, -4], [
-3158215/4194304, -3158215/4194304], [-1/8388608, -1/8388608]]]], [[1, 19, 1,
7, 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 < 0), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [-4, -4], [-3158215/4194304, -3158215/
4194304], [1889481/1048576, 944741/524288]]]], [[1, 19, 1, 7, 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 < 0), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [-4, -4], [-3158215/4194304, -3158215/4194304], [3, 3]]]], [
[1, 20, 3, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 3, 4, 8, 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], [
1554043/1048576, 388511/262144], [-3, -3]]]], [[2, 3, 4, 8, 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], [1554043/1048576, 388511/262144], [-825991/524288,
-3303963/2097152]]]], [[2, 3, 4, 8, 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], [1554043/1048576, 388511/262144], [-1/4194304, -1/
4194304]]]], [[2, 3, 4, 8, 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], [1554043/1048576, 
388511/262144], [1651981/1048576, 825991/524288]]]], [[2, 3, 4, 8, 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], [1554043/1048576, 388511/262144], [3, 3]]]], [[2,
4, 8, 5, 1], [v = -2^(1/2), u = -3^(1/2), x = 1, And(1 < y,y < 3), z < -(y-1)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576
, -3632373/2097152], [1, 1], [2, 2], [-2, -2]]]], [[2, 4, 8, 5, 2], [v = -2^(1
/2), u = -3^(1/2), x = 1, And(1 < y,y < 3), z = -(y-1)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [1,
1], [2, 2], [-1, -1]]]], [[2, 4, 8, 5, 3], [v = -2^(1/2), u = -3^(1/2), x = 1,
And(1 < y,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]
, [2, 2], [0, 0]]]], [[2, 4, 8, 5, 4], [v = -2^(1/2), u = -3^(1/2), x = 1, And
(1 < y,y < 3), z = (y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1816187/1048576, -3632373/2097152], [1, 1], [2, 2], [1, 1]]]], [[2,
4, 8, 5, 5], [v = -2^(1/2), u = -3^(1/2), x = 1, And(1 < y,y < 3), (y-1)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576,
-3632373/2097152], [1, 1], [2, 2], [2, 2]]]], [[2, 7, 4, 3, 1], [v = -2^(1/2),
And(v < u,u < -1), x = -1, And(-1 < y,y < u^2-2), z < -(y+1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [-3235683/4194304, -3235683/4194304], [-2, -2]]]],
[[2, 7, 4, 3, 2], [v = -2^(1/2), And(v < u,u < -1), x = -1, And(-1 < y,y < u^2
-2), z = -(y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
-1265743/1048576, -1265743/1048576], [-1, -1], [-3235683/4194304, -3235683/
4194304], [-31331/65536, -501295/1048576]]]], [[2, 7, 4, 3, 3], [v = -2^(1/2),
And(v < u,u < -1), x = -1, And(-1 < y,y < u^2-2), And(-(y+1)^(1/2) < z,z < (y+
1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-1, -1], [-3235683/4194304, -3235683/4194304], [0
, 0]]]], [[2, 7, 4, 3, 4], [v = -2^(1/2), And(v < u,u < -1), x = -1, And(-1 <
y,y < u^2-2), z = (y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [-1, -1], [-3235683/4194304, -\
3235683/4194304], [501295/1048576, 31331/65536]]]], [[2, 7, 4, 3, 5], [v = -2^
(1/2), And(v < u,u < -1), x = -1, And(-1 < y,y < u^2-2), (y+1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [-3235683/4194304, -3235683/4194304], [2, 2]]]], [
[2, 8, 7, 7, 1], [v = -2^(1/2), u = -1, And(0 < x,x < 1), x+2 < y, z < -(y-x)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [1/2, 1
/2], [4, 4], [-3, -3]]]], [[2, 8, 7, 7, 2], [v = -2^(1/2), u = -1, And(0 < x,x
< 1), x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1, -1], [1/2, 1/2], [4, 4], [-7846825/4194304, -980853/524288]]]],
[[2, 8, 7, 7, 3], [v = -2^(1/2), u = -1, And(0 < x,x < 1), x+2 < y, And(-(y-x)
^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1, -1], [1/2, 1/2], [4, 4], [0, 0]]]], [[2, 8, 7, 7, 4], [v = -2^(1
/2), u = -1, And(0 < x,x < 1), x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [1/2, 1/2], [4, 4], [980853/524288
, 1961707/1048576]]]], [[2, 8, 7, 7, 5], [v = -2^(1/2), u = -1, And(0 < x,x <
1), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1, -1], [1/2, 1/2], [4, 4], [3, 3]]]], [[2, 13, 2, 2, 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], [-3235683/2097152, -1617841/1048576], [-1,
-1]]]], [[2, 13, 2, 2, 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], [-3235683/
2097152, -1617841/1048576], [0, 0]]]], [[2, 13, 2, 2, 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], [-3235683/2097152, -1617841/1048576], [1, 1]]]], [[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 = -1, z < 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [-1, -1], [-1, -1]]]],
[[3, 1, 4, 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, 4, 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, 2, 6, 3, 1], [
And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 0, And(-1 < y,y < 0), z = z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [0, 0], [-1/2, -1/2], [0, 0]]]], [[3, 7, 4, 1, 1], [And(-2^(
1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -1, y < -1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1, -1], [-2, -2], [0, 0]]]], [[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 < x+2), z <
-(y-x)^(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, 5, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(0 < x,x < 1), And
(x < y,y < x+2), z = -(y-x)^(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, 5, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2),
And(0 < x,x < 1), And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 5, 4], [And(-2^(
1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z
= (y-x)^(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
, 5, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(
x < y,y < x+2), (y-x)^(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, 7, 1], [v = -1, u < -3^(1/2), And(-u^2 < x,x < -1), And(0 < y,y
< u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-5, -5], [2
, 2], [-4, -4]]]], [[4, 1, 3, 7, 2], [v = -1, u < -3^(1/2), And(-u^2 < x,x < -\
1), And(0 < y,y < u^2+x), z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-3, -\
3], [-5, -5], [2, 2], [-5548543/2097152, -2774271/1048576]]]], [[4, 1, 3, 7, 3
], [v = -1, u < -3^(1/2), And(-u^2 < x,x < -1), And(0 < y,y < u^2+x), And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-3, -3], [-5, -5],
[2, 2], [0, 0]]]], [[4, 1, 3, 7, 4], [v = -1, u < -3^(1/2), And(-u^2 < x,x < -\
1), And(0 < y,y < u^2+x), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [-3, -3
], [-5, -5], [2, 2], [2774271/1048576, 10837/4096]]]], [[4, 1, 3, 7, 5], [v =
-1, u < -3^(1/2), And(-u^2 < x,x < -1), And(0 < y,y < u^2+x), (y-x)^(1/2) < z]
, [regular_chain, [[-1, -1], [-3, -3], [-5, -5], [2, 2], [4, 4]]]], [[4, 2, 5,
6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 1, 1], [v = -1, u
= 0, And(0 < x,x < 1), y < 0, z = z], [regular_chain, [[-1, -1], [0, 0], [1/2,
1/2], [-1, -1], [0, 0]]]], [[4, 14, 7, 4, 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]]]], [[4, 15, 11, 5, 1], [v = -1, 3^(1/2)
< u, u^2-2 < x, And(x-u^2+2 < y,y < x), 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(0 < y,y < u^2-v^2+x+
1), z < -(y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), z
= -(y-x)^(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, 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(0 < y,
y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(
0 < y,y < u^2-v^2+x+1), z = (y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), (y-x)^(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, 7, 2, 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, 5, 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 < -(y+1)^(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(-u^2+v^2 < y,y < 0), z
= -(y+1)^(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(-u^2+v^2 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-u^2+
v^2 < y,y < 0), z = (y+1)^(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(-u^2+v^2 < y,y < 0), (y+1)^(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 = 0, z = z], [regular_chain, [[-1/2, -1/2],
[1172343/1048576, 146543/131072], [1, 1], [0, 0], [0, 0]]]], [[6, 1, 9, 6, 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, 6, 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, 6, 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, 2, 7, 1], [v = 0, And(-2^(1/2) < u,u
< -1), x = -u^2-1, 0 < y, 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, 7, 2], [v = 0, And(-2^(1/2) < u,u < -1), x = -u^2-1
, 0 < y, 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, 7, 3], [v = 0, And(-2^(1/2) < u,u <
-1), x = -u^2-1, 0 < y, 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, 7,
4], [v = 0, And(-2^(1/2) < u,u < -1), x = -u^2-1, 0 < y, 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, 7, 5], [v = 0, And(-2^(1/2) < u,u < -1), x = -u^2-1, 0 < y, (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, 4, 6, 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, 6, 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,
6, 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, 6, 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, 6, 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, 5, 1], [v = 0, u = 2^(1/2), x = 0, And(0 <
y,y < 3), z < -y^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [0, 0], [3/2, 3/2], [-3, -3]]]], [[6, 10, 6, 5, 2], [v = 0, u = 2^(1
/2), x = 0, And(0 < y,y < 3), 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, 5, 3], [v = 0, u = 2^(1/2), x = 0, And(0 < y,y < 3), 
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, 5, 4], [v = 0, u
= 2^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 5], [v = 0, u = 2^(1/2), x = 0, And(0 < y,y < 3),
y^(1/2) < z], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [0, 0
], [3/2, 3/2], [3, 3]]]], [[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 < -(
y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [
243021/1048576, 243021/1048576], [4, 4], [-3, -3]]]], [[7, 3, 7, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-v^2+x+1 < y,
And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, z = (
y-x)^(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, 9, 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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain
, [[1/2, 1/2], [-343151/262144, -343151/262144], [243021/1048576, 243021/
1048576], [4, 4], [3, 3]]]], [[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 < x, z = z], [regular_chain,
[[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309
/2097152], [-3, -3], [0, 0]]]], [[8, 1, 8, 9, 1], [v = 1, u < -3^(1/2), x = 1,
u^2+1 < y, z < -(y-1)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [1, 1], [11,
11], [-5, -5]]]], [[8, 1, 8, 9, 2], [v = 1, u < -3^(1/2), x = 1, u^2+1 < y, z
= -(y-1)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [1, 1], [11, 11], [-\
3315889/1048576, -207243/65536]]]], [[8, 1, 8, 9, 3], [v = 1, u < -3^(1/2), x
= 1, u^2+1 < y, 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, 9, 4], [v = 1, u < -3^(1/
2), x = 1, u^2+1 < y, z = (y-1)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [1,
1], [11, 11], [207243/65536, 3315889/1048576]]]], [[8, 1, 8, 9, 5], [v = 1, u
< -3^(1/2), x = 1, u^2+1 < y, (y-1)^(1/2) < z], [regular_chain, [[1, 1], [-3,
-3], [1, 1], [11, 11], [5, 5]]]], [[8, 3, 2, 5, 1], [v = 1, And(-3^(1/2) < u,u
< -2^(1/2)), x = -u^2, And(-u^2 < y,y < 0), 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, 5, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, And(-u^2 <
y,y < 0), 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, 5, 3], [v
= 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, And(-u^2 < y,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], [-1297479/1048576, -\
1297479/1048576], [0, 0]]]], [[8, 3, 2, 5, 4], [v = 1, And(-3^(1/2) < u,u < -2
^(1/2)), x = -u^2, And(-u^2 < y,y < 0), 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, 5, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, And(
-u^2 < y,y < 0), (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, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 4, 2, 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, 2, 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, 2, 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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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 = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3],
[0, 0], [-13721443/2097152, -6860721/1048576], [0, 0]]]], [[9, 5, 8, 7, 1], [
And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, u^2-v^2+1 < y,
z < -y^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [0, 0], [3, 3], [-3, -3]]]], [[9, 5, 8, 7, 2], [
And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, u^2-v^2+1 < y,
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, 7, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u
,u < -v), x = 0, u^2-v^2+1 < y, 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, 7, 4], [And(1 < v,v < 2
^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, u^2-v^2+1 < y, 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, 7, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, u^2-
v^2+1 < y, y^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-5818805/4194304, -5818805/4194304], [0, 0], [3, 3], [3, 3]]]], [[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-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
1498947/2097152, -1498947/2097152], [897307/1048576, 224327/262144], [-3, -3]]
]], [[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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [897307/1048576, 
224327/262144], [-1314069/1048576, -328517/262144]]]], [[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-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], [-1498947/2097152, -1498947/2097152], [897307/1048576, 
224327/262144], [0, 0]]]], [[9, 7, 5, 8, 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 = x-u^2+v^2+1, z = (-u^2+
v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-1498947/2097152, -1498947/2097152], [897307/
1048576, 224327/262144], [328517/262144, 1314069/1048576]]]], [[9, 7, 5, 8, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/
2097152, -1498947/2097152], [897307/1048576, 224327/262144], [3, 3]]]], [[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 = 0, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [239655/524288, 479311/1048576], [0, 0], [0, 0]]]], [[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(0 < y,y < x-u^2+v^2+1), z < -(y-x)^(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, 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(0 < y,y < x-u^2+v^2+1), z = -(y-x)^(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, 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(0
< y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(0 < y,y < x-u^2+v^2+1), z = (y-x)^(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, 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(0 < y
,y < x-u^2+v^2+1), (y-x)^(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, 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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [775271/
1048576, 775271/1048576], [843597/262144, 3374389/1048576], [-3, -3]]]], [[9,
15, 9, 8, 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], [843597/262144, 3374389/1048576], [
-3301741/2097152, -825435/524288]]]], [[9, 15, 9, 8, 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], [843597/262144, 3374389/1048576], [0, 0]]]], [[9, 15
, 9, 8, 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], [843597/262144, 3374389/1048576], [
825435/524288, 1650871/1048576]]]], [[9, 15, 9, 8, 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], [
843597/262144, 3374389/1048576], [3, 3]]]], [[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 = x, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10006449/2097152
, -10006449/2097152], [-10006449/2097152, -10006449/2097152], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576],
[3, 3], [-10006449/2097152, -10006449/2097152], [-10006449/2097152, -10006449/
2097152], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [-\
10006449/2097152, -10006449/2097152], [1, 1]]]], [[10, 5, 8, 3, 1], [v = 2^(1/
2), And(-3^(1/2) < u,u < -v), x = 0, And(0 < y,y < -u^2+3), z < -y^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [0, 0], [550769/2097152, 550769/2097152], [-2, -2]]]], [[10, 5, 8, 3
, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 0, And(0 < y,y < -u^2+3), z
= -y^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [0, 0], [550769/2097152, 550769/2097152], [-\
1074731/2097152, -537365/1048576]]]], [[10, 5, 8, 3, 3], [v = 2^(1/2), And(-3^
(1/2) < u,u < -v), x = 0, And(0 < 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], [550769/2097152, 550769/2097152], [0, 0]]]], [[10, 5
, 8, 3, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 0, And(0 < y,y < -u^2+
3), z = y^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195
/4194304, -6598195/4194304], [0, 0], [550769/2097152, 550769/2097152], [537365
/1048576, 268683/524288]]]], [[10, 5, 8, 3, 5], [v = 2^(1/2), And(-3^(1/2) < u
,u < -v), x = 0, And(0 < y,y < -u^2+3), y^(1/2) < z], [regular_chain, [[741455
/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [0, 0], [
550769/2097152, 550769/2097152], [2, 2]]]], [[10, 7, 5, 4, 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], [-284633/1048576, -35579/
131072], [-2, -2]]]], [[10, 7, 5, 4, 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], [-284633/1048576, -35579/131072], [-\
1417877/2097152, -354469/524288]]]], [[10, 7, 5, 4, 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], [-284633/
1048576, -35579/131072], [0, 0]]]], [[10, 7, 5, 4, 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], [-284633/1048576, -35579/
131072], [354469/524288, 708939/1048576]]]], [[10, 7, 5, 4, 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], [-284633/1048576, -35579/
131072], [2, 2]]]], [[10, 11, 7, 9, 1], [v = 2^(1/2), And(0 < u,u < 1), And(0
< x,x < -u^2+1), x-u^2+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1/2, 1/2], [3/8, 3/8], [5, 5], [-4, -4]]]], [[10, 
11, 7, 9, 2], [v = 2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), x-u^2+3 <
y, z = -(y-x)^(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,
9, 3], [v = 2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), x-u^2+3 < y, And
(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [3/8, 3/8], [5, 5], [0, 0]]]], [[10, 11, 7, 9, 4], [v =
2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), x-u^2+3 < y, z = (y-x)^(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, 9, 5], [v = 2^(1/2),
And(0 < u,u < 1), And(0 < x,x < -u^2+1), x-u^2+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [3/8, 3/8], [5,
5], [4, 4]]]], [[10, 13, 3, 5, 1], [v = 2^(1/2), And(1 < u,u < v), And(u^2-3 <
x,x < -1), And(u^2+x-1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-2666417/
2097152, -2666417/2097152], [-3415591/8388608, -3415591/8388608], [-2, -2]]]],
[[10, 13, 3, 5, 2], [v = 2^(1/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), And
(u^2+x-1 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-2666417/2097152, -\
2666417/2097152], [-3415591/8388608, -3415591/8388608], [-3899297/4194304, -\
7798593/8388608]]]], [[10, 13, 3, 5, 3], [v = 2^(1/2), And(1 < u,u < v), And(u
^2-3 < x,x < -1), And(u^2+x-1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2)
)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [-2666417/2097152, -2666417/2097152], [-3415591/8388608, -\
3415591/8388608], [-1/16777216, -1/16777216]]]], [[10, 13, 3, 5, 4], [v = 2^(1
/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), And(u^2+x-1 < y,y < 0), z = (y-x
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576,
1265743/1048576], [-2666417/2097152, -2666417/2097152], [-3415591/8388608, -\
3415591/8388608], [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(u^2+x-1 < y,y < 0), (y-x
)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-2666417/2097152, -2666417/2097152], [-3415591/
8388608, -3415591/8388608], [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 = 0, z < -(-x)^(1/2
)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/2
], [0, 0], [-2, -2]]]], [[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 = 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, 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 = 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, 6, 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, 6, 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, 1, 2, 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,
2, 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, 2, 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, 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(
0 < y,y < x), 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 < u^2-v^2+x+1, z = z], [regular_chain, [[3, 3], [0,
0], [-11, -11], [-20, -20], [0, 0]]]], [[11, 16, 7, 3, 1], [2^(1/2) < v, u = v
, 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[3, 3], [3, 3], [2, 2], [1
, 1], [0, 0]]]], [[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+2), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [-3/2, -3/2], [1/4, 1/4], [-3, -3]]]], [[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+2), z = -(y-x)^(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, 5, 3], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y
< x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [-3/2, -3/2], [1/4, 1/4], [0, 0]]]], [[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
+2), z = (y-x)^(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, 5,
5], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2), (
y-x)^(1/2) < z], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3
/2, -3/2], [1/4, 1/4], [3, 3]]]], [[1, 1, 10, 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 < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-5, -5], [15, 15], [33, 33], [-6, -6]]]], [[1, 1, 
10, 7, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = u^2-v^2-1, 2*u^2-2*v^2 < y,
z = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [15, 15], [33,
33], [-1112183/262144, -4448731/1048576]]]], [[1, 1, 10, 7, 3], [v < -2^(1/2),
u < -(v^2+2)^(1/2), x = u^2-v^2-1, 2*u^2-2*v^2 < y, And(-(y-u^2+v^2+1)^(1/2) <
z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-5, -5], [15, 15], [
33, 33], [0, 0]]]], [[1, 1, 10, 7, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), x =
u^2-v^2-1, 2*u^2-2*v^2 < y, z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3
], [-5, -5], [15, 15], [33, 33], [4448731/1048576, 1112183/262144]]]], [[1, 1,
10, 7, 5], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = u^2-v^2-1, 2*u^2-2*v^2 < y,
(y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5], [15, 15], [33,
33], [6, 6]]]], [[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(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z
< (y+1)^(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(-1 < y,y < 0), z = (y+
1)^(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(-1 < y,y < 0
), (y+1)^(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 = -u^2+v^2+2, z < -(-u^2+v^2+1)^(1/2)]
, [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1, 1], [
657289/262144, 2629157/1048576], [-3, -3]]]], [[1, 7, 10, 8, 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], [
657289/262144, 2629157/1048576], [-1287385/1048576, -160923/131072]]]], [[1, 7
, 10, 8, 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], [657289/262144, 2629157/
1048576], [0, 0]]]], [[1, 7, 10, 8, 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], [657289/262144, 2629157/
1048576], [160923/131072, 1287385/1048576]]]], [[1, 7, 10, 8, 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], [
657289/262144, 2629157/1048576], [3, 3]]]], [[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 = z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [0, 0], [-\
133259/262144, -1066071/2097152], [0, 0]]]], [[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 < u^2-v^2-1, z = z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3161161/
2097152, -395145/262144], [-3, -3], [0, 0]]]], [[1, 16, 5, 7, 1], [v < -2^(1/2
), u = -v, And(0 < x,x < 1), x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3,
-3], [3, 3], [1/2, 1/2], [3, 3], [-3, -3]]]], [[1, 16, 5, 7, 2], [v < -2^(1/2)
, u = -v, And(0 < x,x < 1), x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3,
-3], [3, 3], [1/2, 1/2], [3, 3], [-3315889/2097152, -207243/131072]]]], [[1, 
16, 5, 7, 3], [v < -2^(1/2), u = -v, And(0 < x,x < 1), x+1 < y, And(-(y-x)^(1/
2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [3, 3], [1/2, 1/2], [3, 3
], [0, 0]]]], [[1, 16, 5, 7, 4], [v < -2^(1/2), u = -v, And(0 < x,x < 1), x+1
< y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [1/2, 1/2], [3, 3],
[207243/131072, 1657945/1048576]]]], [[1, 16, 5, 7, 5], [v < -2^(1/2), u = -v,
And(0 < x,x < 1), x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [3, 3]
, [1/2, 1/2], [3, 3], [3, 3]]]], [[1, 21, 1, 9, 1], [v < -2^(1/2), (v^2+2)^(1/
2) < u, x < -u^2+v^2-1, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [
5, 5], [-18, -18], [1, 1], [-6, -6]]]], [[1, 21, 1, 9, 2], [v < -2^(1/2), (v^2
+2)^(1/2) < u, x < -u^2+v^2-1, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3,
-3], [5, 5], [-18, -18], [1, 1], [-4570637/1048576, -1142659/262144]]]], [[1,
21, 1, 9, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, 0 < y, And(-(y
-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [5, 5], [-18, -18]
, [1, 1], [0, 0]]]], [[1, 21, 1, 9, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, x <
-u^2+v^2-1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-18,
-18], [1, 1], [1142659/262144, 4570637/1048576]]]], [[1, 21, 1, 9, 5], [v < -2
^(1/2), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [5, 5], [-18, -18], [1, 1], [6, 6]]]], [[2, 1, 4, 5,
1], [v = -2^(1/2), u < -2, x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 <
y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-
(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 < 4), z < -(y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [1, 1], [5/2, 5/2]
, [-3, -3]]]], [[2, 10, 8, 5, 2], [v = -2^(1/2), u = 0, x = 1, And(1 < y,y < 4
), 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, 5,
3], [v = -2^(1/2), u = 0, x = 1, And(1 < y,y < 4), 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, 5, 4], [v = -2^(1/2), u = 0, x = 1, And
(1 < y,y < 4), 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, 5, 5], [v = -2^(1/2), u = 0, x = 1, And(1 < y,y < 4), (y-1)^(1/2) < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [1, 1], [5/2, 5/2
], [3, 3]]]], [[2, 12, 2, 3, 1], [v = -2^(1/2), u = 1, x = -2, And(-2 < y,y <
0), z < -(y+2)^(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(-2 < y,y < 0), z = -(y+2)^(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(-2 < y,y < 0), And(-(y+2)^(1/2) < z,z
< (y+2)^(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(-2 < y,y < 0), z = (y+2)^(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(-2 < y,y < 0), (y+2)^(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 = x, z <
0], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 
3913339/2097152], [-4, -4], [-4, -4], [-1, -1]]]], [[2, 17, 1, 4, 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, 4, 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, 9, 1], [v = -2^(1/2), u = 2, And(-3 < x,x < -1), x+3 < y, z < -(y-x)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-2, -2]
, [2, 2], [-3, -3]]]], [[2, 18, 3, 9, 2], [v = -2^(1/2), u = 2, And(-3 < x,x <
-1), x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [2, 2], [-2, -2], [2, 2], [-2, -2]]]], [[2, 18, 3, 9, 3], [v = -2^(1/
2), u = 2, And(-3 < x,x < -1), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-2, -2], [2, 2
], [0, 0]]]], [[2, 18, 3, 9, 4], [v = -2^(1/2), u = 2, And(-3 < x,x < -1), x+3
< y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2
, 2], [-2, -2], [2, 2], [2, 2]]]], [[2, 18, 3, 9, 5], [v = -2^(1/2), u = 2, 
And(-3 < x,x < -1), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [2, 2], [-2, -2], [2, 2], [3, 3]]]], [[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 = 0, z < -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [0, 0], [-2, -2]]]], [[3, 6, 2, 4, 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, 4, 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, 4, 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, 4, 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, 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 < x-u^2+v^2+1), z < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-3, -3], [-8388609/4194304, -8388609/4194304], [-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 < x-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-3
, -3], [-8388609/4194304, -8388609/4194304], [-8388607/8388608, -4398045986815
/4398046511104]]]], [[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 < x-u^2+v^2+1), And(-(
y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [987341/1048576, 987341/1048576], [-3, -3], [-8388609/4194304, -\
8388609/4194304], [-3670015/8796093022208, -3670015/8796093022208]]]], [[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 < x-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-3,
-3], [-8388609/4194304, -8388609/4194304], [1048575/1048576, 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 < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3
], [-8388609/4194304, -8388609/4194304], [2, 2]]]], [[3, 12, 5, 2, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 4, 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, 4, 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, 4, 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, 3, 9, 1
], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), u^2+x < y, z
< -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [-1821767/1048576, -1821767/1048576], [2, 2], [-3, -3]]]], [[4, 3, 3
, 9, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), u^2+x
< y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195
/4194304], [-1821767/1048576, -1821767/1048576], [2, 2], [-2027137/1048576, -\
16217095/8388608]]]], [[4, 3, 3, 9, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)
), And(-u^2 < x,x < -1), u^2+x < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1821767/
1048576, -1821767/1048576], [2, 2], [-7/16777216, -7/16777216]]]], [[4, 3, 3,
9, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), u^2+x <
y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [-1821767/1048576, -1821767/1048576], [2, 2], [15837/8192, 2027137/
1048576]]]], [[4, 3, 3, 9, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u
^2 < x,x < -1), u^2+x < y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [-1821767/1048576, -1821767/1048576], [2,
2], [3, 3]]]], [[4, 4, 8, 1, 1], [v = -1, u = -2^(1/2), x = 1, y < 0, z = z],
[regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [1, 1], [-1, -1
], [0, 0]]]], [[4, 11, 2, 5, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = -u^2, 
And(-2*u^2+2 < y,y < 0), z < -(u^2+y)^(1/2)], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-1527887/1048576, -763943/524288], [-\
7668971/16777216, -7668971/16777216], [-3, -3]]]], [[4, 11, 2, 5, 2], [v = -1,
And(1 < u,u < 2^(1/2)), x = -u^2, And(-2*u^2+2 < y,y < 0), z = -(u^2+y)^(1/2)]
, [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1527887/
1048576, -763943/524288], [-7668971/16777216, -7668971/16777216], [-1048577/
1048576, -1]]]], [[4, 11, 2, 5, 3], [v = -1, And(1 < u,u < 2^(1/2)), 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], [1265743/1048576, 1265743/1048576], [-1527887/
1048576, -763943/524288], [-7668971/16777216, -7668971/16777216], [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 < 0), z = (u^2+y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 
1265743/1048576], [-1527887/1048576, -763943/524288], [-7668971/16777216, -\
7668971/16777216], [1, 1048577/1048576]]]], [[4, 11, 2, 5, 5], [v = -1, And(1
< u,u < 2^(1/2)), x = -u^2, And(-2*u^2+2 < y,y < 0), (u^2+y)^(1/2) < z], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1527887/
1048576, -763943/524288], [-7668971/16777216, -7668971/16777216], [3, 3]]]], [
[4, 12, 6, 2, 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, 2, 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
, 2, 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, 7, 6, 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, 6, 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, 6, 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, 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 = x-u^2+v^2+1, z = z], [regular_chain
, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-4, -4], [-4680347/1048576
, -2340173/524288], [0, 0]]]], [[5, 12, 9, 2, 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, 5, 1], [v = 0, u < -2^(1/2), x = -u^2-1, 
And(-u^2-1 < y,y < 0), z < -(u^2+y+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3
], [-10, -10], [-5, -5], [-4, -4]]]], [[6, 1, 2, 5, 2], [v = 0, u < -2^(1/2),
x = -u^2-1, And(-u^2-1 < y,y < 0), z = -(u^2+y+1)^(1/2)], [regular_chain, [[0,
0], [-3, -3], [-10, -10], [-5, -5], [-146543/65536, -2344687/1048576]]]], [[6,
1, 2, 5, 3], [v = 0, u < -2^(1/2), x = -u^2-1, And(-u^2-1 < y,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], [-5, -5], [0, 0]]]], [[6, 1, 2, 5, 4], [v = 0, u < -2^(1/2), x = -u^
2-1, And(-u^2-1 < y,y < 0), z = (u^2+y+1)^(1/2)], [regular_chain, [[0, 0], [-3
, -3], [-10, -10], [-5, -5], [2344687/1048576, 146543/65536]]]], [[6, 1, 2, 5,
5], [v = 0, u < -2^(1/2), x = -u^2-1, And(-u^2-1 < y,y < 0), (u^2+y+1)^(1/2) <
z], [regular_chain, [[0, 0], [-3, -3], [-10, -10], [-5, -5], [4, 4]]]], [[6, 5
, 5, 1, 1], [v = 0, And(-1 < u,u < 0), And(-1 < x,x < u^2-1), y < x, z = z], [
regular_chain, [[0, 0], [-1/2, -1/2], [-7/8, -7/8], [-2, -2], [0, 0]]]], [[6,
7, 2, 2, 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, 2, 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, 2, 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, 3, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(x-
u^2+v^2+1 < y,y < 0), z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [1/2, 1/2
], [-29/8, -29/8], [0, 0]]]], [[7, 2, 9, 8, 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, 8, 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, 8
, 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, 8, 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, 8, 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, 7, 6, 7, 1], [And(0 <
v,v < 1), And(-v < u,u < v), x = -u^2+v^2-1, -2*u^2+2*v^2 < y, 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, 7, 2], [And(0 < v,v < 1), And(-v < u,u < v), x = -u^2+v^2-1,
-2*u^2+2*v^2 < y, 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,
7, 3], [And(0 < v,v < 1), And(-v < u,u < v), x = -u^2+v^2-1, -2*u^2+2*v^2 < y,
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, 7,
4], [And(0 < v,v < 1), And(-v < u,u < v), x = -u^2+v^2-1, -2*u^2+2*v^2 < y, 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, 7, 5], [And(0 < v,v < 1),
And(-v < u,u < v), x = -u^2+v^2-1, -2*u^2+2*v^2 < y, (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,
4, 1, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -1, y < -1, z =
z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1, -1],
[-2, -2], [0, 0]]]], [[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 = z], [regular_chain
, [[1/2, 1/2], [343151/262144, 343151/262144], [0, 0], [-243021/1048576, -\
243021/1048576], [0, 0]]]], [[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 = u^2+x, z < u], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [1546383/2097152, 1546383/2097152], [3368149/1048576, 1684075/524288
], [-3, -3]]]], [[8, 3, 9, 8, 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], [3368149/
1048576, 1684075/524288], [-1649549/1048576, -3299097/2097152]]]], [[8, 3, 9,
8, 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], [3368149/1048576, 1684075/524288
], [-1/4194304, -1/4194304]]]], [[8, 3, 9, 8, 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], [
3368149/1048576, 1684075/524288], [412387/262144, 1649549/1048576]]]], [[8, 3,
9, 8, 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], [3368149/1048576, 1684075/524288], [3, 3]]]
], [[8, 5, 4, 7, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = -1, And(0 < y,y < u
^2-1), z < -(y+1)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743
/1048576], [-1, -1], [239655/1048576, 239655/1048576], [-3, -3]]]], [[8, 5, 4,
7, 2], [v = 1, And(-2^(1/2) < u,u < -1), x = -1, And(0 < y,y < u^2-1), z = -(y
+1)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1
, -1], [239655/1048576, 239655/1048576], [-1162243/1048576, -581121/524288]]]]
, [[8, 5, 4, 7, 3], [v = 1, And(-2^(1/2) < u,u < -1), x = -1, And(0 < y,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], [239655/1048576, 239655/1048576]
, [0, 0]]]], [[8, 5, 4, 7, 4], [v = 1, And(-2^(1/2) < u,u < -1), x = -1, And(0
< y,y < u^2-1), z = (y+1)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576,
-1265743/1048576], [-1, -1], [239655/1048576, 239655/1048576], [581121/524288,
1162243/1048576]]]], [[8, 5, 4, 7, 5], [v = 1, And(-2^(1/2) < u,u < -1), x = -\
1, And(0 < y,y < u^2-1), (y+1)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-1, -1], [239655/1048576, 239655/1048576], [3, 3]
]]], [[8, 11, 8, 2, 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, 2, 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, 2, 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, 3, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), 
And(-u^2 < x,x < -1), And(x-u^2+2 < y,y < x), z = z], [regular_chain, [[1, 1],
[3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152], [-\
8282677/4194304, -8282677/4194304], [0, 0]]]], [[9, 2, 2, 3, 1], [And(1 < v,v
< 2^(1/2)), u = -(v^2+2)^(1/2), x = -3, And(-4 < y,y < -3), z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-3, -3], [-7/2, -7/2], [0, 0]]]], [[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 = x-u^2+
v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [-139585/524288, -139585/524288]
, [139585/524288, 279171/1048576], [-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 = x-u^
2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [-139585/524288, -139585/524288]
, [139585/524288, 279171/1048576], [-765155/1048576, -1530309/2097152]]]], [[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 = x-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], [-139585/524288, -139585/524288], [139585/524288, 
279171/1048576], [-1/4194304, -1/4194304]]]], [[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 = x-u^2+
v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [-139585/524288, -139585/524288]
, [139585/524288, 279171/1048576], [382577/524288, 765155/1048576]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
139585/524288, -139585/524288], [139585/524288, 279171/1048576], [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 < 0), 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, 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^2-1 < y,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], [-2599117/
2097152, -2599117/2097152], [-583671/524288, -1167341/1048576]]]], [[9, 15, 2,
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^2-1 < 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], [898327/
524288, 898327/524288], [-1299559/524288, -2599117/1048576], [-2599117/2097152
, -2599117/2097152], [0, 0]]]], [[9, 15, 2, 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^2-1 < y,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],
[-2599117/2097152, -2599117/2097152], [1167341/1048576, 583671/524288]]]], [[9
, 15, 2, 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^2-1 < y,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], [-2599117/2097152, -2599117/
2097152], [3, 3]]]], [[10, 2, 1, 7, 1], [v = 2^(1/2), u = -2, x < -3, And(x+3
< y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [-4, -4], [-1/2, -1/2], [-3, -3]]]], [[10, 2, 1, 7, 2], [v
= 2^(1/2), u = -2, x < -3, And(x+3 < y,y < 0), z = -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-4, -4], [-1/2, -\
1/2], [-7846825/4194304, -980853/524288]]]], [[10, 2, 1, 7, 3], [v = 2^(1/2),
u = -2, x < -3, And(x+3 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-4, -4], [-1/2, -\
1/2], [0, 0]]]], [[10, 2, 1, 7, 4], [v = 2^(1/2), u = -2, x < -3, And(x+3 < y,
y < 0), z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
-2, -2], [-4, -4], [-1/2, -1/2], [980853/524288, 1961707/1048576]]]], [[10, 2,
1, 7, 5], [v = 2^(1/2), u = -2, x < -3, And(x+3 < y,y < 0), (y-x)^(1/2) < z],
[regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-4, -4], [-1/2,
-1/2], [3, 3]]]], [[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-1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2],
[2078331/1048576, 519583/262144], [-3, -3]]]], [[10, 3, 5, 8, 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], [2078331/1048576, 519583/262144], [-825991/
524288, -3303963/2097152]]]], [[10, 3, 5, 8, 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], [2078331/1048576, 519583/262144], [-1/4194304
, -1/4194304]]]], [[10, 3, 5, 8, 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],
[2078331/1048576, 519583/262144], [1651981/1048576, 825991/524288]]]], [[10, 3
, 5, 8, 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], [2078331/1048576, 519583/
262144], [3, 3]]]], [[10, 9, 7, 7, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(0
< x,x < -u^2+1), And(x < y,y < x-u^2+3), z < -(y-x)^(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, 7, 2], [v = 2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+1
), And(x < y,y < x-u^2+3), z = -(y-x)^(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, 7, 3], [v = 2^(1/2), And(-1 < u,u < 0), And(0 <
x,x < -u^2+1), And(x < y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 4], [v = 2^(1/2), And(-1 < u,u < 0), And(
0 < x,x < -u^2+1), And(x < y,y < x-u^2+3), z = (y-x)^(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, 7, 5], [v = 2^(1/2), And(-1 <
u,u < 0), And(0 < x,x < -u^2+1), And(x < y,y < x-u^2+3), (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [3/8, 3/8], [7
/4, 7/4], [3, 3]]]], [[10, 10, 9, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 15, 7, 6, 1], [v =
2^(1/2), And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = x-u^2+3, z < -(-u^2
+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-275385/1048576, -275385/1048576], [275385/1048576
, 137693/524288], [-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 = x-u^2+3, z = -(-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-275385/1048576, -275385/1048576], [275385/1048576, 137693/524288],
[-1519901/2097152, -379975/524288]]]], [[10, 15, 7, 6, 3], [v = 2^(1/2), And(v
< u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = x-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], [-275385/1048576, -275385/1048576], [275385
/1048576, 137693/524288], [0, 0]]]], [[10, 15, 7, 6, 4], [v = 2^(1/2), And(v <
u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = x-u^2+3, z = (-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-275385/1048576, -275385/1048576], [275385/1048576, 137693/524288],
[379975/524288, 759951/1048576]]]], [[10, 15, 7, 6, 5], [v = 2^(1/2), And(v <
u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = x-u^2+3, (-u^2+3)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-275385/1048576, -275385/1048576], [275385/1048576, 137693/524288],
[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 < 0), 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, 5, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, And(-u^2+1 < y,y
< 0), 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, 5, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, And(-u^2+1 < y
,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], [-2602619/2097152, -2602619/2097152], [0, 0]]]], [[
10, 17, 2, 5, 4], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, And(-u^2+1
< y,y < 0), 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, 5, 5], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, And(-
u^2+1 < y,y < 0), (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
, 4, 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, 4, 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, 4, 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, 3
, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(x-u^2+v^2+1 < y
,y < x), z = z], [regular_chain, [[3, 3], [-5, -5], [-1/2, -1/2], [-8, -8], [0
, 0]]]], [[11, 5, 8, 3, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x =
0, And(0 < y,y < -u^2+v^2+1), z < -y^(1/2)], [regular_chain, [[3, 3], [-403851
/131072, -403851/131072], [0, 0], [66399/262144, 66399/262144], [-2, -2]]]], [
[11, 5, 8, 3, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 0, And(0 <
y,y < -u^2+v^2+1), z = -y^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [0, 0], [66399/262144, 66399/262144], [-527729/1048576, -\
1055457/2097152]]]], [[11, 5, 8, 3, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u
< -v), x = 0, And(0 < 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], [66399/
262144, 66399/262144], [-1/4194304, -1/4194304]]]], [[11, 5, 8, 3, 4], [2^(1/2
) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 0, And(0 < y,y < -u^2+v^2+1), z = y
^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [0, 0], [
66399/262144, 66399/262144], [32983/65536, 527729/1048576]]]], [[11, 5, 8, 3,
5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 0, And(0 < y,y < -u^2+v^
2+1), y^(1/2) < z], [regular_chain, [[3, 3], [-403851/131072, -403851/131072],
[0, 0], [66399/262144, 66399/262144], [2, 2]]]], [[11, 7, 4, 9, 1], [2^(1/2) <
v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, -u^2+v^2 < y, z < -(y+1)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-1, -1], [2, 2]
, [-3, -3]]]], [[11, 7, 4, 9, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2))
, x = -1, -u^2+v^2 < y, z = -(y+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-1, -1], [2, 2], [-1816187/1048576, -3632373/
2097152]]]], [[11, 7, 4, 9, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
x = -1, -u^2+v^2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain,
[[3, 3], [-6111549/2097152, -6111549/2097152], [-1, -1], [2, 2], [-1/4194304,
-1/4194304]]]], [[11, 7, 4, 9, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)
), x = -1, -u^2+v^2 < y, z = (y+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-1, -1], [2, 2], [908093/524288, 1816187/1048576]
]]], [[11, 7, 4, 9, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1,
-u^2+v^2 < y, (y+1)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-1, -1], [2, 2], [3, 3]]]], [[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(x < y,y < x-u^
2+v^2+1), z < -(y-x)^(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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(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(x < y,y < x-u^2+v^2+1)
, And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < x-u^2+v^2+1), z = (y-x)^(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(x < y,y
< x-u^2+v^2+1), (y-x)^(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
< -(y+1)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-\
1, -1], [-1/2, -1/2], [-2, -2]]]], [[11, 14, 4, 3, 2], [2^(1/2) < v, u = (v^2-\
1)^(1/2), x = -1, And(-1 < y,y < 0), z = -(y+1)^(1/2)], [regular_chain, [[3, 3
], [741455/262144, 2965821/1048576], [-1, -1], [-1/2, -1/2], [-1482911/2097152
, -741455/1048576]]]], [[11, 14, 4, 3, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), x
= -1, And(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(1/2)], [regular_chain, [[3, 3], [741455/262144,
2965821/1048576], [-1, -1], [-1/2, -1/2], [741455/1048576, 46341/65536]]]], [[
11, 14, 4, 3, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -1, And(-1 < y,y < 0),
(y+1)^(1/2) < z], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [
-1, -1], [-1/2, -1/2], [2, 2]]]], [[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 = x-u^2+v^2+1, z
= z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-915943/
524288, -915943/524288], [-2349931/1048576, -1174965/524288], [0, 0]]]], [[11,
20, 5, 1, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-1 < x,x < 0), y < x-1, z =
z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1/2, -1/2],
[-3, -3], [0, 0]]]], [[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 < 2*u^2-2*v^2), z < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-531193/1048576,
-1062385/2097152], [517383/1048576, 517383/1048576], [-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
< 2*u^2-2*v^2), z = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851
/131072, -403851/131072], [-531193/1048576, -1062385/2097152], [517383/1048576
, 517383/1048576], [-34359733895/34359738368, -4398045938559/4398046511104]]]]
, [[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 < 2*u^2-2*v^2), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^
(1/2))], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-531193
/1048576, -1062385/2097152], [517383/1048576, 517383/1048576], [-3621759/
8796093022208, -3621759/8796093022208]]]], [[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 < 2*u^2-2*v^2), z =
(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [-531193/1048576, -1062385/2097152], [517383/1048576, 517383/1048576]
, [1048575/1048576, 1]]]], [[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 < 2*u^2-2*v^2), (y-u^2+v^2+1)^(1/2) < z
], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-531193/
1048576, -1062385/2097152], [517383/1048576, 517383/1048576], [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-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
-6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288], [133001
/524288, 266003/1048576], [-3, -3]]]], [[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-u^2+v^2+1, z = -(-u^
2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-657289/524288, -657289/524288], [133001/524288, 266003/1048576], [
-1287385/1048576, -160923/131072]]]], [[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-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], [-657289/524288, -657289/524288], [133001/
524288, 266003/1048576], [0, 0]]]], [[1, 7, 3, 8, 4], [v < -2^(1/2), And(v < u
,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = x-u^2+v^2+1, z = (-u^2+v^
2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152],
[-657289/524288, -657289/524288], [133001/524288, 266003/1048576], [160923/
131072, 1287385/1048576]]]], [[1, 7, 3, 8, 5], [v < -2^(1/2), And(v < u,u < -(
v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2)
< z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-\
657289/524288, -657289/524288], [133001/524288, 266003/1048576], [3, 3]]]], [[
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 =
0, z = z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [2, 2], [
0, 0], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [-4, -4], [-4, -4], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [-4, -4], [-4, -4], [0, 0]]]], [[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 = x, 0 < z], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-4, -4], [-4, -\
4], [1, 1]]]], [[1, 20, 3, 9, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-3 < x
,x < -1), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [-2, -2], [2, 2], [-3, -3]]]], [[1, 20, 3, 9, 2], [v
< -2^(1/2), u = (v^2+2)^(1/2), And(-3 < x,x < -1), x+3 < y, z = -(y-x)^(1/2)],
[regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-2, -2], [2, 2]
, [-2, -2]]]], [[1, 20, 3, 9, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-3 < x
,x < -1), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
3, -3], [3477733/1048576, 1738867/524288], [-2, -2], [2, 2], [0, 0]]]], [[1, 
20, 3, 9, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-3 < x,x < -1), x+3 < y, z
= (y-x)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288],
[-2, -2], [2, 2], [2, 2]]]], [[1, 20, 3, 9, 5], [v < -2^(1/2), u = (v^2+2)^(1/
2), And(-3 < x,x < -1), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3],
[3477733/1048576, 1738867/524288], [-2, -2], [2, 2], [3, 3]]]], [[2, 3, 4, 7,
1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, And(0 < y,y < u^2-2), z <
-(y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [-1, -1], [1554043/2097152, 1554043/2097152], [-3,
-3]]]], [[2, 3, 4, 7, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, And
(0 < y,y < u^2-2), z = -(y+1)^(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, 7
, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, And(0 < y,y < u^2-2), 
And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3913339/2097152, -3913339/2097152], [-1, -1], [1554043/
2097152, 1554043/2097152], [0, 0]]]], [[2, 3, 4, 7, 4], [v = -2^(1/2), And(-2
< u,u < -3^(1/2)), x = -1, And(0 < y,y < u^2-2), z = (y+1)^(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, 7, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2
)), x = -1, And(0 < y,y < u^2-2), (y+1)^(1/2) < z], [regular_chain, [[-1482911
/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-1, -1], [
1554043/2097152, 1554043/2097152], [3, 3]]]], [[2, 4, 9, 1, 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], [-1, -1], [0, 0]
]]], [[2, 7, 3, 9, 1], [v = -2^(1/2), And(v < u,u < -1), And(u^2-3 < x,x < -1)
, x-u^2+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/
2097152], [2, 2], [-3, -3]]]], [[2, 7, 3, 9, 2], [v = -2^(1/2), And(v < u,u <
-1), And(u^2-3 < x,x < -1), x-u^2+3 < y, z = -(y-x)^(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, 9, 3], [v = -2^(1/2), And(v < u,u < -1), And(u^2-3 < x,x < -1)
, x-u^2+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
2666417/2097152, -2666417/2097152], [2, 2], [0, 0]]]], [[2, 7, 3, 9, 4], [v =
-2^(1/2), And(v < u,u < -1), And(u^2-3 < x,x < -1), x-u^2+3 < y, z = (y-x)^(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, 9, 5], [v = -2^(1/2), And(v < u,u < -1), And
(u^2-3 < x,x < -1), x-u^2+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-2666417/
2097152, -2666417/2097152], [2, 2], [3, 3]]]], [[2, 8, 8, 1, 1], [v = -2^(1/2)
, u = -1, x = 1, y < 0, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1, -1], [1, 1], [-1, -1], [0, 0]]]], [[2, 13, 2, 1, 1], [v = -2^(1/
2), And(1 < u,u < -v), x = u^2-3, y < u^2-3, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-\
3235683/2097152, -1617841/1048576], [-3, -3], [0, 0]]]], [[2, 14, 5, 7, 1], [v
= -2^(1/2), u = -v, And(0 < x,x < 1), x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [1/2, 1/2], [3, 3], [-3, -3]]]], [[2, 14, 5, 7, 2], [v = -2^(1/2), u
= -v, And(0 < x,x < 1), x+1 < y, z = -(y-x)^(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, 7, 3], [v = -2^(1/2), u
= -v, And(0 < x,x < 1), x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [1/2, 1/2], [3, 3], [0, 0]]]], [[2, 14, 5, 7, 4], [v = -2^(1/2), u =
-v, And(0 < x,x < 1), x+1 < y, z = (y-x)^(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, 7, 5], [v = -2^(1/2), u = -
v, And(0 < x,x < 1), x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [741455/524288, 1482911/1048576], [1/2, 1/2], [3, 3]
, [3, 3]]]], [[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 = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [-1, -1], [-9, -9], [0, 0]]]], [[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-u^2
+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/
2097152], [2, 2], [-3, -3]]]], [[3, 7, 3, 9, 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), x-u^2+v^2+1 < y, z =
-(y-x)^(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, 9, 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), x-u^2+v^2+
1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2695357/
2097152, -2695357/2097152], [2, 2], [0, 0]]]], [[3, 7, 3, 9, 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), x-u^2+v
^2+1 < y, z = (y-x)^(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, 9, 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)
, x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -\
2695357/2097152], [2, 2], [3, 3]]]], [[3, 8, 8, 1, 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], [-1, -\
1], [0, 0]]]], [[4, 1, 3, 6, 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, 6, 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, 6, 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, 6,
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, 6, 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, 5, 9, 1], [v = -1, u = -3^(1/2), And(-1 < x,x < 0), x+3 < y, z
< -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/
2097152], [-1/2, -1/2], [4, 4], [-4, -4]]]], [[4, 2, 5, 9, 2], [v = -1, u = -3
^(1/2), And(-1 < x,x < 0), x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -\
1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [4, 4], [-1112183/
524288, -2224365/1048576]]]], [[4, 2, 5, 9, 3], [v = -1, u = -3^(1/2), And(-1
< x,x < 0), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [
[-1, -1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [4, 4], [0, 0]]]
], [[4, 2, 5, 9, 4], [v = -1, u = -3^(1/2), And(-1 < x,x < 0), x+3 < y, z = (y
-x)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [
-1/2, -1/2], [4, 4], [2224365/1048576, 1112183/524288]]]], [[4, 2, 5, 9, 5], [
v = -1, u = -3^(1/2), And(-1 < x,x < 0), x+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2],
[4, 4], [4, 4]]]], [[4, 7, 3, 3, 1], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x
,x < -1), And(x < y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1],
[-1/2, -1/2], [-11/8, -11/8], [-5/4, -5/4], [-2, -2]]]], [[4, 7, 3, 3, 2], [v
= -1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), And(x < y,y < u^2+x), z = -(y-
x)^(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, 3, 3], [v = -1, And(-1 < u
,u < 0), And(u^2-2 < x,x < -1), And(x < y,y < u^2+x), And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -11/8], [-5/4,
-5/4], [0, 0]]]], [[4, 7, 3, 3, 4], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,
x < -1), And(x < y,y < u^2+x), z = (y-x)^(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, 3, 5], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), And(x < y,
y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8,
-11/8], [-5/4, -5/4], [2, 2]]]], [[4, 8, 7, 2, 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, 3, 1], [v = -1, u = 3^(1/2), And(0 < x,x < 1), And(x-1 <
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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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 = x-u^2+v^2+1, z < -(-u^2+v^2
+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152
], [-2521309/2097152, -2521309/2097152], [-159059/262144, -1272471/2097152], [
-2, -2]]]], [[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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-2521309/
2097152, -2521309/2097152], [-159059/262144, -1272471/2097152], [-1618333/
2097152, -3236665/4194304]]]], [[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 = x-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], [-2521309/2097152, -2521309/2097152], [-\
159059/262144, -1272471/2097152], [-1/8388608, -1/8388608]]]], [[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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
-1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [-\
159059/262144, -1272471/2097152], [404583/524288, 809167/1048576]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -\
1/2], [-1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/
2097152], [-159059/262144, -1272471/2097152], [2, 2]]]], [[5, 6, 7, 3, 1], [
And(-1 < v,v < 0), u = v, 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[-\
1/2, -1/2], [-1/2, -1/2], [2, 2], [1, 1], [0, 0]]]], [[5, 9, 4, 4, 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], [-2, -2]]]], [[5, 9, 4, 4, 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], [-1618333/2097152, -\
3236665/4194304]]]], [[5, 9, 4, 4, 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], [-1/8388608, -1/8388608]]]], [[5,
9, 4, 4, 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], [
404583/524288, 809167/1048576]]]], [[5, 9, 4, 4, 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], [2, 2]]]], [[5, 10, 8, 5, 1], [And(-1 < v,v <
0), u = (v^2+1)^(1/2), x = 1, And(1 < y,y < 3), z < -(y-1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [1, 1], [2, 2]
, [-2, -2]]]], [[5, 10, 8, 5, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = 1
, And(1 < y,y < 3), z = -(y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343
/1048576, 146543/131072], [1, 1], [2, 2], [-1, -1]]]], [[5, 10, 8, 5, 3], [And
(-1 < v,v < 0), u = (v^2+1)^(1/2), x = 1, And(1 < y,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], [2, 2], [0, 0]]]], [[5, 10, 8, 5, 4], [And(-1 < v,v < 0), u =
(v^2+1)^(1/2), x = 1, And(1 < y,y < 3), z = (y-1)^(1/2)], [regular_chain, [[-1
/2, -1/2], [1172343/1048576, 146543/131072], [1, 1], [2, 2], [1, 1]]]], [[5, 
10, 8, 5, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = 1, And(1 < y,y < 3),
(y-1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/
131072], [1, 1], [2, 2], [2, 2]]]], [[6, 1, 9, 3, 1], [v = 0, u < -2^(1/2), 
And(1 < x,x < u^2-1), And(x-u^2+1 < y,y < 0), z = z], [regular_chain, [[0, 0],
[-3, -3], [9/2, 9/2], [-7/4, -7/4], [0, 0]]]], [[6, 3, 3, 1, 1], [v = 0, And(-
2^(1/2) < u,u < -1), And(-u^2-1 < x,x < -1), y < x-u^2+1, z = z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1812519/
1048576, -1812519/1048576], [-4, -4], [0, 0]]]], [[6, 9, 4, 5, 1], [v = 0, And
(1 < u,u < 2^(1/2)), x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1
< y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)
^(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(-1 < y,y < 0), (y+1)^(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-1, z = z], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [1/2,
1/2], [-2, -2], [0, 0]]]], [[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 = 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, 6,
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, 6, 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, 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 =
x, z < 0], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152],
[-2521309/2097152, -2521309/2097152], [-1260655/1048576, -630327/524288], [-1,
-1]]]], [[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 = x, z = 0], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [-\
1260655/1048576, -630327/524288], [0, 0]]]], [[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 = x, 0 < z],
[regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-2521309/
2097152, -2521309/2097152], [-1260655/1048576, -630327/524288], [1, 1]]]], [[8
, 1, 9, 1, 1], [v = 1, u < -3^(1/2), And(1 < x,x < u^2-2), y < x-u^2+2, z = z]
, [regular_chain, [[1, 1], [-3, -3], [4, 4], [-4, -4], [0, 0]]]], [[8, 3, 2, 2
, 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], [-49484237/16777216, -12371059/4194304], [0, 0]]]],
[[8, 7, 9, 2, 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,
4, 1, 1], [v = 1, And(0 < u,u < 1), x = -1, y < -1, z = z], [regular_chain, [[
1, 1], [1/2, 1/2], [-1, -1], [-2, -2], [0, 0]]]], [[8, 15, 3, 9, 1], [v = 1, 3
^(1/2) < u, And(-u^2 < x,x < -1), u^2+x < y, z < -(y-x)^(1/2)], [regular_chain
, [[1, 1], [3, 3], [-5, -5], [5, 5], [-5, -5]]]], [[8, 15, 3, 9, 2], [v = 1, 3
^(1/2) < u, And(-u^2 < x,x < -1), u^2+x < y, z = -(y-x)^(1/2)], [regular_chain
, [[1, 1], [3, 3], [-5, -5], [5, 5], [-3315889/1048576, -207243/65536]]]], [[8
, 15, 3, 9, 3], [v = 1, 3^(1/2) < u, And(-u^2 < x,x < -1), u^2+x < y, And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [3, 3], [-5, -5], [5,
5], [0, 0]]]], [[8, 15, 3, 9, 4], [v = 1, 3^(1/2) < u, And(-u^2 < x,x < -1), u
^2+x < y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [3, 3], [-5, -5], [5, 5],
[207243/65536, 3315889/1048576]]]], [[8, 15, 3, 9, 5], [v = 1, 3^(1/2) < u, 
And(-u^2 < x,x < -1), u^2+x < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [3
, 3], [-5, -5], [5, 5], [5, 5]]]], [[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 < -(u^2-v^2+1)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1/2, -1/2]
, [8433585/1048576, 4216793/524288], [-4, -4]]]], [[9, 1, 5, 8, 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], [8433585/1048576, 4216793/524288], [-1532401/524288, -\
24518415/8388608]]]], [[9, 1, 5, 8, 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], [8433585/1048576, 4216793/524288], [-7/16777216, -7/16777216]]
]], [[9, 1, 5, 8, 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], [8433585/1048576, 4216793/
524288], [3064801/1048576, 1532401/524288]]]], [[9, 1, 5, 8, 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], [8433585/1048576, 4216793/524288], [4, 4]]]], [[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(
0 < y,y < x), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[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(0 < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [
-1498947/2097152, -1498947/2097152], [897307/2097152, 897307/2097152], [-3, -3
]]]], [[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(0 < y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [897307/2097152, 
897307/2097152], [-1120861/1048576, -280215/262144]]]], [[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(0 < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [897307/2097152, 
897307/2097152], [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(0 < y,y < x-u^2+v^2+1
), z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-1498947/2097152, -1498947/2097152], [
897307/2097152, 897307/2097152], [280215/262144, 1120861/1048576]]]], [[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(0 < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
1498947/2097152, -1498947/2097152], [897307/2097152, 897307/2097152], [3, 3]]]
], [[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(0 < y,y < -u^2+v^2-1), z = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [0, 0], [239655/524288, 479311/1048576],
[239655/1048576, 239655/1048576], [0, 0]]]], [[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 = 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], [-897307/1048576, -3589227/4194304], [-2, -2]]]], [[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 = 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], [-897307/1048576, -3589227/4194304], [-1374407/2097152, -\
687203/1048576]]]], [[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 = u^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], [-897307/1048576, -3589227/4194304], [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 = 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], [-897307/1048576, -3589227/4194304], [687203/1048576, 171801
/262144]]]], [[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 = 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], [-897307/1048576, -3589227/
4194304], [2, 2]]]], [[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 = 0, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [1, 1], [0, 0], [0,
0]]]], [[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(x-u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [-10006449/2097152, -10006449/
2097152], [-33734339/4194304, -33734339/4194304], [0, 0]]]], [[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], [550769/1048576, 275385/524288], [-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], [550769/1048576, 275385/524288], [-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], [550769/1048576, 275385/524288], [-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], [550769/1048576, 275385/524288], [
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],
[550769/1048576, 275385/524288], [2, 2]]]], [[10, 7, 5, 1, 1], [v = 2^(1/2), 
And(-v < u,u < -1), And(-1 < x,x < -u^2+1), y < x, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
1527887/2097152, -1527887/2097152], [-2, -2], [0, 0]]]], [[10, 11, 8, 3, 1], [
v = 2^(1/2), And(0 < u,u < 1), x = -u^2+1, And(0 < y,y < -u^2+1), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [3/4, 3/4], [3/8
, 3/8], [0, 0]]]], [[10, 13, 3, 4, 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], [-426949/524288, -3415591/4194304], [-2, -2]]]], [
[10, 13, 3, 4, 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], [
-426949/524288, -3415591/4194304], [-1417877/2097152, -354469/524288]]]], [[10
, 13, 3, 4, 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], [-426949/524288, -3415591/4194304], [0, 0]]]], [[
10, 13, 3, 4, 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], [-\
426949/524288, -3415591/4194304], [354469/524288, 708939/1048576]]]], [[10, 13
, 3, 4, 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], [-\
426949/524288, -3415591/4194304], [2, 2]]]], [[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 < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [-1/2, -1/2], [3, 3], [-3, -3]]]], [[11, 3, 5, 9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [-1/2, -1/2], [3, 3], [-7846825/4194304, -980853/524288]]]], [[11, 3
, 5, 9, 3], [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, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/2], [3
, 3], [0, 0]]]], [[11, 3, 5, 9, 4], [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 = (y-x)^(1/2)], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/2], [3
, 3], [980853/524288, 1961707/1048576]]]], [[11, 3, 5, 9, 5], [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
, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [-1/2, -1/2], [3, 3], [3, 3]]]], [[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 < x, z = z], [regular_chain,
[[3, 3], [-403851/131072, -403851/131072], [-3, -3], [-4, -4], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [533035/2097152, 533035/2097152], [266517/1048576
, 133259/524288], [-1, -1]]]], [[11, 9, 7, 6, 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], [266517/1048576, 133259/524288], [0, 0]]]], [[11, 9,
7, 6, 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], [266517/1048576, 133259/
524288], [1, 1]]]], [[11, 10, 9, 7, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), 1 <
x, And(x < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [2, 2], [7/2, 7/2], [-3, -3]]]], [[11, 10, 9, 7, 2
], [2^(1/2) < v, u = -(v^2-2)^(1/2), 1 < x, And(x < y,y < x+3), z = -(y-x)^(1/
2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [2, 2], [7
/2, 7/2], [-1284239/1048576, -642119/524288]]]], [[11, 10, 9, 7, 3], [2^(1/2)
< v, u = -(v^2-2)^(1/2), 1 < x, And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [
2, 2], [7/2, 7/2], [0, 0]]]], [[11, 10, 9, 7, 4], [2^(1/2) < v, u = -(v^2-2)^(
1/2), 1 < x, And(x < y,y < x+3), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [2, 2], [7/2, 7/2], [642119/524288, 
1284239/1048576]]]], [[11, 10, 9, 7, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), 1 <
x, And(x < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [2, 2], [7/2, 7/2], [3, 3]]]], [[11, 16, 7, 6, 1],
[2^(1/2) < v, u = v, 1 < x, y = x+1, z < -1], [regular_chain, [[3, 3], [3, 3],
[2, 2], [3, 3], [-2, -2]]]], [[11, 16, 7, 6, 2], [2^(1/2) < v, u = v, 1 < x, y
= x+1, z = -1], [regular_chain, [[3, 3], [3, 3], [2, 2], [3, 3], [-1, -1]]]],
[[11, 16, 7, 6, 3], [2^(1/2) < v, u = v, 1 < x, y = x+1, And(-1 < z,z < 1)], [
regular_chain, [[3, 3], [3, 3], [2, 2], [3, 3], [0, 0]]]], [[11, 16, 7, 6, 4],
[2^(1/2) < v, u = v, 1 < x, y = x+1, z = 1], [regular_chain, [[3, 3], [3, 3],
[2, 2], [3, 3], [1, 1]]]], [[11, 16, 7, 6, 5], [2^(1/2) < v, u = v, 1 < x, y =
x+1, 1 < z], [regular_chain, [[3, 3], [3, 3], [2, 2], [3, 3], [2, 2]]]], [[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 < 0, z = z], [regular_chain, [[-3, -3], [-5, -5], [16, 16], [-1, -1], [0,
0]]]], [[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 = 0, z < -1], [regular_chain, [[-3, -3], [-3396811/1048576, -\
3396811/1048576], [-1, -1], [0, 0], [-2, -2]]]], [[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 = 0, z = -1], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-1, -1], [0,
0], [-1, -1]]]], [[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 = 0, And(-1 < z,z < 1)], [regular_chain, [[-3, -3],
[-3396811/1048576, -3396811/1048576], [-1, -1], [0, 0], [0, 0]]]], [[1, 3, 4,
6, 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, 6, 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, 7
, 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, 7, 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, 7, 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, 7, 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, 7, 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, 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 = z], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [0, 0], [-2, -2], [0, 0]]]], [[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 = u^2-v^
2-1, z < 0], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-\
3161161/2097152, -395145/262144], [-3161161/2097152, -395145/262144], [-1, -1]
]]], [[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 = u^2-v^2-1, z = 0], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [-3161161/2097152, -395145/262144], [-3161161/2097152, -\
395145/262144], [0, 0]]]], [[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 = u^2-v^2-1, 0 < z], [regular_chain, [[-3, -3],
[6111549/2097152, 6111549/2097152], [-3161161/2097152, -395145/262144], [-\
3161161/2097152, -395145/262144], [1, 1]]]], [[1, 16, 6, 1, 1], [v < -2^(1/2),
u = -v, x = 1, y < 0, z = z], [regular_chain, [[-3, -3], [3, 3], [1, 1], [-1,
-1], [0, 0]]]], [[1, 21, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 4, 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, 4, 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, 4, 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, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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,
2, 4, 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, 4, 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, 4, 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, 4,
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, 4, 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, 3, 1], [v = -2^(1/2), And(3^(1/2) < u,u <
2), x < -u^2+1, And(x-u^2+3 < y,y < x), z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-4, -4], [-\
8894075/2097152, -8894075/2097152], [0, 0]]]], [[2, 18, 3, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 4, 8, 5, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x
= 1, And(1 < y,y < 3), z < -(y-1)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-410915/262144, -3287319/2097152], [1, 1], [2, 2], [-2, -2
]]]], [[3, 4, 8, 5, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = 1,
And(1 < y,y < 3), z = -(y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-410915/262144, -3287319/2097152], [1, 1], [2, 2], [-1, -1]
]]], [[3, 4, 8, 5, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = 1, 
And(1 < y,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]
, [2, 2], [0, 0]]]], [[3, 4, 8, 5, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)
^(1/2), x = 1, And(1 < y,y < 3), z = (y-1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [1, 1], [2, 2]
, [1, 1]]]], [[3, 4, 8, 5, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2),
x = 1, And(1 < y,y < 3), (y-1)^(1/2) < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-410915/262144, -3287319/2097152], [1, 1], [2, 2], [2, 2]]
]], [[3, 6, 2, 5, 1], [And(-2^(1/2) < v,v < -1), u = v, x = -1, 0 < y, z < -(y
+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [-1, -1], [1, 1], [-3, -3]]]], [[3, 6, 2, 5, 2], [
And(-2^(1/2) < v,v < -1), u = v, x = -1, 0 < y, z = -(y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [1, 1], [-1482911/1048576, -741455/524288]]]], [[3
, 6, 2, 5, 3], [And(-2^(1/2) < v,v < -1), u = v, x = -1, 0 < y, And(-(y+1)^(1/
2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-1265743/1048576, -1265743/1048576], [-1, -1], [1, 1], [0, 0]]]], [[3, 6,
2, 5, 4], [And(-2^(1/2) < v,v < -1), u = v, x = -1, 0 < y, z = (y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [1, 1], [741455/524288, 1482911/1048576]]]], [[3,
6, 2, 5, 5], [And(-2^(1/2) < v,v < -1), u = v, x = -1, 0 < y, (y+1)^(1/2) < z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [1, 1], [3, 3]]]], [[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], [-2695357/1048576, -5390713/
2097152], [-2, -2]]]], [[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], [-2695357/1048576, -5390713/2097152], [-1374407/2097152,
-687203/1048576]]]], [[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], [-2695357/1048576, -5390713/
2097152], [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], [-2695357/1048576, -5390713/2097152], [687203/1048576, 
171801/262144]]]], [[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], [-2695357/1048576, -5390713/2097152], [2, 2]]]], [[3, 12,
5, 1, 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], [-1, -1], [0, 0]]]], [[3, 14, 9, 5, 1], [And(-2^
(1/2) < v,v < -1), u = (v^2+1)^(1/2), 1 < x, And(x < y,y < x+2), z < -(y-x)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576,
410915/262144], [2, 2], [3, 3], [-2, -2]]]], [[3, 14, 9, 5, 2], [And(-2^(1/2)
< v,v < -1), u = (v^2+1)^(1/2), 1 < x, And(x < y,y < x+2), z = -(y-x)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 
410915/262144], [2, 2], [3, 3], [-1, -1]]]], [[3, 14, 9, 5, 3], [And(-2^(1/2)
< v,v < -1), u = (v^2+1)^(1/2), 1 < x, And(x < y,y < x+2), And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1643659/1048576, 410915/262144], [2, 2], [3, 3], [0, 0]]]], [[3, 14, 9, 5, 4],
[And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), 1 < x, And(x < y,y < x+2), z = (
y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/
1048576, 410915/262144], [2, 2], [3, 3], [1, 1]]]], [[3, 14, 9, 5, 5], [And(-2
^(1/2) < v,v < -1), u = (v^2+1)^(1/2), 1 < x, And(x < y,y < x+2), (y-x)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576,
410915/262144], [2, 2], [3, 3], [2, 2]]]], [[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-1 < y,y < x), z = z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-2, -2], [-5/2, -5/2], [0, 0]]]], [[4, 3, 4, 1, 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], [-3, -3], [0, 0]]]], [[4, 4
, 8, 2, 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, 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], [-1917243/2097152, -7668971/8388608], [-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], [-1917243/2097152, -\
7668971/8388608], [-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], [-1917243/2097152, -7668971/
8388608], [-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], [
-1917243/2097152, -7668971/8388608], [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], [-1917243/2097152, -7668971/8388608], [2, 2
]]]], [[4, 12, 6, 1, 1], [v = -1, u = 2^(1/2), x = 0, y < 0, z = z], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [0, 0], [-1, -1],
[0, 0]]]], [[5, 1, 7, 7, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(0 < x
,x < 1), And(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1/2
, -1/2], [-3, -3], [1/2, 1/2], [43/8, 43/8], [-4, -4]]]], [[5, 1, 7, 7, 2], [
And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < u^2-v^2
+x+1), z = -(y-x)^(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, 7, 3], [And(-\
1 < v,v < 0), u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < u^2-v^2+x+1)
, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3,
-3], [1/2, 1/2], [43/8, 43/8], [0, 0]]]], [[5, 1, 7, 7, 4], [And(-1 < v,v < 0)
, u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < u^2-v^2+x+1), z = (y-x)^
(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, 7, 5], [And(-1 < v,v < 0), u <
-(v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z]
, [regular_chain, [[-1/2, -1/2], [-3, -3], [1/2, 1/2], [43/8, 43/8], [4, 4]]]]
, [[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(x-u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[-1
/2, -1/2], [-343151/262144, -343151/262144], [-4, -4], [-4437325/1048576, -\
4437325/1048576], [0, 0]]]], [[5, 12, 9, 1, 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], [-1, -1], [0, 0]]]], [[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 = x, z < 0], [
regular_chain, [[0, 0], [-1/2, -1/2], [-7/8, -7/8], [-7/8, -7/8], [-1, -1]]]],
[[6, 5, 5, 2, 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, 2, 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, 3, 1], [v = 0, And(0 < u,u < 1), x = -u^2-1, And(-u^2-1 < y,
y < -2*u^2), 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, 3, 2], [v = 0, And(0 < u,u < 1)
, x = -u^2-1, And(-u^2-1 < y,y < -2*u^2), 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, 3, 3], [v = 0, And(0 < u,u < 1), x =
-u^2-1, And(-u^2-1 < 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], [-7/8, -7/8], [0, 0]]
]], [[6, 7, 2, 3, 4], [v = 0, And(0 < u,u < 1), x = -u^2-1, And(-u^2-1 < y,y <
-2*u^2), 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, 3, 5], [v = 0,
And(0 < u,u < 1), x = -u^2-1, And(-u^2-1 < y,y < -2*u^2), (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, 2, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y =
x-u^2+v^2+1, z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [1/2, 1/2], [-29/4
, -29/4], [0, 0]]]], [[7, 2, 9, 7, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2),
1 < x, And(x < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3
/2, -3/2], [2, 2], [7/2, 7/2], [-3, -3]]]], [[7, 2, 9, 7, 2], [And(0 < v,v < 1
), u = -(v^2+2)^(1/2), 1 < x, And(x < y,y < x+3), z = -(y-x)^(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, 7, 3], [And(0 < v,v < 1), u = -(v^2+2)
^(1/2), 1 < x, And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [2, 2], [7/2, 7/2], [0, 0]]]], [[7,
2, 9, 7, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), 1 < x, And(x < y,y < x+3),
z = (y-x)^(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, 7, 5], [And(0 < v,v < 1), u
= -(v^2+2)^(1/2), 1 < x, And(x < y,y < x+3), (y-x)^(1/2) < z], [regular_chain,
[[1/2, 1/2], [-3/2, -3/2], [2, 2], [7/2, 7/2], [3, 3]]]], [[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 < x, z = z],
[regular_chain, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [-2, -2], [0, 0]]]], [[7, 9
, 4, 2, 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, 2, 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, 2, 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, 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 < 4), 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, 5, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 3], [And(0 < v,v < 1), u
= (v^2+2)^(1/2), x = 1, And(1 < y,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], [5/2, 5/2], [0, 0]]]], [[
7, 12, 8, 5, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = 1, And(1 < y,y < 4)
, 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, 5, 5], [And(0 < v,v < 1),
u = (v^2+2)^(1/2), x = 1, And(1 < y,y < 4), (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, 7, 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),
z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [1546383/2097152, 1546383/2097152], [4141341/2097152, 4141341/
2097152], [-3, -3]]]], [[8, 3, 9, 7, 2], [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), z = -(y-x)^(1/2)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [1546383/2097152
, 1546383/2097152], [4141341/2097152, 4141341/2097152], [-145801/131072, -\
1166407/1048576]]]], [[8, 3, 9, 7, 3], [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), And(-(y-x)^(1/2) < z,z < (y-x)^(1/
2))], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [1546383/
2097152, 1546383/2097152], [4141341/2097152, 4141341/2097152], [0, 0]]]], [[8,
3, 9, 7, 4], [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), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [1546383/2097152, 1546383/2097152], [4141341/
2097152, 4141341/2097152], [1166407/1048576, 145801/131072]]]], [[8, 3, 9, 7,
5], [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), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [1546383/2097152, 1546383/2097152], [4141341/2097152, 
4141341/2097152], [3, 3]]]], [[8, 5, 4, 6, 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, 6, 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,
6, 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, 6, 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, 6, 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, 8, 3, 1], [v = 1, And(1 < u,u
< 2^(1/2)), x = 0, And(0 < y,y < -u^2+2), z < -y^(1/2)], [regular_chain, [[1,
1], [1265743/1048576, 1265743/1048576], [0, 0], [569265/2097152, 569265/
2097152], [-2, -2]]]], [[8, 11, 8, 3, 2], [v = 1, And(1 < u,u < 2^(1/2)), x =
0, And(0 < y,y < -u^2+2), 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, 3, 3], [v = 1, And(1 < u,u < 2^(1/2)
), x = 0, And(0 < y,y < -u^2+2), 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, 3, 4], [v =
1, And(1 < u,u < 2^(1/2)), x = 0, And(0 < y,y < -u^2+2), 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, 3, 5
], [v = 1, And(1 < u,u < 2^(1/2)), x = 0, And(0 < y,y < -u^2+2), y^(1/2) < z],
[regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [0, 0], [569265/
2097152, 569265/2097152], [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 = x, z < 0], [regular_chain, [[1, 1],
[3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152], [-\
3643533/2097152, -3643533/2097152], [-1, -1]]]], [[8, 13, 3, 4, 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], [-3643533/2097152, -3643533/2097152], [0, 0]]]], [[8, 13, 3
, 4, 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], [-3643533/2097152, -3643533/2097152], [1, 1]]]], [
[9, 2, 2, 2, 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, 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 = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-14373233/8388608, -14373233/8388608], [0, 0], [-501965/2097152, -501965/
2097152], [0, 0]]]], [[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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1)
, z < -(y-x)^(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, 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(x-u^2+v^2+1 < y
,y < u^2-v^2+x+1), z = -(y-x)^(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, 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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = (y-x
)^(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, 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(x-u^2+v^2+1 < y,y < u^2-v^
2+x+1), (y-x)^(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, 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 = 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, 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 = 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, 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 = 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, 6
, 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, 6, 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, 2, 1, 6, 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, 6, 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,
6, 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, 6, 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,
6, 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, 7, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), And(
0 < y,y < u^2+x-1), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2], [2078331
/2097152, 2078331/2097152], [-3, -3]]]], [[10, 3, 5, 7, 2], [v = 2^(1/2), And(
-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), And(0 < y,y < u^2+x-1), z = -(y-x)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [-1/2, -1/2], [2078331/2097152, 2078331/2097152], [-1280391/
1048576, -640195/524288]]]], [[10, 3, 5, 7, 3], [v = 2^(1/2), And(-2 < u,u < -
3^(1/2)), And(-1 < x,x < 0), And(0 < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [-1/2, -1/2], [2078331/2097152, 2078331/2097152],
[0, 0]]]], [[10, 3, 5, 7, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 <
x,x < 0), And(0 < y,y < u^2+x-1), z = (y-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2],
[2078331/2097152, 2078331/2097152], [640195/524288, 1280391/1048576]]]], [[10,
3, 5, 7, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), And(0
< y,y < u^2+x-1), (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2], [2078331/2097152
, 2078331/2097152], [3, 3]]]], [[10, 9, 7, 8, 1], [v = 2^(1/2), And(-1 < u,u <
0), And(0 < x,x < -u^2+1), y = x-u^2+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, 8, 2], [v = 2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u
^2+1), y = x-u^2+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, 8, 3], [v = 2^(1/2), And(-1 < u,u < 0), And(0
< x,x < -u^2+1), y = x-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], [3/8, 3/8], [
25/8, 25/8], [-1/4194304, -1/4194304]]]], [[10, 9, 7, 8, 4], [v = 2^(1/2), And
(-1 < u,u < 0), And(0 < x,x < -u^2+1), y = x-u^2+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, 8, 5], [v = 2^(1
/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+1), y = x-u^2+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, 10, 9, 9, 1], [v = 2^(1/2), u = 0, 1 < x, x+3
< y, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0,
0], [2, 2], [6, 6], [-3, -3]]]], [[10, 10, 9, 9, 2], [v = 2^(1/2), u = 0, 1 <
x, x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [0, 0], [2, 2], [6, 6], [-2, -2]]]], [[10, 10, 9, 9, 3], [v = 2^(1/2
), u = 0, 1 < x, x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [2, 2], [6, 6], [0,
0]]]], [[10, 10, 9, 9, 4], [v = 2^(1/2), u = 0, 1 < x, x+3 < y, z = (y-x)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [2, 2], [6, 6],
[2, 2]]]], [[10, 10, 9, 9, 5], [v = 2^(1/2), u = 0, 1 < x, x+3 < y, (y-x)^(1/2
) < z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [2, 2], [6,
6], [3, 3]]]], [[10, 15, 7, 5, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(u
^2-3 < x,x < 0), And(0 < y,y < x-u^2+3), z < -(y-x)^(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(0 < y,y < x-u^2+3), z = -(y-x)^(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(0 < y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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(0 < y,y < x-u^2+3), z = (y-x)^(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(0 < y,y < x-u^2+3), (y-x)^(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], [-650655/262144
, -2602619/1048576], [-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], [-650655/262144, -2602619/1048576], [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], [-650655/262144, -2602619/
1048576], [1, 1]]]], [[10, 19, 3, 3, 1], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,x
< -1), And(x-u^2+3 < y,y < x), z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [-9/2, -9/2], [-15/2, -15/2], [0, 0]]]], [[11, 1, 5,
2, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = x-u^2+v^2+1, z
= z], [regular_chain, [[3, 3], [-5, -5], [-1/2, -1/2], [-31/2, -31/2], [0, 0]]
]], [[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], [66399/131072, 531193/1048576], [-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], [66399/131072, 531193/1048576], [-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], [
66399/131072, 531193/1048576], [-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], [66399/131072, 531193/1048576], [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], [66399/131072, 531193/1048576], [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
< x, z = z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-\
391287/524288, -391287/524288], [-2, -2], [0, 0]]]], [[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 = x, z < 0
], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-4, -4], [-4, -\
4], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[3, 3], [1435023
/524288, 1435023/524288], [-4, -4], [-4, -4], [0, 0]]]], [[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 = x, 0
< z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-4, -4], [-4
, -4], [1, 1]]]], [[11, 14, 4, 2, 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, 2, 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, 2, 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, 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(x-u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[3, 3], [3396811/1048576,
3396811/1048576], [-915943/524288, -915943/524288], [-522727/262144, -522727/
262144], [0, 0]]]], [[11, 20, 5, 2, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-\
1 < x,x < 0), y = x-1, z = z], [regular_chain, [[3, 3], [3477733/1048576, 
1738867/524288], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[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 = 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], [517383/524288, 1034767/1048576], [-3,
-3]]]], [[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 = 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], [517383
/524288, 1034767/1048576], [-1281417/1048576, -160177/131072]]]], [[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 = 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],
[517383/524288, 1034767/1048576], [0, 0]]]], [[1, 5, 6, 6, 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], [517383/524288, 1034767/1048576], [160177/131072,
1281417/1048576]]]], [[1, 5, 6, 6, 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], [517383/524288, 1034767/1048576], [3, 3]]]], [[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-u^2+v^2+
1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-657289/524288, -657289/524288], [2, 2], [-3, -3]]]], [[1,
7, 3, 9, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x
< -1), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288], [2, 2],
[-1891417/1048576, -7565667/4194304]]]], [[1, 7, 3, 9, 3], [v < -2^(1/2), And(
v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), x-u^2+v^2+1 < y, And(-(y
-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152,
-6111549/2097152], [-657289/524288, -657289/524288], [2, 2], [-3/8388608, -3/
8388608]]]], [[1, 7, 3, 9, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 
And(u^2-v^2-1 < x,x < -1), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [regular_chain,
[[-3, -3], [-6111549/2097152, -6111549/2097152], [-657289/524288, -657289/
524288], [2, 2], [236427/131072, 1891417/1048576]]]], [[1, 7, 3, 9, 5], [v < -
2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), x-u^2+v^2+1
< y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-657289/524288, -657289/524288], [2, 2], [3, 3]]]], [[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 = z], [regular_chain, [[-3, -3], [0, 0], [0, 0], [-4, -4],
[0, 0]]]], [[1, 12, 9, 1, 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], [-1,
-1], [0, 0]]]], [[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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(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(x < y,y < u^2
-v^2+x+1), z = -(y-x)^(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(x < y,y < u^2-v^2+x+1), And(-(y
-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2-v^2+x+1), z = (y-x)^(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(x < y,y < u^2-
v^2+x+1), (y-x)^(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 = z], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1, -1], [-3, -3
], [0, 0]]]], [[2, 3, 4, 6, 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,
6, 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, 6, 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, 6, 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, 6, 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, 7,
1], [v = -2^(1/2), u = -3^(1/2), x = 1, 3 < y, z < -(y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [1, 1], [4, 4], [-3, -3]]]], [[2, 4, 8, 7, 2], [v = -2^(1/2)
, u = -3^(1/2), x = 1, 3 < y, 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, 7, 3], [v = -2^(1/2), u
= -3^(1/2), x = 1, 3 < y, 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, 7, 4
], [v = -2^(1/2), u = -3^(1/2), x = 1, 3 < y, 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, 7, 5], [v = -2^
(1/2), u = -3^(1/2), x = 1, 3 < y, (y-1)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [1, 1]
, [4, 4], [3, 3]]]], [[2, 7, 4, 1, 1], [v = -2^(1/2), And(v < u,u < -1), x = -\
1, y < -1, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [-2, -2], [0, 0]]]], [[2, 8, 8,
2, 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, 13, 1, 9,
1], [v = -2^(1/2), And(1 < u,u < -v), x < u^2-3, 0 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-3, -3], [1, 1], [-3, -3]]]], [[2, 13, 1, 9, 2], [v = -2^(1/2), And
(1 < u,u < -v), x < u^2-3, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-3, -3]
, [1, 1], [-2, -2]]]], [[2, 13, 1, 9, 3], [v = -2^(1/2), And(1 < u,u < -v), x
< u^2-3, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-3, -3]
, [1, 1], [0, 0]]]], [[2, 13, 1, 9, 4], [v = -2^(1/2), And(1 < u,u < -v), x <
u^2-3, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-3, -3], [1, 1], [2, 2]]]], [[2,
13, 1, 9, 5], [v = -2^(1/2), And(1 < u,u < -v), x < u^2-3, 0 < y, (y-x)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 
1265743/1048576], [-3, -3], [1, 1], [3, 3]]]], [[2, 14, 5, 6, 1], [v = -2^(1/2
), u = -v, And(0 < x,x < 1), y = x+1, 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, 6, 2], [v = -2^(1/2), u = -v, And(0 < x,x < 1),
y = x+1, 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, 6,
3], [v = -2^(1/2), u = -v, And(0 < x,x < 1), y = x+1, 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, 6, 4], [v = -2^(1/2),
u = -v, And(0 < x,x < 1), y = x+1, 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, 6, 5], [v = -2^(1/2), u = -v, And(0 < x,x < 1), y = x+1, 1
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 
1482911/1048576], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[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 = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [-\
15818595/2097152, -7909297/1048576], [0, 0]]]], [[3, 2, 6, 5, 1], [And(-2^(1/2
) < v,v < -1), u = -(v^2+2)^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 2], [And(-2^(
1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 0, And(0 <
y,y < 3), 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, 5, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x =
0, And(0 < y,y < 3), 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, 5, 5], [And(-2^(1/2) < v,v < -1
), u = -(v^2+2)^(1/2), x = 0, And(0 < y,y < 3), y^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [
0, 0], [3/2, 3/2], [3, 3]]]], [[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-u^2+v^2+1, z < -(
-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [
149551/524288, 299103/1048576], [-3, -3]]]], [[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-u^2
+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/
2097152], [149551/524288, 299103/1048576], [-1314069/1048576, -328517/262144]]
]], [[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-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], [-2695357/2097152, -2695357/2097152], [
149551/524288, 299103/1048576], [0, 0]]]], [[3, 7, 3, 8, 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 = x-u^2+
v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/
2097152], [149551/524288, 299103/1048576], [328517/262144, 1314069/1048576]]]]
, [[3, 7, 3, 8, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2695357/2097152, -2695357/2097152], [149551/524288, 299103
/1048576], [3, 3]]]], [[3, 8, 7, 7, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1
)^(1/2), And(0 < x,x < 1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [1/2,
1/2], [4, 4], [-3, -3]]]], [[3, 8, 7, 7, 2], [And(-2^(1/2) < v,v < -1), u = -(
v^2-1)^(1/2), And(0 < x,x < 1), x+2 < y, z = -(y-x)^(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, 7, 3], [And(-2
^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(0 < x,x < 1), x+2 < y, And(-(y-x)^
(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [1/2, 1/2], [4, 4], [0, 0]]]], [
[3, 8, 7, 7, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(0 < x,x <
1), x+2 < y, z = (y-x)^(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, 7, 5], [And(-2^(1/2) < v,v < -1), u =
-(v^2-1)^(1/2), And(0 < x,x < 1), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [1/2
, 1/2], [4, 4], [3, 3]]]], [[4, 1, 3, 5, 1], [v = -1, u < -3^(1/2), And(-u^2 <
x,x < -1), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = 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, 8, 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, 8, 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, 8, 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, 8, 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, 7, 3, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 3, 1], [v = -1, u = 0, And(0 < x,x < 1), And(0 < y,y < x), z
= z], [regular_chain, [[-1, -1], [0, 0], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[
4, 14, 7, 2, 1], [v = -1, u = 3^(1/2), And(0 < x,x < 1), y = x-1, z = z], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [1/2, 1/2], [-1/2,
-1/2], [0, 0]]]], [[4, 15, 11, 7, 1], [v = -1, 3^(1/2) < u, u^2-2 < x, And(x <
y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [8, 8], [
25/2, 25/2], [-4, -4]]]], [[4, 15, 11, 7, 2], [v = -1, 3^(1/2) < u, u^2-2 < x,
And(x < y,y < u^2+x), z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [8
, 8], [25/2, 25/2], [-1112183/524288, -2224365/1048576]]]], [[4, 15, 11, 7, 3]
, [v = -1, 3^(1/2) < u, u^2-2 < x, And(x < y,y < u^2+x), And(-(y-x)^(1/2) < z,
z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [3, 3], [8, 8], [25/2, 25/2], [0
, 0]]]], [[4, 15, 11, 7, 4], [v = -1, 3^(1/2) < u, u^2-2 < x, And(x < y,y < u^
2+x), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [8, 8], [25/2, 25/2
], [2224365/1048576, 1112183/524288]]]], [[4, 15, 11, 7, 5], [v = -1, 3^(1/2)
< u, u^2-2 < x, And(x < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[-1,
-1], [3, 3], [8, 8], [25/2, 25/2], [4, 4]]]], [[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(x-u^2+v^2
+1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [-1272471/
4194304, -1272471/4194304], [-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(x-u^2+v^2+1 < y
,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152,
-1696631/2097152], [-2521309/2097152, -2521309/2097152], [-1272471/4194304, -\
1272471/4194304], [-15906297/16777216, -1988287/2097152]]]], [[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(x-u^2+v^2+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-2521309/
2097152, -2521309/2097152], [-1272471/4194304, -1272471/4194304], [-1/4194304,
-1/4194304]]]], [[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(x-u^2+v^2+1 < y,y < 0), z = (y-x)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-\
2521309/2097152, -2521309/2097152], [-1272471/4194304, -1272471/4194304], [
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(x-u^2+v^2+1 < y,y < 0)
, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631
/2097152], [-2521309/2097152, -2521309/2097152], [-1272471/4194304, -1272471/
4194304], [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(-1 < y,y < -u^2+v^2), z
< -(y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [-1, -1], [-736367/1048576, -736367/1048576], [-2, -2]]]], [[5, 9, 4
, 3, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(-1 < y
,y < -u^2+v^2), z = -(y+1)^(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, 3, 3], [And(-1 < v,v < 0), 
And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(-1 < y,y < -u^2+v^2), And(-(y+1)^(1
/2) < z,z < (y+1)^(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, 3, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1
/2)), x = -1, And(-1 < y,y < -u^2+v^2), z = (y+1)^(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, 3, 5], [And(-1
< v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(-1 < y,y < -u^2+v^2), (
y+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [-1, -1], [-736367/1048576, -736367/1048576], [2, 2]]]], [[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 = 0, z = z], [regular_chain, [[0, 0], [-\
3, -3], [9/2, 9/2], [0, 0], [0, 0]]]], [[6, 3, 3, 2, 1], [v = 0, And(-2^(1/2)
< u,u < -1), And(-u^2-1 < x,x < -1), y = x-u^2+1, z = z], [regular_chain, [[0,
0], [-1265743/1048576, -1265743/1048576], [-1812519/1048576, -1812519/1048576]
, [-1145915/524288, -2291829/1048576], [0, 0]]]], [[6, 9, 4, 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, 4,
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, 4, 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]]]], [[6, 10, 6, 7, 1], [v = 0, u = 2^(1/2), x = 0, 3 < y, z < -y^(1/2
)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [0, 0], [4, 4],
[-3, -3]]]], [[6, 10, 6, 7, 2], [v = 0, u = 2^(1/2), x = 0, 3 < y, z = -y^(1/2
)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [0, 0], [4, 4],
[-2, -2]]]], [[6, 10, 6, 7, 3], [v = 0, u = 2^(1/2), x = 0, 3 < y, 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, 7, 4], [v = 0, u = 2^(1/2), x = 0, 3
< y, z = y^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576],
[0, 0], [4, 4], [2, 2]]]], [[6, 10, 6, 7, 5], [v = 0, u = 2^(1/2), x = 0, 3 <
y, y^(1/2) < z], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [0
, 0], [4, 4], [3, 3]]]], [[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(x < y,y < u^2-v^2+x+
1), z < -(y-x)^(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, 7, 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(x < y,y < u^2-v^2+x+1), z = -(y-x)^
(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, 7, 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(x < y,y < u^2-v^2+x+1), And
(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 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(x < y,y < u^2-v^2+
x+1), z = (y-x)^(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, 7, 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(x < y,y < u
^2-v^2+x+1), (y-x)^(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, 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(x < y,y < x-u^2+v^2+1), z < -(y-x)^
(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, 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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(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, 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(x < y,y < x-u^2+v^2+1), 
And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(x < y,y < x-u^2+v
^2+1), z = (y-x)^(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, 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(x <
y,y < x-u^2+v^2+1), (y-x)^(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, 9, 2, 1], [v = 1, u < -3^(1/2),
And(1 < x,x < u^2-2), y = x-u^2+2, z = z], [regular_chain, [[1, 1], [-3, -3],
[4, 4], [-3, -3], [0, 0]]]], [[8, 3, 2, 3, 1], [v = 1, And(-3^(1/2) < u,u < -2
^(1/2)), x = -u^2, And(-2*u^2+2 < y,y < -u^2), z = z], [regular_chain, [[1, 1]
, [-6598195/4194304, -6598195/4194304], [-2594959/1048576, -1297479/524288], [
-22750895/8388608, -22750895/8388608], [0, 0]]]], [[8, 7, 9, 1, 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], [-1, -1], [0, 0]]]], [[8, 9, 3, 9, 1], [v = 1, And(0
< u,u < 1), And(u^2-2 < x,x < -1), x-u^2+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [-11/8, -11/8], [2, 2], [-3, -3]]]], [[8,
9, 3, 9, 2], [v = 1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), x-u^2+2 < y, z =
-(y-x)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-11/8, -11/8], [2, 2], [-\
7705429/4194304, -1926357/1048576]]]], [[8, 9, 3, 9, 3], [v = 1, And(0 < u,u <
1), And(u^2-2 < x,x < -1), x-u^2+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[1, 1], [1/2, 1/2], [-11/8, -11/8], [2, 2], [0, 0]]]], [[8,
9, 3, 9, 4], [v = 1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), x-u^2+2 < y, z =
(y-x)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-11/8, -11/8], [2, 2], [
1926357/1048576, 963179/524288]]]], [[8, 9, 3, 9, 5], [v = 1, And(0 < u,u < 1)
, And(u^2-2 < x,x < -1), x-u^2+2 < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1
], [1/2, 1/2], [-11/8, -11/8], [2, 2], [3, 3]]]], [[8, 15, 4, 1, 1], [v = 1, 3
^(1/2) < u, x = -1, y < -u^2+1, z = z], [regular_chain, [[1, 1], [3, 3], [-1,
-1], [-9, -9], [0, 0]]]], [[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 < -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1/2, -1/2], [
10, 10], [-5, -5]]]], [[9, 1, 5, 9, 2], [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 = -(y-x)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3, -3], [-1/2, -1/2], [10, 10], [-\
3397775/1048576, -1698887/524288]]]], [[9, 1, 5, 9, 3], [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, And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3,
-3], [-1/2, -1/2], [10, 10], [0, 0]]]], [[9, 1, 5, 9, 4], [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 = (y-x)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1/2, -1/2], [
10, 10], [1698887/524288, 3397775/1048576]]]], [[9, 1, 5, 9, 5], [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, (y-x)^(1/2
) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1/2,
-1/2], [10, 10], [5, 5]]]], [[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 = 0, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [1/2,
1/2], [0, 0], [0, 0]]]], [[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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 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], [239655/524288, 479311/1048576], [-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], [239655/
524288, 479311/1048576], [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], [239655/524288, 479311/1048576], [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(u^2-v^2+x+1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-5390713
/4194304, -5390713/4194304], [-3589227/8388608, -3589227/8388608], [-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(u^2-v^2+x+1 < y,y < 0), z = -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-5390713/4194304, -5390713/4194304], [-3589227/8388608, -3589227/
8388608], [-7767403/8388608, -3883701/4194304]]]], [[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(u
^2-v^2+x+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-\
5390713/4194304, -5390713/4194304], [-3589227/8388608, -3589227/8388608], [-1/
8388608, -1/8388608]]]], [[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(u^2-v^2+x+1 < y,y < 0), z
= (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [-5390713/4194304, -5390713/4194304], [-3589227/
8388608, -3589227/8388608], [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(u^2-v^2+x+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-5390713/
4194304, -5390713/4194304], [-3589227/8388608, -3589227/8388608], [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 < 0, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [1, 1], [-1, -1], [0, 0]]]], [[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 = x-u^2+v^2+1, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [-5931973/524288, -\
11863945/1048576], [0, 0]]]], [[10, 5, 8, 5, 1], [v = 2^(1/2), And(-3^(1/2) <
u,u < -v), x = 0, And(-u^2+3 < y,y < u^2-1), z < -y^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [0, 0],
[1, 1], [-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 < u^2-1), z = -y^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [0, 0], [1, 1]
, [-1, -1]]]], [[10, 5, 8, 5, 3], [v = 2^(1/2), And(-3^(1/2) < 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], [-6598195/4194304, -6598195/4194304], [0, 0
], [1, 1], [0, 0]]]], [[10, 5, 8, 5, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v
), x = 0, And(-u^2+3 < y,y < u^2-1), z = y^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [0, 0], [1, 1]
, [1, 1]]]], [[10, 5, 8, 5, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 0,
And(-u^2+3 < y,y < u^2-1), y^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [0, 0], [1, 1], [2, 2]
]]], [[10, 7, 5, 2, 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], [-\
1527887/2097152, -1527887/2097152], [-1, -1]]]], [[10, 7, 5, 2, 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], [-1527887/2097152, -1527887/2097152], [0,
0]]]], [[10, 7, 5, 2, 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], [-\
1527887/2097152, -1527887/2097152], [1, 1]]]], [[10, 11, 8, 2, 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,
3, 3, 1], [v = 2^(1/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), And(x < y,y <
u^2+x-1), z < -(y-x)^(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, 3, 2], [v = 2^(1
/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), And(x < y,y < u^2+x-1), z = -(y-
x)^(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, 3, 3], [v =
2^(1/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), And(x < y,y < u^2+x-1), And(
-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4],
[v = 2^(1/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), And(x < y,y < u^2+x-1),
z = (y-x)^(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, 3,
5], [v = 2^(1/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), And(x < y,y < u^2+x
-1), (y-x)^(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, 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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [-1/2, -1/2], [522727/262144, 2090909/1048576], [-3, -3]]]],
[[11, 3, 5, 8, 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], [522727/262144, 
2090909/1048576], [-1655969/1048576, -3311937/2097152]]]], [[11, 3, 5, 8, 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], [
522727/262144, 2090909/1048576], [-1/4194304, -1/4194304]]]], [[11, 3, 5, 8, 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], [522727/262144, 2090909/1048576], [
51749/32768, 1655969/1048576]]]], [[11, 3, 5, 8, 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], [522727/262144, 2090909/1048576], [3, 3]]]], [[11, 4, 9, 7, 1],
[2^(1/2) < v, u = -(v^2+1)^(1/2), 1 < x, x+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [2, 2], [5, 5], [-3
, -3]]]], [[11, 4, 9, 7, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), 1 < x, x+2 < y,
z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536],
[2, 2], [5, 5], [-1816187/1048576, -3632373/2097152]]]], [[11, 4, 9, 7, 3], [2
^(1/2) < v, u = -(v^2+1)^(1/2), 1 < x, x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [2, 2],
[5, 5], [-1/4194304, -1/4194304]]]], [[11, 4, 9, 7, 4], [2^(1/2) < v, u = -(v^
2+1)^(1/2), 1 < x, x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-\
3315889/1048576, -207243/65536], [2, 2], [5, 5], [908093/524288, 1816187/
1048576]]]], [[11, 4, 9, 7, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2), 1 < x, x+2 <
y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536
], [2, 2], [5, 5], [3, 3]]]], [[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(x < y,y < x-u^2+v^
2+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [533035/2097152, 533035/2097152], [3163223/2097152, 3163223
/2097152], [-3, -3]]]], [[11, 9, 7, 7, 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(x < y,y < x-u^2+v^2+1),
z = -(y-x)^(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, 7, 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(x < y,y
< x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3
], [-22960369/8388608, -22960369/8388608], [533035/2097152, 533035/2097152], [
3163223/2097152, 3163223/2097152], [0, 0]]]], [[11, 9, 7, 7, 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(x <
y,y < x-u^2+v^2+1), z = (y-x)^(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, 7,
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(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[3,
3], [-22960369/8388608, -22960369/8388608], [533035/2097152, 533035/2097152],
[3163223/2097152, 3163223/2097152], [3, 3]]]], [[11, 10, 9, 8, 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
, 8, 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, 8, 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, 8, 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, 8,
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, 16, 7, 5, 1], [2^(1/2) < v, u = v, 1 < x, And(x < y,y < x+1),
z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [3, 3], [2, 2], [5/2, 5/2], [-2, -\
2]]]], [[11, 16, 7, 5, 2], [2^(1/2) < v, u = v, 1 < x, And(x < y,y < x+1), z =
-(y-x)^(1/2)], [regular_chain, [[3, 3], [3, 3], [2, 2], [5/2, 5/2], [-1482911/
2097152, -741455/1048576]]]], [[11, 16, 7, 5, 3], [2^(1/2) < v, u = v, 1 < x,
And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
3, 3], [3, 3], [2, 2], [5/2, 5/2], [0, 0]]]], [[11, 16, 7, 5, 4], [2^(1/2) < v
, u = v, 1 < x, And(x < y,y < x+1), z = (y-x)^(1/2)], [regular_chain, [[3, 3],
[3, 3], [2, 2], [5/2, 5/2], [741455/1048576, 46341/65536]]]], [[11, 16, 7, 5,
5], [2^(1/2) < v, u = v, 1 < x, And(x < y,y < x+1), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [3, 3], [2, 2], [5/2, 5/2], [2, 2]]]], [[11, 18, 3, 3,
1], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z <
-(y-x)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3/2
, -3/2], [-3/4, -3/4], [-2, -2]]]], [[11, 18, 3, 3, 2], [2^(1/2) < v, u = (v^2
+1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [2^(1/2) <
v, u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), And(-(y-x)^(1/2) <
z,z < (y-x)^(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, 3, 4], [
2^(1/2) < v, u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z = (y-x
)^(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, 3, 5], [2^(
1/2) < v, u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), (y-x)^(1/2)
< z], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3/2, -3/2],
[-3/4, -3/4], [2, 2]]]], [[1, 2, 2, 7, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2),
x = -3, 0 < y, z < -(y+3)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288,
-3477733/1048576], [-3, -3], [1, 1], [-3, -3]]]], [[1, 2, 2, 7, 2], [v < -2^(1
/2), u = -(v^2+2)^(1/2), x = -3, 0 < y, z = -(y+3)^(1/2)], [regular_chain, [[-\
3, -3], [-1738867/524288, -3477733/1048576], [-3, -3], [1, 1], [-2, -2]]]], [[
1, 2, 2, 7, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -3, 0 < y, And(-(y+3)^(
1/2) < z,z < (y+3)^(1/2))], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [-3, -3], [1, 1], [0, 0]]]], [[1, 2, 2, 7, 4], [v < -2^(1/2)
, u = -(v^2+2)^(1/2), x = -3, 0 < y, z = (y+3)^(1/2)], [regular_chain, [[-3, -\
3], [-1738867/524288, -3477733/1048576], [-3, -3], [1, 1], [2, 2]]]], [[1, 2,
2, 7, 5], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -3, 0 < y, (y+3)^(1/2) < z],
[regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-3, -3], [1,
1], [3, 3]]]], [[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(0 < y,y < x-u^2+v^2+1), z = z], [regular_chain, [[-3
, -3], [-3396811/1048576, -3396811/1048576], [2, 2], [1579107/2097152, 1579107
/2097152], [0, 0]]]], [[1, 7, 11, 6, 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], [2613723/1048576, 653431/
262144], [-2, -2]]]], [[1, 7, 11, 6, 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], [2613723/1048576, 653431/
262144], [-735979/1048576, -1471957/2097152]]]], [[1, 7, 11, 6, 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], [2613723/1048576, 653431/262144], [-1/4194304, -1
/4194304]]]], [[1, 7, 11, 6, 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], [2613723/1048576, 653431/262144],
[367989/524288, 735979/1048576]]]], [[1, 7, 11, 6, 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], [
2613723/1048576, 653431/262144], [2, 2]]]], [[1, 9, 10, 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+2 < y, z < -(y-1)^
(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [1,
1], [5, 5], [-3, -3]]]], [[1, 9, 10, 9, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2)
< u,u < -(v^2-2)^(1/2)), x = 1, -u^2+v^2+2 < y, z = -(y-1)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [1, 1], [5,
5], [-2, -2]]]], [[1, 9, 10, 9, 3], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u <
-(v^2-2)^(1/2)), x = 1, -u^2+v^2+2 < y, 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, 9, 4], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u <
-(v^2-2)^(1/2)), x = 1, -u^2+v^2+2 < y, z = (y-1)^(1/2)], [regular_chain, [[-3
, -3], [-22960369/8388608, -22960369/8388608], [1, 1], [5, 5], [2, 2]]]], [[1,
9, 10, 9, 5], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1
, -u^2+v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [1, 1], [5, 5], [3, 3]]]], [[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 < x,
z = z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-\
391287/524288, -391287/524288], [-2, -2], [0, 0]]]], [[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), u^2-v^2+x+1
< y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-1579769/2097152, -1579769/2097152], [2, 2], [-3, -3]]]], [[1, 17, 5
, 9, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-\
1), u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [2, 2], [-\
3479815/2097152, -1739907/1048576]]]], [[1, 17, 5, 9, 3], [v < -2^(1/2), And(-
v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), u^2-v^2+x+1 < y, And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [-1579769/2097152, -1579769/2097152], [2, 2], [0, 0]]]], [[1,
17, 5, 9, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2
-v^2-1), u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [403851
/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [2, 2], [
1739907/1048576, 434977/262144]]]], [[1, 17, 5, 9, 5], [v < -2^(1/2), And(-v <
u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), u^2-v^2+x+1 < y, (y-x)^(1/2)
< z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1579769/
2097152, -1579769/2097152], [2, 2], [3, 3]]]], [[1, 21, 2, 7, 1], [v < -2^(1/2
), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, 0 < y, z < -(u^2-v^2+y+1)^(1/2)], [
regular_chain, [[-3, -3], [5, 5], [-17, -17], [1, 1], [-6, -6]]]], [[1, 21, 2,
7, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, 0 < y, 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, 7, 3], [v < -2^(1/2), (v^2+2)^(1/2)
< u, x = -u^2+v^2-1, 0 < y, 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, 7, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, 0 < y, 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, 7, 5], [v < -2^(1/2), (v^2+2)
^(1/2) < u, x = -u^2+v^2-1, 0 < y, (u^2-v^2+y+1)^(1/2) < z], [regular_chain, [
[-3, -3], [5, 5], [-17, -17], [1, 1], [6, 6]]]], [[2, 1, 9, 1, 1], [v = -2^(1/
2), u < -2, And(1 < x,x < u^2-3), y < x-u^2+3, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [7/2, 7/2], [-4, -4], [0, 0]]]], [
[2, 10, 3, 9, 1], [v = -2^(1/2), u = 0, And(-3 < x,x < -1), x+3 < y, z < -(y-x
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-2, -2
], [2, 2], [-3, -3]]]], [[2, 10, 3, 9, 2], [v = -2^(1/2), u = 0, And(-3 < x,x
< -1), x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [0, 0], [-2, -2], [2, 2], [-2, -2]]]], [[2, 10, 3, 9, 3], [v = -2^(1
/2), u = 0, And(-3 < x,x < -1), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-2, -2], [2,
2], [0, 0]]]], [[2, 10, 3, 9, 4], [v = -2^(1/2), u = 0, And(-3 < x,x < -1), x+
3 < y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[0, 0], [-2, -2], [2, 2], [2, 2]]]], [[2, 10, 3, 9, 5], [v = -2^(1/2), u = 0,
And(-3 < x,x < -1), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [0, 0], [-2, -2], [2, 2], [3, 3]]]], [[2, 12, 1, 3,
1], [v = -2^(1/2), u = 1, x < -2, And(x < y,y < x+2), z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3, -3], [-2, -2]
, [-2, -2]]]], [[2, 12, 1, 3, 2], [v = -2^(1/2), u = 1, x < -2, And(x < y,y <
x+2), z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[1, 1], [-3, -3], [-2, -2], [-1, -1]]]], [[2, 12, 1, 3, 3], [v = -2^(1/2), u =
1, x < -2, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3, -3], [-2, -2]
, [0, 0]]]], [[2, 12, 1, 3, 4], [v = -2^(1/2), u = 1, x < -2, And(x < y,y < x+
2), z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1,
1], [-3, -3], [-2, -2], [1, 1]]]], [[2, 12, 1, 3, 5], [v = -2^(1/2), u = 1, x
< -2, And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576
, -741455/524288], [1, 1], [-3, -3], [-2, -2], [2, 2]]]], [[2, 16, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 17, 11, 9, 1], [v
= -2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, u^2+x-1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [2, 2], [6, 6], [-3, -3]]]], [[2, 17, 11, 9, 2], [v = -2^(1/2), And(
3^(1/2) < u,u < 2), 1 < x, u^2+x-1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [2, 2],
[6, 6], [-2, -2]]]], [[2, 17, 11, 9, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2)
, 1 < x, u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [2, 2
], [6, 6], [0, 0]]]], [[2, 17, 11, 9, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2
), 1 < x, u^2+x-1 < y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3913339/2097152, 3913339/2097152], [2, 2], [6, 6], [2, 2]]]],
[[2, 17, 11, 9, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, u^2+x-1 < y,
(y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [2, 2], [6, 6], [3, 3]]]], [[3, 4, 2, 3, 1]
, [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -2, And(-2 < y,y < 0), z
< -(y+2)^(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(-2 < y,y < 0
), z = -(y+2)^(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(-2 < y,y < 0
), And(-(y+2)^(1/2) < z,z < (y+2)^(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(-2 < y,y < 0), z = (y+2)^(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(-2 < y,y < 0), (y+2)^(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 = x+1, 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 = x+1, 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 = x+1, 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 = x+1,
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 = x+1, 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, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-3, -3], [1, 1],
[-3, -3]]]], [[3, 10, 1, 7, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2),
x < -2, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [354469/524288, 708939/1048576], [-3, -3], [1, 1], [-2, -2]]]], [[3
, 10, 1, 7, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x < -2, 0 < y, 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [354469/524288, 708939/1048576], [-3, -3], [1, 1], [0, 0]]]]
, [[3, 10, 1, 7, 4], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x < -2, 0 <
y, z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
354469/524288, 708939/1048576], [-3, -3], [1, 1], [2, 2]]]], [[3, 10, 1, 7, 5]
, [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x < -2, 0 < y, (y-x)^(1/2) < z
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 
708939/1048576], [-3, -3], [1, 1], [3, 3]]]], [[3, 12, 1, 1, 1], [And(-2^(1/2)
< v,v < -1), u = -v, x < -1, y < x, z = z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [-3, -3], [
0, 0]]]], [[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 = 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
, 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 = 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, 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 = 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, 6, 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, 6, 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, 9, 1], [And(-2^(1/2
) < v,v < -1), u = (v^2+2)^(1/2), 1 < x, x+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [2, 2], [6, 6], [-3, -3]]]], [[3, 16, 9, 9, 2], [And(-2^(1/2) < v,v
< -1), u = (v^2+2)^(1/2), 1 < x, x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [2, 2],
[6, 6], [-2, -2]]]], [[3, 16, 9, 9, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)
^(1/2), 1 < x, x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [2,
2], [6, 6], [0, 0]]]], [[3, 16, 9, 9, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+
2)^(1/2), 1 < x, x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [121853/65536, 1949649/1048576], [2, 2], [6, 6], [2, 2]]]
], [[3, 16, 9, 9, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), 1 < x, x+3
< y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[121853/65536, 1949649/1048576], [2, 2], [6, 6], [3, 3]]]], [[4, 3, 4, 9, 1],
[v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, u^2-1 < y, z < -(y+1)^(1/2)],
[regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1, -1], [3,
3], [-3, -3]]]], [[4, 3, 4, 9, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x
= -1, u^2-1 < y, z = -(y+1)^(1/2)], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [-1, -1], [3, 3], [-2, -2]]]], [[4, 3, 4, 9, 3], [
v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, u^2-1 < y, And(-(y+1)^(1/2) <
z,z < (y+1)^(1/2))], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [-1, -1], [3, 3], [0, 0]]]], [[4, 3, 4, 9, 4], [v = -1, And(-3^(1/2)
< u,u < -2^(1/2)), x = -1, u^2-1 < y, z = (y+1)^(1/2)], [regular_chain, [[-1,
-1], [-6598195/4194304, -6598195/4194304], [-1, -1], [3, 3], [2, 2]]]], [[4, 3
, 4, 9, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, u^2-1 < y, (y+1)^
(1/2) < z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [
-1, -1], [3, 3], [3, 3]]]], [[4, 5, 4, 3, 1], [v = -1, And(-2^(1/2) < u,u < -1
), x = -1, And(-1 < y,y < -u^2+1), z < -(y+1)^(1/2)], [regular_chain, [[-1, -1
], [-1265743/1048576, -1265743/1048576], [-1, -1], [-1527887/2097152, -1527887
/2097152], [-2, -2]]]], [[4, 5, 4, 3, 2], [v = -1, And(-2^(1/2) < u,u < -1), x
= -1, And(-1 < y,y < -u^2+1), z = -(y+1)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [-1527887/2097152, -1527887/
2097152], [-273157/524288, -1092627/2097152]]]], [[4, 5, 4, 3, 3], [v = -1, 
And(-2^(1/2) < u,u < -1), x = -1, And(-1 < y,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], [-1527887/2097152, -1527887/2097152], [-1/4194304, -1/
4194304]]]], [[4, 5, 4, 3, 4], [v = -1, And(-2^(1/2) < u,u < -1), x = -1, And(
-1 < y,y < -u^2+1), z = (y+1)^(1/2)], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [-1, -1], [-1527887/2097152, -1527887/2097152], [
546313/1048576, 273157/524288]]]], [[4, 5, 4, 3, 5], [v = -1, And(-2^(1/2) < u
,u < -1), x = -1, And(-1 < y,y < -u^2+1), (y+1)^(1/2) < z], [regular_chain, [[
-1, -1], [-1265743/1048576, -1265743/1048576], [-1, -1], [-1527887/2097152, -\
1527887/2097152], [2, 2]]]], [[4, 11, 5, 3, 1], [v = -1, And(1 < u,u < 2^(1/2)
), And(-1 < x,x < u^2-2), And(x < y,y < x-u^2+2), z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3235683/
4194304, -3235683/4194304], [-4194307/8388608, -4194307/8388608], [-2, -2]]]],
[[4, 11, 5, 3, 2], [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), And
(x < y,y < x-u^2+2), z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304], [-4194307/
8388608, -4194307/8388608], [-273157/524288, -1092627/2097152]]]], [[4, 11, 5,
3, 3], [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), And(x < y,y < x
-u^2+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304], [-\
4194307/8388608, -4194307/8388608], [-1/4194304, -1/4194304]]]], [[4, 11, 5, 3
, 4], [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), And(x < y,y < x-
u^2+2), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743
/1048576], [-3235683/4194304, -3235683/4194304], [-4194307/8388608, -4194307/
8388608], [546313/1048576, 273157/524288]]]], [[4, 11, 5, 3, 5], [v = -1, And(
1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), And(x < y,y < x-u^2+2), (y-x)^(1/2)
< z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3235683
/4194304, -3235683/4194304], [-4194307/8388608, -4194307/8388608], [2, 2]]]],
[[4, 13, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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, 8, 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, 8, 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, 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 < -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1/2, -1/2],
[3, 3], [-3, -3]]]], [[5, 3, 5, 9, 2], [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 = -(y-x)^(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, 9, 3], [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, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1
/2], [-343151/262144, -343151/262144], [-1/2, -1/2], [3, 3], [0, 0]]]], [[5, 3
, 5, 9, 4], [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 = (y-x)^(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, 9, 5], [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, (y-x)^(1/2) < z],
[regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1/2, -1/2],
[3, 3], [3, 3]]]], [[5, 12, 4, 2, 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, 5, 1], [v = 0, u < -2^(1/2), x < -u^2-1, And(x <
y,y < u^2+x+1), z < -(y-x)^(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(x < y,y < u^2+x+1), z = -(y-x)^(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(x < y,y < u^2+x+1), And(-(y-x)^(1/2) <
z,z < (y-x)^(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(x < y,y < u
^2+x+1), z = (y-x)^(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(x < y,y < u^2+x+1), (y-x)^(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 < 0, z = z], [regular_chain, [[0, 0], [-1, -1], [1/2, 1
/2], [-1, -1], [0, 0]]]], [[6, 6, 6, 2, 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, 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 = z], [regular_chain, [[1/2, 1/2], [-3, -3], [-39/4, -39/4
], [-109/8, -109/8], [0, 0]]]], [[7, 2, 8, 6, 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, 6, 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, 6,
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, 6, 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, 6, 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, 6, 7, 2, 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, 3, 1], [And(0 < v,v < 1), And(v < u,u <
(v^2+1)^(1/2)), x < -u^2+v^2-1, And(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)],
[regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [-\
2833519/1048576, -2833519/1048576], [-2, -2]]]], [[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(x < y,y < x-u^2+v^2+
1), z = -(y-x)^(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, 3, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1
)^(1/2)), x < -u^2+v^2-1, And(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z <
(y-x)^(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, 3, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^
2-1, And(x < y,y < x-u^2+v^2+1), z = (y-x)^(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, 3, 5], [And(0 < v,v <
1), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(x < y,y < x-u^2+v^2+1),
(y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [-3, -3], [-2833519/1048576, -2833519/1048576], [2, 2]]]], [[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-u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[1/2,
1/2], [343151/262144, 343151/262144], [1534619/2097152, 1534619/2097152], [
1048577/2097152, 1048577/2097152], [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 = z], [regular_chain, [[1/2,
1/2], [3, 3], [0, 0], [-31/4, -31/4], [0, 0]]]], [[8, 3, 10, 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, 10,
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, 10, 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, 5, 9, 5, 1], [v = 1, And(-2^(1/2) < u,u < -1), 
And(0 < x,x < 1), And(x < y,y < x-u^2+2), z < -(y-x)^(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(x < y,y < x-u^2+2), z = -(y-x)^(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(x < y,y <
x-u^2+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < x-u^2+2), z = (y-x)^(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(x < y,y < x-
u^2+2), (y-x)^(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 = 0, z = z], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [2, 2], [0, 0], [0
, 0]]]], [[8, 13, 10, 1, 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]
, [-1, -1], [0, 0]]]], [[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-1 < y,y < x), z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-2,
-2], [-5/2, -5/2], [0, 0]]]], [[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 = 0, z = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [
2, 2], [0, 0], [0, 0]]]], [[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 < x, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-2587387/2097152, -2587387/2097152], [-3, -3], [0, 0]]]], [[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(u^2-v^2+x+1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-4, -4],
[-3190373/4194304, -3190373/4194304], [-3, -3]]]], [[9, 15, 1, 7, 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 < 0), z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [898327/524288, 898327/524288], [-4, -4], [-3190373/4194304,
-3190373/4194304], [-7548997/4194304, -1887249/1048576]]]], [[9, 15, 1, 7, 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 < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-4, -4], [-3190373/4194304, -3190373/4194304], [0, 0]]]], [[9, 15, 1
, 7, 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 < 0), z = (y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-4, -4], [
-3190373/4194304, -3190373/4194304], [1887249/1048576, 943625/524288]]]], [[9,
15, 1, 7, 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 < 0), (y-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-4, -4], [-3190373/4194304, -3190373/4194304], [3, 3]]]], [[10, 1, 5
, 9, 1], [v = 2^(1/2), u < -2, And(-1 < x,x < 0), u^2+x-1 < y, z < -(y-x)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1/2, -1/2],
[9, 9], [-5, -5]]]], [[10, 1, 5, 9, 2], [v = 2^(1/2), u < -2, And(-1 < x,x < 0
), u^2+x-1 < y, z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [-1/2, -1/2], [9, 9], [-3231929/1048576, -403991/131072]]]
], [[10, 1, 5, 9, 3], [v = 2^(1/2), u < -2, And(-1 < x,x < 0), u^2+x-1 < y, 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [-1/2, -1/2], [9, 9], [0, 0]]]], [[10, 1, 5, 9, 4]
, [v = 2^(1/2), u < -2, And(-1 < x,x < 0), u^2+x-1 < y, z = (y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1/2, -1/2], [9,
9], [403991/131072, 3231929/1048576]]]], [[10, 1, 5, 9, 5], [v = 2^(1/2), u <
-2, And(-1 < x,x < 0), u^2+x-1 < y, (y-x)^(1/2) < z], [regular_chain, [[741455
/524288, 1482911/1048576], [-3, -3], [-1/2, -1/2], [9, 9], [5, 5]]]], [[10, 3,
3, 1, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), y <
x-u^2+3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [-3651195/2097152, -3651195/2097152], [-4, -4], [0
, 0]]]], [[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-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, 9, 1, 1], [v
= 2^(1/2), u = 0, 1 < x, y < 0, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [2, 2], [-1, -1], [0, 0]]]], [[10, 14, 7, 6, 1], [v
= 2^(1/2), u = v, 1 < x, y = x+1, z < -1], [regular_chain, [[741455/524288, 
1482911/1048576], [741455/524288, 1482911/1048576], [2, 2], [3, 3], [-2, -2]]]
], [[10, 14, 7, 6, 2], [v = 2^(1/2), u = v, 1 < x, y = x+1, z = -1], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [2, 2], [3, 3], [-1, -1]]]], [[10, 14, 7, 6, 3], [v = 2^(1/2), u = v
, 1 < x, y = x+1, And(-1 < z,z < 1)], [regular_chain, [[741455/524288, 1482911
/1048576], [741455/524288, 1482911/1048576], [2, 2], [3, 3], [0, 0]]]], [[10,
14, 7, 6, 4], [v = 2^(1/2), u = v, 1 < x, y = x+1, z = 1], [regular_chain, [[
741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [2, 2], [3,
3], [1, 1]]]], [[10, 14, 7, 6, 5], [v = 2^(1/2), u = v, 1 < x, y = x+1, 1 < z]
, [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [2, 2], [3, 3], [2, 2]]]], [[10, 16, 8, 3, 1], [v = 2^(1/2), u = 3^(
1/2), x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [908093/524288, 1816187/1048576], [1, 1], [1/2, 1/2], [0, 0]
]]], [[10, 19, 5, 9, 1], [v = 2^(1/2), 2 < u, And(-1 < x,x < 0), u^2+x-1 < y,
z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3],
[-1/2, -1/2], [9, 9], [-5, -5]]]], [[10, 19, 5, 9, 2], [v = 2^(1/2), 2 < u, 
And(-1 < x,x < 0), u^2+x-1 < y, z = -(y-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [-1/2, -1/2], [9, 9], [-3231929/1048576, -\
403991/131072]]]], [[10, 19, 5, 9, 3], [v = 2^(1/2), 2 < u, And(-1 < x,x < 0),
u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [-1/2, -1/2], [9, 9], [0, 0]]]], [[10, 19, 5
, 9, 4], [v = 2^(1/2), 2 < u, And(-1 < x,x < 0), u^2+x-1 < y, z = (y-x)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1/2, -1/2], [9,
9], [403991/131072, 3231929/1048576]]]], [[10, 19, 5, 9, 5], [v = 2^(1/2), 2 <
u, And(-1 < x,x < 0), u^2+x-1 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [-1/2, -1/2], [9, 9], [5, 5]]]], [[11, 1, 11
, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 9, 5, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u
< -v), And(0 < x,x < 1), And(x < y,y < x-u^2+v^2+1), z < -(y-x)^(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(x < y,y < x-u^2+v^2+1), z = -(y-
x)^(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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < x-u^2+
v^2+1), z = (y-x)^(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(x < y,y < x-u^2+v^2+1), (y-x)^(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), x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [4,
4], [-3, -3]]]], [[11, 7, 9, 9, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2
)), And(0 < x,x < 1), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[3,
3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [4, 4], [-7846825/
4194304, -980853/524288]]]], [[11, 7, 9, 9, 3], [2^(1/2) < v, And(-v < u,u < -
(v^2-1)^(1/2)), And(0 < x,x < 1), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y
-x)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1
/2, 1/2], [4, 4], [0, 0]]]], [[11, 7, 9, 9, 4], [2^(1/2) < v, And(-v < u,u < -
(v^2-1)^(1/2)), And(0 < x,x < 1), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [4,
4], [980853/524288, 1961707/1048576]]]], [[11, 7, 9, 9, 5], [2^(1/2) < v, And(
-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), x-u^2+v^2+1 < y, (y-x)^(1/2) < z
], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2],
[4, 4], [3, 3]]]], [[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 < -1), z = z], [regular_chain, [[3,
3], [1435023/524288, 1435023/524288], [-1, -1], [-657547/524288, -657547/
524288], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-657289/524288, -657289/524288], [-657289/
524288, -657289/524288], [-1, -1]]]], [[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 = x, z = 0], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-657289/524288, -\
657289/524288], [-657289/524288, -657289/524288], [0, 0]]]], [[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 =
x, 0 < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-\
657289/524288, -657289/524288], [-657289/524288, -657289/524288], [1, 1]]]], [
[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 = z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [-1, -1], [-1566621/1048576, -391655/262144], [0, 0]]]], [[11, 21, 1
, 1, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y < x-u^2+v^2+1, z =
z], [regular_chain, [[3, 3], [5, 5], [-18, -18], [-34, -34], [0, 0]]]], [[1, 5
, 1, 9, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, 0 <
y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [-3, -3], [1, 1], [-3, -3]]]], [[1, 5, 1, 9, 2], [v < -2^(1/2), And(-
(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-3, -3], [1, 1],
[-2, -2]]]], [[1, 5, 1, 9, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x
< -u^2+v^2-1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [
[-3, -3], [-403851/131072, -403851/131072], [-3, -3], [1, 1], [0, 0]]]], [[1,
5, 1, 9, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, 0 <
y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [-3, -3], [1, 1], [2, 2]]]], [[1, 5, 1, 9, 5], [v < -2^(1/2), And(-(v
^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-3, -3], [1, 1],
[3, 3]]]], [[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 < x, z = z], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-657289/524288, -657289/524288], [-3, -3], [0, 0]
]]], [[1, 10, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 12, 5, 9, 1], [v < -2^(1/2), u = (v
^2-2)^(1/2), And(-1 < x,x < 0), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[
-3, -3], [2774271/1048576, 10837/4096], [-1/2, -1/2], [4, 4], [-4, -4]]]], [[1
, 12, 5, 9, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-1 < x,x < 0), x+3 < y,
z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [
-1/2, -1/2], [4, 4], [-1112183/524288, -2224365/1048576]]]], [[1, 12, 5, 9, 3]
, [v < -2^(1/2), u = (v^2-2)^(1/2), And(-1 < x,x < 0), x+3 < y, And(-(y-x)^(1/
2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [2774271/1048576, 10837/
4096], [-1/2, -1/2], [4, 4], [0, 0]]]], [[1, 12, 5, 9, 4], [v < -2^(1/2), u =
(v^2-2)^(1/2), And(-1 < x,x < 0), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [
[-3, -3], [2774271/1048576, 10837/4096], [-1/2, -1/2], [4, 4], [2224365/
1048576, 1112183/524288]]]], [[1, 12, 5, 9, 5], [v < -2^(1/2), u = (v^2-2)^(1/
2), And(-1 < x,x < 0), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [-1/2, -1/2], [4, 4], [4, 4]]]], [[1, 18, 4, 5,
1], [v < -2^(1/2), u = (v^2+1)^(1/2), x = -1, And(0 < y,y < 1), z < -(y+1)^(1/
2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1, -1], [1/
2, 1/2], [-3, -3]]]], [[1, 18, 4, 5, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), x =
-1, And(0 < y,y < 1), z = -(y+1)^(1/2)], [regular_chain, [[-3, -3], [207243/
65536, 3315889/1048576], [-1, -1], [1/2, 1/2], [-1284239/1048576, -642119/
524288]]]], [[1, 18, 4, 5, 3], [v < -2^(1/2), u = (v^2+1)^(1/2), x = -1, And(0
< y,y < 1), And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(
1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1, -1], [
1/2, 1/2], [642119/524288, 1284239/1048576]]]], [[1, 18, 4, 5, 5], [v < -2^(1/
2), u = (v^2+1)^(1/2), x = -1, And(0 < y,y < 1), (y+1)^(1/2) < z], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1, -1], [1/2, 1/2
], [3, 3]]]], [[1, 20, 3, 2, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-3 < x,
x < -1), y = x-1, z = z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867
/524288], [-2, -2], [-3, -3], [0, 0]]]], [[2, 2, 6, 7, 1], [v = -2^(1/2), u =
-2, x = 0, 3 < y, z < -y^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-2, -2], [0, 0], [4, 4], [-3, -3]]]], [[2, 2, 6, 7, 2], [v = -2^(1/2
), u = -2, x = 0, 3 < y, z = -y^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-2, -2], [0, 0], [4, 4], [-2, -2]]]], [[2, 2, 6, 7, 3], [v =
-2^(1/2), u = -2, x = 0, 3 < y, 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, 7, 4], [v = -2^(1/2), u = -2, x = 0, 3 < y, z = y^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [0, 0], [4, 4],
[2, 2]]]], [[2, 2, 6, 7, 5], [v = -2^(1/2), u = -2, x = 0, 3 < y, y^(1/2) < z]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [0, 0], [4, 4
], [3, 3]]]], [[2, 4, 5, 2, 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, 2, 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, 2, 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, 7, 1], [v = -2^(1/2), And(v < u,u
< -1), x = -u^2+1, -2*u^2+4 < y, 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, 7, 2], [v = -
2^(1/2), And(v < u,u < -1), x = -u^2+1, -2*u^2+4 < y, 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, 7, 3], [v = -2^(1/2), And(v < u,u < -1), x
= -u^2+1, -2*u^2+4 < y, 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, 7, 4], [v = -2^(1/2), And(v < u,u < -1), x = -u^2+1, -\
2*u^2+4 < y, 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, 7, 5], [v = -2
^(1/2), And(v < u,u < -1), x = -u^2+1, -2*u^2+4 < y, (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
, 6, 1, 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], [-2,
-2], [0, 0]]]], [[2, 13, 3, 1, 1], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3
< x,x < -1), y < x, z = z], [regular_chain, [[-1482911/1048576, -741455/524288
], [1265743/1048576, 1265743/1048576], [-2666417/2097152, -2666417/2097152], [
-3, -3], [0, 0]]]], [[2, 15, 3, 9, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)),
And(-u^2+1 < x,x < -1), u^2+x-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-\
2594957/2097152, -2594957/2097152], [2, 2], [-3, -3]]]], [[2, 15, 3, 9, 2], [v
= -2^(1/2), And(-v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), u^2+x-1 < y, z =
-(y-x)^(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, 9, 3], [v = -2^(1/2), And(-
v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), u^2+x-1 < y, And(-(y-x)^(1/2) < z,
z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/2097152], [2, 2
], [0, 0]]]], [[2, 15, 3, 9, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-
u^2+1 < x,x < -1), u^2+x-1 < y, z = (y-x)^(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, 9, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1),
u^2+x-1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/
2097152], [2, 2], [3, 3]]]], [[3, 1, 7, 1, 1], [And(-2^(1/2) < v,v < -1), u <
-(v^2+2)^(1/2), And(0 < x,x < 1), y < x-u^2+v^2+1, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [1/2, 1/2], [-8, -8], [0, 0]]]],
[[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 = -1, z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [-1, -1],
[-1, -1]]]], [[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 = -1, z = 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1],
[-1, -1], [0, 0]]]], [[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 = -1, 0 < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-\
1, -1], [-1, -1], [1, 1]]]], [[3, 7, 4, 7, 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 < -(y+1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1, -1], [598205/2097152, 598205/2097152], [-3, -3]]]], [[3
, 7, 4, 7, 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 = -(y+1)^(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, 7, 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(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1, -1], [598205/2097152, 598205/2097152], [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(0 < y,y < -u^2+v^2), z = (y+1)^(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, 7, 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), (y+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [598205/2097152, 
598205/2097152], [3, 3]]]], [[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 = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [-3, -\
3], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [3, 3], [7909297/2097152, 7909297/2097152], [494331/131072,
3954649/1048576], [-1, -1]]]], [[3, 17, 9, 6, 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]
, [494331/131072, 3954649/1048576], [0, 0]]]], [[3, 17, 9, 6, 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], [494331/131072, 3954649/1048576], [1, 1]]]], [[4, 2, 4, 9,
1], [v = -1, u = -3^(1/2), x = -1, 2 < y, z < -(y+1)^(1/2)], [regular_chain, [
[-1, -1], [-1816187/1048576, -3632373/2097152], [-1, -1], [3, 3], [-3, -3]]]],
[[4, 2, 4, 9, 2], [v = -1, u = -3^(1/2), x = -1, 2 < y, z = -(y+1)^(1/2)], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-1, -1], [3,
3], [-2, -2]]]], [[4, 2, 4, 9, 3], [v = -1, u = -3^(1/2), x = -1, 2 < y, And(-
(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1, -1], [-1816187/
1048576, -3632373/2097152], [-1, -1], [3, 3], [0, 0]]]], [[4, 2, 4, 9, 4], [v
= -1, u = -3^(1/2), x = -1, 2 < y, z = (y+1)^(1/2)], [regular_chain, [[-1, -1]
, [-1816187/1048576, -3632373/2097152], [-1, -1], [3, 3], [2, 2]]]], [[4, 2, 4
, 9, 5], [v = -1, u = -3^(1/2), x = -1, 2 < y, (y+1)^(1/2) < z], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-1, -1], [3,
3], [3, 3]]]], [[4, 6, 2, 2, 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
, 2, 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, 2, 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, 5, 1], [v = -1, u = 0, And(-2 < x,x < -1), And(0 < y,y <
x+2), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-3/2, -3/2], [1/4
, 1/4], [-3, -3]]]], [[4, 8, 3, 5, 2], [v = -1, u = 0, And(-2 < x,x < -1), And
(0 < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-3/2,
-3/2], [1/4, 1/4], [-10837/8192, -1387135/1048576]]]], [[4, 8, 3, 5, 3], [v =
-1, u = 0, And(-2 < x,x < -1), And(0 < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y
-x)^(1/2))], [regular_chain, [[-1, -1], [0, 0], [-3/2, -3/2], [1/4, 1/4], [0,
0]]]], [[4, 8, 3, 5, 4], [v = -1, u = 0, And(-2 < x,x < -1), And(0 < y,y < x+2
), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-3/2, -3/2], [1/4, 1/
4], [1387135/1048576, 10837/8192]]]], [[4, 8, 3, 5, 5], [v = -1, u = 0, And(-2
< x,x < -1), And(0 < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[-1, -1],
[0, 0], [-3/2, -3/2], [1/4, 1/4], [3, 3]]]], [[4, 14, 2, 3, 1], [v = -1, u = 3
^(1/2), x = -3, And(-4 < y,y < -3), z = z], [regular_chain, [[-1, -1], [908093
/524288, 1816187/1048576], [-3, -3], [-7/2, -7/2], [0, 0]]]], [[4, 15, 10, 6,
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, 6, 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, 6, 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, 6, 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, 6, 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, 4,
5, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -1, And(0 < y,y < 1), z < -
(y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576
], [-1, -1], [1/2, 1/2], [-3, -3]]]], [[5, 4, 4, 5, 2], [And(-1 < v,v < 0), u
= -(v^2+1)^(1/2), x = -1, And(0 < y,y < 1), z = -(y+1)^(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, 5, 3], [And(-1 < v,v < 0), u =
-(v^2+1)^(1/2), x = -1, And(0 < 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
], [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 = (y+1)^(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, 5, 5], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2),
x = -1, And(0 < y,y < 1), (y+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [-1, -1], [1/2, 1/2], [3, 3]]]], [[5, 6, 3,
6, 1], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 0), y = x+1, 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, 6, 2], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 0), y = x+1,
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, 6, 3], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 0),
y = x+1, 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, 6, 4], [And(-1 < v,v < 0), u = v,
And(-1 < x,x < 0), y = x+1, 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, 6, 5], [And(-1 < v,v < 0),
u = v, And(-1 < x,x < 0), y = x+1, 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, 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 = x, z < 0],
[regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1248837/
4194304, -1248837/4194304], [-156105/524288, -312209/1048576], [-1, -1]]]], [[
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 = x, z = 0], [regular_chain, [[-1/2, -1/2], [1696631/2097152,
1696631/2097152], [-1248837/4194304, -1248837/4194304], [-156105/524288, -\
312209/1048576], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-\
1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/
4194304], [-156105/524288, -312209/1048576], [1, 1]]]], [[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 = z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151
/262144], [0, 0], [-243021/1048576, -243021/1048576], [0, 0]]]], [[6, 1, 10, 3
, 1], [v = 0, u < -2^(1/2), x = u^2-1, And(0 < y,y < u^2-1), z = z], [
regular_chain, [[0, 0], [-3, -3], [8, 8], [4, 4], [0, 0]]]], [[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 < -(u^2
+1)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [
239655/1048576, 239655/1048576], [2816117/1048576, 1408059/524288], [-3, -3]]]
], [[6, 3, 7, 8, 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], [2816117/1048576, 1408059/
524288], [-410915/262144, -3287319/2097152]]]], [[6, 3, 7, 8, 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], [2816117/1048576, 1408059/524288],
[-1/4194304, -1/4194304]]]], [[6, 3, 7, 8, 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], [
2816117/1048576, 1408059/524288], [1643659/1048576, 410915/262144]]]], [[6, 3,
7, 8, 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], [2816117/1048576, 1408059/524288],
[3, 3]]]], [[6, 9, 7, 3, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(0 < x,x < u^2
-1), And(x-u^2+1 < 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 = 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], [767309/262144, 3069237/
1048576], [-3, -3]]]], [[7, 3, 8, 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 = 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], [767309/262144, 3069237/1048576], [-3291611/2097152,
-1645805/1048576]]]], [[7, 3, 8, 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 = 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], [767309/262144, 3069237/
1048576], [0, 0]]]], [[7, 3, 8, 6, 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], [767309/262144, 3069237/1048576], [1645805/1048576, 822903/
524288]]]], [[7, 3, 8, 6, 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], [767309/262144, 3069237/1048576], [3, 3]]]], [[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),
u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-1248837/4194304, -1248837/4194304], [3, 3], [-3,
-3]]]], [[7, 5, 7, 9, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 
And(u^2-v^2-1 < x,x < 0), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 3], [
And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), u^
2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2,
1/2], [-1696631/2097152, -1696631/2097152], [-1248837/4194304, -1248837/
4194304], [3, 3], [0, 0]]]], [[7, 5, 7, 9, 4], [And(0 < v,v < 1), And(-(v^2+1)
^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(u^
2-v^2-1 < x,x < 0), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1/2,
1/2], [-1696631/2097152, -1696631/2097152], [-1248837/4194304, -1248837/
4194304], [3, 3], [3, 3]]]], [[8, 1, 4, 5, 1], [v = 1, u < -3^(1/2), x = -1, 
And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1
)^(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(-1 < y,y < 0), z = (y+1
)^(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(
-1 < y,y < 0), (y+1)^(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 = x, z < 0], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [-4, -4], [-4, -4], [-1, -1]]]], [[8, 3, 1, 4, 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, 4, 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, 2, 2, 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, 2, 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, 2, 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, 1, 1], [v = 1, And(0 < u,u < 1), x < u^2-2, y < x, z = z], [
regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [-4, -4], [0, 0]]]], [[8, 14, 8,
2, 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, 1, 1],
[And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y < x-u^2+v^2+
1, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1/
2, -1/2], [-9, -9], [0, 0]]]], [[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(-u^2+v^2-1 < 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], [-20154283/16777216, -20154283/16777216], [-2, -2]]]], [[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(-u^2+v^2-1 < 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], [-20154283/16777216, -\
20154283/16777216], [-1082093/2097152, -270523/524288]]]], [[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(-u
^2+v^2-1 < 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], [-20154283/
16777216, -20154283/16777216], [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(-u^2+v^2-1 < 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], [-20154283/16777216, -20154283/16777216], [270523/524288, 
541047/1048576]]]], [[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(-u^2+v^2-1 < 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], [-\
20154283/16777216, -20154283/16777216], [2, 2]]]], [[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, 0 < y, z < -(y-
u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-3293563/2097152, -1646781/1048576], [1,
1], [-3, -3]]]], [[9, 7, 2, 7, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v
^2-1)^(1/2)), x = u^2-v^2-1, 0 < y, z = -(y-u^2+v^2+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, 7, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2))
, x = u^2-v^2-1, 0 < y, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3293563/2097152, -1646781/1048576], [1, 1], [0, 0]]]], [[9
, 7, 2, 7, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = u^
2-v^2-1, 0 < y, z = (y-u^2+v^2+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, 7, 5
], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, 0 <
y, (y-u^2+v^2+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, 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(0 < y,y < u^2-v^2+x+1), z = z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [2, 2], [
1617841/2097152, 1617841/2097152], [0, 0]]]], [[9, 11, 10, 2, 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, 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, u^2-v^2+2 < y, z < -(y-1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [1, 1], [5, 5], [-3, -3]]]], [[9, 15, 10, 9, 2], [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+2 < y, z = -(y-1
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288,
898327/524288], [1, 1], [5, 5], [-2, -2]]]], [[9, 15, 10, 9, 3], [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+2 < y, 
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, 9, 4], [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+2 < y, z = (y-1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [1, 1], [5, 5], [2,
2]]]], [[9, 15, 10, 9, 5], [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+2 < y, (y-1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [1, 1], [5,
5], [3, 3]]]], [[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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [1/2, 1/2], [9482161/1048576, 
4741081/524288], [-4, -4]]]], [[9, 17, 7, 8, 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], [
9482161/1048576, 4741081/524288], [-1532401/524288, -24518415/8388608]]]], [[9
, 17, 7, 8, 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], [
9482161/1048576, 4741081/524288], [-7/16777216, -7/16777216]]]], [[9, 17, 7, 8
, 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], [9482161/1048576, 4741081/524288], [3064801/
1048576, 1532401/524288]]]], [[9, 17, 7, 8, 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], [
9482161/1048576, 4741081/524288], [4, 4]]]], [[10, 5, 11, 4, 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, 4, 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, 4, 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, 11, 8, 1], [v = 2^(1/2), And(-v < u,u < -1), 1 < x
, y = x-u^2+3, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [3714993/1048576, 
1857497/524288], [-3, -3]]]], [[10, 7, 11, 8, 2], [v = 2^(1/2), And(-v < u,u <
-1), 1 < x, y = x-u^2+3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [3714993/
1048576, 1857497/524288], [-1302471/1048576, -651235/524288]]]], [[10, 7, 11,
8, 3], [v = 2^(1/2), And(-v < u,u < -1), 1 < x, y = x-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], [2, 2], [3714993/1048576, 1857497/
524288], [0, 0]]]], [[10, 7, 11, 8, 4], [v = 2^(1/2), And(-v < u,u < -1), 1 <
x, y = x-u^2+3, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [3714993/1048576, 
1857497/524288], [651235/524288, 1302471/1048576]]]], [[10, 7, 11, 8, 5], [v =
2^(1/2), And(-v < u,u < -1), 1 < x, y = x-u^2+3, (-u^2+3)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [2, 2], [3714993/1048576, 1857497/524288], [3, 3]]]], [[10, 11, 9, 3
, 1], [v = 2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), And(0 < y,y < u^2
+x-1), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2],
[7/8, 7/8], [1/16, 1/16], [0, 0]]]], [[10, 13, 7, 9, 1], [v = 2^(1/2), And(1 <
u,u < v), And(-u^2+1 < x,x < 0), x-u^2+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-239655/1048576, -239655/1048576], [3, 3], [-3, -3]]]], [[10, 13, 7
, 9, 2], [v = 2^(1/2), And(1 < u,u < v), And(-u^2+1 < x,x < 0), x-u^2+3 < y, z
= -(y-x)^(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, 9, 3], [v = 2^(1/2), And(1
< u,u < v), And(-u^2+1 < x,x < 0), x-u^2+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)
^(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, 9, 4], [v = 2^(1/2), And(1 < u,u < v), And(-u^2+1 <
x,x < 0), x-u^2+3 < y, z = (y-x)^(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, 9,
5], [v = 2^(1/2), And(1 < u,u < v), And(-u^2+1 < x,x < 0), x-u^2+3 < y, (y-x)^
(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-239655/1048576, -239655/1048576], [3, 3], [3, 3]]
]], [[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 = x-u^2+v^2+1, z = z], [regular_chain, [[3, 3], [-3396811
/1048576, -3396811/1048576], [-4, -4], [-4712349/1048576, -1178087/262144], [0
, 0]]]], [[11, 4, 8, 6, 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, 6, 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, 6,
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, 6, 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, 6, 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, 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
< u^2-v^2+x+1, z = z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [-4, -4], [-6, -6], [0, 0]]]], [[11, 10, 6, 7, 1], [2^(1/2) < v, u =
-(v^2-2)^(1/2), x = 0, 3 < y, z < -y^(1/2)], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [0, 0], [4, 4], [-3, -3]]]], [[11, 10, 6,
7, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 0, 3 < y, z = -y^(1/2)], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [0, 0], [4, 4],
[-2, -2]]]], [[11, 10, 6, 7, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 0, 3 <
y, 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, 7, 4], [2^(1/2) < v
, u = -(v^2-2)^(1/2), x = 0, 3 < y, z = y^(1/2)], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [0, 0], [4, 4], [2, 2]]]], [[11, 10, 6, 7,
5], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 0, 3 < y, y^(1/2) < z], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [0, 0], [4, 4],
[3, 3]]]], [[11, 16, 1, 3, 1], [2^(1/2) < v, u = v, x < -1, And(x < y,y < x+1)
, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [3, 3], [-2, -2], [-3/2, -3/2],
[-2, -2]]]], [[11, 16, 1, 3, 2], [2^(1/2) < v, u = v, x < -1, And(x < y,y < x+
1), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [3, 3], [-2, -2], [-3/2, -3/2]
, [-1482911/2097152, -741455/1048576]]]], [[11, 16, 1, 3, 3], [2^(1/2) < v, u
= v, x < -1, And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [3, 3], [-2, -2], [-3/2, -3/2], [0, 0]]]], [[11, 16, 1
, 3, 4], [2^(1/2) < v, u = v, x < -1, And(x < y,y < x+1), z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [3, 3], [-2, -2], [-3/2, -3/2], [741455/1048576, 46341
/65536]]]], [[11, 16, 1, 3, 5], [2^(1/2) < v, u = v, x < -1, And(x < y,y < x+1
), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [3, 3], [-2, -2], [-3/2, -3/2],
[2, 2]]]], [[11, 18, 1, 7, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), x < -2, 0 < y,
z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [
-3, -3], [1, 1], [-3, -3]]]], [[11, 18, 1, 7, 2], [2^(1/2) < v, u = (v^2+1)^(1
/2), x < -2, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [207243/65536,
3315889/1048576], [-3, -3], [1, 1], [-2, -2]]]], [[11, 18, 1, 7, 3], [2^(1/2)
< v, u = (v^2+1)^(1/2), x < -2, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3, -3], [1, 1], [0
, 0]]]], [[11, 18, 1, 7, 4], [2^(1/2) < v, u = (v^2+1)^(1/2), x < -2, 0 < y, z
= (y-x)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3,
-3], [1, 1], [2, 2]]]], [[11, 18, 1, 7, 5], [2^(1/2) < v, u = (v^2+1)^(1/2), x
< -2, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [207243/65536, 3315889
/1048576], [-3, -3], [1, 1], [3, 3]]]], [[11, 21, 10, 2, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 11
, 2, 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, 7, 11, 7, 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-u^2+v^2+1), z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [2, 2], [3, 3]
, [-2, -2]]]], [[1, 7, 11, 7, 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-u^2+v^2+1), z = -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [2, 2], [3, 3]
, [-1, -1]]]], [[1, 7, 11, 7, 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-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^
(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [2,
2], [3, 3], [0, 0]]]], [[1, 7, 11, 7, 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-u^2+v^2+1), z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [2, 2], [3, 3]
, [1, 1]]]], [[1, 7, 11, 7, 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-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain,
[[-3, -3], [-6111549/2097152, -6111549/2097152], [2, 2], [3, 3], [2, 2]]]], [[
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 < 0, z = z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [2, 2], [-1, -1], [0, 0]]]], [[1, 15, 4, 9, 1], [v < -2^(1/2), And((
v^2-1)^(1/2) < u,u < -v), x = -1, -u^2+v^2 < y, z < -(y+1)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-1, -1], [2, 2]
, [-3, -3]]]], [[1, 15, 4, 9, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v)
, x = -1, -u^2+v^2 < y, z = -(y+1)^(1/2)], [regular_chain, [[-3, -3], [6111549
/2097152, 6111549/2097152], [-1, -1], [2, 2], [-1816187/1048576, -3632373/
2097152]]]], [[1, 15, 4, 9, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
x = -1, -u^2+v^2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain,
[[-3, -3], [6111549/2097152, 6111549/2097152], [-1, -1], [2, 2], [-1/4194304,
-1/4194304]]]], [[1, 15, 4, 9, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v
), x = -1, -u^2+v^2 < y, z = (y+1)^(1/2)], [regular_chain, [[-3, -3], [6111549
/2097152, 6111549/2097152], [-1, -1], [2, 2], [908093/524288, 1816187/1048576]
]]], [[1, 15, 4, 9, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1,
-u^2+v^2 < y, (y+1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [-1, -1], [2, 2], [3, 3]]]], [[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 = 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], [388037/524288, 776075/1048576]
, [-3, -3]]]], [[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 = 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], [388037/524288, 776075/1048576], [-1281417/1048576, -160177/
131072]]]], [[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 = u^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], [388037/524288, 776075/1048576], [0, 0]]]
], [[1, 17, 5, 8, 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], [
388037/524288, 776075/1048576], [160177/131072, 1281417/1048576]]]], [[1, 17,
5, 8, 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], [388037/
524288, 776075/1048576], [3, 3]]]], [[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 < x-u^2+v^2+1, z = z], [regular_chain
, [[-3, -3], [5, 5], [-9, -9], [-25, -25], [0, 0]]]], [[2, 1, 9, 2, 1], [v = -
2^(1/2), u < -2, And(1 < x,x < u^2-3), y = x-u^2+3, z = z], [regular_chain, [[
-1482911/1048576, -741455/524288], [-3, -3], [7/2, 7/2], [-5/2, -5/2], [0, 0]]
]], [[2, 10, 3, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 12, 1, 2, 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, 2, 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, 2, 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, 1, 7, 1], [v = -2^(1/2), u = 3
^(1/2), x < -2, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [908093/524288, 1816187/1048576], [-3, -3], [1, 1], [-3, -3]]
]], [[2, 16, 1, 7, 2], [v = -2^(1/2), u = 3^(1/2), x < -2, 0 < y, z = -(y-x)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 
1816187/1048576], [-3, -3], [1, 1], [-2, -2]]]], [[2, 16, 1, 7, 3], [v = -2^(1
/2), u = 3^(1/2), x < -2, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-3, -3], [1, 1], [0, 0]]]], [[2, 16, 1, 7, 4], [v = -2^(1/2), u = 3
^(1/2), x < -2, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [908093/524288, 1816187/1048576], [-3, -3], [1, 1], [2, 2]]]],
[[2, 16, 1, 7, 5], [v = -2^(1/2), u = 3^(1/2), x < -2, 0 < y, (y-x)^(1/2) < z]
, [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187
/1048576], [-3, -3], [1, 1], [3, 3]]]], [[2, 18, 1, 1, 1], [v = -2^(1/2), u =
2, x < -3, y < x-1, z = z], [regular_chain, [[-1482911/1048576, -741455/524288
], [2, 2], [-4, -4], [-6, -6], [0, 0]]]], [[3, 4, 2, 2, 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, 2, 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, 2, 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, 3,
1], [And(-2^(1/2) < v,v < -1), u = v, x < -1, And(x < y,y < x+1), z < -(y-x)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [-2, -2], [-3/2, -3/2], [-2, -2]]]], [[3, 6, 1, 3,
2], [And(-2^(1/2) < v,v < -1), u = v, x < -1, And(x < y,y < x+1), z = -(y-x)^(
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, 3, 3], [And(-2^(1/2) < v,v < -1), u = v, x < -1, And(
x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2,
-2], [-3/2, -3/2], [0, 0]]]], [[3, 6, 1, 3, 4], [And(-2^(1/2) < v,v < -1), u =
v, x < -1, And(x < y,y < x+1), z = (y-x)^(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, 3, 5], [And(-2^(1/2)
< v,v < -1), u = v, x < -1, And(x < y,y < x+1), (y-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [-3/2, -3/2], [2, 2]]]], [[3, 10, 2, 1, 1], [And(-
2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -2, y < -2, z = z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-2,
-2], [-3, -3], [0, 0]]]], [[3, 12, 1, 2, 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, 2, 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, 2, 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, 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(0 < y,y < u^2-v^2+x+
1), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[898327/524288, 898327/524288], [-3647693/2097152, -3647693/2097152], [387635/
1048576, 387635/1048576], [-3, -3]]]], [[3, 15, 3, 7, 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 < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [-3647693/2097152,
-3647693/2097152], [387635/1048576, 387635/1048576], [-380699/262144, -1522795
/1048576]]]], [[3, 15, 3, 7, 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 < u^2-v^2+x+1)
, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [898327/524288, 898327/524288], [-3647693/2097152, -3647693
/2097152], [387635/1048576, 387635/1048576], [0, 0]]]], [[3, 15, 3, 7, 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 < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-\
3647693/2097152, -3647693/2097152], [387635/1048576, 387635/1048576], [1522795
/1048576, 380699/262144]]]], [[3, 15, 3, 7, 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
< u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [898327/524288, 898327/524288], [-3647693/2097152, -3647693/2097152
], [387635/1048576, 387635/1048576], [3, 3]]]], [[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 < x-u^2+v^2+1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10, -10], [-18
, -18], [0, 0]]]], [[4, 3, 4, 8, 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], [773191/524288, 1546383/1048576], [-3, -3]]]], [[4
, 3, 4, 8, 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],
[773191/524288, 1546383/1048576], [-1649549/1048576, -3299097/2097152]]]], [[4
, 3, 4, 8, 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], [773191/524288, 1546383/1048576], [-1/4194304, -1/4194304]
]]], [[4, 3, 4, 8, 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], [773191/524288, 1546383/1048576], [412387/262144, 1649549/1048576]]]
], [[4, 3, 4, 8, 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], [773191/524288, 1546383/1048576], [3, 3]]]], [[4, 5, 4, 2, 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, 2, 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, 2, 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, 5, 4, 1], [v = -1, And(1 < u,u < 2^(1/
2)), And(-1 < x,x < u^2-2), y = x-u^2+2, z < -(-u^2+2)^(1/2)], [regular_chain,
[[-1, -1], [1265743/1048576, 1265743/1048576], [-3235683/4194304, -3235683/
4194304], [-29957/131072, -239655/1048576], [-2, -2]]]], [[4, 11, 5, 4, 2], [v
= -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), y = x-u^2+2, z = -(-u^2+2
)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-\
3235683/4194304, -3235683/4194304], [-29957/131072, -239655/1048576], [-772605
/1048576, -1545209/2097152]]]], [[4, 11, 5, 4, 3], [v = -1, And(1 < u,u < 2^(1
/2)), And(-1 < x,x < u^2-2), y = x-u^2+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], [-29957/131072, -239655/1048576], [-1/
4194304, -1/4194304]]]], [[4, 11, 5, 4, 4], [v = -1, And(1 < u,u < 2^(1/2)), 
And(-1 < x,x < u^2-2), y = x-u^2+2, z = (-u^2+2)^(1/2)], [regular_chain, [[-1,
-1], [1265743/1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304],
[-29957/131072, -239655/1048576], [193151/262144, 772605/1048576]]]], [[4, 11,
5, 4, 5], [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), y = x-u^2+2,
(-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-3235683/4194304, -3235683/4194304], [-29957/131072, -239655/
1048576], [2, 2]]]], [[4, 13, 4, 7, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)),
x = -1, And(0 < y,y < u^2-1), z < -(y+1)^(1/2)], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-1, -1], [1546381/2097152, 1546381/2097152
], [-3, -3]]]], [[4, 13, 4, 7, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x =
-1, And(0 < y,y < u^2-1), z = -(y+1)^(1/2)], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-1, -1], [1546381/2097152, 1546381/2097152
], [-691061/524288, -1382121/1048576]]]], [[4, 13, 4, 7, 3], [v = -1, And(2^(1
/2) < u,u < 3^(1/2)), x = -1, And(0 < y,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], [1546381/2097152, 1546381/2097152], [0, 0]]]], [[4, 13, 4, 7, 4], [v
= -1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, And(0 < y,y < u^2-1), z = (y+1)^(1
/2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1, -1],
[1546381/2097152, 1546381/2097152], [1382121/1048576, 691061/524288]]]], [[4,
13, 4, 7, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, And(0 < y,y < u^2
-1), (y+1)^(1/2) < z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [-1, -1], [1546381/2097152, 1546381/2097152], [3, 3]]]], [[5, 1, 8,
5, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = 1, And(0 < y,y < 1), 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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [
[-1/2, -1/2], [-343151/262144, -343151/262144], [-1/2, -1/2], [1029453/524288,
2058907/1048576], [-3, -3]]]], [[5, 3, 5, 8, 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], [1029453/524288, 2058907/1048576], [-3291611/2097152, -\
1645805/1048576]]]], [[5, 3, 5, 8, 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], [1029453/524288, 2058907/1048576], [0,
0]]]], [[5, 3, 5, 8, 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],
[1029453/524288, 2058907/1048576], [1645805/1048576, 822903/524288]]]], [[5, 3
, 5, 8, 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], [1029453/524288,
2058907/1048576], [3, 3]]]], [[5, 12, 4, 3, 1], [And(-1 < v,v < 0), u = (v^2+2
)^(1/2), x = -1, And(-2 < y,y < -1), z = z], [regular_chain, [[-1/2, -1/2], [3
/2, 3/2], [-1, -1], [-3/2, -3/2], [0, 0]]]], [[6, 1, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 5, 1], [v = 0, u = -1, x = 0, 2 < y,
z < -y^(1/2)], [regular_chain, [[0, 0], [-1, -1], [0, 0], [3, 3], [-3, -3]]]],
[[6, 4, 6, 5, 2], [v = 0, u = -1, x = 0, 2 < y, z = -y^(1/2)], [regular_chain,
[[0, 0], [-1, -1], [0, 0], [3, 3], [-1816187/1048576, -3632373/2097152]]]], [[
6, 4, 6, 5, 3], [v = 0, u = -1, x = 0, 2 < y, 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, 5, 4], [v = 0, u = -1, x = 0, 2 < y, z = y^(1/2)], [regular_chain
, [[0, 0], [-1, -1], [0, 0], [3, 3], [908093/524288, 1816187/1048576]]]], [[6,
4, 6, 5, 5], [v = 0, u = -1, x = 0, 2 < y, y^(1/2) < z], [regular_chain, [[0,
0], [-1, -1], [0, 0], [3, 3], [3, 3]]]], [[6, 6, 6, 1, 1], [v = 0, u = 0, x =
1, y < 0, z = z], [regular_chain, [[0, 0], [0, 0], [1, 1], [-1, -1], [0, 0]]]]
, [[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, 4 < y, z <
-(y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1, 1], [5, 5], [-3,
-3]]]], [[7, 2, 8, 7, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = 1, 4 < y,
z = -(y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1, 1], [5, 5],
[-2, -2]]]], [[7, 2, 8, 7, 3], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = 1, 4
< y, 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, 7, 4], [And(0 < v,v < 1), u =
-(v^2+2)^(1/2), x = 1, 4 < y, z = (y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [
-3/2, -3/2], [1, 1], [5, 5], [2, 2]]]], [[7, 2, 8, 7, 5], [And(0 < v,v < 1), u
= -(v^2+2)^(1/2), x = 1, 4 < y, (y-1)^(1/2) < z], [regular_chain, [[1/2, 1/2],
[-3/2, -3/2], [1, 1], [5, 5], [3, 3]]]], [[7, 6, 7, 1, 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
], [-1, -1], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [-3, -3], [-3, -3], [-1, -1]]]], [[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 = x,
z = 0], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-3,
-3], [-3, -3], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [-3, -3], [-3, -3], [1, 1]]]], [[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-u^2+v^2+1, z = z], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [1534619/2097152, 1534619/2097152], [281267/1048576, 
70317/262144], [0, 0]]]], [[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 = z], [regular_chain, [[1/2, 1/2], [3, 3], [0, 0
], [-9, -9], [0, 0]]]], [[8, 3, 10, 7, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/
2)), x = 1, And(1 < y,y < u^2+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, 7, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2
)), x = 1, And(1 < y,y < u^2+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, 7, 3], [v = 1, And(-3^(1
/2) < u,u < -2^(1/2)), x = 1, And(1 < y,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], [2346055/1048576, 2346055/1048576], [0, 0]]]], [[8, 3, 10, 7, 4], [v =
1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1, And(1 < y,y < u^2+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, 7, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1, And(1 < y,y < u^2+
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, 6,
1], [v = 1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), y = x-u^2+2, z < -(-u^
2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1
/2, 1/2], [1093553/1048576, 546777/524288], [-2, -2]]]], [[8, 5, 9, 6, 2], [v
= 1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), y = x-u^2+2, z = -(-u^2+2)^(1
/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2
], [1093553/1048576, 546777/524288], [-772605/1048576, -1545209/2097152]]]], [
[8, 5, 9, 6, 3], [v = 1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), y = x-u^2
+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], [1093553/1048576, 546777/
524288], [-1/4194304, -1/4194304]]]], [[8, 5, 9, 6, 4], [v = 1, And(-2^(1/2) <
u,u < -1), And(0 < x,x < 1), y = x-u^2+2, z = (-u^2+2)^(1/2)], [regular_chain,
[[1, 1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [1093553/1048576, 
546777/524288], [193151/262144, 772605/1048576]]]], [[8, 5, 9, 6, 5], [v = 1,
And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), y = x-u^2+2, (-u^2+2)^(1/2) < z],
[regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [
1093553/1048576, 546777/524288], [2, 2]]]], [[8, 11, 11, 1, 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], [-1, -1], [0, 0]]]], [[8, 13, 9, 9, 1], [v
= 1, And(2^(1/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), u^2+x < y, z < -(y-x)
^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [773191/
1048576, 773191/1048576], [5, 5], [-4, -4]]]], [[8, 13, 9, 9, 2], [v = 1, And(
2^(1/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), u^2+x < y, z = -(y-x)^(1/2)],
[regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [773191/1048576,
773191/1048576], [5, 5], [-270613/131072, -2164903/1048576]]]], [[8, 13, 9, 9,
3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), u^2+x < y, And
(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [3299097/2097152
, 3299097/2097152], [773191/1048576, 773191/1048576], [5, 5], [0, 0]]]], [[8,
13, 9, 9, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), u^2+
x < y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [773191/1048576, 773191/1048576], [5, 5], [2164903/1048576, 270613/
131072]]]], [[8, 13, 9, 9, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(u^2-2
< x,x < 1), u^2+x < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [773191/1048576, 773191/1048576], [5, 5], [4, 4]]]]
, [[9, 2, 3, 4, 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
, 4, 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, 4, 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, 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(0 < y,y
< x-u^2+v^2+1), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-14373233/8388608, -14373233/8388608], [2, 2], [797593/1048576, 797593/1048576
], [0, 0]]]], [[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, 0 < y, 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, 7, 2], [And
(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, 0 < y, 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, 7, 3], [And(1 < v,v < 2^(
1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, 0 < y, 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, 7, 4], [And
(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, 0 < y, 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, 7, 5], [And(1 < v,v < 2^(1/2)
), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, 0 < y, (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, 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 = 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],
[-1595187/1048576, -3190373/2097152], [-3, -3]]]], [[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 =
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], [-1595187/1048576,
-3190373/2097152], [-3301741/2097152, -825435/524288]]]], [[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 = u^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], [-1595187/1048576, -3190373/2097152], [0, 0]]]], [[9, 15, 1
, 6, 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], [
-1595187/1048576, -3190373/2097152], [825435/524288, 1650871/1048576]]]], [[9,
15, 1, 6, 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], [
-1595187/1048576, -3190373/2097152], [3, 3]]]], [[10, 1, 6, 1, 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], [-7, -7], [0, 0]]]], [[10, 3, 3, 2, 1], [v = 2^(1
/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), y = x-u^2+3, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-3651195/2097152, -3651195/2097152], [-2331065/1048576, -291383/
131072], [0, 0]]]], [[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-1, z = z], [regular_chain, [[741455/524288, 1482911
/1048576], [-1/2, -1/2], [-15/8, -15/8], [-4, -4], [0, 0]]]], [[10, 10, 8, 7,
1], [v = 2^(1/2), u = 0, x = 1, 4 < y, z < -(y-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [1, 1], [5, 5], [-3, -3]]]], [[10, 10
, 8, 7, 2], [v = 2^(1/2), u = 0, x = 1, 4 < y, z = -(y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [1, 1], [5, 5], [-2,
-2]]]], [[10, 10, 8, 7, 3], [v = 2^(1/2), u = 0, x = 1, 4 < y, 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, 7, 4], [v = 2^(1/2), u = 0, x =
1, 4 < y, z = (y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[0, 0], [1, 1], [5, 5], [2, 2]]]], [[10, 10, 8, 7, 5], [v = 2^(1/2), u = 0, x
= 1, 4 < y, (y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576
], [0, 0], [1, 1], [5, 5], [3, 3]]]], [[10, 14, 7, 7, 1], [v = 2^(1/2), u = v,
1 < x, x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [741455/524288, 1482911/1048576], [2, 2], [4, 4], [-3, -3]]]], [[10,
14, 7, 7, 2], [v = 2^(1/2), u = v, 1 < x, x+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [2, 2], [4, 4], [-1482911/1048576, -741455/524288]]]], [[10, 14, 7,
7, 3], [v = 2^(1/2), u = v, 1 < x, x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/
2))], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 
1482911/1048576], [2, 2], [4, 4], [0, 0]]]], [[10, 14, 7, 7, 4], [v = 2^(1/2),
u = v, 1 < x, x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [741455/524288, 1482911/1048576], [2, 2], [4, 4], [741455/
524288, 1482911/1048576]]]], [[10, 14, 7, 7, 5], [v = 2^(1/2), u = v, 1 < x, x
+1 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
741455/524288, 1482911/1048576], [2, 2], [4, 4], [3, 3]]]], [[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+3, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [0, 0], [-7, -7], [0, 0]]]], [[11, 1, 11, 9,
1], [2^(1/2) < v, u < -(v^2+2)^(1/2), u^2-v^2-1 < x, u^2-v^2+x+1 < y, z < -(y-
x)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [16, 16], [34, 34], [-6, -6]]]],
[[11, 1, 11, 9, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), u^2-v^2-1 < x, u^2-v^2+x
+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [16, 16], [34, 
34], [-1112183/262144, -4448731/1048576]]]], [[11, 1, 11, 9, 3], [2^(1/2) < v,
u < -(v^2+2)^(1/2), u^2-v^2-1 < x, u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[3, 3], [-5, -5], [16, 16], [34, 34], [0, 0]]]]
, [[11, 1, 11, 9, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), u^2-v^2-1 < x, u^2-v^2
+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [16, 16], [34,
34], [4448731/1048576, 1112183/262144]]]], [[11, 1, 11, 9, 5], [2^(1/2) < v, u
< -(v^2+2)^(1/2), u^2-v^2-1 < x, u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-5, -5], [16, 16], [34, 34], [6, 6]]]], [[11, 5, 9, 4
, 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, 4, 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, 4, 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, 9, 8, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)
), And(0 < x,x < 1), y = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain
, [[3, 3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [526217/262144, 
2104869/1048576], [-3, -3]]]], [[11, 7, 9, 8, 2], [2^(1/2) < v, And(-v < u,u <
-(v^2-1)^(1/2)), And(0 < x,x < 1), y = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)],
[regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [
526217/262144, 2104869/1048576], [-1287385/1048576, -160923/131072]]]], [[11,
7, 9, 8, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y
= x-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], [1/2, 1/2], [
526217/262144, 2104869/1048576], [0, 0]]]], [[11, 7, 9, 8, 4], [2^(1/2) < v, 
And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = x-u^2+v^2+1, z = (-u^2+v
^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [
1/2, 1/2], [526217/262144, 2104869/1048576], [160923/131072, 1287385/1048576]]
]], [[11, 7, 9, 8, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x
,x < 1), y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [1/2, 1/2], [526217/262144, 2104869/
1048576], [3, 3]]]], [[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 = -1, z < 0], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [-1, -1], [-1, -1], [-1, -1]]]], [[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 = -1, z = 0]
, [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1, -1], [-1, -1
], [0, 0]]]], [[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 = -1, 0 < z], [regular_chain, [[3, 3], [1435023/524288,
1435023/524288], [-1, -1], [-1, -1], [1, 1]]]], [[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(x < y,y < u^2-
v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [-657289/524288, -657289/524288], [-8450337/8388608, -\
8450337/8388608], [-2, -2]]]], [[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(x < y,y < u^2-v^2+x+1), z = -(
y-x)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-\
657289/524288, -657289/524288], [-8450337/8388608, -8450337/8388608], [-16263/
32768, -520415/1048576]]]], [[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(x < y,y < u^2-v^2+x+1), And(-(y-x
)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [-657289/524288, -657289/524288], [-8450337/8388608, -\
8450337/8388608], [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(x < y,y < u^2-v^2+x+1), z = (y-x
)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-\
657289/524288, -657289/524288], [-8450337/8388608, -8450337/8388608], [520415/
1048576, 16263/32768]]]], [[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(x < y,y < u^2-v^2+x+1), (y-x)^(1/2)
< z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-657289/
524288, -657289/524288], [-8450337/8388608, -8450337/8388608], [2, 2]]]], [[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 = z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [-1, -1], [-3, -3], [0, 0]]]], [[11, 20, 9, 9, 1], [2^(1/2) < v, u =
(v^2+2)^(1/2), 1 < x, x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [
3477733/1048576, 1738867/524288], [2, 2], [6, 6], [-3, -3]]]], [[11, 20, 9, 9,
2], [2^(1/2) < v, u = (v^2+2)^(1/2), 1 < x, x+3 < y, z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [2, 2], [6, 6], [-2
, -2]]]], [[11, 20, 9, 9, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), 1 < x, x+3 < y,
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [3477733/
1048576, 1738867/524288], [2, 2], [6, 6], [0, 0]]]], [[11, 20, 9, 9, 4], [2^(1
/2) < v, u = (v^2+2)^(1/2), 1 < x, x+3 < y, z = (y-x)^(1/2)], [regular_chain,
[[3, 3], [3477733/1048576, 1738867/524288], [2, 2], [6, 6], [2, 2]]]], [[11, 
20, 9, 9, 5], [2^(1/2) < v, u = (v^2+2)^(1/2), 1 < x, x+3 < y, (y-x)^(1/2) < z
], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [2, 2], [6, 6],
[3, 3]]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-3, -3], [0, 0], [-3, -3]]]], [[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 = 0, z = -(-x)^(1/2
)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-3, -3], [0,
0], [-1816187/1048576, -3632373/2097152]]]], [[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 = 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, 8, 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, 8, 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, 2, 7, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, 0 <
y, z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-3161161/2097152, -395145/262144], [1, 1], [-3, -3]]]], [[1
, 7, 2, 7, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, 0
< y, z = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152,
-6111549/2097152], [-3161161/2097152, -395145/262144], [1, 1], [-1660383/
1048576, -3320765/2097152]]]], [[1, 7, 2, 7, 3], [v < -2^(1/2), And(v < u,u <
-(v^2-1)^(1/2)), x = u^2-v^2-1, 0 < y, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2
+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-3161161/2097152, -395145/262144], [1, 1], [-1/4194304, -1/4194304]
]]], [[1, 7, 2, 7, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v
^2-1, 0 < y, z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-3161161/2097152, -395145/262144], [1, 1], [
830191/524288, 1660383/1048576]]]], [[1, 7, 2, 7, 5], [v < -2^(1/2), And(v < u
,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, 0 < y, (y-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3161161/
2097152, -395145/262144], [1, 1], [3, 3]]]], [[1, 10, 8, 7, 1], [v < -2^(1/2),
u = -(v^2-2)^(1/2), x = 1, 4 < y, z < -(y-1)^(1/2)], [regular_chain, [[-3, -3]
, [-5548543/2097152, -2774271/1048576], [1, 1], [5, 5], [-3, -3]]]], [[1, 10,
8, 7, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 1, 4 < y, z = -(y-1)^(1/2)],
[regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [1, 1], [5, 5
], [-2, -2]]]], [[1, 10, 8, 7, 3], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 1, 4
< y, 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, 7,
4], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 1, 4 < y, z = (y-1)^(1/2)], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [1, 1], [5, 5]
, [2, 2]]]], [[1, 10, 8, 7, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 1, 4 <
y, (y-1)^(1/2) < z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/
1048576], [1, 1], [5, 5], [3, 3]]]], [[1, 12, 6, 1, 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], [-2, -2], [0, 0]]]], [[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-1, z = z], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [-2, -2], [-4, -4], [0, 0]]]], [[2, 2, 7, 1, 1], [v
= -2^(1/2), u = -2, And(0 < x,x < 1), y < x-1, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-2, -2], [1/2, 1/2], [-2, -2], [0, 0]]]], [
[2, 4, 5, 3, 1], [v = -2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), And(x < y,y <
0), z < -(y-x)^(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, 3, 2], [v = -2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), And(x < y,y <
0), z = -(y-x)^(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, 3, 3], [v = -2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), And(x < y
,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [v = -2^(1/2), u = -3^(1/2), And(-1
< x,x < 0), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = -2^(1/2), u = -3^(1/2), 
And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(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, 6, 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], [569265/524288, 1138531/1048576], [-3, -3]]]]
, [[2, 7, 6, 6, 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], [
569265/524288, 1138531/1048576], [-1302471/1048576, -651235/524288]]]], [[2, 7
, 6, 6, 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], [569265/524288, 1138531/1048576], [0, 0]]]], [[2, 7, 6, 6, 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], [569265/524288, 1138531/
1048576], [651235/524288, 1302471/1048576]]]], [[2, 7, 6, 6, 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], [569265/524288, 1138531/
1048576], [3, 3]]]], [[2, 9, 5, 9, 1], [v = -2^(1/2), And(-1 < u,u < 0), And(-\
1 < x,x < 0), x-u^2+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [-1/2, -1/2], [4, 4], [-4, -4]]]], [[2
, 9, 5, 9, 2], [v = -2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), x-u^2+3 <
y, z = -(y-x)^(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, 9, 3], [v = -2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), x-u^2+3 < y,
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-1/2, -1/2], [4, 4], [0, 0]]]], [[2, 9, 5, 9, 4
], [v = -2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), x-u^2+3 < y, z = (y-x)
^(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, 9, 5], [v
= -2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), x-u^2+3 < y, (y-x)^(1/2) < z
], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/2, -\
1/2], [4, 4], [4, 4]]]], [[2, 13, 3, 2, 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], [-1333209/1048576, -166651/131072], [-1, -1]]]], [[2, 13, 3,
2, 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], [-1333209/1048576, -166651/
131072], [0, 0]]]], [[2, 13, 3, 2, 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], [-1333209/1048576, -166651/131072], [1, 1]]]], [[2, 15, 4, 1, 1], [v
= -2^(1/2), And(-v < u,u < 3^(1/2)), x = -1, y < -1, z = z], [regular_chain, [
[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-1, -\
1], [-2, -2], [0, 0]]]], [[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 < -y^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [0, 0], [10, 10], [-5, -5]]]], [[3, 1, 6
, 7, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = 0, u^2-v^2+1 < y,
z = -y^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3]
, [0, 0], [10, 10], [-3315889/1048576, -207243/65536]]]], [[3, 1, 6, 7, 3], [
And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = 0, u^2-v^2+1 < y, 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, 7, 4], [And(-2^(1/2) < v,v <
-1), u < -(v^2+2)^(1/2), x = 0, u^2-v^2+1 < y, z = y^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-3, -3], [0, 0], [10, 10], [207243/
65536, 3315889/1048576]]]], [[3, 1, 6, 7, 5], [And(-2^(1/2) < v,v < -1), u < -
(v^2+2)^(1/2), x = 0, u^2-v^2+1 < y, y^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [0, 0], [10, 10], [5, 5]]]], [[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 < -1), z = z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [-2599117
/2097152, -2599117/2097152], [0, 0]]]], [[3, 7, 4, 8, 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], [-3, -3
]]]], [[3, 7, 4, 8, 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], [-1314069/1048576, -328517/262144]]]], [[3, 7,
4, 8, 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, 8, 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], [328517/262144, 1314069/1048576]]]], [[3, 7, 4, 8, 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], [3, 3]]]], [[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 = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [-\
1527887/1048576, -763943/524288], [0, 0]]]], [[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(x < y,y < u^2-v^
2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [7909297/2097152, 7909297/2097152], [8433585/1048576, 
8433585/1048576], [-4, -4]]]], [[3, 17, 9, 7, 2], [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 < u^2-v^2+x+1), z = -(
y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [
7909297/2097152, 7909297/2097152], [8433585/1048576, 8433585/1048576], [-\
2167143/1048576, -1083571/524288]]]], [[3, 17, 9, 7, 3], [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 < u^2-v^2+x+1),
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [7909297/2097152, 7909297/2097152], [8433585/1048576
, 8433585/1048576], [0, 0]]]], [[3, 17, 9, 7, 4], [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 < u^2-v^2+x+1), z = (y
-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [
7909297/2097152, 7909297/2097152], [8433585/1048576, 8433585/1048576], [
1083571/524288, 2167143/1048576]]]], [[3, 17, 9, 7, 5], [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 < u^2-v^2+x+1),
(y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3
], [7909297/2097152, 7909297/2097152], [8433585/1048576, 8433585/1048576], [4,
4]]]], [[4, 2, 5, 1, 1], [v = -1, u = -3^(1/2), And(-1 < x,x < 0), y < x-1, z
= z], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-1/2,
-1/2], [-3, -3], [0, 0]]]], [[4, 6, 2, 1, 1], [v = -1, u = -1, x = -1, y < -1,
z = z], [regular_chain, [[-1, -1], [-1, -1], [-1, -1], [-2, -2], [0, 0]]]], [[
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, 2*u^2-2 < y, z < -(y-u^2+2)^(1/2)], [regular_chain, [[-1, -1],
[3, 3], [7, 7], [17, 17], [-5, -5]]]], [[4, 15, 10, 7, 2], [v = -1, 3^(1/2) <
u, x = u^2-2, 2*u^2-2 < y, z = -(y-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [
3, 3], [7, 7], [17, 17], [-3315889/1048576, -207243/65536]]]], [[4, 15, 10, 7,
3], [v = -1, 3^(1/2) < u, x = u^2-2, 2*u^2-2 < y, And(-(y-u^2+2)^(1/2) < z,z <
(y-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [3, 3], [7, 7], [17, 17], [0, 0]
]]], [[4, 15, 10, 7, 4], [v = -1, 3^(1/2) < u, x = u^2-2, 2*u^2-2 < y, z = (y-
u^2+2)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [7, 7], [17, 17], [207243/
65536, 3315889/1048576]]]], [[4, 15, 10, 7, 5], [v = -1, 3^(1/2) < u, x = u^2-\
2, 2*u^2-2 < y, (y-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [3, 3], [7, 7
], [17, 17], [5, 5]]]], [[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+1), z <
-(y-x)^(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+1), z = -(y-x)^(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, 5, 3], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 0), And(0 < y,y <
x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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,
5, 4], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 0), And(0 < y,y < x+1), z = (
y-x)^(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, 5, 5], [And(-1 < v,v < 0)
, u = v, And(-1 < x,x < 0), And(0 < y,y < x+1), (y-x)^(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(x < y,y < 0), z < -(y-x)^(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, 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(x < y,y < 0), z = -(y-x)^(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, 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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(x < y,y < 0), z = (y-x)^(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, 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(x < y,y < 0), (y-x)^(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, 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 = 0, z = z], [
regular_chain, [[0, 0], [-3, -3], [8, 8], [0, 0], [0, 0]]]], [[6, 3, 7, 7, 1],
[v = 0, And(-2^(1/2) < u,u < -1), And(0 < x,x < u^2-1), And(x < y,y < u^2+x+1)
, z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [239655/1048576, 239655/1048576], [763943/524288, 763943/524288], [-\
3, -3]]]], [[6, 3, 7, 7, 2], [v = 0, And(-2^(1/2) < u,u < -1), And(0 < x,x < u
^2-1), And(x < y,y < u^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [239655/1048576, 239655/1048576], [763943/
524288, 763943/524288], [-1162243/1048576, -581121/524288]]]], [[6, 3, 7, 7, 3
], [v = 0, And(-2^(1/2) < u,u < -1), And(0 < x,x < u^2-1), And(x < y,y < u^2+x
+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [239655/1048576, 239655/1048576], [763943/
524288, 763943/524288], [0, 0]]]], [[6, 3, 7, 7, 4], [v = 0, And(-2^(1/2) < u,
u < -1), And(0 < x,x < u^2-1), And(x < y,y < u^2+x+1), z = (y-x)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [239655/1048576,
239655/1048576], [763943/524288, 763943/524288], [581121/524288, 1162243/
1048576]]]], [[6, 3, 7, 7, 5], [v = 0, And(-2^(1/2) < u,u < -1), And(0 < x,x <
u^2-1), And(x < y,y < u^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [239655/1048576, 239655/1048576], [763943/
524288, 763943/524288], [3, 3]]]], [[6, 9, 7, 4, 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, 7, 1], [v = 0, 2^(1/2) < u, x = -1, And(0 < y,y < u^2), z < -(y+
1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-1, -1], [9/2, 9/2], [-4, -4]]]],
[[6, 11, 4, 7, 2], [v = 0, 2^(1/2) < u, x = -1, And(0 < y,y < u^2), z = -(y+1)
^(1/2)], [regular_chain, [[0, 0], [3, 3], [-1, -1], [9/2, 9/2], [-2459129/
1048576, -307391/131072]]]], [[6, 11, 4, 7, 3], [v = 0, 2^(1/2) < u, x = -1, 
And(0 < y,y < u^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[
0, 0], [3, 3], [-1, -1], [9/2, 9/2], [0, 0]]]], [[6, 11, 4, 7, 4], [v = 0, 2^(
1/2) < u, x = -1, And(0 < y,y < u^2), z = (y+1)^(1/2)], [regular_chain, [[0, 0
], [3, 3], [-1, -1], [9/2, 9/2], [307391/131072, 2459129/1048576]]]], [[6, 11,
4, 7, 5], [v = 0, 2^(1/2) < u, x = -1, And(0 < y,y < u^2), (y+1)^(1/2) < z], [
regular_chain, [[0, 0], [3, 3], [-1, -1], [9/2, 9/2], [4, 4]]]], [[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 < 2*u^2-2*v^2), z < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [243021/524288,
486043/1048576], [3555279/2097152, 3555279/2097152], [-3, -3]]]], [[7, 3, 8, 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^2-1 < y,y < 2*u^2-2*v^2), z = -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [243021/524288,
486043/1048576], [3555279/2097152, 3555279/2097152], [-1163761/1048576, -72735
/65536]]]], [[7, 3, 8, 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^2-1 < y,y < 2*u^2-2*v^2), And(-(y-u^2+
v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [243021/524288, 486043/1048576], [3555279/
2097152, 3555279/2097152], [0, 0]]]], [[7, 3, 8, 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^2-1 < y,y <
2*u^2-2*v^2), z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [243021/524288, 486043/1048576], [3555279/2097152, 
3555279/2097152], [72735/65536, 1163761/1048576]]]], [[7, 3, 8, 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^2-1 < y,y < 2*u^2-2*v^2), (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1/2,
1/2], [-343151/262144, -343151/262144], [243021/524288, 486043/1048576], [
3555279/2097152, 3555279/2097152], [3, 3]]]], [[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 = 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], [290131/262144, 
1160525/1048576], [-3, -3]]]], [[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 = 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], [290131/262144, 1160525/1048576], [-\
19417/16384, -1242687/1048576]]]], [[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 = u^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], [
290131/262144, 1160525/1048576], [0, 0]]]], [[7, 5, 7, 8, 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], [290131/262144, 
1160525/1048576], [1242687/1048576, 19417/16384]]]], [[7, 5, 7, 8, 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], [290131/
262144, 1160525/1048576], [3, 3]]]], [[8, 1, 4, 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, 4, 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, 4, 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, 1, 3, 1], [v = 1, And(-3^(1/2) <
u,u < -2^(1/2)), x < -u^2, And(x-u^2+2 < y,y < x), z = z], [regular_chain, [[1
, 1], [-6598195/4194304, -6598195/4194304], [-4, -4], [-4443207/1048576, -\
4443207/1048576], [0, 0]]]], [[8, 7, 2, 3, 1], [v = 1, And(-1 < u,u < 0), x =
u^2-2, And(u^2-2 < y,y < 2*u^2-2), z < -(y-u^2+2)^(1/2)], [regular_chain, [[1,
1], [-1/2, -1/2], [-7/4, -7/4], [-13/8, -13/8], [-2, -2]]]], [[8, 7, 2, 3, 2],
[v = 1, And(-1 < u,u < 0), x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), z = -(y-u^2+
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, 3, 3], [v = 1, And(-1 < u,u
< 0), x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), And(-(y-u^2+2)^(1/2) < z,z < (y-u
^2+2)^(1/2))], [regular_chain, [[1, 1], [-1/2, -1/2], [-7/4, -7/4], [-13/8, -\
13/8], [0, 0]]]], [[8, 7, 2, 3, 4], [v = 1, And(-1 < u,u < 0), x = u^2-2, And(
u^2-2 < y,y < 2*u^2-2), z = (y-u^2+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, 3, 5], [v = 1, And(-1 < u,u < 0), x = u^2-2, And(u^2-2 < y,y < 2*u^2-2),
(y-u^2+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, 2, 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, 2, 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,
2, 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, 1, 1], [v = 1, u
= 3^(1/2), x = 1, y < 0, z = z], [regular_chain, [[1, 1], [908093/524288, 
1816187/1048576], [1, 1], [-1, -1], [0, 0]]]], [[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 < -(y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1], [9, 9]
, [-5, -5]]]], [[9, 1, 4, 9, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2),
x = -1, u^2-v^2 < y, z = -(y+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [-1, -1], [9, 9], [-3315889/1048576, -207243/65536
]]]], [[9, 1, 4, 9, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -1, u
^2-v^2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [-1, -1], [9, 9], [0, 0]]]], [[9, 1, 4, 9
, 4], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -1, u^2-v^2 < y, z = (y
+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1
, -1], [9, 9], [207243/65536, 3315889/1048576]]]], [[9, 1, 4, 9, 5], [And(1 <
v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -1, u^2-v^2 < y, (y+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1], [9, 9]
, [5, 5]]]], [[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], [-7843787/8388608, -\
3921893/4194304], [-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], [-7843787/
8388608, -3921893/4194304], [-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], [-7843787/8388608, -\
3921893/4194304], [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], [-7843787/8388608, -\
3921893/4194304], [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], [-7843787/8388608, -3921893/4194304], [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 < x, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [-3,
-3], [0, 0]]]], [[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 = 0, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [2, 2], [0, 0], [0, 0]]]], [[9, 11, 10, 1,
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], [-1, -1], [0, 0]]]], [[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 < 0, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [2, 2], [-1, -1], [0, 0]]]], [[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 < -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1/2, 1/2], [11, 
11], [-5, -5]]]], [[9, 17, 7, 9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [1/2, 1/2], [11, 11], [-3397775/
1048576, -1698887/524288]]]], [[9, 17, 7, 9, 3], [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, And(-(y-x)^(1/2) < z,z < (y-
x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1/2,
1/2], [11, 11], [0, 0]]]], [[9, 17, 7, 9, 4], [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 = (y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1/2, 1/2], [11, 
11], [1698887/524288, 3397775/1048576]]]], [[9, 17, 7, 9, 5], [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, (y-x)^(1/2) < z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1/2, 1/2], [
11, 11], [5, 5]]]], [[10, 5, 11, 3, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v)
, 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [2, 2], [1, 1], [0, 0]]]], [[
10, 7, 11, 7, 1], [v = 2^(1/2), And(-v < u,u < -1), 1 < x, And(u^2+x-1 < y,y <
x-u^2+3), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [-1265743/1048576, -1265743/1048576], [2, 2], [3, 3], [-2, -2]]]], [[10, 7,
11, 7, 2], [v = 2^(1/2), And(-v < u,u < -1), 1 < x, And(u^2+x-1 < y,y < x-u^2+
3), z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [2, 2], [3, 3], [-1, -1]]]], [[10, 7, 11,
7, 3], [v = 2^(1/2), And(-v < u,u < -1), 1 < x, And(u^2+x-1 < y,y < x-u^2+3),
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [3, 3], [0, 0]
]]], [[10, 7, 11, 7, 4], [v = 2^(1/2), And(-v < u,u < -1), 1 < x, And(u^2+x-1
< y,y < x-u^2+3), z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [3, 3], [1, 1]]]], [[
10, 7, 11, 7, 5], [v = 2^(1/2), And(-v < u,u < -1), 1 < x, And(u^2+x-1 < y,y <
x-u^2+3), (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[-1265743/1048576, -1265743/1048576], [2, 2], [3, 3], [2, 2]]]], [[10, 11, 9,
4, 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, 1, 1], [v = 2^(1/2), And(1 < u,u < v), x =
0, y < 0, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [0, 0], [-1, -1], [0, 0]]]], [[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(x-u
^2+v^2+1 < y,y < x), z = z], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [-4, -4], [-2226663/524288, -2226663/524288], [0, 0]]]], [[
11, 4, 8, 7, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = 1, 3 < y, z < -(y-1)^(1
/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [1, 1], [4,
4], [-3, -3]]]], [[11, 4, 8, 7, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = 1, 3
< y, z = -(y-1)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/
65536], [1, 1], [4, 4], [-1816187/1048576, -3632373/2097152]]]], [[11, 4, 8, 7
, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = 1, 3 < y, 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, 7, 4], [2^(1/2) < v, u =
-(v^2+1)^(1/2), x = 1, 3 < y, z = (y-1)^(1/2)], [regular_chain, [[3, 3], [-\
3315889/1048576, -207243/65536], [1, 1], [4, 4], [908093/524288, 1816187/
1048576]]]], [[11, 4, 8, 7, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = 1, 3 < y
, (y-1)^(1/2) < z], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536]
, [1, 1], [4, 4], [3, 3]]]], [[11, 8, 9, 7, 1], [2^(1/2) < v, u = -(v^2-1)^(1/
2), 1 < x, x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [2, 2], [5, 5], [-3, -3]]]], [[11, 8, 9, 7, 2], [
2^(1/2) < v, u = -(v^2-1)^(1/2), 1 < x, x+2 < y, z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [2, 2], [5, 5],
[-1816187/1048576, -3632373/2097152]]]], [[11, 8, 9, 7, 3], [2^(1/2) < v, u =
-(v^2-1)^(1/2), 1 < x, x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [2, 2], [5, 5],
[-1/4194304, -1/4194304]]]], [[11, 8, 9, 7, 4], [2^(1/2) < v, u = -(v^2-1)^(1/
2), 1 < x, x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [2, 2], [5, 5], [908093/524288, 1816187/1048576]]
]], [[11, 8, 9, 7, 5], [2^(1/2) < v, u = -(v^2-1)^(1/2), 1 < x, x+2 < y, (y-x)
^(1/2) < z], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [
2, 2], [5, 5], [3, 3]]]], [[11, 10, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 1, 4, 1], [2^
(1/2) < v, u = v, x < -1, y = x+1, 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 = x+1, 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 = x+1, 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 = x+1, 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 = x+1, 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 < -2, z = z], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [
-2, -2], [-3, -3], [0, 0]]]], [[11, 21, 10, 1, 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],
[-1, -1], [0, 0]]]], [[1, 2, 3, 2, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(
-3 < x,x < -1), y = x-1, z = z], [regular_chain, [[-3, -3], [-1738867/524288,
-3477733/1048576], [-2, -2], [-3, -3], [0, 0]]]], [[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 < 0, z = z], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [2, 2], [-1, -\
1], [0, 0]]]], [[1, 7, 11, 8, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2))
, 1 < x, y = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3],
[-6111549/2097152, -6111549/2097152], [2, 2], [919433/262144, 3677733/1048576]
, [-3, -3]]]], [[1, 7, 11, 8, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2))
, 1 < x, y = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3],
[-6111549/2097152, -6111549/2097152], [2, 2], [919433/262144, 3677733/1048576]
, [-1287385/1048576, -160923/131072]]]], [[1, 7, 11, 8, 3], [v < -2^(1/2), And
(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = x-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], [2, 2], [919433/262144, 3677733/1048576], [0, 0]]]], [[1, 7,
11, 8, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = x-u^2+v^2+
1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [2, 2], [919433/262144, 3677733/1048576], [160923/131072, 
1287385/1048576]]]], [[1, 7, 11, 8, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^
(1/2)), 1 < x, y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3,
-3], [-6111549/2097152, -6111549/2097152], [2, 2], [919433/262144, 3677733/
1048576], [3, 3]]]], [[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(1 < y,y < -u^2+v^2+2), z < -(y-1)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [1, 1], [
4727339/2097152, 4727339/2097152], [-3, -3]]]], [[1, 9, 10, 7, 2], [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 = -(y-1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [1, 1], [4727339/2097152, 4727339/2097152], [-587149/524288
, -1174297/1048576]]]], [[1, 9, 10, 7, 3], [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), And(-(y-1)^(1/2) < z,
z < (y-1)^(1/2))], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [1, 1], [4727339/2097152, 4727339/2097152], [0, 0]]]], [[1, 9, 10, 7
, 4], [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 = (y-1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [1, 1], [4727339/2097152, 4727339/2097152], [
1174297/1048576, 587149/524288]]]], [[1, 9, 10, 7, 5], [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), (y-1)^(1
/2) < z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [
1, 1], [4727339/2097152, 4727339/2097152], [3, 3]]]], [[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(x < y
,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-391287/524288, -391287/524288], [-1048577/2097152
, -1048577/2097152], [-2, -2]]]], [[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(x < y,y < u^2-v^2+x+1), z
= -(y-x)^(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, 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(x < y,y < u^2-v^2+x+1), 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-391287/524288, -391287/524288], [-1048577/2097152
, -1048577/2097152], [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(x < y,y < u^2-v^2+x+1), z =
(y-x)^(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, 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(x < y,y < u^2-v^2+x+1), (y-x)^(1/
2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-\
391287/524288, -391287/524288], [-1048577/2097152, -1048577/2097152], [2, 2]]]
], [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain
, [[-3, -3], [403851/131072, 403851/131072], [-1579769/2097152, -1579769/
2097152], [388037/1048576, 388037/1048576], [-3, -3]]]], [[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(0 <
y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [388037/1048576,
388037/1048576], [-1111369/1048576, -138921/131072]]]], [[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(0 <
y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
-3, -3], [403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152],
[388037/1048576, 388037/1048576], [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(0 < y,y < u^2-v^
2+x+1), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-1579769/2097152, -1579769/2097152], [388037/1048576, 388037/1048576
], [138921/131072, 1111369/1048576]]]], [[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(0 < y,y < u^2-v^2+x+
1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072
], [-1579769/2097152, -1579769/2097152], [388037/1048576, 388037/1048576], [3,
3]]]], [[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 = x-u^2+v^2+1, z = z], [regular_chain, [[-3, -3], [5, 5], [-9, -9]
, [-24, -24], [0, 0]]]], [[2, 1, 8, 8, 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, 8, 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, 8, 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, 8,
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, 8, 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, 2, 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, 12, 1, 1, 1], [v = -2^(1/2), u = 1, x <
-2, y < x, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1]
, [-3, -3], [-4, -4], [0, 0]]]], [[2, 16, 2, 1, 1], [v = -2^(1/2), u = 3^(1/2)
, x = -2, y < -2, z = z], [regular_chain, [[-1482911/1048576, -741455/524288],
[908093/524288, 1816187/1048576], [-2, -2], [-3, -3], [0, 0]]]], [[2, 17, 11,
7, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, And(x < y,y < u^2+x-1), z
< -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339
/2097152, 3913339/2097152], [2, 2], [6796923/2097152, 6796923/2097152], [-3, -\
3]]]], [[2, 17, 11, 7, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, And(x
< y,y < u^2+x-1), z = -(y-x)^(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, 7, 3], [v =
-2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, And(x < y,y < u^2+x-1), And(-(y-x)^(1
/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288]
, [3913339/2097152, 3913339/2097152], [2, 2], [6796923/2097152, 6796923/
2097152], [0, 0]]]], [[2, 17, 11, 7, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2)
, 1 < x, And(x < y,y < u^2+x-1), z = (y-x)^(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, 7, 5
], [v = -2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, And(x < y,y < u^2+x-1), (y-x)
^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [2, 2], [6796923/2097152, 6796923/2097152], [3, 3]]
]], [[3, 4, 2, 5, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -2, 0
< y, z < -(y+2)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-410915/262144, -3287319/2097152], [-2, -2], [1, 1], [-3, -3]]]], [[3, 4, 2,
5, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -2, 0 < y, z = -(y+2
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/
262144, -3287319/2097152], [-2, -2], [1, 1], [-1816187/1048576, -3632373/
2097152]]]], [[3, 4, 2, 5, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2),
x = -2, 0 < y, And(-(y+2)^(1/2) < z,z < (y+2)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-2, -\
2], [1, 1], [-1/4194304, -1/4194304]]]], [[3, 4, 2, 5, 4], [And(-2^(1/2) < v,v
< -1), u = -(v^2+1)^(1/2), x = -2, 0 < y, z = (y+2)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-2,
-2], [1, 1], [908093/524288, 1816187/1048576]]]], [[3, 4, 2, 5, 5], [And(-2^(1
/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -2, 0 < y, (y+2)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-2, -2], [1, 1], [3, 3]]]], [[3, 6, 1, 2, 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, 2, 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, 2, 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, 2, 2, 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, 2, 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, 2, 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, 11, 11, 8, 1], [And(-2^(1/2) < v
,v < -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = x-u^2+v^2+1, z < -(-u^2+v^
2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [2, 2], [935983/262144, 3743933/1048576], [-3, -3]]]
], [[3, 11, 11, 8, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v
), 1 < x, y = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [2, 2],
[935983/262144, 3743933/1048576], [-1314069/1048576, -328517/262144]]]], [[3,
11, 11, 8, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x
, y = x-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], [2, 2], [935983/262144, 3743933/1048576], [0, 0]]]], [[3, 11, 11, 8,
4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = x-u^2
+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [2, 2], [935983/262144, 3743933/
1048576], [328517/262144, 1314069/1048576]]]], [[3, 11, 11, 8, 5], [And(-2^(1/
2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = x-u^2+v^2+1, (-u^2+v
^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [2, 2], [935983/262144, 3743933/1048576], [3,
3]]]], [[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 < -(u^2-v^2+1)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288,
898327/524288], [-3647693/2097152, -3647693/2097152], [387635/524288, 775271/
1048576], [-3, -3]]]], [[3, 15, 3, 8, 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], [
387635/524288, 775271/1048576], [-3301741/2097152, -825435/524288]]]], [[3, 15
, 3, 8, 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], [387635/
524288, 775271/1048576], [0, 0]]]], [[3, 15, 3, 8, 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], [387635/524288, 775271/1048576], [825435/524288, 1650871/1048576]]]]
, [[3, 15, 3, 8, 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], [387635/524288, 775271/
1048576], [3, 3]]]], [[3, 16, 9, 7, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)
^(1/2), 1 < x, And(x < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [2, 2], [
7/2, 7/2], [-3, -3]]]], [[3, 16, 9, 7, 2], [And(-2^(1/2) < v,v < -1), u = (v^2
+2)^(1/2), 1 < x, And(x < y,y < x+3), z = -(y-x)^(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, 7, 3], [And(-2^(
1/2) < v,v < -1), u = (v^2+2)^(1/2), 1 < x, And(x < y,y < x+3), And(-(y-x)^(1/
2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [121853/65536, 1949649/1048576], [2, 2], [7/2, 7/2], [0, 0]]]], [[3, 16, 9,
7, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), 1 < x, And(x < y,y < x+3)
, z = (y-x)^(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, 7, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2),
1 < x, And(x < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [2, 2], [7/2, 7/2
], [3, 3]]]], [[4, 3, 5, 2, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-\
1 < x,x < 0), y = x-u^2+2, z = z], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [-1/2, -1/2], [-32707021/33554432, -8176755/
8388608], [0, 0]]]], [[4, 5, 4, 1, 1], [v = -1, And(-2^(1/2) < u,u < -1), x =
-1, y < -1, z = z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-1, -1], [-2, -2], [0, 0]]]], [[4, 11, 5, 5, 1], [v = -1, And(1 < u
,u < 2^(1/2)), And(-1 < x,x < u^2-2), And(x-u^2+2 < y,y < 0), z < -(y-x)^(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(
x-u^2+2 < y,y < 0), z = -(y-x)^(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(x-u^2+2 < y
,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x-u^2+2 < y,y < 0), z = (y-x)^(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(x-u^2+2 < y,y < 0), (y-x)^(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 = -1, z < 0],
[regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1, -1], [-1,
-1], [-1, -1]]]], [[4, 13, 4, 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, 4, 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]]]], [[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 < -(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, 8, 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, 8,
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, 8, 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, 8, 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, 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(0 < y,y < u^2-v^2+
x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [-1/2, -1/2], [1029453/1048576, 1029453/1048576], [-3, -3]]]],
[[5, 3, 5, 7, 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 < u^2-v^2+x+1), z = -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1/2, -1/2],
[1029453/1048576, 1029453/1048576], [-159551/131072, -1276407/1048576]]]], [[5
, 3, 5, 7, 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 < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^
(1/2))], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1/
2, -1/2], [1029453/1048576, 1029453/1048576], [0, 0]]]], [[5, 3, 5, 7, 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 < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2
], [-343151/262144, -343151/262144], [-1/2, -1/2], [1029453/1048576, 1029453/
1048576], [1276407/1048576, 159551/131072]]]], [[5, 3, 5, 7, 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 < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [-1/2, -1/2], [1029453/1048576, 1029453/1048576], [3,
3]]]], [[5, 12, 4, 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, 4, 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, 4, 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, 1, 3, 1], [v = 0, u < -2^(1/2), x < -u^2-1, And(x-u^2+1 < y,y <
x), z = z], [regular_chain, [[0, 0], [-3, -3], [-11, -11], [-15, -15], [0, 0]]
]], [[6, 4, 7, 3, 1], [v = 0, u = -1, And(0 < x,x < 1), And(0 < y,y < x), z =
z], [regular_chain, [[0, 0], [-1, -1], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[6,
6, 5, 7, 1], [v = 0, u = 0, And(0 < x,x < 1), x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[0, 0], [0, 0], [1/2, 1/2], [3, 3], [-3, -3]]]], [[6, 6, 5, 7,
2], [v = 0, u = 0, And(0 < x,x < 1), x+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[0, 0], [0, 0], [1/2, 1/2], [3, 3], [-3315889/2097152, -207243
/131072]]]], [[6, 6, 5, 7, 3], [v = 0, u = 0, And(0 < x,x < 1), x+1 < y, And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [0, 0], [1/2, 1/2]
, [3, 3], [0, 0]]]], [[6, 6, 5, 7, 4], [v = 0, u = 0, And(0 < x,x < 1), x+1 <
y, z = (y-x)^(1/2)], [regular_chain, [[0, 0], [0, 0], [1/2, 1/2], [3, 3], [
207243/131072, 1657945/1048576]]]], [[6, 6, 5, 7, 5], [v = 0, u = 0, And(0 < x
,x < 1), x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[0, 0], [0, 0], [1/2, 1/2
], [3, 3], [3, 3]]]], [[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 < 0), 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, 5, 2], [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 = -(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, 5, 3], [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), 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, 5, 4], [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 = (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, 5, 5], [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), (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, 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 < x, z = z], [regular_chain, [[1/2, 1/2], [1696631/2097152,
1696631/2097152], [-3, -3], [-4, -4], [0, 0]]]], [[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(0 < y,y < x-u^2+v^2+1), z = z], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [1534619/2097152, 1534619/2097152], [281267/2097152, 
281267/2097152], [0, 0]]]], [[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 = -u^2+3, z = z], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [1, 1], [550769/
1048576, 275385/524288], [0, 0]]]], [[8, 5, 9, 7, 1], [v = 1, And(-2^(1/2) < u
,u < -1), And(0 < x,x < 1), And(x-u^2+2 < y,y < u^2+x), z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [3/2
, 3/2], [-2, -2]]]], [[8, 5, 9, 7, 2], [v = 1, And(-2^(1/2) < u,u < -1), And(0
< x,x < 1), And(x-u^2+2 < y,y < u^2+x), z = -(y-x)^(1/2)], [regular_chain, [[1
, 1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]
], [[8, 5, 9, 7, 3], [v = 1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), And(x
-u^2+2 < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[1, 1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [3/2, 3/2], [0, 0]]
]], [[8, 5, 9, 7, 4], [v = 1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), And(
x-u^2+2 < y,y < u^2+x), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[8, 5, 9, 7, 5
], [v = 1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), And(x-u^2+2 < y,y < u^2
+x), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[8, 11, 10, 9, 1], [v = 1, And(1
< u,u < 2^(1/2)), x = 1, u^2+1 < y, z < -(y-1)^(1/2)], [regular_chain, [[1, 1]
, [1265743/1048576, 1265743/1048576], [1, 1], [4, 4], [-3, -3]]]], [[8, 11, 10
, 9, 2], [v = 1, And(1 < u,u < 2^(1/2)), x = 1, u^2+1 < y, z = -(y-1)^(1/2)],
[regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1, 1], [4, 4], [
-1816187/1048576, -3632373/2097152]]]], [[8, 11, 10, 9, 3], [v = 1, And(1 < u,
u < 2^(1/2)), x = 1, u^2+1 < y, 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, 9, 4], [v = 1, And(1 < u,u < 2^(1/2)),
x = 1, u^2+1 < y, z = (y-1)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576,
1265743/1048576], [1, 1], [4, 4], [908093/524288, 1816187/1048576]]]], [[8, 11
, 10, 9, 5], [v = 1, And(1 < u,u < 2^(1/2)), x = 1, u^2+1 < y, (y-1)^(1/2) < z
], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1, 1], [4, 4]
, [3, 3]]]], [[8, 13, 10, 3, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 1,
And(0 < y,y < -u^2+3), z = z], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [1, 1], [275385/1048576, 275385/1048576], [0, 0]]]], [[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-1, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-2, -2], [-4, -4], [0, 0]]]], [[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-u^2+v^2+1, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [2, 2], [797593/524288, 1595187/1048576]
, [0, 0]]]], [[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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 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, 0
< y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [-4, -4], [1, 1], [-4, -4]]]], [[9, 15, 1, 9, 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, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [-4, -4], [1, 1], [-146543/65536, -\
2344687/1048576]]]], [[9, 15, 1, 9, 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, 0 < y, And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [-4, -4], [1, 1], [0, 0]]]], [[9, 15, 1, 9, 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, 0
< y, z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [-4, -4], [1, 1], [2344687/1048576, 146543/
65536]]]], [[9, 15, 1, 9, 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, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-4, -4], [
1, 1], [4, 4]]]], [[10, 1, 5, 7, 1], [v = 2^(1/2), u < -2, And(-1 < x,x < 0),
And(0 < y,y < u^2+x-1), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [-1/2, -1/2], [15/4, 15/4], [-4, -4]]]], [[10, 1,
5, 7, 2], [v = 2^(1/2), u < -2, And(-1 < x,x < 0), And(0 < y,y < u^2+x-1), z =
-(y-x)^(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,
7, 3], [v = 2^(1/2), u < -2, And(-1 < x,x < 0), And(0 < y,y < u^2+x-1), And(-(
y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [-1/2, -1/2], [15/4, 15/4], [0, 0]]]], [[10, 1, 5, 7, 4],
[v = 2^(1/2), u < -2, And(-1 < x,x < 0), And(0 < y,y < u^2+x-1), z = (y-x)^(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, 7, 5], [v =
2^(1/2), u < -2, And(-1 < x,x < 0), And(0 < y,y < u^2+x-1), (y-x)^(1/2) < z],
[regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1/2, -1/2], [15
/4, 15/4], [4, 4]]]], [[10, 3, 3, 3, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)
), And(-u^2+1 < x,x < -1), And(x-u^2+3 < y,y < x), z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-\
3651195/2097152, -3651195/2097152], [-8313323/4194304, -8313323/4194304], [0,
0]]]], [[10, 9, 2, 7, 1], [v = 2^(1/2), And(-1 < u,u < 0), x = u^2-3, 0 < y, z
< -(y-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2,
-1/2], [-11/4, -11/4], [1, 1], [-3, -3]]]], [[10, 9, 2, 7, 2], [v = 2^(1/2), 
And(-1 < u,u < 0), x = u^2-3, 0 < y, z = -(y-u^2+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, 7, 3], [v = 2^(1/2), And(-\
1 < u,u < 0), x = u^2-3, 0 < y, And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+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, 7, 4], [v = 2^(1/2), 
And(-1 < u,u < 0), x = u^2-3, 0 < y, z = (y-u^2+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, 7, 5], [v = 2^(1/2), And(-1 <
u,u < 0), x = u^2-3, 0 < y, (y-u^2+3)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1/2, -1/2], [-11/4, -11/4], [1, 1], [3, 3]]]], [[
10, 10, 9, 3, 1], [v = 2^(1/2), u = 0, 1 < x, And(0 < y,y < x-1), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [2, 2], [1/2, 1/2],
[0, 0]]]], [[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 < 3), z < -(
y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288
, 1816187/1048576], [1, 1], [2, 2], [-2, -2]]]], [[10, 16, 8, 5, 2], [v = 2^(1
/2), u = 3^(1/2), x = 1, And(1 < y,y < 3), z = -(y-1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [1, 1], [
2, 2], [-1, -1]]]], [[10, 16, 8, 5, 3], [v = 2^(1/2), u = 3^(1/2), x = 1, And(
1 < y,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], [2, 2], [
0, 0]]]], [[10, 16, 8, 5, 4], [v = 2^(1/2), u = 3^(1/2), x = 1, And(1 < y,y <
3), z = (y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
908093/524288, 1816187/1048576], [1, 1], [2, 2], [1, 1]]]], [[10, 16, 8, 5, 5]
, [v = 2^(1/2), u = 3^(1/2), x = 1, And(1 < y,y < 3), (y-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [1, 1], [2, 2], [2, 2]]]], [[10, 19, 5, 7, 1], [v = 2^(1/2), 2 < u,
And(-1 < x,x < 0), And(0 < y,y < u^2+x-1), z < -(y-x)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [3, 3], [-1/2, -1/2], [15/4, 15/4], [-4, -4
]]]], [[10, 19, 5, 7, 2], [v = 2^(1/2), 2 < u, And(-1 < x,x < 0), And(0 < y,y
< u^2+x-1), z = -(y-x)^(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, 7, 3], [v = 2^(1/2), 2 < u, And(-1 < x,x < 0), And(0
< y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [-1/2, -1/2], [15/4, 15/4], [0, 0]]]]
, [[10, 19, 5, 7, 4], [v = 2^(1/2), 2 < u, And(-1 < x,x < 0), And(0 < y,y < u^
2+x-1), z = (y-x)^(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, 7, 5], [v = 2^(1/2), 2 < u, And(-1 < x,x < 0), And(0 < y,y < u^2+x-1),
(y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [
-1/2, -1/2], [15/4, 15/4], [4, 4]]]], [[11, 2, 1, 1, 1], [2^(1/2) < v, u = -(v
^2+2)^(1/2), x < -3, y < x-1, z = z], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [-4, -4], [-6, -6], [0, 0]]]], [[11, 5, 9, 3, 1], [
2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(0 < y,y < x
), z = z], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1/2, 1/
2], [1/4, 1/4], [0, 0]]]], [[11, 7, 10, 2, 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, 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 =
z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1, -1], [-3,
-3], [0, 0]]]], [[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 = 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], [-3192025/4194304, -399003/524288], [-2, -2]]]], [[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 = 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], [-3192025/4194304
, -399003/524288], [-735979/1048576, -1471957/2097152]]]], [[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 = u^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],
[-3192025/4194304, -399003/524288], [-1/4194304, -1/4194304]]]], [[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 = 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], [-3192025/4194304
, -399003/524288], [367989/524288, 735979/1048576]]]], [[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 = 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], [-3192025/4194304, -399003
/524288], [2, 2]]]], [[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 < -(y-x)^(1/2
)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-915943/
524288, -915943/524288], [2, 2], [-3, -3]]]], [[11, 19, 3, 9, 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), u^2-v^
2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [-915943/524288, -915943/524288], [2, 2], [-4059505/2097152,
-16238019/8388608]]]], [[11, 19, 3, 9, 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), u^2-v^2+x+1 < y, And(-(y-x)^(
1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [3396811/1048576, 3396811
/1048576], [-915943/524288, -915943/524288], [2, 2], [-3/16777216, -3/16777216
]]]], [[11, 19, 3, 9, 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), u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-915943/524288, -\
915943/524288], [2, 2], [253719/131072, 2029753/1048576]]]], [[11, 19, 3, 9, 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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [3396811/
1048576, 3396811/1048576], [-915943/524288, -915943/524288], [2, 2], [3, 3]]]]
, [[11, 21, 1, 3, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(x-u
^2+v^2+1 < y,y < x), z = z], [regular_chain, [[3, 3], [5, 5], [-18, -18], [-51
/2, -51/2], [0, 0]]]], [[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 = -u^2+v^2-1, z < 0], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-195745/131072, -1565959/1048576], [-195745/
131072, -1565959/1048576], [-1, -1]]]], [[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 = -u^2+v^2-1, z = 0], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-195745/131072, -\
1565959/1048576], [-195745/131072, -1565959/1048576], [0, 0]]]], [[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 = -u^2+v^2
-1, 0 < z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-\
195745/131072, -1565959/1048576], [-195745/131072, -1565959/1048576], [1, 1]]]
], [[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 = 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, 6, 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, 6, 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, 6,
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, 6, 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, 10, 9, 1, 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], [-1, -1], [0, 0]]]], [[1, 12, 5, 7, 1], [v < -2^(1/2), u = (v^2-2)^(1/2)
, And(-1 < x,x < 0), And(0 < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[
-3, -3], [2774271/1048576, 10837/4096], [-1/2, -1/2], [5/4, 5/4], [-3, -3]]]],
[[1, 12, 5, 7, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-1 < x,x < 0), And(0
< y,y < x+3), z = -(y-x)^(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, 7, 3], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-1 < x,x < 0), And(0 < y
,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3],
[2774271/1048576, 10837/4096], [-1/2, -1/2], [5/4, 5/4], [0, 0]]]], [[1, 12, 5
, 7, 4], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+
3), z = (y-x)^(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, 7, 5
], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), (y
-x)^(1/2) < z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1/
2, -1/2], [5/4, 5/4], [3, 3]]]], [[1, 18, 4, 7, 1], [v < -2^(1/2), u = (v^2+1)
^(1/2), x = -1, 1 < y, z < -(y+1)^(1/2)], [regular_chain, [[-3, -3], [207243/
65536, 3315889/1048576], [-1, -1], [2, 2], [-3, -3]]]], [[1, 18, 4, 7, 2], [v
< -2^(1/2), u = (v^2+1)^(1/2), x = -1, 1 < y, z = -(y+1)^(1/2)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1, -1], [2, 2], [
-1816187/1048576, -3632373/2097152]]]], [[1, 18, 4, 7, 3], [v < -2^(1/2), u =
(v^2+1)^(1/2), x = -1, 1 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1, -1], [2, 2], [
-1/4194304, -1/4194304]]]], [[1, 18, 4, 7, 4], [v < -2^(1/2), u = (v^2+1)^(1/2
), x = -1, 1 < y, z = (y+1)^(1/2)], [regular_chain, [[-3, -3], [207243/65536,
3315889/1048576], [-1, -1], [2, 2], [908093/524288, 1816187/1048576]]]], [[1,
18, 4, 7, 5], [v < -2^(1/2), u = (v^2+1)^(1/2), x = -1, 1 < y, (y+1)^(1/2) < z
], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1, -1], [2, 2
], [3, 3]]]], [[1, 20, 2, 7, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -3, 0 <
y, z < -(y+3)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [-3, -3], [1, 1], [-3, -3]]]], [[1, 20, 2, 7, 2], [v < -2^(1/2), u =
(v^2+2)^(1/2), x = -3, 0 < y, z = -(y+3)^(1/2)], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [-3, -3], [1, 1], [-2, -2]]]], [[1, 20, 2, 7
, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -3, 0 < y, And(-(y+3)^(1/2) < z,z
< (y+3)^(1/2))], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288],
[-3, -3], [1, 1], [0, 0]]]], [[1, 20, 2, 7, 4], [v < -2^(1/2), u = (v^2+2)^(1/
2), x = -3, 0 < y, z = (y+3)^(1/2)], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [-3, -3], [1, 1], [2, 2]]]], [[1, 20, 2, 7, 5], [v <
-2^(1/2), u = (v^2+2)^(1/2), x = -3, 0 < y, (y+3)^(1/2) < z], [regular_chain,
[[-3, -3], [3477733/1048576, 1738867/524288], [-3, -3], [1, 1], [3, 3]]]], [[2
, 2, 7, 2, 1], [v = -2^(1/2), u = -2, And(0 < x,x < 1), y = x-1, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [1/2, 1/2], [-1/
2, -1/2], [0, 0]]]], [[2, 4, 4, 7, 1], [v = -2^(1/2), u = -3^(1/2), x = -1, 1
< y, z < -(y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
-1816187/1048576, -3632373/2097152], [-1, -1], [2, 2], [-3, -3]]]], [[2, 4, 4,
7, 2], [v = -2^(1/2), u = -3^(1/2), x = -1, 1 < y, z = -(y+1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [2, 2], [-1816187/1048576, -3632373/2097152]]]], [
[2, 4, 4, 7, 3], [v = -2^(1/2), u = -3^(1/2), x = -1, 1 < y, 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], [-1/4194304, -1/4194304]
]]], [[2, 4, 4, 7, 4], [v = -2^(1/2), u = -3^(1/2), x = -1, 1 < y, z = (y+1)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576,
-3632373/2097152], [-1, -1], [2, 2], [908093/524288, 1816187/1048576]]]], [[2,
4, 4, 7, 5], [v = -2^(1/2), u = -3^(1/2), x = -1, 1 < y, (y+1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [2, 2], [3, 3]]]], [[2, 7, 7, 2, 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, 2, 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, 2, 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, 5, 8, 1], [v = -2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), y =
x-u^2+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, 8, 2]
, [v = -2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), y = x-u^2+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,
8, 3], [v = -2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), y = x-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], [-1/2, -1/2], [9/4, 9/4], [-1/4194304, -1/
4194304]]]], [[2, 9, 5, 8, 4], [v = -2^(1/2), And(-1 < u,u < 0), And(-1 < x,x
< 0), y = x-u^2+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, 8, 5], [v = -2^(1/2), And(-1 < u,u < 0), And(-\
1 < x,x < 0), y = x-u^2+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, 3, 1], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1), And
(x < y,y < u^2+x-1), z < -(y-x)^(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, 3, 2], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1), And(x < y,y
< u^2+x-1), z = -(y-x)^(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, 3, 3], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -\
1), And(x < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [v = -2^(1/2), And(1 < u,u < -v), And(
u^2-3 < x,x < -1), And(x < y,y < u^2+x-1), z = (y-x)^(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, 3, 5], [v = -2^(1/2), And(1 < u,u
< -v), And(u^2-3 < x,x < -1), And(x < y,y < u^2+x-1), (y-x)^(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, 3, 7, 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-1), z < -(y-x)^(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, 7, 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-1), z = -(y-x)^(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, 7, 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-1),
And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7,
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-1), z = (y-x)^(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, 7, 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-1), (y-x)^(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, 7, 3, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(0 < x,x < 1),
And(x-u^2+v^2+1 < y,y < 0), z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [1/2, 1/2], [-6336433/2097152, -6336433/2097152],
[0, 0]]]], [[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 = z], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1],
[-775271/524288, -1550541/1048576], [0, 0]]]], [[3, 7, 4, 9, 1], [And(-2^(1/2)
< v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -1, -u^2+v^2 < y, z < -(y+1)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-1, -1], [2, 2], [-3, -3]]]], [[3, 7, 4, 9, 2], [
And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -1, -u^2+v^2 < y,
z = -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-1, -1], [2, 2], [-1816187/1048576, -\
3632373/2097152]]]], [[3, 7, 4, 9, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u
< -(v^2-1)^(1/2)), x = -1, -u^2+v^2 < y, 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], [-1/4194304, -1/4194304]]]], [[3, 7, 4, 9,
4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -1, -u^2+v^2
< y, z = (y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-3949363/4194304, -3949363/4194304], [-1, -1], [2, 2], [908093/524288, 
1816187/1048576]]]], [[3, 7, 4, 9, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u
< -(v^2-1)^(1/2)), x = -1, -u^2+v^2 < y, (y+1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1,
-1], [2, 2], [3, 3]]]], [[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 = x-u^2+v^2+1,
z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [0, 0], [-1812519/1048576, -1812519/1048576], [763943/1048576, 95493/131072
], [-3, -3]]]], [[3, 9, 3, 8, 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-u^2+v^2+1, z = -(-u
^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0
], [-1812519/1048576, -1812519/1048576], [763943/1048576, 95493/131072], [-\
410915/262144, -3287319/2097152]]]], [[3, 9, 3, 8, 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-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], [-1812519/
1048576, -1812519/1048576], [763943/1048576, 95493/131072], [-1/4194304, -1/
4194304]]]], [[3, 9, 3, 8, 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 = x-u^2+v^2+1, z = (-u^2+v^
2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-\
1812519/1048576, -1812519/1048576], [763943/1048576, 95493/131072], [1643659/
1048576, 410915/262144]]]], [[3, 9, 3, 8, 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 = x-u^2+v^2
+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [763943/1048576, 95493
/131072], [3, 3]]]], [[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 < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [7909297/2097152
, 7909297/2097152], [12912521/1048576, 6456261/524288], [-4, -4]]]], [[3, 17,
9, 8, 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], [
12912521/1048576, 6456261/524288], [-1532401/524288, -24518415/8388608]]]], [[
3, 17, 9, 8, 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], [12912521/1048576, 6456261/524288], [-7/16777216, -\
7/16777216]]]], [[3, 17, 9, 8, 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], [12912521/1048576, 6456261/524288], [3064801/1048576, 
1532401/524288]]]], [[3, 17, 9, 8, 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], [12912521/1048576, 6456261/524288], [4, 4]]]], [[4, 2, 4,
7, 1], [v = -1, u = -3^(1/2), x = -1, And(0 < y,y < 2), z < -(y+1)^(1/2)], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-1, -1], [1,
1], [-3, -3]]]], [[4, 2, 4, 7, 2], [v = -1, u = -3^(1/2), x = -1, And(0 < y,y
< 2), z = -(y+1)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [1, 1], [-1482911/1048576, -741455/524288]]]], [[4
, 2, 4, 7, 3], [v = -1, u = -3^(1/2), x = -1, And(0 < y,y < 2), And(-(y+1)^(1/
2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [1, 1], [0, 0]]]], [[4, 2, 4, 7, 4], [v = -1, u =
-3^(1/2), x = -1, And(0 < y,y < 2), z = (y+1)^(1/2)], [regular_chain, [[-1, -1
], [-1816187/1048576, -3632373/2097152], [-1, -1], [1, 1], [741455/524288, 
1482911/1048576]]]], [[4, 2, 4, 7, 5], [v = -1, u = -3^(1/2), x = -1, And(0 <
y,y < 2), (y+1)^(1/2) < z], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [1, 1], [3, 3]]]], [[4, 6, 2, 4, 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, 4, 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,
4, 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, 4, 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, 4, 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, 3,
1], [v = -1, u = 0, And(-2 < x,x < -1), And(x < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [-3/2, -3/2], [-3/4, -3/4], [-2, -2]]]], [[4
, 8, 3, 3, 2], [v = -1, u = 0, And(-2 < x,x < -1), And(x < y,y < 0), z = -(y-x
)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-3/2, -3/2], [-3/4, -3/4], [-\
1816187/2097152, -3632373/4194304]]]], [[4, 8, 3, 3, 3], [v = -1, u = 0, And(-\
2 < x,x < -1), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1, -1], [0, 0], [-3/2, -3/2], [-3/4, -3/4], [-1/8388608, -1/
8388608]]]], [[4, 8, 3, 3, 4], [v = -1, u = 0, And(-2 < x,x < -1), And(x < y,y
< 0), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-3/2, -3/2], [-3/4
, -3/4], [908093/1048576, 454047/524288]]]], [[4, 8, 3, 3, 5], [v = -1, u = 0,
And(-2 < x,x < -1), And(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1,
-1], [0, 0], [-3/2, -3/2], [-3/4, -3/4], [2, 2]]]], [[4, 14, 2, 5, 1], [v = -1
, u = 3^(1/2), x = -3, And(-3 < y,y < 0), z < -(y+3)^(1/2)], [regular_chain, [
[-1, -1], [908093/524288, 1816187/1048576], [-3, -3], [-3/2, -3/2], [-3, -3]]]
], [[4, 14, 2, 5, 2], [v = -1, u = 3^(1/2), x = -3, And(-3 < y,y < 0), z = -(y
+3)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-3,
-3], [-3/2, -3/2], [-1284239/1048576, -642119/524288]]]], [[4, 14, 2, 5, 3], [
v = -1, u = 3^(1/2), x = -3, And(-3 < y,y < 0), And(-(y+3)^(1/2) < z,z < (y+3)
^(1/2))], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-3, -3
], [-3/2, -3/2], [0, 0]]]], [[4, 14, 2, 5, 4], [v = -1, u = 3^(1/2), x = -3, 
And(-3 < y,y < 0), z = (y+3)^(1/2)], [regular_chain, [[-1, -1], [908093/524288
, 1816187/1048576], [-3, -3], [-3/2, -3/2], [642119/524288, 1284239/1048576]]]
], [[4, 14, 2, 5, 5], [v = -1, u = 3^(1/2), x = -3, And(-3 < y,y < 0), (y+3)^(
1/2) < z], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-3, -\
3], [-3/2, -3/2], [3, 3]]]], [[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 < -(y+1)^(1/2)], [regular_chain, [[-1/2
, -1/2], [-146543/131072, -1172343/1048576], [-1, -1], [2, 2], [-3, -3]]]], [[
5, 4, 4, 7, 2], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -1, 1 < y, z = -(y
+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576],
[-1, -1], [2, 2], [-1816187/1048576, -3632373/2097152]]]], [[5, 4, 4, 7, 3], [
And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -1, 1 < y, 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], [-1/4194304, -1/4194304]]]], [[5, 4, 4, 7, 4], [
And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -1, 1 < y, z = (y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-1, -1], [2
, 2], [908093/524288, 1816187/1048576]]]], [[5, 4, 4, 7, 5], [And(-1 < v,v < 0
), u = -(v^2+1)^(1/2), x = -1, 1 < y, (y+1)^(1/2) < z], [regular_chain, [[-1/2
, -1/2], [-146543/131072, -1172343/1048576], [-1, -1], [2, 2], [3, 3]]]], [[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 = 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, 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
= 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, 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 = 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, 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
= 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, 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 = 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, 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 = z], [regular_chain,
[[-1/2, -1/2], [343151/262144, 343151/262144], [0, 0], [-2, -2], [0, 0]]]], [[
6, 1, 10, 5, 1], [v = 0, u < -2^(1/2), x = u^2-1, And(u^2-1 < y,y < 2*u^2), z
< -(y-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [8, 8], [13, 13], [-4,
-4]]]], [[6, 1, 10, 5, 2], [v = 0, u < -2^(1/2), x = u^2-1, And(u^2-1 < y,y <
2*u^2), z = -(y-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [8, 8], [13,
13], [-146543/65536, -2344687/1048576]]]], [[6, 1, 10, 5, 3], [v = 0, u < -2^(
1/2), x = u^2-1, And(u^2-1 < y,y < 2*u^2), And(-(y-u^2+1)^(1/2) < z,z < (y-u^2
+1)^(1/2))], [regular_chain, [[0, 0], [-3, -3], [8, 8], [13, 13], [0, 0]]]], [
[6, 1, 10, 5, 4], [v = 0, u < -2^(1/2), x = u^2-1, And(u^2-1 < y,y < 2*u^2), z
= (y-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [8, 8], [13, 13], [
2344687/1048576, 146543/65536]]]], [[6, 1, 10, 5, 5], [v = 0, u < -2^(1/2), x
= u^2-1, And(u^2-1 < y,y < 2*u^2), (y-u^2+1)^(1/2) < z], [regular_chain, [[0,
0], [-3, -3], [8, 8], [13, 13], [4, 4]]]], [[6, 3, 7, 6, 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, 6, 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, 6, 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, 7, 5, 1], [v = 0, And(1 <
u,u < 2^(1/2)), And(0 < x,x < u^2-1), And(0 < y,y < x), 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 = -1, z < 0], [regular_chain, [[0, 0], [3, 3], [-1, -1], [
-1, -1], [-1, -1]]]], [[6, 11, 4, 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, 4, 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, 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 <
0, z = z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [
1534619/2097152, 1534619/2097152], [-1, -1], [0, 0]]]], [[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(x
-u^2+v^2+1 < y,y < u^2-v^2+x+1), z < -(y-x)^(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, 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(x-u^2+v^2+
1 < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = (y-x)^(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, 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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), (y-x)^(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, 3, 1], [v = 1, u < -3^(1/2), x = -1, And(-u^2+1 < y,y < -1), z =
z], [regular_chain, [[1, 1], [-3, -3], [-1, -1], [-9/2, -9/2], [0, 0]]]], [[8,
3, 1, 6, 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], [
-799673/524288, -3198691/2097152], [-3, -3]]]], [[8, 3, 1, 6, 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], [-799673/524288, -3198691/
2097152], [-1649549/1048576, -3299097/2097152]]]], [[8, 3, 1, 6, 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], [-\
799673/524288, -3198691/2097152], [-1/4194304, -1/4194304]]]], [[8, 3, 1, 6, 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], [-\
799673/524288, -3198691/2097152], [412387/262144, 1649549/1048576]]]], [[8, 3,
1, 6, 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], [-\
799673/524288, -3198691/2097152], [3, 3]]]], [[8, 7, 1, 9, 1], [v = 1, And(-1
< u,u < 0), x < u^2-2, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1/
2, -1/2], [-3, -3], [1, 1], [-3, -3]]]], [[8, 7, 1, 9, 2], [v = 1, And(-1 < u,
u < 0), x < u^2-2, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1/2, -\
1/2], [-3, -3], [1, 1], [-2, -2]]]], [[8, 7, 1, 9, 3], [v = 1, And(-1 < u,u <
0), x < u^2-2, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[1, 1], [-1/2, -1/2], [-3, -3], [1, 1], [0, 0]]]], [[8, 7, 1, 9, 4], [v = 1,
And(-1 < u,u < 0), x < u^2-2, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[1, 1]
, [-1/2, -1/2], [-3, -3], [1, 1], [2, 2]]]], [[8, 7, 1, 9, 5], [v = 1, And(-1
< u,u < 0), x < u^2-2, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-1/2
, -1/2], [-3, -3], [1, 1], [3, 3]]]], [[8, 9, 1, 3, 1], [v = 1, And(0 < u,u <
1), x < u^2-2, And(x < y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[1, 1
], [1/2, 1/2], [-3, -3], [-23/8, -23/8], [-2, -2]]]], [[8, 9, 1, 3, 2], [v = 1
, And(0 < u,u < 1), x < u^2-2, And(x < y,y < u^2+x), z = -(y-x)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [-23/8, -23/8], [-46341/131072,
-370727/1048576]]]], [[8, 9, 1, 3, 3], [v = 1, And(0 < u,u < 1), x < u^2-2, 
And(x < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[1, 1], [1/2, 1/2], [-3, -3], [-23/8, -23/8], [0, 0]]]], [[8, 9, 1, 3, 4], [v
= 1, And(0 < u,u < 1), x < u^2-2, And(x < y,y < u^2+x), z = (y-x)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [-23/8, -23/8], [370727/1048576,
46341/131072]]]], [[8, 9, 1, 3, 5], [v = 1, And(0 < u,u < 1), x < u^2-2, And(x
< y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2], [-3, -3
], [-23/8, -23/8], [2, 2]]]], [[8, 14, 7, 9, 1], [v = 1, u = 3^(1/2), And(0 <
x,x < 1), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [908093/524288,
1816187/1048576], [1/2, 1/2], [5, 5], [-4, -4]]]], [[8, 14, 7, 9, 2], [v = 1,
u = 3^(1/2), And(0 < x,x < 1), x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[1
, 1], [908093/524288, 1816187/1048576], [1/2, 1/2], [5, 5], [-1112183/524288,
-2224365/1048576]]]], [[8, 14, 7, 9, 3], [v = 1, u = 3^(1/2), And(0 < x,x < 1)
, x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [
908093/524288, 1816187/1048576], [1/2, 1/2], [5, 5], [0, 0]]]], [[8, 14, 7, 9,
4], [v = 1, u = 3^(1/2), And(0 < x,x < 1), x+3 < y, z = (y-x)^(1/2)], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [1/2, 1/2], [5, 5],
[2224365/1048576, 1112183/524288]]]], [[8, 14, 7, 9, 5], [v = 1, u = 3^(1/2),
And(0 < x,x < 1), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [908093/
524288, 1816187/1048576], [1/2, 1/2], [5, 5], [4, 4]]]], [[9, 1, 5, 3, 1], [
And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(x-u^2+v^2+1
< y,y < x), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3,
-3], [-1/2, -1/2], [-7909297/2097152, -7909297/2097152], [0, 0]]]], [[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 < -u^2+v^2-1, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-5818805/4194304, -5818805/4194304], [-1538813/1048576, -384703/262144], [-3,
-3], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
2695357/2097152, -2695357/2097152], [-1347679/1048576, -673839/524288], [-1, -\
1]]]], [[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 = x, z = 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2695357/
2097152, -2695357/2097152], [-1347679/1048576, -673839/524288], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/
2097152], [-1347679/1048576, -673839/524288], [1, 1]]]], [[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 <
0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [2, 2]
, [-1, -1], [0, 0]]]], [[9, 11, 10, 4, 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, 4, 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, 4, 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, 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(1 < y,y < u^2-v^2+2),
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, 7, 2], [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 = -(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, 7, 3], [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), 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, 7, 4], [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 = (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, 7, 5], [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), (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, 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 = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [3, 3], [1, 1], [-7, -7], [0, 0]]]], [[10
, 5, 11, 2, 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, 8, 1, 1, 1], [v = 2^(1/2), u = -1,
x < -2, y < x, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1,
-1], [-3, -3], [-4, -4], [0, 0]]]], [[10, 11, 9, 1, 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], [-1, -1], [0, 0]]]], [[10, 
13, 8, 2, 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, 2, 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, 2, 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, 9, 1], [2^(1/2) < v, u = -(v^
2+2)^(1/2), 1 < x, x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [2, 2], [6, 6], [-3, -3]]]], [[11, 2, 9, 9,
2], [2^(1/2) < v, u = -(v^2+2)^(1/2), 1 < x, x+3 < y, z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [2, 2], [6, 6], [
-2, -2]]]], [[11, 2, 9, 9, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), 1 < x, x+3 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [2, 2], [6, 6], [0, 0]]]], [[11, 2, 9, 9, 4], [2^(1
/2) < v, u = -(v^2+2)^(1/2), 1 < x, x+3 < y, z = (y-x)^(1/2)], [regular_chain,
[[3, 3], [-1738867/524288, -3477733/1048576], [2, 2], [6, 6], [2, 2]]]], [[11,
2, 9, 9, 5], [2^(1/2) < v, u = -(v^2+2)^(1/2), 1 < x, x+3 < y, (y-x)^(1/2) < z
], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [2, 2], [6, 6
], [3, 3]]]], [[11, 4, 9, 1, 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],
[-1, -1], [0, 0]]]], [[11, 8, 9, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 10, 7, 2, 1], [2^(1/2) < v
, u = -(v^2-2)^(1/2), And(0 < x,x < 1), y = x-1, z = z], [regular_chain, [[3,
3], [-5548543/2097152, -2774271/1048576], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]],
[[11, 16, 1, 1, 1], [2^(1/2) < v, u = v, x < -1, y < x, z = z], [regular_chain
, [[3, 3], [3, 3], [-2, -2], [-3, -3], [0, 0]]]], [[11, 18, 2, 2, 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,
2, 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, 2, 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, 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 < -(y-x)^(1/2)], [regular_chain, [[3, 3], [5, 5]
, [8, 8], [26, 26], [-6, -6]]]], [[11, 21, 9, 9, 2], [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 = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [5, 5], [8, 8], [26, 26], [-1112183/262144, -4448731/
1048576]]]], [[11, 21, 9, 9, 3], [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, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [5, 5], [8, 8], [26, 26], [0, 0]]]], [[11, 21, 9, 9, 4
], [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 = (y-x)^(1/2)], [regular_chain, [[3, 3], [5, 5], [8, 8], [26, 26], [4448731/
1048576, 1112183/262144]]]], [[11, 21, 9, 9, 5], [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, (y-x)^(1/2) < z], [regular_chain
, [[3, 3], [5, 5], [8, 8], [26, 26], [6, 6]]]], [[1, 2, 3, 1, 1], [v < -2^(1/2
), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y < x-1, z = z], [regular_chain, [[
-3, -3], [-1738867/524288, -3477733/1048576], [-2, -2], [-4, -4], [0, 0]]]], [
[1, 3, 10, 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+2 < y, z < -(y-1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [1, 1], [5, 5], [-3, -3]]]], [[1, 3, 10, 9, 2], [v
< -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y,
z = -(y-1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [1, 1], [5, 5], [-2, -2]]]], [[1, 3, 10, 9, 3], [v < -2^(1/2), And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y, 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, 9, 4], [v < -2^(1/2), And(-(v
^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y, z = (y-1)^(1/2)], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [1, 1], [5, 5]
, [2, 2]]]], [[1, 3, 10, 9, 5], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^
2+1)^(1/2)), x = 1, u^2-v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[-3, -3]
, [-3396811/1048576, -3396811/1048576], [1, 1], [5, 5], [3, 3]]]], [[1, 7, 11,
9, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, x-u^2+v^2+1 < y, z
< -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [2, 2], [5, 5], [-3, -3]]]], [[1, 7, 11, 9, 2], [v < -2^(1/2), And(v
< u,u < -(v^2-1)^(1/2)), 1 < x, x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [2, 2], [5, 5]
, [-1816187/1048576, -3632373/2097152]]]], [[1, 7, 11, 9, 3], [v < -2^(1/2), 
And(v < u,u < -(v^2-1)^(1/2)), 1 < x, x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[1, 7, 11, 9, 4], [v <
-2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, x-u^2+v^2+1 < y, z = (y-x)^(1/
2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [2, 2],
[5, 5], [908093/524288, 1816187/1048576]]]], [[1, 7, 11, 9, 5], [v < -2^(1/2),
And(v < u,u < -(v^2-1)^(1/2)), 1 < x, x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [2, 2], [5, 5]
, [3, 3]]]], [[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 = -u^2+v^2+2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain,
[[-3, -3], [-22960369/8388608, -22960369/8388608], [1, 1], [3678763/1048576, 
919691/262144], [-3, -3]]]], [[1, 9, 10, 8, 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], [
3678763/1048576, 919691/262144], [-3321417/2097152, -415177/262144]]]], [[1, 9
, 10, 8, 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], [
3678763/1048576, 919691/262144], [0, 0]]]], [[1, 9, 10, 8, 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], [3678763/1048576, 919691/262144], [415177/262144, 1660709/1048576]]
]], [[1, 9, 10, 8, 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], [3678763/1048576, 919691/
262144], [3, 3]]]], [[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 = x, z < 0], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [-391287/
524288, -391287/524288], [-1, -1]]]], [[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 = x, z = 0], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-391287/524288,
-391287/524288], [-391287/524288, -391287/524288], [0, 0]]]], [[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
= x, 0 < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-\
391287/524288, -391287/524288], [-391287/524288, -391287/524288], [1, 1]]]], [
[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [403851/131072
, 403851/131072], [-1579769/2097152, -1579769/2097152], [0, 0], [-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 = 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, 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 = 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, 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 = 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, 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 = 0, (-x)^(1/2) < z], [regular_chain, [[-3
, -3], [403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [
0, 0], [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(x-u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[-3,
-3], [5, 5], [-9, -9], [-33/2, -33/2], [0, 0]]]], [[2, 1, 8, 9, 1], [v = -2^(1
/2), u < -2, x = 1, u^2 < y, z < -(y-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [1, 1], [10, 10], [-4, -4]]]], [[2, 1, 8,
9, 2], [v = -2^(1/2), u < -2, x = 1, u^2 < y, z = -(y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [1, 1], [10, 10]
, [-3, -3]]]], [[2, 1, 8, 9, 3], [v = -2^(1/2), u < -2, x = 1, u^2 < y, 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, 9, 4], [v = -2^(1/2
), u < -2, x = 1, u^2 < y, z = (y-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [1, 1], [10, 10], [3, 3]]]], [[2, 1, 8, 9,
5], [v = -2^(1/2), u < -2, x = 1, u^2 < y, (y-1)^(1/2) < z], [regular_chain, [
[-1482911/1048576, -741455/524288], [-3, -3], [1, 1], [10, 10], [4, 4]]]], [[2
, 10, 4, 1, 1], [v = -2^(1/2), u = 0, x = -1, y < -2, z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [0, 0], [-1, -1], [-3, -3], [0, 0]]]], [[
2, 11, 11, 9, 1], [v = -2^(1/2), And(0 < u,u < 1), 1 < x, x-u^2+3 < y, z < -(y
-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [
2, 2], [6, 6], [-3, -3]]]], [[2, 11, 11, 9, 2], [v = -2^(1/2), And(0 < u,u < 1
), 1 < x, x-u^2+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [1/2, 1/2], [2, 2], [6, 6], [-2, -2]]]], [[2, 11, 11, 9, 3],
[v = -2^(1/2), And(0 < u,u < 1), 1 < x, x-u^2+3 < y, And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2]
, [2, 2], [6, 6], [0, 0]]]], [[2, 11, 11, 9, 4], [v = -2^(1/2), And(0 < u,u <
1), 1 < x, x-u^2+3 < y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [1/2, 1/2], [2, 2], [6, 6], [2, 2]]]], [[2, 11, 11, 9, 5], [v
= -2^(1/2), And(0 < u,u < 1), 1 < x, x-u^2+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [2, 2], [6, 6]
, [3, 3]]]], [[2, 16, 2, 2, 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, 2, 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, 2, 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, 17, 11, 8, 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], [4699771/1048576, 1174943/262144], [-3, -3]]]], [[2, 17, 11,
8, 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], [4699771/1048576, 1174943/262144], [-825991/524288
, -3303963/2097152]]]], [[2, 17, 11, 8, 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], [4699771/1048576, 1174943/262144], [-1/4194304, -1/4194304]]
]], [[2, 17, 11, 8, 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], [4699771/1048576, 1174943/262144],
[1651981/1048576, 825991/524288]]]], [[2, 17, 11, 8, 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],
[4699771/1048576, 1174943/262144], [3, 3]]]], [[3, 4, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 1, 1], [And(-2^(1/2)
< v,v < -1), u = v, x < -1, y < x, z = z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [-3, -3], [
0, 0]]]], [[3, 10, 2, 3, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x =
-2, And(-2 < y,y < 0), z < -(y+2)^(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(-2 < y,y < 0), z = -(y+2)^(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(-2 < y,y < 0), And(-(y+2)^(1/2) < z,z < (y+2)^(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(-2 < y,y < 0), z = (y+2)^(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(-2 < y,y < 0), (y+2)^(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, x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [2,
2], [5, 5], [-3, -3]]]], [[3, 11, 11, 9, 2], [And(-2^(1/2) < v,v < -1), And((v
^2-1)^(1/2) < u,u < -v), 1 < x, x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [2, 2], [5, 5], [-1816187/1048576, -3632373/2097152]]]], [[3, 11, 11
, 9, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, x-u^
2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [2, 2],
[5, 5], [-1/4194304, -1/4194304]]]], [[3, 11, 11, 9, 4], [And(-2^(1/2) < v,v <
-1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, x-u^2+v^2+1 < y, z = (y-x)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341
/1048576], [2, 2], [5, 5], [908093/524288, 1816187/1048576]]]], [[3, 11, 11, 9
, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, x-u^2+v
^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [2, 2], [5, 5], [3, 3]]]], [[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 < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-3647693/2097152, -3647693/2097152], [2, 2], [-3, -3]]]], [[3, 15, 3
, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-v^2+x+1 < y, And(-(y-x)^
(1/2) < z,z < (y-x)^(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, 9, 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), u
^2-v^2+x+1 < y, z = (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [898327/524288, 898327/524288], [-3647693/2097152, -\
3647693/2097152], [2, 2], [3, 3]]]], [[3, 16, 9, 8, 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, 8, 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, 8, 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, 8, 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, 8,
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, 1, 1], [v = -1, And(-3
^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), y < x-u^2+2, z = z], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2],
[-2, -2], [0, 0]]]], [[4, 5, 3, 9, 1], [v = -1, And(-2^(1/2) < u,u < -1), And(
-u^2 < x,x < -1), u^2+x < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [2,
2], [-3, -3]]]], [[4, 5, 3, 9, 2], [v = -1, And(-2^(1/2) < u,u < -1), And(-u^2
< x,x < -1), u^2+x < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [2,
2], [-7536399/4194304, -3768199/2097152]]]], [[4, 5, 3, 9, 3], [v = -1, And(-2
^(1/2) < u,u < -1), And(-u^2 < x,x < -1), u^2+x < y, And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576]
, [-1288231/1048576, -1288231/1048576], [2, 2], [-1/4194304, -1/4194304]]]], [
[4, 5, 3, 9, 4], [v = -1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), u^2+
x < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-1288231/1048576, -1288231/1048576], [2, 2], [1884099/
1048576, 471025/262144]]]], [[4, 5, 3, 9, 5], [v = -1, And(-2^(1/2) < u,u < -1
), And(-u^2 < x,x < -1), u^2+x < y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1
], [-1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576],
[2, 2], [3, 3]]]], [[4, 11, 5, 6, 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, 6, 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, 6, 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, 6
, 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, 6, 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,
5, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, And(-1 < y,y < 0), z < -
(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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(1 < y,y < u^2-v^2+2), z <
-(y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [1, 1], [47/8, 47/8],
[-4, -4]]]], [[5, 1, 8, 7, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = 1,
And(1 < y,y < u^2-v^2+2), 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, 7, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = 1, And(1 < y,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], [47/8, 47/8], [0, 0]]]], [[5, 1, 8, 7, 4], [And(-1 < v,v < 0),
u < -(v^2+2)^(1/2), x = 1, And(1 < y,y < u^2-v^2+2), 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, 7, 5], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2)
, x = 1, And(1 < y,y < u^2-v^2+2), (y-1)^(1/2) < z], [regular_chain, [[-1/2, -\
1/2], [-3, -3], [1, 1], [47/8, 47/8], [4, 4]]]], [[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 = 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, 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 = 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, 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 = 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, 6, 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, 6, 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, 5, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -1, And(-1 < y,y < 0),
z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y <
0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = x, z < 0], [regular_chain, [[0, 0], [-3, -3], [-11
, -11], [-11, -11], [-1, -1]]]], [[6, 1, 1, 4, 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, 4, 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, 7, 2, 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, 5, 6, 1], [v = 0, u
= 0, And(0 < x,x < 1), y = x+1, z < -1], [regular_chain, [[0, 0], [0, 0], [1/2
, 1/2], [3/2, 3/2], [-2, -2]]]], [[6, 6, 5, 6, 2], [v = 0, u = 0, And(0 < x,x
< 1), y = x+1, z = -1], [regular_chain, [[0, 0], [0, 0], [1/2, 1/2], [3/2, 3/2
], [-1, -1]]]], [[6, 6, 5, 6, 3], [v = 0, u = 0, And(0 < x,x < 1), y = x+1, 
And(-1 < z,z < 1)], [regular_chain, [[0, 0], [0, 0], [1/2, 1/2], [3/2, 3/2], [
0, 0]]]], [[6, 6, 5, 6, 4], [v = 0, u = 0, And(0 < x,x < 1), y = x+1, z = 1],
[regular_chain, [[0, 0], [0, 0], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[6, 6, 5,
6, 5], [v = 0, u = 0, And(0 < x,x < 1), y = x+1, 1 < z], [regular_chain, [[0,
0], [0, 0], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[7, 1, 2, 6, 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, 6, 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, 6, 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, 6, 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,
6, 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, 5, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = 1, And
(1 < y,y < 4), 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, 5, 2], [And(0 < v,v < 1), u = -(v^2
+2)^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 3], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = 1, And(1 < y,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], [5/2, 5/2], [0, 0]]]], [[7, 2, 8, 5, 4], [And(0 < v,v < 1), u
= -(v^2+2)^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 5], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = 1, And(1 < y
,y < 4), (y-1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1, 1],
[5/2, 5/2], [3, 3]]]], [[7, 6, 7, 3, 1], [And(0 < v,v < 1), u = -v, 1 < x, And
(0 < y,y < x), z = z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2], [1,
1], [0, 0]]]], [[7, 8, 7, 7, 1], [And(0 < v,v < 1), u = v, 1 < x, x+1 < y, z <
-(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [4, 4], [-3, -\
3]]]], [[7, 8, 7, 7, 2], [And(0 < v,v < 1), u = v, 1 < x, x+1 < y, z = -(y-x)^
(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [4, 4], [-1482911/
1048576, -741455/524288]]]], [[7, 8, 7, 7, 3], [And(0 < v,v < 1), u = v, 1 < x
, x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2]
, [1/2, 1/2], [2, 2], [4, 4], [0, 0]]]], [[7, 8, 7, 7, 4], [And(0 < v,v < 1),
u = v, 1 < x, x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/
2], [2, 2], [4, 4], [741455/524288, 1482911/1048576]]]], [[7, 8, 7, 7, 5], [
And(0 < v,v < 1), u = v, 1 < x, x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1
/2, 1/2], [1/2, 1/2], [2, 2], [4, 4], [3, 3]]]], [[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
= 0, z = z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [
1534619/2097152, 1534619/2097152], [0, 0], [0, 0]]]], [[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 = z], [
regular_chain, [[1/2, 1/2], [3, 3], [0, 0], [-31/8, -31/8], [0, 0]]]], [[8, 3,
10, 5, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1, And(-u^2+3 < y,y < 1
), 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 = u^2+x, z < u], [regular_chain, [[
1, 1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [1026087/524288, 
2052175/1048576], [-3, -3]]]], [[8, 5, 9, 8, 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], [1026087/524288, 2052175/1048576], [-\
1265743/1048576, -1265743/1048576]]]], [[8, 5, 9, 8, 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], [1026087/524288, 
2052175/1048576], [0, 0]]]], [[8, 5, 9, 8, 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], [1026087/524288, 2052175/1048576], [
1265743/1048576, 1265743/1048576]]]], [[8, 5, 9, 8, 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], [1026087/524288, 2052175/
1048576], [3, 3]]]], [[8, 11, 10, 8, 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], [1288231/524288, 2576463/1048576], [-3, -3]]]], [[8, 11, 10,
8, 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], [1288231/
524288, 2576463/1048576], [-1265743/1048576, -1265743/1048576]]]], [[8, 11, 10
, 8, 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], [1288231/
524288, 2576463/1048576], [0, 0]]]], [[8, 11, 10, 8, 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], [1288231/524288, 2576463/1048576], [1265743/1048576,
1265743/1048576]]]], [[8, 11, 10, 8, 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], [1288231/524288, 2576463/1048576], [3, 3]]]], [[8, 13, 10, 2
, 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]]]], [[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-1, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-2, -2], [-3, -3], [0, 0]]]],
[[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-u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [2, 2], [
3692339/2097152, 3692339/2097152], [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 < 0), z < -(u^2-v^2+y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [1454701/1048576, 1454701/1048576], [-384703/262144, -1538811/
1048576], [-7843775/16777216, -7843775/16777216], [-3, -3]]]], [[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 < 0), z = -(u^2-v^2+y+1)^(1/2)], [regular_chain, [[1265743
/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-384703/
262144, -1538811/1048576], [-7843775/16777216, -7843775/16777216], [-1048577/
1048576, -1]]]], [[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 < 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], [-7843775/16777216, -7843775/16777216], [0, 0]]]], [[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 < 0), z = (u^2-v^2+y+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-384703/262144
, -1538811/1048576], [-7843775/16777216, -7843775/16777216], [1, 1048577/
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 < 0), (u^2-v^2+y+1)^(1/2) < z]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [-384703/262144, -1538811/1048576], [-7843775/16777216, -\
7843775/16777216], [3, 3]]]], [[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 = 0, z < -(-x)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-4, -4], [0, 0], [-3, -3]]]], [[9, 15, 1, 8, 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, 8, 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, 8, 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, 8, 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, 5, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 3, 3, 4, 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], [-\
3651195/2097152, -3651195/2097152], [-1, -1]]]], [[10, 3, 3, 4, 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], [-3651195/2097152, -3651195/
2097152], [0, 0]]]], [[10, 3, 3, 4, 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], [-3651195/2097152, -3651195/2097152], [1, 1]]]], [[10, 9, 2,
6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 2, 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, 14, 7, 5, 1], [v = 2^(1/2),
u = v, 1 < x, And(x < y,y < x+1), z < -(y-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [741455/524288, 1482911/1048576], [2, 2], [5/2, 5/2]
, [-2, -2]]]], [[10, 14, 7, 5, 2], [v = 2^(1/2), u = v, 1 < x, And(x < y,y < x
+1), z = -(y-x)^(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, 5, 3], [v = 2^(1/2), u = v, 1 < x, And(x < y,
y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [741455/524288, 1482911/1048576], [2, 2], [5/2, 5/2]
, [0, 0]]]], [[10, 14, 7, 5, 4], [v = 2^(1/2), u = v, 1 < x, And(x < y,y < x+1
), z = (y-x)^(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, 5, 5], [v = 2^(1/2), u = v, 1 < x, And(x < y,y < x+1),
(y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [741455/
524288, 1482911/1048576], [2, 2], [5/2, 5/2], [2, 2]]]], [[10, 16, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 2, 1, 2, 1], [2
^(1/2) < v, u = -(v^2+2)^(1/2), x < -3, y = x-1, z = z], [regular_chain, [[3,
3], [-1738867/524288, -3477733/1048576], [-4, -4], [-5, -5], [0, 0]]]], [[11,
5, 9, 2, 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, 1, 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], [-1, -1], [0, 0]]]], [[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 = z], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1, -1], [-3163225/
2097152, -395403/262144], [0, 0]]]], [[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(u^2-v^2+x+1 < y,y < 0),
z < -(y-x)^(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(u^2-v^2+x+1 < y,y < 0), z = -(y-x)^(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(u^2-v^2+x+1 < y,y < 0), And(-(y-x)^(1/2)
< z,z < (y-x)^(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(u^2-v^2+x+1 < y,y < 0), z =
(y-x)^(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(u^2-v^2+x+1 < y,y < 0), (y-x)^(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 < -(u^2-v^2+1)^(1/2)], [regular_chain,
[[3, 3], [3396811/1048576, 3396811/1048576], [-915943/524288, -915943/524288],
[391655/524288, 783311/1048576], [-3, -3]]]], [[11, 19, 3, 8, 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], [391655/524288, 783311/
1048576], [-1655969/1048576, -3311937/2097152]]]], [[11, 19, 3, 8, 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], [391655/524288, 783311/1048576], [-1/4194304, -1/4194304]]]],
[[11, 19, 3, 8, 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], [391655/524288, 783311/1048576], [51749/32768, 1655969/1048576
]]]], [[11, 19, 3, 8, 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], [391655/524288, 783311/1048576], [3, 3]]]], [[11, 21, 1, 2, 1]
, [2^(1/2) < v, (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = x-u^2+v^2+1, z = z], [
regular_chain, [[3, 3], [5, 5], [-18, -18], [-33, -33], [0, 0]]]], [[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 < -u^2+
v^2-1, z = z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-\
195745/131072, -1565959/1048576], [-3, -3], [0, 0]]]], [[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
< 0), z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152,
-6111549/2097152], [-3161161/2097152, -395145/262144], [-133001/262144, -\
133001/262144], [-3, -3]]]], [[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 < 0), z = -(y-u^2+v^2+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, 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 < 0), And(-(y-u^2+v^2+1)^(1/2) < z,z <
(y-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-3161161/2097152, -395145/262144], [-133001/262144, -133001/262144]
, [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 < 0), z = (y-u^2+v^2+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, 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 < 0), (y-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3161161/
2097152, -395145/262144], [-133001/262144, -133001/262144], [3, 3]]]], [[1, 10
, 9, 2, 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, 5, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 3, 1], [v = -2^(1/2), u = -2, And(0 < x,x < 1), And(x-1 < 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, 1, 1], [v = -2^(1/2), u = -3^(1/2), And
(-1 < x,x < 0), y < x, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [-2, -2], [0, 0]]
]], [[2, 7, 7, 1, 1], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,x < 0),
y < x, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-239655/1048576, -239655/1048576], [-2, -2], [0,
0]]]], [[2, 9, 5, 7, 1], [v = -2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0),
And(0 < y,y < x-u^2+3), z < -(y-x)^(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, 7, 2], [v = -2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), And(0 < y,y < x
-u^2+3), z = -(y-x)^(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, 7, 3], [v = -2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), And
(0 < y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 4], [v = -2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0)
, And(0 < y,y < x-u^2+3), z = (y-x)^(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, 7, 5], [v = -2^(1/2), And(-1 < u,u < 0), And(-1
< x,x < 0), And(0 < y,y < x-u^2+3), (y-x)^(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, 3, 4, 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], [-426949/524288, -3415591/4194304], [-2, -2]]]], [[2, 13, 3,
4, 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], [-\
426949/524288, -3415591/4194304], [-1417877/2097152, -354469/524288]]]], [[2,
13, 3, 4, 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], [-426949/524288, -3415591/4194304], [0, 0]]]], [[2
, 13, 3, 4, 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], [
-426949/524288, -3415591/4194304], [354469/524288, 708939/1048576]]]], [[2, 13
, 3, 4, 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], [-\
426949/524288, -3415591/4194304], [2, 2]]]], [[2, 15, 3, 8, 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], [248903/1048576, 31113
/131072], [-3, -3]]]], [[2, 15, 3, 8, 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], [248903/1048576, 31113/131072], [-1273381/
1048576, -318345/262144]]]], [[2, 15, 3, 8, 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], [248903/
1048576, 31113/131072], [0, 0]]]], [[2, 15, 3, 8, 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], [248903/1048576, 31113/131072]
, [318345/262144, 1273381/1048576]]]], [[2, 15, 3, 8, 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], [248903/1048576, 31113/131072]
, [3, 3]]]], [[3, 1, 7, 2, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2),
And(0 < x,x < 1), y = x-u^2+v^2+1, z = z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3, -3], [1/2, 1/2], [-3168217/524288, -6336433/1048576],
[0, 0]]]], [[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 = z], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1],
[-3, -3], [0, 0]]]], [[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 < x, z = z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [
-1498947/2097152, -1498947/2097152], [-2, -2], [0, 0]]]], [[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), x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [-1812519/1048576, -1812519/
1048576], [2, 2], [-3, -3]]]], [[3, 9, 3, 9, 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), x-u^2+v^
2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [2, 2], [-8098975/
4194304, -16197949/8388608]]]], [[3, 9, 3, 9, 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), x-u^2+v^
2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [2,
2], [-5/16777216, -5/16777216]]]], [[3, 9, 3, 9, 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), x-u^2+
v^2+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [2, 2], [2024743/
1048576, 253093/131072]]]], [[3, 9, 3, 9, 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), x-u^2+v^2+1 <
y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0
, 0], [-1812519/1048576, -1812519/1048576], [2, 2], [3, 3]]]], [[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 < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [3, 3], [7909297/2097152, 7909297/2097152], [14, 14], [-5, -5]]]],
[[3, 17, 9, 9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [7909297/2097152, 7909297/2097152], [14, 
14], [-104799/32768, -3353567/1048576]]]], [[3, 17, 9, 9, 3], [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, And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [7909297/2097152, 7909297/2097152], [14, 14], [0, 0]
]]], [[3, 17, 9, 9, 4], [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 = (y-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [7909297/2097152, 7909297/2097152]
, [14, 14], [3353567/1048576, 104799/32768]]]], [[3, 17, 9, 9, 5], [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,
(y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3
], [7909297/2097152, 7909297/2097152], [14, 14], [5, 5]]]], [[4, 2, 4, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 2, 3, 1], [v = -1, u =
-1, x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z
< (y+1)^(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(-1 < y,y < 0), z = (
y+1)^(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(-1 < y,y < 0), (y+1)^(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, z < 0], [regular_chain, [[-1, -1], [0, 0], [-3/2, -3/2], [-3/2, -3
/2], [-1, -1]]]], [[4, 8, 3, 2, 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, 2, 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, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = -1, 3^
(1/2) < u, x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), z < -(y-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [3, 3], [7, 7], [23/2, 23/2], [-4, -4]]]], [[4, 15,
10, 5, 2], [v = -1, 3^(1/2) < u, x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), z = -(
y-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [7, 7], [23/2, 23/2], [-\
1112183/524288, -2224365/1048576]]]], [[4, 15, 10, 5, 3], [v = -1, 3^(1/2) < u
, x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), And(-(y-u^2+2)^(1/2) < z,z < (y-u^2+2
)^(1/2))], [regular_chain, [[-1, -1], [3, 3], [7, 7], [23/2, 23/2], [0, 0]]]],
[[4, 15, 10, 5, 4], [v = -1, 3^(1/2) < u, x = u^2-2, And(u^2-2 < y,y < 2*u^2-2
), z = (y-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [7, 7], [23/2, 23/
2], [2224365/1048576, 1112183/524288]]]], [[4, 15, 10, 5, 5], [v = -1, 3^(1/2)
< u, x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), (y-u^2+2)^(1/2) < z], [
regular_chain, [[-1, -1], [3, 3], [7, 7], [23/2, 23/2], [4, 4]]]], [[5, 4, 4,
6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 3, 3, 1], [And(-1 < v,v
< 0), u = v, And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x <
y,y < 0), z = -(y-x)^(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, 3, 3], [And(-1 < v,v < 0),
u = v, And(-1 < x,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 0), And
(x < y,y < 0), z = (y-x)^(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, 3, 5], [And(-1 < v,v < 0
), u = v, And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(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(0 < y,y < x-u^2+v^2+1), z < -(y-x)^(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(0 < y,y < x-u^2+v^2+1), z = -(y-x)^(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(0 < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y
-x)^(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(0 < y,y < x-u^2+v^2+1), z = (y-x
)^(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(0 < y,y < x-u^2+v^2+1), (y-x
)^(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 = z], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [0, 0], [-486043/1048576, -243021/524288], [0,
0]]]], [[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(0 < y,y < x), 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 = x, z < 0], [regular_chain, [[0, 0], [1265743/1048576
, 1265743/1048576], [239655/1048576, 239655/1048576], [239655/1048576, 239655/
1048576], [-1, -1]]]], [[6, 9, 7, 6, 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, 6, 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, 5, 1], [v = 0, 2^(1/2) < u, x = -1, And(-1 <
y,y < 0), z < -(y+1)^(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(-1 < y
,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0),
(y+1)^(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, 2*u^2-2*v^2 < y, z < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [243021/524288,
486043/1048576], [4, 4], [-3, -3]]]], [[7, 3, 8, 7, 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, 2*u^2-2*v^2 < y, z = -
(y-u^2+v^2+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, 7, 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, 2*u^2-2*v^2 < y, And(-(y-u^2+v^2+1)^(1/2) < z,
z < (y-u^2+v^2+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, 7, 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, 2*u^2-2*v^2 < y, z = (y-u^2+v^2+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, 7, 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
, 2*u^2-2*v^2 < y, (y-u^2+v^2+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, 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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1248837/
4194304, -1248837/4194304], [312209/1048576, 156105/524288], [-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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2,
1/2], [-1696631/2097152, -1696631/2097152], [-1248837/4194304, -1248837/
4194304], [312209/1048576, 156105/524288], [-1618333/2097152, -3236665/4194304
]]]], [[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 = x-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], [-1248837/4194304, -1248837/4194304], [312209/1048576, 156105/524288
], [-1/8388608, -1/8388608]]]], [[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 = x-u^2+v^2+1, z = (-u^2+v^
2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152]
, [-1248837/4194304, -1248837/4194304], [312209/1048576, 156105/524288], [
404583/524288, 809167/1048576]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2
+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-1248837/4194304, -1248837/4194304], [312209/1048576, 156105/524288
], [2, 2]]]], [[8, 1, 4, 2, 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, 5, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, And(x < y,y < u^2+
x), z < -(y-x)^(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(x < y,y < u^2+
x), z = -(y-x)^(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(x < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2+x), z = (y-x)^(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(x < y,y < u
^2+x), (y-x)^(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 < u^2-2, z = z], [
regular_chain, [[1, 1], [-1/2, -1/2], [-7/4, -7/4], [-3, -3], [0, 0]]]], [[8,
9, 1, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 7, 8, 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, 8, 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, 8
, 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, 8, 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, 8, 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, 5, 2, 1], [And(1 < v,v < 2^(1/2)), u <
-(v^2+2)^(1/2), And(-1 < x,x < 0), y = x-u^2+v^2+1, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [-1/2, -1/2], [-3692505/524288, -\
7385009/1048576], [0, 0]]]], [[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 = -u^2+v^2-1, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1538813/1048576, -384703/262144], [-1538813/1048576, -\
384703/262144], [-1, -1]]]], [[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 = -u^2+v^2-1, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1538813/1048576, -384703/262144], [-1538813/1048576, -\
384703/262144], [0, 0]]]], [[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 = -u^2+v^2-1, 0 < z], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [
-1538813/1048576, -384703/262144], [-1538813/1048576, -384703/262144], [1, 1]]
]], [[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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2695357/2097152, -2695357/2097152], [-8979943/8388608, -\
8979943/8388608], [-2, -2]]]], [[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(x < y,y < u^2-v^2+x
+1), z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [-\
8979943/8388608, -8979943/8388608], [-485927/1048576, -242963/524288]]]], [[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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^
(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [-8979943/
8388608, -8979943/8388608], [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(x < y,y < u
^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/
2097152], [-8979943/8388608, -8979943/8388608], [242963/524288, 485927/1048576
]]]], [[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(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2695357/2097152, -2695357/2097152], [-8979943/8388608, -\
8979943/8388608], [2, 2]]]], [[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, -u^2+v^2+2 < y, z < -(y-1)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [1, 1], [5, 5],
[-3, -3]]]], [[9, 9, 10, 9, 2], [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+2 < y, z = -(y-1)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [0, 0], [1, 1], [5, 5], [-2, -2]]]], [[
9, 9, 10, 9, 3], [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+2 < y, 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, 9, 4], [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+2 < y, z = (y-1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [1, 1], [5, 5], [2, 2]]]], [[9, 9,
10, 9, 5], [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+2 < y, (y-1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [1, 1], [5, 5], [3, 3]]]], [[9, 11, 10, 3, 1], [And(
1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 1, And(0 < y,y < 1), z =
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [1, 1], [1/2, 1/2], [0, 0]]]], [[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 = 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], [3647693/1048576, 1823847/524288], [-3
, -3]]]], [[9, 15, 10, 8, 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], [3647693/1048576, 1823847/524288], [-3301741/2097152, -825435
/524288]]]], [[9, 15, 10, 8, 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], [3647693/1048576, 1823847/524288], [0, 0]]]],
[[9, 15, 10, 8, 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], [
3647693/1048576, 1823847/524288], [825435/524288, 1650871/1048576]]]], [[9, 15
, 10, 8, 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], [3647693/
1048576, 1823847/524288], [3, 3]]]], [[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 = z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [3, 3], [1, 1], [-11624291/2097152, -5812145/
1048576], [0, 0]]]], [[10, 5, 11, 1, 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], [-1, -1], [0, 0]]]], [[10, 7, 11,
9, 1], [v = 2^(1/2), And(-v < u,u < -1), 1 < x, x-u^2+3 < y, z < -(y-x)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [5, 5], [-3, -3]]]], [[10, 7, 11, 9, 2], [v = 2^(1/2
), And(-v < u,u < -1), 1 < x, x-u^2+3 < y, z = -(y-x)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [2, 2
], [5, 5], [-1816187/1048576, -3632373/2097152]]]], [[10, 7, 11, 9, 3], [v = 2
^(1/2), And(-v < u,u < -1), 1 < x, x-u^2+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576
, -1265743/1048576], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[10, 7, 11,
9, 4], [v = 2^(1/2), And(-v < u,u < -1), 1 < x, x-u^2+3 < y, z = (y-x)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743
/1048576], [2, 2], [5, 5], [908093/524288, 1816187/1048576]]]], [[10, 7, 11, 9
, 5], [v = 2^(1/2), And(-v < u,u < -1), 1 < x, x-u^2+3 < y, (y-x)^(1/2) < z],
[regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743
/1048576], [2, 2], [5, 5], [3, 3]]]], [[10, 11, 9, 2, 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, 3, 1], [v = 2^(1/2), And(1 < u,u < v), x = 0, And(0 < y,y < u^2-1), 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, 3, 2], [v = 2^(1/2), And(1 < u,u < v), x = 0, And(0 < y,y < u^2-1), 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, 3, 3], [v = 2^(1/2), And(1 < u,u < v), x =
0, And(0 < 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], [
239655/1048576, 239655/1048576], [0, 0]]]], [[10, 13, 8, 3, 4], [v = 2^(1/2),
And(1 < u,u < v), x = 0, And(0 < y,y < u^2-1), 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, 3, 5], [v = 2^(1/2), And(1 < u,u < v), x = 0, And(0 < y,y < u^2-1), y^(1/
2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576,
1265743/1048576], [0, 0], [239655/1048576, 239655/1048576], [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 < x-u^2+v^2+1, z = z], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [-4, -4], [-6, -6], [0, 0]]]], [[11, 4, 9, 2, 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, 8, 9, 5, 1],
[2^(1/2) < v, u = -(v^2-1)^(1/2), 1 < x, And(x < y,y < x+2), z < -(y-x)^(1/2)]
, [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [2, 2], [3,
3], [-2, -2]]]], [[11, 8, 9, 5, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), 1 < x, 
And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [2, 2], [3, 3], [-1, -1]]]], [[11, 8, 9, 5, 3], [
2^(1/2) < v, u = -(v^2-1)^(1/2), 1 < x, And(x < y,y < x+2), And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [2, 2], [3, 3], [0, 0]]]], [[11, 8, 9, 5, 4], [2^(1/2) < v, u = -(v^
2-1)^(1/2), 1 < x, And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[3,
3], [-2965821/1048576, -11863283/4194304], [2, 2], [3, 3], [1, 1]]]], [[11, 8,
9, 5, 5], [2^(1/2) < v, u = -(v^2-1)^(1/2), 1 < x, And(x < y,y < x+2), (y-x)^(
1/2) < z], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [2,
2], [3, 3], [2, 2]]]], [[11, 10, 7, 1, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), 
And(0 < x,x < 1), y < x-1, z = z], [regular_chain, [[3, 3], [-5548543/2097152,
-2774271/1048576], [1/2, 1/2], [-2, -2], [0, 0]]]], [[11, 16, 1, 2, 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, 2, 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, 2, 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, 2, 3, 1], [2^(1/2) <
v, u = (v^2+1)^(1/2), x = -2, And(-2 < y,y < 0), z < -(y+2)^(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(-\
2 < y,y < 0), z = -(y+2)^(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(-2 < y,y < 0), And(-(y+2)^(1/2) < z,z <
(y+2)^(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(-2 < y,y < 0), z = (y+2)^(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(-2 < y,y < 0), (y+2)^(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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3],
[5, 5], [8, 8], [25, 25], [-6, -6]]]], [[11, 21, 9, 8, 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, 8, 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, 8, 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, 8, 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
, 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], [-66225059/
67108864, -33112529/33554432], [-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], [-66225059/67108864, -33112529/33554432], [-\
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], [-66225059/67108864, -\
33112529/33554432], [-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], [-66225059/67108864, -33112529/33554432], [
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], [-66225059/67108864, -33112529/33554432], [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(u^2-v^2+x+1 < y,y < 0), z < -(y-x)^(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(u^2-v^2+x+1 <
y,y < 0), z = -(y-x)^(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(u^2-v^2+x+
1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(u^2-v^2+x+1 < y,y < 0), z = (y-x)^(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(u^2-v^2+x+1 < y,y < 0), (y-x)^(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(0 < y,y < x-1), z = z], [regular_chain, [[-3, -3], [
-5548543/2097152, -2774271/1048576], [2, 2], [1/2, 1/2], [0, 0]]]], [[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, z < 0], [regular_chain, [[-3, -3], [207243/65536, 3315889/
1048576], [-1/2, -1/2], [-1/2, -1/2], [-1, -1]]]], [[1, 18, 5, 2, 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, 2, 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, 20, 3, 6, 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,
6, 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, 6, 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, 6, 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, 6, 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, 4, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 1], [v = -2^(1/2), And(v < u,u < -1), x = -u^2+1, And(-u^2
+1 < y,y < 0), 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, 3,
2], [v = -2^(1/2), And(v < u,u < -1), x = -u^2+1, And(-u^2+1 < y,y < 0), 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, 3, 3], [v = -2^(1/2), And(v < u,u < -1), x = -u^2+1, And(-u^2+1 < 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], [-239655/1048576, -239655/1048576], [0, 0]]]], [[2,
7, 6, 3, 4], [v = -2^(1/2), And(v < u,u < -1), x = -u^2+1, And(-u^2+1 < y,y <
0), 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,
3, 5], [v = -2^(1/2), And(v < u,u < -1), x = -u^2+1, And(-u^2+1 < y,y < 0), (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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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], [-\
1138531/1048576, -569265/524288], [-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], [-1138531/1048576, -569265/
524288], [-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], [-1138531/
1048576, -569265/524288], [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], [-1138531/1048576, -569265/524288], [
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], [-1138531/1048576, -569265/524288], [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(x-u^2+3 < y,y < 0), z < -(y-x)^(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(x-u^2+3 < y,y < 0), z = -(y-x)^(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(x-u^2+3 < y,y < 0), And(-(y-
x)^(1/2) < z,z < (y-x)^(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(x-u^2+3 < y,y < 0), z = (y-x)^(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(x-u^2+3 < y,y < 0), (y-x)^(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 < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-3647693/2097152, -3647693/2097152], [2, 2], [-3, -3]]]],
[[3, 3, 3, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-v^
2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9,
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), u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-3647693/2097152, -3647693/2097152], [2, 2], [3, 3]]]], [[
3, 7, 4, 3, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x =
-1, And(-1 < y,y < u^2-v^2), z < -(y+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [-\
3293563/4194304, -3293563/4194304], [-2, -2]]]], [[3, 7, 4, 3, 2], [And(-2^(1/
2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -1, And(-1 < y,y < u^2-v^2)
, z = -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-1, -1], [-3293563/4194304, -3293563/
4194304], [-242963/524288, -485925/1048576]]]], [[3, 7, 4, 3, 3], [And(-2^(1/2
) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -1, And(-1 < y,y < u^2-v^2),
And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [-3293563/
4194304, -3293563/4194304], [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(-1 < y,y < u^2-v^2), z = (y+1)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-1, -1], [-3293563/4194304, -3293563/4194304], [
485925/1048576, 242963/524288]]]], [[3, 7, 4, 3, 5], [And(-2^(1/2) < v,v < -1)
, And(v < u,u < -(v^2-1)^(1/2)), x = -1, And(-1 < y,y < u^2-v^2), (y+1)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304
, -3949363/4194304], [-1, -1], [-3293563/4194304, -3293563/4194304], [2, 2]]]]
, [[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 = 0, z < -(-x)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1812519/1048576, -1812519/
1048576], [0, 0], [-3, -3]]]], [[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 = 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, 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 = 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, 6, 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, 6, 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, 1, 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], [-1, -1], [0, 0]]]], [[4, 2, 5, 4, 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, 4, 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, 4, 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, 6, 3, 1, 1], [v = -1, u
= -1, And(-1 < x,x < 0), y < x, z = z], [regular_chain, [[-1, -1], [-1, -1], [
-1/2, -1/2], [-2, -2], [0, 0]]]], [[4, 8, 4, 2, 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, 2, 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, 2, 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, 2, 7, 1], [v = -1, u = 3^(1/2), x = -3, 0 < y, z < -(
y+3)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-3,
-3], [1, 1], [-3, -3]]]], [[4, 14, 2, 7, 2], [v = -1, u = 3^(1/2), x = -3, 0 <
y, z = -(y+3)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [-3, -3], [1, 1], [-2, -2]]]], [[4, 14, 2, 7, 3], [v = -1, u = 3^(1/
2), x = -3, 0 < y, And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))], [regular_chain, [[-\
1, -1], [908093/524288, 1816187/1048576], [-3, -3], [1, 1], [0, 0]]]], [[4, 14
, 2, 7, 4], [v = -1, u = 3^(1/2), x = -3, 0 < y, z = (y+3)^(1/2)], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-3, -3], [1, 1],
[2, 2]]]], [[4, 14, 2, 7, 5], [v = -1, u = 3^(1/2), x = -3, 0 < y, (y+3)^(1/2)
< z], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-3, -3], [
1, 1], [3, 3]]]], [[4, 15, 11, 3, 1], [v = -1, 3^(1/2) < u, u^2-2 < x, And(0 <
y,y < x-u^2+2), z = z], [regular_chain, [[-1, -1], [3, 3], [8, 8], [1/2, 1/2],
[0, 0]]]], [[5, 4, 5, 2, 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, 2, 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, 2, 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, 4, 3, 1], [And(-1 < v,v < 0), u = v, x = 0, And(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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 < 2*u^2-2*v^2), z < -(y-u^2+v^
2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152]
, [-624419/1048576, -1248837/2097152], [424157/1048576, 424157/1048576], [-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 < 2*u^2-2*v^2), z = -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-624419/
1048576, -1248837/2097152], [424157/1048576, 424157/1048576], [-549755706347/
549755813888, -4398045650775/4398046511104]]]], [[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 < 2*u^2-2*v^
2), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[
-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-624419/1048576, -1248837/
2097152], [424157/1048576, 424157/1048576], [-3333975/8796093022208, -3333975/
8796093022208]]]], [[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 < 2*u^2-2*v^2), z = (y-u^2+v^2+1)^(1/2)],
[regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-624419/
1048576, -1248837/2097152], [424157/1048576, 424157/1048576], [1048575/1048576
, 1]]]], [[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 < 2*u^2-2*v^2), (y-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-624419/
1048576, -1248837/2097152], [424157/1048576, 424157/1048576], [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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [
[-1/2, -1/2], [343151/262144, 343151/262144], [-1/2, -1/2], [1029453/524288, 
2058907/1048576], [-3, -3]]]], [[5, 11, 5, 8, 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], [1029453/524288, 2058907/1048576], [-3291611/2097152, -1645805
/1048576]]]], [[5, 11, 5, 8, 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], [1029453/524288, 2058907/1048576], [0, 0]]]], [[
5, 11, 5, 8, 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], [1029453/524288, 
2058907/1048576], [1645805/1048576, 822903/524288]]]], [[5, 11, 5, 8, 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], [1029453/524288, 2058907/1048576], [3, 3
]]]], [[6, 1, 9, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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,
7, 4, 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, 6, 6, 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], [1288231/524288, 2576463/1048576
], [-3, -3]]]], [[6, 9, 6, 6, 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], [1288231/524288, 2576463/1048576], [-410915/262144, -3287319
/2097152]]]], [[6, 9, 6, 6, 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], [1288231/524288, 2576463/1048576],
[-1/4194304, -1/4194304]]]], [[6, 9, 6, 6, 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], [1288231/524288, 2576463/1048576], [1643659
/1048576, 410915/262144]]]], [[6, 9, 6, 6, 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], [1288231/524288, 2576463/1048576], [3, 3]]]
], [[6, 11, 4, 2, 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, 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 = 0, z = z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144
], [243021/524288, 486043/1048576], [0, 0], [0, 0]]]], [[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(0
< y,y < x-u^2+v^2+1), z < -(y-x)^(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(0 < y,y < x-
u^2+v^2+1), z = -(y-x)^(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(0 < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(0 < y,y < x-u^2+v^2+1), z = (y-x)^(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(0 < y,y < x-u^2+v^2+1), (y-x)^(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 < -(y+1)^(1/2)
], [regular_chain, [[1, 1], [-3, -3], [-1, -1], [9, 9], [-5, -5]]]], [[8, 1, 4
, 9, 2], [v = 1, u < -3^(1/2), x = -1, u^2-1 < y, z = -(y+1)^(1/2)], [
regular_chain, [[1, 1], [-3, -3], [-1, -1], [9, 9], [-3315889/1048576, -207243
/65536]]]], [[8, 1, 4, 9, 3], [v = 1, u < -3^(1/2), x = -1, u^2-1 < y, And(-(y
+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1, 1], [-3, -3], [-1, -1],
[9, 9], [0, 0]]]], [[8, 1, 4, 9, 4], [v = 1, u < -3^(1/2), x = -1, u^2-1 < y,
z = (y+1)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-1, -1], [9, 9], [207243
/65536, 3315889/1048576]]]], [[8, 1, 4, 9, 5], [v = 1, u < -3^(1/2), x = -1, u
^2-1 < y, (y+1)^(1/2) < z], [regular_chain, [[1, 1], [-3, -3], [-1, -1], [9, 9
], [5, 5]]]], [[8, 3, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = 1, And(0 <
u,u < 1), x < u^2-2, And(u^2+x < y,y < x-u^2+2), z < -(y-x)^(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 < y,y < x-u^2+2), z =
-(y-x)^(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 < y,y
< x-u^2+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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 < y,y < x-u^2+2), z = (y-x)^(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 < y,y < x-u^2+2), (y-x)^
(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 = 4, z < -3^(1/2)], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [1, 1], [4, 4], [-3,
-3]]]], [[8, 14, 8, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/
2), And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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, 0 < y, 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, 7, 2], [And(1 < v,v < 2^(1/2))
, And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, 0 < y, 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, 7, 3], [And(1 < v,v < 2^(1/2)), And(
-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, 0 < y, 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, 7, 4], [And(1 < v,v < 2^(1/2)), And(-(v
^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, 0 < y, 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, 7, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(
1/2) < u,u < -v), x = -u^2+v^2-1, 0 < y, (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, 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 = 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], [-3589231/4194304, -1794615/2097152], [-2,
-2]]]], [[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 = 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], [-3589231/4194304, -\
1794615/2097152], [-1374407/2097152, -687203/1048576]]]], [[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 = u^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], [-3589231/4194304, -\
1794615/2097152], [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 = 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], [-3589231/
4194304, -1794615/2097152], [687203/1048576, 171801/262144]]]], [[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 = 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], [-3589231/4194304, -1794615/2097152], [2, 2]]]], [
[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 = -u^2+v^2+2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [1, 1], [1812519/524288, 3625039/
1048576], [-3, -3]]]], [[9, 9, 10, 8, 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], [
1812519/524288, 3625039/1048576], [-410915/262144, -3287319/2097152]]]], [[9,
9, 10, 8, 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], [
1812519/524288, 3625039/1048576], [-1/4194304, -1/4194304]]]], [[9, 9, 10, 8,
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], [1812519/524288, 3625039/1048576], [1643659/
1048576, 410915/262144]]]], [[9, 9, 10, 8, 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], [
1812519/524288, 3625039/1048576], [3, 3]]]], [[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(u^2-v^2+x+1 < y,
y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [3/2, 3/2], [-\
2, -2]]]], [[9, 11, 9, 7, 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-u^2+v^2+1), z = -(y-x)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]], [[9, 11, 9, 7, 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-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[9, 11, 9, 7, 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-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [3/2, 3/2], [1, 1]]]]
, [[9, 11, 9, 7, 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-u^2+v^2+1), (y-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[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(-u^2+v^2+2 <
y,y < 1), 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 = 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3]
, [1/2, 1/2], [0, 0], [0, 0]]]], [[10, 5, 10, 9, 1], [v = 2^(1/2), And(-3^(1/2
) < u,u < -v), x = 1, u^2 < y, z < -(y-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [1, 1], [4, 4]
, [-3, -3]]]], [[10, 5, 10, 9, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x =
1, u^2 < y, 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, 9, 3], [v = 2^(1/2), And(-3^(1/2)
< u,u < -v), x = 1, u^2 < y, 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, 9, 4], [v
= 2^(1/2), And(-3^(1/2) < u,u < -v), x = 1, u^2 < y, 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, 9,
5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 1, u^2 < y, (y-1)^(1/2) < z],
[regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195
/4194304], [1, 1], [4, 4], [3, 3]]]], [[10, 7, 11, 4, 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, 4, 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, 4, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 5, 1], [v = 2^(1/2), And(1 < u,u < v), And(-u^
2+1 < x,x < 0), And(0 < y,y < u^2+x-1), z < -(y-x)^(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(0 <
y,y < u^2+x-1), z = -(y-x)^(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(0 < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(0 < y,y < u^2+x-1), z = (y-x)^(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(0 < y,y < u^2+x-1), (y-x)^(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 = u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-3396811
/1048576, -3396811/1048576], [-4, -4], [-394777/262144, -3158215/2097152], [-3
, -3]]]], [[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 = u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-4, -4], [-\
394777/262144, -3158215/2097152], [-1655969/1048576, -3311937/2097152]]]], [[
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 = u^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], [-\
394777/262144, -3158215/2097152], [-1/4194304, -1/4194304]]]], [[11, 3, 1, 6,
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], [-394777/262144, -3158215/2097152], [
51749/32768, 1655969/1048576]]]], [[11, 3, 1, 6, 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], [-394777/262144, -3158215/2097152], [3, 3]]]], [[11, 4, 9, 3, 1], [2^(1
/2) < v, u = -(v^2+1)^(1/2), 1 < x, And(0 < y,y < x), z = z], [regular_chain,
[[3, 3], [-3315889/1048576, -207243/65536], [2, 2], [1, 1], [0, 0]]]], [[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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y <
x-u^2+v^2+1), z = (y-x)^(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(x < y,y < x-u^2+v^2+1), (y-x)^(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 = 0, z = z], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [1/2, 1/2], [0,
0], [0, 0]]]], [[11, 16, 1, 7, 1], [2^(1/2) < v, u = v, x < -1, 0 < y, z < -(y
-x)^(1/2)], [regular_chain, [[3, 3], [3, 3], [-2, -2], [1, 1], [-3, -3]]]], [[
11, 16, 1, 7, 2], [2^(1/2) < v, u = v, x < -1, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [3, 3], [-2, -2], [1, 1], [-1816187/1048576, -3632373/
2097152]]]], [[11, 16, 1, 7, 3], [2^(1/2) < v, u = v, x < -1, 0 < y, And(-(y-x
)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [3, 3], [-2, -2], [1,
1], [-1/4194304, -1/4194304]]]], [[11, 16, 1, 7, 4], [2^(1/2) < v, u = v, x <
-1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [3, 3], [-2, -2], [1, 1]
, [908093/524288, 1816187/1048576]]]], [[11, 16, 1, 7, 5], [2^(1/2) < v, u = v
, x < -1, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [3, 3], [-2, -2],
[1, 1], [3, 3]]]], [[11, 18, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 10, 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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [5, 5
], [15, 15], [32, 32], [-6, -6]]]], [[11, 21, 10, 6, 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, 6, 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, 6
, 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, 6, 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, 3, 1], [v < -2^(1/2)
, u = -(v^2+2)^(1/2), x = -3, And(-4 < y,y < -3), z = z], [regular_chain, [[-3
, -3], [-1738867/524288, -3477733/1048576], [-3, -3], [-7/2, -7/2], [0, 0]]]],
[[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 = u^2-v^2+2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [1, 1], [915943/262144, 3663773/1048576],
[-3, -3]]]], [[1, 3, 10, 8, 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], [915943/262144, 3663773
/1048576], [-1655969/1048576, -3311937/2097152]]]], [[1, 3, 10, 8, 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], [915943/262144, 3663773/1048576],
[-1/4194304, -1/4194304]]]], [[1, 3, 10, 8, 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], [
915943/262144, 3663773/1048576], [51749/32768, 1655969/1048576]]]], [[1, 3, 10
, 8, 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], [915943/262144, 3663773/1048576], [3, 3]]]
], [[1, 7, 11, 2, 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, 5, 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 = 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 = 0, z < -1], [regular_chain, [[-3,
-3], [6111549/2097152, 6111549/2097152], [-1, -1], [0, 0], [-2, -2]]]], [[1, 
15, 4, 6, 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, 6, 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, 6, 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, 6, 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, 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(x-u^2+v^2+1 < y,y < 0
), z < -(y-x)^(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(x-u^2+v^2+1 < y,y < 0), z = -(y-x)^(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(x-u^2+v^2+1 < y,y < 0), And(-(y-x)^(1/2)
< z,z < (y-x)^(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(x-u^2+v^2+1 < y,y < 0), z = (y-x)^(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(x-u^2+v^2+1 < y,y < 0), (y-x)^(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(-2*u^2+
2*v^2 < y,y < -u^2+v^2-1), z = z], [regular_chain, [[-3, -3], [5, 5], [-17, -\
17], [-49/2, -49/2], [0, 0]]]], [[2, 1, 8, 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, 8, 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, 8, 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, 4, 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, 4, 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, 4, 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, 1, 7, 1], [v = -2^(1/2), u = 1, x < -2, 0 <
y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1,
1], [-3, -3], [1, 1], [-3, -3]]]], [[2, 12, 1, 7, 2], [v = -2^(1/2), u = 1, x
< -2, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1, 1], [-3, -3], [1, 1], [-2, -2]]]], [[2, 12, 1, 7, 3], [v = -2^(1/
2), u = 1, x < -2, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3, -3], [1, 1],
[0, 0]]]], [[2, 12, 1, 7, 4], [v = -2^(1/2), u = 1, x < -2, 0 < y, z = (y-x)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3, -3],
[1, 1], [2, 2]]]], [[2, 12, 1, 7, 5], [v = -2^(1/2), u = 1, x < -2, 0 < y, (y-
x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-\
3, -3], [1, 1], [3, 3]]]], [[2, 16, 2, 3, 1], [v = -2^(1/2), u = 3^(1/2), x =
-2, And(-2 < y,y < 0), z < -(y+2)^(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(-2 < y,y < 0)
, z = -(y+2)^(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(-2 < y,y < 0), And(-(y+2)^(1/2)
< z,z < (y+2)^(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(-2 < y,y < 0), z = (y+2)^(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(-2 < y,y < 0), (y+2)^(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, z
< 0], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-4, -4], [
-4, -4], [-1, -1]]]], [[2, 18, 1, 4, 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, 4, 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, 3, 2, 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, 2, 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, 2, 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, 6, 2, 1, 1], [And(-2^(1/2) < v,v < -1), u = v, x = -1, y <
-1, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [-1, -1], [-2, -2], [0, 0]]]], [[3, 10, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 12, 1, 5, 1], [And(-2^(1/2) < v,v < -1), u = -v,
x < -1, And(x+1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [-1/
2, -1/2], [-3, -3]]]], [[3, 12, 1, 5, 2], [And(-2^(1/2) < v,v < -1), u = -v, x
< -1, And(x+1 < y,y < 0), z = -(y-x)^(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, 5, 3], [And(-2^(1
/2) < v,v < -1), u = -v, x < -1, And(x+1 < y,y < 0), And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743
/1048576, 1265743/1048576], [-2, -2], [-1/2, -1/2], [0, 0]]]], [[3, 12, 1, 5,
4], [And(-2^(1/2) < v,v < -1), u = -v, x < -1, And(x+1 < y,y < 0), z = (y-x)^(
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, 5, 5], [And(-2^(1/2) < v,v < -1), u = -v, x < -1, And(x+1 < y,y
< 0), (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1265743/1048576, 1265743/1048576], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[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 = x-u^2+v^2+1, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-3647693/
2097152, -3647693/2097152], [-581453/262144, -2325811/1048576], [0, 0]]]], [[3
, 16, 9, 5, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), 1 < x, And(x-1 <
y,y < 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(-1 < y,y < 0), z < -(y
+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(
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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = u^2+
x, z < u], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-\
1288231/1048576, -1288231/1048576], [239655/1048576, 29957/131072], [-3, -3]]]
], [[4, 5, 3, 8, 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], [239655/1048576, 29957/131072]
, [-1265743/1048576, -1265743/1048576]]]], [[4, 5, 3, 8, 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], [239655/1048576, 29957/131072], [0, 0]]]], [[4, 5,
3, 8, 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], [239655/1048576, 29957/131072], [1265743/
1048576, 1265743/1048576]]]], [[4, 5, 3, 8, 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], [
239655/1048576, 29957/131072], [3, 3]]]], [[4, 11, 4, 8, 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], [239655/524288, 479311/1048576],
[-3, -3]]]], [[4, 11, 4, 8, 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], [239655/524288, 479311/1048576], [-1265743/1048576, -1265743/1048576
]]]], [[4, 11, 4, 8, 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], [239655/524288, 479311/1048576], [0, 0]]]], [[4, 11, 4, 8,
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], [239655/524288, 
479311/1048576], [1265743/1048576, 1265743/1048576]]]], [[4, 11, 4, 8, 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], [239655/524288, 479311/
1048576], [3, 3]]]], [[4, 13, 4, 2, 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], [-773191/524288, -1546381/1048576], [0, 0]]]], [[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 = z], [regular_chain, [[-1/2, -1/2], [-3, -3], [1, 1], [-27/4, -27/4], [0, 0
]]]], [[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(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)
^(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(x < y,y < 0
), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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
= 0, z < -1], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1, -1], [0, 0], [-2
, -2]]]], [[5, 12, 4, 6, 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, 6, 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, 6, 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, 6, 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, 9, 1], [v = 0, u < -2^(1/2), x < -u^2-1, 0 < y, z < -(y-
x)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-11, -11], [1, 1], [-5, -5]]]],
[[6, 1, 1, 9, 2], [v = 0, u < -2^(1/2), x < -u^2-1, 0 < y, z = -(y-x)^(1/2)],
[regular_chain, [[0, 0], [-3, -3], [-11, -11], [1, 1], [-1816187/524288, -\
3632373/1048576]]]], [[6, 1, 1, 9, 3], [v = 0, u < -2^(1/2), x < -u^2-1, 0 < y
, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [-3, -3], [
-11, -11], [1, 1], [0, 0]]]], [[6, 1, 1, 9, 4], [v = 0, u < -2^(1/2), x < -u^2
-1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-11, -11], [1
, 1], [3632373/1048576, 1816187/524288]]]], [[6, 1, 1, 9, 5], [v = 0, u < -2^(
1/2), x < -u^2-1, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[0, 0], [-3, -3],
[-11, -11], [1, 1], [5, 5]]]], [[6, 4, 7, 5, 1], [v = 0, u = -1, And(0 < x,x <
1), And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1, -1],
[1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[6, 4, 7, 5, 2], [v = 0, u = -1, And(0 <
x,x < 1), And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1,
-1], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]], [[6, 4, 7, 5, 3], [v = 0, u = -1, 
And(0 < x,x < 1), And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[0, 0], [-1, -1], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[6, 4,
7, 5, 4], [v = 0, u = -1, And(0 < x,x < 1), And(x < y,y < x+2), z = (y-x)^(1/2
)], [regular_chain, [[0, 0], [-1, -1], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[6,
4, 7, 5, 5], [v = 0, u = -1, And(0 < x,x < 1), And(x < y,y < x+2), (y-x)^(1/2)
< z], [regular_chain, [[0, 0], [-1, -1], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[
6, 6, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [
And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, 0 < y, 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, 7, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -u^2+v^2-\
1, 0 < y, 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, 7, 3]
, [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, 0 < y, 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, 7, 4], [And(0 < v,v < 1), u <
-(v^2+2)^(1/2), x = -u^2+v^2-1, 0 < y, 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, 7, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2),
x = -u^2+v^2-1, 0 < y, (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, 9, 3, 1], [And(0 < v,v <
1), u = -(v^2+2)^(1/2), 1 < x, And(0 < y,y < x-1), z = z], [regular_chain, [[1
/2, 1/2], [-3/2, -3/2], [2, 2], [1/2, 1/2], [0, 0]]]], [[7, 6, 7, 6, 1], [And(
0 < v,v < 1), u = -v, 1 < x, y = x+1, z < -1], [regular_chain, [[1/2, 1/2], [-\
1/2, -1/2], [2, 2], [3, 3], [-2, -2]]]], [[7, 6, 7, 6, 2], [And(0 < v,v < 1),
u = -v, 1 < x, y = x+1, z = -1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2
, 2], [3, 3], [-1, -1]]]], [[7, 6, 7, 6, 3], [And(0 < v,v < 1), u = -v, 1 < x,
y = x+1, And(-1 < z,z < 1)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2]
, [3, 3], [0, 0]]]], [[7, 6, 7, 6, 4], [And(0 < v,v < 1), u = -v, 1 < x, y = x
+1, z = 1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2], [3, 3], [1, 1]]
]], [[7, 6, 7, 6, 5], [And(0 < v,v < 1), u = -v, 1 < x, y = x+1, 1 < z], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2], [3, 3], [2, 2]]]], [[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 < 0), z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [-3, -3], [-3345989/4194304, -3345989/
4194304], [-3, -3]]]], [[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 < 0), z = -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [-\
3345989/4194304, -3345989/4194304], [-1556087/1048576, -778043/524288]]]], [[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 < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [-\
3345989/4194304, -3345989/4194304], [0, 0]]]], [[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 < 0)
, z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [-3, -3], [-3345989/4194304, -3345989/4194304], [778043/524288, 
1556087/1048576]]]], [[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 < 0), (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [-\
3345989/4194304, -3345989/4194304], [3, 3]]]], [[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 <
0, z = z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [
1534619/2097152, 1534619/2097152], [-1, -1], [0, 0]]]], [[7, 13, 5, 7, 1], [
And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+
x+1), z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-1/2, -1/2], [
37/8, 37/8], [-4, -4]]]], [[7, 13, 5, 7, 2], [And(0 < v,v < 1), (v^2+2)^(1/2)
< u, And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 7, 3], [And(0 < v,v < 1), (v^2+2)^(1
/2) < u, And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3], [-1/2, -1/2], [37/8, 37/
8], [0, 0]]]], [[7, 13, 5, 7, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-1
< x,x < 0), And(0 < y,y < u^2-v^2+x+1), z = (y-x)^(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, 7, 5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0
), And(0 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2],
[3, 3], [-1/2, -1/2], [37/8, 37/8], [4, 4]]]], [[8, 3, 10, 2, 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, 9, 1, 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], [-1,
-1], [0, 0]]]], [[8, 11, 10, 7, 1], [v = 1, And(1 < u,u < 2^(1/2)), x = 1, And
(-u^2+3 < y,y < u^2+1), z < -(y-1)^(1/2)], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [1, 1], [2, 2], [-2, -2]]]], [[8, 11, 10, 7, 2], [v
= 1, And(1 < u,u < 2^(1/2)), x = 1, And(-u^2+3 < y,y < u^2+1), z = -(y-1)^(1/2
)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1, 1], [2, 2
], [-1, -1]]]], [[8, 11, 10, 7, 3], [v = 1, And(1 < u,u < 2^(1/2)), 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], [1265743/1048576, 1265743/1048576], [1, 1], [2, 2], [0, 0]]]], [[8,
11, 10, 7, 4], [v = 1, And(1 < u,u < 2^(1/2)), x = 1, And(-u^2+3 < y,y < u^2+1
), z = (y-1)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [1, 1], [2, 2], [1, 1]]]], [[8, 11, 10, 7, 5], [v = 1, And(1 < u,u <
2^(1/2)), x = 1, And(-u^2+3 < y,y < u^2+1), (y-1)^(1/2) < z], [regular_chain,
[[1, 1], [1265743/1048576, 1265743/1048576], [1, 1], [2, 2], [2, 2]]]], [[8, 
13, 9, 6, 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, 6, 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, 6, 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, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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(1 < y,y < u^2-v^2+2), 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, 7, 2], [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 = -(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, 7, 3], [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), 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, 7, 4], [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 = (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, 7, 5], [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), (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, 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(
x-u^2+v^2+1 < y,y < 0), z < -(y-x)^(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(x-u^2+v^2+1 < y,y < 0), z = -(y-x)^(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(x-u^2+v^2
+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x-u^2+v^2+1 < y,y < 0),
z = (y-x)^(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(x-u^2+v^2+1 < y,y < 0), (y-x)^(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 = -2*u^2+2*v^2, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1299559/
524288, -2599117/1048576], [-24808659/8388608, -49617317/16777216], [0, 0]]]],
[[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(x < y,
y < 0), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-3913339/2097152, -3913339/2097152], [-3651195/2097152, -3651195/2097152], [-\
3651195/4194304, -3651195/4194304], [-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(x < y,y < 0), z = -(
y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [-3651195/2097152, -3651195/2097152], [-3651195/
4194304, -3651195/4194304], [-3913339/4194304, -7826677/8388608]]]], [[10, 3,
3, 5, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), And(
x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455
/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-3651195/
2097152, -3651195/2097152], [-3651195/4194304, -3651195/4194304], [-5/16777216
, -5/16777216]]]], [[10, 3, 3, 5, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)),
And(-u^2+1 < x,x < -1), And(x < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-\
3651195/2097152, -3651195/2097152], [-3651195/4194304, -3651195/4194304], [
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(x < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-3651195/2097152, -3651195/2097152], [-3651195/4194304, -3651195/
4194304], [2, 2]]]], [[10, 9, 3, 6, 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, 6, 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, 6,
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, 6, 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, 6, 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, 5, 1], [v = 2^(1/2), u = 0, 1 < x, And(x-1 <
y,y < 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(x < y,y < x-u^2+3), z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-3, -3], [-2870343/1048576, -2870343/1048576], [-2, -2]]]], [[10, 
15, 1, 3, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x < -u^2+1, And(x < y,y <
x-u^2+3), z = -(y-x)^(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, 3, 3], [v = 2^(1
/2), And(v < u,u < 3^(1/2)), x < -u^2+1, And(x < y,y < x-u^2+3), And(-(y-x)^(1
/2) < z,z < (y-x)^(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, 3, 4], [v = 2^(1/2), And(v
< u,u < 3^(1/2)), x < -u^2+1, And(x < y,y < x-u^2+3), z = (y-x)^(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, 3, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x
< -u^2+1, And(x < y,y < x-u^2+3), (y-x)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-3, -3], [-\
2870343/1048576, -2870343/1048576], [2, 2]]]], [[10, 16, 8, 7, 1], [v = 2^(1/2
), u = 3^(1/2), x = 1, 3 < y, z < -(y-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [908093/524288, 1816187/1048576], [1, 1], [4, 4], [-\
3, -3]]]], [[10, 16, 8, 7, 2], [v = 2^(1/2), u = 3^(1/2), x = 1, 3 < y, 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, 7, 3], [v = 2^(1/2), u = 3^(1/2), x = 1, 3 < y, 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, 7, 4], [v = 2^(1/2), u = 3^(1/2), x = 1, 3 < y, 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, 7,
5], [v = 2^(1/2), u = 3^(1/2), x = 1, 3 < y, (y-1)^(1/2) < z], [regular_chain,
[[741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [1, 1], [
4, 4], [3, 3]]]], [[10, 19, 5, 5, 1], [v = 2^(1/2), 2 < u, And(-1 < x,x < 0),
And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y
< 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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-u^2+v^2+1, z = z], [regular_chain, [[3, 3], [-5, -5], [16, 16],
[1, 1], [0, 0]]]], [[11, 5, 9, 1, 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], [-1, -1], [0, 0]]]], [[11, 7, 9, 5, 1], [2^(1/2
) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), And(x < y,y < u^2-v^2
+x+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549
/2097152], [1/2, 1/2], [1565147/2097152, 1565147/2097152], [-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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [1/2, 1/2], [1565147/2097152, 1565147/
2097152], [-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(x < y,y < u^2-v^2+x+1),
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [1/2, 1/2], [1565147/2097152, 1565147/2097152], [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(x < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[
3, 3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [1565147/2097152, 
1565147/2097152], [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(x < y,y < u^2-v^2
+x+1), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [1/2, 1/2], [1565147/2097152, 1565147/2097152], [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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3,
3], [1435023/524288, 1435023/524288], [-919691/524288, -919691/524288], [
395403/524288, 790807/1048576], [-3, -3]]]], [[11, 13, 3, 8, 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-u^2
+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [-919691/524288, -919691/524288], [395403/524288, 790807/
1048576], [-3321417/2097152, -415177/262144]]]], [[11, 13, 3, 8, 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-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], [-919691/524288, -\
919691/524288], [395403/524288, 790807/1048576], [0, 0]]]], [[11, 13, 3, 8, 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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [-919691/524288, -919691/524288], [395403/
524288, 790807/1048576], [415177/262144, 1660709/1048576]]]], [[11, 13, 3, 8,
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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [-919691/524288, -919691/524288], [395403/
524288, 790807/1048576], [3, 3]]]], [[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 < 0), z < -(y-u^2+v
^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-\
3161161/2097152, -395145/262144], [-133001/262144, -133001/262144], [-3, -3]]]
], [[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 < 0), z = -(y-u^2+v^2+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, 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 < 0), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3161161/2097152,
-395145/262144], [-133001/262144, -133001/262144], [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 < 0), z = (y-u^2+v^2+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, 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 < 0), (y-u^
2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-3161161/2097152, -395145/262144], [-133001/262144, -133001/262144]
, [3, 3]]]], [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^
(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-915943/
524288, -915943/524288], [391655/1048576, 391655/1048576], [-3, -3]]]], [[11,
19, 3, 7, 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 < u^2-v^2+x+1), z = -(y-x)^(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, 7, 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 < u^2-v^2+x+1), And(-(y-x)^
(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [-915943/524288, -915943/524288], [391655/1048576, 391655/
1048576], [0, 0]]]], [[11, 19, 3, 7, 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 < u^2-v^2+x+1), z =
(y-x)^(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, 7, 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 < u^2-v^2+x+
1), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [-915943/524288, -915943/524288], [391655/1048576, 391655/1048576],
[3, 3]]]], [[11, 20, 9, 6, 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, 6, 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, 6, 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, 2, 3, 1], [v < -2^(1/2), And(-(v^2+1)^(1/
2) < u,u < v), x = -u^2+v^2-1, And(-u^2+v^2-1 < 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], [-166446435/134217728, -166446435/
134217728], [-2, -2]]]], [[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(-u^2+v^2-1 < 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], [-166446435/134217728, -166446435/134217728]
, [-1055459/2097152, -527729/1048576]]]], [[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(-u^2+v^2-1 < 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],
[-166446435/134217728, -166446435/134217728], [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(-u^2+v^2-1 < 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], [-\
166446435/134217728, -166446435/134217728], [527729/1048576, 263865/524288]]]]
, [[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(-u^2+v^2-1 < 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], [-166446435/134217728, -166446435/134217728], [2, 2]]]], [[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 = 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], [-\
3192025/4194304, -399003/524288], [-2, -2]]]], [[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 = 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], [-3192025/4194304, -399003/524288]
, [-735979/1048576, -1471957/2097152]]]], [[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 = u^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], [-\
3192025/4194304, -399003/524288], [-1/4194304, -1/4194304]]]], [[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
= 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], [-3192025/
4194304, -399003/524288], [367989/524288, 735979/1048576]]]], [[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 =
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], [-3192025/
4194304, -399003/524288], [2, 2]]]], [[1, 10, 9, 4, 1], [v < -2^(1/2), u = -(v
^2-2)^(1/2), 1 < x, y = x-1, z = z], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [2, 2], [1, 1], [0, 0]]]], [[1, 12, 6, 5, 1], [v <
-2^(1/2), u = (v^2-2)^(1/2), x = 0, And(0 < y,y < 3), z < -y^(1/2)], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [0, 0], [3/2, 3/2], [
-3, -3]]]], [[1, 12, 6, 5, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 0, And(0
< y,y < 3), 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,
5, 3], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 4], [v < -2^(1/2), u = (v^2-2)^(1
/2), x = 0, And(0 < y,y < 3), 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, 5, 5], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 0, And(0
< y,y < 3), y^(1/2) < z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/
4096], [0, 0], [3/2, 3/2], [3, 3]]]], [[1, 18, 5, 1, 1], [v < -2^(1/2), u = (v
^2+1)^(1/2), And(-1 < x,x < 0), y < x, z = z], [regular_chain, [[-3, -3], [
207243/65536, 3315889/1048576], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[1, 20, 3,
5, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(x < y,y < 0),
z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0),
(y-x)^(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(0 < y,y < x), 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+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-1/2, -1/2], [3, 3], [-3, -3]]]], [[2, 4, 5, 7, 2], [v = -2
^(1/2), u = -3^(1/2), And(-1 < x,x < 0), x+2 < y, z = -(y-x)^(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, 7, 3], [v = -2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), x+2 < y, And
(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [3, 3], [0
, 0]]]], [[2, 4, 5, 7, 4], [v = -2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), x+2
< y, z = (y-x)^(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, 7, 5], [v = -2^(1/2), u = -3^(1/2), And(-1 < x
,x < 0), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [3, 3], [3
, 3]]]], [[2, 7, 6, 2, 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], [-479311/
1048576, -239655/524288], [-1, -1]]]], [[2, 7, 6, 2, 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], [-479311/1048576, -239655/524288], [0, 0]]]], [[2, 7
, 6, 2, 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], [-479311/1048576, -239655
/524288], [1, 1]]]], [[2, 9, 5, 5, 1], [v = -2^(1/2), And(-1 < u,u < 0), And(-\
1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(
x < y,y < 0), z = -(y-x)^(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(x < y,y < 0),
And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0)
, z = (y-x)^(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(x < y,y < 0), (y-x)^(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 < 0), z < -(y-u^2+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, 5, 2], [v = -2^(1/2), And(1 < u,u < -v), x = u^2-3, And(2*u
^2-4 < y,y < 0), z = -(y-u^2+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, 5, 3], [v = -2^(1/2), And(1 < u,u < -v), x = u^2-3, And(2*u^2-4
< y,y < 0), And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+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, 5, 4], [v = -2^(1/2), And(1 < u,u < -v), x = u^2-3, And(2*u^2
-4 < y,y < 0), z = (y-u^2+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, 5, 5], [v = -2^(1/2), And(1 < u,u < -v), x = u^2-3, And(2*u^2-4 <
y,y < 0), (y-u^2+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, 15, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 = z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3, -3], [0, 0], [-6860721/2097152, -6860721/2097152], [0,
0]]]], [[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 < -(u^2-v^2+1)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [-3647693/2097152, -3647693/2097152], [775271/
1048576, 96909/131072], [-3, -3]]]], [[3, 3, 3, 8, 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], [775271/1048576, 96909/131072], [-3301741/2097152, -825435/
524288]]]], [[3, 3, 3, 8, 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], [775271/1048576, 96909/131072], [0, 0]]]], [[3, 3, 3, 8, 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], [775271/1048576, 96909/131072], [
825435/524288, 1650871/1048576]]]], [[3, 3, 3, 8, 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], [775271/1048576, 96909/131072], [3, 3]]]], [[3, 7, 4, 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,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-3949363/4194304, -3949363/4194304], [-1, -1], [-1196411/2097152, -598205/
1048576], [-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 = 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], [-1374407/
2097152, -687203/1048576]]]], [[3, 7, 4, 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, 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, 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, z = (u^2-v^2+1)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304],
[-1, -1], [-1196411/2097152, -598205/1048576], [687203/1048576, 171801/262144]
]]], [[3, 7, 4, 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, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [-\
1196411/2097152, -598205/1048576], [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(0 < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [
763943/2097152, 763943/2097152], [-3, -3]]]], [[3, 9, 3, 7, 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-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [
763943/2097152, 763943/2097152], [-1516935/1048576, -758467/524288]]]], [[3, 9
, 3, 7, 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-u^2+v^2+1), And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0
, 0], [-1812519/1048576, -1812519/1048576], [763943/2097152, 763943/2097152],
[0, 0]]]], [[3, 9, 3, 7, 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-u^2+v^2+1), z
= (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0],
[-1812519/1048576, -1812519/1048576], [763943/2097152, 763943/2097152], [
758467/524288, 1516935/1048576]]]], [[3, 9, 3, 7, 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-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [763943/
2097152, 763943/2097152], [3, 3]]]], [[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 = 0, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [6860721/1048576, 3430361/524288],
[0, 0], [0, 0]]]], [[4, 2, 5, 5, 1], [v = -1, u = -3^(1/2), And(-1 < x,x < 0),
And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x
)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0),
(y-x)^(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, 0 < y, z < -(y+1)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [
-1, -1], [1, 1], [-3, -3]]]], [[4, 6, 2, 5, 2], [v = -1, u = -1, x = -1, 0 < y
, z = -(y+1)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [-1, -1], [1, 1], [-\
1482911/1048576, -741455/524288]]]], [[4, 6, 2, 5, 3], [v = -1, u = -1, x = -1
, 0 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1, -1], [-\
1, -1], [-1, -1], [1, 1], [0, 0]]]], [[4, 6, 2, 5, 4], [v = -1, u = -1, x = -1
, 0 < y, z = (y+1)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [-1, -1], [1,
1], [741455/524288, 1482911/1048576]]]], [[4, 6, 2, 5, 5], [v = -1, u = -1, x
= -1, 0 < y, (y+1)^(1/2) < z], [regular_chain, [[-1, -1], [-1, -1], [-1, -1],
[1, 1], [3, 3]]]], [[4, 8, 4, 1, 1], [v = -1, u = 0, x = -1, y < -1, z = z], [
regular_chain, [[-1, -1], [0, 0], [-1, -1], [-2, -2], [0, 0]]]], [[4, 14, 3, 1
, 1], [v = -1, u = 3^(1/2), And(-3 < x,x < -1), y < x-1, z = z], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-2, -2], [-4, -4]
, [0, 0]]]], [[4, 15, 11, 4, 1], [v = -1, 3^(1/2) < u, u^2-2 < x, y = x-u^2+2,
z = z], [regular_chain, [[-1, -1], [3, 3], [8, 8], [1, 1], [0, 0]]]], [[5, 4,
5, 1, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y < x, z
= z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-1/2
, -1/2], [-2, -2], [0, 0]]]], [[5, 6, 4, 2, 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, 2, 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, 2, 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, 6, 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], [424157/524288, 848315/
1048576], [-3, -3]]]], [[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 = 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], [424157/524288, 848315/1048576], [-19417/16384, -\
1242687/1048576]]]], [[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 = 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], [424157/524288, 848315/1048576]
, [0, 0]]]], [[5, 9, 6, 6, 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], [424157/524288, 848315/1048576], [1242687/1048576, 19417/16384]]]],
[[5, 9, 6, 6, 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], [
424157/524288, 848315/1048576], [3, 3]]]], [[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 < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [-1/2, -1/2], [3, 3], [-3, -3]]]], [[5, 11, 5, 9, 2], [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 = -(y-x)^(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, 9, 3], [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, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1/2, -1/2], [3
, 3], [0, 0]]]], [[5, 11, 5, 9, 4], [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 = (y-x)^(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, 9, 5], [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, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [-1/2, -1/2], [3, 3], [3, 3]]]], [[6, 1, 9, 7, 1], [v = 0, u < -2^(1/
2), And(1 < x,x < u^2-1), And(x < y,y < u^2+x+1), z < -(y-x)^(1/2)], [
regular_chain, [[0, 0], [-3, -3], [9/2, 9/2], [19/2, 19/2], [-4, -4]]]], [[6,
1, 9, 7, 2], [v = 0, u < -2^(1/2), And(1 < x,x < u^2-1), And(x < y,y < u^2+x+1
), z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [9/2, 9/2], [19/2, 19
/2], [-146543/65536, -2344687/1048576]]]], [[6, 1, 9, 7, 3], [v = 0, u < -2^(1
/2), And(1 < x,x < u^2-1), And(x < y,y < u^2+x+1), And(-(y-x)^(1/2) < z,z < (y
-x)^(1/2))], [regular_chain, [[0, 0], [-3, -3], [9/2, 9/2], [19/2, 19/2], [0,
0]]]], [[6, 1, 9, 7, 4], [v = 0, u < -2^(1/2), And(1 < x,x < u^2-1), And(x < y
,y < u^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [9/2, 9/2]
, [19/2, 19/2], [2344687/1048576, 146543/65536]]]], [[6, 1, 9, 7, 5], [v = 0,
u < -2^(1/2), And(1 < x,x < u^2-1), And(x < y,y < u^2+x+1), (y-x)^(1/2) < z],
[regular_chain, [[0, 0], [-3, -3], [9/2, 9/2], [19/2, 19/2], [4, 4]]]], [[6, 3
, 7, 3, 1], [v = 0, And(-2^(1/2) < u,u < -1), And(0 < x,x < u^2-1), And(x-u^2+
1 < 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, 6, 7, 1], [v = 0, And(1 < u,u < 2^(1/2)), x = 0, u^2+1 <
y, z < -y^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576],
[0, 0], [4, 4], [-3, -3]]]], [[6, 9, 6, 7, 2], [v = 0, And(1 < u,u < 2^(1/2)),
x = 0, u^2+1 < y, z = -y^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [0, 0], [4, 4], [-2, -2]]]], [[6, 9, 6, 7, 3], [v = 0, And(1
< u,u < 2^(1/2)), x = 0, u^2+1 < y, 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, 7, 4], [v = 0, And(1 < u,u < 2^(1/2)), x = 0, u^2+1 < y, z
= y^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [0, 0
], [4, 4], [2, 2]]]], [[6, 9, 6, 7, 5], [v = 0, And(1 < u,u < 2^(1/2)), x = 0,
u^2+1 < y, y^(1/2) < z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [0, 0], [4, 4], [3, 3]]]], [[6, 11, 4, 3, 1], [v = 0, 2^(1/2) < u, x
= -1, And(-u^2 < y,y < -1), z = z], [regular_chain, [[0, 0], [3, 3], [-1, -1],
[-5, -5], [0, 0]]]], [[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 < 0, z = z], [regular_chain, [[1/2, 1/
2], [-343151/262144, -343151/262144], [243021/524288, 486043/1048576], [-1, -1
], [0, 0]]]], [[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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 8, 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, 8,
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, 8, 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, 8, 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, 8, 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, 7, 1
], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, And(u^2+x < y,y < 0), z <
-(y-x)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304],
[-4, -4], [-3198691/4194304, -3198691/4194304], [-3, -3]]]], [[8, 3, 1, 7, 2],
[v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, And(u^2+x < y,y < 0), z = -(
y-x)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-\
4, -4], [-3198691/4194304, -3198691/4194304], [-3773343/2097152, -7546685/
4194304]]]], [[8, 3, 1, 7, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^
2, And(u^2+x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-4, -4], [-\
3198691/4194304, -3198691/4194304], [-1/8388608, -1/8388608]]]], [[8, 3, 1, 7,
4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, And(u^2+x < y,y < 0), z
= (y-x)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304],
[-4, -4], [-3198691/4194304, -3198691/4194304], [1886671/1048576, 117917/65536
]]]], [[8, 3, 1, 7, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, And(
u^2+x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-6598195/4194304
, -6598195/4194304], [-4, -4], [-3198691/4194304, -3198691/4194304], [3, 3]]]]
, [[8, 7, 2, 7, 1], [v = 1, And(-1 < u,u < 0), x = u^2-2, 0 < y, z < -(y-u^2+2
)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-7/4, -7/4], [1, 1], [-3, -3
]]]], [[8, 7, 2, 7, 2], [v = 1, And(-1 < u,u < 0), x = u^2-2, 0 < y, z = -(y-u
^2+2)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-7/4, -7/4], [1, 1], [-\
1738867/1048576, -3477733/2097152]]]], [[8, 7, 2, 7, 3], [v = 1, And(-1 < u,u
< 0), x = u^2-2, 0 < y, And(-(y-u^2+2)^(1/2) < z,z < (y-u^2+2)^(1/2))], [
regular_chain, [[1, 1], [-1/2, -1/2], [-7/4, -7/4], [1, 1], [-1/4194304, -1/
4194304]]]], [[8, 7, 2, 7, 4], [v = 1, And(-1 < u,u < 0), x = u^2-2, 0 < y, z
= (y-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-7/4, -7/4], [1, 1
], [869433/524288, 1738867/1048576]]]], [[8, 7, 2, 7, 5], [v = 1, And(-1 < u,u
< 0), x = u^2-2, 0 < y, (y-u^2+2)^(1/2) < z], [regular_chain, [[1, 1], [-1/2,
-1/2], [-7/4, -7/4], [1, 1], [3, 3]]]], [[8, 9, 1, 6, 1], [v = 1, And(0 < u,u
< 1), x < u^2-2, y = x-u^2+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, 6, 2], [v = 1, And(
0 < u,u < 1), x < u^2-2, y = x-u^2+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, 6, 3], [v = 1, And(0 < u,u < 1), x < u^2-2, y = x-u^2+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, 6, 4], [v = 1, And(0 < u,u < 1), x <
u^2-2, y = x-u^2+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, 6, 5], [v
= 1, And(0 < u,u < 1), x < u^2-2, y = x-u^2+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
, 8, 5, 1], [v = 1, u = 3^(1/2), x = 1, And(1 < y,y < 4), z < -(y-1)^(1/2)], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [1, 1], [5/2, 5/2],
[-3, -3]]]], [[8, 14, 8, 5, 2], [v = 1, u = 3^(1/2), x = 1, And(1 < y,y < 4),
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, 5, 3],
[v = 1, u = 3^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 4], [v = 1, u = 3^(1/2), x = 1, And(1 < y,y
< 4), 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,
5, 5], [v = 1, u = 3^(1/2), x = 1, And(1 < y,y < 4), (y-1)^(1/2) < z], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [1, 1], [5/2, 5/2],
[3, 3]]]], [[9, 1, 5, 4, 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, 4, 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, 4, 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, 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 < x, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-5818805/4194304, -5818805/4194304], [-646847/524288, -646847/524288], [-3
, -3], [0, 0]]]], [[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(u^2-v^2+x+1 < y,y < 0), z < -(y-
x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [-1794615/
4194304, -1794615/4194304], [-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(u^2-v^2+x
+1 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/
2097152], [-1794615/4194304, -1794615/4194304], [-3883701/4194304, -7767401/
8388608]]]], [[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(u^2-v^2+x+1 < y,y < 0), And(-(y-x)^(1
/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152],
[-1794615/4194304, -1794615/4194304], [-1/16777216, -1/16777216]]]], [[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(u^2-v^2+x+1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
2695357/2097152, -2695357/2097152], [-1794615/4194304, -1794615/4194304], [
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(u^2-v^2+x+1 < y
,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152],
[-1794615/4194304, -1794615/4194304], [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(1 < y,y <
-u^2+v^2+2), z < -(y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [1, 1], [2336807/1048576, 2336807/1048576], [-3, -3]]]], [[9
, 9, 10, 7, 2], [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 = -(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, 7, 3], [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), 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, 7, 4], [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 = (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, 7,
5], [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), (y-1)^(1/2) < z], [regular_chain, [[1265743/1048576
, 1265743/1048576], [0, 0], [1, 1], [2336807/1048576, 2336807/1048576], [3, 3]
]]], [[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 = 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
], [974659/1048576, 243665/262144], [-2, -2]]]], [[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 = 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], [974659/1048576, 243665/262144
], [-1374407/2097152, -687203/1048576]]]], [[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 = u^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], [
974659/1048576, 243665/262144], [0, 0]]]], [[9, 11, 9, 6, 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], [974659/1048576, 243665/262144],
[687203/1048576, 171801/262144]]]], [[9, 11, 9, 6, 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], [974659/1048576, 243665/262144], [2, 2]]
]], [[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 = 1, z < 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [1, 1], [1, 1], [-1, -1]]]], [[9, 15
, 10, 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, 10, 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]]]], [[9, 17, 7, 5, 1], [And(1 < v,v <
2^(1/2)), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(0 < y,y < x), 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 = u^2, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [1, 1], [1297479/524288, 
2594959/1048576], [-3, -3]]]], [[10, 5, 10, 8, 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], [
1297479/524288, 2594959/1048576], [-636691/524288, -1273381/1048576]]]], [[10,
5, 10, 8, 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], [1297479/524288, 
2594959/1048576], [0, 0]]]], [[10, 5, 10, 8, 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], [1297479/
524288, 2594959/1048576], [1273381/1048576, 636691/524288]]]], [[10, 5, 10, 8,
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], [1297479/524288, 2594959/1048576], [3, 3]]]], [[10,
7, 11, 3, 1], [v = 2^(1/2), And(-v < u,u < -1), 1 < x, And(0 < y,y < x), z = z
], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [1, 1], [0, 0]]]], [[10, 11, 8, 7, 1], [v = 2^(1/2),
And(0 < u,u < 1), x = -u^2+1, -2*u^2+4 < y, 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, 7, 2], [v = 2^(1/2), And(0 < u,u < 1), x = -u^2+
1, -2*u^2+4 < y, 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, 7, 3], [v = 2^(1/2), And(0 < u,u < 1), x = -u^2+1, -2
*u^2+4 < y, 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, 7, 4], [v = 2^(1/2), And(0 < u,u < 1), x = -u^2+1, -2*u^2+4 < y, 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, 7,
5], [v = 2^(1/2), And(0 < u,u < 1), x = -u^2+1, -2*u^2+4 < y, (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, 7, 6, 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], [239655/1048576, 29957/131072], [-2, -2]]]], [[10, 13, 7,
6, 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], [239655/1048576
, 29957/131072], [-1417877/2097152, -354469/524288]]]], [[10, 13, 7, 6, 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], [239655/1048576, 29957/131072], [0, 0]]]], [[10, 13, 7, 6, 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], [239655/1048576, 29957/
131072], [354469/524288, 708939/1048576]]]], [[10, 13, 7, 6, 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], [239655/1048576, 29957/131072],
[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(u^2-v^2+x+1 < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-4, -4], [-\
3158215/4194304, -3158215/4194304], [-3, -3]]]], [[11, 3, 1, 7, 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 < 0), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [-4, -4], [-3158215/4194304, -3158215/4194304], [-3778963/
2097152, -7557925/4194304]]]], [[11, 3, 1, 7, 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 < 0), And(
-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-3396811/1048576
, -3396811/1048576], [-4, -4], [-3158215/4194304, -3158215/4194304], [-1/
8388608, -1/8388608]]]], [[11, 3, 1, 7, 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 < 0), z = (y-x)^(
1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-4, -4]
, [-3158215/4194304, -3158215/4194304], [1889481/1048576, 944741/524288]]]], [
[11, 3, 1, 7, 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 < 0), (y-x)^(1/2) < z], [regular_chain, [[
3, 3], [-3396811/1048576, -3396811/1048576], [-4, -4], [-3158215/4194304, -\
3158215/4194304], [3, 3]]]], [[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 = x, z < 0
], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-4, -4],
[-4, -4], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[3, 3], [
-22960369/8388608, -22960369/8388608], [-4, -4], [-4, -4], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [-4, -4], [-4, -4], [1, 1]]]], [[11, 10, 7, 3, 1], [2^(1/2) < v, u =
-(v^2-2)^(1/2), And(0 < x,x < 1), And(x-1 < 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, 2, 1, 1], [2^(1/2) < v, u = v, x = -1, y < -1, z = z], [
regular_chain, [[3, 3], [3, 3], [-1, -1], [-2, -2], [0, 0]]]], [[11, 18, 2, 5,
1], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -2, 0 < y, z < -(y+2)^(1/2)], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-2, -2], [1, 1], [-3
, -3]]]], [[11, 18, 2, 5, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -2, 0 < y,
z = -(y+2)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [
-2, -2], [1, 1], [-1816187/1048576, -3632373/2097152]]]], [[11, 18, 2, 5, 3],
[2^(1/2) < v, u = (v^2+1)^(1/2), x = -2, 0 < y, And(-(y+2)^(1/2) < z,z < (y+2)
^(1/2))], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-2, -2],
[1, 1], [-1/4194304, -1/4194304]]]], [[11, 18, 2, 5, 4], [2^(1/2) < v, u = (v^
2+1)^(1/2), x = -2, 0 < y, z = (y+2)^(1/2)], [regular_chain, [[3, 3], [207243/
65536, 3315889/1048576], [-2, -2], [1, 1], [908093/524288, 1816187/1048576]]]]
, [[11, 18, 2, 5, 5], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -2, 0 < y, (y+2)^(1
/2) < z], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-2, -2],
[1, 1], [3, 3]]]], [[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 < 2*u^2-2*v^2), z < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [5, 5], [15, 15], [47/2, 47/2], [-4, -4]]]], [[11, 21,
10, 5, 2], [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 = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [
15, 15], [47/2, 47/2], [-24456785/8388608, -1528549/524288]]]], [[11, 21, 10,
5, 3], [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), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [
regular_chain, [[3, 3], [5, 5], [15, 15], [47/2, 47/2], [0, 0]]]], [[11, 21, 
10, 5, 4], [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 = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [15
, 15], [47/2, 47/2], [1528549/524288, 3057099/1048576]]]], [[11, 21, 10, 5, 5]
, [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), (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [5, 5], [15, 15], [
47/2, 47/2], [4, 4]]]], [[1, 2, 2, 2, 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, 10, 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+2), z <
-(y-1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576]
, [1, 1], [1178087/524288, 1178087/524288], [-3, -3]]]], [[1, 3, 10, 7, 2], [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 = -(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, 7, 3], [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), 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, 7, 4], [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 = (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, 7, 5], [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), (y-1)^(1/2) < z], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [1, 1], [
1178087/524288, 1178087/524288], [3, 3]]]], [[1, 7, 11, 3, 1], [v < -2^(1/2),
And(v < u,u < -(v^2-1)^(1/2)), 1 < x, And(0 < y,y < x), z = z], [regular_chain
, [[-3, -3], [-6111549/2097152, -6111549/2097152], [2, 2], [1, 1], [0, 0]]]],
[[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 = 1, z < 0], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369
/8388608], [1, 1], [1, 1], [-1, -1]]]], [[1, 9, 10, 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, 10, 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, 4, 5, 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 < -(y+1)^(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(u^2-v^2 < y,y < 0), z = -(y+1)^(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(u^2-v^
2 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(u^2-v^2 < y,y < 0), z = (y+1)^(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(u^2-v^2 < y
,y < 0), (y+1)^(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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3],
[403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [-64673/
262144, -258691/1048576], [-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 = x-u^2+v^2+1, z = -(-u
^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [
-1579769/2097152, -1579769/2097152], [-64673/262144, -258691/1048576], [-\
373161/524288, -1492643/2097152]]]], [[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 = x-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], [-1579769/2097152, -1579769/2097152], [-64673/262144,
-258691/1048576], [-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 = x-u^2+v^2+1,
z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-1579769/2097152, -1579769/2097152], [-64673/262144, -258691/1048576
], [746321/1048576, 373161/524288]]]], [[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 = x-u^2+v^2+1, (-u^2+v^
2+1)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-\
1579769/2097152, -1579769/2097152], [-64673/262144, -258691/1048576], [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(
1 < y,y < u^2), z < -(y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [-3, -3], [1, 1], [5, 5], [-3, -3]]]], [[2, 1, 8, 7, 2], [v = -2^(1/
2), u < -2, x = 1, And(1 < y,y < u^2), z = -(y-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [1, 1], [5, 5], [-2, -2]]]], [[2,
1, 8, 7, 3], [v = -2^(1/2), u < -2, x = 1, And(1 < y,y < u^2), 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, 7, 4], [v = -2^(1/2), u < -2,
x = 1, And(1 < y,y < u^2), z = (y-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [1, 1], [5, 5], [2, 2]]]], [[2, 1, 8, 7, 5
], [v = -2^(1/2), u < -2, x = 1, And(1 < y,y < u^2), (y-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [1, 1], [5, 5],
[3, 3]]]], [[2, 10, 4, 3, 1], [v = -2^(1/2), u = 0, x = -1, And(-2 < y,y < -1)
, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1, -1
], [-3/2, -3/2], [0, 0]]]], [[2, 12, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 18, 1, 5, 1], [v = -2^(1/2), u = 2
, x < -3, And(x < y,y < x+3), z < -(y-x)^(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 < y,y < x+3), z = -(y-x)^(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 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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 < y
,y < x+3), z = (y-x)^(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 < y,y < x+3), (y-x)^(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, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2],
[-3, -3], [0, 0]]]], [[3, 6, 1, 7, 1], [And(-2^(1/2) < v,v < -1), u = v, x < -\
1, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [1, 1], [-3, -3]]]],
[[3, 6, 1, 7, 2], [And(-2^(1/2) < v,v < -1), u = v, x < -1, 0 < y, z = -(y-x)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [-2, -2], [1, 1], [-1816187/1048576, -3632373/
2097152]]]], [[3, 6, 1, 7, 3], [And(-2^(1/2) < v,v < -1), u = v, x < -1, 0 < y
, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [1, 1], [-1
/4194304, -1/4194304]]]], [[3, 6, 1, 7, 4], [And(-2^(1/2) < v,v < -1), u = v,
x < -1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [1, 1], [908093/
524288, 1816187/1048576]]]], [[3, 6, 1, 7, 5], [And(-2^(1/2) < v,v < -1), u =
v, x < -1, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [1, 1], [3,
3]]]], [[3, 10, 2, 5, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -2
, 0 < y, z < -(y+2)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [354469/524288, 708939/1048576], [-2, -2], [1, 1], [-3, -3]]]], [[3,
10, 2, 5, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -2, 0 < y, z =
-(y+2)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/
524288, 708939/1048576], [-2, -2], [1, 1], [-1816187/1048576, -3632373/2097152
]]]], [[3, 10, 2, 5, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -2,
0 < y, And(-(y+2)^(1/2) < z,z < (y+2)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-2, -2], [1, 1],
[-1/4194304, -1/4194304]]]], [[3, 10, 2, 5, 4], [And(-2^(1/2) < v,v < -1), u =
(v^2-1)^(1/2), x = -2, 0 < y, z = (y+2)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-2, -2], [1, 1],
[908093/524288, 1816187/1048576]]]], [[3, 10, 2, 5, 5], [And(-2^(1/2) < v,v <
-1), u = (v^2-1)^(1/2), x = -2, 0 < y, (y+2)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-2, -2],
[1, 1], [3, 3]]]], [[3, 12, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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(x-u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-3647693/
2097152, -3647693/2097152], [-8299315/4194304, -8299315/4194304], [0, 0]]]], [
[3, 16, 9, 6, 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, 6, 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, 6, 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, 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, 4, 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, 4, 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, 3,
7, 1], [v = -1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(0 < y,y <
u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-1288231/1048576, -1288231/1048576], [239655/2097152, 
239655/2097152], [-3, -3]]]], [[4, 5, 3, 7, 2], [v = -1, And(-2^(1/2) < u,u <
-1), And(-u^2 < x,x < -1), And(0 < y,y < u^2+x), z = -(y-x)^(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, 7, 3], [v = -1, And(-2^(1/2) < u,u < -1), And
(-u^2 < x,x < -1), And(0 < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1288231/
1048576, -1288231/1048576], [239655/2097152, 239655/2097152], [0, 0]]]], [[4,
5, 3, 7, 4], [v = -1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(0 <
y,y < u^2+x), z = (y-x)^(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, 7, 5], [v = -\
1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(0 < y,y < u^2+x), (y-x)
^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576],
[-1288231/1048576, -1288231/1048576], [239655/2097152, 239655/2097152], [3, 3]
]]], [[4, 11, 4, 9, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, u^2-1 < y, z
< -(y+1)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576]
, [-1, -1], [2, 2], [-3, -3]]]], [[4, 11, 4, 9, 2], [v = -1, And(1 < u,u < 2^(
1/2)), x = -1, u^2-1 < y, z = -(y+1)^(1/2)], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-1, -1], [2, 2], [-1816187/1048576, -\
3632373/2097152]]]], [[4, 11, 4, 9, 3], [v = -1, And(1 < u,u < 2^(1/2)), x = -\
1, u^2-1 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1, -1
], [1265743/1048576, 1265743/1048576], [-1, -1], [2, 2], [-1/4194304, -1/
4194304]]]], [[4, 11, 4, 9, 4], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, u^2-1
< y, z = (y+1)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-1, -1], [2, 2], [908093/524288, 1816187/1048576]]]], [[4, 11, 4, 9
, 5], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, u^2-1 < y, (y+1)^(1/2) < z], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1, -1], [2, 2]
, [3, 3]]]], [[4, 13, 4, 3, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -1,
And(-u^2+1 < y,y < -1), z = z], [regular_chain, [[-1, -1], [3299097/2097152, 
3299097/2097152], [-1, -1], [-2594957/2097152, -2594957/2097152], [0, 0]]]], [
[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 = z], [regular_chain, [[-1/2, -1/2], [-3, -3], [1, 1], [-8, -8], [0, 0]]]]
, [[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 = 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, 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 = 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, 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 = 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, 7, 1], [And
(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 2), z < -(y+1)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1, -1], [1, 1], [-3, -3]]]], [[
5, 12, 4, 7, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -1, And(0 < y,y <
2), z = -(y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1, -1], [1
, 1], [-1482911/1048576, -741455/524288]]]], [[5, 12, 4, 7, 3], [And(-1 < v,v
< 0), u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 2), And(-(y+1)^(1/2) < z,z < (y
+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1, -1], [1, 1], [0,
0]]]], [[5, 12, 4, 7, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -1, And(0
< y,y < 2), z = (y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1,
-1], [1, 1], [741455/524288, 1482911/1048576]]]], [[5, 12, 4, 7, 5], [And(-1 <
v,v < 0), u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 2), (y+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1, -1], [1, 1], [3, 3]]]], [[6, 1,
2, 1, 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], [-19, -19], [0, 0]]]], [[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 < 2), z < -(y-1)^(1/2)], [
regular_chain, [[0, 0], [0, 0], [1, 1], [3/2, 3/2], [-2, -2]]]], [[6, 6, 6, 5,
2], [v = 0, u = 0, x = 1, And(1 < y,y < 2), z = -(y-1)^(1/2)], [regular_chain,
[[0, 0], [0, 0], [1, 1], [3/2, 3/2], [-1482911/2097152, -741455/1048576]]]], [
[6, 6, 6, 5, 3], [v = 0, u = 0, x = 1, And(1 < y,y < 2), 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, 5, 4], [v = 0, u = 0, x = 1, And(1 < y,y < 2), z = (y-1)^(1/2)
], [regular_chain, [[0, 0], [0, 0], [1, 1], [3/2, 3/2], [741455/1048576, 46341
/65536]]]], [[6, 6, 6, 5, 5], [v = 0, u = 0, x = 1, And(1 < y,y < 2), (y-1)^(1
/2) < z], [regular_chain, [[0, 0], [0, 0], [1, 1], [3/2, 3/2], [2, 2]]]], [[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 < x-u^2+v^2+1, z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -43/
8], [-15, -15], [0, 0]]]], [[7, 2, 9, 4, 1], [And(0 < v,v < 1), u = -(v^2+2)^(
1/2), 1 < x, y = x-1, z = z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [2, 2
], [1, 1], [0, 0]]]], [[7, 6, 7, 5, 1], [And(0 < v,v < 1), u = -v, 1 < x, And(
x < y,y < x+1), z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2],
[2, 2], [5/2, 5/2], [-2, -2]]]], [[7, 6, 7, 5, 2], [And(0 < v,v < 1), u = -v,
1 < x, And(x < y,y < x+1), z = -(y-x)^(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, 5, 3], [And(0 < v,v < 1), u = -v, 1 < x, And(x < y,y < x+1), And(-(y-x)^(1/
2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2], [
5/2, 5/2], [0, 0]]]], [[7, 6, 7, 5, 4], [And(0 < v,v < 1), u = -v, 1 < x, And(
x < y,y < x+1), z = (y-x)^(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, 5, 5], [And(0
< v,v < 1), u = -v, 1 < x, And(x < y,y < x+1), (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2], [5/2, 5/2], [2, 2]]]], [[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], [-1672995/1048576, -3345989/
2097152], [-3, -3]]]], [[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], [-\
1672995/1048576, -3345989/2097152], [-19417/16384, -1242687/1048576]]]], [[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], [-\
1672995/1048576, -3345989/2097152], [0, 0]]]], [[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], [-1672995/1048576, -3345989/2097152], [1242687/1048576, 19417/
16384]]]], [[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], [-1672995/1048576, -\
3345989/2097152], [3, 3]]]], [[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, 2*u^2-2*v^2 < y, z < -(y-u^2+v^2
+1)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [
243021/524288, 486043/1048576], [4, 4], [-3, -3]]]], [[7, 11, 8, 7, 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, 2*u^2-2*v
^2 < y, z = -(y-u^2+v^2+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, 7, 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, 2*u^2-2*v^2 < y, And(-(y-u^2+v^2+1)^(1/
2) < z,z < (y-u^2+v^2+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, 7, 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, 2*u^2-2*v^2 < y, z = (y-u^2+v^2+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, 7, 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,
2*u^2-2*v^2 < y, (y-u^2+v^2+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, 6, 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, 6, 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, 6
, 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, 6, 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, 6, 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
, 10, 3, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1, And(0 < y,y < -u^2
+3), z = z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [1
, 1], [550769/2097152, 550769/2097152], [0, 0]]]], [[8, 5, 9, 2, 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, 6, 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
], [1617841/1048576, 808921/524288], [-2, -2]]]], [[8, 11, 10, 6, 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], [1617841/
1048576, 808921/524288], [-772605/1048576, -1545209/2097152]]]], [[8, 11, 10,
6, 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], [1617841/1048576, 808921/524288], [-1/4194304, -1/4194304]]]
], [[8, 11, 10, 6, 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], [1617841/1048576, 808921/524288], [193151/262144, 772605/1048576]]]],
[[8, 11, 10, 6, 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], [1617841/1048576, 808921/524288], [2, 2]]]], [[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-u^2+2 < y,y < x), 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, 0 < y, z < -
(y+3)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-3, -3], [1, 1], [-3, -3]]]], [[9, 2, 2, 7, 2], [
And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -3, 0 < y, z = -(y+3)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-3, -3], [1, 1], [-2, -2]]]], [[9, 2, 2, 7, 3], [And(1 < v,
v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -3, 0 < y, And(-(y+3)^(1/2) < z,z < (y+3
)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-3, -3], [1, 1], [0, 0]]]], [[9, 2, 2, 7, 4], [
And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -3, 0 < y, z = (y+3)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-3, -3], [1, 1], [2, 2]]]], [[9, 2, 2, 7, 5], [And(1 < v,v
< 2^(1/2)), u = -(v^2+2)^(1/2), x = -3, 0 < y, (y+3)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-3, -3], [1, 1], [3, 3]]]], [[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 = 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], [3647693/1048576, 1823847/
524288], [-3, -3]]]], [[9, 3, 10, 8, 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], [3647693/1048576, 1823847/524288], [-3301741/
2097152, -825435/524288]]]], [[9, 3, 10, 8, 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], [3647693/1048576, 
1823847/524288], [0, 0]]]], [[9, 3, 10, 8, 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], [3647693/1048576, 1823847/524288], [825435/524288,
1650871/1048576]]]], [[9, 3, 10, 8, 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], [3647693/1048576, 1823847/524288], [3, 3]]]], [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
2587387/2097152, -2587387/2097152], [-1470707/2097152, -735353/1048576], [-2,
-2]]]], [[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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-2587387/2097152, -2587387/2097152], [-1470707/2097152, -735353/
1048576], [-765155/1048576, -1530309/2097152]]]], [[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 =
x-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], [-2587387/2097152, -2587387/2097152], [-1470707/2097152, -735353/
1048576], [-1/4194304, -1/4194304]]]], [[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 = x-u^2+v^2+1
, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [1454701/1048576, 1454701/1048576], [-2587387/2097152, -2587387/2097152], [-\
1470707/2097152, -735353/1048576], [382577/524288, 765155/1048576]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
2587387/2097152, -2587387/2097152], [-1470707/2097152, -735353/1048576], [2, 2
]]]], [[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 < -2*u^2+2*v^2, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1299559/
524288, -2599117/1048576], [-4, -4], [0, 0]]]], [[10, 1, 6, 5, 1], [v = 2^(1/2
), u < -2, x = 0, And(0 < y,y < u^2-1), z < -y^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [0, 0], [4, 4], [-3, -3]]]], [[10,
1, 6, 5, 2], [v = 2^(1/2), u < -2, x = 0, And(0 < y,y < u^2-1), z = -y^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [0, 0], [4, 4], [
-2, -2]]]], [[10, 1, 6, 5, 3], [v = 2^(1/2), u < -2, x = 0, And(0 < y,y < u^2-\
1), 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, 5, 4], [v = 2^(1/2)
, u < -2, x = 0, And(0 < y,y < u^2-1), z = y^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [0, 0], [4, 4], [2, 2]]]], [[10, 1, 6, 5,
5], [v = 2^(1/2), u < -2, x = 0, And(0 < y,y < u^2-1), y^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [0, 0], [4, 4], [3
, 3]]]], [[10, 3, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 5, 1], [v = 2^(1/2)
, And(-1 < u,u < 0), And(u^2-3 < x,x < -1), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0),
And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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-1, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [2
, 2], [1, 1], [0, 0]]]], [[10, 15, 1, 4, 1], [v = 2^(1/2), And(v < u,u < 3^(1/
2)), x < -u^2+1, y = x-u^2+3, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-3, -3], [-\
1297479/524288, -2594957/1048576], [-2, -2]]]], [[10, 15, 1, 4, 2], [v = 2^(1/
2), And(v < u,u < 3^(1/2)), x < -u^2+1, y = x-u^2+3, z = -(-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-3, -3], [-1297479/524288, -2594957/1048576], [-1519901/2097152, -\
379975/524288]]]], [[10, 15, 1, 4, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x
< -u^2+1, y = x-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], [-3, -3], [-1297479/524288, -2594957/1048576], [0, 0]]]], [[10, 15,
1, 4, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x < -u^2+1, y = x-u^2+3, z = (
-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-3, -3], [-1297479/524288, -2594957/1048576], [
379975/524288, 759951/1048576]]]], [[10, 15, 1, 4, 5], [v = 2^(1/2), And(v < u
,u < 3^(1/2)), x < -u^2+1, y = x-u^2+3, (-u^2+3)^(1/2) < z], [regular_chain, [
[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-3, -3]
, [-1297479/524288, -2594957/1048576], [2, 2]]]], [[10, 16, 9, 1, 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], [-1, -1], [0, 0]]]
], [[10, 19, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [2^(1/2) < v, u < -(v^2+2)^
(1/2), u^2-v^2-1 < x, And(x-u^2+v^2+1 < y,y < x), 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, u^2-v^2+1 < y, z < -y^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [0, 0], [3, 3], [-3,
-3]]]], [[11, 5, 8, 7, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 0
, u^2-v^2+1 < y, z = -y^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [0, 0], [3, 3], [-1816187/1048576, -3632373/2097152]]]], [[11,
5, 8, 7, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 0, u^2-v^2+1 <
y, 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, 7, 4]
, [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 0, u^2-v^2+1 < y, z = y^(1
/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [0, 0], [3, 3
], [908093/524288, 1816187/1048576]]]], [[11, 5, 8, 7, 5], [2^(1/2) < v, And(-
(v^2+1)^(1/2) < u,u < -v), x = 0, u^2-v^2+1 < y, y^(1/2) < z], [regular_chain,
[[3, 3], [-403851/131072, -403851/131072], [0, 0], [3, 3], [3, 3]]]], [[11, 7,
9, 4, 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, 4, 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, 4, 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, 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), x-u^2+v^2+1 < y, z <
-(y-x)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-\
919691/524288, -919691/524288], [2, 2], [-3, -3]]]], [[11, 13, 3, 9, 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),
x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [1435023/524288,
1435023/524288], [-919691/524288, -919691/524288], [2, 2], [-8126751/4194304,
-32507003/16777216]]]], [[11, 13, 3, 9, 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), x-u^2+v^2+1 < y, And(-(y-x)^(
1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [-919691/524288, -919691/524288], [2, 2], [-11/33554432, -11/33554432
]]]], [[11, 13, 3, 9, 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), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-919691/524288, -\
919691/524288], [2, 2], [2031687/1048576, 253961/131072]]]], [[11, 13, 3, 9, 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), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [-919691/524288, -919691/524288], [2, 2], [3, 3]]]],
[[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 = 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [3396811/
1048576, 3396811/1048576], [-915943/524288, -915943/524288], [0, 0], [-3, -3]]
]], [[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 = 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, 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 = 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, 6, 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, 6, 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, 5, 1], [2^(1/2) < v, u = (v^2
+2)^(1/2), 1 < x, And(x-1 < y,y < 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 = 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, 6, 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, 6, 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, 6, 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, 6, 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, 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(x < y,
y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-657289/524288, -657289/524288], [-8450337/
8388608, -8450337/8388608], [-2, -2]]]], [[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(x < y,y < u^2-v^2+x+
1), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-657289/524288, -657289/524288], [-8450337/8388608, -8450337/
8388608], [-16263/32768, -520415/1048576]]]], [[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(x < y,y < u^2-v^
2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288], [-\
8450337/8388608, -8450337/8388608], [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(x < y,y < u^2-
v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-657289/524288, -657289/524288], [-8450337/8388608, -\
8450337/8388608], [520415/1048576, 16263/32768]]]], [[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(x < y,y <
u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152,
-6111549/2097152], [-657289/524288, -657289/524288], [-8450337/8388608, -\
8450337/8388608], [2, 2]]]], [[1, 10, 9, 5, 1], [v < -2^(1/2), u = -(v^2-2)^(1
/2), 1 < x, And(x-1 < y,y < 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 = -1, z = z], [regular_chain, [[-3,
-3], [2774271/1048576, 10837/4096], [0, 0], [-1, -1], [0, 0]]]], [[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 = x,
z < 0], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-2, -2]
, [-2, -2], [-1, -1]]]], [[1, 20, 3, 4, 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, 4, 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, 6, 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, 6, 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, 6, 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, 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 < -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], [
569265/1048576, 569265/1048576], [-2, -2]]]], [[2, 7, 6, 5, 2], [v = -2^(1/2),
And(v < u,u < -1), x = -u^2+1, And(0 < y,y < -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], [569265/1048576, 569265/
1048576], [-2199022958689/2199023255552, -4398045917377/4398046511104]]]], [[2
, 7, 6, 5, 3], [v = -2^(1/2), And(v < u,u < -1), 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], [-1265743/1048576, -1265743/1048576], [-\
479311/1048576, -239655/524288], [569265/1048576, 569265/1048576], [-3600577/
8796093022208, -3600577/8796093022208]]]], [[2, 7, 6, 5, 4], [v = -2^(1/2), 
And(v < u,u < -1), 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], [-1265743/1048576, -\
1265743/1048576], [-479311/1048576, -239655/524288], [569265/1048576, 569265/
1048576], [1048575/1048576, 1]]]], [[2, 7, 6, 5, 5], [v = -2^(1/2), And(v < u,
u < -1), 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], [-1265743/1048576, -\
1265743/1048576], [-479311/1048576, -239655/524288], [569265/1048576, 569265/
1048576], [2, 2]]]], [[2, 9, 5, 4, 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, 4,
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, 4, 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, 6, 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, 6, 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, 6, 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,
6, 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, 6, 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, 15, 3, 3, 1], [v = -2^(1/2), And(-v
< u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), And(x < y,y < x-u^2+3), z < -(y-x)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152,
3299097/2097152], [-2594957/2097152, -2594957/2097152], [-4088373/4194304, -\
4088373/4194304], [-2, -2]]]], [[2, 15, 3, 3, 2], [v = -2^(1/2), And(-v < u,u
< 3^(1/2)), And(-u^2+1 < x,x < -1), And(x < y,y < x-u^2+3), z = -(y-x)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097
/2097152], [-2594957/2097152, -2594957/2097152], [-4088373/4194304, -4088373/
4194304], [-1074733/2097152, -268683/524288]]]], [[2, 15, 3, 3, 3], [v = -2^(1
/2), And(-v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), And(x < y,y < x-u^2+3),
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [-2594957/2097152, -\
2594957/2097152], [-4088373/4194304, -4088373/4194304], [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(x <
y,y < x-u^2+3), z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/
2097152], [-4088373/4194304, -4088373/4194304], [268683/524288, 537367/1048576
]]]], [[2, 15, 3, 3, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-u^2+1 <
x,x < -1), And(x < y,y < x-u^2+3), (y-x)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-\
2594957/2097152, -2594957/2097152], [-4088373/4194304, -4088373/4194304], [2,
2]]]], [[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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [0, 0], [8957873/1048576, 4478937/524288], [-4, -4
]]]], [[3, 1, 6, 6, 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], [8957873/1048576, 4478937/524288], [-\
1532401/524288, -24518415/8388608]]]], [[3, 1, 6, 6, 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], [8957873/1048576, 4478937/524288], [-7/16777216, -7/16777216]]
]], [[3, 1, 6, 6, 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], [8957873/1048576, 4478937/524288], [
3064801/1048576, 1532401/524288]]]], [[3, 1, 6, 6, 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], [
8957873/1048576, 4478937/524288], [4, 4]]]], [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(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, 7, 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 < u^2-v^2+x+1), z = -(y-x)^(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, 7,
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 < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z <
(y-x)^(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, 7, 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 < u^2-v^2+x+1), z = (y-x)^(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, 7, 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 < u^2-
v^2+x+1), (y-x)^(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, 4, 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 < y,y
< 0), z < -(y+1)^(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(u^2-v^2 < y,y < 0), z = -(y+1)^(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(u^2-v^2 < y,y < 0), And(-(y+1)^(1/2
) < z,z < (y+1)^(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(u^2-v^2 < y,y < 0), z = (y+1)^
(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(u^2-v^2 < y,y < 0), (y+1)^(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 = x, z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [-\
1812519/1048576, -1812519/1048576], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
0, 0], [-1812519/1048576, -1812519/1048576], [-1812519/1048576, -1812519/
1048576], [0, 0]]]], [[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 = x, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1812519/
1048576, -1812519/1048576], [-1812519/1048576, -1812519/1048576], [1, 1]]]], [
[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(0 < y,y < u^2-v^2-1), z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [6860721/1048576, 3430361/524288], [6860721/2097152,
6860721/2097152], [0, 0]]]], [[4, 2, 5, 2, 1], [v = -1, u = -3^(1/2), And(-1 <
x,x < 0), y = x-1, z = z], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[4, 6, 3, 3, 1], [v
= -1, u = -1, And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y
-x)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [-1/2, -1/2], [-1/4, -1/4], [
-1/2, -1/2]]]], [[4, 6, 3, 3, 3], [v = -1, u = -1, And(-1 < x,x < 0), And(x <
y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [
-1, -1], [-1/2, -1/2], [-1/4, -1/4], [0, 0]]]], [[4, 6, 3, 3, 4], [v = -1, u =
-1, And(-1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-\
1, -1], [-1, -1], [-1/2, -1/2], [-1/4, -1/4], [1/2, 1/2]]]], [[4, 6, 3, 3, 5],
[v = -1, u = -1, And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(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+2 < y, z < -(y-x)^(1/2)],
[regular_chain, [[-1, -1], [0, 0], [-3/2, -3/2], [2, 2], [-3, -3]]]], [[4, 8,
3, 7, 2], [v = -1, u = 0, And(-2 < x,x < -1), x+2 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [-3/2, -3/2], [2, 2], [-7846825/4194304, -\
980853/524288]]]], [[4, 8, 3, 7, 3], [v = -1, u = 0, And(-2 < x,x < -1), x+2 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [0, 0],
[-3/2, -3/2], [2, 2], [0, 0]]]], [[4, 8, 3, 7, 4], [v = -1, u = 0, And(-2 < x,
x < -1), x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-3/2,
-3/2], [2, 2], [980853/524288, 1961707/1048576]]]], [[4, 8, 3, 7, 5], [v = -1,
u = 0, And(-2 < x,x < -1), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1
], [0, 0], [-3/2, -3/2], [2, 2], [3, 3]]]], [[4, 14, 3, 2, 1], [v = -1, u = 3^
(1/2), And(-3 < x,x < -1), y = x-1, z = z], [regular_chain, [[-1, -1], [908093
/524288, 1816187/1048576], [-2, -2], [-3, -3], [0, 0]]]], [[4, 15, 11, 1, 1],
[v = -1, 3^(1/2) < u, u^2-2 < x, y < 0, z = z], [regular_chain, [[-1, -1], [3,
3], [8, 8], [-1, -1], [0, 0]]]], [[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 <
0, z = z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [-1, -1], [0,
0]]]], [[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, 2*u^2-2*v^2 < y, z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/
2, -1/2], [1696631/2097152, 1696631/2097152], [-624419/1048576, -1248837/
2097152], [2, 2], [-3, -3]]]], [[5, 9, 6, 7, 2], [And(-1 < v,v < 0), And(-v <
u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, 2*u^2-2*v^2 < y, z = -(y-u^2+v^2+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, 7, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1,
2*u^2-2*v^2 < y, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+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, 7,
4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, 2*u^2-2*
v^2 < y, z = (y-u^2+v^2+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, 7, 5], [And(-1 < v,v < 0), And(-v
< u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, 2*u^2-2*v^2 < y, (y-u^2+v^2+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, 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
= 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, 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 = 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, 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 = 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, 6
, 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, 6, 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, 10, 1,
1], [v = 0, u < -2^(1/2), x = u^2-1, y < 0, z = z], [regular_chain, [[0, 0], [
-3, -3], [8, 8], [-1, -1], [0, 0]]]], [[6, 3, 7, 2, 1], [v = 0, And(-2^(1/2) <
u,u < -1), And(0 < x,x < u^2-1), y = x-u^2+1, z = z], [regular_chain, [[0, 0],
[-1265743/1048576, -1265743/1048576], [239655/1048576, 239655/1048576], [-\
29957/131072, -239655/1048576], [0, 0]]]], [[6, 9, 7, 1, 1], [v = 0, And(1 < u
,u < 2^(1/2)), And(0 < x,x < u^2-1), y < x-u^2+1, z = z], [regular_chain, [[0,
0], [1265743/1048576, 1265743/1048576], [239655/1048576, 239655/1048576], [-2,
-2], [0, 0]]]], [[6, 11, 3, 9, 1], [v = 0, 2^(1/2) < u, And(-u^2-1 < x,x < -1)
, u^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-11/2, -11
/2], [6, 6], [-5, -5]]]], [[6, 11, 3, 9, 2], [v = 0, 2^(1/2) < u, And(-u^2-1 <
x,x < -1), u^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-\
11/2, -11/2], [6, 6], [-3555895/1048576, -1777947/524288]]]], [[6, 11, 3, 9, 3
], [v = 0, 2^(1/2) < u, And(-u^2-1 < x,x < -1), u^2+x+1 < y, And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [3, 3], [-11/2, -11/2], [6, 6]
, [0, 0]]]], [[6, 11, 3, 9, 4], [v = 0, 2^(1/2) < u, And(-u^2-1 < x,x < -1), u
^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-11/2, -11/2],
[6, 6], [1777947/524288, 3555895/1048576]]]], [[6, 11, 3, 9, 5], [v = 0, 2^(1/
2) < u, And(-u^2-1 < x,x < -1), u^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain,
[[0, 0], [3, 3], [-11/2, -11/2], [6, 6], [5, 5]]]], [[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], [243021/524288, 486043/1048576], [-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], [243021/524288, 
486043/1048576], [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], [243021/524288, 486043/1048576], [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(x < y,y < 0), z < -(y-x)^(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, 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(x < y,y < 0), z
= -(y-x)^(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, 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(x < y,y <
0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(x < y,y < 0)
, z = (y-x)^(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, 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(x < y,y < 0)
, (y-x)^(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, 7, 1], [v = 1, u < -3^(1/2), x = -1, And(0 < y
,y < u^2-1), z < -(y+1)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-1, -1], [
4, 4], [-4, -4]]]], [[8, 1, 4, 7, 2], [v = 1, u < -3^(1/2), x = -1, And(0 < y,
y < u^2-1), z = -(y+1)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-1, -1], [4
, 4], [-146543/65536, -2344687/1048576]]]], [[8, 1, 4, 7, 3], [v = 1, u < -3^(
1/2), x = -1, And(0 < y,y < u^2-1), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[1, 1], [-3, -3], [-1, -1], [4, 4], [0, 0]]]], [[8, 1, 4, 7, 4
], [v = 1, u < -3^(1/2), x = -1, And(0 < y,y < u^2-1), z = (y+1)^(1/2)], [
regular_chain, [[1, 1], [-3, -3], [-1, -1], [4, 4], [2344687/1048576, 146543/
65536]]]], [[8, 1, 4, 7, 5], [v = 1, u < -3^(1/2), x = -1, And(0 < y,y < u^2-1
), (y+1)^(1/2) < z], [regular_chain, [[1, 1], [-3, -3], [-1, -1], [4, 4], [4,
4]]]], [[8, 3, 2, 1, 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], [-4, -4], [0, 0]]]], [[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(x-u^2+2 < y,y <
0), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [-5/8, -\
5/8], [-3, -3]]]], [[8, 9, 1, 7, 2], [v = 1, And(0 < u,u < 1), x < u^2-2, And(
x-u^2+2 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-\
3, -3], [-5/8, -5/8], [-3231929/2097152, -403991/262144]]]], [[8, 9, 1, 7, 3],
[v = 1, And(0 < u,u < 1), x < u^2-2, And(x-u^2+2 < y,y < 0), And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [-5/8, -\
5/8], [0, 0]]]], [[8, 9, 1, 7, 4], [v = 1, And(0 < u,u < 1), x < u^2-2, And(x-
u^2+2 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-3,
-3], [-5/8, -5/8], [403991/262144, 1615965/1048576]]]], [[8, 9, 1, 7, 5], [v =
1, And(0 < u,u < 1), x < u^2-2, And(x-u^2+2 < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [-5/8, -5/8], [3, 3]]]], [[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(0 < y,y < u^2-v^2
+x+1), z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3, -3], [-1/2, -1/2], [8433585/2097152, 8433585/2097152], [-4, -4]]]], [[9,
1, 5, 7, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), 
And(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 7, 3], [And(1 < v,
v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1
), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3, -3], [-1/2, -1/2], [8433585/2097152, 8433585/2097152],
[0, 0]]]], [[9, 1, 5, 7, 4], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(
-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), z = (y-x)^(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, 7, 5], [And(
1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < u^2-v
^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-3, -3], [-1/2, -1/2], [8433585/2097152, 8433585/2097152], [4, 4]]]], [[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 < 0), z < -(u^2-v^2+y+1)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [
-1538813/1048576, -384703/262144], [-3921893/8388608, -3921893/8388608], [-3,
-3]]]], [[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 < 0), z = -(u^2-v^2+y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1538813/1048576, -384703/262144], [-3921893/8388608, -\
3921893/8388608], [-1048577/1048576, -1]]]], [[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 < 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], [-3921893/8388608, -\
3921893/8388608], [0, 0]]]], [[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 < 0), z = (u^
2-v^2+y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-1538813/1048576, -384703/262144], [-\
3921893/8388608, -3921893/8388608], [1, 1048577/1048576]]]], [[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 < 0), (u^2-v^2+y+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1538813/
1048576, -384703/262144], [-3921893/8388608, -3921893/8388608], [3, 3]]]], [[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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 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, 10, 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, 10, 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, 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), x-u^2+v^2+1
< y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [1/2, 1/2], [4, 4], [-3, -3]]]], [[9, 11, 9,
9, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1)
, x-u^2+v^2+1 < y, z = -(y-x)^(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, 9, 3], [And(1 < v,v < 2^(1/2)
), And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), x-u^2+v^2+1 < y, And(-(y-x)
^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [4, 4], [0, 0]]]], [[9
, 11, 9, 9, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(0 <
x,x < 1), x-u^2+v^2+1 < y, z = (y-x)^(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, 9, 5], [And(1 < v,v < 2^(1/2))
, And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), x-u^2+v^2+1 < y, (y-x)^(1/2)
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [1/2, 1/2], [4, 4], [3, 3]]]], [[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(0 < y,y <
-u^2+v^2+2), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [1, 1], [273305/1048576, 273305/1048576], [0, 0
]]]], [[9, 17, 7, 6, 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, 6, 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, 6, 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, 7, 1], [v = 2^(1/2), And(-3^
(1/2) < u,u < -v), x = 1, And(-u^2+4 < y,y < u^2), z < -(y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [1, 1], [2, 2], [-2, -2]]]], [[10, 5, 10, 7, 2], [v = 2^(1/2), And(-
3^(1/2) < u,u < -v), x = 1, And(-u^2+4 < y,y < u^2), z = -(y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [1, 1], [2, 2], [-1, -1]]]], [[10, 5, 10, 7, 3], [v = 2^(1/2), And(-
3^(1/2) < 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], [-6598195/
4194304, -6598195/4194304], [1, 1], [2, 2], [0, 0]]]], [[10, 5, 10, 7, 4], [v
= 2^(1/2), And(-3^(1/2) < u,u < -v), x = 1, And(-u^2+4 < y,y < u^2), z = (y-1)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304,
-6598195/4194304], [1, 1], [2, 2], [1, 1]]]], [[10, 5, 10, 7, 5], [v = 2^(1/2)
, And(-3^(1/2) < u,u < -v), x = 1, And(-u^2+4 < y,y < u^2), (y-1)^(1/2) < z],
[regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195
/4194304], [1, 1], [2, 2], [2, 2]]]], [[10, 7, 11, 6, 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], [
1288231/524288, 2576463/1048576], [-2, -2]]]], [[10, 7, 11, 6, 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], [1288231/524288, 2576463/1048576], [-1417877/2097152, -354469/524288]]]],
[[10, 7, 11, 6, 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], [1288231/
524288, 2576463/1048576], [0, 0]]]], [[10, 7, 11, 6, 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], [
1288231/524288, 2576463/1048576], [354469/524288, 708939/1048576]]]], [[10, 7,
11, 6, 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], [1288231/524288, 2576463/1048576], [2, 2]]]], [[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(u^2+x
-1 < y,y < x-u^2+3), z < -(y-x)^(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, 7
, 2], [v = 2^(1/2), And(1 < u,u < v), And(-u^2+1 < x,x < 0), And(u^2+x-1 < y,y
< x-u^2+3), z = -(y-x)^(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, 7, 3], [
v = 2^(1/2), And(1 < u,u < v), And(-u^2+1 < x,x < 0), And(u^2+x-1 < y,y < x-u^
2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7,
4], [v = 2^(1/2), And(1 < u,u < v), And(-u^2+1 < x,x < 0), And(u^2+x-1 < y,y <
x-u^2+3), z = (y-x)^(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, 7, 5], [v = 2^(1/2),
And(1 < u,u < v), And(-u^2+1 < x,x < 0), And(u^2+x-1 < y,y < x-u^2+3), (y-x)^(
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, 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 = x, z < 0], [regular_chain, [[3,
3], [-3396811/1048576, -3396811/1048576], [-4, -4], [-4, -4], [-1, -1]]]], [[
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 = x, z = 0], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [-4, -4], [-4, -4], [0, 0]]]], [[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 = x, 0 < z],
[regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-4, -4], [-4,
-4], [1, 1]]]], [[11, 4, 9, 5, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), 1 < x, 
And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-3315889/
1048576, -207243/65536], [2, 2], [3, 3], [-2, -2]]]], [[11, 4, 9, 5, 2], [2^(1
/2) < v, u = -(v^2+1)^(1/2), 1 < x, And(x < y,y < x+2), z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [2, 2], [3, 3], [-1
, -1]]]], [[11, 4, 9, 5, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), 1 < x, And(x <
y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [
-3315889/1048576, -207243/65536], [2, 2], [3, 3], [0, 0]]]], [[11, 4, 9, 5, 4]
, [2^(1/2) < v, u = -(v^2+1)^(1/2), 1 < x, And(x < y,y < x+2), z = (y-x)^(1/2)
], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [2, 2], [3, 3],
[1, 1]]]], [[11, 4, 9, 5, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2), 1 < x, And(x <
y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-3315889/1048576, -\
207243/65536], [2, 2], [3, 3], [2, 2]]]], [[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(u^2-v^2+x+1 < y,y
< x), z = z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608],
[-4, -4], [-17843287/4194304, -17843287/4194304], [0, 0]]]], [[11, 10, 7, 6, 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, 6, 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, 6, 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, 5, 1], [2^(1/2) < v, u = v, x < -1, And(x+1 < y,y < 0), z < -
(y-x)^(1/2)], [regular_chain, [[3, 3], [3, 3], [-2, -2], [-1/2, -1/2], [-3, -3
]]]], [[11, 16, 1, 5, 2], [2^(1/2) < v, u = v, x < -1, And(x+1 < y,y < 0), z =
-(y-x)^(1/2)], [regular_chain, [[3, 3], [3, 3], [-2, -2], [-1/2, -1/2], [-\
1284239/1048576, -642119/524288]]]], [[11, 16, 1, 5, 3], [2^(1/2) < v, u = v,
x < -1, And(x+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [3, 3], [-2, -2], [-1/2, -1/2], [0, 0]]]], [[11, 16, 1
, 5, 4], [2^(1/2) < v, u = v, x < -1, And(x+1 < y,y < 0), z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [3, 3], [-2, -2], [-1/2, -1/2], [642119/524288, 
1284239/1048576]]]], [[11, 16, 1, 5, 5], [2^(1/2) < v, u = v, x < -1, And(x+1
< y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [3, 3], [-2, -2], [-1/2
, -1/2], [3, 3]]]], [[11, 18, 3, 1, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-\
2 < x,x < -1), y < x, z = z], [regular_chain, [[3, 3], [207243/65536, 3315889/
1048576], [-3/2, -3/2], [-3, -3], [0, 0]]]], [[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 < 0), z < -(y+3)^(1/2)], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-3, -3], [-3/2
, -3/2], [-3, -3]]]], [[1, 2, 2, 5, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), x =
-3, And(-3 < y,y < 0), z = -(y+3)^(1/2)], [regular_chain, [[-3, -3], [-1738867
/524288, -3477733/1048576], [-3, -3], [-3/2, -3/2], [-1284239/1048576, -642119
/524288]]]], [[1, 2, 2, 5, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -3, And(
-3 < y,y < 0), And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))], [regular_chain, [[-3, -\
3], [-1738867/524288, -3477733/1048576], [-3, -3], [-3/2, -3/2], [0, 0]]]], [[
1, 2, 2, 5, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -3, And(-3 < y,y < 0),
z = (y+3)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [-3, -3], [-3/2, -3/2], [642119/524288, 1284239/1048576]]]], [[1, 2,
2, 5, 5], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -3, And(-3 < y,y < 0), (y+3)^
(1/2) < z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-\
3, -3], [-3/2, -3/2], [3, 3]]]], [[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 = 1, z < 0], [regular_chain, [[-3, -\
3], [-3396811/1048576, -3396811/1048576], [1, 1], [1, 1], [-1, -1]]]], [[1, 3,
10, 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, 10, 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, 11, 4,
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, 4, 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, 4, 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, 3,
1], [v < -2^(1/2), And(-(v^2-1)^(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], [-22960369/8388608, -\
22960369/8388608], [1, 1], [128885/524288, 128885/524288], [0, 0]]]], [[1, 15,
4, 8, 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], [-3, -3]]]], [[1, 15, 4,
8, 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], [-1287385/1048576, -\
160923/131072]]]], [[1, 15, 4, 8, 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], [0, 0]]]], [[1, 15, 4, 8, 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], [160923/131072, 1287385/1048576]]]], [[1, 15,
4, 8, 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], [3, 3]]]], [[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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [-2097153
/4194304, -2097153/4194304], [-2, -2]]]], [[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(x < y,y < x-u^2+
v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-1579769/2097152, -1579769/2097152], [-2097153/4194304, -2097153/
4194304], [-527729/1048576, -1055457/2097152]]]], [[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(x < y,y <
x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3
], [403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [-\
2097153/4194304, -2097153/4194304], [-1/4194304, -1/4194304]]]], [[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(x < y,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [-2097153
/4194304, -2097153/4194304], [32983/65536, 527729/1048576]]]], [[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(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [-2097153
/4194304, -2097153/4194304], [2, 2]]]], [[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 < 0), 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, 5, 2], [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 = -(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, 5, 3], [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), 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, 5, 4], [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 = (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, 5, 5],
[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), (
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, 4, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = -2^(1/2), u = 1, x < -2, And(x
+2 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1, 1], [-3, -3], [-1/2, -1/2], [-3, -3]]]], [[2, 12, 1, 5, 2], [v =
-2^(1/2), u = 1, x < -2, And(x+2 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [1, 1], [-3, -3], [-1/2, -1/2], [-\
3315889/2097152, -207243/131072]]]], [[2, 12, 1, 5, 3], [v = -2^(1/2), u = 1,
x < -2, And(x+2 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3, -3], [-1/2, -\
1/2], [0, 0]]]], [[2, 12, 1, 5, 4], [v = -2^(1/2), u = 1, x < -2, And(x+2 < y,
y < 0), z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[1, 1], [-3, -3], [-1/2, -1/2], [207243/131072, 1657945/1048576]]]], [[2, 12,
1, 5, 5], [v = -2^(1/2), u = 1, x < -2, And(x+2 < y,y < 0), (y-x)^(1/2) < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3, -3], [-1/2,
-1/2], [3, 3]]]], [[2, 16, 2, 5, 1], [v = -2^(1/2), u = 3^(1/2), x = -2, 0 < y
, z < -(y+2)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
908093/524288, 1816187/1048576], [-2, -2], [1, 1], [-3, -3]]]], [[2, 16, 2, 5,
2], [v = -2^(1/2), u = 3^(1/2), x = -2, 0 < y, z = -(y+2)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-2, -2], [1, 1], [-1816187/1048576, -3632373/2097152]]]], [[2, 16,
2, 5, 3], [v = -2^(1/2), u = 3^(1/2), x = -2, 0 < y, And(-(y+2)^(1/2) < z,z <
(y+2)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/
524288, 1816187/1048576], [-2, -2], [1, 1], [-1/4194304, -1/4194304]]]], [[2,
16, 2, 5, 4], [v = -2^(1/2), u = 3^(1/2), x = -2, 0 < y, z = (y+2)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-2, -2], [1, 1], [908093/524288, 1816187/1048576]]]], [[2, 16, 2, 5
, 5], [v = -2^(1/2), u = 3^(1/2), x = -2, 0 < y, (y+2)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-2, -2], [1, 1], [3, 3]]]], [[2, 18, 1, 2, 1], [v = -2^(1/2), u = 2
, x < -3, y = x-1, z = z], [regular_chain, [[-1482911/1048576, -741455/524288]
, [2, 2], [-4, -4], [-5, -5], [0, 0]]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2,
-2], [0, 0], [-3, -3]]]], [[3, 6, 1, 6, 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, 6, 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, 6, 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, 6, 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, 3, 1, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-2
< x,x < -1), y < x, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [354469/524288, 708939/1048576], [-3/2, -3/2], [-3, -3], [0, 0]]]],
[[3, 12, 1, 3, 1], [And(-2^(1/2) < v,v < -1), u = -v, x < -1, And(x < y,y < x+
1), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1265743/1048576, 1265743/1048576], [-2, -2], [-3/2, -3/2], [-2, -2]]]], [[3,
12, 1, 3, 2], [And(-2^(1/2) < v,v < -1), u = -v, x < -1, And(x < y,y < x+1), z
= -(y-x)^(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, 3, 3], [And(-2^(1/2) < v,v < -1), u = -v, x <
-1, And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [
-2, -2], [-3/2, -3/2], [0, 0]]]], [[3, 12, 1, 3, 4], [And(-2^(1/2) < v,v < -1)
, u = -v, x < -1, And(x < y,y < x+1), z = (y-x)^(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, 3, 5], [And(-2
^(1/2) < v,v < -1), u = -v, x < -1, And(x < y,y < x+1), (y-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-2, -2], [-3/2, -3/2], [2, 2]]]], [[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 = x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [-3647693/2097152, -3647693/2097152]
, [-3647693/2097152, -3647693/2097152], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [-3647693/2097152, -3647693/2097152]
, [-3647693/2097152, -3647693/2097152], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [898327/524288, 898327/524288], [-3647693/2097152, -3647693/2097152], [-\
3647693/2097152, -3647693/2097152], [1, 1]]]], [[3, 16, 9, 3, 1], [And(-2^(1/2
) < v,v < -1), u = (v^2+2)^(1/2), 1 < x, And(0 < y,y < x-1), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [2, 2], [1/2, 1/2], [0, 0]]]], [[4, 3, 4, 7, 1], [v = -1, And(-3^(1/
2) < u,u < -2^(1/2)), x = -1, And(0 < y,y < u^2-1), z < -(y+1)^(1/2)], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1, -1], [
773191/1048576, 773191/1048576], [-3, -3]]]], [[4, 3, 4, 7, 2], [v = -1, And(-
3^(1/2) < u,u < -2^(1/2)), x = -1, And(0 < y,y < u^2-1), z = -(y+1)^(1/2)], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1, -1], [
773191/1048576, 773191/1048576], [-691061/524288, -1382121/1048576]]]], [[4, 3
, 4, 7, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, And(0 < y,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], [773191/1048576, 773191/1048576]
, [0, 0]]]], [[4, 3, 4, 7, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1
, And(0 < y,y < u^2-1), z = (y+1)^(1/2)], [regular_chain, [[-1, -1], [-6598195
/4194304, -6598195/4194304], [-1, -1], [773191/1048576, 773191/1048576], [
1382121/1048576, 691061/524288]]]], [[4, 3, 4, 7, 5], [v = -1, And(-3^(1/2) <
u,u < -2^(1/2)), x = -1, And(0 < y,y < u^2-1), (y+1)^(1/2) < z], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1, -1], [
773191/1048576, 773191/1048576], [3, 3]]]], [[4, 5, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1, 1], [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,
x < u^2-2), y < x, z = z], [regular_chain, [[-1, -1], [1265743/1048576, 
1265743/1048576], [-3235683/4194304, -3235683/4194304], [-2, -2], [0, 0]]]], [
[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 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 
3299097/2097152], [-3643533/2097152, -3643533/2097152], [2, 2], [-3, -3]]]], [
[4, 13, 3, 9, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1),
u^2+x < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 
3299097/2097152], [-3643533/2097152, -3643533/2097152], [2, 2], [-16217095/
8388608, -8108547/4194304]]]], [[4, 13, 3, 9, 3], [v = -1, And(2^(1/2) < u,u <
3^(1/2)), And(-u^2 < x,x < -1), u^2+x < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-3643533/
2097152, -3643533/2097152], [2, 2], [-3/8388608, -3/8388608]]]], [[4, 13, 3, 9
, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), u^2+x < y,
z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152
], [-3643533/2097152, -3643533/2097152], [2, 2], [15837/8192, 2027137/1048576]
]]], [[4, 13, 3, 9, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x
< -1), u^2+x < y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [3299097/
2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152], [2, 2], [3, 3
]]]], [[5, 1, 8, 4, 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, 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(x-u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[-1/
2, -1/2], [-343151/262144, -343151/262144], [-1/2, -1/2], [-24553891/33554432,
-24553891/33554432], [0, 0]]]], [[5, 12, 4, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 7, 1], [v = 0, u < -2^(1/2), x < -u^2-1, And(u^2+x+1 < y,y < 0), z < -(y-x)
^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-11, -11], [-1/2, -1/2], [-5, -5]
]]], [[6, 1, 1, 7, 2], [v = 0, u < -2^(1/2), x < -u^2-1, And(u^2+x+1 < y,y < 0
), z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-11, -11], [-1/2, -1
/2], [-3397775/1048576, -1698887/524288]]]], [[6, 1, 1, 7, 3], [v = 0, u < -2^
(1/2), x < -u^2-1, And(u^2+x+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[0, 0], [-3, -3], [-11, -11], [-1/2, -1/2], [0, 0]]]], [
[6, 1, 1, 7, 4], [v = 0, u < -2^(1/2), x < -u^2-1, And(u^2+x+1 < y,y < 0), z =
(y-x)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-11, -11], [-1/2, -1/2], [
1698887/524288, 3397775/1048576]]]], [[6, 1, 1, 7, 5], [v = 0, u < -2^(1/2), x
< -u^2-1, And(u^2+x+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[0, 0], [
-3, -3], [-11, -11], [-1/2, -1/2], [5, 5]]]], [[6, 4, 7, 7, 1], [v = 0, u = -1
, And(0 < x,x < 1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1,
-1], [1/2, 1/2], [4, 4], [-3, -3]]]], [[6, 4, 7, 7, 2], [v = 0, u = -1, And(0
< x,x < 1), x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [1/
2, 1/2], [4, 4], [-7846825/4194304, -980853/524288]]]], [[6, 4, 7, 7, 3], [v =
0, u = -1, And(0 < x,x < 1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[0, 0], [-1, -1], [1/2, 1/2], [4, 4], [0, 0]]]], [[6, 4, 7, 7
, 4], [v = 0, u = -1, And(0 < x,x < 1), x+2 < y, z = (y-x)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [1/2, 1/2], [4, 4], [980853/524288, 1961707/
1048576]]]], [[6, 4, 7, 7, 5], [v = 0, u = -1, And(0 < x,x < 1), x+2 < y, (y-x
)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [1/2, 1/2], [4, 4], [3, 3]]]]
, [[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 = x-u^2+v^2+1, z = z], [
regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -43/8], [-105/8, -105/8], [0, 0]
]]], [[7, 2, 9, 1, 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], [-1, -1], [0, 0]]]],
[[7, 7, 1, 1, 1], [And(0 < v,v < 1), And(-v < u,u < v), x < u^2-v^2-1, y < x,
z = z], [regular_chain, [[1/2, 1/2], [0, 0], [-3, -3], [-4, -4], [0, 0]]]], [[
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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z < -(y-x)^(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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = -(y-x)^(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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x
)^(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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = (y
-x)^(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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), (y-x)^
(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 = 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], [767309/262144, 3069237/1048576], [-3, -3]]]],
[[7, 11, 8, 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 = 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], [
767309/262144, 3069237/1048576], [-3291611/2097152, -1645805/1048576]]]], [[7,
11, 8, 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 = 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], [767309/262144, 3069237/1048576], [0, 0]]]], [[7, 11, 8, 6, 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], [767309/262144, 
3069237/1048576], [1645805/1048576, 822903/524288]]]], [[7, 11, 8, 6, 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], [767309/262144, 3069237/
1048576], [3, 3]]]], [[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 < -(y-x)^(1/2)], [regular_chain, [[1/2,
1/2], [3, 3], [-1/2, -1/2], [11, 11], [-5, -5]]]], [[7, 13, 5, 9, 2], [And(0 <
v,v < 1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), u^2-v^2+x+1 < y, z = -(y-x)^(1
/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-1/2, -1/2], [11, 11], [-3555895/
1048576, -1777947/524288]]]], [[7, 13, 5, 9, 3], [And(0 < v,v < 1), (v^2+2)^(1
/2) < u, And(-1 < x,x < 0), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1
/2))], [regular_chain, [[1/2, 1/2], [3, 3], [-1/2, -1/2], [11, 11], [0, 0]]]],
[[7, 13, 5, 9, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), u^
2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-1/2, -\
1/2], [11, 11], [1777947/524288, 3555895/1048576]]]], [[7, 13, 5, 9, 5], [And(
0 < v,v < 1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), u^2-v^2+x+1 < y, (y-x)^(1/
2) < z], [regular_chain, [[1/2, 1/2], [3, 3], [-1/2, -1/2], [11, 11], [5, 5]]]
], [[8, 3, 9, 9, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x <
1), u^2+x < y, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304,
-6598195/4194304], [1546383/2097152, 1546383/2097152], [5, 5], [-4, -4]]]], [[
8, 3, 9, 9, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x < 1),
u^2+x < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [1546383/2097152, 1546383/2097152], [5, 5], [-270613/131072,
-2164903/1048576]]]], [[8, 3, 9, 9, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2))
, And(u^2-2 < x,x < 1), u^2+x < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [1546383/2097152
, 1546383/2097152], [5, 5], [0, 0]]]], [[8, 3, 9, 9, 4], [v = 1, And(-3^(1/2)
< u,u < -2^(1/2)), And(u^2-2 < x,x < 1), u^2+x < y, z = (y-x)^(1/2)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [1546383/2097152
, 1546383/2097152], [5, 5], [2164903/1048576, 270613/131072]]]], [[8, 3, 9, 9,
5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x < 1), u^2+x < y, (
y-x)^(1/2) < z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304]
, [1546383/2097152, 1546383/2097152], [5, 5], [4, 4]]]], [[8, 5, 9, 3, 1], [v
= 1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), And(0 < y,y < x), z = z], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [1/4
, 1/4], [0, 0]]]], [[8, 11, 10, 5, 1], [v = 1, And(1 < u,u < 2^(1/2)), x = 1,
And(1 < y,y < -u^2+3), 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(1 < y,y <
-u^2+3), 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(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], [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(1 < y,y < -u^2+3), 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(1 < y,y < -u^2+3), (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 = u^2+x, z < -u], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [773191/1048576, 
773191/1048576], [842037/262144, 3368149/1048576], [-3, -3]]]], [[8, 13, 9, 8,
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], [842037/262144, 3368149/1048576], [-3299097/2097152,
-3299097/2097152]]]], [[8, 13, 9, 8, 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], [842037/
262144, 3368149/1048576], [-1/4194304, -1/4194304]]]], [[8, 13, 9, 8, 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], [842037/262144, 3368149/1048576], [412387/262144, 1649549/
1048576]]]], [[8, 13, 9, 8, 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], [842037/262144, 3368149/
1048576], [3, 3]]]], [[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, u^2-v^2+2 <
y, z < -(y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [1, 1], [5, 5], [-3, -3]]]], [[9, 3, 10,
9, 2], [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+2 < y, z = -(y-1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [1, 1], [5, 5], [-2,
-2]]]], [[9, 3, 10, 9, 3], [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+2 < y, 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, 9, 4], [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+2 < y,
z = (y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [1, 1], [5, 5], [2, 2]]]], [[9, 3, 10, 9
, 5], [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+2 < y, (y-1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-14373233/8388608, -14373233/8388608], [1, 1], [5, 5], [3, 3]]]],
[[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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-2587387/2097152, -2587387/2097152], [-4058093/4194304, -4058093/
4194304], [-2, -2]]]], [[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(x < y,y < x-u^2+v^2+1), z =
-(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-2587387/2097152, -2587387/2097152], [-4058093/
4194304, -4058093/4194304], [-1082093/2097152, -270523/524288]]]], [[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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701
/1048576], [-2587387/2097152, -2587387/2097152], [-4058093/4194304, -4058093/
4194304], [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(x < y,y < x-u^2+v^2+1), z = (y
-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-2587387/2097152, -2587387/2097152], [-4058093/
4194304, -4058093/4194304], [270523/524288, 541047/1048576]]]], [[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(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
2587387/2097152, -2587387/2097152], [-4058093/4194304, -4058093/4194304], [2,
2]]]], [[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], [-1299559/524288, -2599117/1048576], [-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], [-1299559/524288, -2599117/1048576], [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]
, [-1299559/524288, -2599117/1048576], [1, 1]]]], [[10, 1, 6, 2, 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, 3, 7, 1], [v
= 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), And(0 < y,y < u^2
+x-1), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
-3913339/2097152, -3913339/2097152], [-3651195/2097152, -3651195/2097152], [
777021/2097152, 777021/2097152], [-3, -3]]]], [[10, 3, 3, 7, 2], [v = 2^(1/2),
And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), And(0 < y,y < u^2+x-1), z =
-(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [-3651195/2097152, -3651195/2097152], [777021/
2097152, 777021/2097152], [-380925/262144, -1523699/1048576]]]], [[10, 3, 3, 7
, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), And(0 <
y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-\
3651195/2097152, -3651195/2097152], [777021/2097152, 777021/2097152], [0, 0]]]
], [[10, 3, 3, 7, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x
< -1), And(0 < y,y < u^2+x-1), z = (y-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-3651195/
2097152, -3651195/2097152], [777021/2097152, 777021/2097152], [1523699/1048576
, 380925/262144]]]], [[10, 3, 3, 7, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2))
, And(-u^2+1 < x,x < -1), And(0 < y,y < u^2+x-1), (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-3651195/2097152, -3651195/2097152], [777021/2097152, 777021/
2097152], [3, 3]]]], [[10, 9, 3, 4, 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, 4, 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, 4, 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, 7, 1], [v = 2^(1/2), u = 0, 1 < x, And(x < y,y < x+3), z < -(y-x)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [2, 2], [7/2
, 7/2], [-3, -3]]]], [[10, 10, 9, 7, 2], [v = 2^(1/2), u = 0, 1 < x, And(x < y
,y < x+3), z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [0, 0], [2, 2], [7/2, 7/2], [-1284239/1048576, -642119/524288]]]], [[10, 10
, 9, 7, 3], [v = 2^(1/2), u = 0, 1 < x, And(x < y,y < x+3), And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0]
, [2, 2], [7/2, 7/2], [0, 0]]]], [[10, 10, 9, 7, 4], [v = 2^(1/2), u = 0, 1 <
x, And(x < y,y < x+3), z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [2, 2], [7/2, 7/2], [642119/524288, 1284239/1048576]
]]], [[10, 10, 9, 7, 5], [v = 2^(1/2), u = 0, 1 < x, And(x < y,y < x+3), (y-x)
^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [2, 2]
, [7/2, 7/2], [3, 3]]]], [[10, 15, 1, 1, 1], [v = 2^(1/2), And(v < u,u < 3^(1/
2)), x < -u^2+1, y < x, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-3, -3], [-4, -4], [0, 0]]]], [
[10, 16, 9, 2, 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, 5, 3, 1], [v = 2^(1/2), 2 < u,
And(-1 < x,x < 0), And(x-u^2+3 < y,y < x), z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [-1/2, -1/2], [-7/2, -7/2], [0, 0]]]], [[11,
1, 11, 6, 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, 6, 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,
6, 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, 8, 6
, 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], [1565959/1048576, 195745/131072], [-3, -3]]]], [[11, 5, 8, 6, 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]
, [1565959/1048576, 195745/131072], [-1281417/1048576, -160177/131072]]]], [[
11, 5, 8, 6, 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], [1565959/1048576, 195745/
131072], [0, 0]]]], [[11, 5, 8, 6, 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], [1565959/1048576, 195745/131072], [
160177/131072, 1281417/1048576]]]], [[11, 5, 8, 6, 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], [1565959/
1048576, 195745/131072], [3, 3]]]], [[11, 7, 9, 7, 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-u^2+v^2+1),
z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[11, 7, 9, 7, 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-
u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]], [[11, 7, 9, 7, 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-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
3, 3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [3/2, 3/2], [0, 0]]]]
, [[11, 7, 9, 7, 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-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain,
[[3, 3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [3/2, 3/2], [1, 1]]
]], [[11, 7, 9, 7, 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-u^2+v^2+1), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [3/2
, 3/2], [2, 2]]]], [[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 = 0, z < -(-x)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-919691/524288, -\
919691/524288], [0, 0], [-3, -3]]]], [[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 = 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, 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 = 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, 6, 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, 6, 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, 7, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, 0 < y,
z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-3161161/2097152, -395145/262144], [1, 1], [-3, -3]]]], [[11, 15, 2
, 7, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, 0 < y, z =
-(y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-3161161/2097152, -395145/262144], [1, 1], [-1660383/1048576, -\
3320765/2097152]]]], [[11, 15, 2, 7, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u
< v), x = u^2-v^2-1, 0 < y, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/
2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3161161/
2097152, -395145/262144], [1, 1], [-1/4194304, -1/4194304]]]], [[11, 15, 2, 7,
4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, 0 < y, z = (y-u
^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152],
[-3161161/2097152, -395145/262144], [1, 1], [830191/524288, 1660383/1048576]]]
], [[11, 15, 2, 7, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2
-1, 0 < y, (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152
, 6111549/2097152], [-3161161/2097152, -395145/262144], [1, 1], [3, 3]]]], [[
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(x < y,y < 0), z < -(y-x)^(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
(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = x+3, z < -3^(1/2)], [regular_chain, [[3, 3], [3477733/
1048576, 1738867/524288], [2, 2], [5, 5], [-3, -3]]]], [[11, 20, 9, 8, 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, 8, 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, 8, 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, 8, 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, 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
< 0), z < -(u^2-v^2+y+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-195745/131072, -1565959/1048576], [-33112529/67108864, -\
33112529/67108864], [-3, -3]]]], [[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 < 0), z = -(u^2-v^2+
y+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-\
195745/131072, -1565959/1048576], [-33112529/67108864, -33112529/67108864], [-\
1048577/1048576, -1]]]], [[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 < 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], [-33112529/67108864, -\
33112529/67108864], [0, 0]]]], [[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 < 0), z = (u^2-v^2+y+1
)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-\
195745/131072, -1565959/1048576], [-33112529/67108864, -33112529/67108864], [1
, 1048577/1048576]]]], [[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 < 0), (u^2-v^2+y+1)^(1/2) < z]
, [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-195745/131072
, -1565959/1048576], [-33112529/67108864, -33112529/67108864], [3, 3]]]], [[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 = x, z < 0], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-657289/524288, -657289/524288], [-657289/524288, -657289/524288],
[-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-3, -3], [-6111549
/2097152, -6111549/2097152], [-657289/524288, -657289/524288], [-657289/524288
, -657289/524288], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-3
, -3], [-6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288],
[-657289/524288, -657289/524288], [1, 1]]]], [[1, 10, 9, 6, 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, 6, 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, 6, 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, 3, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 0, And(-\
1 < y,y < 0), z = z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096]
, [0, 0], [-1/2, -1/2], [0, 0]]]], [[1, 18, 5, 3, 1], [v < -2^(1/2), u = (v^2+
1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1/2, -1/2], [-1/4
, -1/4], [-2, -2]]]], [[1, 18, 5, 3, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), And
(-1 < x,x < 0), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v < -2^(1/2), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(
x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3
], [207243/65536, 3315889/1048576], [-1/2, -1/2], [-1/4, -1/4], [0, 0]]]], [[1
, 18, 5, 3, 4], [v < -2^(1/2), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(x < y
,y < 0), z = (y-x)^(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, 3, 5], [v < -
2^(1/2), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(1/2) <
z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1/2, -1/2],
[-1/4, -1/4], [2, 2]]]], [[1, 20, 3, 3, 1], [v < -2^(1/2), u = (v^2+2)^(1/2),
And(-3 < x,x < -1), And(x-1 < y,y < x), z = z], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [-2, -2], [-5/2, -5/2], [0, 0]]]], [[2, 2, 7
, 7, 1], [v = -2^(1/2), u = -2, And(0 < x,x < 1), And(x < y,y < x+3), z < -(y-
x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [1/2
, 1/2], [2, 2], [-3, -3]]]], [[2, 2, 7, 7, 2], [v = -2^(1/2), u = -2, And(0 <
x,x < 1), And(x < y,y < x+3), z = -(y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-2, -2], [1/2, 1/2], [2, 2], [-1284239/1048576, -\
642119/524288]]]], [[2, 2, 7, 7, 3], [v = -2^(1/2), u = -2, And(0 < x,x < 1),
And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
-1482911/1048576, -741455/524288], [-2, -2], [1/2, 1/2], [2, 2], [0, 0]]]], [[
2, 2, 7, 7, 4], [v = -2^(1/2), u = -2, And(0 < x,x < 1), And(x < y,y < x+3), z
= (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2],
[1/2, 1/2], [2, 2], [642119/524288, 1284239/1048576]]]], [[2, 2, 7, 7, 5], [v
= -2^(1/2), u = -2, And(0 < x,x < 1), And(x < y,y < x+3), (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [1/2, 1/2], [2,
2], [3, 3]]]], [[2, 4, 5, 5, 1], [v = -2^(1/2), u = -3^(1/2), And(-1 < x,x < 0
), And(0 < y,y < x+2), z < -(y-x)^(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, 5, 2], [v = -2^(1/2), u = -3^(1/2), And(-1 < x,x <
0), And(0 < y,y < x+2), z = -(y-x)^(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, 5, 3], [v = -2^(1/2), u =
-3^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x
)^(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, 5,
4], [v = -2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), z = (y
-x)^(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, 5, 5], [v = -2^(1/2), u = -3^(1/2), And(-1 < x,x < 0),
And(0 < y,y < x+2), (y-x)^(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, 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-1 < y,y < x), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/2, -1/2]
, [-7/8, -7/8], [0, 0]]]], [[2, 13, 2, 7, 1], [v = -2^(1/2), And(1 < u,u < -v)
, x = u^2-3, 0 < y, z < -(y-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [1265743/1048576, 1265743/1048576], [-3235683/2097152, -\
1617841/1048576], [1, 1], [-3, -3]]]], [[2, 13, 2, 7, 2], [v = -2^(1/2), And(1
< u,u < -v), x = u^2-3, 0 < y, z = -(y-u^2+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, 7, 3], [v = -2^(1/2), And(1 < u,u < -v), x = u^2-3, 0
< y, And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+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, 7, 4], [v = -2^(1/2), And(1 < u,u < -v), x = u^2-3, 0 < y, z = (y-u^2+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, 7, 5], [v = -2^(1/2), And(1 <
u,u < -v), x = u^2-3, 0 < y, (y-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-3235683/
2097152, -1617841/1048576], [1, 1], [3, 3]]]], [[2, 15, 3, 4, 1], [v = -2^(1/2
), And(-v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y = x-u^2+3, z < -(-u^2+3)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152
, 3299097/2097152], [-2594957/2097152, -2594957/2097152], [-1493417/2097152, -\
186677/262144], [-2, -2]]]], [[2, 15, 3, 4, 2], [v = -2^(1/2), And(-v < u,u <
3^(1/2)), And(-u^2+1 < x,x < -1), y = x-u^2+3, z = -(-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-2594957/2097152, -2594957/2097152], [-1493417/2097152, -186677/
262144], [-1519901/2097152, -379975/524288]]]], [[2, 15, 3, 4, 3], [v = -2^(1/
2), And(-v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y = x-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], [-2594957/2097152, -2594957/
2097152], [-1493417/2097152, -186677/262144], [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 = x-u^2+3, z =
(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097
/2097152, 3299097/2097152], [-2594957/2097152, -2594957/2097152], [-1493417/
2097152, -186677/262144], [379975/524288, 759951/1048576]]]], [[2, 15, 3, 4, 5
], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y = x-u^2+3
, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/2097152], [-\
1493417/2097152, -186677/262144], [2, 2]]]], [[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 < -y^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [0, 0], [
8957873/2097152, 8957873/2097152], [-4, -4]]]], [[3, 1, 6, 5, 2], [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 = -y^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [0, 0],
[8957873/2097152, 8957873/2097152], [-2167143/1048576, -1083571/524288]]]], [[
3, 1, 6, 5, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = 0, And(0 <
y,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], [8957873/2097152, 8957873/
2097152], [0, 0]]]], [[3, 1, 6, 5, 4], [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 = y^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [0, 0], [8957873/2097152, 
8957873/2097152], [1083571/524288, 2167143/1048576]]]], [[3, 1, 6, 5, 5], [And
(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = 0, And(0 < y,y < u^2-v^2+1), y^
(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [
0, 0], [8957873/2097152, 8957873/2097152], [4, 4]]]], [[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 = 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, 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
= 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, 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 = 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, 6, 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, 6, 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, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y
< 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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], [6860721/1048576, 3430361/524288], [-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], [6860721/1048576, 3430361/524288], [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], [6860721/1048576, 
3430361/524288], [1, 1]]]], [[4, 2, 5, 3, 1], [v = -1, u = -3^(1/2), And(-1 <
x,x < 0), And(x-1 < y,y < x), z = z], [regular_chain, [[-1, -1], [-1816187/
1048576, -3632373/2097152], [-1/2, -1/2], [-1, -1], [0, 0]]]], [[4, 6, 3, 2, 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, 2, 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, 2, 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, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 3, 1], [v = -1, u = 3^(1/2), And(-3 < x,x < -1), And(
x-1 < y,y < x), z = z], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [-2, -2], [-5/2, -5/2], [0, 0]]]], [[4, 15, 11, 2, 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, 4, 5, 3, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), 
And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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, 3, 2], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x
< 0), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), 
And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x
< 0), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), 
And(x < y,y < 0), (y-x)^(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, 3, 7
, 1], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 0), x+1 < y, z < -(y-x)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1/2, -1/2], [2, 2], [-3, -3]]
]], [[5, 6, 3, 7, 2], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 0), x+1 < y, z
= -(y-x)^(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, 7, 3], [And(-1 < v,v <
0), u = v, And(-1 < x,x < 0), x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1/2, -1/2], [2, 2], [0, 0]]]],
[[5, 6, 3, 7, 4], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 0), x+1 < y, z = (
y-x)^(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, 7, 5], [And(-1 < v,v < 0), u
= v, And(-1 < x,x < 0), x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/
2], [-1/2, -1/2], [-1/2, -1/2], [2, 2], [3, 3]]]], [[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 < x, z =
z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-\
1248837/4194304, -1248837/4194304], [-2, -2], [0, 0]]]], [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [343151/262144, 343151/262144], [-1/2, -1/2], [1029453/1048576, 1029453/
1048576], [-3, -3]]]], [[5, 11, 5, 7, 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 < u^2-v^2+x+1), z = -
(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [
-1/2, -1/2], [1029453/1048576, 1029453/1048576], [-159551/131072, -1276407/
1048576]]]], [[5, 11, 5, 7, 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 < u^2-v^2+x+1), And(-(y-x)^(1/2
) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151
/262144], [-1/2, -1/2], [1029453/1048576, 1029453/1048576], [0, 0]]]], [[5, 11
, 5, 7, 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 < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [
[-1/2, -1/2], [343151/262144, 343151/262144], [-1/2, -1/2], [1029453/1048576,
1029453/1048576], [1276407/1048576, 159551/131072]]]], [[5, 11, 5, 7, 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 < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [-1/2, -1/2], [1029453/1048576, 1029453/1048576
], [3, 3]]]], [[6, 1, 9, 9, 1], [v = 0, u < -2^(1/2), And(1 < x,x < u^2-1), u^
2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [9/2, 9/2], [
16, 16], [-5, -5]]]], [[6, 1, 9, 9, 2], [v = 0, u < -2^(1/2), And(1 < x,x < u^
2-1), u^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [9/2,
9/2], [16, 16], [-3555895/1048576, -1777947/524288]]]], [[6, 1, 9, 9, 3], [v =
0, u < -2^(1/2), And(1 < x,x < u^2-1), u^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[0, 0], [-3, -3], [9/2, 9/2], [16, 16], [0, 0]]
]], [[6, 1, 9, 9, 4], [v = 0, u < -2^(1/2), And(1 < x,x < u^2-1), u^2+x+1 < y,
z = (y-x)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [9/2, 9/2], [16, 16], [
1777947/524288, 3555895/1048576]]]], [[6, 1, 9, 9, 5], [v = 0, u < -2^(1/2), 
And(1 < x,x < u^2-1), u^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[0, 0],
[-3, -3], [9/2, 9/2], [16, 16], [5, 5]]]], [[6, 3, 7, 1, 1], [v = 0, And(-2^(1
/2) < u,u < -1), And(0 < x,x < u^2-1), y < x-u^2+1, z = z], [regular_chain, [[
0, 0], [-1265743/1048576, -1265743/1048576], [239655/1048576, 239655/1048576],
[-2, -2], [0, 0]]]], [[6, 9, 7, 2, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(0 <
x,x < u^2-1), y = x-u^2+1, z = z], [regular_chain, [[0, 0], [1265743/1048576,
1265743/1048576], [239655/1048576, 239655/1048576], [-29957/131072, -239655/
1048576], [0, 0]]]], [[6, 11, 4, 1, 1], [v = 0, 2^(1/2) < u, x = -1, y < -u^2,
z = z], [regular_chain, [[0, 0], [3, 3], [-1, -1], [-10, -10], [0, 0]]]], [[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(0 < y,y < u^2-v^2-1), 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, 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 = x, z < 0], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1248837/
4194304, -1248837/4194304], [-156105/524288, -312209/1048576], [-1, -1]]]], [[
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 = x, z = 0], [regular_chain, [[1/2, 1/2], [-1696631/2097152,
-1696631/2097152], [-1248837/4194304, -1248837/4194304], [-156105/524288, -\
312209/1048576], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[
1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1248837/4194304, -1248837/
4194304], [-156105/524288, -312209/1048576], [1, 1]]]], [[8, 1, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, 0 < y
, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [-4, -4], [1, 1], [-4, -4]]]], [[8, 3, 1, 9, 2], [v = 1, And(-3^(1/2
) < u,u < -2^(1/2)), x < -u^2, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[1,
1], [-6598195/4194304, -6598195/4194304], [-4, -4], [1, 1], [-146543/65536, -\
2344687/1048576]]]], [[8, 3, 1, 9, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)),
x < -u^2, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1,
1], [-6598195/4194304, -6598195/4194304], [-4, -4], [1, 1], [0, 0]]]], [[8, 3,
1, 9, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, 0 < y, z = (y-x)^(
1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-4, -4]
, [1, 1], [2344687/1048576, 146543/65536]]]], [[8, 3, 1, 9, 5], [v = 1, And(-3
^(1/2) < u,u < -2^(1/2)), x < -u^2, 0 < y, (y-x)^(1/2) < z], [regular_chain, [
[1, 1], [-6598195/4194304, -6598195/4194304], [-4, -4], [1, 1], [4, 4]]]], [[8
, 7, 2, 5, 1], [v = 1, And(-1 < u,u < 0), x = u^2-2, And(2*u^2-2 < y,y < 0), z
< -(y-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-7/4, -7/4], [-3/
4, -3/4], [-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 < 0), z = -(y-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1/2,
-1/2], [-7/4, -7/4], [-3/4, -3/4], [-1, -1]]]], [[8, 7, 2, 5, 3], [v = 1, And(
-1 < u,u < 0), x = u^2-2, And(2*u^2-2 < y,y < 0), And(-(y-u^2+2)^(1/2) < z,z <
(y-u^2+2)^(1/2))], [regular_chain, [[1, 1], [-1/2, -1/2], [-7/4, -7/4], [-3/4,
-3/4], [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 < 0), z = (y-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2
], [-7/4, -7/4], [-3/4, -3/4], [1, 1]]]], [[8, 7, 2, 5, 5], [v = 1, And(-1 < u
,u < 0), x = u^2-2, And(2*u^2-2 < y,y < 0), (y-u^2+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, 8, 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,
8, 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, 8, 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, 8, 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, 8,
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, 3
, 1], [v = 1, u = 3^(1/2), x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[
1, 1], [908093/524288, 1816187/1048576], [1, 1], [1/2, 1/2], [0, 0]]]], [[9, 1
, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 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(0 < y,y < x-u^2
+v^2+1), z < -(y-x)^(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, 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(0 <
y,y < x-u^2+v^2+1), z = -(y-x)^(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, 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(0 < y,y < x-u^2+v^2+1), And(-(y-x)^(1
/2) < z,z < (y-x)^(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, 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(0 < y
,y < x-u^2+v^2+1), z = (y-x)^(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, 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(0 < y,y < x-u^2+v^2+1), (y-x)^(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, 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(u^2-v^2+2 < y,y < 1), z = z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [1, 1], [808921/
1048576, 808921/1048576], [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 = x-u^2+v^2+1, z < -(-u^2
+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [1/2, 1/2], [542767/262144, 2171069/1048576], [-3, -\
3]]]], [[9, 11, 9, 8, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v
), And(0 < x,x < 1), y = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [1/2,
1/2], [542767/262144, 2171069/1048576], [-1314069/1048576, -328517/262144]]]],
[[9, 11, 9, 8, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(
0 < x,x < 1), y = x-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], [1/2, 1/2], [542767/262144, 2171069/1048576], [0, 0]]]], [[9,
11, 9, 8, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(0 < x
,x < 1), y = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [
542767/262144, 2171069/1048576], [328517/262144, 1314069/1048576]]]], [[9, 11,
9, 8, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(0 < x,x <
1), y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [
542767/262144, 2171069/1048576], [3, 3]]]], [[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 = -u^2+v^2+2, z =
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 
898327/524288], [1, 1], [273305/524288, 546611/1048576], [0, 0]]]], [[9, 17, 7
, 7, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(x <
y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [1/2, 1/2], [10006449/2097152, 10006449/2097152], [-\
4, -4]]]], [[9, 17, 7, 7, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(
0 < x,x < 1), And(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 7, 3],
[And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(x < y,y < u^
2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [1/2, 1/2], [10006449/2097152, 10006449/
2097152], [0, 0]]]], [[9, 17, 7, 7, 4], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2)
< u, And(0 < x,x < 1), And(x < y,y < u^2-v^2+x+1), z = (y-x)^(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, 7, 5], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(0 < x,x < 1),
And(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [1/2, 1/2], [10006449/2097152, 10006449/
2097152], [4, 4]]]], [[10, 5, 10, 6, 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], [1599345/
1048576, 799673/524288], [-2, -2]]]], [[10, 5, 10, 6, 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]
, [1599345/1048576, 799673/524288], [-379975/524288, -1519899/2097152]]]], [[
10, 5, 10, 6, 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], [1599345/
1048576, 799673/524288], [-1/4194304, -1/4194304]]]], [[10, 5, 10, 6, 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], [1599345/1048576, 799673/524288], [759949/1048576, 379975/
524288]]]], [[10, 5, 10, 6, 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], [1599345/1048576, 
799673/524288], [2, 2]]]], [[10, 7, 11, 5, 1], [v = 2^(1/2), And(-v < u,u < -1
), 1 < x, And(x < y,y < u^2+x-1), z < -(y-x)^(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(x < y,y < u^2+x-1), z = -(y-x)^(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(x < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2+x-1), z = (y
-x)^(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(x < y,y < u^2+x-1), (y-x)^(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 < -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], [17/8, 17/8], [-3, -3]]]], [[10, 11, 8, 5, 2], [v = 2^(1/2), And(0 < u,u
< 1), x = -u^2+1, And(-u^2+1 < y,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], [17/
8, 17/8], [-1229565/1048576, -307391/262144]]]], [[10, 11, 8, 5, 3], [v = 2^(1
/2), And(0 < u,u < 1), x = -u^2+1, And(-u^2+1 < 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], [1/2, 1/2], [3/4, 3/4], [17/8, 17/8], [0, 0]]]], [[10, 11, 8, 5, 4],
[v = 2^(1/2), And(0 < u,u < 1), x = -u^2+1, And(-u^2+1 < y,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], [17/8, 17/8], [307391/262144, 1229565/1048576]]]], [[10, 11, 8,
5, 5], [v = 2^(1/2), And(0 < u,u < 1), x = -u^2+1, And(-u^2+1 < y,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], [17/8, 17/8], [3, 3]]]], [[10, 13, 7, 8, 1], [v = 2^(1/2
), And(1 < u,u < v), And(-u^2+1 < x,x < 0), y = x-u^2+3, z < -(-u^2+3)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-239655/1048576, -239655/1048576], [689093/524288, 1378187/1048576]
, [-3, -3]]]], [[10, 13, 7, 8, 2], [v = 2^(1/2), And(1 < u,u < v), And(-u^2+1
< x,x < 0), y = x-u^2+3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-239655/1048576, -\
239655/1048576], [689093/524288, 1378187/1048576], [-1302471/1048576, -651235/
524288]]]], [[10, 13, 7, 8, 3], [v = 2^(1/2), And(1 < u,u < v), And(-u^2+1 < x
,x < 0), y = x-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], [-239655/1048576, -239655/1048576], [689093/524288, 1378187/1048576]
, [0, 0]]]], [[10, 13, 7, 8, 4], [v = 2^(1/2), And(1 < u,u < v), And(-u^2+1 <
x,x < 0), y = x-u^2+3, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-239655/1048576, -\
239655/1048576], [689093/524288, 1378187/1048576], [651235/524288, 1302471/
1048576]]]], [[10, 13, 7, 8, 5], [v = 2^(1/2), And(1 < u,u < v), And(-u^2+1 <
x,x < 0), y = x-u^2+3, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-239655/1048576, -\
239655/1048576], [689093/524288, 1378187/1048576], [3, 3]]]], [[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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2-
v^2+x+1), z = (y-x)^(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(x < y,y < u^2-v^2+x+1), (y-x)^(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 = x+2, z < -2^(1/2)], [regular_chain, [[3, 3],
[-3315889/1048576, -207243/65536], [2, 2], [4, 4], [-3, -3]]]], [[11, 4, 9, 6,
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, 6, 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, 6, 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, 6, 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, 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 = u^2-v^2+
x+1, z = z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608],
[-4, -4], [-1181835/262144, -9454679/2097152], [0, 0]]]], [[11, 10, 7, 5, 1],
[2^(1/2) < v, u = -(v^2-2)^(1/2), And(0 < x,x < 1), And(0 < y,y < x), 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 = 0, z
< -(-x)^(1/2)], [regular_chain, [[3, 3], [3, 3], [-2, -2], [0, 0], [-3, -3]]]]
, [[11, 16, 1, 6, 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, 6, 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, 6, 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, 6, 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, 3, 2, 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, 2, 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, 2
, 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]]]], [[11, 21, 10, 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 = z], [regular_chain, [[3, 3], [5, 5], [
15, 15], [15/2, 15/2], [0, 0]]]], [[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(-u^2+v^2+2 < y,y < 1), 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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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(x < y,y <
u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2-v^2+x+1), z = (y-x)^(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(x < y,y < u^2-v^2+x+1), (y-x
)^(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 = u^2-v^2+2, z
= z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [1, 1
], [128885/262144, 515541/1048576], [0, 0]]]], [[1, 15, 4, 7, 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 < -(y+1)^
(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-1, -1
], [133001/524288, 133001/524288], [-3, -3]]]], [[1, 15, 4, 7, 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 = -(y+1)
^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-1, -\
1], [133001/524288, 133001/524288], [-293517/262144, -1174067/1048576]]]], [[1
, 15, 4, 7, 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(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-3,
-3], [6111549/2097152, 6111549/2097152], [-1, -1], [133001/524288, 133001/
524288], [0, 0]]]], [[1, 15, 4, 7, 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 = (y+1)^(1/2)], [regular_chain, [[-3
, -3], [6111549/2097152, 6111549/2097152], [-1, -1], [133001/524288, 133001/
524288], [1174067/1048576, 293517/262144]]]], [[1, 15, 4, 7, 5], [v < -2^(1/2)
, And((v^2-1)^(1/2) < u,u < -v), x = -1, And(0 < y,y < -u^2+v^2), (y+1)^(1/2)
< z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-1, -1],
[133001/524288, 133001/524288], [3, 3]]]], [[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 = x, z < 0], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1579769/2097152, -\
1579769/2097152], [-1579769/2097152, -1579769/2097152], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-3, -3], [403851/131072, 403851/131072],
[-1579769/2097152, -1579769/2097152], [-1579769/2097152, -1579769/2097152], [0
, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [-1579769/
2097152, -1579769/2097152], [1, 1]]]], [[1, 21, 2, 6, 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, 6, 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, 6, 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, 6
, 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, 6, 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, 8, 5, 1], [v = -2^(1/2), u < -2,
x = 1, And(0 < y,y < 1), 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(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)
^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(
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(
-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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, z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-3/2,
-3/2], [-3, -3], [0, 0]]]], [[2, 18, 1, 3, 1], [v = -2^(1/2), u = 2, x < -3, 
And(x-1 < y,y < x), z = z], [regular_chain, [[-1482911/1048576, -741455/524288
], [2, 2], [-4, -4], [-9/2, -9/2], [0, 0]]]], [[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 < y,y < 0), z < -(y
-x)^(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,
3, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(
x < y,y < 0), z = -(y-x)^(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, 3, 3], [And(-2^(1/2) < v,v <
-1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), And(-(y-x)^(1/2
) < z,z < (y-x)^(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, 3, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2
), And(-2 < x,x < -1), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [
And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(x < y,y
< 0), (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-410915/262144, -3287319/2097152], [-3/2, -3/2], [-3/4, -3/4], [2, 2]]]], [[3
, 6, 1, 5, 1], [And(-2^(1/2) < v,v < -1), u = v, x < -1, And(x+1 < y,y < 0), z
< -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [-2, -2], [-1/2, -1/2], [-3, -3]]]], [[3,
6, 1, 5, 2], [And(-2^(1/2) < v,v < -1), u = v, x < -1, And(x+1 < y,y < 0), z =
-(y-x)^(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, 5, 3], [And(-2^(1/2) < v,v < -1), u = v, x < -1
, And(x+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [
-2, -2], [-1/2, -1/2], [0, 0]]]], [[3, 6, 1, 5, 4], [And(-2^(1/2) < v,v < -1),
u = v, x < -1, And(x+1 < y,y < 0), z = (y-x)^(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, 5, 5], [And
(-2^(1/2) < v,v < -1), u = v, x < -1, And(x+1 < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[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, 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, 2, 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, 2, 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, 1, 4, 1], [And(-2^(1
/2) < v,v < -1), u = -v, x < -1, y = x+1, 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 = x+1, 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 = x+1, 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 = x+1, 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 = x+1, 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(x < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-3647693/2097152, -3647693/2097152], [-3647693/4194304, -3647693/
4194304], [-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(x < y,y < 0),
z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [-3647693/2097152, -3647693/2097152], [-3647693
/4194304, -3647693/4194304], [-1955731/2097152, -7822923/8388608]]]], [[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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288,
898327/524288], [-3647693/2097152, -3647693/2097152], [-3647693/4194304, -\
3647693/4194304], [-3/16777216, -3/16777216]]]], [[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(x < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [-3647693/2097152,
-3647693/2097152], [-3647693/4194304, -3647693/4194304], [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(x < y,y < 0), (y-
x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/
524288, 898327/524288], [-3647693/2097152, -3647693/2097152], [-3647693/
4194304, -3647693/4194304], [2, 2]]]], [[3, 16, 9, 4, 1], [And(-2^(1/2) < v,v
< -1), u = (v^2+2)^(1/2), 1 < x, y = x-1, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [2, 2], [1, 1], [
0, 0]]]], [[4, 3, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v
= -1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(x-u^2+2 < y,y < 0),
z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-1288231/1048576, -1288231/1048576], [-1437931/4194304, -1437931/
4194304], [-2, -2]]]], [[4, 5, 3, 5, 2], [v = -1, And(-2^(1/2) < u,u < -1), 
And(-u^2 < x,x < -1), And(x-u^2+2 < y,y < 0), z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1288231/
1048576, -1288231/1048576], [-1437931/4194304, -1437931/4194304], [-15789521/
16777216, -986845/1048576]]]], [[4, 5, 3, 5, 3], [v = -1, And(-2^(1/2) < u,u <
-1), And(-u^2 < x,x < -1), And(x-u^2+2 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y
-x)^(1/2))], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576],
[-1288231/1048576, -1288231/1048576], [-1437931/4194304, -1437931/4194304], [0
, 0]]]], [[4, 5, 3, 5, 4], [v = -1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x <
-1), And(x-u^2+2 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [-\
1437931/4194304, -1437931/4194304], [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(x-u^2
+2 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576,
-1265743/1048576], [-1288231/1048576, -1288231/1048576], [-1437931/4194304, -\
1437931/4194304], [2, 2]]]], [[4, 11, 5, 2, 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], [-3235683/
4194304, -3235683/4194304], [-1, -1]]]], [[4, 11, 5, 2, 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], [-\
3235683/4194304, -3235683/4194304], [0, 0]]]], [[4, 11, 5, 2, 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], [-3235683/4194304, -3235683/4194304], [1, 1]]]], [[4, 13, 4, 1, 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], [-3, -\
3], [0, 0]]]], [[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 < 0), z = z], [regular_chain, [[-1/2, -1/2], [-3, -3],
[1, 1], [-27/8, -27/8], [0, 0]]]], [[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 = x-u^2+v^2+1, z =
z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1/2, -1
/2], [-4041321/4194304, -16165283/16777216], [0, 0]]]], [[5, 12, 4, 9, 1], [
And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -1, 2 < y, z < -(y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1, -1], [3, 3], [-3, -3]]]], [[5,
12, 4, 9, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -1, 2 < y, z = -(y+1)
^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1, -1], [3, 3], [-2, -2]
]]], [[5, 12, 4, 9, 3], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -1, 2 < y,
And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [3/2, 3
/2], [-1, -1], [3, 3], [0, 0]]]], [[5, 12, 4, 9, 4], [And(-1 < v,v < 0), u = (
v^2+2)^(1/2), x = -1, 2 < y, z = (y+1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[3/2, 3/2], [-1, -1], [3, 3], [2, 2]]]], [[5, 12, 4, 9, 5], [And(-1 < v,v < 0)
, u = (v^2+2)^(1/2), x = -1, 2 < y, (y+1)^(1/2) < z], [regular_chain, [[-1/2,
-1/2], [3/2, 3/2], [-1, -1], [3, 3], [3, 3]]]], [[6, 1, 1, 8, 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, 8, 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, 8, 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, 8,
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, 8, 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, 7, 6,
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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 3, 1], [v = 0, u = 0, x = 1, And(0 < y,y < 1), z = z], [
regular_chain, [[0, 0], [0, 0], [1, 1], [1/2, 1/2], [0, 0]]]], [[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(x-u^
2+v^2+1 < y,y < x), z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -43
/8], [-37/4, -37/4], [0, 0]]]], [[7, 2, 9, 2, 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, 6, 7, 7, 1], [And(0 < v,v < 1), u = -v, 1 < x, x
+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2],
[4, 4], [-3, -3]]]], [[7, 6, 7, 7, 2], [And(0 < v,v < 1), u = -v, 1 < x, x+1 <
y, z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2], [4, 4
], [-1482911/1048576, -741455/524288]]]], [[7, 6, 7, 7, 3], [And(0 < v,v < 1),
u = -v, 1 < x, x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[1/2, 1/2], [-1/2, -1/2], [2, 2], [4, 4], [0, 0]]]], [[7, 6, 7, 7, 4], [And
(0 < v,v < 1), u = -v, 1 < x, x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[1/2
, 1/2], [-1/2, -1/2], [2, 2], [4, 4], [741455/524288, 1482911/1048576]]]], [[7
, 6, 7, 7, 5], [And(0 < v,v < 1), u = -v, 1 < x, x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2], [4, 4], [3, 3]]]], [[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 =
x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-3, -3], [-1260655/524288, -2521309/1048576], [-2,
-2]]]], [[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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2,
1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [-1260655/524288, -2521309
/1048576], [-1618333/2097152, -3236665/4194304]]]], [[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 = x-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], [-3, -3], [-1260655/524288, -2521309/
1048576], [-1/8388608, -1/8388608]]]], [[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 = x-u^2+v^2+1, z = (-u^2+v^2+1
)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-3
, -3], [-1260655/524288, -2521309/1048576], [404583/524288, 809167/1048576]]]]
, [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2],
[1696631/2097152, 1696631/2097152], [-3, -3], [-1260655/524288, -2521309/
1048576], [2, 2]]]], [[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 < 2*u^2-2*v^2), z < -
(y-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/
262144], [243021/524288, 486043/1048576], [3555279/2097152, 3555279/2097152],
[-3, -3]]]], [[7, 11, 8, 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^2-1 < y,y < 2*u^2-2*v^2), z = -(y-u^2+
v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [
243021/524288, 486043/1048576], [3555279/2097152, 3555279/2097152], [-1163761/
1048576, -72735/65536]]]], [[7, 11, 8, 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^2-1 < y,y < 2*u^2-2*v^2)
, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[1/
2, 1/2], [343151/262144, 343151/262144], [243021/524288, 486043/1048576], [
3555279/2097152, 3555279/2097152], [0, 0]]]], [[7, 11, 8, 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^2-1 <
y,y < 2*u^2-2*v^2), z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [
343151/262144, 343151/262144], [243021/524288, 486043/1048576], [3555279/
2097152, 3555279/2097152], [72735/65536, 1163761/1048576]]]], [[7, 11, 8, 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^2-1 < y,y < 2*u^2-2*v^2), (y-u^2+v^2+1)^(1/2) < z], [regular_chain,
[[1/2, 1/2], [343151/262144, 343151/262144], [243021/524288, 486043/1048576],
[3555279/2097152, 3555279/2097152], [3, 3]]]], [[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 < -(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, 8, 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, 8, 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, 8, 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, 8, 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, 10, 1, 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], [
-1, -1], [0, 0]]]], [[8, 5, 9, 4, 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, 4, 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, 4, 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, 10, 4, 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, 4, 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, 4, 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, 7, 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), z
< -(y-x)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152],
[773191/1048576, 773191/1048576], [4141339/2097152, 4141339/2097152], [-3, -3]
]]], [[8, 13, 9, 7, 2], [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), z = -(y-x)^(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,
7, 3], [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), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [773191/1048576, 773191/1048576], [4141339/
2097152, 4141339/2097152], [0, 0]]]], [[8, 13, 9, 7, 4], [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), z = (y-x)^(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, 7, 5], [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), (y-x)^(1/2) < z], [regular_chain, [[1, 1],
[3299097/2097152, 3299097/2097152], [773191/1048576, 773191/1048576], [4141339
/2097152, 4141339/2097152], [3, 3]]]], [[9, 2, 2, 5, 1], [And(1 < v,v < 2^(1/2
)), u = -(v^2+2)^(1/2), x = -3, And(-3 < y,y < 0), z < -(y+3)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-3, -3], [-3/2, -3/2], [-3, -3]]]], [[9, 2, 2, 5, 2], [And(
1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -3, And(-3 < y,y < 0), z = -(y+3)^
(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, 5, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -3, 
And(-3 < y,y < 0), And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-3,
-3], [-3/2, -3/2], [0, 0]]]], [[9, 2, 2, 5, 4], [And(1 < v,v < 2^(1/2)), u = -
(v^2+2)^(1/2), x = -3, And(-3 < y,y < 0), z = (y+3)^(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, 5, 5], [And
(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -3, And(-3 < y,y < 0), (y+3)^(1/2
) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152
, -7798593/4194304], [-3, -3], [-3/2, -3/2], [3, 3]]]], [[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 <
0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [2, 2], [-1, -1], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [-2587387/2097152, -2587387/2097152], [-\
646847/524288, -1293693/1048576], [-1, -1]]]], [[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 = x, z
= 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [-2587387/2097152, -2587387/2097152], [-646847/524288, -\
1293693/1048576], [0, 0]]]], [[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 = x, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-2587387/2097152, -2587387/2097152], [-646847/524288, -1293693/
1048576], [1, 1]]]], [[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(-2*u^2+2*v^2 < y,y < -u^2+v^2
-1), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [-1299559/524288, -2599117/1048576], [-91203205/
33554432, -91203205/33554432], [0, 0]]]], [[10, 1, 6, 3, 1], [v = 2^(1/2), u <
-2, x = 0, And(-u^2+3 < y,y < 0), z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [0, 0], [-3, -3], [0, 0]]]], [[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-1, z <
-(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [-3651195/2097152, -3651195/2097152], [777021/
1048576, 388511/524288], [-3, -3]]]], [[10, 3, 3, 8, 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], [777021/1048576, 388511/524288
], [-825991/524288, -3303963/2097152]]]], [[10, 3, 3, 8, 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], [
777021/1048576, 388511/524288], [-1/4194304, -1/4194304]]]], [[10, 3, 3, 8, 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], [
777021/1048576, 388511/524288], [1651981/1048576, 825991/524288]]]], [[10, 3,
3, 8, 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],
[777021/1048576, 388511/524288], [3, 3]]]], [[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-1 < y,y < x), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-15/8, -15/8]
, [-9/4, -9/4], [0, 0]]]], [[10, 10, 9, 6, 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, 6, 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, 6, 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, 2, 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, 2, 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, 2, 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, 3, 1], [v = 2^(1/2), u = 3^(1/2), 1 < x, And(0 < y
,y < x), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [908093/
524288, 1816187/1048576], [2, 2], [1, 1], [0, 0]]]], [[10, 19, 5, 4, 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, 4, 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, 4, 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, 7, 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 < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-5, -5], [16, 16], [49/2, 49/2], [-4, -4]]]], [[11, 1
, 11, 7, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [16, 16], [
49/2, 49/2], [-24456785/8388608, -1528549/524288]]]], [[11, 1, 11, 7, 3], [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), And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-5, -5], [16, 16]
, [49/2, 49/2], [0, 0]]]], [[11, 1, 11, 7, 4], [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 = (y-x)^(1/2)], [regular_chain
, [[3, 3], [-5, -5], [16, 16], [49/2, 49/2], [1528549/524288, 3057099/1048576]
]]], [[11, 1, 11, 7, 5], [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), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-5, -5], [
16, 16], [49/2, 49/2], [4, 4]]]], [[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 < 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, 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 < 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, 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
< 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, 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 < 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, 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 < 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, 9, 6, 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], [1040859/1048576, 260215/
262144], [-2, -2]]]], [[11, 7, 9, 6, 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], [
1040859/1048576, 260215/262144], [-735979/1048576, -1471957/2097152]]]], [[11,
7, 9, 6, 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], [
1040859/1048576, 260215/262144], [-1/4194304, -1/4194304]]]], [[11, 7, 9, 6, 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], [1040859/1048576, 260215/262144], [367989/524288
, 735979/1048576]]]], [[11, 7, 9, 6, 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], [
1040859/1048576, 260215/262144], [2, 2]]]], [[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(0 < y
,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [1435023/524288
, 1435023/524288], [-919691/524288, -919691/524288], [395403/1048576, 395403/
1048576], [-3, -3]]]], [[11, 13, 3, 7, 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-u^2+v^2+1), z
= -(y-x)^(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, 7, 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-u^2+v^2
+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [1435023
/524288, 1435023/524288], [-919691/524288, -919691/524288], [395403/1048576, 
395403/1048576], [0, 0]]]], [[11, 13, 3, 7, 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-u^2+v^2+1
), z = (y-x)^(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, 7, 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-u^2+v^2+
1), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288
], [-919691/524288, -919691/524288], [395403/1048576, 395403/1048576], [3, 3]]
]], [[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 < x, z = z], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [-657289/524288, -657289/524288], [-3, -3], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[3, 3], [3396811/1048576,
3396811/1048576], [-915943/524288, -915943/524288], [-915943/524288, -915943/
524288], [-1, -1]]]], [[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 = x, z = 0], [regular_chain,
[[3, 3], [3396811/1048576, 3396811/1048576], [-915943/524288, -915943/524288],
[-915943/524288, -915943/524288], [0, 0]]]], [[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 = x, 0
< z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-915943/
524288, -915943/524288], [-915943/524288, -915943/524288], [1, 1]]]], [[11, 20
, 9, 7, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), 1 < x, And(x < y,y < x+3), z < -(
y-x)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [2, 2
], [7/2, 7/2], [-3, -3]]]], [[11, 20, 9, 7, 2], [2^(1/2) < v, u = (v^2+2)^(1/2
), 1 < x, And(x < y,y < x+3), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [
3477733/1048576, 1738867/524288], [2, 2], [7/2, 7/2], [-1284239/1048576, -\
642119/524288]]]], [[11, 20, 9, 7, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), 1 < x,
And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
3, 3], [3477733/1048576, 1738867/524288], [2, 2], [7/2, 7/2], [0, 0]]]], [[11,
20, 9, 7, 4], [2^(1/2) < v, u = (v^2+2)^(1/2), 1 < x, And(x < y,y < x+3), z =
(y-x)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [2,
2], [7/2, 7/2], [642119/524288, 1284239/1048576]]]], [[11, 20, 9, 7, 5], [2^(1
/2) < v, u = (v^2+2)^(1/2), 1 < x, And(x < y,y < x+3), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [2, 2], [7/2, 7/2],
[3, 3]]]], [[1, 2, 1, 7, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), x < -3, And(x+
3 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288,
-3477733/1048576], [-4, -4], [-1/2, -1/2], [-3, -3]]]], [[1, 2, 1, 7, 2], [v <
-2^(1/2), u = -(v^2+2)^(1/2), x < -3, And(x+3 < y,y < 0), z = -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-4, -4], [-1/2
, -1/2], [-7846825/4194304, -980853/524288]]]], [[1, 2, 1, 7, 3], [v < -2^(1/2
), u = -(v^2+2)^(1/2), x < -3, And(x+3 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y
-x)^(1/2))], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [
-4, -4], [-1/2, -1/2], [0, 0]]]], [[1, 2, 1, 7, 4], [v < -2^(1/2), u = -(v^2+2
)^(1/2), x < -3, And(x+3 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-3, -\
3], [-1738867/524288, -3477733/1048576], [-4, -4], [-1/2, -1/2], [980853/
524288, 1961707/1048576]]]], [[1, 2, 1, 7, 5], [v < -2^(1/2), u = -(v^2+2)^(1/
2), x < -3, And(x+3 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [
-1738867/524288, -3477733/1048576], [-4, -4], [-1/2, -1/2], [3, 3]]]], [[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(0 < y,y < -u^2+v^2+2), z = z], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [1, 1], [530531/2097152, 530531/2097152], [0, 0]]]
], [[1, 8, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x,
x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [2, 2], [6, 6], [-3, -3]]]], [[1, 9, 11, 9, 2], [
v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, x-u^2+v^2+1 <
y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369
/8388608], [2, 2], [6, 6], [-2, -2]]]], [[1, 9, 11, 9, 3], [v < -2^(1/2), And(
-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, x-u^2+v^2+1 < y, And(-(y-x)^(1/
2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [2, 2], [6, 6], [0, 0]]]], [[1, 9, 11, 9, 4], [v < -2^(1/2)
, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, x-u^2+v^2+1 < y, z = (y-x
)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [
2, 2], [6, 6], [2, 2]]]], [[1, 9, 11, 9, 5], [v < -2^(1/2), And(-(v^2-1)^(1/2)
< u,u < -(v^2-2)^(1/2)), 1 < x, x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [2, 2], [6,
6], [3, 3]]]], [[1, 15, 4, 1, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v)
, x = -1, y < -1, z = z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549
/2097152], [-1, -1], [-2, -2], [0, 0]]]], [[1, 17, 4, 9, 1], [v < -2^(1/2), 
And(-v < u,u < (v^2+1)^(1/2)), x = -1, u^2-v^2 < y, z < -(y+1)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1, -1], [2, 2], [-\
3, -3]]]], [[1, 17, 4, 9, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x
= -1, u^2-v^2 < y, z = -(y+1)^(1/2)], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-1, -1], [2, 2], [-1816187/1048576, -3632373/2097152]
]]], [[1, 17, 4, 9, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -1,
u^2-v^2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-3, -3]
, [403851/131072, 403851/131072], [-1, -1], [2, 2], [-1/4194304, -1/4194304]]]
], [[1, 17, 4, 9, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -1, u^
2-v^2 < y, z = (y+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851
/131072], [-1, -1], [2, 2], [908093/524288, 1816187/1048576]]]], [[1, 17, 4, 9
, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -1, u^2-v^2 < y, (y+1)
^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1, -\
1], [2, 2], [3, 3]]]], [[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 < -(y-x)^(1/2)], [regular_chain
, [[-3, -3], [5, 5], [-9, -9], [9, 9], [-6, -6]]]], [[1, 21, 3, 9, 2], [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 = -(
y-x)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-9, -9], [9, 9], [-1112183/
262144, -4448731/1048576]]]], [[1, 21, 3, 9, 3], [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, And(-(y-x)^(1/2) < z,z < (y-
x)^(1/2))], [regular_chain, [[-3, -3], [5, 5], [-9, -9], [9, 9], [0, 0]]]], [[
1, 21, 3, 9, 4], [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 = (y-x)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-9, -9]
, [9, 9], [4448731/1048576, 1112183/262144]]]], [[1, 21, 3, 9, 5], [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, (y-x)^(1/2
) < z], [regular_chain, [[-3, -3], [5, 5], [-9, -9], [9, 9], [6, 6]]]], [[2, 1
, 10, 1, 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], [-1, -1], [0, 0]]]], [[
2, 10, 2, 7, 1], [v = -2^(1/2), u = 0, x = -3, 0 < y, z < -(y+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-3, -3], [1, 1],
[-3, -3]]]], [[2, 10, 2, 7, 2], [v = -2^(1/2), u = 0, x = -3, 0 < y, z = -(y+3
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-3, -3
], [1, 1], [-2, -2]]]], [[2, 10, 2, 7, 3], [v = -2^(1/2), u = 0, x = -3, 0 < y
, And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [0, 0], [-3, -3], [1, 1], [0, 0]]]], [[2, 10, 2, 7, 4], [v =
-2^(1/2), u = 0, x = -3, 0 < y, z = (y+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [0, 0], [-3, -3], [1, 1], [2, 2]]]], [[2, 10, 2, 7,
5], [v = -2^(1/2), u = 0, x = -3, 0 < y, (y+3)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-3, -3], [1, 1], [3, 3]]]], [[2, 11
, 11, 3, 1], [v = -2^(1/2), And(0 < u,u < 1), 1 < x, And(0 < y,y < u^2+x-1), z
= z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [2, 2],
[5/8, 5/8], [0, 0]]]], [[2, 16, 3, 3, 1], [v = -2^(1/2), u = 3^(1/2), And(-2 <
x,x < -1), And(x < y,y < 0), z < -(y-x)^(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, 3, 2], [v = -2^(1/2), u = 3^(1/2), And(-2 <
x,x < -1), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v = -2^
(1/2), u = 3^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), And(-(y-x)^(1/2) < z
,z < (y-x)^(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, 3, 4], [v = -2^(1/2), u = 3^(1/2), And(-2 < x,x < -1)
, And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = -2^(1/2), u = 3^(1
/2), And(-2 < x,x < -1), And(x < y,y < 0), (y-x)^(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, 9, 1], [v = -2^(1/2), u = 2, x < -3
, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [2, 2], [-4, -4], [1, 1], [-4, -4]]]], [[2, 18, 1, 9, 2], [v = -2^(1/2), u
= 2, x < -3, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [2, 2], [-4, -4], [1, 1], [-146543/65536, -2344687/1048576]]]]
, [[2, 18, 1, 9, 3], [v = -2^(1/2), u = 2, x < -3, 0 < y, And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2
], [-4, -4], [1, 1], [0, 0]]]], [[2, 18, 1, 9, 4], [v = -2^(1/2), u = 2, x < -\
3, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [2, 2], [-4, -4], [1, 1], [2344687/1048576, 146543/65536]]]], [[2, 18, 1, 9
, 5], [v = -2^(1/2), u = 2, x < -3, 0 < y, (y-x)^(1/2) < z], [regular_chain, [
[-1482911/1048576, -741455/524288], [2, 2], [-4, -4], [1, 1], [4, 4]]]], [[3,
4, 1, 1, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x < -2, y < x, z =
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-3, -3], [-4, -4], [0, 0]]]], [[3, 5, 11, 4, 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, 4, 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, 4, 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, 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(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y
< 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = 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, 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 = 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, 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 = 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, 6, 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, 6,
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, 9, 2, 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, 7, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0),
And(0 < y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [-1/2, -1/2], [1035335/1048576, 1035335/1048576],
[-3, -3]]]], [[4, 3, 5, 7, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1
< x,x < 0), And(0 < y,y < u^2+x), z = -(y-x)^(1/2)], [regular_chain, [[-1, -1]
, [-6598195/4194304, -6598195/4194304], [-1/2, -1/2], [1035335/1048576, 
1035335/1048576], [-639411/524288, -1278821/1048576]]]], [[4, 3, 5, 7, 3], [v
= -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), And(0 < y,y < u^2+x),
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [-1/2, -1/2], [1035335/1048576, 1035335/1048576],
[0, 0]]]], [[4, 3, 5, 7, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 <
x,x < 0), And(0 < y,y < u^2+x), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [
-6598195/4194304, -6598195/4194304], [-1/2, -1/2], [1035335/1048576, 1035335/
1048576], [1278821/1048576, 639411/524288]]]], [[4, 3, 5, 7, 5], [v = -1, And(
-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), And(0 < y,y < u^2+x), (y-x)^(1/
2) < z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1/
2, -1/2], [1035335/1048576, 1035335/1048576], [3, 3]]]], [[4, 5, 5, 1, 1], [v
= -1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y < x, z = z], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3235683/
4194304, -3235683/4194304], [-2, -2], [0, 0]]]], [[4, 11, 4, 5, 1], [v = -1, 
And(1 < u,u < 2^(1/2)), x = -1, And(-u^2+1 < y,y < 0), z < -(y+1)^(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(-u^2+1 < y,y < 0), z = -(y+1)^(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(-u^2+1 < y,y < 0),
And(-(y+1)^(1/2) < z,z < (y+1)^(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(-u^2+1 < y,y < 0), z = (y+1)^(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(-u^2+1 < y,y < 0), (y+1)^(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, z < -u], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152], [
773191/1048576, 96649/131072], [-3, -3]]]], [[4, 13, 3, 8, 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], [773191/1048576, 96649/131072], [-3299097/2097152,
-3299097/2097152]]]], [[4, 13, 3, 8, 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],
[773191/1048576, 96649/131072], [-1/4194304, -1/4194304]]]], [[4, 13, 3, 8, 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], [773191/1048576, 96649/131072], [412387/262144, 
1649549/1048576]]]], [[4, 13, 3, 8, 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], [773191/
1048576, 96649/131072], [3, 3]]]], [[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 = 0, z = z], [regular_chain, [[-1/2
, -1/2], [-3, -3], [35/8, 35/8], [0, 0], [0, 0]]]], [[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 < -y^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144]
, [0, 0], [4, 4], [-3, -3]]]], [[5, 3, 6, 7, 2], [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 = -y^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [0, 0], [4, 4]
, [-2, -2]]]], [[5, 3, 6, 7, 3], [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, 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, 7, 4], [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 = y^(1/2)], [regular_chain, [[-1/2, -\
1/2], [-343151/262144, -343151/262144], [0, 0], [4, 4], [2, 2]]]], [[5, 3, 6,
7, 5], [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, y^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [0, 0], [4, 4], [3, 3]]]], [[5, 12, 3, 4, 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, 4, 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, 4, 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, 7, 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 < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [3, 3], [9, 9], [111/8, 111/8], [-4, -4]]]], [[5, 13, 11, 7, 2], [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 = -(y
-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [9, 9], [111/8, 111/8], [-\
1157597/524288, -2315193/1048576]]]], [[5, 13, 11, 7, 3], [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), And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [3, 3], [9, 9], [111/8,
111/8], [0, 0]]]], [[5, 13, 11, 7, 4], [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 = (y-x)^(1/2)], [regular_chain, [
[-1/2, -1/2], [3, 3], [9, 9], [111/8, 111/8], [2315193/1048576, 1157597/524288
]]]], [[5, 13, 11, 7, 5], [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), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2],
[3, 3], [9, 9], [111/8, 111/8], [4, 4]]]], [[6, 4, 8, 1, 1], [v = 0, u = -1, x
= 1, y < 0, z = z], [regular_chain, [[0, 0], [-1, -1], [1, 1], [-1, -1], [0, 0
]]]], [[6, 6, 7, 2, 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, 5, 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 < -(y-x)^(
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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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(x
< y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2-v^2
+x+1), z = (y-x)^(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(x < y,y < u^2-v^2+x+1), (y-x
)^(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 = 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, 8, 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, 8, 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
, 8, 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, 8, 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, 1, 2, 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, 2, 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, 2, 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, 1, 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 = z],
[regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-736367/
524288, -1472733/1048576], [-3, -3], [0, 0]]]], [[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(0 < y,y <
u^2-v^2-1), 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, 2, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0),
y = x-u^2+v^2+1, z = z], [regular_chain, [[1/2, 1/2], [3, 3], [-1/2, -1/2], [-\
33/4, -33/4], [0, 0]]]], [[8, 3, 11, 6, 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, 6, 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, 6,
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, 5, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = 1, And(1 <
y,y < -u^2+3), 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(1 < y,y < -u^2+3
), 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(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], [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(1 < y,y < -u^2+3), 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(1 < y,y < -u^2+3), (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 = 0, z = z], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [1, 1], [0, 0], [0, 0]]]], [[8, 13, 9, 1, 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], [-1, -1], [0, 0]]]], [[9, 2, 4, 3, 1], [And(1 < v,v < 2^(1/2)
), u = -(v^2+2)^(1/2), x = -1, And(-2 < y,y < -1), z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1,
-1], [-3/2, -3/2], [0, 0]]]], [[9, 4, 1, 2, 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, 2, 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, 2, 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, 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 = 0, z < -(-x)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701
/1048576], [-3, -3], [0, 0], [-3, -3]]]], [[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 = 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, 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 = 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, 8, 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, 8
, 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, 9, 5,
1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), 1 < x, And(x < y,y < x+2), z <
-(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/
1048576, 410915/262144], [2, 2], [3, 3], [-2, -2]]]], [[9, 14, 9, 5, 2], [And(
1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), 1 < x, And(x < y,y < x+2), z = -(y-x)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576,
410915/262144], [2, 2], [3, 3], [-1, -1]]]], [[9, 14, 9, 5, 3], [And(1 < v,v <
2^(1/2)), u = (v^2+1)^(1/2), 1 < x, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659
/1048576, 410915/262144], [2, 2], [3, 3], [0, 0]]]], [[9, 14, 9, 5, 4], [And(1
< v,v < 2^(1/2)), u = (v^2+1)^(1/2), 1 < x, And(x < y,y < x+2), z = (y-x)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 
410915/262144], [2, 2], [3, 3], [1, 1]]]], [[9, 14, 9, 5, 5], [And(1 < v,v < 2
^(1/2)), u = (v^2+1)^(1/2), 1 < x, And(x < y,y < x+2), (y-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [2, 2], [3, 3], [2, 2]]]], [[10, 1, 7, 2, 1], [v = 2^(1/2), u < -2, 
And(0 < x,x < 1), y = x-u^2+3, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [1/2, 1/2], [-11/2, -11/2], [0, 0]]]], [[10, 3, 4,
1, 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], [-3, -3], [0, 0]]]], [[10, 9, 1, 9, 1], [v = 2^(1/2), And(
-1 < u,u < 0), x < u^2-3, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1/2, -1/2], [-4, -4], [1, 1], [-4, -4]]]], [[10, 9
, 1, 9, 2], [v = 2^(1/2), And(-1 < u,u < 0), x < u^2-3, 0 < y, z = -(y-x)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-4, -4],
[1, 1], [-146543/65536, -2344687/1048576]]]], [[10, 9, 1, 9, 3], [v = 2^(1/2),
And(-1 < u,u < 0), x < u^2-3, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-4, -4], [1,
1], [0, 0]]]], [[10, 9, 1, 9, 4], [v = 2^(1/2), And(-1 < u,u < 0), x < u^2-3,
0 < y, z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1/2, -1/2], [-4, -4], [1, 1], [2344687/1048576, 146543/65536]]]], [[10, 9, 1,
9, 5], [v = 2^(1/2), And(-1 < u,u < 0), x < u^2-3, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-4, -4], [1,
1], [4, 4]]]], [[10, 10, 7, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 1, 8, 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, 8, 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, 8, 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,
8, 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, 8, 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, 5, 1], [v = 2^(1/2
), u = 3^(1/2), 1 < x, And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [2, 2], [
3, 3], [-2, -2]]]], [[10, 16, 9, 5, 2], [v = 2^(1/2), u = 3^(1/2), 1 < x, And(
x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [908093/524288, 1816187/1048576], [2, 2], [3, 3], [-1, -1]]]], [[10,
16, 9, 5, 3], [v = 2^(1/2), u = 3^(1/2), 1 < x, And(x < y,y < x+2), And(-(y-x)
^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576
], [908093/524288, 1816187/1048576], [2, 2], [3, 3], [0, 0]]]], [[10, 16, 9, 5
, 4], [v = 2^(1/2), u = 3^(1/2), 1 < x, And(x < y,y < x+2), z = (y-x)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [2, 2], [3, 3], [1, 1]]]], [[10, 16, 9, 5, 5], [v = 2^(1/2), u = 3^(
1/2), 1 < x, And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [908093/524288, 1816187/1048576], [2, 2], [3, 3], [2
, 2]]]], [[10, 19, 5, 2, 1], [v = 2^(1/2), 2 < u, And(-1 < x,x < 0), y = x-u^2
+3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1/2,
-1/2], [-13/2, -13/2], [0, 0]]]], [[11, 1, 11, 1, 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], [-1, -1], [0, 0]]]], [[11, 5, 10, 3, 1], [2^(1/2) < v, And(-(v^2+1)^(1/
2) < u,u < -v), x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [1, 1], [1/2, 1/2], [0, 0]]]], [[11, 7, 10, 7,
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, 7, 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, 7, 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, 7, 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, 7, 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, 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 < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = u^2-v^2-1, z < 0], [regular_chain,
[[3, 3], [6111549/2097152, 6111549/2097152], [-3161161/2097152, -395145/262144
], [-3161161/2097152, -395145/262144], [-1, -1]]]], [[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 = u^2-v^2-1, z = 0], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3161161/2097152,
-395145/262144], [-3161161/2097152, -395145/262144], [0, 0]]]], [[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 = u^2-v^2-1
, 0 < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-\
3161161/2097152, -395145/262144], [-3161161/2097152, -395145/262144], [1, 1]]]
], [[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 < -(y+1)^(1/2)], [regular_chain, [[3, 3], [3396811/
1048576, 3396811/1048576], [-1, -1], [3, 3], [-3, -3]]]], [[11, 19, 4, 9, 2],
[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
= -(y+1)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576],
[-1, -1], [3, 3], [-2, -2]]]], [[11, 19, 4, 9, 3], [2^(1/2) < v, And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), x = -1, u^2-v^2 < y, And(-(y+1)^(1/2) < z,z < (y+
1)^(1/2))], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-1,
-1], [3, 3], [0, 0]]]], [[11, 19, 4, 9, 4], [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 = (y+1)^(1/2)], [regular_chain, [
[3, 3], [3396811/1048576, 3396811/1048576], [-1, -1], [3, 3], [2, 2]]]], [[11,
19, 4, 9, 5], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1,
u^2-v^2 < y, (y+1)^(1/2) < z], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [-1, -1], [3, 3], [3, 3]]]], [[11, 21, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8,
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, 4, 9, 7, 1
], [v < -2^(1/2), u = -(v^2+1)^(1/2), 1 < x, x+2 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [2, 2], [5, 5], [
-3, -3]]]], [[1, 4, 9, 7, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), 1 < x, x+2 <
y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/
65536], [2, 2], [5, 5], [-1816187/1048576, -3632373/2097152]]]], [[1, 4, 9, 7,
3], [v < -2^(1/2), u = -(v^2+1)^(1/2), 1 < x, x+2 < y, And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536],
[2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[1, 4, 9, 7, 4], [v < -2^(1/2),
u = -(v^2+1)^(1/2), 1 < x, x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3
], [-3315889/1048576, -207243/65536], [2, 2], [5, 5], [908093/524288, 1816187/
1048576]]]], [[1, 4, 9, 7, 5], [v < -2^(1/2), u = -(v^2+1)^(1/2), 1 < x, x+2 <
y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/
65536], [2, 2], [5, 5], [3, 3]]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [
[-3, -3], [-6111549/2097152, -6111549/2097152], [-3, -3], [0, 0], [-3, -3]]]],
[[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 = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [
[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 = 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, 8, 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, 8, 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, 10, 9, 8, 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, 8
, 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, 8, 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, 8, 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, 8, 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, 7, 2, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), 
And(0 < x,x < 1), y = x-1, z = z], [regular_chain, [[-3, -3], [2774271/1048576
, 10837/4096], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[1, 18, 3, 3, 1], [v < -2
^(1/2), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z < -(y-x)^(1
/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-3/2, -3/2]
, [-3/4, -3/4], [-2, -2]]]], [[1, 18, 3, 3, 2], [v < -2^(1/2), u = (v^2+1)^(1/
2), And(-2 < x,x < -1), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v < -2^(1/2), u = (
v^2+1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (
y-x)^(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, 3, 4], [v < -
2^(1/2), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v < -2
^(1/2), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), (y-x)^(1/2) <
z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-3/2, -3/2],
[-3/4, -3/4], [2, 2]]]], [[1, 20, 1, 9, 1], [v < -2^(1/2), u = (v^2+2)^(1/2),
x < -3, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576,
1738867/524288], [-4, -4], [1, 1], [-4, -4]]]], [[1, 20, 1, 9, 2], [v < -2^(1/
2), u = (v^2+2)^(1/2), x < -3, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3,
-3], [3477733/1048576, 1738867/524288], [-4, -4], [1, 1], [-146543/65536, -\
2344687/1048576]]]], [[1, 20, 1, 9, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), x <
-3, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3],
[3477733/1048576, 1738867/524288], [-4, -4], [1, 1], [0, 0]]]], [[1, 20, 1, 9,
4], [v < -2^(1/2), u = (v^2+2)^(1/2), x < -3, 0 < y, z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-4, -4], [1, 1],
[2344687/1048576, 146543/65536]]]], [[1, 20, 1, 9, 5], [v < -2^(1/2), u = (v^2
+2)^(1/2), x < -3, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [-4, -4], [1, 1], [4, 4]]]], [[2, 2, 7, 9, 1
], [v = -2^(1/2), u = -2, And(0 < x,x < 1), x+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [1/2, 1/2], [5,
5], [-4, -4]]]], [[2, 2, 7, 9, 2], [v = -2^(1/2), u = -2, And(0 < x,x < 1), x+
3 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-2, -2], [1/2, 1/2], [5, 5], [-1112183/524288, -2224365/1048576]]]], [[2, 2,
7, 9, 3], [v = -2^(1/2), u = -2, And(0 < x,x < 1), x+3 < y, And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-2,
-2], [1/2, 1/2], [5, 5], [0, 0]]]], [[2, 2, 7, 9, 4], [v = -2^(1/2), u = -2, 
And(0 < x,x < 1), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-2, -2], [1/2, 1/2], [5, 5], [2224365/1048576, 
1112183/524288]]]], [[2, 2, 7, 9, 5], [v = -2^(1/2), u = -2, And(0 < x,x < 1),
x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-2, -2], [1/2, 1/2], [5, 5], [4, 4]]]], [[2, 4, 6, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 7, 1], [v = -2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1),
And(0 < y,y < x-u^2+3), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -\
1527887/2097152], [853897/2097152, 853897/2097152], [-3, -3]]]], [[2, 7, 5, 7,
2], [v = -2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1), And(0 < y,y < x-
u^2+3), z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152],
[853897/2097152, 853897/2097152], [-1117471/1048576, -558735/524288]]]], [[2,
7, 5, 7, 3], [v = -2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1), And(0 <
y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
1527887/2097152, -1527887/2097152], [853897/2097152, 853897/2097152], [0, 0]]]
], [[2, 7, 5, 7, 4], [v = -2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1),
And(0 < y,y < x-u^2+3), z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -\
1527887/2097152], [853897/2097152, 853897/2097152], [558735/524288, 1117471/
1048576]]]], [[2, 7, 5, 7, 5], [v = -2^(1/2), And(v < u,u < -1), And(-1 < x,x
< -u^2+1), And(0 < y,y < x-u^2+3), (y-x)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
1527887/2097152, -1527887/2097152], [853897/2097152, 853897/2097152], [3, 3]]]
], [[2, 9, 5, 1, 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], [-3, -3], [0, 0]]]], [[2, 13, 4, 1, 1], [v = -2^(1/2), And
(1 < u,u < -v), x = -1, y < -1, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-1, -1], [-2, -2], [0, 0]
]]], [[2, 15, 4, 9, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -1, u^2-2
< y, z < -(y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-1, -1], [2, 2], [-3, -3]]]], [[2, 15, 4,
9, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -1, u^2-2 < y, z = -(y+1)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152,
3299097/2097152], [-1, -1], [2, 2], [-1816187/1048576, -3632373/2097152]]]], [
[2, 15, 4, 9, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -1, u^2-2 < y, 
And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [-1, -1], [2, 2], [-1/
4194304, -1/4194304]]]], [[2, 15, 4, 9, 4], [v = -2^(1/2), And(-v < u,u < 3^(1
/2)), x = -1, u^2-2 < y, z = (y+1)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [3299097/2097152, 3299097/2097152], [-1, -1], [2, 2], [908093
/524288, 1816187/1048576]]]], [[2, 15, 4, 9, 5], [v = -2^(1/2), And(-v < u,u <
3^(1/2)), x = -1, u^2-2 < y, (y+1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-1, -1], [2, 2]
, [3, 3]]]], [[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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-3, -3], [-1/2, -1/2], [8433585/1048576
, 4216793/524288], [-4, -4]]]], [[3, 1, 5, 8, 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],
[8433585/1048576, 4216793/524288], [-1532401/524288, -24518415/8388608]]]], [[
3, 1, 5, 8, 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],
[8433585/1048576, 4216793/524288], [-7/16777216, -7/16777216]]]], [[3, 1, 5, 8
, 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], [8433585/1048576, 4216793/524288], [
3064801/1048576, 1532401/524288]]]], [[3, 1, 5, 8, 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], [8433585/1048576, 4216793/524288], [4, 4]]]], [[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 = x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-3647693/2097152, -3647693/
2097152], [-3647693/2097152, -3647693/2097152], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-3647693/2097152, -\
3647693/2097152], [-3647693/2097152, -3647693/2097152], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-14373233/8388608, -14373233/8388608], [-3647693/2097152,
-3647693/2097152], [-3647693/2097152, -3647693/2097152], [1, 1]]]], [[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(0 < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [
-1498947/2097152, -1498947/2097152], [897307/2097152, 897307/2097152], [-3, -3
]]]], [[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(0 < y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [897307/2097152, 
897307/2097152], [-1120861/1048576, -280215/262144]]]], [[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(0 < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [897307/2097152, 
897307/2097152], [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(0 < y,y < x-u^2+v^2+1
), z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-1498947/2097152, -1498947/2097152], [
897307/2097152, 897307/2097152], [280215/262144, 1120861/1048576]]]], [[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(0 < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304],
[-1498947/2097152, -1498947/2097152], [897307/2097152, 897307/2097152], [3, 3]
]]], [[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 = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [-1/2, -1/2], [-2, -2], [0, 0]]]],
[[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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [3, 3], [1, 1], [10006449/1048576, 5003225/524288], [-4, -4]]]], [[
3, 17, 8, 8, 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], [10006449/1048576, 5003225/524288], [-1532401/524288
, -24518415/8388608]]]], [[3, 17, 8, 8, 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],
[10006449/1048576, 5003225/524288], [-7/16777216, -7/16777216]]]], [[3, 17, 8,
8, 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], [10006449/1048576, 5003225/524288], [3064801/1048576, 1532401/
524288]]]], [[3, 17, 8, 8, 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], [10006449/1048576, 5003225/524288], [4, 4
]]]], [[4, 2, 4, 2, 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, 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 < -(y+1)^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [-1, -1], [1/2, 1/2], [-3, -3]]]], [[4, 8, 4
, 5, 2], [v = -1, u = 0, x = -1, And(0 < y,y < 1), z = -(y+1)^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [-1, -1], [1/2, 1/2], [-1284239/1048576, -\
642119/524288]]]], [[4, 8, 4, 5, 3], [v = -1, u = 0, x = -1, And(0 < y,y < 1),
And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-1, -1], [1/
2, 1/2], [642119/524288, 1284239/1048576]]]], [[4, 8, 4, 5, 5], [v = -1, u = 0
, x = -1, And(0 < y,y < 1), (y+1)^(1/2) < z], [regular_chain, [[-1, -1], [0, 0
], [-1, -1], [1/2, 1/2], [3, 3]]]], [[4, 14, 1, 5, 1], [v = -1, u = 3^(1/2), x
< -3, And(x < y,y < x+3), z < -(y-x)^(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 < y,y < x+3), z = -(y-x)^(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 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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 < y,y
< x+3), z = (y-x)^(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 < y,y < x+3), (y-x)^(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, z < -u], [regular_chain, [[-1, -1], [3, 3], [4, 4], [13, 13],
[-4, -4]]]], [[4, 15, 9, 8, 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, 8, 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, 8, 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, 8, 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, 5, 5,
1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x
+2), z < -(y-x)^(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, 5, 2], [
And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2),
z = -(y-x)^(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, 5, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(
0 < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 5, 4], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x < 0
), And(0 < y,y < x+2), z = (y-x)^(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, 5, 5], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), 
And(-1 < x,x < 0), And(0 < y,y < x+2), (y-x)^(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, 5, 1, 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], [-1, -1], [0, 0]]
]], [[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 = u^2-v^2-1, z < 0], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152], [-624419/
1048576, -1248837/2097152], [-1, -1]]]], [[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 = u^2-v^2-1, z = 0], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-624419/
1048576, -1248837/2097152], [-624419/1048576, -1248837/2097152], [0, 0]]]], [[
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 = u^2-v^2-1, 0 < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-624419/1048576, -1248837/2097152], [-624419/1048576, -\
1248837/2097152], [1, 1]]]], [[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(x < y,y < 0), z < -(y-x
)^(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(x < y,y < 0), z
= -(y-x)^(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(x < y
,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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(0 < y,y < x-u^2
+1), z = z], [regular_chain, [[0, 0], [-3, -3], [9, 9], [1/2, 1/2], [0, 0]]]],
[[6, 3, 8, 6, 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], [3055773/1048576, 1527887/524288], [-3, -3]
]]], [[6, 3, 8, 6, 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], [3055773/1048576, 1527887/524288],
[-410915/262144, -3287319/2097152]]]], [[6, 3, 8, 6, 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], [3055773/1048576, 1527887/524288], [-1/4194304, -1/4194304]]]
], [[6, 3, 8, 6, 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], [3055773/1048576, 1527887/524288], [
1643659/1048576, 410915/262144]]]], [[6, 3, 8, 6, 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], [3055773
/1048576, 1527887/524288], [3, 3]]]], [[6, 9, 6, 3, 1], [v = 0, And(1 < u,u <
2^(1/2)), x = 0, And(-u^2+1 < y,y < 0), z = z], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [0, 0], [-239655/1048576, -239655/1048576],
[0, 0]]]], [[6, 11, 3, 8, 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, 8, 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,
8, 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, 8, 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, 8,
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, 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], [1534619/2097152, 1534619/2097152], [767309/1048576,
383655/524288], [-1, -1]]]], [[7, 3, 9, 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], [1534619/2097152
, 1534619/2097152], [767309/1048576, 383655/524288], [0, 0]]]], [[7, 3, 9, 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], [1534619/2097152, 1534619/2097152], [767309/1048576, 383655/
524288], [1, 1]]]], [[7, 5, 8, 7, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) <
u,u < -v), x = 0, u^2-v^2+1 < y, z < -y^(1/2)], [regular_chain, [[1/2, 1/2], [
-1696631/2097152, -1696631/2097152], [0, 0], [3, 3], [-3, -3]]]], [[7, 5, 8, 7
, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, u^2-v^2+1 < y,
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,
7, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, u^2-v^2+1 < y
, 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, 7, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, u^2-v^2
+1 < y, 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, 7,
5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, u^2-v^2+1 < y, y
^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152]
, [0, 0], [3, 3], [3, 3]]]], [[8, 1, 3, 5, 1], [v = 1, u < -3^(1/2), And(-u^2
< x,x < -1), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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-1, z = z], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/
2097152], [2, 2], [1, 1], [0, 0]]]], [[8, 7, 3, 4, 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, 4, 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
, 4, 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, 4, 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, 4, 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, 1, 1], [v = 1, And(0 < u,u
< 1), x = u^2-2, y < u^2-2, z = z], [regular_chain, [[1, 1], [1/2, 1/2], [-7/4
, -7/4], [-3, -3], [0, 0]]]], [[8, 14, 7, 2, 1], [v = 1, u = 3^(1/2), And(0 <
x,x < 1), y = x-1, z = z], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[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 = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1], [-9, -9], [0, 0]]]],
[[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(x-u^2+v^2+1 < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-646847/524288, -646847/524288], [-1470709/4194304, -\
1470709/4194304], [-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(x-u^2+v^2+1 < y,y
< 0), z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-5818805/4194304, -5818805/4194304], [-646847/524288, -646847/524288], [-\
1470709/4194304, -1470709/4194304], [-15766285/16777216, -3941571/4194304]]]],
[[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(x-u^2+v^2+1 < y,y < 0), And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-646847/524288, -646847/524288], [-1470709/
4194304, -1470709/4194304], [-3/8388608, -3/8388608]]]], [[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(x-u^2+v^2+1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-646847/
524288, -646847/524288], [-1470709/4194304, -1470709/4194304], [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(x-u^2+v^2+1 < y,y < 0), (y-x)
^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-646847/524288, -646847/524288], [-1470709/
4194304, -1470709/4194304], [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-u^2+v^2+1 < y
, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [2,
2], [-3, -3]]]], [[9, 7, 3, 9, 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), x-u^2+v^2+1 < y, z = -(y-x)^(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, 9, 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), x-u^2+v^2+1 < y, And(-(y-x
)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/
2097152], [2, 2], [0, 0]]]], [[9, 7, 3, 9, 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), x-u^2+v^2+1 < y, z = (y-x)
^(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, 9, 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), x-u^2+v^2+1 < y, (y
-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363
/4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [2, 2], [3,
3]]]], [[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(0 < y,y < u^2-v^2+2), z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [1, 1], [569265/2097152, 569265/
2097152], [0, 0]]]], [[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 = 0, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [0, 0
], [0, 0]]]], [[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, u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [2, 2], [6, 6], [-3, -3]]]], [[9, 15, 11, 9, 2], [And(1 < v,v < 2^(1/
2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, u^2-v^2+x+1 < y, z = -(y
-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [2, 2], [6, 6], [-2, -2]]]], [[9, 15, 11, 9, 3], [And(
1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, u^2-v^2+x
+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [2, 2], [6, 6], [0,
0]]]], [[9, 15, 11, 9, 4], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), 1 < x, u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [2, 2], [6,
6], [2, 2]]]], [[9, 15, 11, 9, 5], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), 1 < x, u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [2, 2], [6, 6], [3, 3]]]], [[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 < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1, 1], [10006449/
1048576, 5003225/524288], [-4, -4]]]], [[9, 17, 8, 8, 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], [10006449/
1048576, 5003225/524288], [-1532401/524288, -24518415/8388608]]]], [[9, 17, 8,
8, 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], [10006449/1048576, 5003225/524288],
[-7/16777216, -7/16777216]]]], [[9, 17, 8, 8, 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], [10006449/1048576, 
5003225/524288], [3064801/1048576, 1532401/524288]]]], [[9, 17, 8, 8, 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], [
10006449/1048576, 5003225/524288], [4, 4]]]], [[10, 5, 10, 4, 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, 4, 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, 4, 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, 10, 8, 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], [2666417/1048576, 
1333209/524288], [-3, -3]]]], [[10, 7, 10, 8, 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], [2666417/
1048576, 1333209/524288], [-1302471/1048576, -651235/524288]]]], [[10, 7, 10,
8, 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], [2666417/1048576, 1333209/524288
], [0, 0]]]], [[10, 7, 10, 8, 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], [2666417/1048576, 1333209/
524288], [651235/524288, 1302471/1048576]]]], [[10, 7, 10, 8, 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
], [2666417/1048576, 1333209/524288], [3, 3]]]], [[10, 11, 10, 3, 1], [v = 2^(
1/2), And(0 < u,u < 1), x = 1, And(0 < y,y < u^2), z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [1, 1], [1/8, 1/8], [0, 0]]]], [[
10, 13, 9, 2, 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, 9, 4, 1], [2^(1/2) <
v, u = -(v^2+2)^(1/2), 1 < x, y = x-1, z = z], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [2, 2], [1, 1], [0, 0]]]], [[11, 4, 7, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608
, -22960369/8388608], [-4, -4], [0, 0], [-3, -3]]]], [[11, 9, 1, 8, 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, 8, 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, 8, 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, 8, 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, 7, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+
3), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [1/2, 1/2], [2, 2], [-3, -3]]]], [[11, 10, 7, 7, 2], [2^(1/2) < v, u
= -(v^2-2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [1/2, 1/2], [2,
2], [-1284239/1048576, -642119/524288]]]], [[11, 10, 7, 7, 3], [2^(1/2) < v, u
= -(v^2-2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576]
, [1/2, 1/2], [2, 2], [0, 0]]]], [[11, 10, 7, 7, 4], [2^(1/2) < v, u = -(v^2-2
)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [1/2, 1/2], [2,
2], [642119/524288, 1284239/1048576]]]], [[11, 10, 7, 7, 5], [2^(1/2) < v, u =
-(v^2-2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [1/2, 1/2], [2,
2], [3, 3]]]], [[11, 15, 11, 5, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v)
, 1 < x, And(x < y,y < u^2-v^2+x+1), z < -(y-x)^(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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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(x < y,y < u^2-v^2+x+1), 
And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2-v^2+x+1), z = (y-x)^(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(x < y,y < u^2-v^2+x+1), (y-x)^(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, u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [2, 2], [5, 5], [-3, -\
3]]]], [[11, 17, 11, 9, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 1 < x,
u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [2, 2], [5, 5], [-1816187/1048576, -3632373/2097152]]]], [[11,
17, 11, 9, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1
< y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[11, 17,
11, 9, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y,
z = (y-x)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [2,
2], [5, 5], [908093/524288, 1816187/1048576]]]], [[11, 17, 11, 9, 5], [2^(1/2)
< v, And(v < u,u < (v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [2, 2], [5, 5], [3, 3]
]]], [[11, 21, 11, 2, 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, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 10, 4,
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], [530531/1048576, 132633/262144], [0, 0]]]], [[1, 8, 1, 5, 1], [v <
-2^(1/2), u = -(v^2-1)^(1/2), x < -2, And(x+2 < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3, -3], [-1
/2, -1/2], [-3, -3]]]], [[1, 8, 1, 5, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), x
< -2, And(x+2 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [-3, -3], [-1/2, -1/2], [-3315889/2097152
, -207243/131072]]]], [[1, 8, 1, 5, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), x <
-2, And(x+2 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3, -3], [-1/2, -1/2], [0
, 0]]]], [[1, 8, 1, 5, 4], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -2, And(x+2
< y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [-3, -3], [-1/2, -1/2], [207243/131072, 1657945/1048576]]]]
, [[1, 8, 1, 5, 5], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -2, And(x+2 < y,y <
0), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [-3, -3], [-1/2, -1/2], [3, 3]]]], [[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 = x-u^2+v^2+1, z < -(-u^2
+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [2, 2], [4727339/1048576, 1181835/262144], [-3, -3]]]], [[1, 9, 11,
8, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, y = x
-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [2, 2], [4727339/1048576, 1181835/262144], [-\
3321417/2097152, -415177/262144]]]], [[1, 9, 11, 8, 3], [v < -2^(1/2), And(-(v
^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, y = x-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], [2, 2], [4727339/1048576, 1181835/262144], [0, 0]
]]], [[1, 9, 11, 8, 4], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/
2)), 1 < x, y = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3
], [-22960369/8388608, -22960369/8388608], [2, 2], [4727339/1048576, 1181835/
262144], [415177/262144, 1660709/1048576]]]], [[1, 9, 11, 8, 5], [v < -2^(1/2)
, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, y = x-u^2+v^2+1, (-u^2+v^
2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [2, 2], [4727339/1048576, 1181835/262144], [3, 3]]]], [[1, 15, 4, 2,
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, 2, 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, 2, 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, 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 < x, z = z], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-1579769/2097152, -1579769/2097152], [-2, -2], [0, 0]]]], [[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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-9, -9]
, [8, 8], [-6, -6]]]], [[1, 21, 3, 8, 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, 8, 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, 8, 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, 8, 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, 9, 9, 1], [v = -2^(1/2), u < -2, And(1 < x,x < u^2-3), u^2+x-1 < y,
z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -\
3], [7/2, 7/2], [13, 13], [-5, -5]]]], [[2, 1, 9, 9, 2], [v = -2^(1/2), u < -2
, And(1 < x,x < u^2-3), u^2+x-1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [7/2, 7/2], [13, 13], [-3231929/
1048576, -403991/131072]]]], [[2, 1, 9, 9, 3], [v = -2^(1/2), u < -2, And(1 <
x,x < u^2-3), u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [7/2, 7/2], [13,
13], [0, 0]]]], [[2, 1, 9, 9, 4], [v = -2^(1/2), u < -2, And(1 < x,x < u^2-3),
u^2+x-1 < y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [7/2, 7/2], [13, 13], [403991/131072, 3231929/1048576]]]],
[[2, 1, 9, 9, 5], [v = -2^(1/2), u < -2, And(1 < x,x < u^2-3), u^2+x-1 < y, (y
-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3],
[7/2, 7/2], [13, 13], [5, 5]]]], [[2, 10, 3, 1, 1], [v = -2^(1/2), u = 0, And(
-3 < x,x < -1), y < x-1, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [0, 0], [-2, -2], [-4, -4], [0, 0]]]], [[2, 11, 11, 4, 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,
3, 2, 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, 2, 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, 2, 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, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8,
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,
1, 2, 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, 2, 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, 2, 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, 5, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u
< v), 1 < x, And(x < y,y < x-u^2+v^2+1), z < -(y-x)^(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(x < y,y < x-u^2
+v^2+1), z = -(y-x)^(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(x < y,y <
x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < x-u^2+v^2+1), z = (y-x)^(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(x < y,y < x-u^2+v^2+1), (y-x)^(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 < y,y < 0), z < -(y-
x)^(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,
3, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-2 < x,x < -1), And(x
< y,y < 0), z = -(y-x)^(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, 3, 3], [And(-2^(1/2) < v,v
< -1), u = (v^2-1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), And(-(y-x)^(1/
2) < z,z < (y-x)^(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, 3, 4], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2)
, And(-2 < x,x < -1), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [And
(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0)
, (y-x)^(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
, 2, 2, 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, 2, 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, 2, 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,
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 < -(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, 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^2-1 < y,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], [-\
2599117/2097152, -2599117/2097152], [-583671/524288, -1167341/1048576]]]], [[3
, 15, 2, 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^2-1 < 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], [898327/524288, 898327/524288], [-1299559/524288, -2599117/1048576],
[-2599117/2097152, -2599117/2097152], [0, 0]]]], [[3, 15, 2, 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^2-1 < y,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], [-2599117/2097152, -2599117/2097152], [1167341/1048576, 
583671/524288]]]], [[3, 15, 2, 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^2-1 < y,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], [-2599117/
2097152, -2599117/2097152], [3, 3]]]], [[3, 16, 9, 1, 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], [-1, -1],
[0, 0]]]], [[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, z < u], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [-1/2, -1/2], [1035335/524288, 2070671/1048576], [-3, -3]]]]
, [[4, 3, 5, 8, 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], [1035335/524288, 2070671/1048576], [-1649549/1048576,
-3299097/2097152]]]], [[4, 3, 5, 8, 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], [1035335/524288, 2070671
/1048576], [-1/4194304, -1/4194304]]]], [[4, 3, 5, 8, 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], [1035335/524288,
2070671/1048576], [412387/262144, 1649549/1048576]]]], [[4, 3, 5, 8, 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],
[1035335/524288, 2070671/1048576], [3, 3]]]], [[4, 5, 5, 2, 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], [-3235683/4194304, -3235683/4194304], [-1, -1]]]], [[4, 5, 5, 2, 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], [-3235683/4194304, -3235683/4194304], [0, 0]]]], [
[4, 5, 5, 2, 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], [-3235683/4194304, -3235683/4194304], [1,
1]]]], [[4, 11, 4, 4, 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], [-479311/1048576, -239655/524288], [-2, -2]]]], [[4, 11, 4
, 4, 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],
[-479311/1048576, -239655/524288], [-772605/1048576, -1545209/2097152]]]], [[4
, 11, 4, 4, 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], [-479311/1048576, -239655/524288], [-1/
4194304, -1/4194304]]]], [[4, 11, 4, 4, 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], [-479311/1048576, -239655/524288], [
193151/262144, 772605/1048576]]]], [[4, 11, 4, 4, 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], [-479311/1048576, -239655/524288]
, [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(0 < y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[-1,
-1], [3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152],
[773191/2097152, 773191/2097152], [-3, -3]]]], [[4, 13, 3, 7, 2], [v = -1, And
(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), And(0 < y,y < u^2+x), z = -(y
-x)^(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, 7, 3], [v = -1, And(2^(1/2) < u,u <
3^(1/2)), And(-u^2 < x,x < -1), And(0 < y,y < u^2+x), And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152],
[-3643533/2097152, -3643533/2097152], [773191/2097152, 773191/2097152], [0, 0]
]]], [[4, 13, 3, 7, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x
< -1), And(0 < y,y < u^2+x), z = (y-x)^(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, 7, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), And(0 <
y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [3299097/2097152, 
3299097/2097152], [-3643533/2097152, -3643533/2097152], [773191/2097152, 
773191/2097152], [3, 3]]]], [[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(0 < y,y < x), 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 < x-u^2+v^2+1, z = z], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [243021/1048576, 243021/1048576], [-2, -2], [0
, 0]]]], [[5, 12, 3, 3, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-3 < x,
x < -1), And(x-1 < y,y < x), z = z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2]
, [-2, -2], [-5/2, -5/2], [0, 0]]]], [[5, 13, 11, 6, 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, 6, 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, 6, 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, 2, 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, 3, 1], [v = 0, u = 0, 1 < x, And(0 < y,y < x), z = z], [regular_chain, [
[0, 0], [0, 0], [2, 2], [1, 1], [0, 0]]]], [[7, 1, 1, 4, 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, 4, 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, 4, 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, 7, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(x <
y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1/2
, 1/2], [2, 2], [-3, -3]]]], [[7, 2, 7, 7, 2], [And(0 < v,v < 1), u = -(v^2+2)
^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), z = -(y-x)^(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, 7, 3], [And(0 < v,v < 1), u = -(v^2+2)
^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1/2, 1/2], [2, 2], [0, 0]]
]], [[7, 2, 7, 7, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(0 < x,x < 1),
And(x < y,y < x+3), z = (y-x)^(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, 7, 5],
[And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), (
y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1/2, 1/2], [2, 2]
, [3, 3]]]], [[7, 7, 1, 3, 1], [And(0 < v,v < 1), And(-v < u,u < v), x < u^2-v
^2-1, And(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/
2], [0, 0], [-3, -3], [-21/8, -21/8], [-2, -2]]]], [[7, 7, 1, 3, 2], [And(0 <
v,v < 1), And(-v < u,u < v), x < u^2-v^2-1, And(x < y,y < u^2-v^2+x+1), z = -(
y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3, -3], [-21/8, -21/8], [-\
1284239/2097152, -642119/1048576]]]], [[7, 7, 1, 3, 3], [And(0 < v,v < 1), And
(-v < u,u < v), x < u^2-v^2-1, And(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [-3, -3], [-21/8, -\
21/8], [0, 0]]]], [[7, 7, 1, 3, 4], [And(0 < v,v < 1), And(-v < u,u < v), x <
u^2-v^2-1, And(x < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[1/2
, 1/2], [0, 0], [-3, -3], [-21/8, -21/8], [642119/1048576, 80265/131072]]]], [
[7, 7, 1, 3, 5], [And(0 < v,v < 1), And(-v < u,u < v), x < u^2-v^2-1, And(x <
y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [-3
, -3], [-21/8, -21/8], [2, 2]]]], [[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 = -u^2+v^2-1, z < 0], [regular_chain,
[[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-736367/524288, -1472733/
1048576], [-736367/524288, -1472733/1048576], [-1, -1]]]], [[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 = -u^2+v^2-1
, z = 0], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-\
736367/524288, -1472733/1048576], [-736367/524288, -1472733/1048576], [0, 0]]]
], [[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 = -u^2+v^2-1, 0 < z], [regular_chain, [[1/2, 1/2], [1696631/2097152,
1696631/2097152], [-736367/524288, -1472733/1048576], [-736367/524288, -\
1472733/1048576], [1, 1]]]], [[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], [243021/524288, 486043/1048576], [-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], [243021/524288, 486043/1048576], [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], [243021/524288
, 486043/1048576], [1, 1]]]], [[7, 13, 5, 3, 1], [And(0 < v,v < 1), (v^2+2)^(1
/2) < u, And(-1 < x,x < 0), And(x-u^2+v^2+1 < y,y < x), z = z], [regular_chain
, [[1/2, 1/2], [3, 3], [-1/2, -1/2], [-35/8, -35/8], [0, 0]]]], [[8, 3, 11, 5,
1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, And(x-u^2+2 < y,y < x), 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 = 1, z < 0], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [1, 1], [1, 1], [-1, -1]]]], [[8, 5, 10, 4, 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, 4
, 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, 3, 1], [v = 1, And(1 < u,u < 2^(1/2)), x = 1, And(0 < y,y < 1), z = z]
, [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1, 1], [1/2, 1
/2], [0, 0]]]], [[8, 13, 9, 2, 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,
4, 2, 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, 4, 1, 1, 1], [And(1 < v,
v < 2^(1/2)), u = -(v^2+1)^(1/2), x < -2, y < x, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3
], [-4, -4], [0, 0]]]], [[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, 0 < y, z < -(y-x)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-3,
-3], [1, 1], [-3, -3]]]], [[9, 13, 1, 9, 2], [And(1 < v,v < 2^(1/2)), And(v <
u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, 0 < y, z = -(y-x)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-3
, -3], [1, 1], [-2, -2]]]], [[9, 13, 1, 9, 3], [And(1 < v,v < 2^(1/2)), And(v
< u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^
(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576
, 1454701/1048576], [-3, -3], [1, 1], [0, 0]]]], [[9, 13, 1, 9, 4], [And(1 < v
,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, 0 < y, z = (y-x)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576,
1454701/1048576], [-3, -3], [1, 1], [2, 2]]]], [[9, 13, 1, 9, 5], [And(1 < v,v
< 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, 0 < y, (y-x)^(1/2) <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3, -3], [1, 1], [3, 3]]]], [[9, 14, 9, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1, 1], [v = 2^(1/2), u < -2, And(0 < x,x < 1), y < x-u^2+3, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [1/2, 1/2], [-7, -\
7], [0, 0]]]], [[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-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-3651195/
2097152, -3651195/2097152], [2, 2], [-3, -3]]]], [[10, 3, 3, 9, 2], [v = 2^(1/
2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), u^2+x-1 < y, z = -(y-x)^
(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, 9, 3], [v = 2^(1/2), And(-2 < u,u
< -3^(1/2)), And(-u^2+1 < x,x < -1), u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-
x)^(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, 9, 4], [v = 2^(1/2), And(-2 < u,u < -3^
(1/2)), And(-u^2+1 < x,x < -1), u^2+x-1 < y, z = (y-x)^(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, 9, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x <
-1), u^2+x-1 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-3913339/2097152, -3913339/2097152], [-3651195/2097152, -3651195/
2097152], [2, 2], [3, 3]]]], [[10, 9, 2, 1, 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], [-5, -5], [0, 0]]]], [[10, 10, 7, 9, 1
], [v = 2^(1/2), u = 0, And(0 < x,x < 1), x+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [1/2, 1/2], [5, 5],
[-4, -4]]]], [[10, 10, 7, 9, 2], [v = 2^(1/2), u = 0, And(0 < x,x < 1), x+3 <
y, z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0
], [1/2, 1/2], [5, 5], [-1112183/524288, -2224365/1048576]]]], [[10, 10, 7, 9,
3], [v = 2^(1/2), u = 0, And(0 < x,x < 1), x+3 < y, And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [1/2,
1/2], [5, 5], [0, 0]]]], [[10, 10, 7, 9, 4], [v = 2^(1/2), u = 0, And(0 < x,x
< 1), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [0, 0], [1/2, 1/2], [5, 5], [2224365/1048576, 1112183/524288]]]], [[
10, 10, 7, 9, 5], [v = 2^(1/2), u = 0, And(0 < x,x < 1), x+3 < y, (y-x)^(1/2)
< z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [1/2, 1/2], [
5, 5], [4, 4]]]], [[10, 15, 1, 7, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x
< -u^2+1, And(u^2+x-1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-3, -3], [-\
799673/1048576, -799673/1048576], [-3, -3]]]], [[10, 15, 1, 7, 2], [v = 2^(1/2
), And(v < u,u < 3^(1/2)), x < -u^2+1, And(u^2+x-1 < y,y < 0), z = -(y-x)^(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, 7, 3], [v = 2^(1/2), And(v < u,u < 3
^(1/2)), x < -u^2+1, And(u^2+x-1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1
/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-3, -3], [-799673/1048576, -799673/1048576], [0, 0]]]], [[
10, 15, 1, 7, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x < -u^2+1, And(u^2+x-\
1 < y,y < 0), z = (y-x)^(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, 7, 5], [v =
2^(1/2), And(v < u,u < 3^(1/2)), x < -u^2+1, And(u^2+x-1 < y,y < 0), (y-x)^(1/
2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152,
3299097/2097152], [-3, -3], [-799673/1048576, -799673/1048576], [3, 3]]]], [[
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 <
x-u^2+3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-\
1/2, -1/2], [-8, -8], [0, 0]]]], [[11, 1, 10, 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 < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-5, -5], [15, 15], [33, 33], [-6, -6]]]], [[11, 1, 10
, 7, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = u^2-v^2-1, 2*u^2-2*v^2 < y, z =
-(y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [15, 15], [33, 33],
[-1112183/262144, -4448731/1048576]]]], [[11, 1, 10, 7, 3], [2^(1/2) < v, u <
-(v^2+2)^(1/2), x = u^2-v^2-1, 2*u^2-2*v^2 < y, And(-(y-u^2+v^2+1)^(1/2) < z,z
< (y-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [-5, -5], [15, 15], [33, 33]
, [0, 0]]]], [[11, 1, 10, 7, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = u^2-v^2
-1, 2*u^2-2*v^2 < y, z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-5, -\
5], [15, 15], [33, 33], [4448731/1048576, 1112183/262144]]]], [[11, 1, 10, 7,
5], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = u^2-v^2-1, 2*u^2-2*v^2 < y, (y-u^2+v
^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-5, -5], [15, 15], [33, 33], [6, 6
]]]], [[11, 5, 10, 4, 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, 4, 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, 4, 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, 10, 8, 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], [657289/262144, 2629157/1048576], [-3, -3]]]], [[11, 7, 10,
8, 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], [657289/262144, 2629157/1048576], [-1287385/1048576, -160923
/131072]]]], [[11, 7, 10, 8, 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], [657289/
262144, 2629157/1048576], [0, 0]]]], [[11, 7, 10, 8, 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], [657289/
262144, 2629157/1048576], [160923/131072, 1287385/1048576]]]], [[11, 7, 10, 8,
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], [657289/262144, 2629157/1048576], [3, 3]]]], [[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 = x, z < 0], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [-919691/524288, -919691/524288], [-919691/524288, -919691/524288], [
-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [-919691/524288, -919691/524288], [-919691/
524288, -919691/524288], [0, 0]]]], [[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 = x, 0 < z], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-919691/524288, -\
919691/524288], [-919691/524288, -919691/524288], [1, 1]]]], [[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 < u^2-v^2-1, z
= z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3161161/
2097152, -395145/262144], [-3, -3], [0, 0]]]], [[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 < x-u^2+v^2+
1, z = z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-1/2,
-1/2], [-2, -2], [0, 0]]]], [[11, 21, 1, 9, 1], [2^(1/2) < v, (v^2+2)^(1/2) <
u, x < -u^2+v^2-1, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [5, 5],
[-18, -18], [1, 1], [-6, -6]]]], [[11, 21, 1, 9, 2], [2^(1/2) < v, (v^2+2)^(1/
2) < u, x < -u^2+v^2-1, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [5,
5], [-18, -18], [1, 1], [-4570637/1048576, -1142659/262144]]]], [[11, 21, 1, 9
, 3], [2^(1/2) < v, (v^2+2)^(1/2) < u, x < -u^2+v^2-1, 0 < y, And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [5, 5], [-18, -18], [1, 1], [0
, 0]]]], [[11, 21, 1, 9, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, x < -u^2+v^2-1,
0 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-18, -18], [1, 1],
[1142659/262144, 4570637/1048576]]]], [[11, 21, 1, 9, 5], [2^(1/2) < v, (v^2+2
)^(1/2) < u, x < -u^2+v^2-1, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3],
[5, 5], [-18, -18], [1, 1], [6, 6]]]], [[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 < x, z = z], [regular_chain, [[-3,
-3], [-403851/131072, -403851/131072], [-3, -3], [-4, -4], [0, 0]]]], [[1, 7,
1, 9, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, 0 < y,
z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-3, -3], [1, 1], [-3, -3]]]], [[1, 7, 1, 9, 2], [v < -2^(1/2), And(
v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3, -3], [1,
1], [-2, -2]]]], [[1, 7, 1, 9, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)
), x < u^2-v^2-1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3, -3], [1,
1], [0, 0]]]], [[1, 7, 1, 9, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)),
x < u^2-v^2-1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-3, -3], [1, 1], [2, 2]]]], [[1, 7, 1, 9, 5], [v
< -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, 0 < y, (y-x)^(1/2) <
z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3, -3],
[1, 1], [3, 3]]]], [[1, 10, 9, 7, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), 1 < x
, And(x < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [2, 2], [7/2, 7/2], [-3, -3]]]], [[1, 10, 9, 7, 2]
, [v < -2^(1/2), u = -(v^2-2)^(1/2), 1 < x, And(x < y,y < x+3), z = -(y-x)^(1/
2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [2, 2],
[7/2, 7/2], [-1284239/1048576, -642119/524288]]]], [[1, 10, 9, 7, 3], [v < -2^
(1/2), u = -(v^2-2)^(1/2), 1 < x, And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576]
, [2, 2], [7/2, 7/2], [0, 0]]]], [[1, 10, 9, 7, 4], [v < -2^(1/2), u = -(v^2-2
)^(1/2), 1 < x, And(x < y,y < x+3), z = (y-x)^(1/2)], [regular_chain, [[-3, -3
], [-5548543/2097152, -2774271/1048576], [2, 2], [7/2, 7/2], [642119/524288, 
1284239/1048576]]]], [[1, 10, 9, 7, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), 1 <
x, And(x < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [2, 2], [7/2, 7/2], [3, 3]]]], [[1, 12, 7, 1, 1],
[v < -2^(1/2), u = (v^2-2)^(1/2), And(0 < x,x < 1), y < x-1, z = z], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [1/2, 1/2], [-2, -2],
[0, 0]]]], [[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 < -4, z = z], [regular_chain, [[-3, -3], [3477733/1048576, 
1738867/524288], [-3, -3], [-5, -5], [0, 0]]]], [[2, 2, 7, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 6, 3, 1], [v = -2^(1/2), u = -3^(
1/2), x = 0, And(0 < y,y < 2), 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(0 < y
,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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-u
^2+3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152],
[853897/1048576, 426949/524288], [-3, -3]]]], [[2, 7, 5, 8, 2], [v = -2^(1/2),
And(v < u,u < -1), And(-1 < x,x < -u^2+1), y = x-u^2+3, z = -(-u^2+3)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1527887/2097152, -1527887/2097152], [853897/1048576, 
426949/524288], [-1302471/1048576, -651235/524288]]]], [[2, 7, 5, 8, 3], [v =
-2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1), y = x-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], [-1527887/2097152, -1527887/
2097152], [853897/1048576, 426949/524288], [0, 0]]]], [[2, 7, 5, 8, 4], [v = -
2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1), y = x-u^2+3, z = (-u^2+3)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576
, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [853897/1048576, 
426949/524288], [651235/524288, 1302471/1048576]]]], [[2, 7, 5, 8, 5], [v = -2
^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1), y = x-u^2+3, (-u^2+3)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576,
-1265743/1048576], [-1527887/2097152, -1527887/2097152], [853897/1048576, 
426949/524288], [3, 3]]]], [[2, 9, 5, 2, 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, 9, 1], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1), x-u^2+3 < y
, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-2666417/2097152, -2666417/2097152], [2, 2
], [-3, -3]]]], [[2, 13, 3, 9, 2], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3
< x,x < -1), x-u^2+3 < y, z = -(y-x)^(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, 9, 3], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1), x-u^2
+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-2666417/
2097152, -2666417/2097152], [2, 2], [0, 0]]]], [[2, 13, 3, 9, 4], [v = -2^(1/2
), And(1 < u,u < -v), And(u^2-3 < x,x < -1), x-u^2+3 < y, z = (y-x)^(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, 9, 5], [v = -2^(1/2), And(1 < u,u < -v), And(
u^2-3 < x,x < -1), x-u^2+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-2666417/
2097152, -2666417/2097152], [2, 2], [3, 3]]]], [[2, 15, 4, 8, 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], [497805/1048576, 248903/524288], [-3, -3]]]], [[2, 15, 4,
8, 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], [497805/1048576, 248903/524288], [-1273381/
1048576, -318345/262144]]]], [[2, 15, 4, 8, 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], [497805/1048576, 248903/524288], [0, 0]]]], [[2, 15, 4, 8,
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], [497805/1048576, 248903/524288], [318345/262144, 
1273381/1048576]]]], [[2, 15, 4, 8, 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], [497805/1048576,
248903/524288], [3, 3]]]], [[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 < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1/2, -1/2],
[10, 10], [-5, -5]]]], [[3, 1, 5, 9, 2], [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 = -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1/2, -1/2],
[10, 10], [-3397775/1048576, -1698887/524288]]]], [[3, 1, 5, 9, 3], [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, And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [-1/2, -1/2], [10, 10], [0, 0]]]], [[3, 1, 5, 9, 4
], [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 = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-3, -3], [-1/2, -1/2], [10, 10], [1698887/524288, 3397775/1048576]]]], [[3
, 1, 5, 9, 5], [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, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [-1/2, -1/2], [10, 10], [5, 5]]]], [[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(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608],
[-3647693/2097152, -3647693/2097152], [-3647693/4194304, -3647693/4194304], [-\
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(x < y,y < 0), z = -(y-x)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [-3647693/2097152, -3647693/2097152], [-3647693/
4194304, -3647693/4194304], [-1955731/2097152, -7822923/8388608]]]], [[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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [-3647693/2097152, -3647693/2097152], [-3647693/
4194304, -3647693/4194304], [-3/16777216, -3/16777216]]]], [[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(x < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-\
3647693/2097152, -3647693/2097152], [-3647693/4194304, -3647693/4194304], [
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(
x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-3647693/2097152, -3647693/
2097152], [-3647693/4194304, -3647693/4194304], [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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 < -(y+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [-1, -1], [3, 3], [-3, -3]]]], [[3, 9, 4,
9, 2], [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 = -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [-1, -1], [3, 3], [-2, -2]]]], [[3, 9, 4, 9, 3], [
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, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [3, 3], [0, 0]]]], [[3,
9, 4, 9, 4], [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 = (y+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [-1, -1], [3, 3], [2, 2]]]], [[3, 9, 4, 9,
5], [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, (y+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [-1, -1], [3, 3], [3, 3]]]], [[3, 17, 8, 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+2), z <
-(y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3],
[1, 1], [11055025/2097152, 11055025/2097152], [-4, -4]]]], [[3, 17, 8, 7, 2],
[And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 1, And(1 < y,y < u^2-v^2+2),
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, 7, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x
= 1, And(1 < y,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], [
11055025/2097152, 11055025/2097152], [0, 0]]]], [[3, 17, 8, 7, 4], [And(-2^(1/
2) < v,v < -1), (v^2+2)^(1/2) < u, x = 1, And(1 < y,y < u^2-v^2+2), 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, 7, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 1, And(1 <
y,y < u^2-v^2+2), (y-1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [1, 1], [11055025/2097152, 11055025/2097152], [4, 4]
]]], [[4, 2, 4, 1, 1], [v = -1, u = -3^(1/2), x = -1, y < -2, z = z], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-1, -1], [-3,
-3], [0, 0]]]], [[4, 6, 3, 5, 1], [v = -1, u = -1, And(-1 < x,x < 0), And(0 <
y,y < x+1), z < -(y-x)^(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+1), z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1, -1]
, [-1/2, -1/2], [1/4, 1/4], [-1816187/2097152, -3632373/4194304]]]], [[4, 6, 3
, 5, 3], [v = -1, u = -1, And(-1 < x,x < 0), And(0 < y,y < x+1), And(-(y-x)^(1
/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-1, -1], [-1/2, -1/2],
[1/4, 1/4], [-1/8388608, -1/8388608]]]], [[4, 6, 3, 5, 4], [v = -1, u = -1, 
And(-1 < x,x < 0), And(0 < y,y < x+1), z = (y-x)^(1/2)], [regular_chain, [[-1,
-1], [-1, -1], [-1/2, -1/2], [1/4, 1/4], [908093/1048576, 454047/524288]]]], [
[4, 6, 3, 5, 5], [v = -1, u = -1, And(-1 < x,x < 0), And(0 < y,y < x+1), (y-x)
^(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 < -2^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [-1, -1], [1, 1], [-3, -3]]]], [[4, 8, 4, 6,
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, 6,
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, 6, 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, 6, 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, 1, 4, 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, 4, 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, 4, 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, 7, 1], [v = -1, 3^(1/2) < u, And(1
< x,x < u^2-2), And(x < y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[-1,
-1], [3, 3], [4, 4], [17/2, 17/2], [-4, -4]]]], [[4, 15, 9, 7, 2], [v = -1, 3^
(1/2) < u, And(1 < x,x < u^2-2), And(x < y,y < u^2+x), z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [3, 3], [4, 4], [17/2, 17/2], [-1112183/524288, -\
2224365/1048576]]]], [[4, 15, 9, 7, 3], [v = -1, 3^(1/2) < u, And(1 < x,x < u^
2-2), And(x < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1, -1], [3, 3], [4, 4], [17/2, 17/2], [0, 0]]]], [[4, 15, 9,
7, 4], [v = -1, 3^(1/2) < u, And(1 < x,x < u^2-2), And(x < y,y < u^2+x), z = (
y-x)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [4, 4], [17/2, 17/2], [2224365
/1048576, 1112183/524288]]]], [[4, 15, 9, 7, 5], [v = -1, 3^(1/2) < u, And(1 <
x,x < u^2-2), And(x < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[-1, -1
], [3, 3], [4, 4], [17/2, 17/2], [4, 4]]]], [[5, 4, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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,
5, 2, 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, 6, 1, 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 = z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-624419/1048576, -1248837/2097152], [-2, -2], [0, 0]]]], [[
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 = 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, 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 = 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, 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 = 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, 11, 4, 1], [v = 0, u < -2^(1/2), u^2-1 <
x, y = x-u^2+1, z = z], [regular_chain, [[0, 0], [-3, -3], [9, 9], [1, 1], [0,
0]]]], [[6, 3, 8, 7, 1], [v = 0, And(-2^(1/2) < u,u < -1), x = u^2-1, 2*u^2 <
y, z < -(y-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743
/1048576], [239655/524288, 479311/1048576], [4, 4], [-3, -3]]]], [[6, 3, 8, 7,
2], [v = 0, And(-2^(1/2) < u,u < -1), x = u^2-1, 2*u^2 < y, z = -(y-u^2+1)^(1/
2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [239655/
524288, 479311/1048576], [4, 4], [-7894761/4194304, -15789521/8388608]]]], [[6
, 3, 8, 7, 3], [v = 0, And(-2^(1/2) < u,u < -1), x = u^2-1, 2*u^2 < y, And(-(y
-u^2+1)^(1/2) < z,z < (y-u^2+1)^(1/2))], [regular_chain, [[0, 0], [-1265743/
1048576, -1265743/1048576], [239655/524288, 479311/1048576], [4, 4], [-1/
16777216, -1/16777216]]]], [[6, 3, 8, 7, 4], [v = 0, And(-2^(1/2) < u,u < -1),
x = u^2-1, 2*u^2 < y, z = (y-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1265743
/1048576, -1265743/1048576], [239655/524288, 479311/1048576], [4, 4], [986845/
524288, 1973691/1048576]]]], [[6, 3, 8, 7, 5], [v = 0, And(-2^(1/2) < u,u < -1
), x = u^2-1, 2*u^2 < y, (y-u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [239655/524288, 479311/1048576], [4, 4], [
3, 3]]]], [[6, 9, 6, 2, 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], [
-479311/1048576, -239655/524288], [0, 0]]]], [[6, 11, 3, 7, 1], [v = 0, 2^(1/2
) < u, And(-u^2-1 < x,x < -1), And(0 < y,y < u^2+x+1), z < -(y-x)^(1/2)], [
regular_chain, [[0, 0], [3, 3], [-11/2, -11/2], [9/4, 9/4], [-4, -4]]]], [[6,
11, 3, 7, 2], [v = 0, 2^(1/2) < u, And(-u^2-1 < x,x < -1), And(0 < y,y < u^2+x
+1), z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-11/2, -11/2], [9/4,
9/4], [-11676449/4194304, -364889/131072]]]], [[6, 11, 3, 7, 3], [v = 0, 2^(1/
2) < u, And(-u^2-1 < x,x < -1), And(0 < y,y < u^2+x+1), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[0, 0], [3, 3], [-11/2, -11/2], [9/4, 9/4],
[0, 0]]]], [[6, 11, 3, 7, 4], [v = 0, 2^(1/2) < u, And(-u^2-1 < x,x < -1), And
(0 < y,y < u^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-11/2
, -11/2], [9/4, 9/4], [364889/131072, 2919113/1048576]]]], [[6, 11, 3, 7, 5],
[v = 0, 2^(1/2) < u, And(-u^2-1 < x,x < -1), And(0 < y,y < u^2+x+1), (y-x)^(1/
2) < z], [regular_chain, [[0, 0], [3, 3], [-11/2, -11/2], [9/4, 9/4], [4, 4]]]
], [[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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)],
[regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [1534619/
2097152, 1534619/2097152], [4117813/2097152, 4117813/2097152], [-3, -3]]]], [[
7, 3, 9, 7, 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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [1534619/2097152
, 1534619/2097152], [4117813/2097152, 4117813/2097152], [-1163761/1048576, -\
72735/65536]]]], [[7, 3, 9, 7, 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(x < y,y < u^2-v^2+x+1), And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [1534619/2097152, 1534619/2097152], [4117813/2097152,
4117813/2097152], [0, 0]]]], [[7, 3, 9, 7, 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(x < y,y < u^2-v^
2+x+1), z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -\
343151/262144], [1534619/2097152, 1534619/2097152], [4117813/2097152, 4117813/
2097152], [72735/65536, 1163761/1048576]]]], [[7, 3, 9, 7, 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(
x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [1534619/2097152, 1534619/2097152], [4117813/
2097152, 4117813/2097152], [3, 3]]]], [[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 < 0, z = z], [regular_chain,
[[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2], [-1, -1], [0, 0
]]]], [[8, 1, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1
], [v = 1, u = -3^(1/2), 1 < x, And(x-1 < y,y < 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(x < y,y
< u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -\
11/8], [-5/4, -5/4], [-2, -2]]]], [[8, 7, 3, 3, 2], [v = 1, And(-1 < u,u < 0),
And(u^2-2 < x,x < -1), And(x < y,y < u^2+x), z = -(y-x)^(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, 3, 3], [v = 1, And(-1 < u,u < 0), And(u^2-2 < x,x < -\
1), And(x < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [-5/4, -5/4], [0, 0]]]],
[[8, 7, 3, 3, 4], [v = 1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), And(x < y,
y < u^2+x), z = (y-x)^(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, 3, 5], [v =
1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), And(x < y,y < u^2+x), (y-x)^(1/2)
< z], [regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [-5/4, -5/4], [2,
2]]]], [[8, 9, 1, 9, 1], [v = 1, And(0 < u,u < 1), x < u^2-2, 0 < y, z < -(y-x
)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [1, 1], [-3, -3]]]],
[[8, 9, 1, 9, 2], [v = 1, And(0 < u,u < 1), x < u^2-2, 0 < y, z = -(y-x)^(1/2)
], [regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [1, 1], [-2, -2]]]], [[8, 9,
1, 9, 3], [v = 1, And(0 < u,u < 1), x < u^2-2, 0 < y, And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [1, 1], [0, 0]]]
], [[8, 9, 1, 9, 4], [v = 1, And(0 < u,u < 1), x < u^2-2, 0 < y, z = (y-x)^(1/
2)], [regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [1, 1], [2, 2]]]], [[8, 9,
1, 9, 5], [v = 1, And(0 < u,u < 1), x < u^2-2, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [1, 1], [3, 3]]]], [[8, 14, 7, 3
, 1], [v = 1, u = 3^(1/2), And(0 < x,x < 1), And(x-1 < 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, 2, 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], [-15818595/2097152, -7909297/1048576], [0, 0]]]]
, [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-646847/524288, -646847/524288], [-735355/1048576, -1470709
/2097152], [-2, -2]]]], [[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 = x-u^2+v^2+1, z = -(-u^2+v
^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-646847/524288, -646847/524288], [-735355/1048576
, -1470709/2097152], [-1530309/2097152, -382577/524288]]]], [[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 = x-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], [-646847/524288, -646847/524288], [-735355/1048576, -1470709
/2097152], [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 = x-u^2+v^2+1, z = (-u^2+v^2+
1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-646847/524288, -646847/524288], [-735355/1048576
, -1470709/2097152], [382577/524288, 765155/1048576]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-646847/
524288, -646847/524288], [-735355/1048576, -1470709/2097152], [2, 2]]]], [[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-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
2695357/2097152, -2695357/2097152], [149551/524288, 299103/1048576], [-3, -3]]
]], [[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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2695357/2097152, -2695357/2097152], [149551/524288, 299103
/1048576], [-1314069/1048576, -328517/262144]]]], [[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-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], [-2695357/2097152, -2695357/2097152], [149551/524288, 299103
/1048576], [0, 0]]]], [[9, 7, 3, 8, 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 = x-u^2+v^2+1, z = (-u^2+v^2+1
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [149551/
524288, 299103/1048576], [328517/262144, 1314069/1048576]]]], [[9, 7, 3, 8, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2695357/
2097152, -2695357/2097152], [149551/524288, 299103/1048576], [3, 3]]]], [[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 = u^2-v^2+2, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [1, 1], [569265/1048576, 284633/524288], [0, 0]]]], [[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(0 < y,y < x), z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [1/4, 1/4], [0, 0]]]],
[[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 = 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], [
4696269/1048576, 2348135/524288], [-3, -3]]]], [[9, 15, 11, 8, 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], [4696269/1048576, 2348135/524288], [
-3301741/2097152, -825435/524288]]]], [[9, 15, 11, 8, 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], [4696269/1048576,
2348135/524288], [0, 0]]]], [[9, 15, 11, 8, 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], [4696269/1048576, 2348135/524288], [825435/524288, 
1650871/1048576]]]], [[9, 15, 11, 8, 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], [4696269/1048576, 2348135/524288], [3, 3]]]], [[9, 17, 8, 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+2
), z < -(y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3,
3], [1, 1], [11055025/2097152, 11055025/2097152], [-4, -4]]]], [[9, 17, 8, 7,
2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 1, And(1 < y,y < u^2-v^2+2
), 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, 7, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x =
1, And(1 < y,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], [11055025/
2097152, 11055025/2097152], [0, 0]]]], [[9, 17, 8, 7, 4], [And(1 < v,v < 2^(1/
2)), (v^2+2)^(1/2) < u, x = 1, And(1 < y,y < u^2-v^2+2), 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,
7, 5], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 1, And(1 < y,y < u^2-v^
2+2), (y-1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
3, 3], [1, 1], [11055025/2097152, 11055025/2097152], [4, 4]]]], [[10, 5, 10, 5
, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 1, And(1 < y,y < -u^2+4), z
< -(y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [1, 1], [2647921/2097152, 2647921/2097152], [-2, -\
2]]]], [[10, 5, 10, 5, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 1, And(
1 < y,y < -u^2+4), z = -(y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [-6598195/4194304, -6598195/4194304], [1, 1], [2647921/2097152, 
2647921/2097152], [-1074731/2097152, -537365/1048576]]]], [[10, 5, 10, 5, 3],
[v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 1, And(1 < 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], [2647921/2097152, 
2647921/2097152], [0, 0]]]], [[10, 5, 10, 5, 4], [v = 2^(1/2), And(-3^(1/2) <
u,u < -v), x = 1, And(1 < y,y < -u^2+4), z = (y-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [1, 1],
[2647921/2097152, 2647921/2097152], [537365/1048576, 268683/524288]]]], [[10,
5, 10, 5, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 1, And(1 < y,y < -u^
2+4), (y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [1, 1], [2647921/2097152, 2647921/2097152]
, [2, 2]]]], [[10, 7, 10, 9, 1], [v = 2^(1/2), And(-v < u,u < -1), x = 1, -u^2
+4 < y, z < -(y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1265743/1048576, -1265743/1048576], [1, 1], [4, 4], [-3, -3]]]], [[10, 7, 10
, 9, 2], [v = 2^(1/2), And(-v < u,u < -1), x = 1, -u^2+4 < y, 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, 9, 3], [v = 2^(1/2), And(-v < u,u < -1), x = 1, -u^2+4 < y, 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, 9, 4], [v = 2^(1/2), And(-v < u,u < -1), x = 1, -u
^2+4 < y, 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, 9, 5], [v = 2^(1/2), And(-v < u,u < -1), x = 1, -u^2
+4 < y, (y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
-1265743/1048576, -1265743/1048576], [1, 1], [4, 4], [3, 3]]]], [[10, 11, 10,
2, 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, 9, 1, 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], [-1, -1], [0, 0]]]], [[11, 2, 9, 3, 1], [2^(1/2) < v, u
= -(v^2+2)^(1/2), 1 < x, And(0 < y,y < x-1), z = z], [regular_chain, [[3, 3],
[-1738867/524288, -3477733/1048576], [2, 2], [1/2, 1/2], [0, 0]]]], [[11, 4, 7
, 5, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2
), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/
65536], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[11, 4, 7, 5, 2], [2^(1/2) < v,
u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [1/2, 1/2], [3/2, 3
/2], [-1, -1]]]], [[11, 4, 7, 5, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(0 <
x,x < 1), And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [1/2, 1/2], [3/2, 3
/2], [0, 0]]]], [[11, 4, 7, 5, 4], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(0 < x
,x < 1), And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-\
3315889/1048576, -207243/65536], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[11, 4, 7
, 5, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2
), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536
], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[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, 0 < y, z < -(y-x)^(1/2)],
[regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-4, -4], [1,
1], [-4, -4]]]], [[11, 9, 1, 9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[3,
3], [-22960369/8388608, -22960369/8388608], [-4, -4], [1, 1], [-146543/65536,
-2344687/1048576]]]], [[11, 9, 1, 9, 3], [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, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-4, -4]
, [1, 1], [0, 0]]]], [[11, 9, 1, 9, 4], [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 = (y-x)^(1/2)], [regular_chain, [[3
, 3], [-22960369/8388608, -22960369/8388608], [-4, -4], [1, 1], [2344687/
1048576, 146543/65536]]]], [[11, 9, 1, 9, 5], [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, (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-4, -4], [1,
1], [4, 4]]]], [[11, 10, 7, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 
15, 11, 4, 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, 4, 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, 4, 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, 17, 11, 8,
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], [3663111/1048576, 457889/131072], [-3, -3]]]], [[11, 17, 11, 8, 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], [
3663111/1048576, 457889/131072], [-1281417/1048576, -160177/131072]]]], [[11,
17, 11, 8, 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], [3663111/1048576, 457889/131072],
[0, 0]]]], [[11, 17, 11, 8, 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], [3663111/1048576, 457889/131072], [160177/
131072, 1281417/1048576]]]], [[11, 17, 11, 8, 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], [3663111/1048576, 457889/
131072], [3, 3]]]], [[11, 21, 11, 3, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, u^2-
v^2-1 < x, And(0 < y,y < x-u^2+v^2+1), z = z], [regular_chain, [[3, 3], [5, 5]
, [16, 16], [1/2, 1/2], [0, 0]]]], [[1, 2, 1, 9, 1], [v < -2^(1/2), u = -(v^2+
2)^(1/2), x < -3, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [-4, -4], [1, 1], [-4, -4]]]], [[1, 2, 1, 9
, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), x < -3, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-4, -4], [1, 1
], [-146543/65536, -2344687/1048576]]]], [[1, 2, 1, 9, 3], [v < -2^(1/2), u =
-(v^2+2)^(1/2), x < -3, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-4, -4], [1, 1
], [0, 0]]]], [[1, 2, 1, 9, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2), x < -3, 0 <
y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [-4, -4], [1, 1], [2344687/1048576, 146543/65536]]]], [[1, 2, 1, 9,
5], [v < -2^(1/2), u = -(v^2+2)^(1/2), x < -3, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-4, -4], [1, 1
], [4, 4]]]], [[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 < 0, z = z], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [1, 1], [-1, -1], [0, 0]]]], [[1, 8, 2, 1, 1], [v
< -2^(1/2), u = -(v^2-1)^(1/2), x = -2, y < -2, z = z], [regular_chain, [[-3,
-3], [-2965821/1048576, -11863283/4194304], [-2, -2], [-3, -3], [0, 0]]]], [[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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [
-22960369/8388608, -22960369/8388608], [2, 2], [6824491/2097152, 6824491/
2097152], [-3, -3]]]], [[1, 9, 11, 7, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) <
u,u < -(v^2-2)^(1/2)), 1 < x, And(x < y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [2, 2], [
6824491/2097152, 6824491/2097152], [-587149/524288, -1174297/1048576]]]], [[1,
9, 11, 7, 3], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x
, And(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [2, 2], [
6824491/2097152, 6824491/2097152], [0, 0]]]], [[1, 9, 11, 7, 4], [v < -2^(1/2)
, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, And(x < y,y < x-u^2+v^2+1
), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [2, 2], [6824491/2097152, 6824491/2097152], [1174297/1048576, 587149
/524288]]]], [[1, 9, 11, 7, 5], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^
2-2)^(1/2)), 1 < x, And(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [2, 2], [
6824491/2097152, 6824491/2097152], [3, 3]]]], [[1, 15, 4, 3, 1], [v < -2^(1/2)
, And((v^2-1)^(1/2) < u,u < -v), x = -1, And(-1 < y,y < u^2-v^2), z < -(y+1)^(
1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-1, -1]
, [-3161161/4194304, -3161161/4194304], [-2, -2]]]], [[1, 15, 4, 3, 2], [v < -
2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1, And(-1 < y,y < u^2-v^2), z = -
(y+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [
-1, -1], [-3161161/4194304, -3161161/4194304], [-16263/32768, -520415/1048576]
]]], [[1, 15, 4, 3, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1,
And(-1 < y,y < u^2-v^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-1, -1], [-\
3161161/4194304, -3161161/4194304], [0, 0]]]], [[1, 15, 4, 3, 4], [v < -2^(1/2
), And((v^2-1)^(1/2) < u,u < -v), x = -1, And(-1 < y,y < u^2-v^2), z = (y+1)^(
1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-1, -1]
, [-3161161/4194304, -3161161/4194304], [520415/1048576, 16263/32768]]]], [[1,
15, 4, 3, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1, And(-1 < y
,y < u^2-v^2), (y+1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152,
6111549/2097152], [-1, -1], [-3161161/4194304, -3161161/4194304], [2, 2]]]], [
[1, 17, 4, 7, 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 < -(y+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072
, 403851/131072], [-1, -1], [517383/2097152, 517383/2097152], [-3, -3]]]], [[1
, 17, 4, 7, 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 = -(y+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072,
403851/131072], [-1, -1], [517383/2097152, 517383/2097152], [-1170799/1048576,
-585399/524288]]]], [[1, 17, 4, 7, 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(-(y+1)^(1/2) < z,z < (y+1)^(1/2))],
[regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1, -1], [517383/
2097152, 517383/2097152], [0, 0]]]], [[1, 17, 4, 7, 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 = (y+1)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1, -1], [517383/
2097152, 517383/2097152], [585399/524288, 1170799/1048576]]]], [[1, 17, 4, 7,
5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(0 < y,y < u^2-v^
2), (y+1)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072
], [-1, -1], [517383/2097152, 517383/2097152], [3, 3]]]], [[1, 21, 4, 2, 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, 9, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 2, 1], [v
= -2^(1/2), u = 0, And(-3 < x,x < -1), y = x-1, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-2, -2], [-3, -3], [0, 0]]]], [[2,
11, 11, 1, 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], [-1, -\
1], [0, 0]]]], [[2, 16, 3, 5, 1], [v = -2^(1/2), u = 3^(1/2), And(-2 < x,x < -\
1), And(0 < y,y < x+2), z < -(y-x)^(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, 5, 2], [v = -2^(1/2), u = 3^(1/2), And(-2 < x,x < -1),
And(0 < y,y < x+2), z = -(y-x)^(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, 5, 3], [v = -2^(1/2), u = 3^(1/2
), And(-2 < x,x < -1), And(0 < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 5, 4], [v =
-2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2), z = (y-x)^(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, 5, 5], [v = -2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), And(0 < y,y
< x+2), (y-x)^(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, 7, 1], [v = -2^(1/2), u = 2, x < -3, And(x+3 < y,y < 0), z < -(y-x)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-4, -4], [-1/
2, -1/2], [-3, -3]]]], [[2, 18, 1, 7, 2], [v = -2^(1/2), u = 2, x < -3, And(x+
3 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [2, 2], [-4, -4], [-1/2, -1/2], [-7846825/4194304, -980853/524288]]]]
, [[2, 18, 1, 7, 3], [v = -2^(1/2), u = 2, x < -3, And(x+3 < y,y < 0), And(-(y
-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [2, 2], [-4, -4], [-1/2, -1/2], [0, 0]]]], [[2, 18, 1, 7, 4], [v = -2
^(1/2), u = 2, x < -3, And(x+3 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [2, 2], [-4, -4], [-1/2, -1/2], [980853/
524288, 1961707/1048576]]]], [[2, 18, 1, 7, 5], [v = -2^(1/2), u = 2, x < -3,
And(x+3 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [2, 2], [-4, -4], [-1/2, -1/2], [3, 3]]]], [[3, 4, 1, 3, 1], [
And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x < -2, And(x < y,y < x+2), z <
-(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915
/262144, -3287319/2097152], [-3, -3], [-2, -2], [-2, -2]]]], [[3, 4, 1, 3, 2],
[And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x < -2, And(x < y,y < x+2), z =
-(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915
/262144, -3287319/2097152], [-3, -3], [-2, -2], [-1, -1]]]], [[3, 4, 1, 3, 3],
[And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x < -2, And(x < y,y < x+2), And
(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3], [-2, -2], [0,
0]]]], [[3, 4, 1, 3, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x < -2
, And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3], [-2, -2], [1,
1]]]], [[3, 4, 1, 3, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x < -2
, And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3], [-2, -2], [2,
2]]]], [[3, 5, 11, 2, 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, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 2, 1, 1], [And(-2^(1/2) < v,v < -1), u = -v, x = -1, y < -1, z = z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-1, -1], [-2, -2], [0, 0]]]], [[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 < x-u^2+v^2+1, z = z], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [898327/524288, 898327/524288], [-3647693/2097152, -3647693/2097152
], [-4, -4], [0, 0]]]], [[3, 16, 8, 7, 1], [And(-2^(1/2) < v,v < -1), u = (v^2
+2)^(1/2), x = 1, 4 < y, z < -(y-1)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [121853/65536, 1949649/1048576], [1, 1], [5, 5], [-3, -3]
]]], [[3, 16, 8, 7, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 1, 4
< y, z = -(y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[121853/65536, 1949649/1048576], [1, 1], [5, 5], [-2, -2]]]], [[3, 16, 8, 7, 3
], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 1, 4 < y, 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, 7, 4
], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 1, 4 < y, z = (y-1)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 
1949649/1048576], [1, 1], [5, 5], [2, 2]]]], [[3, 16, 8, 7, 5], [And(-2^(1/2)
< v,v < -1), u = (v^2+2)^(1/2), x = 1, 4 < y, (y-1)^(1/2) < z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [1,
1], [5, 5], [3, 3]]]], [[4, 3, 5, 9, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2
)), And(-1 < x,x < 0), u^2+x < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1]
, [-6598195/4194304, -6598195/4194304], [-1/2, -1/2], [3, 3], [-3, -3]]]], [[4
, 3, 5, 9, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), u^2
+x < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [-1/2, -1/2], [3, 3], [-7846825/4194304, -980853/524288]]]],
[[4, 3, 5, 9, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0),
u^2+x < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1],
[-6598195/4194304, -6598195/4194304], [-1/2, -1/2], [3, 3], [0, 0]]]], [[4, 3,
5, 9, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), u^2+x <
y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [-1/2, -1/2], [3, 3], [980853/524288, 1961707/1048576]]]], [[4, 3, 5
, 9, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), u^2+x < y
, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [-1/2, -1/2], [3, 3], [3, 3]]]], [[4, 5, 4, 8, 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], [239655/524288, 479311/1048576],
[-3, -3]]]], [[4, 5, 4, 8, 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], [239655/524288, 479311/1048576], [-1265743/1048576, -1265743/
1048576]]]], [[4, 5, 4, 8, 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], [239655/524288, 479311/1048576], [0, 0]]]], [[4, 5
, 4, 8, 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], [
239655/524288, 479311/1048576], [1265743/1048576, 1265743/1048576]]]], [[4, 5,
4, 8, 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], [
239655/524288, 479311/1048576], [3, 3]]]], [[4, 11, 4, 7, 1], [v = -1, And(1 <
u,u < 2^(1/2)), x = -1, And(0 < y,y < u^2-1), z < -(y+1)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1, -1], [
239655/1048576, 239655/1048576], [-3, -3]]]], [[4, 11, 4, 7, 2], [v = -1, And(
1 < u,u < 2^(1/2)), x = -1, And(0 < y,y < u^2-1), z = -(y+1)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1, -1], [
239655/1048576, 239655/1048576], [-1162243/1048576, -581121/524288]]]], [[4, 
11, 4, 7, 3], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, And(0 < y,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], [239655/1048576, 239655/1048576], [0, 0]]
]], [[4, 11, 4, 7, 4], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, And(0 < y,y <
u^2-1), z = (y+1)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743
/1048576], [-1, -1], [239655/1048576, 239655/1048576], [581121/524288, 1162243
/1048576]]]], [[4, 11, 4, 7, 5], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, And(
0 < y,y < u^2-1), (y+1)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-1, -1], [239655/1048576, 239655/1048576], [3, 3]]
]], [[4, 13, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9,
6, 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, 6, 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, 6, 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, 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 < -y^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [0, 0], [1291597/1048576, 1291597/1048576], [-3, -3]]
]], [[5, 3, 6, 5, 2], [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 = -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, 5, 3], [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), 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, 5, 4], [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 = 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, 5, 5], [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
), 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, 6,
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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, And(x-u^2
+v^2+1 < y,y < x), 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(0 < y,y < 1)
, z = z], [regular_chain, [[0, 0], [-1, -1], [1, 1], [1/2, 1/2], [0, 0]]]], [[
6, 6, 6, 7, 1], [v = 0, u = 0, x = 1, 2 < y, z < -(y-1)^(1/2)], [regular_chain
, [[0, 0], [0, 0], [1, 1], [3, 3], [-3, -3]]]], [[6, 6, 6, 7, 2], [v = 0, u =
0, x = 1, 2 < y, z = -(y-1)^(1/2)], [regular_chain, [[0, 0], [0, 0], [1, 1], [
3, 3], [-1482911/1048576, -741455/524288]]]], [[6, 6, 6, 7, 3], [v = 0, u = 0,
x = 1, 2 < y, 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, 7, 4], [v = 0, u = 0, x = 1, 2 <
y, z = (y-1)^(1/2)], [regular_chain, [[0, 0], [0, 0], [1, 1], [3, 3], [741455/
524288, 1482911/1048576]]]], [[6, 6, 6, 7, 5], [v = 0, u = 0, x = 1, 2 < y, (y
-1)^(1/2) < z], [regular_chain, [[0, 0], [0, 0], [1, 1], [3, 3], [3, 3]]]], [[
7, 1, 1, 7, 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 < 0), z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3],
[-11, -11], [-5/8, -5/8], [-5, -5]]]], [[7, 1, 1, 7, 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 < 0), z = -(y-x)^(1/2)
], [regular_chain, [[1/2, 1/2], [-3, -3], [-11, -11], [-5/8, -5/8], [-1688745/
524288, -3377489/1048576]]]], [[7, 1, 1, 7, 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 < 0), And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [-11, -11], [-5/8, -5/8]
, [0, 0]]]], [[7, 1, 1, 7, 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 < 0), z = (y-x)^(1/2)], [regular_chain, [[1/2, 1
/2], [-3, -3], [-11, -11], [-5/8, -5/8], [3377489/1048576, 1688745/524288]]]],
[[7, 1, 1, 7, 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 < 0), (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3, -3]
, [-11, -11], [-5/8, -5/8], [5, 5]]]], [[7, 2, 7, 6, 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, 6, 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, 6, 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, 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], [-9/4, -9/4], [-2, -2]]]], [[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], [-9/4, -9/4], [-1816187/2097152,
-3632373/4194304]]]], [[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], [-9/4, -9/4], [-1/8388608
, -1/8388608]]]], [[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], [-9/4, -9/4], [908093/1048576, 454047/524288]]]], [[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], [-9/4
, -9/4], [2, 2]]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[1/2, 1/2],
[1696631/2097152, 1696631/2097152], [-3, -3], [0, 0], [-3, -3]]]], [[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 = 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
, 8, 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, 8, 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, 8, 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, 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 < 0, z = z], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [243021/524288, 
486043/1048576], [-1, -1], [0, 0]]]], [[7, 13, 5, 4, 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, 4, 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, 4, 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, 11, 4, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, y = x-u^2+2, z
= z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [2, 2], [
1599345/1048576, 799673/524288], [0, 0]]]], [[8, 5, 10, 7, 1], [v = 1, And(-2^
(1/2) < u,u < -1), x = 1, And(-u^2+3 < y,y < u^2+1), z < -(y-1)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1, 1], [2, 2],
[-2, -2]]]], [[8, 5, 10, 7, 2], [v = 1, And(-2^(1/2) < u,u < -1), x = 1, And(-
u^2+3 < y,y < u^2+1), z = -(y-1)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [1, 1], [2, 2], [-1, -1]]]], [[8, 5, 10, 7, 3], [v
= 1, And(-2^(1/2) < 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], [-1265743/1048576, -\
1265743/1048576], [1, 1], [2, 2], [0, 0]]]], [[8, 5, 10, 7, 4], [v = 1, And(-2
^(1/2) < u,u < -1), x = 1, And(-u^2+3 < y,y < u^2+1), z = (y-1)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1, 1], [2, 2],
[1, 1]]]], [[8, 5, 10, 7, 5], [v = 1, And(-2^(1/2) < u,u < -1), x = 1, And(-u^
2+3 < y,y < u^2+1), (y-1)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [1, 1], [2, 2], [2, 2]]]], [[8, 11, 9, 9, 1], [v =
1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), u^2+x < y, z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [3, 3]
, [-3, -3]]]], [[8, 11, 9, 9, 2], [v = 1, And(1 < u,u < 2^(1/2)), And(0 < x,x
< 1), u^2+x < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576,
1265743/1048576], [1/2, 1/2], [3, 3], [-3315889/2097152, -207243/131072]]]], [
[8, 11, 9, 9, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), u^2+x < y,
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [1/2, 1/2], [3, 3], [0, 0]]]], [[8, 11, 9, 9, 4], [
v = 1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), u^2+x < y, z = (y-x)^(1/2)],
[regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [3, 3
], [207243/131072, 1657945/1048576]]]], [[8, 11, 9, 9, 5], [v = 1, And(1 < u,u
< 2^(1/2)), And(0 < x,x < 1), u^2+x < y, (y-x)^(1/2) < z], [regular_chain, [[1
, 1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [3, 3], [3, 3]]]], [[8,
13, 9, 3, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), And(
0 < y,y < x-u^2+2), z = z], [regular_chain, [[1, 1], [3299097/2097152, 3299097
/2097152], [773191/1048576, 773191/1048576], [275385/2097152, 275385/2097152],
[0, 0]]]], [[9, 2, 4, 1, 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], [-3, -3], [0, 0]]]], [[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], [-3213833/2097152, -\
401729/262144], [-3, -3]]]], [[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], [-3213833/2097152, -401729/262144], [-1270261/
1048576, -317565/262144]]]], [[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], [-3213833/2097152, -\
401729/262144], [0, 0]]]], [[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], [-3213833/2097152, -401729/262144], [317565/262144, 
1270261/1048576]]]], [[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], [-3213833/2097152, -401729/262144], [3, 3]]]], [[9, 14, 9,
7, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), 1 < x, x+2 < y, z < -(y-x)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576,
410915/262144], [2, 2], [5, 5], [-3, -3]]]], [[9, 14, 9, 7, 2], [And(1 < v,v <
2^(1/2)), u = (v^2+1)^(1/2), 1 < x, x+2 < y, z = -(y-x)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [2, 2
], [5, 5], [-1816187/1048576, -3632373/2097152]]]], [[9, 14, 9, 7, 3], [And(1
< v,v < 2^(1/2)), u = (v^2+1)^(1/2), 1 < x, x+2 < y, And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/
1048576, 410915/262144], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[9, 14,
9, 7, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), 1 < x, x+2 < y, z = (y-x
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/
1048576, 410915/262144], [2, 2], [5, 5], [908093/524288, 1816187/1048576]]]],
[[9, 14, 9, 7, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), 1 < x, x+2 < y,
(y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1643659/1048576, 410915/262144], [2, 2], [5, 5], [3, 3]]]], [[10, 1, 6, 7, 1],
[v = 2^(1/2), u < -2, x = 0, u^2-1 < y, z < -y^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [0, 0], [9, 9], [-4, -4]]]], [[10,
1, 6, 7, 2], [v = 2^(1/2), u < -2, x = 0, u^2-1 < y, z = -y^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [0, 0], [9, 9], [-\
3, -3]]]], [[10, 1, 6, 7, 3], [v = 2^(1/2), u < -2, x = 0, u^2-1 < y, 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, 7, 4], [v = 2^(1/2), u < -2, x =
0, u^2-1 < y, z = y^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-3, -3], [0, 0], [9, 9], [3, 3]]]], [[10, 1, 6, 7, 5], [v = 2^(1/2), u < -2,
x = 0, u^2-1 < y, y^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [0, 0], [9, 9], [4, 4]]]], [[10, 3, 4, 3, 1], [v = 2^(1/2)
, And(-2 < u,u < -3^(1/2)), x = -1, And(-u^2+2 < y,y < -1), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-1, -1], [-2602619/2097152, -2602619/2097152], [0, 0]]]], [[10, 9,
1, 7, 1], [v = 2^(1/2), And(-1 < u,u < 0), x < u^2-3, And(x-u^2+3 < y,y < 0),
z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -\
1/2], [-4, -4], [-5/8, -5/8], [-3, -3]]]], [[10, 9, 1, 7, 2], [v = 2^(1/2), 
And(-1 < u,u < 0), x < u^2-3, And(x-u^2+3 < y,y < 0), z = -(y-x)^(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, 7, 3], [v = 2^(
1/2), And(-1 < u,u < 0), x < u^2-3, And(x-u^2+3 < y,y < 0), And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2,
-1/2], [-4, -4], [-5/8, -5/8], [0, 0]]]], [[10, 9, 1, 7, 4], [v = 2^(1/2), And
(-1 < u,u < 0), x < u^2-3, And(x-u^2+3 < y,y < 0), z = (y-x)^(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, 7, 5], [v = 2^(1/2)
, And(-1 < u,u < 0), x < u^2-3, And(x-u^2+3 < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-4, -4], [-5/
8, -5/8], [3, 3]]]], [[10, 10, 8, 1, 1], [v = 2^(1/2), u = 0, x = 1, y < 0, z
= z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [1, 1], [-1,
-1], [0, 0]]]], [[10, 15, 1, 6, 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], [-3198693/
2097152, -799673/524288], [-3, -3]]]], [[10, 15, 1, 6, 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], [-3198693/2097152, -799673/524288], [-1273381/1048576, -318345/262144]]]]
, [[10, 15, 1, 6, 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], [-\
3198693/2097152, -799673/524288], [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-1, z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-3, -3], [-3198693/2097152, -799673/524288], [318345/262144, 
1273381/1048576]]]], [[10, 15, 1, 6, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)),
x < -u^2+1, y = u^2+x-1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288,
1482911/1048576], [3299097/2097152, 3299097/2097152], [-3, -3], [-3198693/
2097152, -799673/524288], [3, 3]]]], [[10, 16, 9, 7, 1], [v = 2^(1/2), u = 3^(
1/2), 1 < x, x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [908093/524288, 1816187/1048576], [2, 2], [5, 5], [-3, -3]]]
], [[10, 16, 9, 7, 2], [v = 2^(1/2), u = 3^(1/2), 1 < x, x+2 < y, z = -(y-x)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 
1816187/1048576], [2, 2], [5, 5], [-1816187/1048576, -3632373/2097152]]]], [[
10, 16, 9, 7, 3], [v = 2^(1/2), u = 3^(1/2), 1 < x, x+2 < y, And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
908093/524288, 1816187/1048576], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]],
[[10, 16, 9, 7, 4], [v = 2^(1/2), u = 3^(1/2), 1 < x, x+2 < y, z = (y-x)^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [2, 2], [5, 5], [908093/524288, 1816187/1048576]]]], [[10, 16, 9, 7,
5], [v = 2^(1/2), u = 3^(1/2), 1 < x, x+2 < y, (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [2, 2], [5, 5], [3, 3]]]], [[10, 19, 4, 9, 1], [v = 2^(1/2), 2 < u,
x = -1, u^2-2 < y, z < -(y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [3, 3], [-1, -1], [8, 8], [-4, -4]]]], [[10, 19, 4, 9, 2], [v = 2^(
1/2), 2 < u, x = -1, u^2-2 < y, z = -(y+1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [-1, -1], [8, 8], [-3, -3]]]], [[10, 19, 4,
9, 3], [v = 2^(1/2), 2 < u, x = -1, u^2-2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^
(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1, -1],
[8, 8], [0, 0]]]], [[10, 19, 4, 9, 4], [v = 2^(1/2), 2 < u, x = -1, u^2-2 < y,
z = (y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [
-1, -1], [8, 8], [3, 3]]]], [[10, 19, 4, 9, 5], [v = 2^(1/2), 2 < u, x = -1, u
^2-2 < y, (y+1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[3, 3], [-1, -1], [8, 8], [4, 4]]]], [[11, 1, 11, 3, 1], [2^(1/2) < v, u < -(v
^2+2)^(1/2), u^2-v^2-1 < x, And(0 < y,y < x-u^2+v^2+1), z = z], [regular_chain
, [[3, 3], [-5, -5], [16, 16], [1/2, 1/2], [0, 0]]]], [[11, 5, 10, 1, 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], [-1, -1], [0, 0]]]], [[11
, 7, 10, 9, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 1, -u^2+v^2+
2 < y, z < -(y-1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549
/2097152], [1, 1], [4, 4], [-3, -3]]]], [[11, 7, 10, 9, 2], [2^(1/2) < v, And(
-v < u,u < -(v^2-1)^(1/2)), x = 1, -u^2+v^2+2 < y, z = -(y-1)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1, 1], [4, 4],
[-1816187/1048576, -3632373/2097152]]]], [[11, 7, 10, 9, 3], [2^(1/2) < v, And
(-v < u,u < -(v^2-1)^(1/2)), x = 1, -u^2+v^2+2 < y, 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, 9, 4], [2^(1/2) < v,
And(-v < u,u < -(v^2-1)^(1/2)), x = 1, -u^2+v^2+2 < y, z = (y-1)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1, 1], [4, 4],
[908093/524288, 1816187/1048576]]]], [[11, 7, 10, 9, 5], [2^(1/2) < v, And(-v
< u,u < -(v^2-1)^(1/2)), x = 1, -u^2+v^2+2 < y, (y-1)^(1/2) < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1, 1], [4, 4],
[3, 3]]]], [[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 < x), z = z], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-919691/524288, -\
919691/524288], [-526475/262144, -526475/262144], [0, 0]]]], [[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], [-1064009/1048576, -133001/
131072], [-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], [-1064009/1048576, -133001/131072], [-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], [-1064009/1048576, -133001/131072], [-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], [-1064009/1048576, -133001/131072], [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], [-\
1064009/1048576, -133001/131072], [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(0 < y,y < u^2-v^2), z <
-(y+1)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-\
1, -1], [391655/524288, 391655/524288], [-3, -3]]]], [[11, 19, 4, 7, 2], [2^(1
/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(0 < y,y < u^2-v
^2), z = -(y+1)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [-1, -1], [391655/524288, 391655/524288], [-346489/262144, -1385955/
1048576]]]], [[11, 19, 4, 7, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+
2)^(1/2)), x = -1, And(0 < y,y < u^2-v^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2
))], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-1, -1], [
391655/524288, 391655/524288], [0, 0]]]], [[11, 19, 4, 7, 4], [2^(1/2) < v, 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(0 < y,y < u^2-v^2), z =
(y+1)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-1
, -1], [391655/524288, 391655/524288], [1385955/1048576, 346489/262144]]]], [[
11, 19, 4, 7, 5], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x =
-1, And(0 < y,y < u^2-v^2), (y+1)^(1/2) < z], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [-1, -1], [391655/524288, 391655/524288], [
3, 3]]]], [[11, 21, 2, 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 = z], [regular_chain, [[3, 3], [5, 5], [-17, -17], [-33, -\
33], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-3, -3], [-3, -3], [-1, -1]]]], [[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 = x, z = 0], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-3, -3], [-3, -3]
, [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-3, -3], [-3, -3], [1, 1]]]], [[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 = x-u^2+v^2+1, z < -(-u^2+v^
2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152],
[-3, -3], [-391287/262144, -1565147/1048576], [-3, -3]]]], [[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 = x-u^2+v^2+1, z
= -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549
/2097152], [-3, -3], [-391287/262144, -1565147/1048576], [-1287385/1048576, -\
160923/131072]]]], [[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 = x-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],
[-3, -3], [-391287/262144, -1565147/1048576], [0, 0]]]], [[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 = x-u^2+v^2+1, z =
(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-3, -3], [-391287/262144, -1565147/1048576], [160923/131072, 
1287385/1048576]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain
, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3, -3], [-391287/262144,
-1565147/1048576], [3, 3]]]], [[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 < u^2-v^2+x+1, z = z], [
regular_chain, [[-3, -3], [0, 0], [-11, -11], [-20, -20], [0, 0]]]], [[1, 12,
6, 7, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 0, 3 < y, z < -y^(1/2)], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [0, 0], [4, 4], [-3,
-3]]]], [[1, 12, 6, 7, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 0, 3 < y, z =
-y^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [0, 0], [
4, 4], [-2, -2]]]], [[1, 12, 6, 7, 3], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 0
, 3 < y, 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, 7, 4], [v < -2^(1
/2), u = (v^2-2)^(1/2), x = 0, 3 < y, z = y^(1/2)], [regular_chain, [[-3, -3],
[2774271/1048576, 10837/4096], [0, 0], [4, 4], [2, 2]]]], [[1, 12, 6, 7, 5], [
v < -2^(1/2), u = (v^2-2)^(1/2), x = 0, 3 < y, y^(1/2) < z], [regular_chain, [
[-3, -3], [2774271/1048576, 10837/4096], [0, 0], [4, 4], [3, 3]]]], [[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
+2), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/
1048576], [-3/2, -3/2], [1/4, 1/4], [-3, -3]]]], [[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+2), z = -(y-x)^(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, 5, 3], [v < -2^(1/
2), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2), And(-(y-x)^(1/2
) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [207243/65536, 3315889/
1048576], [-3/2, -3/2], [1/4, 1/4], [0, 0]]]], [[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+2), z = (y-x)^(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, 5, 5], [v < -2^(1/2),
u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2), (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-3/2, -3/2], [1/4,
1/4], [3, 3]]]], [[1, 20, 1, 7, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), x < -3,
And(x+3 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [-4, -4], [-1/2, -1/2], [-3, -3]]]], [[1, 20, 1, 7,
2], [v < -2^(1/2), u = (v^2+2)^(1/2), x < -3, And(x+3 < y,y < 0), z = -(y-x)^(
1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-4, -4],
[-1/2, -1/2], [-7846825/4194304, -980853/524288]]]], [[1, 20, 1, 7, 3], [v < -
2^(1/2), u = (v^2+2)^(1/2), x < -3, And(x+3 < y,y < 0), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288],
[-4, -4], [-1/2, -1/2], [0, 0]]]], [[1, 20, 1, 7, 4], [v < -2^(1/2), u = (v^2+
2)^(1/2), x < -3, And(x+3 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-3,
-3], [3477733/1048576, 1738867/524288], [-4, -4], [-1/2, -1/2], [980853/524288
, 1961707/1048576]]]], [[1, 20, 1, 7, 5], [v < -2^(1/2), u = (v^2+2)^(1/2), x
< -3, And(x+3 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [-4, -4], [-1/2, -1/2], [3, 3]]]], [[2, 2, 8
, 2, 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,
6, 2, 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, 2, 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, 2, 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, 9, 1], [v = -2^(1/2), And(v < u,u < -1), And(-1 < x,x
< -u^2+1), x-u^2+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -\
1527887/2097152], [2, 2], [-3, -3]]]], [[2, 7, 5, 9, 2], [v = -2^(1/2), And(v
< u,u < -1), And(-1 < x,x < -u^2+1), x-u^2+3 < y, z = -(y-x)^(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, 9, 3], [v = -2^(1/2), And(v < u,u <
-1), And(-1 < x,x < -u^2+1), x-u^2+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9, 4], [v = -2^(1/2), And(v < u,u < -1), And(-1 < x,
x < -u^2+1), x-u^2+3 < y, z = (y-x)^(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, 9, 5
], [v = -2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1), x-u^2+3 < y, (y-x
)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [2, 2], [3,
3]]]], [[2, 9, 4, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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,
3, 1], [v = -2^(1/2), And(1 < u,u < -v), x = -1, And(-1 < y,y < u^2-2), z < -(
y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [-1, -1], [-3235683/4194304, -3235683/4194304], [-2
, -2]]]], [[2, 13, 4, 3, 2], [v = -2^(1/2), And(1 < u,u < -v), x = -1, And(-1
< y,y < u^2-2), z = -(y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [1265743/1048576, 1265743/1048576], [-1, -1], [-3235683/4194304, -\
3235683/4194304], [-31331/65536, -501295/1048576]]]], [[2, 13, 4, 3, 3], [v =
-2^(1/2), And(1 < u,u < -v), x = -1, And(-1 < y,y < u^2-2), And(-(y+1)^(1/2) <
z,z < (y+1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-1, -1], [-3235683/4194304, -3235683/
4194304], [0, 0]]]], [[2, 13, 4, 3, 4], [v = -2^(1/2), And(1 < u,u < -v), x =
-1, And(-1 < y,y < u^2-2), z = (y+1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-1, -1], [-\
3235683/4194304, -3235683/4194304], [501295/1048576, 31331/65536]]]], [[2, 13,
4, 3, 5], [v = -2^(1/2), And(1 < u,u < -v), x = -1, And(-1 < y,y < u^2-2), (y+
1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [-1, -1], [-3235683/4194304, -3235683/4194304], [2,
2]]]], [[2, 15, 4, 7, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -1, And(
0 < y,y < u^2-2), z < -(y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [-1, -1], [497805/2097152,
497805/2097152], [-3, -3]]]], [[2, 15, 4, 7, 2], [v = -2^(1/2), And(-v < u,u <
3^(1/2)), x = -1, And(0 < y,y < u^2-2), z = -(y+1)^(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, 7, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -1, And(0 < y,y <
u^2-2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-1, -1], [
497805/2097152, 497805/2097152], [0, 0]]]], [[2, 15, 4, 7, 4], [v = -2^(1/2),
And(-v < u,u < 3^(1/2)), x = -1, And(0 < y,y < u^2-2), z = (y+1)^(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, 7, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -1
, And(0 < y,y < u^2-2), (y+1)^(1/2) < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [3299097/2097152, 3299097/2097152], [-1, -1], [497805/2097152
, 497805/2097152], [3, 3]]]], [[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 = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [0, 0], [-8, -8], [0, 0]]]], [[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 = x-u^2+v^2+1, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-\
3647693/2097152, -3647693/2097152], [-2325813/1048576, -581453/262144], [0, 0]
]]], [[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-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [2, 2], [-3, -3]]]], [
[3, 7, 5, 9, 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), x-u^2+v^2+1 < y, z = -(y-x)^(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, 9, 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), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-1498947/2097152, -1498947/2097152], [2,
2], [0, 0]]]], [[3, 7, 5, 9, 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), x-u^2+v^2+1 < y, z = (y-x)^(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, 9, 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), x-u^2+v^2+1 < y, (y-x)^(1
/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-1498947/2097152, -1498947/2097152], [2, 2], [3,
3]]]], [[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 < -(-u^2+v^2+1)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [763943/524288, 
1527887/1048576], [-3, -3]]]], [[3, 9, 4, 8, 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], [763943/524288, 1527887/1048576], [-410915/262144, -3287319/2097152]]]
], [[3, 9, 4, 8, 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], [763943/524288, 1527887/1048576], [-1/4194304, -1/4194304]]]], [[3, 9, 4,
8, 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], [763943/524288, 1527887/1048576]
, [1643659/1048576, 410915/262144]]]], [[3, 9, 4, 8, 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], [763943/524288, 1527887/1048576], [3, 3]]]], [[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 < x-u
^2+v^2+1, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3
], [7909297/2097152, 7909297/2097152], [-4, -4], [0, 0]]]], [[4, 2, 3, 9, 1],
[v = -1, u = -3^(1/2), And(-3 < x,x < -1), x+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-2, -2], [2,
2], [-3, -3]]]], [[4, 2, 3, 9, 2], [v = -1, u = -3^(1/2), And(-3 < x,x < -1),
x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [-2, -2], [2, 2], [-2, -2]]]], [[4, 2, 3, 9, 3], [v = -1, u
= -3^(1/2), And(-3 < x,x < -1), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-2, -2],
[2, 2], [0, 0]]]], [[4, 2, 3, 9, 4], [v = -1, u = -3^(1/2), And(-3 < x,x < -1)
, x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [-2, -2], [2, 2], [2, 2]]]], [[4, 2, 3, 9, 5], [v = -1, u =
-3^(1/2), And(-3 < x,x < -1), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-1,
-1], [-1816187/1048576, -3632373/2097152], [-2, -2], [2, 2], [3, 3]]]], [[4, 6
, 3, 6, 1], [v = -1, u = -1, And(-1 < x,x < 0), y = x+1, z < -1], [
regular_chain, [[-1, -1], [-1, -1], [-1/2, -1/2], [1/2, 1/2], [-2, -2]]]], [[4
, 6, 3, 6, 2], [v = -1, u = -1, And(-1 < x,x < 0), y = x+1, z = -1], [
regular_chain, [[-1, -1], [-1, -1], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[4
, 6, 3, 6, 3], [v = -1, u = -1, And(-1 < x,x < 0), y = x+1, And(-1 < z,z < 1)]
, [regular_chain, [[-1, -1], [-1, -1], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[
4, 6, 3, 6, 4], [v = -1, u = -1, And(-1 < x,x < 0), y = x+1, z = 1], [
regular_chain, [[-1, -1], [-1, -1], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[4,
6, 3, 6, 5], [v = -1, u = -1, And(-1 < x,x < 0), y = x+1, 1 < z], [
regular_chain, [[-1, -1], [-1, -1], [-1/2, -1/2], [1/2, 1/2], [2, 2]]]], [[4,
8, 4, 3, 1], [v = -1, u = 0, x = -1, And(-1 < y,y < 0), z < -(y+1)^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [-1, -1], [-1/2, -1/2], [-2, -2]]]], [[4, 8,
4, 3, 2], [v = -1, u = 0, x = -1, And(-1 < y,y < 0), z = -(y+1)^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [-1, -1], [-1/2, -1/2], [-1482911/2097152, -\
741455/1048576]]]], [[4, 8, 4, 3, 3], [v = -1, u = 0, x = -1, And(-1 < y,y < 0
), And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-1, -\
1], [-1/2, -1/2], [741455/1048576, 46341/65536]]]], [[4, 8, 4, 3, 5], [v = -1,
u = 0, x = -1, And(-1 < y,y < 0), (y+1)^(1/2) < z], [regular_chain, [[-1, -1],
[0, 0], [-1, -1], [-1/2, -1/2], [2, 2]]]], [[4, 14, 1, 7, 1], [v = -1, u = 3^(
1/2), x < -3, And(x+3 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1]
, [908093/524288, 1816187/1048576], [-4, -4], [-1/2, -1/2], [-3, -3]]]], [[4,
14, 1, 7, 2], [v = -1, u = 3^(1/2), x < -3, And(x+3 < y,y < 0), z = -(y-x)^(1/
2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-4, -4], [-\
1/2, -1/2], [-7846825/4194304, -980853/524288]]]], [[4, 14, 1, 7, 3], [v = -1,
u = 3^(1/2), x < -3, And(x+3 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-4, -4], [-1/
2, -1/2], [0, 0]]]], [[4, 14, 1, 7, 4], [v = -1, u = 3^(1/2), x < -3, And(x+3
< y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 
1816187/1048576], [-4, -4], [-1/2, -1/2], [980853/524288, 1961707/1048576]]]],
[[4, 14, 1, 7, 5], [v = -1, u = 3^(1/2), x < -3, And(x+3 < y,y < 0), (y-x)^(1/
2) < z], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-4, -4]
, [-1/2, -1/2], [3, 3]]]], [[4, 15, 9, 6, 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, 6, 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, 6, 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, 5, 7, 1],
[And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, z < -(y-x)
^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-\
1/2, -1/2], [3, 3], [-3, -3]]]], [[5, 4, 5, 7, 2], [And(-1 < v,v < 0), u = -(v
^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, z = -(y-x)^(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, 7, 3], [And(-1 < v,v < 0), u =
-(v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/
2))], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-1/2
, -1/2], [3, 3], [0, 0]]]], [[5, 4, 5, 7, 4], [And(-1 < v,v < 0), u = -(v^2+1)
^(1/2), And(-1 < x,x < 0), x+2 < y, z = (y-x)^(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, 7, 5], [And(-1 < v,v < 0), u = -(v^2+1
)^(1/2), And(-1 < x,x < 0), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2,
-1/2], [-146543/131072, -1172343/1048576], [-1/2, -1/2], [3, 3], [3, 3]]]], [[
5, 6, 4, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 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(x-u^2+v^2+1 < y,y < x),
z = z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1/2,
-1/2], [-24553891/33554432, -24553891/33554432], [0, 0]]]], [[6, 1, 11, 5, 1],
[v = 0, u < -2^(1/2), u^2-1 < x, And(x-u^2+1 < y,y < x), 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], [239655/524288, 479311/1048576], [-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], [
239655/524288, 479311/1048576], [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], [239655/
524288, 479311/1048576], [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 < -y^(1/2)], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [0, 0], [1288231/1048576, 1288231/1048576],
[-3, -3]]]], [[6, 9, 6, 5, 2], [v = 0, And(1 < u,u < 2^(1/2)), x = 0, And(0 <
y,y < u^2+1), 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, 5, 3], [v = 0, And(1 < u,u < 2^(1/2)),
x = 0, And(0 < y,y < u^2+1), 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, 5, 4], [v = 0, And(1 < u,u < 2^(1/2)), x = 0,
And(0 < y,y < u^2+1), 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, 5, 5], [v = 0, And(1 < u,u < 2^(1/2)), x = 0,
And(0 < y,y < u^2+1), y^(1/2) < z], [regular_chain, [[0, 0], [1265743/1048576,
1265743/1048576], [0, 0], [1288231/1048576, 1288231/1048576], [3, 3]]]], [[6,
11, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [1534619/2097152
, 1534619/2097152], [3350503/1048576, 418813/131072], [-3, -3]]]], [[7, 3, 9,
8, 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
], [3350503/1048576, 418813/131072], [-3291611/2097152, -1645805/1048576]]]],
[[7, 3, 9, 8, 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], [3350503/1048576, 418813/131072],
[0, 0]]]], [[7, 3, 9, 8, 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], [3350503/1048576, 418813/131072], [1645805/1048576,
822903/524288]]]], [[7, 3, 9, 8, 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], [3350503/1048576, 418813/131072], [3, 3]]]]
, [[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 < 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,
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 < 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, 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
< 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, 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 < 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, 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 < 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, 3, 1], [v = 1, u < -3^(1/2), 
And(-u^2 < x,x < -1), And(x-u^2+2 < y,y < x), z = z], [regular_chain, [[1, 1],
[-3, -3], [-5, -5], [-17/2, -17/2], [0, 0]]]], [[8, 2, 9, 6, 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, 6, 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, 6, 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, 2, 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, 2, 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, 2,
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, 3, 1], [v = 1, And(0 < u,u < 1), x = u^2-2, And(u^2-2 < y,y < 2*
u^2-2), z < -(y-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-7/4, -7/
4], [-13/8, -13/8], [-2, -2]]]], [[8, 9, 2, 3, 2], [v = 1, And(0 < u,u < 1), x
= u^2-2, And(u^2-2 < y,y < 2*u^2-2), z = -(y-u^2+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, 3, 3], [v = 1, And(0 < u,u < 1), x = u^2-2, And(u^2-2
< y,y < 2*u^2-2), And(-(y-u^2+2)^(1/2) < z,z < (y-u^2+2)^(1/2))], [
regular_chain, [[1, 1], [1/2, 1/2], [-7/4, -7/4], [-13/8, -13/8], [0, 0]]]], [
[8, 9, 2, 3, 4], [v = 1, And(0 < u,u < 1), x = u^2-2, And(u^2-2 < y,y < 2*u^2-\
2), z = (y-u^2+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, 3, 5], [v = 1, 
And(0 < u,u < 1), x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), (y-u^2+2)^(1/2) < z],
[regular_chain, [[1, 1], [1/2, 1/2], [-7/4, -7/4], [-13/8, -13/8], [2, 2]]]],
[[8, 14, 6, 7, 1], [v = 1, u = 3^(1/2), x = 0, 3 < y, z < -y^(1/2)], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [0, 0], [4, 4], [-3,
-3]]]], [[8, 14, 6, 7, 2], [v = 1, u = 3^(1/2), x = 0, 3 < y, z = -y^(1/2)], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [0, 0], [4, 4], [-2,
-2]]]], [[8, 14, 6, 7, 3], [v = 1, u = 3^(1/2), x = 0, 3 < y, 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, 7, 4], [v = 1, u = 3^(1/2), x = 0, 3 < y, z
= y^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [0, 0],
[4, 4], [2, 2]]]], [[8, 14, 6, 7, 5], [v = 1, u = 3^(1/2), x = 0, 3 < y, y^(1/
2) < z], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [0, 0], [4
, 4], [3, 3]]]], [[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 < -1), z = z], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3, -3], [-1, -1], [-8957873/2097152, -8957873/2097152], [0
, 0]]]], [[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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(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, 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(x < y,y < x-u^2+v^
2+1), z = -(y-x)^(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, 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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-
x)^(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, 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(x < y,y < x-u^2+v^2+1), z = (y-x)^(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, 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(x < y,y < x-u^2+v^2+1), (y-x
)^(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, 2, 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, 2, 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, 2, 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, 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 < 0, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [1, 1], [-1, -1], [0, 0]]]], [[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 = 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, 4, 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, 4, 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, 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(x < y,y
< u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [2, 2], [6793421/2097152, 6793421/
2097152], [-3, -3]]]], [[9, 15, 11, 7, 2], [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 = -(y-x)^
(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, 7, 3], [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), And(-(y-x)^(1
/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [898327/524288, 898327/524288], [2, 2], [6793421/2097152, 6793421/2097152],
[0, 0]]]], [[9, 15, 11, 7, 4], [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 = (y-x)^(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, 7, 5], [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), (y-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [2, 2], [6793421/2097152, 6793421/2097152], [3, 3]]]], [[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 <
x-u^2+v^2+1, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3,
3], [7909297/2097152, 7909297/2097152], [-4, -4], [0, 0]]]], [[10, 5, 10, 2, 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, 1, 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], [-1, -1], [0, 0]]]], [
[10, 11, 10, 1, 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], [-1, -1]
, [0, 0]]]], [[10, 13, 9, 4, 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,
4, 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, 4, 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, 9, 2, 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, 1, 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], [-1, -1], [0, 0]]]], [[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-u^2+v^2+1, z < -(-u^2
+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608
], [-4, -4], [-1564117/1048576, -391029/262144], [-3, -3]]]], [[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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [-4, -4], [-1564117/1048576, -391029/262144], [-\
3321417/2097152, -415177/262144]]]], [[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-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], [-4, -4], [-1564117/1048576, -391029/
262144], [0, 0]]]], [[11, 9, 1, 6, 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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-4, -4], [-\
1564117/1048576, -391029/262144], [415177/262144, 1660709/1048576]]]], [[11, 9
, 1, 6, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [-4, -4], [-1564117/1048576, -391029/
262144], [3, 3]]]], [[11, 10, 7, 9, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(
0 < x,x < 1), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [1/2, 1/2], [5, 5], [-4, -4]]]], [[11, 10, 7, 9, 2
], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(0 < x,x < 1), x+3 < y, z = -(y-x)^(1/
2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [1/2, 1/2]
, [5, 5], [-1112183/524288, -2224365/1048576]]]], [[11, 10, 7, 9, 3], [2^(1/2)
< v, u = -(v^2-2)^(1/2), And(0 < x,x < 1), x+3 < y, And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [
1/2, 1/2], [5, 5], [0, 0]]]], [[11, 10, 7, 9, 4], [2^(1/2) < v, u = -(v^2-2)^(
1/2), And(0 < x,x < 1), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [1/2, 1/2], [5, 5], [2224365/1048576, 
1112183/524288]]]], [[11, 10, 7, 9, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(
0 < x,x < 1), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [1/2, 1/2], [5, 5], [4, 4]]]], [[11, 15, 11, 3, 1]
, [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1 < x, And(0 < y,y < x), z = z],
[regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [2, 2], [1, 1], [
0, 0]]]], [[11, 18, 1, 2, 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, 2, 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, 2, 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, 10, 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 < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [5, 5], [15, 15], [33, 33], [-6, -6]]]], [[11, 21, 10,
7, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = u^2-v^2-1, 2*u^2-2*v^2 < y, z = -(
y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [15, 15], [33, 33], [-\
1112183/262144, -4448731/1048576]]]], [[11, 21, 10, 7, 3], [2^(1/2) < v, (v^2+
2)^(1/2) < u, x = u^2-v^2-1, 2*u^2-2*v^2 < y, And(-(y-u^2+v^2+1)^(1/2) < z,z <
(y-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [5, 5], [15, 15], [33, 33], [0
, 0]]]], [[11, 21, 10, 7, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = u^2-v^2-1,
2*u^2-2*v^2 < y, z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [
15, 15], [33, 33], [4448731/1048576, 1112183/262144]]]], [[11, 21, 10, 7, 5],
[2^(1/2) < v, (v^2+2)^(1/2) < u, x = u^2-v^2-1, 2*u^2-2*v^2 < y, (y-u^2+v^2+1)
^(1/2) < z], [regular_chain, [[3, 3], [5, 5], [15, 15], [33, 33], [6, 6]]]], [
[1, 2, 2, 1, 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], [-5,
-5], [0, 0]]]], [[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 = 0, z = z], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [1, 1], [0, 0], [0, 0]]]], [[1, 8, 1, 7, 1], [v <
-2^(1/2), u = -(v^2-1)^(1/2), x < -2, 0 < y, z < -(y-x)^(1/2)], [regular_chain
, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3, -3], [1, 1], [-3, -3]
]]], [[1, 8, 1, 7, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -2, 0 < y, z = -
(y-x)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304]
, [-3, -3], [1, 1], [-2, -2]]]], [[1, 8, 1, 7, 3], [v < -2^(1/2), u = -(v^2-1)
^(1/2), x < -2, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[-3, -3], [-2965821/1048576, -11863283/4194304], [-3, -3], [1, 1], [0, 0]]]],
[[1, 8, 1, 7, 4], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -2, 0 < y, z = (y-x)^
(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3,
-3], [1, 1], [2, 2]]]], [[1, 8, 1, 7, 5], [v < -2^(1/2), u = -(v^2-1)^(1/2), x
< -2, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [-3, -3], [1, 1], [3, 3]]]], [[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 = x, z < 0], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [2, 2], [2,
2], [-1, -1]]]], [[1, 9, 11, 6, 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, 6, 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, 4, 4, 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
], [-2, -2]]]], [[1, 15, 4, 4, 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
], [-735979/1048576, -1471957/2097152]]]], [[1, 15, 4, 4, 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], [-1/4194304, -1/
4194304]]]], [[1, 15, 4, 4, 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
], [367989/524288, 735979/1048576]]]], [[1, 15, 4, 4, 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], [2, 2]]]], [[1, 17, 4, 8, 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], [-3, -3]]]], [[1, 17, 4, 8, 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], [-1281417/1048576, -160177/131072]]]], [[1, 17, 4, 8,
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], [0, 0
]]]], [[1, 17, 4, 8, 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], [160177/131072, 
1281417/1048576]]]], [[1, 17, 4, 8, 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], [3
, 3]]]], [[1, 21, 4, 1, 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], [-17, -17], [0, 0]]
]], [[2, 1, 9, 7, 1], [v = -2^(1/2), u < -2, And(1 < x,x < u^2-3), And(x < y,y
< u^2+x-1), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [7/2, 7/2], [15/2, 15/2], [-3, -3]]]], [[2, 1, 9, 7, 2], [v
= -2^(1/2), u < -2, And(1 < x,x < u^2-3), And(x < y,y < u^2+x-1), z = -(y-x)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [7/2, 7/
2], [15/2, 15/2], [-2, -2]]]], [[2, 1, 9, 7, 3], [v = -2^(1/2), u < -2, And(1
< x,x < u^2-3), And(x < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [7/2, 7/2], [
15/2, 15/2], [0, 0]]]], [[2, 1, 9, 7, 4], [v = -2^(1/2), u < -2, And(1 < x,x <
u^2-3), And(x < y,y < u^2+x-1), z = (y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [7/2, 7/2], [15/2, 15/2], [2, 2]]]], [[2,
1, 9, 7, 5], [v = -2^(1/2), u < -2, And(1 < x,x < u^2-3), And(x < y,y < u^2+x-\
1), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3
, -3], [7/2, 7/2], [15/2, 15/2], [3, 3]]]], [[2, 10, 3, 3, 1], [v = -2^(1/2),
u = 0, And(-3 < x,x < -1), And(x-1 < y,y < x), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-2, -2], [-5/2, -5/2], [0, 0]]]], [
[2, 11, 11, 2, 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, 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+3, z < -3^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [-4, -4], [-1, -1], [-3, -3]]]], [[2
, 18, 1, 6, 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, 6, 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, 6, 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, 6, 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, 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(0 < y,y < x), z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [1, 1], [0, 0]
]]], [[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+2), z < -(y-x)^(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, 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+2), z = -(y-x)^(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, 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+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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+2), z = (y-x)^(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, 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+2), (y-x)^(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, 1, 7, 1], [And(-2^(1/2) < v,v < -1), u = -v, x < -1, 0 < y,
z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [-2, -2], [1, 1], [-3, -3]]]], [[3, 12, 1,
7, 2], [And(-2^(1/2) < v,v < -1), u = -v, x < -1, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-2, -2], [1, 1], [-1816187/1048576, -3632373/2097152]]]], [
[3, 12, 1, 7, 3], [And(-2^(1/2) < v,v < -1), u = -v, x < -1, 0 < y, And(-(y-x)
^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [1, 1], [-1/4194304, -\
1/4194304]]]], [[3, 12, 1, 7, 4], [And(-2^(1/2) < v,v < -1), u = -v, x < -1, 0
< y, z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1265743/1048576, 1265743/1048576], [-2, -2], [1, 1], [908093/524288, 1816187/
1048576]]]], [[3, 12, 1, 7, 5], [And(-2^(1/2) < v,v < -1), u = -v, x < -1, 0 <
y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [-2, -2], [1, 1], [3, 3]]]], [[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, 0 < y, 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, 7, 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, 0 < y, 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, 7, 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, 0 < y, 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, 7, 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, 0 < y, 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, 7, 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, 0 < y, (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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 1, 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
], [-2, -2], [0, 0]]]], [[4, 5, 4, 9, 1], [v = -1, And(-2^(1/2) < u,u < -1), x
= -1, u^2-1 < y, z < -(y+1)^(1/2)], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [-1, -1], [2, 2], [-3, -3]]]], [[4, 5, 4, 9, 2], [
v = -1, And(-2^(1/2) < u,u < -1), x = -1, u^2-1 < y, z = -(y+1)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1, -1], [2,
2], [-1816187/1048576, -3632373/2097152]]]], [[4, 5, 4, 9, 3], [v = -1, And(-2
^(1/2) < u,u < -1), x = -1, u^2-1 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))],
[regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1, -1], [2,
2], [-1/4194304, -1/4194304]]]], [[4, 5, 4, 9, 4], [v = -1, And(-2^(1/2) < u,u
< -1), x = -1, u^2-1 < y, z = (y+1)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [2, 2], [908093/524288, 1816187/
1048576]]]], [[4, 5, 4, 9, 5], [v = -1, And(-2^(1/2) < u,u < -1), x = -1, u^2-\
1 < y, (y+1)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [2, 2], [3, 3]]]], [[4, 11, 4, 6, 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,
6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = -1, 
And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), And(x < y,y < 0), z < -(y-
x)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-\
3643533/2097152, -3643533/2097152], [-3643533/4194304, -3643533/4194304], [-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(x < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152], [-\
3643533/4194304, -3643533/4194304], [-3909231/4194304, -7818461/8388608]]]], [
[4, 13, 3, 5, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1),
And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1
, -1], [3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152
], [-3643533/4194304, -3643533/4194304], [-5/16777216, -5/16777216]]]], [[4, 
13, 3, 5, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), And
(x < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152,
3299097/2097152], [-3643533/2097152, -3643533/2097152], [-3643533/4194304, -\
3643533/4194304], [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(x < y,y < 0), (y-x
)^(1/2) < z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [
-3643533/2097152, -3643533/2097152], [-3643533/4194304, -3643533/4194304], [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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [-3, -3], [35/8, 35/8], [37/4, 37/4], [-4, -4]]]], [[5, 1, 9, 7, 2
], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(x < y
,y < u^2-v^2+x+1), z = -(y-x)^(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,
7, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(x
< y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[-1/2, -1/2], [-3, -3], [35/8, 35/8], [37/4, 37/4], [0, 0]]]], [[5, 1, 9, 7,
4], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(x <
y,y < u^2-v^2+x+1), z = (y-x)^(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, 7
, 5], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(x
< y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3, -3
], [35/8, 35/8], [37/4, 37/4], [4, 4]]]], [[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 < -(u^2-
v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144]
, [0, 0], [1291597/524288, 2583195/1048576], [-3, -3]]]], [[5, 3, 6, 6, 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], [1291597/524288, 2583195/1048576], [-3291611/
2097152, -1645805/1048576]]]], [[5, 3, 6, 6, 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], [1291597/524288, 2583195/1048576], [0, 0]]]], [[5, 3,
6, 6, 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], [1291597/524288, 2583195/1048576], [
1645805/1048576, 822903/524288]]]], [[5, 3, 6, 6, 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
], [1291597/524288, 2583195/1048576], [3, 3]]]], [[5, 12, 3, 5, 1], [And(-1 <
v,v < 0), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(x < y,y < 0), z < -(y-x)^
(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,
z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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-u^2+v^2+1, z = z], [regular_chain, [[-1/2, -1/2], [3, 3], [9, 9], [5/4, 5/4]
, [0, 0]]]], [[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 < 0, z = z], [regular_chain, [[0, 0], [0, 0], [2,
2], [-1, -1], [0, 0]]]], [[7, 1, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(0
< y,y < 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, 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 < x-u^2+v^2+1), z < -(y-x)^(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 < x-u^2+v^2+1), z = -(y-x)^(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 < x-u^2+v^2+1), And(-(y-x)^(1/2
) < z,z < (y-x)^(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 < x-u^2+v^2+1), z = (y-x)^(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 < x-u^2+v^
2+1), (y-x)^(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, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [-3, -3], [1, 1], [-3, -3]]]], [[7, 9, 1, 9
, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, 0 < y,
z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [-3, -3], [1, 1], [-2, -2]]]], [[7, 9, 1, 9, 3], [And(0 < v,v < 1),
And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, 0 < y, And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152]
, [-3, -3], [1, 1], [0, 0]]]], [[7, 9, 1, 9, 4], [And(0 < v,v < 1), And(v < u,
u < (v^2+1)^(1/2)), x < -u^2+v^2-1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [
[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [1, 1], [2, 2]]]], [
[7, 9, 1, 9, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2
-1, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-3, -3], [1, 1], [3, 3]]]], [[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 = 0, z = z],
[regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [243021/524288, 
486043/1048576], [0, 0], [0, 0]]]], [[7, 13, 5, 5, 1], [And(0 < v,v < 1), (v^2
+2)^(1/2) < u, And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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
(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z <
(y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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(0 < y,y
< x-u^2+2), z = z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [2, 2], [1599345/2097152, 1599345/2097152], [0, 0]]]], [[8, 5, 10, 6
, 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], [
1617841/1048576, 808921/524288], [-2, -2]]]], [[8, 5, 10, 6, 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], [1617841/1048576, 
808921/524288], [-772605/1048576, -1545209/2097152]]]], [[8, 5, 10, 6, 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], [1617841/1048576, 808921/524288], [-1/4194304, -1/4194304]]]], [[8,
5, 10, 6, 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
], [1617841/1048576, 808921/524288], [193151/262144, 772605/1048576]]]], [[8,
5, 10, 6, 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
], [1617841/1048576, 808921/524288], [2, 2]]]], [[8, 11, 10, 1, 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], [-1, -1], [0, 0]]]], [[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-u^2+2, z
= z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [773191/
1048576, 773191/1048576], [275385/1048576, 137693/524288], [0, 0]]]], [[9, 2,
3, 9, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), x+3
< y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-3899297/2097152, -7798593/4194304], [-2, -2], [2, 2], [-3, -3]]]], [[9, 2, 3,
9, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), x+3 <
y, z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [-2, -2], [2, 2], [-2, -2]]]], [[9, 2, 3,
9, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), x+3 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-2, -2], [2, 2], [0,
0]]]], [[9, 2, 3, 9, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-3 <
x,x < -1), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-2, -2], [2, 2], [2,
2]]]], [[9, 2, 3, 9, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-3 <
x,x < -1), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-2, -2], [2, 2], [3,
3]]]], [[9, 4, 1, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x < -2,
And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3], [-2, -2], [-2,
-2]]]], [[9, 4, 1, 3, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x < -2,
And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3], [-2, -2], [-1,
-1]]]], [[9, 4, 1, 3, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x < -2,
And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3
], [-2, -2], [0, 0]]]], [[9, 4, 1, 3, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+1
)^(1/2), x < -2, And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3
], [-2, -2], [1, 1]]]], [[9, 4, 1, 3, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+1
)^(1/2), x < -2, And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3
], [-2, -2], [2, 2]]]], [[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 < 0), z < -(y-x)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3, -3], [-401729/524288, -401729/524288], [-3, -3]]]], [[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 < 0), z = -(y-x)^(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, 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 < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701
/1048576], [-3, -3], [-401729/524288, -401729/524288], [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 < 0), z = (y-x)^(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, 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 < 0), (y-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [-\
401729/524288, -401729/524288], [3, 3]]]], [[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 < x-u^2+v
^2+1, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [-4, -4], [-6, -6], [0, 0]]]], [[10, 1, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6,
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, 4, 2, 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], [-388511/262144, -1554043/1048576], [0, 0]]]], [[
10, 9, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 2, 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, 5, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x < -u^2+1, And(x-u^2+3 < y,
y < u^2+x-1), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-3, -3], [-8388607/4194304, -\
8388607/4194304], [-3, -3]]]], [[10, 15, 1, 5, 2], [v = 2^(1/2), And(v < u,u <
3^(1/2)), x < -u^2+1, And(x-u^2+3 < y,y < u^2+x-1), z = -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-3, -3], [-8388607/4194304, -8388607/4194304], [-1048577/1048576, -\
1]]]], [[10, 15, 1, 5, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x < -u^2+1, 
And(x-u^2+3 < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-3, -3], [-8388607/4194304, -8388607/4194304], [0, 0]]]], [[10, 15,
1, 5, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x < -u^2+1, And(x-u^2+3 < y,y
< u^2+x-1), z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [3299097/2097152, 3299097/2097152], [-3, -3], [-8388607/4194304, -8388607/
4194304], [1, 1048577/1048576]]]], [[10, 15, 1, 5, 5], [v = 2^(1/2), And(v < u
,u < 3^(1/2)), x < -u^2+1, And(x-u^2+3 < y,y < u^2+x-1), (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-3, -3], [-8388607/4194304, -8388607/4194304], [3, 3]]]], [[10, 16,
9, 6, 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, 6, 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, 6, 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, 6, 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, 6,
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, 4, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 11, 2, 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, 10, 2, 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, 11, 1, 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], [-1, -1], [0, 0]]]], [[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 = z], [regular_chain, [[3, 3], [1435023/524288
, 1435023/524288], [-919691/524288, -919691/524288], [-2372419/1048576, -\
1186209/524288], [0, 0]]]], [[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(u^2-v^2-1 < y,y < 2*u^2-2*v^2), z < -(y-u^2+v
^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-\
3161161/2097152, -395145/262144], [-2644589/2097152, -2644589/2097152], [-2, -\
2]]]], [[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(u^2-v^2-1 < y,y < 2*u^2-2*v^2), z = -(y-u^2+v^2+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, 3, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x
= u^2-v^2-1, And(u^2-v^2-1 < y,y < 2*u^2-2*v^2), And(-(y-u^2+v^2+1)^(1/2) < z,
z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-3161161/2097152, -395145/262144], [-2644589/2097152, -2644589/
2097152], [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(u^2-v^2-1 < y,y < 2*u^2-2*v^2), z = (y-u^2+v^2+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, 3, 5], [2^(1/2) < v, And((v^2-1)^(1/2)
< u,u < v), x = u^2-v^2-1, And(u^2-v^2-1 < y,y < 2*u^2-2*v^2), (y-u^2+v^2+1)^(
1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-\
3161161/2097152, -395145/262144], [-2644589/2097152, -2644589/2097152], [2, 2]
]]], [[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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [-1, -1], [391655/262144, 1566621/1048576],
[-3, -3]]]], [[11, 19, 4, 8, 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], [391655/262144, 1566621/
1048576], [-1655969/1048576, -3311937/2097152]]]], [[11, 19, 4, 8, 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], [391655/262144, 1566621/1048576], [-1/
4194304, -1/4194304]]]], [[11, 19, 4, 8, 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], [391655/
262144, 1566621/1048576], [51749/32768, 1655969/1048576]]]], [[11, 19, 4, 8, 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], [391655/262144, 1566621/1048576], [3, 3]]]], [[11, 21, 2,
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 =
z], [regular_chain, [[3, 3], [5, 5], [-17, -17], [-32, -32], [0, 0]]]], [[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(
x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-403851
/131072, -403851/131072], [-3, -3], [-720033/262144, -720033/262144], [-2, -2]
]]], [[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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3
], [-403851/131072, -403851/131072], [-3, -3], [-720033/262144, -720033/262144
], [-527729/1048576, -1055457/2097152]]]], [[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(x < y,y < x-u^2+v^2+1), And
(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-3, -3], [-720033/262144, -720033/262144], [-1/
4194304, -1/4194304]]]], [[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(x < y,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-3, -3], [-720033
/262144, -720033/262144], [32983/65536, 527729/1048576]]]], [[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(x < y,y < x-
u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-3, -3], [-720033/262144, -720033/262144], [2, 2]]]], [[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(x-u
^2+v^2+1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-3, -3], [-1565147/2097152, -1565147/2097152], [-\
3, -3]]]], [[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(x-u^2+v^2+1 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[-3
, -3], [-6111549/2097152, -6111549/2097152], [-3, -3], [-1565147/2097152, -\
1565147/2097152], [-787075/524288, -3148299/2097152]]]], [[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(x-u^2+v^2+1 < y,
y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-3, -3], [-1565147/2097152, -1565147/
2097152], [-1/4194304, -1/4194304]]]], [[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(x-u^2+v^2+1 < y,y < 0), z = (y-x)^
(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3,
-3], [-1565147/2097152, -1565147/2097152], [1574149/1048576, 787075/524288]]]]
, [[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(x-u^2+v^2+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-3, -3], [-1565147/2097152, -1565147/
2097152], [3, 3]]]], [[1, 10, 9, 9, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), 1 <
x, x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -\
2774271/1048576], [2, 2], [6, 6], [-3, -3]]]], [[1, 10, 9, 9, 2], [v < -2^(1/2
), u = -(v^2-2)^(1/2), 1 < x, x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3
, -3], [-5548543/2097152, -2774271/1048576], [2, 2], [6, 6], [-2, -2]]]], [[1,
10, 9, 9, 3], [v < -2^(1/2), u = -(v^2-2)^(1/2), 1 < x, x+3 < y, And(-(y-x)^(1
/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-5548543/2097152, -\
2774271/1048576], [2, 2], [6, 6], [0, 0]]]], [[1, 10, 9, 9, 4], [v < -2^(1/2),
u = -(v^2-2)^(1/2), 1 < x, x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3
], [-5548543/2097152, -2774271/1048576], [2, 2], [6, 6], [2, 2]]]], [[1, 10, 9
, 9, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), 1 < x, x+3 < y, (y-x)^(1/2) < z],
[regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [2, 2], [6, 6
], [3, 3]]]], [[1, 12, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 20, 1, 8, 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, 8, 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, 8, 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, 8,
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, 8, 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, 1, 1], [v = -2^(1/2), u = -2, x = 1, y
< 0, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [1
, 1], [-1, -1], [0, 0]]]], [[2, 4, 6, 1, 1], [v = -2^(1/2), u = -3^(1/2), x =
0, y < 0, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1816187/1048576, -3632373/2097152], [0, 0], [-1, -1], [0, 0]]]], [[2, 7, 6, 1,
1], [v = -2^(1/2), And(v < u,u < -1), x = -u^2+1, y < -u^2+1, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-479311/1048576, -239655/524288], [-2, -2], [0, 0]]]], [[2,
9, 4, 9, 1], [v = -2^(1/2), And(-1 < u,u < 0), x = -1, -u^2+2 < y, z < -(y+1)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1
, -1], [3, 3], [-3, -3]]]], [[2, 9, 4, 9, 2], [v = -2^(1/2), And(-1 < u,u < 0)
, x = -1, -u^2+2 < y, z = -(y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-1, -1], [3, 3], [-2, -2]]]], [[2, 9, 4, 9, 3],
[v = -2^(1/2), And(-1 < u,u < 0), x = -1, -u^2+2 < y, And(-(y+1)^(1/2) < z,z <
(y+1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/
2], [-1, -1], [3, 3], [0, 0]]]], [[2, 9, 4, 9, 4], [v = -2^(1/2), And(-1 < u,u
< 0), x = -1, -u^2+2 < y, z = (y+1)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [-1/2, -1/2], [-1, -1], [3, 3], [2, 2]]]], [[2, 9, 4, 9, 5]
, [v = -2^(1/2), And(-1 < u,u < 0), x = -1, -u^2+2 < y, (y+1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1, -1], [3
, 3], [3, 3]]]], [[2, 13, 4, 2, 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, 2, 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, 2, 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, 4,
6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-3, -3], [0, 0], [-13721443/2097152, -6860721/1048576], [0, 0]]]], [[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(x-u^2+v^2+1 < y,y < x), z = z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608
], [-3647693/2097152, -3647693/2097152], [-8299317/4194304, -8299317/4194304],
[0, 0]]]], [[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-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [897307/1048576, 
224327/262144], [-3, -3]]]], [[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-u^2+v^2+1, z = -(
-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-1498947/2097152, -1498947/2097152], [
897307/1048576, 224327/262144], [-1314069/1048576, -328517/262144]]]], [[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-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], [-1498947/2097152, -1498947/2097152], [897307/
1048576, 224327/262144], [0, 0]]]], [[3, 7, 5, 8, 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 = x-u^2+v^2+1,
z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-3949363/4194304, -3949363/4194304], [-1498947/2097152, -1498947/2097152],
[897307/1048576, 224327/262144], [328517/262144, 1314069/1048576]]]], [[3, 7,
5, 8, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
1498947/2097152, -1498947/2097152], [897307/1048576, 224327/262144], [3, 3]]]]
, [[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(0 < y,y < -u^2+v^2), z < -(y+1)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [763943/1048576, 
763943/1048576], [-3, -3]]]], [[3, 9, 4, 7, 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 < -u^2+v^2), z = -
(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [
-1, -1], [763943/1048576, 763943/1048576], [-689305/524288, -1378609/1048576]]
]], [[3, 9, 4, 7, 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 < -u^2+v^2), And(-(y+1)^(1/2) < z,z < (y+1)^
(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1, -\
1], [763943/1048576, 763943/1048576], [0, 0]]]], [[3, 9, 4, 7, 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
< -u^2+v^2), z = (y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [-1, -1], [763943/1048576, 763943/1048576], [1378609/1048576
, 689305/524288]]]], [[3, 9, 4, 7, 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 < -u^2+v^2), (y+1)^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [
763943/1048576, 763943/1048576], [3, 3]]]], [[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 < -(y-1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1, 1], [11, 11]
, [-5, -5]]]], [[3, 17, 8, 9, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u
, x = 1, u^2-v^2+2 < y, z = -(y-1)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [3, 3], [1, 1], [11, 11], [-3315889/1048576, -207243/65536]
]]], [[3, 17, 8, 9, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 1, u
^2-v^2+2 < y, 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, 9, 4], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 1, u^2-v^2+2 <
y, z = (y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3
, 3], [1, 1], [11, 11], [207243/65536, 3315889/1048576]]]], [[3, 17, 8, 9, 5],
[And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 1, u^2-v^2+2 < y, (y-1)^(1/2
) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1, 1],
[11, 11], [5, 5]]]], [[4, 2, 3, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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
, 3, 7, 1], [v = -1, u = -1, And(-1 < x,x < 0), x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1, -1], [-1/2, -1/2], [2, 2], [-3, -3]]]], [[4, 6,
3, 7, 2], [v = -1, u = -1, And(-1 < x,x < 0), x+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1, -1], [-1/2, -1/2], [2, 2], [-3315889/2097152, -\
207243/131072]]]], [[4, 6, 3, 7, 3], [v = -1, u = -1, And(-1 < x,x < 0), x+1 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-1, -1]
, [-1/2, -1/2], [2, 2], [0, 0]]]], [[4, 6, 3, 7, 4], [v = -1, u = -1, And(-1 <
x,x < 0), x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [-1/
2, -1/2], [2, 2], [207243/131072, 1657945/1048576]]]], [[4, 6, 3, 7, 5], [v =
-1, u = -1, And(-1 < x,x < 0), x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1
, -1], [-1, -1], [-1/2, -1/2], [2, 2], [3, 3]]]], [[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+3, z < -3^(1/2)], [regular_chain, [[-1, -1], [908093/
524288, 1816187/1048576], [-4, -4], [-1, -1], [-3, -3]]]], [[4, 14, 1, 6, 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, 6, 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,
6, 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, 6, 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, 5, 1], [v = -1, 3^(1/2) < u, And(1 < x
,x < u^2-2), And(0 < y,y < x), 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 < 0, z = z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -\
1172343/1048576], [0, 0], [-1, -1], [0, 0]]]], [[5, 6, 4, 5, 1], [And(-1 < v,v
< 0), u = v, x = 0, 1 < y, z < -y^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2
, -1/2], [0, 0], [2, 2], [-3, -3]]]], [[5, 6, 4, 5, 2], [And(-1 < v,v < 0), u
= v, x = 0, 1 < y, 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, 5, 3], [And(
-1 < v,v < 0), u = v, x = 0, 1 < y, 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, 5, 4], [And(-1 < v,v < 0), u = v, x = 0, 1 < y, 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, 5, 5], [And(-1 < v,v < 0), u = v, x = 0, 1 < y
, y^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [2, 2], [
3, 3]]]], [[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(u^2-v^2-1 < y,y < 0), z < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-624419/
1048576, -1248837/2097152], [-1248837/4194304, -1248837/4194304], [-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(u^2-v^2-1 < y,y < 0), z = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [1696631/2097152, 1696631/2097152], [-624419/1048576, -1248837/
2097152], [-1248837/4194304, -1248837/4194304], [-1144335/2097152, -572167/
1048576]]]], [[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(u^2-v^2-1 < y,y < 0), And(-(y-u^2+v^2+1)^(1/2) < z,z <
(y-u^2+v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-624419/1048576, -1248837/2097152], [-1248837/4194304, -\
1248837/4194304], [0, 0]]]], [[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(u^2-v^2-1 < y,y < 0), z = (y-u^2+v^2+1)
^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-\
624419/1048576, -1248837/2097152], [-1248837/4194304, -1248837/4194304], [
572167/1048576, 71521/131072]]]], [[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(u^2-v^2-1 < y,y < 0), (y-u^2+v^2+1)
^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152]
, [-624419/1048576, -1248837/2097152], [-1248837/4194304, -1248837/4194304], [
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 = x-u^2+v^2+1, z = z], [regular_chain, [[-1/
2, -1/2], [343151/262144, 343151/262144], [-1/2, -1/2], [-4041321/4194304, -\
16165283/16777216], [0, 0]]]], [[6, 1, 11, 6, 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, 6, 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, 6, 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, 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 < -(y-u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [239655/524288,
479311/1048576], [883771/524288, 883771/524288], [-3, -3]]]], [[6, 3, 8, 5, 2]
, [v = 0, And(-2^(1/2) < u,u < -1), x = u^2-1, And(u^2-1 < y,y < 2*u^2), z = -
(y-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576
], [239655/524288, 479311/1048576], [883771/524288, 883771/524288], [-1162243/
1048576, -581121/524288]]]], [[6, 3, 8, 5, 3], [v = 0, And(-2^(1/2) < u,u < -1
), x = u^2-1, And(u^2-1 < y,y < 2*u^2), And(-(y-u^2+1)^(1/2) < z,z < (y-u^2+1)
^(1/2))], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [
239655/524288, 479311/1048576], [883771/524288, 883771/524288], [0, 0]]]], [[6
, 3, 8, 5, 4], [v = 0, And(-2^(1/2) < u,u < -1), x = u^2-1, And(u^2-1 < y,y <
2*u^2), z = (y-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -\
1265743/1048576], [239655/524288, 479311/1048576], [883771/524288, 883771/
524288], [581121/524288, 1162243/1048576]]]], [[6, 3, 8, 5, 5], [v = 0, And(-2
^(1/2) < u,u < -1), x = u^2-1, And(u^2-1 < y,y < 2*u^2), (y-u^2+1)^(1/2) < z],
[regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [239655/524288,
479311/1048576], [883771/524288, 883771/524288], [3, 3]]]], [[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(x < y,y < 0), z <
-(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x
)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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), u^2-v^
2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -\
343151/262144], [1534619/2097152, 1534619/2097152], [5, 5], [-4, -4]]]], [[7,
3, 9, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [1534619/2097152
, 1534619/2097152], [5, 5], [0, 0]]]], [[7, 3, 9, 9, 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), u^2-v^2+
x+1 < y, z = (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, (y-x)^(1/2) <
z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [1534619/
2097152, 1534619/2097152], [5, 5], [4, 4]]]], [[7, 5, 8, 6, 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]
, [1472733/1048576, 736367/524288], [-3, -3]]]], [[7, 5, 8, 6, 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], [1472733/1048576, 736367/524288], [-19417/16384, -1242687/1048576]]]], [
[7, 5, 8, 6, 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], [1472733/1048576, 
736367/524288], [0, 0]]]], [[7, 5, 8, 6, 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], [1472733/1048576,
736367/524288], [1242687/1048576, 19417/16384]]]], [[7, 5, 8, 6, 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], [1472733/1048576, 736367/524288], [3, 3]]]], [[8, 1, 3, 4, 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, 4, 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, 4, 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, 7, 1], [v = 1, u = -3^(1/2), 1 < x, And(x < y,y < x+3
), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/
2097152], [2, 2], [7/2, 7/2], [-3, -3]]]], [[8, 2, 9, 7, 2], [v = 1, u = -3^(1
/2), 1 < x, And(x < y,y < x+3), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [2, 2], [7/2, 7/2], [-1284239/1048576, -\
642119/524288]]]], [[8, 2, 9, 7, 3], [v = 1, u = -3^(1/2), 1 < x, And(x < y,y
< x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [2, 2], [7/2, 7/2], [0, 0]]]], [[8, 2, 9,
7, 4], [v = 1, u = -3^(1/2), 1 < x, And(x < y,y < x+3), z = (y-x)^(1/2)], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [2, 2], [7/2, 7/
2], [642119/524288, 1284239/1048576]]]], [[8, 2, 9, 7, 5], [v = 1, u = -3^(1/2
), 1 < x, And(x < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [2, 2], [7/2, 7/2], [3, 3]]]], [[8, 7, 3,
1, 1], [v = 1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), y < x, z = z], [
regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [-3, -3], [0, 0]]]], [[8
, 9, 2, 2, 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, 2, 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, 2, 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, 1, 1], [v = 1, u = 3^(1/2), And(0 < x,x < 1), y < x-1, z = z], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [1/2, 1/2], [-2, -2]
, [0, 0]]]], [[9, 1, 4, 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, 4, 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, 4,
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, 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 = 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, 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 = 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, 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 = 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, 1, 1], [And(1 < v,v < 2^(1/2))
, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y < -1, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1,
-1], [-2, -2], [0, 0]]]], [[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 = 0, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [1, 1], [0, 0], [0, 0]]]], [[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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [
1498947/2097152, 1498947/2097152], [-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(x < y,y < u^
2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [1498947/2097152, 
1498947/2097152], [-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(x
< y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [1/2, 1
/2], [1498947/2097152, 1498947/2097152], [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(x < y,y
< u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [1498947/2097152, 
1498947/2097152], [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(x < y,
y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [1498947/2097152, 
1498947/2097152], [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 = x, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [2, 2], [2,
2], [-1, -1]]]], [[9, 15, 11, 6, 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, 6, 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, 9, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 1, u^2-v^2+2
< y, z < -(y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
3, 3], [1, 1], [11, 11], [-5, -5]]]], [[9, 17, 8, 9, 2], [And(1 < v,v < 2^(1/2
)), (v^2+2)^(1/2) < u, x = 1, u^2-v^2+2 < y, z = -(y-1)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [3, 3], [1, 1], [11, 11], [-3315889/
1048576, -207243/65536]]]], [[9, 17, 8, 9, 3], [And(1 < v,v < 2^(1/2)), (v^2+2
)^(1/2) < u, x = 1, u^2-v^2+2 < y, 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, 9, 4], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x =
1, u^2-v^2+2 < y, z = (y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [3, 3], [1, 1], [11, 11], [207243/65536, 3315889/1048576]]]], [[9,
17, 8, 9, 5], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 1, u^2-v^2+2 < y
, (y-1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3
], [1, 1], [11, 11], [5, 5]]]], [[10, 5, 10, 3, 1], [v = 2^(1/2), And(-3^(1/2)
< u,u < -v), x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[741455/524288,
1482911/1048576], [-6598195/4194304, -6598195/4194304], [1, 1], [1/2, 1/2], [0
, 0]]]], [[10, 7, 11, 2, 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, 9, 1], [v = 2^(1/2),
And(0 < u,u < 1), And(-u^2+1 < x,x < 1), x-u^2+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [7/8, 7/8], [5,
5], [-4, -4]]]], [[10, 11, 9, 9, 2], [v = 2^(1/2), And(0 < u,u < 1), And(-u^2+
1 < x,x < 1), x-u^2+3 < y, z = -(y-x)^(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, 9, 3], [v = 2^(1/2), And(0 < u,u < 1), And(-u^2+1 <
x,x < 1), x-u^2+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[741455/524288, 1482911/1048576], [1/2, 1/2], [7/8, 7/8], [5, 5], [0, 0]]]],
[[10, 11, 9, 9, 4], [v = 2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), x-u
^2+3 < y, z = (y-x)^(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, 9, 5], [v = 2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), x-u^2+3 < y,
(y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2
], [7/8, 7/8], [5, 5], [4, 4]]]], [[10, 13, 9, 3, 1], [v = 2^(1/2), And(1 < u,
u < v), And(0 < x,x < 1), And(0 < y,y < x), z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [1/4
, 1/4], [0, 0]]]], [[11, 2, 9, 1, 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], [-1, -1], [0, 0]]]], [[11, 4, 7, 7, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2
), And(0 < x,x < 1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-\
3315889/1048576, -207243/65536], [1/2, 1/2], [4, 4], [-3, -3]]]], [[11, 4, 7,
7, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(0 < x,x < 1), x+2 < y, z = -(y-x)
^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [1/2, 1/2
], [4, 4], [-7846825/4194304, -980853/524288]]]], [[11, 4, 7, 7, 3], [2^(1/2)
< v, u = -(v^2+1)^(1/2), And(0 < x,x < 1), x+2 < y, And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [1/2
, 1/2], [4, 4], [0, 0]]]], [[11, 4, 7, 7, 4], [2^(1/2) < v, u = -(v^2+1)^(1/2)
, And(0 < x,x < 1), x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-\
3315889/1048576, -207243/65536], [1/2, 1/2], [4, 4], [980853/524288, 1961707/
1048576]]]], [[11, 4, 7, 7, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(0 < x,x
< 1), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-3315889/1048576, -\
207243/65536], [1/2, 1/2], [4, 4], [3, 3]]]], [[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-u^2+v^2+1 < y
,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [-4, -4], [-391029/524288, -391029/524288], [-3, -3]]]], [[
11, 9, 1, 7, 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(x-u^2+v^2+1 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[3,
3], [-22960369/8388608, -22960369/8388608], [-4, -4], [-391029/524288, -391029
/524288], [-7566241/4194304, -236445/131072]]]], [[11, 9, 1, 7, 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(x-u^2+v^2+1
< y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [
-22960369/8388608, -22960369/8388608], [-4, -4], [-391029/524288, -391029/
524288], [0, 0]]]], [[11, 9, 1, 7, 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(x-u^2+v^2+1 < y,y < 0), z = (y-x)^(1/2)]
, [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-4, -4], [
-391029/524288, -391029/524288], [236445/131072, 1891561/1048576]]]], [[11, 9,
1, 7, 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(x-u^2+v^2+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [-4, -4], [-391029/524288, -391029/
524288], [3, 3]]]], [[11, 10, 8, 1, 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], [-1, -1], [0, 0]]]], [[11, 15, 11, 2, 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, 1, 1], [2^(
1/2) < v, u = (v^2+1)^(1/2), x < -2, y < x, z = z], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [-3, -3], [-4, -4], [0, 0]]]], [[11, 21, 11, 1
, 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], [-1, -1], [0, 0]]]], [[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 = x-u^2+v^2
+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-3, -3], [-326817/131072, -2614535/1048576], [-2, -2]]]], [[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
= x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-3, -3], [-326817/131072, -2614535/1048576], [-\
373161/524288, -1492643/2097152]]]], [[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 = x-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], [-3, -3], [-326817/131072, -2614535/1048576], [-1/4194304, -1/
4194304]]]], [[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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3,
-3], [-403851/131072, -403851/131072], [-3, -3], [-326817/131072, -2614535/
1048576], [746321/1048576, 373161/524288]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(
1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-3, -\
3], [-326817/131072, -2614535/1048576], [2, 2]]]], [[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(u^2-v^2-1 < y,y < 2*u^
2-2*v^2), z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-3161161/2097152, -395145/262144], [-2644589/
2097152, -2644589/2097152], [-2, -2]]]], [[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(u^2-v^2-1 < y,y < 2*u^2-2*v^2),
z = -(y-u^2+v^2+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, 3, 3], [v < -
2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, And(u^2-v^2-1 < y,y < 2
*u^2-2*v^2), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3161161/
2097152, -395145/262144], [-2644589/2097152, -2644589/2097152], [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(u^2-v^2-1 < y,y < 2*u^2-2*v^2), z = (y-u^2+v^2+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, 3, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2
-1, And(u^2-v^2-1 < y,y < 2*u^2-2*v^2), (y-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3161161/
2097152, -395145/262144], [-2644589/2097152, -2644589/2097152], [2, 2]]]], [[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(u^2-v^2+x+1 < y,y < x), z = z], [regular_chain, [[-3, -3], [0,
0], [-11, -11], [-15, -15], [0, 0]]]], [[1, 12, 7, 6, 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,
6, 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, 6, 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, 3, 7, 1], [v < -2^(1/2), u = (v^2+
1)^(1/2), And(-2 < x,x < -1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3
, -3], [207243/65536, 3315889/1048576], [-3/2, -3/2], [2, 2], [-3, -3]]]], [[1
, 18, 3, 7, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y,
z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576],
[-3/2, -3/2], [2, 2], [-7846825/4194304, -980853/524288]]]], [[1, 18, 3, 7, 3]
, [v < -2^(1/2), u = (v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y, And(-(y-x)^(1
/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [207243/65536, 3315889/
1048576], [-3/2, -3/2], [2, 2], [0, 0]]]], [[1, 18, 3, 7, 4], [v < -2^(1/2), u
= (v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y, z = (y-x)^(1/2)], [regular_chain
, [[-3, -3], [207243/65536, 3315889/1048576], [-3/2, -3/2], [2, 2], [980853/
524288, 1961707/1048576]]]], [[1, 18, 3, 7, 5], [v < -2^(1/2), u = (v^2+1)^(1/
2), And(-2 < x,x < -1), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3],
[207243/65536, 3315889/1048576], [-3/2, -3/2], [2, 2], [3, 3]]]], [[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(0 < y,y < x), 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, 3, 1], [v = -2^(1/2), And(v < u,u < -1
), And(-1 < x,x < -u^2+1), And(x < y,y < u^2+x-1), z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1527887/2097152, -1527887/2097152], [-2097153/4194304, -\
2097153/4194304], [-2, -2]]]], [[2, 7, 5, 3, 2], [v = -2^(1/2), And(v < u,u <
-1), And(-1 < x,x < -u^2+1), And(x < y,y < u^2+x-1), z = -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1527887/2097152, -1527887/2097152], [-2097153/4194304, -\
2097153/4194304], [-31331/65536, -501295/1048576]]]], [[2, 7, 5, 3, 3], [v = -
2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1), And(x < y,y < u^2+x-1), 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -\
1527887/2097152], [-2097153/4194304, -2097153/4194304], [0, 0]]]], [[2, 7, 5,
3, 4], [v = -2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1), And(x < y,y <
u^2+x-1), z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152],
[-2097153/4194304, -2097153/4194304], [501295/1048576, 31331/65536]]]], [[2, 7
, 5, 3, 5], [v = -2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1), And(x <
y,y < u^2+x-1), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/
2097152], [-2097153/4194304, -2097153/4194304], [2, 2]]]], [[2, 9, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6
, 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, 6, 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, 6, 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, 4, 5, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -1, And(
-u^2+2 < y,y < 0), z < -(y+1)^(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(-u^2+2 < y,y < 0), z = -(y+1)^(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(-
u^2+2 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-u^2+2 < y,y < 0),
z = (y+1)^(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(-u^2+2 < y,y < 0), (y+1)^(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 = x
, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1
/2, -1/2], [-1/2, -1/2], [-1, -1]]]], [[3, 1, 5, 4, 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, 4, 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, 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 < -(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, 7, 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, 0 < y, 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, 7, 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, 0 < y,
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, 7, 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, 0 < y, 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, 7, 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, 0 < y, (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, 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(x
< y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/2097152, -\
1498947/2097152], [-2097153/4194304, -2097153/4194304], [-2, -2]]]], [[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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304],
[-1498947/2097152, -1498947/2097152], [-2097153/4194304, -2097153/4194304], [-\
242963/524288, -485925/1048576]]]], [[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(x < y,y < u^
2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/
2097152, -1498947/2097152], [-2097153/4194304, -2097153/4194304], [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(x < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [-2097153/4194304, -\
2097153/4194304], [485925/1048576, 242963/524288]]]], [[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(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/
2097152, -1498947/2097152], [-2097153/4194304, -2097153/4194304], [2, 2]]]], [
[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 = 0, z < -1], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [-1, -1], [0, 0], [-2, -2]]]], [[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 = 0, z =
-1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1, -1],
[0, 0], [-1, -1]]]], [[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 = 0, And(-1 < z,z < 1)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [0, 0]
, [0, 0]]]], [[3, 9, 4, 6, 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, 6,
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, 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(x-u^2+v^2+1 < y,y < 0), z = z
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [7909297/
2097152, 7909297/2097152], [-11624291/8388608, -11624291/8388608], [0, 0]]]],
[[4, 2, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 1, 1], [v = -1, u =
-1, x = 0, y < 0, z = z], [regular_chain, [[-1, -1], [-1, -1], [0, 0], [-1, -1
], [0, 0]]]], [[4, 8, 5, 2, 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, 2, 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, 2, 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, 1, 9, 1], [
v = -1, u = 3^(1/2), x < -3, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -\
1], [908093/524288, 1816187/1048576], [-4, -4], [1, 1], [-4, -4]]]], [[4, 14,
1, 9, 2], [v = -1, u = 3^(1/2), x < -3, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-4, -4], [1, 1],
[-146543/65536, -2344687/1048576]]]], [[4, 14, 1, 9, 3], [v = -1, u = 3^(1/2),
x < -3, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -\
1], [908093/524288, 1816187/1048576], [-4, -4], [1, 1], [0, 0]]]], [[4, 14, 1,
9, 4], [v = -1, u = 3^(1/2), x < -3, 0 < y, z = (y-x)^(1/2)], [regular_chain,
[[-1, -1], [908093/524288, 1816187/1048576], [-4, -4], [1, 1], [2344687/
1048576, 146543/65536]]]], [[4, 14, 1, 9, 5], [v = -1, u = 3^(1/2), x < -3, 0
< y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [-4, -4], [1, 1], [4, 4]]]], [[4, 15, 10, 3, 1], [v = -1, 3^(1/2) <
u, x = u^2-2, And(0 < y,y < u^2-2), z = z], [regular_chain, [[-1, -1], [3, 3],
[7, 7], [7/2, 7/2], [0, 0]]]], [[5, 4, 6, 2, 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, 2, 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, 2, 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, 5, 1], [And(-1 < v,v < 0), u = v, And(0 < x,x < 1),
And(x < y,y < x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -\
1/2], [1/2, 1/2], [1, 1], [-2, -2]]]], [[5, 6, 5, 5, 2], [And(-1 < v,v < 0), u
= v, And(0 < x,x < 1), And(x < y,y < x+1), z = -(y-x)^(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, 5, 3], [And(-1 < v,v < 0), u = v, And(0 < x,x < 1), 
And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
-1/2, -1/2], [-1/2, -1/2], [1/2, 1/2], [1, 1], [0, 0]]]], [[5, 6, 5, 5, 4], [
And(-1 < v,v < 0), u = v, And(0 < x,x < 1), And(x < y,y < x+1), z = (y-x)^(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, 5, 5], [And(-1 < v,v < 0), u = v, And(0 <
x,x < 1), And(x < y,y < x+1), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2],
[-1/2, -1/2], [1/2, 1/2], [1, 1], [2, 2]]]], [[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(0 < y,y < u^
2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152
, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [636235/2097152, 
636235/2097152], [-3, -3]]]], [[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(0 < y,y < u^2-v^2+x+1), z
= -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [-1672995/2097152, -1672995/2097152], [636235/2097152, 636235/
2097152], [-1100319/1048576, -550159/524288]]]], [[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(0 < y,y
< u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2
, -1/2], [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/
2097152], [636235/2097152, 636235/2097152], [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(0
< y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [
636235/2097152, 636235/2097152], [550159/524288, 1100319/1048576]]]], [[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(0 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-1/2
, -1/2], [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/
2097152], [636235/2097152, 636235/2097152], [3, 3]]]], [[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
< x-u^2+v^2+1, z = z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[6, 1, 10, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 8, 2, 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, 5, 8, 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], [
1026087/524288, 2052175/1048576], [-3, -3]]]], [[6, 9, 5, 8, 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], [
1026087/524288, 2052175/1048576], [-410915/262144, -3287319/2097152]]]], [[6,
9, 5, 8, 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], [1026087/524288, 2052175/1048576], [-\
1/4194304, -1/4194304]]]], [[6, 9, 5, 8, 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], [1026087/524288, 2052175/
1048576], [1643659/1048576, 410915/262144]]]], [[6, 9, 5, 8, 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], [
1026087/524288, 2052175/1048576], [3, 3]]]], [[6, 11, 3, 4, 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, 4, 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, 4, 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, 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 = 0, z
= z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [1534619/
2097152, 1534619/2097152], [0, 0], [0, 0]]]], [[7, 5, 8, 3, 1], [And(0 < v,v <
1), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, And(0 < y,y < -u^2+v^2+1), z < -y^(
1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [0,
0], [312209/1048576, 312209/1048576], [-2, -2]]]], [[7, 5, 8, 3, 2], [And(0 <
v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, And(0 < y,y < -u^2+v^2+1), z
= -y^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152]
, [0, 0], [312209/1048576, 312209/1048576], [-572167/1048576, -1144333/2097152
]]]], [[7, 5, 8, 3, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x =
0, And(0 < 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], [312209/1048576, 
312209/1048576], [-1/4194304, -1/4194304]]]], [[7, 5, 8, 3, 4], [And(0 < v,v <
1), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, And(0 < y,y < -u^2+v^2+1), z = y^(1
/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [0, 0
], [312209/1048576, 312209/1048576], [286083/524288, 572167/1048576]]]], [[7,
5, 8, 3, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, And(0 <
y,y < -u^2+v^2+1), y^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [0, 0], [312209/1048576, 312209/1048576], [2, 2]]]
], [[8, 1, 3, 9, 1], [v = 1, u < -3^(1/2), And(-u^2 < x,x < -1), u^2+x < y, z
< -(y-x)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-5, -5], [5, 5], [-5, -5]
]]], [[8, 1, 3, 9, 2], [v = 1, u < -3^(1/2), And(-u^2 < x,x < -1), u^2+x < y,
z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-5, -5], [5, 5], [-\
3315889/1048576, -207243/65536]]]], [[8, 1, 3, 9, 3], [v = 1, u < -3^(1/2), 
And(-u^2 < x,x < -1), u^2+x < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [-3, -3], [-5, -5], [5, 5], [0, 0]]]], [[8, 1, 3, 9, 4
], [v = 1, u < -3^(1/2), And(-u^2 < x,x < -1), u^2+x < y, z = (y-x)^(1/2)], [
regular_chain, [[1, 1], [-3, -3], [-5, -5], [5, 5], [207243/65536, 3315889/
1048576]]]], [[8, 1, 3, 9, 5], [v = 1, u < -3^(1/2), And(-u^2 < x,x < -1), u^2
+x < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-3, -3], [-5, -5], [5, 5],
[5, 5]]]], [[8, 2, 9, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 3, 8, 1], [v = 1, And(
-1 < u,u < 0), And(u^2-2 < x,x < -1), y = x-u^2+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, 8, 2], [v = 1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), y = x-u^2+
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, 8, 3], [v = 1, 
And(-1 < u,u < 0), And(u^2-2 < x,x < -1), y = x-u^2+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, 8, 4], [v = 1, And(-1 < u,u < 0), And(u^2-2
< x,x < -1), y = x-u^2+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
, 8, 5], [v = 1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), y = x-u^2+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, 5, 1], [v = 1, And(0 < u,u < 1), x = u^2-2, And(2*u^
2-2 < y,y < 0), z < -(y-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-\
7/4, -7/4], [-3/4, -3/4], [-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 < 0), z = -(y-u^2+2)^(1/2)], [regular_chain,
[[1, 1], [1/2, 1/2], [-7/4, -7/4], [-3/4, -3/4], [-1, -1]]]], [[8, 9, 2, 5, 3]
, [v = 1, And(0 < u,u < 1), x = u^2-2, And(2*u^2-2 < y,y < 0), And(-(y-u^2+2)^
(1/2) < z,z < (y-u^2+2)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2], [-7/4, -\
7/4], [-3/4, -3/4], [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 < 0), z = (y-u^2+2)^(1/2)], [regular_chain, [[1, 1],
[1/2, 1/2], [-7/4, -7/4], [-3/4, -3/4], [1, 1]]]], [[8, 9, 2, 5, 5], [v = 1, 
And(0 < u,u < 1), x = u^2-2, And(2*u^2-2 < y,y < 0), (y-u^2+2)^(1/2) < z], [
regular_chain, [[1, 1], [1/2, 1/2], [-7/4, -7/4], [-3/4, -3/4], [2, 2]]]], [[8
, 14, 7, 6, 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, 6, 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, 6, 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, 5, 1], [And(1 < v,v < 2^(1/2))
, u < -(v^2+2)^(1/2), x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
646847/524288, -646847/524288], [2, 2], [-3, -3]]]], [[9, 5, 3, 9, 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),
u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
646847/524288, -646847/524288], [2, 2], [0, 0]]]], [[9, 5, 3, 9, 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), u^
2-v^2+x+1 < y, z = (y-x)^(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, 9, 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),
u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-646847/524288, -646847/
524288], [2, 2], [3, 3]]]], [[9, 7, 4, 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, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1, -1], [-1196411/2097152, -598205/1048576], [-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 = 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], [-1374407/2097152, -687203/1048576]]]], [[9, 7, 4,
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, 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, 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, z = (u^
2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-1, -1], [-1196411/2097152, -598205/
1048576], [687203/1048576, 171801/262144]]]], [[9, 7, 4, 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, (u^2-v^2+1)^(1/
2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-1, -1], [-1196411/2097152, -598205/1048576], [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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [1527887/
2097152, 1527887/2097152], [1670203/524288, 3340407/1048576], [-3, -3]]]], [[9
, 9, 9, 8, 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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [1527887/2097152,
1527887/2097152], [1670203/524288, 3340407/1048576], [-410915/262144, -3287319
/2097152]]]], [[9, 9, 9, 8, 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-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], [1527887/2097152, 1527887/2097152], [1670203/524288,
3340407/1048576], [-1/4194304, -1/4194304]]]], [[9, 9, 9, 8, 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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152], [
1670203/524288, 3340407/1048576], [1643659/1048576, 410915/262144]]]], [[9, 9,
9, 8, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [1527887/2097152,
1527887/2097152], [1670203/524288, 3340407/1048576], [3, 3]]]], [[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 < -u^2+v^2+1), z < -y^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [0, 0], [1, 1], [-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 < -u^2+v^2+1), z = -y^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [0, 0], [
1, 1], [-1, -1]]]], [[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 < -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], [1, 1], [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 < -
u^2+v^2+1), z = y^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[987341/1048576, 987341/1048576], [0, 0], [1, 1], [1, 1]]]], [[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 < -u^2+v^2+1), y^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [0, 0], [1, 1], [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-u^2+v^2+1 < y,y < x), 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 = 0, z = z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [3, 3], [1, 1], [0, 0], [0, 0]]]], [[10, 5, 9, 9, 1], [v = 2^(1/2),
And(-3^(1/2) < u,u < -v), And(0 < x,x < 1), u^2+x-1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [1/2, 1/2], [3, 3], [-3, -3]]]], [[10, 5, 9, 9, 2], [v = 2^(1/2), 
And(-3^(1/2) < u,u < -v), And(0 < x,x < 1), u^2+x-1 < y, z = -(y-x)^(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, 9, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(0 < x,x < 1), u^2+x-1 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [1/2, 1/2], [3, 3], [0
, 0]]]], [[10, 5, 9, 9, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(0 < x,
x < 1), u^2+x-1 < y, z = (y-x)^(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, 9, 5], [v = 2^(1/2), And(-3^(1
/2) < u,u < -v), And(0 < x,x < 1), u^2+x-1 < y, (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [1/2, 1/2], [3, 3], [3, 3]]]], [[10, 7, 10, 4, 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, 4, 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, 4, 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, 8, 1], [v = 2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1)
, y = x-u^2+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, 8, 2
], [v = 2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), y = x-u^2+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
, 8, 3], [v = 2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), y = x-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], [7/8, 7/8], [29/8, 29/8], [-1/4194304, -1/
4194304]]]], [[10, 11, 9, 8, 4], [v = 2^(1/2), And(0 < u,u < 1), And(-u^2+1 <
x,x < 1), y = x-u^2+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, 8, 5], [v = 2^(1/2), And(0 < u,u < 1), And(-
u^2+1 < x,x < 1), y = x-u^2+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, 5, 1], [v = 2^(1/2), And(1 < u,u < v), x = 0, And(u^2-1 < y,y < -u^
2+3), z < -y^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [0, 0], [1, 1], [-2, -2]]]], [[10, 13, 8, 5
, 2], [v = 2^(1/2), And(1 < u,u < v), x = 0, And(u^2-1 < y,y < -u^2+3), z = -y
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576,
1265743/1048576], [0, 0], [1, 1], [-1, -1]]]], [[10, 13, 8, 5, 3], [v = 2^(1/2
), And(1 < 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], [1265743/1048576,
1265743/1048576], [0, 0], [1, 1], [0, 0]]]], [[10, 13, 8, 5, 4], [v = 2^(1/2),
And(1 < u,u < v), x = 0, And(u^2-1 < y,y < -u^2+3), z = y^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [0, 0], [1, 1], [1, 1]]]], [[10, 13, 8, 5, 5], [v = 2^(1/2), And(1 <
u,u < v), x = 0, And(u^2-1 < y,y < -u^2+3), y^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [0, 0], [
1, 1], [2, 2]]]], [[11, 2, 9, 8, 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, 8, 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, 8, 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,
8, 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, 8, 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, 3, 1], [2^(1
/2) < v, u = -(v^2+1)^(1/2), x = 1, And(0 < y,y < 1), z = z], [regular_chain,
[[3, 3], [-3315889/1048576, -207243/65536], [1, 1], [1/2, 1/2], [0, 0]]]], [[
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(2*u^2-2*v^2 < y,y < u^2-v^2-1), z = z], [regular_chain, [[3, 3]
, [-22960369/8388608, -22960369/8388608], [-657547/262144, -5260375/2097152],
[-5793411/2097152, -5793411/2097152], [0, 0]]]], [[11, 10, 8, 2, 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, 15, 11, 9
, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1 < x, x-u^2+v^2+1 < y, z <
-(y-x)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [2
, 2], [5, 5], [-3, -3]]]], [[11, 15, 11, 9, 2], [2^(1/2) < v, And((v^2-1)^(1/2
) < u,u < v), 1 < x, x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[3,
3], [6111549/2097152, 6111549/2097152], [2, 2], [5, 5], [-1816187/1048576, -\
3632373/2097152]]]], [[11, 15, 11, 9, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,
u < v), 1 < x, x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [2, 2], [5, 5], [-\
1/4194304, -1/4194304]]]], [[11, 15, 11, 9, 4], [2^(1/2) < v, And((v^2-1)^(1/2
) < u,u < v), 1 < x, x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3
], [6111549/2097152, 6111549/2097152], [2, 2], [5, 5], [908093/524288, 1816187
/1048576]]]], [[11, 15, 11, 9, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v),
1 < x, x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [2, 2], [5, 5], [3, 3]]]], [[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 = x, z < 0], [
regular_chain, [[3, 3], [5, 5], [16, 16], [16, 16], [-1, -1]]]], [[11, 21, 11,
6, 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, 6
, 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, 3, 1
], [v < -2^(1/2), u = -(v^2+2)^(1/2), x < -3, And(x-1 < y,y < x), z = z], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-4, -4], [-9/2
, -9/2], [0, 0]]]], [[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 = 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], [1699253/524288, 3398507/1048576], [-3, -3]
]]], [[1, 3, 9, 8, 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], [1699253/524288, 3398507/1048576], [-1655969/
1048576, -3311937/2097152]]]], [[1, 3, 9, 8, 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], [
1699253/524288, 3398507/1048576], [-1/4194304, -1/4194304]]]], [[1, 3, 9, 8, 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], [
1699253/524288, 3398507/1048576], [51749/32768, 1655969/1048576]]]], [[1, 3, 9
, 8, 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],
[1699253/524288, 3398507/1048576], [3, 3]]]], [[1, 8, 1, 2, 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, 2, 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, 2, 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, 5, 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 = 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 = 0, z < -(-x)^(
1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-657289
/524288, -657289/524288], [0, 0], [-3, -3]]]], [[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 = 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, 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 = 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, 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 = 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, 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 = 0, (-x)^(1/2) < z],
[regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-657289/524288
, -657289/524288], [0, 0], [3, 3]]]], [[1, 17, 4, 5, 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 < -(y+1)^(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(-u^2+v^2 < y,y < 0), z = -(y+1)^(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(-u^2+v^2 <
y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-u^2+v^2 < y,y < 0), z = (y+1)^(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(-u^2+v^2 < y,y <
0), (y+1)^(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(x < y,y < 0)
, z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-
x)^(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(x < y,y < 0), (y-x)^(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 = x, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [7/2, 7/2], [7/2
, 7/2], [-1, -1]]]], [[2, 1, 9, 6, 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, 6, 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, 4, 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, 4, 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, 4, 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, 7, 1], [v = -2^(1/2), And(0 < u,u < 1),
1 < x, And(x < y,y < x-u^2+3), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [2, 2], [27/8, 27/8], [-3, -3]]]], [[2,
11, 11, 7, 2], [v = -2^(1/2), And(0 < u,u < 1), 1 < x, And(x < y,y < x-u^2+3),
z = -(y-x)^(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
, 7, 3], [v = -2^(1/2), And(0 < u,u < 1), 1 < x, And(x < y,y < x-u^2+3), And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455
/524288], [1/2, 1/2], [2, 2], [27/8, 27/8], [0, 0]]]], [[2, 11, 11, 7, 4], [v
= -2^(1/2), And(0 < u,u < 1), 1 < x, And(x < y,y < x-u^2+3), z = (y-x)^(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, 7, 5], [v = -2^(1/2
), And(0 < u,u < 1), 1 < x, And(x < y,y < x-u^2+3), (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [2, 2], [27/8,
27/8], [3, 3]]]], [[2, 16, 3, 7, 1], [v = -2^(1/2), u = 3^(1/2), And(-2 < x,x
< -1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [908093/524288, 1816187/1048576], [-3/2, -3/2], [2, 2], [-3, -3]]]],
[[2, 16, 3, 7, 2], [v = -2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), x+2 < y, z
= -(y-x)^(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, 7, 3], [v = -2^(1/2), u = 3^(1/2), And(-2 < x,x < -1),
x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [908093/524288, 1816187/1048576], [-3/2, -3/2], [2,
2], [0, 0]]]], [[2, 16, 3, 7, 4], [v = -2^(1/2), u = 3^(1/2), And(-2 < x,x < -\
1), x+2 < y, z = (y-x)^(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, 7, 5], [v = -2^(1/2), u = 3^(1/2), 
And(-2 < x,x < -1), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [908093/524288, 1816187/1048576], [-3/2, -3/2], [2,
2], [3, 3]]]], [[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 < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3], [-1
/2, -1/2], [-3, -3]]]], [[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 < 0), z = -(y-x)^(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, 5, 3], [
And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x < -2, And(x+2 < y,y < 0), And(
-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3], [-1/2, -1/2],
[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 < 0), z = (y-x)^(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, 5, 5], [And(-2^(1/2) < v,v
< -1), u = -(v^2+1)^(1/2), x < -2, And(x+2 < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-3, -3], [-1/2, -1/2], [3, 3]]]], [[3, 5, 11, 8, 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], [908991/262144, 3635965/1048576]
, [-3, -3]]]], [[3, 5, 11, 8, 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], [908991/262144, 3635965/1048576], [-1270261/1048576, -317565/262144]]]]
, [[3, 5, 11, 8, 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], [908991/262144, 3635965/1048576], [0, 0]]]], [[3, 5,
11, 8, 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], [908991/262144
, 3635965/1048576], [317565/262144, 1270261/1048576]]]], [[3, 5, 11, 8, 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], [908991/262144, 
3635965/1048576], [3, 3]]]], [[3, 10, 4, 1, 1], [And(-2^(1/2) < v,v < -1), u =
(v^2-1)^(1/2), x = -1, y < -1, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [354469/524288, 708939/1048576], [-1, -1], [-2, -2], [0, 0]]
]], [[3, 12, 3, 2, 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
, 2, 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, 2, 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, 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 = -2*u^2+2*v^2, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [-1299559/524288, -2599117/1048576],
[-24808659/8388608, -49617317/16777216], [0, 0]]]], [[3, 16, 8, 5, 1], [And(-2
^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 2], [And(-2^
(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 1, And(1 <
y,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], [5/2, 5/2
], [0, 0]]]], [[3, 16, 8, 5, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2),
x = 1, And(1 < y,y < 4), 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, 5, 5], [And(-2^(1/2) < v,v < -\
1), u = (v^2+2)^(1/2), x = 1, And(1 < y,y < 4), (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, 3, 1], [v = -1, And(-3^(1/
2) < u,u < -2^(1/2)), And(-1 < x,x < 0), And(x-u^2+2 < y,y < x), z = z], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2],
[-12371059/16777216, -12371059/16777216], [0, 0]]]], [[4, 5, 4, 6, 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
, 6, 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, 6, 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, 6, 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, 6,
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, 1, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, y < -1, z = z], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1, -1], [-2, -\
2], [0, 0]]]], [[4, 13, 3, 4, 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], [-3643533/2097152, -\
3643533/2097152], [-1, -1]]]], [[4, 13, 3, 4, 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], [-\
3643533/2097152, -3643533/2097152], [0, 0]]]], [[4, 13, 3, 4, 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], [-3643533/2097152, -3643533/2097152], [1, 1]]]], [[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 < -(y-1)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [-3, -3], [1, 1], [12, 12], [-5, -5]]]], [[5,
1, 8, 9, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = 1, u^2-v^2+2 < y, z =
-(y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [1, 1], [12, 12], [-\
1738867/524288, -3477733/1048576]]]], [[5, 1, 8, 9, 3], [And(-1 < v,v < 0), u
< -(v^2+2)^(1/2), x = 1, u^2-v^2+2 < y, 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, 9, 4], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = 1, u^2-v^2+2 < y, z =
(y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [1, 1], [12, 12], [
3477733/1048576, 1738867/524288]]]], [[5, 1, 8, 9, 5], [And(-1 < v,v < 0), u <
-(v^2+2)^(1/2), x = 1, u^2-v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[-1/2
, -1/2], [-3, -3], [1, 1], [12, 12], [5, 5]]]], [[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 = z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144
], [0, 0], [-243021/1048576, -243021/1048576], [0, 0]]]], [[5, 12, 3, 8, 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, 8, 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, 8, 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, 8, 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,
8, 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]
]]], [[6, 1, 1, 2, 1], [v = 0, u < -2^(1/2), x < -u^2-1, y = x-u^2+1, z = z],
[regular_chain, [[0, 0], [-3, -3], [-11, -11], [-19, -19], [0, 0]]]], [[6, 4,
8, 5, 1], [v = 0, u = -1, x = 1, And(1 < y,y < 3), z < -(y-1)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [1, 1], [2, 2], [-2, -2]]]], [[6, 4, 8, 5, 2
], [v = 0, u = -1, x = 1, And(1 < y,y < 3), z = -(y-1)^(1/2)], [regular_chain,
[[0, 0], [-1, -1], [1, 1], [2, 2], [-1, -1]]]], [[6, 4, 8, 5, 3], [v = 0, u =
-1, x = 1, And(1 < y,y < 3), 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, 5, 4],
[v = 0, u = -1, x = 1, And(1 < y,y < 3), z = (y-1)^(1/2)], [regular_chain, [[0
, 0], [-1, -1], [1, 1], [2, 2], [1, 1]]]], [[6, 4, 8, 5, 5], [v = 0, u = -1, x
= 1, And(1 < y,y < 3), (y-1)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [1
, 1], [2, 2], [2, 2]]]], [[6, 6, 7, 6, 1], [v = 0, u = 0, 1 < x, y = x+1, z <
-1], [regular_chain, [[0, 0], [0, 0], [2, 2], [3, 3], [-2, -2]]]], [[6, 6, 7,
6, 2], [v = 0, u = 0, 1 < x, y = x+1, z = -1], [regular_chain, [[0, 0], [0, 0]
, [2, 2], [3, 3], [-1, -1]]]], [[6, 6, 7, 6, 3], [v = 0, u = 0, 1 < x, y = x+1
, And(-1 < z,z < 1)], [regular_chain, [[0, 0], [0, 0], [2, 2], [3, 3], [0, 0]]
]], [[6, 6, 7, 6, 4], [v = 0, u = 0, 1 < x, y = x+1, z = 1], [regular_chain, [
[0, 0], [0, 0], [2, 2], [3, 3], [1, 1]]]], [[6, 6, 7, 6, 5], [v = 0, u = 0, 1
< x, y = x+1, 1 < z], [regular_chain, [[0, 0], [0, 0], [2, 2], [3, 3], [2, 2]]
]], [[7, 1, 1, 9, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, 0
< y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-11, -11], [1,
1], [-5, -5]]]], [[7, 1, 1, 9, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x <
-u^2+v^2-1, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [
-11, -11], [1, 1], [-1816187/524288, -3632373/1048576]]]], [[7, 1, 1, 9, 3], [
And(0 < v,v < 1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, 0 < y, And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [-11, -11], [1,
1], [0, 0]]]], [[7, 1, 1, 9, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x < -u
^2+v^2-1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-11
, -11], [1, 1], [3632373/1048576, 1816187/524288]]]], [[7, 1, 1, 9, 5], [And(0
< v,v < 1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-3, -3], [-11, -11], [1, 1], [5, 5]]]], [[7, 2, 8
, 3, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = 1, And(0 < y,y < 1), z = z
], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1, 1], [1/2, 1/2], [0, 0]]]], [
[7, 7, 1, 6, 1], [And(0 < v,v < 1), And(-v < u,u < v), x < u^2-v^2-1, y = x-u^
2+v^2+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, 6, 2], [And(0 < v,v < 1), And(-v < u
,u < v), x < u^2-v^2-1, y = x-u^2+v^2+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, 6, 3], [And(0 < v,v < 1), And(-v < u,u < v), x
< u^2-v^2-1, y = x-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], [-3, -3], [-7/4, -7/4], [0, 0]]]],
[[7, 7, 1, 6, 4], [And(0 < v,v < 1), And(-v < u,u < v), x < u^2-v^2-1, y = x-u
^2+v^2+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, 6, 5], [And(
0 < v,v < 1), And(-v < u,u < v), x < u^2-v^2-1, y = x-u^2+v^2+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, 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 < 0), z < -(u^2-v^2+y+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-736367/
524288, -1472733/1048576], [-3393259/8388608, -3393259/8388608], [-3, -3]]]],
[[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 < 0), z = -(u^2-v^2+y+1)^(1/2)], [regular_chain, [
[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-736367/524288, -1472733/
1048576], [-3393259/8388608, -3393259/8388608], [-1048577/1048576, -1]]]], [[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 < 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], [-3393259/8388608, -3393259/8388608], [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 < 0), z = (u^2-v^2+y+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-736367/
524288, -1472733/1048576], [-3393259/8388608, -3393259/8388608], [1, 1048577/
1048576]]]], [[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 < 0), (u^2-v^2+y+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-736367/
524288, -1472733/1048576], [-3393259/8388608, -3393259/8388608], [3, 3]]]], [[
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 < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [243021/1048576, 
243021/1048576], [2826215/1048576, 353277/131072], [-3, -3]]]], [[7, 11, 7, 8,
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], [
2826215/1048576, 353277/131072], [-3291611/2097152, -1645805/1048576]]]], [[7,
11, 7, 8, 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], [2826215/1048576, 353277/131072], [0, 0]]]],
[[7, 11, 7, 8, 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], [2826215/1048576, 353277/131072], [1645805/1048576, 822903/
524288]]]], [[7, 11, 7, 8, 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], [2826215/1048576, 353277/131072], [3, 3]]]], [[7, 13
, 4, 7, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < u^2-v^
2), z < -(y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-1, -1], [35/8, 
35/8], [-4, -4]]]], [[7, 13, 4, 7, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x
= -1, And(0 < y,y < u^2-v^2), z = -(y+1)^(1/2)], [regular_chain, [[1/2, 1/2],
[3, 3], [-1, -1], [35/8, 35/8], [-151939/65536, -2431023/1048576]]]], [[7, 13,
4, 7, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < u^2-v^2)
, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3],
[-1, -1], [35/8, 35/8], [0, 0]]]], [[7, 13, 4, 7, 4], [And(0 < v,v < 1), (v^2+
2)^(1/2) < u, x = -1, And(0 < y,y < u^2-v^2), z = (y+1)^(1/2)], [regular_chain
, [[1/2, 1/2], [3, 3], [-1, -1], [35/8, 35/8], [2431023/1048576, 151939/65536]
]]], [[7, 13, 4, 7, 5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -1, And(0 <
y,y < u^2-v^2), (y+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3, 3], [-1, -1
], [35/8, 35/8], [4, 4]]]], [[8, 3, 11, 2, 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, 10, 1, 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], [-1, -1], [0, 0]]]], [[8, 11, 9, 7, 1], [v
= 1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), And(x-u^2+2 < y,y < u^2+x), z <
-(y-x)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1
/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[8, 11, 9, 7, 2], [v = 1, And(1 < u,u < 2^
(1/2)), And(0 < x,x < 1), And(x-u^2+2 < y,y < u^2+x), z = -(y-x)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [3/2,
3/2], [-1, -1]]]], [[8, 11, 9, 7, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(0 <
x,x < 1), And(x-u^2+2 < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [3/2,
3/2], [0, 0]]]], [[8, 11, 9, 7, 4], [v = 1, And(1 < u,u < 2^(1/2)), And(0 < x,
x < 1), And(x-u^2+2 < y,y < u^2+x), z = (y-x)^(1/2)], [regular_chain, [[1, 1],
[1265743/1048576, 1265743/1048576], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[8, 11
, 9, 7, 5], [v = 1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), And(x-u^2+2 < y,
y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[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],
[497805/1048576, 248903/524288], [-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], [497805
/1048576, 248903/524288], [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], [497805/
1048576, 248903/524288], [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 = 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, 8, 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, 8, 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, 8, 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, 8, 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, 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(x < y,y < u^2-v^2+x+1), z < -(y-x
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [2, 2], [6793421/2097152, 6793421/2097152], [-3,
-3]]]], [[9, 3, 11, 7, 2], [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 = -(y-x)^(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, 7, 3], [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), And(-(y-x
)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [2, 2], [6793421/2097152, 
6793421/2097152], [0, 0]]]], [[9, 3, 11, 7, 4], [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 =
(y-x)^(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, 7, 5], [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
), (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [2, 2], [6793421/2097152, 6793421/
2097152], [3, 3]]]], [[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(-u^2+v^2-1 < 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], [-\
2519283/2097152, -2519283/2097152], [-2, -2]]]], [[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(-u^2+v^2-1 <
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], [-2519283/2097152, -2519283/2097152], [-541047/1048576, -\
1082093/2097152]]]], [[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(-u^2+v^2-1 < 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], [-2519283/2097152, -2519283/2097152], [-1/4194304, -1/
4194304]]]], [[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(-u^2+v^2-1 < 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], [-2519283/
2097152, -2519283/2097152], [270523/524288, 541047/1048576]]]], [[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
(-u^2+v^2-1 < 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], [-2519283/2097152, -2519283/2097152], [2, 2]
]]], [[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 = x-u^2+v^2+1, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-4, -4], [
-2348135/524288, -4696269/1048576], [0, 0]]]], [[10, 1, 7, 6, 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, 6
, 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, 6, 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, 5, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x
= -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+
1)^(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(-1 < y,y < 0), z = (y+
1)^(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(-1 < y,y < 0), (y+1)^(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(0 < y,y < 1), z = z], [regular_chain, [[741455/524288, 1482911/1048576],
[0, 0], [1, 1], [1/2, 1/2], [0, 0]]]], [[10, 15, 2, 3, 1], [v = 2^(1/2), And(v
< u,u < 3^(1/2)), x = -u^2+1, And(-u^2+1 < 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], [-10167969/8388608, -\
10167969/8388608], [-2, -2]]]], [[10, 15, 2, 3, 2], [v = 2^(1/2), And(v < u,u
< 3^(1/2)), x = -u^2+1, And(-u^2+1 < 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], [-10167969/8388608, -10167969/
8388608], [-1074733/2097152, -268683/524288]]]], [[10, 15, 2, 3, 3], [v = 2^(1
/2), And(v < u,u < 3^(1/2)), x = -u^2+1, And(-u^2+1 < 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], [-10167969/8388608, -10167969/8388608], [0, 0]]]], [[10, 15,
2, 3, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -u^2+1, And(-u^2+1 < 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], [-10167969/8388608, -10167969/8388608], [268683/524288, 537367/
1048576]]]], [[10, 15, 2, 3, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -u^
2+1, And(-u^2+1 < 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], [-10167969/8388608, -10167969/8388608], [2, 2]]]],
[[10, 17, 1, 2, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, y = x-u^
2+3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [-4, -4], [-1174943/262144, -4699771/1048576], [0,
0]]]], [[10, 19, 4, 7, 1], [v = 2^(1/2), 2 < u, x = -1, And(0 < y,y < u^2-2),
z < -(y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3],
[-1, -1], [7/2, 7/2], [-4, -4]]]], [[10, 19, 4, 7, 2], [v = 2^(1/2), 2 < u, x
= -1, And(0 < y,y < u^2-2), z = -(y+1)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [3, 3], [-1, -1], [7/2, 7/2], [-1112183/524288, -2224365/
1048576]]]], [[10, 19, 4, 7, 3], [v = 2^(1/2), 2 < u, x = -1, And(0 < y,y < u^
2-2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[741455/524288,
1482911/1048576], [3, 3], [-1, -1], [7/2, 7/2], [0, 0]]]], [[10, 19, 4, 7, 4],
[v = 2^(1/2), 2 < u, x = -1, And(0 < y,y < u^2-2), z = (y+1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1, -1], [7/2, 7/2]
, [2224365/1048576, 1112183/524288]]]], [[10, 19, 4, 7, 5], [v = 2^(1/2), 2 <
u, x = -1, And(0 < y,y < u^2-2), (y+1)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [-1, -1], [7/2, 7/2], [4, 4]]]], [[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 = 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], [2090247/1048576, 261281/131072], [-3, -3
]]]], [[11, 5, 9, 8, 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], [2090247/1048576, 261281/131072],
[-1281417/1048576, -160177/131072]]]], [[11, 5, 9, 8, 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], [2090247/1048576, 261281/131072], [0, 0]]]], [[11,
5, 9, 8, 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], [2090247/1048576, 261281/131072], [160177
/131072, 1281417/1048576]]]], [[11, 5, 9, 8, 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], [2090247
/1048576, 261281/131072], [3, 3]]]], [[11, 7, 10, 3, 1], [2^(1/2) < v, And(-v
< u,u < -(v^2-1)^(1/2)), x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[3,
3], [-6111549/2097152, -6111549/2097152], [1, 1], [1/2, 1/2], [0, 0]]]], [[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 = z], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [-919691/524288, -919691/524288], [-4, -4], [0, 0]]]]
, [[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(x-u^2+v^2+1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-3, -3], [-1565147/2097152, -1565147/
2097152], [-3, -3]]]], [[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(x-u^2+v^2+1 < y,y < 0), z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3, -3], [-\
1565147/2097152, -1565147/2097152], [-787075/524288, -3148299/2097152]]]], [[
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(x-u^2+v^2+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3, -3], [-\
1565147/2097152, -1565147/2097152], [-1/4194304, -1/4194304]]]], [[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(x-u^2+v^
2+1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [-3, -3], [-1565147/2097152, -1565147/2097152], [1574149/
1048576, 787075/524288]]]], [[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(x-u^2+v^2+1 < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3, -3], [-\
1565147/2097152, -1565147/2097152], [3, 3]]]], [[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(-1 < y,y < 0), z < -(
y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y
+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0),
z = (y+1)^(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(-1 < y,y <
0), (y+1)^(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 = x, z < 0], [regular_chain, [[3, 3], [5,
5], [-18, -18], [-18, -18], [-1, -1]]]], [[11, 21, 1, 4, 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, 4, 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, 5, 1], [v < -2^(1/2), And(-(v^2+1)
^(1/2) < u,u < v), x < -u^2+v^2-1, And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z < -
(y-x)^(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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = -(y-
x)^(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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), And(-(y-x)^(
1/2) < z,z < (y-x)^(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(x-u^2+v^2+1 < y,y < u^2-v
^2+x+1), z = (y-x)^(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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1
), (y-x)^(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], [-1064009/1048576, -133001/131072], [-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], [-1064009/
1048576, -133001/131072], [-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
], [-1064009/1048576, -133001/131072], [-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], [-1064009/1048576, -\
133001/131072], [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], [-1064009/1048576, -133001/131072], [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 = u^2-v^2+x+1, z = z], [regular_chain, [[-3, -3], [0, 0
], [-11, -11], [-19, -19], [0, 0]]]], [[1, 12, 7, 5, 1], [v < -2^(1/2), u = (v
^2-2)^(1/2), And(0 < x,x < 1), And(0 < y,y < x), 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 = z], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1, -1], [-2, -2],
[0, 0]]]], [[1, 20, 2, 5, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -3, And(-3
< y,y < 0), z < -(y+3)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 
1738867/524288], [-3, -3], [-3/2, -3/2], [-3, -3]]]], [[1, 20, 2, 5, 2], [v <
-2^(1/2), u = (v^2+2)^(1/2), x = -3, And(-3 < y,y < 0), z = -(y+3)^(1/2)], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-3, -3], [-3/2,
-3/2], [-1284239/1048576, -642119/524288]]]], [[1, 20, 2, 5, 3], [v < -2^(1/2)
, u = (v^2+2)^(1/2), x = -3, And(-3 < y,y < 0), And(-(y+3)^(1/2) < z,z < (y+3)
^(1/2))], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-3, -\
3], [-3/2, -3/2], [0, 0]]]], [[1, 20, 2, 5, 4], [v < -2^(1/2), u = (v^2+2)^(1/
2), x = -3, And(-3 < y,y < 0), z = (y+3)^(1/2)], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [-3, -3], [-3/2, -3/2], [642119/524288, 
1284239/1048576]]]], [[1, 20, 2, 5, 5], [v < -2^(1/2), u = (v^2+2)^(1/2), x =
-3, And(-3 < y,y < 0), (y+3)^(1/2) < z], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [-3, -3], [-3/2, -3/2], [3, 3]]]], [[2, 2, 8, 3, 1],
[v = -2^(1/2), u = -2, x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-2, -2], [1, 1], [1/2, 1/2], [0, 0]]]], [[2
, 4, 7, 2, 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, 5, 4, 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], [-284633/1048576, -\
35579/131072], [-2, -2]]]], [[2, 7, 5, 4, 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], [-284633/1048576, -35579/131072], [-\
1417877/2097152, -354469/524288]]]], [[2, 7, 5, 4, 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], [-284633/
1048576, -35579/131072], [0, 0]]]], [[2, 7, 5, 4, 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], [-284633/1048576, -\
35579/131072], [354469/524288, 708939/1048576]]]], [[2, 7, 5, 4, 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], [-284633/1048576, -\
35579/131072], [2, 2]]]], [[2, 9, 4, 7, 1], [v = -2^(1/2), And(-1 < u,u < 0),
x = -1, And(0 < y,y < -u^2+2), z < -(y+1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [-1, -1], [7/8, 7/8], [-3, -3]]]], [[2
, 9, 4, 7, 2], [v = -2^(1/2), And(-1 < u,u < 0), x = -1, And(0 < y,y < -u^2+2)
, z = -(y+1)^(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, 7, 3], [v = -2^(1/2), And(-1 < u,u < 0), x = -1, And(0 < y,y < -u^2+2), And
(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-1, -1], [7/8, 7/8], [0, 0]]]], [[2, 9, 4, 7, 4
], [v = -2^(1/2), And(-1 < u,u < 0), x = -1, And(0 < y,y < -u^2+2), z = (y+1)^
(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, 7, 5], [v =
-2^(1/2), And(-1 < u,u < 0), x = -1, And(0 < y,y < -u^2+2), (y+1)^(1/2) < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1, -1], [
7/8, 7/8], [3, 3]]]], [[2, 13, 3, 5, 1], [v = -2^(1/2), And(1 < u,u < -v), And
(u^2-3 < x,x < -1), And(u^2+x-1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-\
2666417/2097152, -2666417/2097152], [-3415591/8388608, -3415591/8388608], [-2,
-2]]]], [[2, 13, 3, 5, 2], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x <
-1), And(u^2+x-1 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-2666417/
2097152, -2666417/2097152], [-3415591/8388608, -3415591/8388608], [-3899297/
4194304, -7798593/8388608]]]], [[2, 13, 3, 5, 3], [v = -2^(1/2), And(1 < u,u <
-v), And(u^2-3 < x,x < -1), And(u^2+x-1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [-2666417/2097152, -2666417/2097152], [-3415591/
8388608, -3415591/8388608], [-1/16777216, -1/16777216]]]], [[2, 13, 3, 5, 4],
[v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1), And(u^2+x-1 < y,y < 0
), z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-2666417/2097152, -2666417/2097152], [-\
3415591/8388608, -3415591/8388608], [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(u^2
+x-1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455
/524288], [1265743/1048576, 1265743/1048576], [-2666417/2097152, -2666417/
2097152], [-3415591/8388608, -3415591/8388608], [2, 2]]]], [[2, 15, 4, 4, 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], [-248903/524288, -497805/1048576], [-2, -2]]]], [[
2, 15, 4, 4, 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], [-248903/524288, -497805/1048576]
, [-1519901/2097152, -379975/524288]]]], [[2, 15, 4, 4, 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], [-248903/524288, -497805/1048576], [0, 0]
]]], [[2, 15, 4, 4, 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], [-248903/524288, -497805/
1048576], [379975/524288, 759951/1048576]]]], [[2, 15, 4, 4, 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], [-248903/524288, -497805/1048576], [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(x
< y,y < 0), z < -(y-x)^(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(x < y,y
< 0), z = -(y-x)^(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(x < y,y <
0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 < x-u^2+v^2+1, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-\
3647693/2097152, -3647693/2097152], [-4, -4], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-3949363/4194304, -3949363/4194304], [-1498947/2097152, -1498947/2097152], [-\
1498947/2097152, -1498947/2097152], [-1, -1]]]], [[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 =
x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-1498947/2097152, -1498947/2097152], [-1498947/
2097152, -1498947/2097152], [0, 0]]]], [[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 = x, 0 < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [-1498947/2097152, -\
1498947/2097152], [1, 1]]]], [[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(-1 < y,y < 0), z < -(y+1)^(
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(-1 < y,y < 0), z = -(y+1)^(
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(
-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = x-u^2+v^2+1, z = z], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [3, 3], [7909297/2097152, 7909297/
2097152], [-2906073/1048576, -11624291/4194304], [0, 0]]]], [[4, 2, 4, 5, 1],
[v = -1, u = -3^(1/2), x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1
< y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(
y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = 0, z < 0], [regular_chain, [[-1, -1], [-1, -1],
[0, 0], [0, 0], [-1, -1]]]], [[4, 6, 4, 2, 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, 2, 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, 3, 1], [v = -1, u = 0, And(-1
< x,x < 0), And(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [0
, 0], [-1/2, -1/2], [-1/4, -1/4], [-2, -2]]]], [[4, 8, 5, 3, 2], [v = -1, u =
0, And(-1 < x,x < 0), And(x < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[-\
1, -1], [0, 0], [-1/2, -1/2], [-1/4, -1/4], [-1/2, -1/2]]]], [[4, 8, 5, 3, 3],
[v = -1, u = 0, And(-1 < x,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2], [-1/4, -1/4],
[0, 0]]]], [[4, 8, 5, 3, 4], [v = -1, u = 0, And(-1 < x,x < 0), And(x < y,y <
0), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2], [-1/4,
-1/4], [1/2, 1/2]]]], [[4, 8, 5, 3, 5], [v = -1, u = 0, And(-1 < x,x < 0), And
(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [0, 0], [-1/2, -1/
2], [-1/4, -1/4], [2, 2]]]], [[4, 14, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 10, 2, 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, 6, 3, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = 0, And(0 < y,y < 2)
, 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(0 < y,y < 2), 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(0 < y,y < 2
), 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(0 < y,y < 2), 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(0 < y,y < 2), 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 = x+1, 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, 6, 2],
[And(-1 < v,v < 0), u = v, And(0 < x,x < 1), y = x+1, 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, 6
, 3], [And(-1 < v,v < 0), u = v, And(0 < x,x < 1), y = x+1, 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, 6, 4], [And(-1 < v,v < 0), u = v, And(0 < x,x < 1), y = x+1, 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, 6, 5], [And(-1 < v,v < 0), u = v, And(0 < x,x < 1), y = x+1,
1 < z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1/2, 1/2], [3/2, 3/2], [
2, 2]]]], [[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 = 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, 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 = 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,
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 = 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, 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 = 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, 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 = 0, (-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [0, 0], [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 < -(y+1)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [343151/262144, 343151/262144], [-1, -1], [3, 3], [-3, -3]]]], [[5, 11, 4, 9
, 2], [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 = -(y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 
343151/262144], [-1, -1], [3, 3], [-2, -2]]]], [[5, 11, 4, 9, 3], [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, And(-(y
+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [343151/262144
, 343151/262144], [-1, -1], [3, 3], [0, 0]]]], [[5, 11, 4, 9, 4], [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 = (y+
1)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1,
-1], [3, 3], [2, 2]]]], [[5, 11, 4, 9, 5], [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, (y+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1, -1], [3, 3]
, [3, 3]]]], [[6, 1, 10, 7, 1], [v = 0, u < -2^(1/2), x = u^2-1, 2*u^2 < y, z
< -(y-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [8, 8], [19, 19], [-5,
-5]]]], [[6, 1, 10, 7, 2], [v = 0, u < -2^(1/2), x = u^2-1, 2*u^2 < y, z = -(y
-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [8, 8], [19, 19], [-1738867
/524288, -3477733/1048576]]]], [[6, 1, 10, 7, 3], [v = 0, u < -2^(1/2), x = u^
2-1, 2*u^2 < y, And(-(y-u^2+1)^(1/2) < z,z < (y-u^2+1)^(1/2))], [regular_chain
, [[0, 0], [-3, -3], [8, 8], [19, 19], [0, 0]]]], [[6, 1, 10, 7, 4], [v = 0, u
< -2^(1/2), x = u^2-1, 2*u^2 < y, z = (y-u^2+1)^(1/2)], [regular_chain, [[0, 0
], [-3, -3], [8, 8], [19, 19], [3477733/1048576, 1738867/524288]]]], [[6, 1, 
10, 7, 5], [v = 0, u < -2^(1/2), x = u^2-1, 2*u^2 < y, (y-u^2+1)^(1/2) < z], [
regular_chain, [[0, 0], [-3, -3], [8, 8], [19, 19], [5, 5]]]], [[6, 3, 8, 3, 1
], [v = 0, And(-2^(1/2) < u,u < -1), x = u^2-1, And(0 < y,y < u^2-1), z = z],
[regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [239655/524288,
479311/1048576], [239655/1048576, 239655/1048576], [0, 0]]]], [[6, 9, 5, 7, 1]
, [v = 0, And(1 < u,u < 2^(1/2)), And(-1 < x,x < 0), And(0 < y,y < u^2+x+1), z
< -(y-x)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576],
[-1/2, -1/2], [1026087/1048576, 1026087/1048576], [-3, -3]]]], [[6, 9, 5, 7, 2
], [v = 0, And(1 < u,u < 2^(1/2)), And(-1 < x,x < 0), And(0 < y,y < u^2+x+1),
z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576]
, [-1/2, -1/2], [1026087/1048576, 1026087/1048576], [-79689/65536, -1275023/
1048576]]]], [[6, 9, 5, 7, 3], [v = 0, And(1 < u,u < 2^(1/2)), And(-1 < x,x <
0), And(0 < y,y < u^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [
1026087/1048576, 1026087/1048576], [0, 0]]]], [[6, 9, 5, 7, 4], [v = 0, And(1
< u,u < 2^(1/2)), And(-1 < x,x < 0), And(0 < y,y < u^2+x+1), z = (y-x)^(1/2)],
[regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [
1026087/1048576, 1026087/1048576], [1275023/1048576, 79689/65536]]]], [[6, 9,
5, 7, 5], [v = 0, And(1 < u,u < 2^(1/2)), And(-1 < x,x < 0), And(0 < y,y < u^2
+x+1), (y-x)^(1/2) < z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [-1/2, -1/2], [1026087/1048576, 1026087/1048576], [3, 3]]]], [[6, 11
, 3, 3, 1], [v = 0, 2^(1/2) < u, And(-u^2-1 < x,x < -1), And(x-u^2+1 < y,y < x
), z = z], [regular_chain, [[0, 0], [3, 3], [-11/2, -11/2], [-19/2, -19/2], [0
, 0]]]], [[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(0 < y,y < x-u^2+v^2+1), z = z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [1534619/2097152
, 1534619/2097152], [281267/2097152, 281267/2097152], [0, 0]]]], [[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], [312209/524288, 624419/1048576], [-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], [312209/524288, 624419/1048576], [-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], [312209/524288, 624419/1048576], [-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], [312209/524288, 624419/1048576], [
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], [
312209/524288, 624419/1048576], [2, 2]]]], [[8, 1, 4, 1, 1], [v = 1, u < -3^(1
/2), x = -1, y < -u^2+1, z = z], [regular_chain, [[1, 1], [-3, -3], [-1, -1],
[-9, -9], [0, 0]]]], [[8, 2, 9, 9, 1], [v = 1, u = -3^(1/2), 1 < x, x+3 < y, z
< -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152]
, [2, 2], [6, 6], [-3, -3]]]], [[8, 2, 9, 9, 2], [v = 1, u = -3^(1/2), 1 < x,
x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [2, 2], [6, 6], [-2, -2]]]], [[8, 2, 9, 9, 3], [v = 1, u = -
3^(1/2), 1 < x, x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [2, 2], [6, 6],
[0, 0]]]], [[8, 2, 9, 9, 4], [v = 1, u = -3^(1/2), 1 < x, x+3 < y, z = (y-x)^(
1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [2, 2],
[6, 6], [2, 2]]]], [[8, 2, 9, 9, 5], [v = 1, u = -3^(1/2), 1 < x, x+3 < y, (y-
x)^(1/2) < z], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152],
[2, 2], [6, 6], [3, 3]]]], [[8, 7, 3, 7, 1], [v = 1, And(-1 < u,u < 0), And(u^
2-2 < x,x < -1), And(0 < y,y < x-u^2+2), z < -(y-x)^(1/2)], [regular_chain, [[
1, 1], [-1/2, -1/2], [-11/8, -11/8], [3/16, 3/16], [-3, -3]]]], [[8, 7, 3, 7,
2], [v = 1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), And(0 < y,y < x-u^2+2),
z = -(y-x)^(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, 7, 3], [v = 1, And(-1 < u,u < 0), And(u
^2-2 < x,x < -1), And(0 < y,y < x-u^2+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2)
)], [regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [3/16, 3/16], [0, 0
]]]], [[8, 7, 3, 7, 4], [v = 1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), And(
0 < y,y < x-u^2+2), z = (y-x)^(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, 7, 5], [v = 1, And(-1 <
u,u < 0), And(u^2-2 < x,x < -1), And(0 < y,y < x-u^2+2), (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [3/16, 3/16], [3, 3]]]],
[[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(x < y,y < x+
3), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [1/2, 1/2], [2, 2], [-3, -3]]]], [[8, 14, 7, 7, 2], [v = 1, u = 3^(1
/2), And(0 < x,x < 1), And(x < y,y < x+3), z = -(y-x)^(1/2)], [regular_chain,
[[1, 1], [908093/524288, 1816187/1048576], [1/2, 1/2], [2, 2], [-1284239/
1048576, -642119/524288]]]], [[8, 14, 7, 7, 3], [v = 1, u = 3^(1/2), And(0 < x
,x < 1), And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [1/2, 1/2], [2, 2],
[0, 0]]]], [[8, 14, 7, 7, 4], [v = 1, u = 3^(1/2), And(0 < x,x < 1), And(x < y
,y < x+3), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [1/2, 1/2], [2, 2], [642119/524288, 1284239/1048576]]]], [[8, 14, 7,
7, 5], [v = 1, u = 3^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), (y-x)^(1/2)
< z], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [1/2, 1/2], [
2, 2], [3, 3]]]], [[9, 1, 4, 6, 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, 6, 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,
6, 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, 6, 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, 6, 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, 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 = 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], [122559/524288, 245119/1048576], [-3, -3]]]],
[[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 = 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], [122559/524288, 245119/
1048576], [-1270261/1048576, -317565/262144]]]], [[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 =
u^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], [122559/524288, 245119/
1048576], [0, 0]]]], [[9, 5, 3, 8, 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], [122559/524288,
245119/1048576], [317565/262144, 1270261/1048576]]]], [[9, 5, 3, 8, 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], [122559/524288, 245119/1048576], [3, 3]]]], [[9, 7, 4, 3, 1],
[And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -1, And(-1 < y,y
< u^2-v^2), z < -(y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [-3293563/4194304, -\
3293563/4194304], [-2, -2]]]], [[9, 7, 4, 3, 2], [And(1 < v,v < 2^(1/2)), And(
-v < u,u < -(v^2-1)^(1/2)), x = -1, And(-1 < y,y < u^2-v^2), z = -(y+1)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1, -1], [-3293563/4194304, -3293563/4194304], [-242963/
524288, -485925/1048576]]]], [[9, 7, 4, 3, 3], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), x = -1, And(-1 < y,y < u^2-v^2), And(-(y+1)^(1/2) < z
,z < (y+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-1, -1], [-3293563/4194304, -3293563/
4194304], [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(-1 < y,y < u^2-v^2), z = (y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1, -1], [-3293563/4194304, -3293563/4194304], [485925/
1048576, 242963/524288]]]], [[9, 7, 4, 3, 5], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), x = -1, And(-1 < y,y < u^2-v^2), (y+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1, -1], [-3293563/4194304, -3293563/4194304], [2, 2]]]], [
[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), x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [1527887/2097152,
1527887/2097152], [5, 5], [-4, -4]]]], [[9, 9, 9, 9, 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), x-u^
2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [1527887/2097152, 1527887/2097152], [5, 5], [-2167143/
1048576, -1083571/524288]]]], [[9, 9, 9, 9, 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), x-u^2+v^2+1 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576,
1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152], [5, 5], [0, 0]]]
], [[9, 9, 9, 9, 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), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [1527887/2097152,
1527887/2097152], [5, 5], [1083571/524288, 2167143/1048576]]]], [[9, 9, 9, 9,
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), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152],
[5, 5], [4, 4]]]], [[9, 11, 8, 6, 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
], [411695/262144, 1646781/1048576], [-3, -3]]]], [[9, 11, 8, 6, 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], [411695/262144, 1646781/1048576], [-1314069/
1048576, -328517/262144]]]], [[9, 11, 8, 6, 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], [411695/262144, 1646781/1048576], [0,
0]]]], [[9, 11, 8, 6, 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], [411695/
262144, 1646781/1048576], [328517/262144, 1314069/1048576]]]], [[9, 11, 8, 6,
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], [411695/262144, 1646781/
1048576], [3, 3]]]], [[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-u^2+v^2+1, z = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [2, 2], [
797593/524288, 1595187/1048576], [0, 0]]]], [[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 < 0), z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1, 1], [-5812145/
2097152, -5812145/2097152], [0, 0]]]], [[10, 5, 10, 1, 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], [-1, -1], [0,
0]]]], [[10, 7, 10, 5, 1], [v = 2^(1/2), And(-v < u,u < -1), x = 1, And(1 < y,
y < u^2), 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(1 < y,y < u^2), 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(1 < 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], [1288231/1048576, 1288231/
1048576], [0, 0]]]], [[10, 7, 10, 5, 4], [v = 2^(1/2), And(-v < u,u < -1), x =
1, And(1 < y,y < u^2), 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(1 < y,y < u^2), (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(x < y
,y < x-u^2+3), z < -(y-x)^(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, 7, 2],
[v = 2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), And(x < y,y < x-u^2+3),
z = -(y-x)^(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
, 7, 3], [v = 2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), And(x < y,y <
x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 4], [v = 2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), And(x < y
,y < x-u^2+3), z = (y-x)^(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, 7, 5], [v = 2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1)
, And(x < y,y < x-u^2+3), (y-x)^(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, 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], [239655/524288, 479311/1048576], [-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], [239655/524288, 479311/1048576], [-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], [239655/
524288, 479311/1048576], [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], [239655/
524288, 479311/1048576], [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], [239655/524288, 479311/1048576], [2, 2]]]], [[11, 2, 9, 7, 1
], [2^(1/2) < v, u = -(v^2+2)^(1/2), 1 < x, And(x < y,y < x+3), z < -(y-x)^(1/
2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [2, 2], [7/
2, 7/2], [-3, -3]]]], [[11, 2, 9, 7, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), 1 <
x, And(x < y,y < x+3), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [2, 2], [7/2, 7/2], [-1284239/1048576, -642119/
524288]]]], [[11, 2, 9, 7, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), 1 < x, And(x
< y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3],
[-1738867/524288, -3477733/1048576], [2, 2], [7/2, 7/2], [0, 0]]]], [[11, 2, 9
, 7, 4], [2^(1/2) < v, u = -(v^2+2)^(1/2), 1 < x, And(x < y,y < x+3), z = (y-x
)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [2, 2]
, [7/2, 7/2], [642119/524288, 1284239/1048576]]]], [[11, 2, 9, 7, 5], [2^(1/2)
< v, u = -(v^2+2)^(1/2), 1 < x, And(x < y,y < x+3), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [2, 2], [7/2, 7/2
], [3, 3]]]], [[11, 4, 8, 2, 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, 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],
[-657547/262144, -5260375/2097152], [-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], [-657547/262144, -5260375/2097152], [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], [-657547/
262144, -5260375/2097152], [1, 1]]]], [[11, 10, 8, 3, 1], [2^(1/2) < v, u = -(
v^2-2)^(1/2), x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [1, 1], [1/2, 1/2], [0, 0]]]], [[11, 15, 
11, 8, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1 < x, y = x-u^2+v^2+1,
z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [2, 2], [919433/262144, 3677733/1048576], [-3, -3]]]], [[11, 15, 11,
8, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1 < x, y = x-u^2+v^2+1, z =
-(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [2, 2], [919433/262144, 3677733/1048576], [-1287385/1048576, -160923
/131072]]]], [[11, 15, 11, 8, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v),
1 < x, y = x-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], [2, 2], [919433/
262144, 3677733/1048576], [0, 0]]]], [[11, 15, 11, 8, 4], [2^(1/2) < v, And((v
^2-1)^(1/2) < u,u < v), 1 < x, y = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [2, 2], [919433/
262144, 3677733/1048576], [160923/131072, 1287385/1048576]]]], [[11, 15, 11, 8
, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1 < x, y = x-u^2+v^2+1, (-u^
2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [2, 2], [919433/262144, 3677733/1048576], [3, 3]]]], [[11, 18, 1, 3,
1], [2^(1/2) < v, u = (v^2+1)^(1/2), x < -2, And(x < y,y < x+2), z < -(y-x)^(1
/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3, -3], [-2,
-2], [-2, -2]]]], [[11, 18, 1, 3, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), x < -2,
And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [207243/65536,
3315889/1048576], [-3, -3], [-2, -2], [-1, -1]]]], [[11, 18, 1, 3, 3], [2^(1/2
) < v, u = (v^2+1)^(1/2), x < -2, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3,
-3], [-2, -2], [0, 0]]]], [[11, 18, 1, 3, 4], [2^(1/2) < v, u = (v^2+1)^(1/2),
x < -2, And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [207243
/65536, 3315889/1048576], [-3, -3], [-2, -2], [1, 1]]]], [[11, 18, 1, 3, 5], [
2^(1/2) < v, u = (v^2+1)^(1/2), x < -2, And(x < y,y < x+2), (y-x)^(1/2) < z],
[regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3, -3], [-2, -2],
[2, 2]]]], [[11, 21, 11, 7, 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 < -(y-x)^(1/2)], [regular_chain, [[3, 3], [5,
5], [16, 16], [49/2, 49/2], [-4, -4]]]], [[11, 21, 11, 7, 2], [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 = -(y-x)^(1/2)],
[regular_chain, [[3, 3], [5, 5], [16, 16], [49/2, 49/2], [-24456785/8388608, -\
1528549/524288]]]], [[11, 21, 11, 7, 3], [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), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[3, 3], [5, 5], [16, 16], [49/2, 49/2], [0, 0]]]], [[11, 21,
11, 7, 4], [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 = (y-x)^(1/2)], [regular_chain, [[3, 3], [5, 5], [16, 16], [49/2, 
49/2], [1528549/524288, 3057099/1048576]]]], [[11, 21, 11, 7, 5], [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), (y-x)^(1/2) <
z], [regular_chain, [[3, 3], [5, 5], [16, 16], [49/2, 49/2], [4, 4]]]], [[1, 2
, 1, 4, 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, 4, 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, 4, 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, 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 < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576,
-3396811/1048576], [1566621/2097152, 1566621/2097152], [5, 5], [-4, -4]]]], [[
1, 3, 9, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-\
3, -3], [-3396811/1048576, -3396811/1048576], [1566621/2097152, 1566621/
2097152], [5, 5], [-540613/262144, -2162451/1048576]]]], [[1, 3, 9, 9, 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), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [
[-3, -3], [-3396811/1048576, -3396811/1048576], [1566621/2097152, 1566621/
2097152], [5, 5], [0, 0]]]], [[1, 3, 9, 9, 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), u^2-v^2+x+1 < y, z = (y-
x)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [
1566621/2097152, 1566621/2097152], [5, 5], [2162451/1048576, 540613/262144]]]]
, [[1, 3, 9, 9, 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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [
[-3, -3], [-3396811/1048576, -3396811/1048576], [1566621/2097152, 1566621/
2097152], [5, 5], [4, 4]]]], [[1, 8, 1, 1, 1], [v < -2^(1/2), u = -(v^2-1)^(1/
2), x < -2, y < x, z = z], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [-3, -3], [-4, -4], [0, 0]]]], [[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 = u^2-v^2+x+1, z =
z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [2, 2],
[391029/262144, 1564117/1048576], [0, 0]]]], [[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(0 < y,y < x-u^2+
v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [-657289/524288, -657289/524288], [133001/1048576, 133001/
1048576], [-3, -3]]]], [[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(0 < y,y < x-u^2+v^2+1), z = -(y-x)^(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, 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(0 < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-657289/524288, -657289/524288], [133001/1048576, 133001/1048576],
[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(0 < y,y < x-u^2+v^2+1), z = (y-x)^(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, 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(0 < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-657289/524288,
-657289/524288], [133001/1048576, 133001/1048576], [3, 3]]]], [[1, 17, 4, 6, 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, 6, 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, 6, 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,
6, 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, 6, 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, 4, 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, 4, 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, 4, 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, 5, 1], [v = -2^(1/2
), u < -2, And(1 < x,x < u^2-3), And(0 < y,y < x), 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(x < y,y < 0),
z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), 
And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(
x < y,y < 0), (y-x)^(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 = x-u^2+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, 8, 2], [v = -2^(1/2), And(0 < u,u < 1), 1 < x
, y = x-u^2+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, 8, 3], [v = -2^(1/2), And(0 < u,u < 1), 1 < x, y = x
-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], [2, 2], [19/4, 19/4], [-1/
4194304, -1/4194304]]]], [[2, 11, 11, 8, 4], [v = -2^(1/2), And(0 < u,u < 1),
1 < x, y = x-u^2+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, 8, 5], [v = -2^(1/2), And(0 < u,u < 1), 1 < x, y = x
-u^2+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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 2, 3, 1], [v =
-2^(1/2), u = 2, x = -3, And(-4 < y,y < -3), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [-3, -3], [-7/2, -7/2], [0, 0]]]], [
[3, 4, 1, 6, 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, 6,
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, 6, 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, 6, 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, 6, 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, 9, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2
+1)^(1/2) < u,u < v), 1 < x, u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [2, 2], [5, 5], [-3, -3]]]], [[3, 5, 11, 9, 2], [And(-2^(1/2
) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, u^2-v^2+x+1 < y, z = -(y-
x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [2, 2], [5, 5], [-1816187/1048576, -3632373/
2097152]]]], [[3, 5, 11, 9, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2)
< u,u < v), 1 < x, u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[3, 5, 11, 9,
4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, u^2-v^2+x
+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-5818805/4194304, -5818805/4194304], [2, 2], [5, 5], [908093/524288, 
1816187/1048576]]]], [[3, 5, 11, 9, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1
)^(1/2) < u,u < v), 1 < x, u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [
2, 2], [5, 5], [3, 3]]]], [[3, 10, 3, 7, 1], [And(-2^(1/2) < v,v < -1), u = (v
^2-1)^(1/2), And(-2 < x,x < -1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-3/2,
-3/2], [2, 2], [-3, -3]]]], [[3, 10, 3, 7, 2], [And(-2^(1/2) < v,v < -1), u =
(v^2-1)^(1/2), And(-2 < x,x < -1), x+2 < y, z = -(y-x)^(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, 7, 3], [And(
-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-2 < x,x < -1), x+2 < y, And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [354469/524288, 708939/1048576], [-3/2, -3/2], [2, 2], [0, 0]]]], [[
3, 10, 3, 7, 4], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-2 < x,x <
-1), x+2 < y, z = (y-x)^(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, 7, 5], [And(-2^(1/2) < v,v < -1), u =
(v^2-1)^(1/2), And(-2 < x,x < -1), x+2 < y, (y-x)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-3/2,
-3/2], [2, 2], [3, 3]]]], [[3, 12, 3, 1, 1], [And(-2^(1/2) < v,v < -1), u = -v
, And(-1 < x,x < 0), y < x, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [-2, -2],
[0, 0]]]], [[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 < -2*u^2+2*v^2, z = z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-\
1299559/524288, -2599117/1048576], [-4, -4], [0, 0]]]], [[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 = x, z < 0], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2],
[-1/2, -1/2], [-1, -1]]]], [[4, 3, 5, 4, 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,
4, 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, 7, 1], [v = -1, And(-2^(1/2) < u,u <
-1), x = -1, And(0 < y,y < u^2-1), z < -(y+1)^(1/2)], [regular_chain, [[-1, -1
], [-1265743/1048576, -1265743/1048576], [-1, -1], [239655/1048576, 239655/
1048576], [-3, -3]]]], [[4, 5, 4, 7, 2], [v = -1, And(-2^(1/2) < u,u < -1), x
= -1, And(0 < y,y < u^2-1), z = -(y+1)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [239655/1048576, 239655/1048576]
, [-1162243/1048576, -581121/524288]]]], [[4, 5, 4, 7, 3], [v = -1, And(-2^(1/
2) < u,u < -1), x = -1, And(0 < y,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], [239655/1048576, 239655/1048576], [0, 0]]]], [[4, 5, 4, 7, 4], [v = -1, 
And(-2^(1/2) < u,u < -1), x = -1, And(0 < y,y < u^2-1), z = (y+1)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1, -1], [
239655/1048576, 239655/1048576], [581121/524288, 1162243/1048576]]]], [[4, 5,
4, 7, 5], [v = -1, And(-2^(1/2) < u,u < -1), x = -1, And(0 < y,y < u^2-1), (y+
1)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576]
, [-1, -1], [239655/1048576, 239655/1048576], [3, 3]]]], [[4, 11, 3, 9, 1], [v
= -1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), u^2+x < y, z < -(y-x)^(1/2
)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1288231/
1048576, -1288231/1048576], [2, 2], [-3, -3]]]], [[4, 11, 3, 9, 2], [v = -1, 
And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), u^2+x < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1288231/
1048576, -1288231/1048576], [2, 2], [-7536399/4194304, -3768199/2097152]]]], [
[4, 11, 3, 9, 3], [v = -1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), u^2+x
< y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576], [2, 2
], [-1/4194304, -1/4194304]]]], [[4, 11, 3, 9, 4], [v = -1, And(1 < u,u < 2^(1
/2)), And(-u^2 < x,x < -1), u^2+x < y, z = (y-x)^(1/2)], [regular_chain, [[-1,
-1], [1265743/1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576],
[2, 2], [1884099/1048576, 471025/262144]]]], [[4, 11, 3, 9, 5], [v = -1, And(1
< u,u < 2^(1/2)), And(-u^2 < x,x < -1), u^2+x < y, (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1288231/
1048576, -1288231/1048576], [2, 2], [3, 3]]]], [[4, 13, 3, 3, 1], [v = -1, And
(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), And(x-u^2+2 < y,y < x), z = z
], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-3643533/
2097152, -3643533/2097152], [-8282677/4194304, -8282677/4194304], [0, 0]]]], [
[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 < x-u^2+v^2+1, z = z], [regular_chain, [[-1/2, -1/2], [-3, -3], [35/8,
35/8], [-5, -5], [0, 0]]]], [[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(0 < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/
2], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[5, 12, 3, 7, 2], [And(-1 < v,v < 0),
u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), z = -(y-x)^(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, 7, 3], [And(-1 < v,v < 0), u = (v^2+2
)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x
)^(1/2))], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-2, -2], [1/2, 1/2], [0
, 0]]]], [[5, 12, 3, 7, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-3 < x,
x < -1), And(0 < y,y < x+3), z = (y-x)^(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, 7, 5], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(0 <
y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-2,
-2], [1/2, 1/2], [3, 3]]]], [[6, 1, 1, 1, 1], [v = 0, u < -2^(1/2), x < -u^2-1
, y < x-u^2+1, z = z], [regular_chain, [[0, 0], [-3, -3], [-11, -11], [-20, -\
20], [0, 0]]]], [[6, 4, 8, 6, 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, 6,
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, 6, 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, 6, 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, 6, 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, 7, 1], [v = 0, u = 0, 1 < x, x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[0, 0], [0, 0], [2, 2], [4, 4], [-3, -3]]]], [[6, 6, 7, 7, 2],
[v = 0, u = 0, 1 < x, x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [0,
0], [2, 2], [4, 4], [-1482911/1048576, -741455/524288]]]], [[6, 6, 7, 7, 3], [
v = 0, u = 0, 1 < x, x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[0, 0], [0, 0], [2, 2], [4, 4], [0, 0]]]], [[6, 6, 7, 7, 4], [
v = 0, u = 0, 1 < x, x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[0, 0], [0, 0
], [2, 2], [4, 4], [741455/524288, 1482911/1048576]]]], [[6, 6, 7, 7, 5], [v =
0, u = 0, 1 < x, x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[0, 0], [0, 0], [
2, 2], [4, 4], [3, 3]]]], [[7, 1, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 2, 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,
7, 1, 7, 1], [And(0 < v,v < 1), And(-v < u,u < v), x < u^2-v^2-1, And(x-u^2+v^
2+1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3, -\
3], [-7/8, -7/8], [-3, -3]]]], [[7, 7, 1, 7, 2], [And(0 < v,v < 1), And(-v < u
,u < v), x < u^2-v^2-1, And(x-u^2+v^2+1 < y,y < 0), z = -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-3, -3], [-7/8, -7/8], [-764275/524288, -\
1528549/1048576]]]], [[7, 7, 1, 7, 3], [And(0 < v,v < 1), And(-v < u,u < v), x
< u^2-v^2-1, And(x-u^2+v^2+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[1/2, 1/2], [0, 0], [-3, -3], [-7/8, -7/8], [0, 0]]]], [[7
, 7, 1, 7, 4], [And(0 < v,v < 1), And(-v < u,u < v), x < u^2-v^2-1, And(x-u^2+
v^2+1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3,
-3], [-7/8, -7/8], [1528549/1048576, 764275/524288]]]], [[7, 7, 1, 7, 5], [And
(0 < v,v < 1), And(-v < u,u < v), x < u^2-v^2-1, And(x-u^2+v^2+1 < y,y < 0), (
y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [-3, -3], [-7/8, -7/8],
[3, 3]]]], [[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 = 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 < -(y-x)^(1/
2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [243021/
1048576, 243021/1048576], [4, 4], [-3, -3]]]], [[7, 11, 7, 9, 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), u^2-
v^2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-v^2+x+1 < y, And(-(y-x)^
(1/2) < z,z < (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, z = (y-x)^(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, 9,
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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
343151/262144, 343151/262144], [243021/1048576, 243021/1048576], [4, 4], [3, 3
]]]], [[7, 13, 4, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 1, 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], [-1, -1], [0, 0]]]], [[8, 5, 9, 9, 1], [v = 1, And(-
2^(1/2) < u,u < -1), And(0 < x,x < 1), u^2+x < y, z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [3,
3], [-3, -3]]]], [[8, 5, 9, 9, 2], [v = 1, And(-2^(1/2) < u,u < -1), And(0 < x
,x < 1), u^2+x < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [1/2, 1/2], [3, 3], [-3315889/2097152, -207243/
131072]]]], [[8, 5, 9, 9, 3], [v = 1, And(-2^(1/2) < u,u < -1), And(0 < x,x <
1), u^2+x < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1]
, [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [3, 3], [0, 0]]]], [[8, 5,
9, 9, 4], [v = 1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), u^2+x < y, z = (
y-x)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1
/2, 1/2], [3, 3], [207243/131072, 1657945/1048576]]]], [[8, 5, 9, 9, 5], [v =
1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), u^2+x < y, (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [3,
3], [3, 3]]]], [[8, 11, 9, 8, 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], [1026087/524288, 2052175/1048576], [-3, -3]]]], [[8, 11,
9, 8, 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], [
1026087/524288, 2052175/1048576], [-1265743/1048576, -1265743/1048576]]]], [[8
, 11, 9, 8, 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], [1026087/524288, 2052175/1048576], [0, 0]]]], [[8, 11, 9, 8, 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], [
1026087/524288, 2052175/1048576], [1265743/1048576, 1265743/1048576]]]], [[8,
11, 9, 8, 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], [
1026087/524288, 2052175/1048576], [3, 3]]]], [[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 < 2*u^2-2), z < -(y-u^2+2)^
(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [497805/
1048576, 248903/524288], [3590569/2097152, 3590569/2097152], [-3, -3]]]], [[8,
13, 8, 5, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, And(u^2-2 < y,y
< 2*u^2-2), z = -(y-u^2+2)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152,
3299097/2097152], [497805/1048576, 248903/524288], [3590569/2097152, 3590569/
2097152], [-1166407/1048576, -583203/524288]]]], [[8, 13, 8, 5, 3], [v = 1, 
And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), And(-(y-u
^2+2)^(1/2) < z,z < (y-u^2+2)^(1/2))], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [497805/1048576, 248903/524288], [3590569/2097152,
3590569/2097152], [0, 0]]]], [[8, 13, 8, 5, 4], [v = 1, And(2^(1/2) < u,u < 3^
(1/2)), x = u^2-2, And(u^2-2 < y,y < 2*u^2-2), z = (y-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [497805/1048576, 
248903/524288], [3590569/2097152, 3590569/2097152], [583203/524288, 1166407/
1048576]]]], [[8, 13, 8, 5, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-\
2, And(u^2-2 < y,y < 2*u^2-2), (y-u^2+2)^(1/2) < z], [regular_chain, [[1, 1],
[3299097/2097152, 3299097/2097152], [497805/1048576, 248903/524288], [3590569/
2097152, 3590569/2097152], [3, 3]]]], [[9, 2, 3, 7, 1], [And(1 < v,v < 2^(1/2)
), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), z < -(y-x)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[9, 2, 3, 7, 2], [And(1
< v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3),
z = -(y-x)^(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, 7, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/
2), And(-3 < x,x < -1), And(0 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/
2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152,
-7798593/4194304], [-2, -2], [1/2, 1/2], [0, 0]]]], [[9, 2, 3, 7, 4], [And(1 <
v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), z
= (y-x)^(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, 7, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), 
And(-3 < x,x < -1), And(0 < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-2,
-2], [1/2, 1/2], [3, 3]]]], [[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 = x, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [2,
2], [2, 2], [-1, -1]]]], [[9, 3, 11, 6, 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, 6, 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, 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], [-122559/131072, -7843775/
8388608], [-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], [-122559/131072, -7843775/
8388608], [-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], [-122559/131072, -7843775/8388608], [-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], [-122559/131072, -\
7843775/8388608], [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], [-122559/131072, -7843775/8388608], [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(x-u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [-4, -4], [-8890573/2097152,
-8890573/2097152], [0, 0]]]], [[10, 1, 7, 5, 1], [v = 2^(1/2), u < -2, And(0 <
x,x < 1), And(0 < y,y < x), 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 = -1, z < 0], [regular_chain, [[
741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1, -1
], [-1, -1], [-1, -1]]]], [[10, 3, 4, 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, 4, 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, 9, 2, 5, 1], [v = 2^(1/
2), And(-1 < u,u < 0), x = u^2-3, And(u^2-3 < y,y < 0), z < -(y-u^2+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, 5, 2], [v = 2^(1/2), And(-1 < u,u
< 0), x = u^2-3, And(u^2-3 < y,y < 0), z = -(y-u^2+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, 5, 3], [v = 2^(1/2), And
(-1 < u,u < 0), x = u^2-3, And(u^2-3 < y,y < 0), And(-(y-u^2+3)^(1/2) < z,z <
(y-u^2+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, 5, 4], [v = 2^(1/
2), And(-1 < u,u < 0), x = u^2-3, And(u^2-3 < y,y < 0), z = (y-u^2+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, 5, 5], [v
= 2^(1/2), And(-1 < u,u < 0), x = u^2-3, And(u^2-3 < y,y < 0), (y-u^2+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, 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 = -u^2+1, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [-773191/524288, -1546381/1048576], [-\
773191/524288, -1546381/1048576], [-1, -1]]]], [[10, 15, 2, 2, 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], [-773191/524288, -1546381/1048576], [0, 0]]]], [[10
, 15, 2, 2, 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], [-773191/524288, -\
1546381/1048576], [1, 1]]]], [[10, 17, 1, 1, 1], [v = 2^(1/2), And(3^(1/2) < u
,u < 2), x < -u^2+1, y < x-u^2+3, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [3913339/2097152, 3913339/2097152], [-4, -4], [-6, -6], [0,
0]]]], [[10, 19, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 = z], [regular_chain, [[3, 3], [-5, -5], [15, 15],
[15/2, 15/2], [0, 0]]]], [[11, 5, 9, 9, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) <
u,u < -v), And(0 < x,x < 1), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1/2, 1/2], [3, 3],
[-3, -3]]]], [[11, 5, 9, 9, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
And(0 < x,x < 1), u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3],
[-403851/131072, -403851/131072], [1/2, 1/2], [3, 3], [-3315889/2097152, -\
207243/131072]]]], [[11, 5, 9, 9, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u <
-v), And(0 < x,x < 1), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1/2, 1/2], [3, 3
], [0, 0]]]], [[11, 5, 9, 9, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
And(0 < x,x < 1), u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3],
[-403851/131072, -403851/131072], [1/2, 1/2], [3, 3], [207243/131072, 1657945/
1048576]]]], [[11, 5, 9, 9, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
And(0 < x,x < 1), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3],
[-403851/131072, -403851/131072], [1/2, 1/2], [3, 3], [3, 3]]]], [[11, 7, 10,
4, 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, 4, 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, 4, 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, 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 < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [-5260377/2097152, -657547/262144], [1, 1], [-3, -3]]]], [[11
, 13, 2, 7, 2], [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 = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [-5260377/2097152, -657547/262144], [1, 1], [-7856171
/4194304, -3928085/2097152]]]], [[11, 13, 2, 7, 3], [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, And(-(y-u^2+v^2+1)^(1/2) <
z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [1435023/524288, 1435023
/524288], [-5260377/2097152, -657547/262144], [1, 1], [-1/4194304, -1/4194304]
]]], [[11, 13, 2, 7, 4], [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 = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [-5260377/2097152, -657547/262144], [1, 1], [
982021/524288, 1964043/1048576]]]], [[11, 13, 2, 7, 5], [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, (y-u^2+v^2+1)^(1/2) <
z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-5260377/
2097152, -657547/262144], [1, 1], [3, 3]]]], [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1
)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3, -3
], [-391287/262144, -1565147/1048576], [-3, -3]]]], [[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 = x-u^2+v^2+1, z = -(-u
^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152],
[-3, -3], [-391287/262144, -1565147/1048576], [-1287385/1048576, -160923/
131072]]]], [[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 = x-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], [-3, -3], [
-391287/262144, -1565147/1048576], [0, 0]]]], [[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 = x-u^2+v^2+1, z = (-u^2+v^2+
1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3, -\
3], [-391287/262144, -1565147/1048576], [160923/131072, 1287385/1048576]]]], [
[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-3, -3], [-391287/262144, -1565147/1048576], [3, 3
]]]], [[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 = 0, z < -1], [regular_chain, [[3, 3], [3396811/1048576, 3396811
/1048576], [-1, -1], [0, 0], [-2, -2]]]], [[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 = 0, z = -1], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-1, -1], [0, 0],
[-1, -1]]]], [[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 = 0, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [-1, -1], [0, 0], [0, 0]]]], [[11, 19, 4, 6
, 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, 6, 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, 5, 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 <
-(y-x)^(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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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(x < y,y < u
^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2-v^2+x+1), z = (y-x)^(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(x < y,y < u^2-v^2+x+1), (y-x)^(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], [-1579769/1048576, -3159537/2097152], [-3, -3]]]]
, [[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], [-1579769/1048576, -3159537/2097152]
, [-1281417/1048576, -160177/131072]]]], [[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], [-1579769/1048576, -3159537/2097152], [0, 0]]]], [[
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], [-1579769/1048576, -3159537/2097152], [
160177/131072, 1281417/1048576]]]], [[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], [-\
1579769/1048576, -3159537/2097152], [3, 3]]]], [[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 < u^2-v^2-1, z = z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3161161/
2097152, -395145/262144], [-3, -3], [0, 0]]]], [[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(x < y,y < x-u
^2+v^2+1), z < -(y-x)^(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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/
2) < z,z < (y-x)^(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(x < y,y < x-u^2+v^2+1), z = (y-x)^(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(x < y,y < x-u^2+v^2+1), (y-x)^(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 = 0, z = z], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [1/2, 1/2], [0, 0], [
0, 0]]]], [[1, 18, 4, 2, 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, 2, 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, 2, 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, 2, 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,
8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1, 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], [-1, -1], [
0, 0]]]], [[2, 7, 5, 5, 1], [v = -2^(1/2), And(v < u,u < -1), And(-1 < x,x < -
u^2+1), And(u^2+x-1 < y,y < 0), z < -(y-x)^(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(u^2
+x-1 < y,y < 0), z = -(y-x)^(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(u^2+x-1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(u^2+x-1 < y,y < 0), z = (y-x)^(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(u^2+x-1 < y,y < 0), (y-x)^(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 = -1, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [
-1/2, -1/2], [-1, -1], [-1, -1], [-1, -1]]]], [[2, 9, 4, 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, 4, 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, 13, 3, 8, 1], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1),
y = x-u^2+3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [1265743/1048576, 1265743/1048576], [-2666417/2097152, -2666417/
2097152], [35579/131072, 284633/1048576], [-3, -3]]]], [[2, 13, 3, 8, 2], [v =
-2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1), y = x-u^2+3, z = -(-u^2+3)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576
, 1265743/1048576], [-2666417/2097152, -2666417/2097152], [35579/131072, 
284633/1048576], [-1302471/1048576, -651235/524288]]]], [[2, 13, 3, 8, 3], [v
= -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1), y = x-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], [-2666417/2097152, -2666417/
2097152], [35579/131072, 284633/1048576], [0, 0]]]], [[2, 13, 3, 8, 4], [v = -
2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1), y = x-u^2+3, z = (-u^2+3)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576,
1265743/1048576], [-2666417/2097152, -2666417/2097152], [35579/131072, 284633/
1048576], [651235/524288, 1302471/1048576]]]], [[2, 13, 3, 8, 5], [v = -2^(1/2
), And(1 < u,u < -v), And(u^2-3 < x,x < -1), y = x-u^2+3, (-u^2+3)^(1/2) < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743
/1048576], [-2666417/2097152, -2666417/2097152], [35579/131072, 284633/1048576
], [3, 3]]]], [[2, 15, 4, 3, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -\
1, And(-1 < y,y < -u^2+2), z < -(y+1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-1, -1], [-\
773191/1048576, -773191/1048576], [-2, -2]]]], [[2, 15, 4, 3, 2], [v = -2^(1/2
), And(-v < u,u < 3^(1/2)), x = -1, And(-1 < y,y < -u^2+2), z = -(y+1)^(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, 3, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2))
, x = -1, And(-1 < y,y < -u^2+2), And(-(y+1)^(1/2) < z,z < (y+1)^(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, 3, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -1
, And(-1 < y,y < -u^2+2), z = (y+1)^(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, 3,
5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -1, And(-1 < y,y < -u^2+2), (y
+1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-1, -1], [-773191/1048576, -773191/1048576], [2, 2
]]]], [[3, 1, 5, 6, 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, 6, 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, 6,
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, 6, 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, 6, 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, 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 < -(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, 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^2-1 < y,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], [-2599117/2097152, -2599117/2097152], [-\
583671/524288, -1167341/1048576]]]], [[3, 3, 2, 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^2-1
< 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], [-14373233/8388608, -\
14373233/8388608], [-1299559/524288, -2599117/1048576], [-2599117/2097152, -\
2599117/2097152], [0, 0]]]], [[3, 3, 2, 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^2-1 < y,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], [-2599117/2097152, -2599117/2097152], [1167341/1048576, 583671/
524288]]]], [[3, 3, 2, 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^2-1 < y,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], [-\
2599117/2097152, -2599117/2097152], [3, 3]]]], [[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(u^
2-v^2+x+1 < y,y < 0), z < -(y-x)^(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(u^2-v^2+x+1 < y,y < 0), z = -(y-x)^(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(u^2-v^2+x+1 <
y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(u^2-v^2+x+1 < y,y < 0), z = (y-x)
^(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(u^2-v^2+x+1 < y,y < 0), (y-x)^(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 = -1, z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [-1, -1], [-1, -1], [-1, -1]]]], [[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
= -1, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [
-1, -1], [-1, -1], [0, 0]]]], [[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 = -1, 0 < z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [-1, -1], [1, 1]]]]
, [[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(0 < y,y < x), z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [7909297/2097152, 7909297/2097152], [494331/262144,
494331/262144], [0, 0]]]], [[4, 2, 4, 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, 4, 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, 4, 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, 6, 4, 3, 1], [v = -1, u
= -1, x = 0, And(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1), 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 < -(y+1)^(1/2)], [regular_chain, [[-1,
-1], [0, 0], [-1, -1], [2, 2], [-3, -3]]]], [[4, 8, 4, 7, 2], [v = -1, u = 0,
x = -1, 1 < y, z = -(y+1)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-1, -1],
[2, 2], [-1816187/1048576, -3632373/2097152]]]], [[4, 8, 4, 7, 3], [v = -1, u
= 0, x = -1, 1 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[
-1, -1], [0, 0], [-1, -1], [2, 2], [-1/4194304, -1/4194304]]]], [[4, 8, 4, 7,
4], [v = -1, u = 0, x = -1, 1 < y, z = (y+1)^(1/2)], [regular_chain, [[-1, -1]
, [0, 0], [-1, -1], [2, 2], [908093/524288, 1816187/1048576]]]], [[4, 8, 4, 7,
5], [v = -1, u = 0, x = -1, 1 < y, (y+1)^(1/2) < z], [regular_chain, [[-1, -1]
, [0, 0], [-1, -1], [2, 2], [3, 3]]]], [[4, 14, 2, 2, 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, 1, 1], [v = -1, 3^(1/2)
< u, x = u^2-2, y < 0, z = z], [regular_chain, [[-1, -1], [3, 3], [7, 7], [-1,
-1], [0, 0]]]], [[5, 4, 6, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 3, 1
], [And(-1 < v,v < 0), u = v, And(0 < x,x < 1), And(0 < y,y < x), 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, 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), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1/2,
-1/2], [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152
], [2, 2], [-3, -3]]]], [[5, 9, 5, 9, 2], [And(-1 < v,v < 0), And(-v < u,u < (
v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x
,x < u^2-v^2-1), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9,
4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-\
1), u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 5], [And(-1 < v,v < 0), And(
-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), u^2-v^2+x+1 < y, (y-x)^(
1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152],
[-1672995/2097152, -1672995/2097152], [2, 2], [3, 3]]]], [[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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 
343151/262144], [-1, -1], [767309/524288, 1534619/1048576], [-3, -3]]]], [[5,
11, 4, 8, 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], [767309/524288, 1534619/1048576], [-\
3291611/2097152, -1645805/1048576]]]], [[5, 11, 4, 8, 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], [767309/524288, 1534619/1048576], [0, 0]]]],
[[5, 11, 4, 8, 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], [767309/524288, 1534619/1048576], [
1645805/1048576, 822903/524288]]]], [[5, 11, 4, 8, 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],
[767309/524288, 1534619/1048576], [3, 3]]]], [[6, 1, 11, 1, 1], [v = 0, u < -2
^(1/2), u^2-1 < x, y < 0, z = z], [regular_chain, [[0, 0], [-3, -3], [9, 9], [
-1, -1], [0, 0]]]], [[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 < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [239655/1048576, 239655/1048576], [4, 4],
[-3, -3]]]], [[6, 3, 7, 9, 2], [v = 0, And(-2^(1/2) < u,u < -1), And(0 < x,x <
u^2-1), u^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1265743/
1048576, -1265743/1048576], [239655/1048576, 239655/1048576], [4, 4], [-\
32581713/16777216, -2036357/1048576]]]], [[6, 3, 7, 9, 3], [v = 0, And(-2^(1/2
) < u,u < -1), And(0 < x,x < u^2-1), u^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-
x)^(1/2))], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [
239655/1048576, 239655/1048576], [4, 4], [0, 0]]]], [[6, 3, 7, 9, 4], [v = 0,
And(-2^(1/2) < u,u < -1), And(0 < x,x < u^2-1), u^2+x+1 < y, z = (y-x)^(1/2)],
[regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [239655/1048576
, 239655/1048576], [4, 4], [2036357/1048576, 1018179/524288]]]], [[6, 3, 7, 9,
5], [v = 0, And(-2^(1/2) < u,u < -1), And(0 < x,x < u^2-1), u^2+x+1 < y, (y-x)
^(1/2) < z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [
239655/1048576, 239655/1048576], [4, 4], [3, 3]]]], [[6, 9, 6, 1, 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], [-2, -2], [0, 0]]]], [[6, 11, 3, 2,
1], [v = 0, 2^(1/2) < u, And(-u^2-1 < x,x < -1), y = x-u^2+1, z = z], [
regular_chain, [[0, 0], [3, 3], [-11/2, -11/2], [-27/2, -27/2], [0, 0]]]], [[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-u^2+v^2+1, z = z], [regular_chain, [[1/2, 1/2]
, [-343151/262144, -343151/262144], [1534619/2097152, 1534619/2097152], [
281267/1048576, 70317/262144], [0, 0]]]], [[7, 5, 8, 1, 1], [And(0 < v,v < 1),
And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y < 0, z = z], [regular_chain, [[1/2, 1
/2], [-1696631/2097152, -1696631/2097152], [0, 0], [-1, -1], [0, 0]]]], [[8, 1
, 3, 7, 1], [v = 1, u < -3^(1/2), And(-u^2 < x,x < -1), And(0 < y,y < u^2+x),
z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-5, -5], [2, 2], [-4, -\
4]]]], [[8, 1, 3, 7, 2], [v = 1, u < -3^(1/2), And(-u^2 < x,x < -1), And(0 < y
,y < u^2+x), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-5, -5], [
2, 2], [-5548543/2097152, -2774271/1048576]]]], [[8, 1, 3, 7, 3], [v = 1, u <
-3^(1/2), And(-u^2 < x,x < -1), And(0 < y,y < u^2+x), And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[1, 1], [-3, -3], [-5, -5], [2, 2], [0, 0]]]],
[[8, 1, 3, 7, 4], [v = 1, u < -3^(1/2), And(-u^2 < x,x < -1), And(0 < y,y < u^
2+x), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-5, -5], [2, 2], [
2774271/1048576, 10837/4096]]]], [[8, 1, 3, 7, 5], [v = 1, u < -3^(1/2), And(-
u^2 < x,x < -1), And(0 < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[1,
1], [-3, -3], [-5, -5], [2, 2], [4, 4]]]], [[8, 3, 1, 1, 1], [v = 1, And(-3^(1
/2) < u,u < -2^(1/2)), x < -u^2, y < x-u^2+2, z = z], [regular_chain, [[1, 1],
[-6598195/4194304, -6598195/4194304], [-4, -4], [-6, -6], [0, 0]]]], [[8, 7, 3
, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = 1, And(0
< u,u < 1), x = u^2-2, 0 < y, z < -(y-u^2+2)^(1/2)], [regular_chain, [[1, 1],
[1/2, 1/2], [-7/4, -7/4], [1, 1], [-3, -3]]]], [[8, 9, 2, 7, 2], [v = 1, And(0
< u,u < 1), x = u^2-2, 0 < y, z = -(y-u^2+2)^(1/2)], [regular_chain, [[1, 1],
[1/2, 1/2], [-7/4, -7/4], [1, 1], [-1738867/1048576, -3477733/2097152]]]], [[8
, 9, 2, 7, 3], [v = 1, And(0 < u,u < 1), x = u^2-2, 0 < y, And(-(y-u^2+2)^(1/2
) < z,z < (y-u^2+2)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2], [-7/4, -7/4]
, [1, 1], [-1/4194304, -1/4194304]]]], [[8, 9, 2, 7, 4], [v = 1, And(0 < u,u <
1), x = u^2-2, 0 < y, z = (y-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2
], [-7/4, -7/4], [1, 1], [869433/524288, 1738867/1048576]]]], [[8, 9, 2, 7, 5]
, [v = 1, And(0 < u,u < 1), x = u^2-2, 0 < y, (y-u^2+2)^(1/2) < z], [
regular_chain, [[1, 1], [1/2, 1/2], [-7/4, -7/4], [1, 1], [3, 3]]]], [[8, 14,
7, 4, 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, 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), z < -(y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-1, -1], [7909297/2097152, 7909297/2097152], [-4, -4]]]],
[[9, 1, 4, 7, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -1, And(0 <
y,y < u^2-v^2), z = -(y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-1, -1], [7909297/2097152, 7909297/2097152], [-286309/
131072, -2290471/1048576]]]], [[9, 1, 4, 7, 3], [And(1 < v,v < 2^(1/2)), u < -
(v^2+2)^(1/2), x = -1, And(0 < y,y < u^2-v^2), And(-(y+1)^(1/2) < z,z < (y+1)^
(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1, -\
1], [7909297/2097152, 7909297/2097152], [0, 0]]]], [[9, 1, 4, 7, 4], [And(1 <
v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -1, And(0 < y,y < u^2-v^2), z = (y+1)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1
], [7909297/2097152, 7909297/2097152], [2290471/1048576, 286309/131072]]]], [[
9, 1, 4, 7, 5], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -1, And(0 < y
,y < u^2-v^2), (y+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-1, -1], [7909297/2097152, 7909297/2097152], [4, 4]]]], [
[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), z
= -(y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), z =
(y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), (y-x)^(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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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]
, [1527887/2097152, 1527887/2097152], [763943/1048576, 95493/131072], [-1, -1]
]]], [[9, 9, 9, 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], [1527887/2097152, 1527887/2097152],
[763943/1048576, 95493/131072], [0, 0]]]], [[9, 9, 9, 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], [
1527887/2097152, 1527887/2097152], [763943/1048576, 95493/131072], [1, 1]]]],
[[9, 11, 8, 7, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x =
0, -u^2+v^2+1 < y, z < -y^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [0, 0], [3, 3], [-3, -3]]]], [[9,
11, 8, 7, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 0, -u
^2+v^2+1 < y, 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, 7, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^
(1/2) < u,u < v), x = 0, -u^2+v^2+1 < y, 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, 7, 4], [And
(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 0, -u^2+v^2+1 < y, 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, 7, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 0, -u
^2+v^2+1 < y, y^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576
], [987341/1048576, 987341/1048576], [0, 0], [3, 3], [3, 3]]]], [[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(0 < y,y < x-u^2+v^2+1), z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [2, 2], [797593/1048576, 
797593/1048576], [0, 0]]]], [[9, 17, 8, 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, 8, 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, 8, 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, 9, 7, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(0 < x,
x < 1), And(x-u^2+3 < y,y < u^2+x-1), z < -(y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [1/2, 1
/2], [3/2, 3/2], [-2, -2]]]], [[10, 5, 9, 7, 2], [v = 2^(1/2), And(-3^(1/2) <
u,u < -v), And(0 < x,x < 1), And(x-u^2+3 < y,y < u^2+x-1), z = -(y-x)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195
/4194304], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]], [[10, 5, 9, 7, 3], [v = 2^(1/2
), And(-3^(1/2) < u,u < -v), And(0 < x,x < 1), And(x-u^2+3 < y,y < u^2+x-1), 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [1/2, 1/2], [3/2, 3/2]
, [0, 0]]]], [[10, 5, 9, 7, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(0
< x,x < 1), And(x-u^2+3 < y,y < u^2+x-1), z = (y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [1/2, 1
/2], [3/2, 3/2], [1, 1]]]], [[10, 5, 9, 7, 5], [v = 2^(1/2), And(-3^(1/2) < u,
u < -v), And(0 < x,x < 1), And(x-u^2+3 < y,y < u^2+x-1), (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[10, 7, 10, 6, 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],
[763943/524288, 1527887/1048576], [-2, -2]]]], [[10, 7, 10, 6, 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],
[763943/524288, 1527887/1048576], [-1417877/2097152, -354469/524288]]]], [[10,
7, 10, 6, 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], [763943/524288, 1527887/
1048576], [0, 0]]]], [[10, 7, 10, 6, 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], [763943/524288, 
1527887/1048576], [354469/524288, 708939/1048576]]]], [[10, 7, 10, 6, 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], [763943/524288, 1527887/1048576], [2, 2]]]], [[10, 11, 9, 6,
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, 6, 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, 6, 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, 7, 1], [v = 2^(1/2), And(1 < u,u < v), x = 0,
-u^2+3 < y, z < -y^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[1265743/1048576, 1265743/1048576], [0, 0], [3, 3], [-3, -3]]]], [[10, 13, 8,
7, 2], [v = 2^(1/2), And(1 < u,u < v), x = 0, -u^2+3 < y, 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
, 7, 3], [v = 2^(1/2), And(1 < u,u < v), x = 0, -u^2+3 < y, 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, 7, 4], [v = 2^(1/2), And(1 < u,u < v), x = 0, -u^2+3 < y, 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, 7,
5], [v = 2^(1/2), And(1 < u,u < v), x = 0, -u^2+3 < y, y^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [0, 0], [3, 3], [3, 3]]]], [[11, 2, 9, 6, 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, 6, 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, 6, 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, 8, 5,
1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = 1, And(1 < y,y < 3), z < -(y-1)^(1/2
)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [1, 1], [2, 2]
, [-2, -2]]]], [[11, 4, 8, 5, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = 1, And
(1 < y,y < 3), z = -(y-1)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576,
-207243/65536], [1, 1], [2, 2], [-1, -1]]]], [[11, 4, 8, 5, 3], [2^(1/2) < v,
u = -(v^2+1)^(1/2), x = 1, And(1 < y,y < 3), 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, 5, 4], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = 1, And
(1 < y,y < 3), z = (y-1)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -\
207243/65536], [1, 1], [2, 2], [1, 1]]]], [[11, 4, 8, 5, 5], [2^(1/2) < v, u =
-(v^2+1)^(1/2), x = 1, And(1 < y,y < 3), (y-1)^(1/2) < z], [regular_chain, [[3
, 3], [-3315889/1048576, -207243/65536], [1, 1], [2, 2], [2, 2]]]], [[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 < 2*u^2-2*v^2, z = z], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [-657547/262144, -5260375/2097152], [-5, -5], [0, 0]]]], [[
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(u^2-v^2+x+1 < y,y < x-u^2+v^2+1), z < -(y-x
)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [2, 2],
[3, 3], [-2, -2]]]], [[11, 15, 11, 7, 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-u^2+v^2+1), z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [2, 2], [3, 3], [-\
1, -1]]]], [[11, 15, 11, 7, 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-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [2, 2], [3,
3], [0, 0]]]], [[11, 15, 11, 7, 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-u^2+v^2+1), z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [2, 2], [3, 3], [1
, 1]]]], [[11, 15, 11, 7, 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-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[3
, 3], [6111549/2097152, 6111549/2097152], [2, 2], [3, 3], [2, 2]]]], [[11, 18,
1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 11, 4, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, u^2-v^2-1 <
x, y = x-u^2+v^2+1, z = z], [regular_chain, [[3, 3], [5, 5], [16, 16], [1, 1],
[0, 0]]]], [[1, 2, 1, 5, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), x < -3, And(x
< y,y < x+3), z < -(y-x)^(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 < y,y < x+3), z = -(y-x)^(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 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y
-x)^(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 < y,y < x+3), z = (y-x)^(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 < y,y < x+3), (y-x)^(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 = x, z < 0], [regular_chain, [[-3, -3], [-3396811/1048576,
-3396811/1048576], [1566621/2097152, 1566621/2097152], [391655/524288, 783311/
1048576], [-1, -1]]]], [[1, 3, 9, 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], [1566621/2097152, 1566621/
2097152], [391655/524288, 783311/1048576], [0, 0]]]], [[1, 3, 9, 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]
, [1566621/2097152, 1566621/2097152], [391655/524288, 783311/1048576], [1, 1]]
]], [[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
(0 < y,y < u^2-v^2+x+1), z = z], [regular_chain, [[-3, -3], [-22960369/8388608
, -22960369/8388608], [2, 2], [391029/524288, 391029/524288], [0, 0]]]], [[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-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3],
[6111549/2097152, 6111549/2097152], [-657289/524288, -657289/524288], [133001/
524288, 266003/1048576], [-3, -3]]]], [[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-u^2+v^2+1, z = -(-u^
2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152]
, [-657289/524288, -657289/524288], [133001/524288, 266003/1048576], [-1287385
/1048576, -160923/131072]]]], [[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-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], [-657289/524288, -657289/524288], [133001/524288, 
266003/1048576], [0, 0]]]], [[1, 15, 3, 8, 4], [v < -2^(1/2), And((v^2-1)^(1/2
) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1
/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-657289/
524288, -657289/524288], [133001/524288, 266003/1048576], [160923/131072, 
1287385/1048576]]]], [[1, 15, 3, 8, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), And(u^2-v^2-1 < x,x < -1), y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-657289/524288,
-657289/524288], [133001/524288, 266003/1048576], [3, 3]]]], [[1, 17, 4, 3, 1]
, [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(-1 < y,y < -u^2+v^
2), z < -(y+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-1, -1], [-195745/262144, -195745/262144], [-2, -2]]]], [[1, 17, 4,
3, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(-1 < y,y < -u
^2+v^2), z = -(y+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-1, -1], [-195745/262144, -195745/262144], [-527729/1048576, -\
1055457/2097152]]]], [[1, 17, 4, 3, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^
(1/2)), x = -1, And(-1 < y,y < -u^2+v^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2)
)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1, -1], [-\
195745/262144, -195745/262144], [-1/4194304, -1/4194304]]]], [[1, 17, 4, 3, 4]
, [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(-1 < y,y < -u^2+v^
2), z = (y+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072
], [-1, -1], [-195745/262144, -195745/262144], [32983/65536, 527729/1048576]]]
], [[1, 17, 4, 3, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -1, 
And(-1 < y,y < -u^2+v^2), (y+1)^(1/2) < z], [regular_chain, [[-3, -3], [403851
/131072, 403851/131072], [-1, -1], [-195745/262144, -195745/262144], [2, 2]]]]
, [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3],
[5, 5], [-9, -9], [4, 4], [-5, -5]]]], [[1, 21, 3, 7, 2], [v < -2^(1/2), (v^2+
2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2+x+1), z = -(y-
x)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-9, -9], [4, 4], [-3780695/
1048576, -7561389/2097152]]]], [[1, 21, 3, 7, 3], [v < -2^(1/2), (v^2+2)^(1/2)
< u, And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [5, 5], [-9, -9], [4, 4], [-\
1/4194304, -1/4194304]]]], [[1, 21, 3, 7, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u
, And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [5, 5], [-9, -9], [4, 4], [1890347/524288, 3780695/
1048576]]]], [[1, 21, 3, 7, 5], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-u^2+v^2
-1 < x,x < -1), And(0 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain,
[[-3, -3], [5, 5], [-9, -9], [4, 4], [5, 5]]]], [[2, 1, 9, 4, 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,
6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = -2^(1/2), And(0 < u,u < 1), 1 < x, And(
u^2+x-1 < y,y < x), 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 < 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [908093/524288, 1816187/1048576], [-1, -1], [-1, -1], [-1, -1]
]]], [[2, 16, 4, 2, 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, 2, 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, 2, 2, 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, 1, 7, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x < -2, 0 < y, z <
-(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915
/262144, -3287319/2097152], [-3, -3], [1, 1], [-3, -3]]]], [[3, 4, 1, 7, 2], [
And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x < -2, 0 < y, z = -(y-x)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-3, -3], [1, 1], [-2, -2]]]], [[3, 4, 1, 7, 3], [And(-2^(1/
2) < v,v < -1), u = -(v^2+1)^(1/2), x < -2, 0 < y, And(-(y-x)^(1/2) < z,z < (y
-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/
262144, -3287319/2097152], [-3, -3], [1, 1], [0, 0]]]], [[3, 4, 1, 7, 4], [And
(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x < -2, 0 < y, z = (y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-3, -3], [1, 1], [2, 2]]]], [[3, 4, 1, 7, 5], [And(-2^(1/2)
< v,v < -1), u = -(v^2+1)^(1/2), x < -2, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-3, -3], [1, 1], [3, 3]]]], [[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-u^2+v^2+1, z < -(-u
^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [2, 2], [2655491/1048576, 663873/262144],
[-2, -2]]]], [[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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [
2, 2], [2655491/1048576, 663873/262144], [-1530309/2097152, -382577/524288]]]]
, [[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-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], [2, 2], [2655491/1048576, 663873/262144], [0, 0]]]], [[3, 5,
11, 6, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y
= x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [2655491/
1048576, 663873/262144], [382577/524288, 765155/1048576]]]], [[3, 5, 11, 6, 5]
, [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y = x-u^2+v
^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [2655491/1048576, 
663873/262144], [2, 2]]]], [[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 < -(y+1)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-1, -1]
, [-1/2, -1/2], [-2, -2]]]], [[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 = -(y+1)^(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, 3, 3], [
And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -1, And(-1 < y,y < 0), And(-(
y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(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, 3, 5], [And(-2^(1/2) < v,v < -1), u = (v
^2-1)^(1/2), x = -1, And(-1 < y,y < 0), (y+1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-1, -1],
[-1/2, -1/2], [2, 2]]]], [[3, 12, 2, 5, 1], [And(-2^(1/2) < v,v < -1), u = -v,
x = -1, 0 < y, z < -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [1, 1], [-3, -3]]]],
[[3, 12, 2, 5, 2], [And(-2^(1/2) < v,v < -1), u = -v, x = -1, 0 < y, z = -(y+1
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/
1048576, 1265743/1048576], [-1, -1], [1, 1], [-1482911/1048576, -741455/524288
]]]], [[3, 12, 2, 5, 3], [And(-2^(1/2) < v,v < -1), u = -v, x = -1, 0 < y, And
(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [1, 1], [0, 0]
]]], [[3, 12, 2, 5, 4], [And(-2^(1/2) < v,v < -1), u = -v, x = -1, 0 < y, z =
(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/
1048576, 1265743/1048576], [-1, -1], [1, 1], [741455/524288, 1482911/1048576]]
]], [[3, 12, 2, 5, 5], [And(-2^(1/2) < v,v < -1), u = -v, x = -1, 0 < y, (y+1)
^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/
1048576, 1265743/1048576], [-1, -1], [1, 1], [3, 3]]]], [[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],
[-1299559/524288, -2599117/1048576], [-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], [-1299559/
524288, -2599117/1048576], [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], [-1299559/524288, -\
2599117/1048576], [1, 1]]]], [[3, 16, 8, 3, 1], [And(-2^(1/2) < v,v < -1), u =
(v^2+2)^(1/2), x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [1, 1], [1/2, 1/2
], [0, 0]]]], [[4, 3, 5, 5, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-\
1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x
< y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x <
y,y < 0), (y-x)^(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 = -u^2+1, z < -(-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1, -1], [-\
479311/1048576, -239655/524288], [-2, -2]]]], [[4, 5, 4, 4, 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], [-479311/1048576, -\
239655/524288], [-772605/1048576, -1545209/2097152]]]], [[4, 5, 4, 4, 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], [-479311/1048576, -239655/524288], [-1/4194304, -1/4194304
]]]], [[4, 5, 4, 4, 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], [-479311/1048576, -239655/524288], [193151/262144, 772605/
1048576]]]], [[4, 5, 4, 4, 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], [-479311/1048576, -239655/524288], [2, 2]]]], [[4,
11, 4, 3, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, And(-1 < y,y < -u^2+1),
z < -(y+1)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-1, -1], [-1527887/2097152, -1527887/2097152], [-2, -2]]]], [[4, 11
, 4, 3, 2], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, And(-1 < y,y < -u^2+1), z
= -(y+1)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576]
, [-1, -1], [-1527887/2097152, -1527887/2097152], [-273157/524288, -1092627/
2097152]]]], [[4, 11, 4, 3, 3], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, And(-\
1 < y,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], [-1527887/2097152, -\
1527887/2097152], [-1/4194304, -1/4194304]]]], [[4, 11, 4, 3, 4], [v = -1, And
(1 < u,u < 2^(1/2)), x = -1, And(-1 < y,y < -u^2+1), z = (y+1)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1, -1], [-\
1527887/2097152, -1527887/2097152], [546313/1048576, 273157/524288]]]], [[4, 
11, 4, 3, 5], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, And(-1 < y,y < -u^2+1),
(y+1)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576
], [-1, -1], [-1527887/2097152, -1527887/2097152], [2, 2]]]], [[4, 13, 3, 2, 1
], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), y = x-u^2+2, z
= z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-3643533
/2097152, -3643533/2097152], [-2319573/1048576, -579893/262144], [0, 0]]]], [[
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 = x-u^2+v^2+1, z = z], [regular_chain, [[-1/2, -1/2], [-3, -3], [35/8, 
35/8], [-27/8, -27/8], [0, 0]]]], [[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 = z], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [0, 0], [-2, -\
2], [0, 0]]]], [[5, 12, 4, 1, 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], [-3, -\
3], [0, 0]]]], [[5, 13, 11, 9, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, u^2-
v^2-1 < x, u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2],
[3, 3], [9, 9], [20, 20], [-5, -5]]]], [[5, 13, 11, 9, 2], [And(-1 < v,v < 0),
(v^2+2)^(1/2) < u, u^2-v^2-1 < x, u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3, 3], [9, 9], [20, 20], [-1738867/524288, -\
3477733/1048576]]]], [[5, 13, 11, 9, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u
, u^2-v^2-1 < x, u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [3, 3], [9, 9], [20, 20], [0, 0]]]], [[5, 13, 11
, 9, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, u^2-v^2+x+1 < y
, z = (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [9, 9], [20, 20], [
3477733/1048576, 1738867/524288]]]], [[5, 13, 11, 9, 5], [And(-1 < v,v < 0), (
v^2+2)^(1/2) < u, u^2-v^2-1 < x, u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [3, 3], [9, 9], [20, 20], [5, 5]]]], [[6, 4, 8,
7, 1], [v = 0, u = -1, x = 1, 3 < y, z < -(y-1)^(1/2)], [regular_chain, [[0, 0
], [-1, -1], [1, 1], [4, 4], [-3, -3]]]], [[6, 4, 8, 7, 2], [v = 0, u = -1, x
= 1, 3 < y, z = -(y-1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [1, 1], [4,
4], [-1816187/1048576, -3632373/2097152]]]], [[6, 4, 8, 7, 3], [v = 0, u = -1,
x = 1, 3 < y, 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, 7, 4], [v =
0, u = -1, x = 1, 3 < y, z = (y-1)^(1/2)], [regular_chain, [[0, 0], [-1, -1],
[1, 1], [4, 4], [908093/524288, 1816187/1048576]]]], [[6, 4, 8, 7, 5], [v = 0,
u = -1, x = 1, 3 < y, (y-1)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [1,
1], [4, 4], [3, 3]]]], [[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 = -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, 1, 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], [-1, -1], [0, 0]]]],
[[7, 7, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 3, 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^2-1 < 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], [-290131/
262144, -290131/262144], [-2, -2]]]], [[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(-u^2+v^2-1 < 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], [-290131/262144, -290131
/262144], [-1144335/2097152, -572167/1048576]]]], [[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(-u^2+v^2-1 < 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], [-290131/262144, -290131/262144], [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(-u^2+v^2-1 < 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], [-290131/262144, -290131/262144], [572167/1048576, 71521/131072]]]],
[[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(-u^2+v^2-1 < 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], [-290131/262144, -290131/262144], [2, 2]]]], [[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 = 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, 6, 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, 6, 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, 13, 4, 9, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -1, u^
2-v^2 < y, z < -(y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-1, -1], [
10, 10], [-5, -5]]]], [[7, 13, 4, 9, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u,
x = -1, u^2-v^2 < y, z = -(y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [
-1, -1], [10, 10], [-1738867/524288, -3477733/1048576]]]], [[7, 13, 4, 9, 3],
[And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -1, u^2-v^2 < y, And(-(y+1)^(1/2) <
z,z < (y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3], [-1, -1], [10, 10],
[0, 0]]]], [[7, 13, 4, 9, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -1, u^
2-v^2 < y, z = (y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-1, -1], [
10, 10], [3477733/1048576, 1738867/524288]]]], [[7, 13, 4, 9, 5], [And(0 < v,v
< 1), (v^2+2)^(1/2) < u, x = -1, u^2-v^2 < y, (y+1)^(1/2) < z], [regular_chain
, [[1/2, 1/2], [3, 3], [-1, -1], [10, 10], [5, 5]]]], [[8, 3, 10, 9, 1], [v =
1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1, u^2+1 < y, z < -(y-1)^(1/2)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [1, 1], [5, 5],
[-3, -3]]]], [[8, 3, 10, 9, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1,
u^2+1 < y, z = -(y-1)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [1, 1], [5, 5], [-2, -2]]]], [[8, 3, 10, 9, 3], [v = 1, And(
-3^(1/2) < u,u < -2^(1/2)), x = 1, u^2+1 < y, 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, 9, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)),
x = 1, u^2+1 < y, z = (y-1)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304
, -6598195/4194304], [1, 1], [5, 5], [2, 2]]]], [[8, 3, 10, 9, 5], [v = 1, And
(-3^(1/2) < u,u < -2^(1/2)), x = 1, u^2+1 < y, (y-1)^(1/2) < z], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [1, 1], [5, 5],
[3, 3]]]], [[8, 5, 10, 3, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = 1, And(0 <
y,y < 1), z = z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576
], [1, 1], [1/2, 1/2], [0, 0]]]], [[8, 11, 9, 5, 1], [v = 1, And(1 < u,u < 2^(
1/2)), And(0 < x,x < 1), And(x < y,y < x-u^2+2), z < -(y-x)^(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(x < y,y < x-u^2+2), z = -(y-x)^(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(x < y,y <
x-u^2+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < x-u^2+2), z = (y-x)^(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(x < y,y < x-
u^2+2), (y-x)^(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 = 2*u^2-2, z < -u
], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [497805/
1048576, 248903/524288], [3092763/1048576, 773191/262144], [-3, -3]]]], [[8, 
13, 8, 6, 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], [3092763/1048576, 773191/262144], [-3299097/2097152,
-3299097/2097152]]]], [[8, 13, 8, 6, 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], [3092763/1048576,
773191/262144], [-1/4194304, -1/4194304]]]], [[8, 13, 8, 6, 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], [
3092763/1048576, 773191/262144], [412387/262144, 1649549/1048576]]]], [[8, 13,
8, 6, 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], [3092763/1048576, 773191/262144], [3, 3]]]], [[9, 2, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 1], [And(1 < v,v
< 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y
, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [2, 2], [6, 6], [-3, -3]]]], [[9, 3, 11,
9, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1
< x, u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [2, 2], [6, 6], [-2,
-2]]]], [[9, 3, 11, 9, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [2, 2], [6, 6], [0, 0]]]], [[9, 3, 11, 9, 4], [And(1 < v,v
< 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, u^2-v^2+x+1 < y
, z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [2, 2], [6, 6], [2, 2]]]], [[9, 3, 11, 9
, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 <
x, u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [2, 2], [6, 6], [3,
3]]]], [[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 < -u^2+v^2-1, z = z], [regular_chain, [[1265743/1048576,
1265743/1048576], [1454701/1048576, 1454701/1048576], [-384703/262144, -\
1538811/1048576], [-3, -3], [0, 0]]]], [[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 = x, z < 0],
[regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-4, -4], [-4, -4], [-1, -1]]]], [[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 = x, z = 0
], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327
/524288], [-4, -4], [-4, -4], [0, 0]]]], [[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 = x, 0 < z]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-4, -4], [-4, -4], [1, 1]]]], [[10, 1, 7, 4, 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, 7, 1], [v = 2^(
1/2), And(-2 < u,u < -3^(1/2)), x = -1, And(0 < y,y < u^2-2), z < -(y+1)^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [-1, -1], [1554043/2097152, 1554043/2097152], [-3, -3]]]], [
[10, 3, 4, 7, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, And(0 < y,y
< u^2-2), z = -(y+1)^(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, 7, 3], [v = 2^(1/
2), And(-2 < u,u < -3^(1/2)), x = -1, And(0 < y,y < u^2-2), And(-(y+1)^(1/2) <
z,z < (y+1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [-1, -1], [1554043/2097152, 1554043/
2097152], [0, 0]]]], [[10, 3, 4, 7, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2))
, x = -1, And(0 < y,y < u^2-2), z = (y+1)^(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, 7, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, And(0 < y,y < u^2
-2), (y+1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [-1, -1], [1554043/2097152, 1554043/
2097152], [3, 3]]]], [[10, 9, 2, 2, 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, 8, 5, 1], [v
= 2^(1/2), u = 0, x = 1, And(1 < y,y < 4), z < -(y-1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [0, 0], [1, 1], [5/2, 5/2], [-3, -3]]]], [[
10, 10, 8, 5, 2], [v = 2^(1/2), u = 0, x = 1, And(1 < y,y < 4), 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, 5, 3], [v = 2^(1/2),
u = 0, x = 1, And(1 < y,y < 4), 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, 5, 4], [v = 2^(1/2), u = 0, x = 1, And(1 < y,y < 4), 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, 5, 5], [v =
2^(1/2), u = 0, x = 1, And(1 < y,y < 4), (y-1)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [1, 1], [5/2, 5/2], [3, 3]]]], [[10,
15, 2, 1, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -u^2+1, y < -u^2+1, z
= z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-773191/524288, -1546381/1048576], [-3, -3], [0, 0]]]], [[
10, 17, 1, 4, 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, 4, 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, 4, 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
, 5, 1], [v = 2^(1/2), 2 < u, x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y
< 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) <
z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1
)^(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 = 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 6
, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = x-u^
2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [1/2, 1/2], [131935/131072, 1055481/1048576], [-2, -2]]]], [[
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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [1/2, 1/2], [131935/131072, 1055481/1048576],
[-373161/524288, -1492643/2097152]]]], [[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-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], [1/2, 1/2], [131935/131072, 1055481/1048576], [-1/4194304, -1
/4194304]]]], [[11, 5, 9, 6, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
And(0 < x,x < 1), y = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[
3, 3], [-403851/131072, -403851/131072], [1/2, 1/2], [131935/131072, 1055481/
1048576], [746321/1048576, 373161/524288]]]], [[11, 5, 9, 6, 5], [2^(1/2) < v,
And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = x-u^2+v^2+1, (-u^2+v^2+1
)^(1/2) < z], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1/2,
1/2], [131935/131072, 1055481/1048576], [2, 2]]]], [[11, 7, 10, 5, 1], [2^(1/2
) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 1, And(1 < y,y < u^2-v^2+2), 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(1 < y,y < u^2-v^2+2), 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(1 < 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], [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(1 < y,y < u^2-v^2+2), 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(1 < y,y <
u^2-v^2+2), (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 = 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, 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 = 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, 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 = 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, 6, 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, 6, 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, 15, 1, 9, 1], [2^(1/2) < v, And((v^2-\
1)^(1/2) < u,u < v), x < u^2-v^2-1, 0 < y, z < -(y-x)^(1/2)], [regular_chain,
[[3, 3], [6111549/2097152, 6111549/2097152], [-3, -3], [1, 1], [-3, -3]]]], [[
11, 15, 1, 9, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, 0
< y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-3, -3], [1, 1], [-2, -2]]]], [[11, 15, 1, 9, 3], [2^(1/2) < v, And
((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x
)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3, -\
3], [1, 1], [0, 0]]]], [[11, 15, 1, 9, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u
,u < v), x < u^2-v^2-1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-3, -3], [1, 1], [2, 2]]]], [[11, 15, 1, 9
, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, 0 < y, (y-x)^
(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3,
-3], [1, 1], [3, 3]]]], [[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 < -1), z = z], [regular_chain
, [[3, 3], [3396811/1048576, 3396811/1048576], [-1, -1], [-653799/524288, -\
653799/524288], [0, 0]]]], [[11, 21, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 < 0), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072,
-403851/131072], [-3, -3], [-3159537/4194304, -3159537/4194304], [-3, -3]]]],
[[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 < 0), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-3, -3], [-3159537/4194304, -3159537/4194304]
, [-1571713/1048576, -12279/8192]]]], [[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 < 0), And(-(y-x)
^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-3, -3], [-3159537/4194304, -3159537/4194304], [0, 0]]]], [[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 < 0), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-3, -3], [-3159537/4194304, -3159537/4194304]
, [12279/8192, 1571713/1048576]]]], [[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 < 0), (y-x)^(1/2)
< z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-3, -3], [
-3159537/4194304, -3159537/4194304], [3, 3]]]], [[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 = u^2-v^2-1, z < 0], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3161161/
2097152, -395145/262144], [-3161161/2097152, -395145/262144], [-1, -1]]]], [[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
= u^2-v^2-1, z = 0], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-3161161/2097152, -395145/262144], [-3161161/2097152, -395145/
262144], [0, 0]]]], [[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 = u^2-v^2-1, 0 < z], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-3161161/2097152, -395145/262144], [-\
3161161/2097152, -395145/262144], [1, 1]]]], [[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 = x, z < 0], [
regular_chain, [[-3, -3], [0, 0], [-11, -11], [-11, -11], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-3, -3], [0, 0], [-11, -11], [-11, -11
], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-3, -3], [0, 0],
[-11, -11], [-11, -11], [1, 1]]]], [[1, 12, 7, 3, 1], [v < -2^(1/2), u = (v^2-\
2)^(1/2), And(0 < x,x < 1), And(x-1 < 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, 3, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), z <
-(y+1)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1
, -1], [-1/2, -1/2], [-2, -2]]]], [[1, 18, 4, 3, 2], [v < -2^(1/2), u = (v^2+1
)^(1/2), x = -1, And(-1 < y,y < 0), z = -(y+1)^(1/2)], [regular_chain, [[-3, -\
3], [207243/65536, 3315889/1048576], [-1, -1], [-1/2, -1/2], [-1482911/2097152
, -741455/1048576]]]], [[1, 18, 4, 3, 3], [v < -2^(1/2), u = (v^2+1)^(1/2), x
= -1, And(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(1/2)], [regular_chain, [[-3, -3], [207243/65536,
3315889/1048576], [-1, -1], [-1/2, -1/2], [741455/1048576, 46341/65536]]]], [[
1, 18, 4, 3, 5], [v < -2^(1/2), u = (v^2+1)^(1/2), x = -1, And(-1 < y,y < 0),
(y+1)^(1/2) < z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576],
[-1, -1], [-1/2, -1/2], [2, 2]]]], [[1, 20, 2, 3, 1], [v < -2^(1/2), u = (v^2+
2)^(1/2), x = -3, And(-4 < y,y < -3), z = z], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [-3, -3], [-7/2, -7/2], [0, 0]]]], [[2, 2, 8
, 5, 1], [v = -2^(1/2), u = -2, x = 1, And(1 < y,y < 4), z < -(y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [1, 1], [5/2, 5/
2], [-3, -3]]]], [[2, 2, 8, 5, 2], [v = -2^(1/2), u = -2, x = 1, And(1 < y,y <
4), 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,
5, 3], [v = -2^(1/2), u = -2, x = 1, And(1 < y,y < 4), 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, 5, 4], [v = -2^(1/2), u = -2, x =
1, And(1 < y,y < 4), 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, 5, 5], [v = -2^(1/2), u = -2, x = 1, And(1 < y,y < 4), (y-1)^(
1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [1,
1], [5/2, 5/2], [3, 3]]]], [[2, 4, 6, 5, 1], [v = -2^(1/2), u = -3^(1/2), x =
0, 2 < y, z < -y^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1816187/1048576, -3632373/2097152], [0, 0], [3, 3], [-3, -3]]]], [[2, 4, 6,
5, 2], [v = -2^(1/2), u = -3^(1/2), x = 0, 2 < y, 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, 5, 3], [v = -2^(1/2), u = -3^(1/2), x = 0, 2 < y, 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, 5, 4], [v = -2^(1/2), u = -3^(1/2), x = 0, 2 < y, 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, 5, 5], [v = -2^(1/2), u = -3^(1/2), x = 0, 2 < y, y^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [0, 0], [3, 3], [3, 3]]]], [[2, 7, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = -2^(1/2), And(-1 < u,u < 0), x = -1, And(-1 < y,
y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z <
(y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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(0
< y,y < x-u^2+3), z < -(y-x)^(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, 7, 2]
, [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1), And(0 < y,y < x-u^2
+3), z = -(y-x)^(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
, 7, 3], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1), And(0 < y,y
< x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 4], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1), And(0 < y,y
< x-u^2+3), z = (y-x)^(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, 7, 5], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1), And
(0 < y,y < x-u^2+3), (y-x)^(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, 4, 2, 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, 2, 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, 2, 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, 7, 1], [And(-2^(1/
2) < v,v < -1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x
+1), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-3, -3], [-1/2, -1/2], [8433585/2097152, 8433585/2097152], [-4, -4]]]], [[3,
1, 5, 7, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0),
And(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 7, 3], [And(-2^(1/
2) < v,v < -1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x
+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [-1/2, -1/2], [8433585/2097152, 8433585/
2097152], [0, 0]]]], [[3, 1, 5, 7, 4], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)
^(1/2), And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), z = (y-x)^(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, 7, 5], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0),
And(0 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [-1/2, -1/2], [8433585/2097152, 8433585/
2097152], [4, 4]]]], [[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 = 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, 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 = 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, 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 = 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, 6, 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, 6, 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, 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 = 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], [-299103/1048576, -\
149551/524288], [-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 = 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], [-\
299103/1048576, -149551/524288], [-1374407/2097152, -687203/1048576]]]], [[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 = u^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], [-299103/
1048576, -149551/524288], [0, 0]]]], [[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 = 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],
[-299103/1048576, -149551/524288], [687203/1048576, 171801/262144]]]], [[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 = 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], [-299103/1048576, -149551/524288], [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 < -1), z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [-1288231/1048576, -\
1288231/1048576], [0, 0]]]], [[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 = 0, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [7909297/2097152, 7909297/2097152]
, [0, 0], [0, 0]]]], [[4, 2, 4, 3, 1], [v = -1, u = -3^(1/2), x = -1, And(-2 <
y,y < -1), z = z], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/
2097152], [-1, -1], [-3/2, -3/2], [0, 0]]]], [[4, 6, 4, 4, 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, 4, 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, 4,
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, 4, 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, 4, 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, 1, 1], [v = -1, u =
0, And(-1 < x,x < 0), y < x, z = z], [regular_chain, [[-1, -1], [0, 0], [-1/2,
-1/2], [-2, -2], [0, 0]]]], [[4, 14, 2, 1, 1], [v = -1, u = 3^(1/2), x = -3, y
< -4, z = z], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-3
, -3], [-5, -5], [0, 0]]]], [[4, 15, 9, 9, 1], [v = -1, 3^(1/2) < u, And(1 < x
,x < u^2-2), u^2+x < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [3, 3],
[4, 4], [14, 14], [-5, -5]]]], [[4, 15, 9, 9, 2], [v = -1, 3^(1/2) < u, And(1
< x,x < u^2-2), u^2+x < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [3, 3
], [4, 4], [14, 14], [-3315889/1048576, -207243/65536]]]], [[4, 15, 9, 9, 3],
[v = -1, 3^(1/2) < u, And(1 < x,x < u^2-2), u^2+x < y, And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[-1, -1], [3, 3], [4, 4], [14, 14], [0, 0]]]
], [[4, 15, 9, 9, 4], [v = -1, 3^(1/2) < u, And(1 < x,x < u^2-2), u^2+x < y, z
= (y-x)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [4, 4], [14, 14], [207243/
65536, 3315889/1048576]]]], [[4, 15, 9, 9, 5], [v = -1, 3^(1/2) < u, And(1 < x
,x < u^2-2), u^2+x < y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [3, 3], [
4, 4], [14, 14], [5, 5]]]], [[5, 4, 6, 5, 1], [And(-1 < v,v < 0), u = -(v^2+1)
^(1/2), x = 0, 2 < y, z < -y^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/
131072, -1172343/1048576], [0, 0], [3, 3], [-3, -3]]]], [[5, 4, 6, 5, 2], [And
(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = 0, 2 < y, 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, 5, 3], [And(-1 < v,v <
0), u = -(v^2+1)^(1/2), x = 0, 2 < y, 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, 5, 4], [And(-1 < v,v < 0), u = -(v
^2+1)^(1/2), x = 0, 2 < y, 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, 5, 5], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = 0,
2 < y, y^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/
1048576], [0, 0], [3, 3], [3, 3]]]], [[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 = 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], [636235/1048576, 
159059/262144], [-3, -3]]]], [[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 = 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], [636235/1048576, 159059/262144], [-19417
/16384, -1242687/1048576]]]], [[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 = u^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], [636235/
1048576, 159059/262144], [0, 0]]]], [[5, 9, 5, 8, 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], [636235/1048576, 159059/262144
], [1242687/1048576, 19417/16384]]]], [[5, 9, 5, 8, 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], [636235/1048576, 159059/262144
], [3, 3]]]], [[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(0 < y,y < u^2-v^2), z < -(y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1, -1], [
767309/1048576, 767309/1048576], [-3, -3]]]], [[5, 11, 4, 7, 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 < u^2-v^2)
, z = -(y+1)^(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, 7, 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 < u^2-v^2), And(-(y+1)^(1/2) < z,z < (y+1)^
(1/2))], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1, -\
1], [767309/1048576, 767309/1048576], [0, 0]]]], [[5, 11, 4, 7, 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 < u^2-
v^2), z = (y+1)^(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, 7, 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 < u^2-v^2), (y+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1, -1], [
767309/1048576, 767309/1048576], [3, 3]]]], [[6, 1, 11, 2, 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, 8, 1, 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], [-1, -1], [0, 0]]]], [[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 < -(y-x)^(1/2)],
[regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [3,
3], [-3, -3]]]], [[6, 9, 5, 9, 2], [v = 0, And(1 < u,u < 2^(1/2)), And(-1 < x,
x < 0), u^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [-1/2, -1/2], [3, 3], [-7846825/4194304, -980853/
524288]]]], [[6, 9, 5, 9, 3], [v = 0, And(1 < u,u < 2^(1/2)), And(-1 < x,x < 0
), u^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0
], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [3, 3], [0, 0]]]], [[6, 9
, 5, 9, 4], [v = 0, And(1 < u,u < 2^(1/2)), And(-1 < x,x < 0), u^2+x+1 < y, z
= (y-x)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [
-1/2, -1/2], [3, 3], [980853/524288, 1961707/1048576]]]], [[6, 9, 5, 9, 5], [v
= 0, And(1 < u,u < 2^(1/2)), And(-1 < x,x < 0), u^2+x+1 < y, (y-x)^(1/2) < z],
[regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [3,
3], [3, 3]]]], [[6, 11, 3, 1, 1], [v = 0, 2^(1/2) < u, And(-u^2-1 < x,x < -1),
y < x-u^2+1, z = z], [regular_chain, [[0, 0], [3, 3], [-11/2, -11/2], [-15, -\
15], [0, 0]]]], [[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-u^2+v^2+1 < y,y < x), z = z
], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [1534619/
2097152, 1534619/2097152], [1048577/2097152, 1048577/2097152], [0, 0]]]], [[7,
5, 8, 2, 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, 2, 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, 2, 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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 3, 1, 2, 1
], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, y = x-u^2+2, z = z], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-4, -4], [-\
4692111/1048576, -2346055/524288], [0, 0]]]], [[8, 7, 3, 5, 1], [v = 1, And(-1
< u,u < 0), And(u^2-2 < x,x < -1), And(u^2+x < y,y < 0), z < -(y-x)^(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(u
^2+x < y,y < 0), z = -(y-x)^(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(u^2+x < y,y <
0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(u^2+x < y,y < 0),
z = (y-x)^(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(u^2+x < y,y < 0), (y-x)^(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 = 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, 6, 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, 6, 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, 6, 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,
6, 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, 5, 1], [v = 1, u = 3^(1/2), And(0 < x,x < 1), And(0 < y,y < x), 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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [-1, -1], [7909297/1048576, 3954649/
524288], [-4, -4]]]], [[9, 1, 4, 8, 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], [7909297/1048576, 3954649/
524288], [-1532401/524288, -24518415/8388608]]]], [[9, 1, 4, 8, 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], [7909297/1048576, 3954649/524288], [-7/16777216,
-7/16777216]]]], [[9, 1, 4, 8, 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], [7909297/1048576, 3954649/
524288], [3064801/1048576, 1532401/524288]]]], [[9, 1, 4, 8, 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], [
7909297/1048576, 3954649/524288], [4, 4]]]], [[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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 4, 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 < y,y < 0), z < -(y+1)^(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(u^2-v^2 < y,y < 0), z = -(y+1)^(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(u^2-v^2 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(u^2-v^2 < y,y < 0), z = (y+1)^(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(u^2-v^2 < y,y < 0), (y+1)^(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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152], [
2052175/1048576, 2052175/1048576], [-3, -3]]]], [[9, 9, 9, 7, 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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152], [
2052175/1048576, 2052175/1048576], [-1162243/1048576, -581121/524288]]]], [[9,
9, 9, 7, 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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0
], [1527887/2097152, 1527887/2097152], [2052175/1048576, 2052175/1048576], [0,
0]]]], [[9, 9, 9, 7, 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(x < y,y < x-u^2+v^2+1), z = (y-x
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [
1527887/2097152, 1527887/2097152], [2052175/1048576, 2052175/1048576], [581121
/524288, 1162243/1048576]]]], [[9, 9, 9, 7, 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(x < y,y <
x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [1527887/2097152, 1527887/2097152], [2052175/1048576, 
2052175/1048576], [3, 3]]]], [[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 < 0, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [1/2, 1/2
], [-1, -1], [0, 0]]]], [[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 = 0, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [2, 2], [0,
0], [0, 0]]]], [[9, 17, 8, 5, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u,
x = 1, And(0 < y,y < 1), 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 = u^2+x-1, z < -(u^2-1)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [1/2, 1/2], [1035335/524288, 2070671/1048576], [-3, -3]]]],
[[10, 5, 9, 8, 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], [1035335/524288, 
2070671/1048576], [-636691/524288, -1273381/1048576]]]], [[10, 5, 9, 8, 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], [1035335/524288, 
2070671/1048576], [0, 0]]]], [[10, 5, 9, 8, 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], [1035335/524288, 2070671/1048576], [1273381/1048576, 636691/524288]]]],
[[10, 5, 9, 8, 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], [1035335/524288, 
2070671/1048576], [3, 3]]]], [[10, 7, 10, 7, 1], [v = 2^(1/2), And(-v < u,u <
-1), x = 1, And(u^2 < y,y < -u^2+4), z < -(y-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [1, 1],
[2, 2], [-2, -2]]]], [[10, 7, 10, 7, 2], [v = 2^(1/2), And(-v < u,u < -1), x =
1, And(u^2 < y,y < -u^2+4), z = -(y-1)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [2, 2], [-1,
-1]]]], [[10, 7, 10, 7, 3], [v = 2^(1/2), And(-v < u,u < -1), 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], [-1265743/1048576, -1265743/1048576], [1, 1],
[2, 2], [0, 0]]]], [[10, 7, 10, 7, 4], [v = 2^(1/2), And(-v < u,u < -1), x = 1
, And(u^2 < y,y < -u^2+4), z = (y-1)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [2, 2], [1, 1]
]]], [[10, 7, 10, 7, 5], [v = 2^(1/2), And(-v < u,u < -1), x = 1, And(u^2 < y,
y < -u^2+4), (y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [2, 2], [2, 2]]]], [[
10, 11, 9, 5, 1], [v = 2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), And(u
^2+x-1 < y,y < x), 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 = -u^2+3, z < -(-u^2+3)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [0, 0],
[1617841/1048576, 808921/524288], [-3, -3]]]], [[10, 13, 8, 6, 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],
[1617841/1048576, 808921/524288], [-1302471/1048576, -651235/524288]]]], [[10,
13, 8, 6, 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], [1617841/1048576, 808921
/524288], [0, 0]]]], [[10, 13, 8, 6, 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], [1617841/1048576, 808921
/524288], [651235/524288, 1302471/1048576]]]], [[10, 13, 8, 6, 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],
[1617841/1048576, 808921/524288], [3, 3]]]], [[11, 2, 9, 5, 1], [2^(1/2) < v,
u = -(v^2+2)^(1/2), 1 < x, And(x-1 < y,y < 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 = 2*u^2-2*v^2, z = z], [regular_chain, [[3,
3], [-22960369/8388608, -22960369/8388608], [-657547/262144, -5260375/2097152]
, [-395403/131072, -3163223/1048576], [0, 0]]]], [[11, 10, 8, 5, 1], [2^(1/2)
< v, u = -(v^2-2)^(1/2), x = 1, And(1 < y,y < 4), z < -(y-1)^(1/2)], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [1, 1], [5/2, 5/
2], [-3, -3]]]], [[11, 10, 8, 5, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 1,
And(1 < y,y < 4), 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, 5, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 1, And(1
< y,y < 4), 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, 5, 4], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 5], [2^(1/2
) < v, u = -(v^2-2)^(1/2), x = 1, And(1 < y,y < 4), (y-1)^(1/2) < z], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [1, 1], [5/2, 5/
2], [3, 3]]]], [[11, 15, 11, 6, 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], [2613723/1048576, 653431/262144], [
-2, -2]]]], [[11, 15, 11, 6, 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], [2613723/1048576, 653431/262144], [
-735979/1048576, -1471957/2097152]]]], [[11, 15, 11, 6, 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], [2613723/1048576, 653431/262144], [-1/4194304, -1/4194304]]]
], [[11, 15, 11, 6, 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], [2613723/1048576, 653431/262144], [367989/524288,
735979/1048576]]]], [[11, 15, 11, 6, 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], [2613723/1048576, 653431/262144],
[2, 2]]]], [[11, 18, 1, 5, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), x < -2, And(x+
2 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 
3315889/1048576], [-3, -3], [-1/2, -1/2], [-3, -3]]]], [[11, 18, 1, 5, 2], [2^
(1/2) < v, u = (v^2+1)^(1/2), x < -2, And(x+2 < y,y < 0), z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3, -3], [-1/2, -1/2
], [-3315889/2097152, -207243/131072]]]], [[11, 18, 1, 5, 3], [2^(1/2) < v, u
= (v^2+1)^(1/2), x < -2, And(x+2 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1
/2))], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3, -3], [-1
/2, -1/2], [0, 0]]]], [[11, 18, 1, 5, 4], [2^(1/2) < v, u = (v^2+1)^(1/2), x <
-2, And(x+2 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [207243/
65536, 3315889/1048576], [-3, -3], [-1/2, -1/2], [207243/131072, 1657945/
1048576]]]], [[11, 18, 1, 5, 5], [2^(1/2) < v, u = (v^2+1)^(1/2), x < -2, And(
x+2 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [207243/65536, 
3315889/1048576], [-3, -3], [-1/2, -1/2], [3, 3]]]], [[11, 21, 11, 5, 1], [2^(
1/2) < v, (v^2+2)^(1/2) < u, u^2-v^2-1 < x, And(x-u^2+v^2+1 < y,y < x), 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+3, z < -3^(1/2)], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-4, -4], [-1,
-1], [-3, -3]]]], [[1, 2, 1, 6, 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, 6, 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, 6, 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, 6, 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, 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 < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [1566621/2097152, 1566621/2097152], [
4181817/2097152, 4181817/2097152], [-3, -3]]]], [[1, 3, 9, 7, 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(x
< y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [1566621/2097152, 1566621/2097152], [4181817/
2097152, 4181817/2097152], [-1170947/1048576, -585473/524288]]]], [[1, 3, 9, 7
, 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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [1566621/
2097152, 1566621/2097152], [4181817/2097152, 4181817/2097152], [0, 0]]]], [[1,
3, 9, 7, 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(x < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [1566621/
2097152, 1566621/2097152], [4181817/2097152, 4181817/2097152], [585473/524288,
1170947/1048576]]]], [[1, 3, 9, 7, 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(x < y,y < u^2-v^2+x+1), (y-x)
^(1/2) < z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576],
[1566621/2097152, 1566621/2097152], [4181817/2097152, 4181817/2097152], [3, 3]
]]], [[1, 8, 1, 3, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -2, And(x < y,y
< x+2), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [-3, -3], [-2, -2], [-2, -2]]]], [[1, 8, 1, 3, 2], [v < -2^
(1/2), u = -(v^2-1)^(1/2), x < -2, And(x < y,y < x+2), z = -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3, -3], [-2
, -2], [-1, -1]]]], [[1, 8, 1, 3, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -\
2, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[-3, -3], [-2965821/1048576, -11863283/4194304], [-3, -3], [-2, -2], [0, 0]]]
], [[1, 8, 1, 3, 4], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -2, And(x < y,y <
x+2), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [-3, -3], [-2, -2], [1, 1]]]], [[1, 8, 1, 3, 5], [v < -2^(1
/2), u = -(v^2-1)^(1/2), x < -2, And(x < y,y < x+2), (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3, -3], [-2
, -2], [2, 2]]]], [[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 = 0, z = z], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [2, 2], [0, 0], [0, 0]]]], [[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-u^2+v^
2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [-657289/524288, -657289/524288], [2, 2], [-3, -3]]]], [[1,
15, 3, 9, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,
x < -1), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-657289/524288, -657289/524288], [2, 2], [
-1891417/1048576, -7565667/4194304]]]], [[1, 15, 3, 9, 3], [v < -2^(1/2), And(
(v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), x-u^2+v^2+1 < y, And(-(y
-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [6111549/2097152,
6111549/2097152], [-657289/524288, -657289/524288], [2, 2], [-3/8388608, -3/
8388608]]]], [[1, 15, 3, 9, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
And(u^2-v^2-1 < x,x < -1), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [regular_chain,
[[-3, -3], [6111549/2097152, 6111549/2097152], [-657289/524288, -657289/524288
], [2, 2], [236427/131072, 1891417/1048576]]]], [[1, 15, 3, 9, 5], [v < -2^(1/
2), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), x-u^2+v^2+1 < y,
(y-x)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152
], [-657289/524288, -657289/524288], [2, 2], [3, 3]]]], [[1, 17, 4, 4, 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], [-2, -2]]]], [[1, 17, 4, 4, 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], [-373161/524288, -1492643/2097152]]]], [[1, 
17, 4, 4, 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], [-1/4194304, -1/4194304]]]], [[1, 17, 4, 4, 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], [746321/1048576, 373161/524288]]]], [[1, 17, 4, 4, 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], [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 = 0, z < -(-x)^(1/2
)], [regular_chain, [[-3, -3], [5, 5], [-9, -9], [0, 0], [-4, -4]]]], [[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 = 0,
z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-9, -9], [0, 0], [-3, -3
]]]], [[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 = 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, 6, 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, 6,
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, 3, 1], [v = -2^(1/2), u < -2, And(1 < x,x < u^2-3), And(x-u^2+3 < y,y
< 0), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [
7/2, 7/2], [-5/4, -5/4], [0, 0]]]], [[2, 10, 3, 7, 1], [v = -2^(1/2), u = 0, 
And(-3 < x,x < -1), And(0 < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-2, -2], [1/2, 1/2], [-3, -3]]]], [
[2, 10, 3, 7, 2], [v = -2^(1/2), u = 0, And(-3 < x,x < -1), And(0 < y,y < x+3)
, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0,
0], [-2, -2], [1/2, 1/2], [-3315889/2097152, -207243/131072]]]], [[2, 10, 3, 7
, 3], [v = -2^(1/2), u = 0, And(-3 < x,x < -1), And(0 < y,y < x+3), And(-(y-x)
^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [0, 0], [-2, -2], [1/2, 1/2], [0, 0]]]], [[2, 10, 3, 7, 4], [v = -2^(
1/2), u = 0, And(-3 < x,x < -1), And(0 < y,y < x+3), z = (y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-2, -2], [1/2, 1/
2], [207243/131072, 1657945/1048576]]]], [[2, 10, 3, 7, 5], [v = -2^(1/2), u =
0, And(-3 < x,x < -1), And(0 < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [
[-1482911/1048576, -741455/524288], [0, 0], [-2, -2], [1/2, 1/2], [3, 3]]]], [
[2, 11, 11, 6, 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, 6, 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, 6, 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, 4, 1, 1], [v = -2^(1/2), u = 3^(1
/2), x = -1, y < -1, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [908093/524288, 1816187/1048576], [-1, -1], [-2, -2], [0, 0]]]], [[2,
18, 2, 1, 1], [v = -2^(1/2), u = 2, x = -3, y < -4, z = z], [regular_chain, [[
-1482911/1048576, -741455/524288], [2, 2], [-3, -3], [-5, -5], [0, 0]]]], [[3,
4, 2, 1, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -2, y < -2, z
= z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144,
-3287319/2097152], [-2, -2], [-3, -3], [0, 0]]]], [[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-u^2+v^2+1 < y,y
< u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [3, 3], [-2, -\
2]]]], [[3, 5, 11, 7, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u
< v), 1 < x, And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [2, 2], [3, 3], [-1, -1]]]], [[3, 5, 11, 7, 3], [And(-2^(1/2
) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(x-u^2+v^2+1 < y,y < u
^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [2,
2], [3, 3], [0, 0]]]], [[3, 5, 11, 7, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2
+1)^(1/2) < u,u < v), 1 < x, And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = (y-x)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [2, 2], [3, 3], [1, 1]]]], [[3, 5, 11, 7, 5], [And
(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(x-u^2+v^2+1 <
y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [3, 3], [2, 2]
]]], [[3, 10, 4, 2, 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, 2, 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, 2, 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, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 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 = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288,
898327/524288], [-1299559/524288, -2599117/1048576], [-91203205/33554432, -\
91203205/33554432], [0, 0]]]], [[3, 16, 8, 2, 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, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = -1, And(-2^(1/2) < u,u < -1), x = -1, And(-u^2+1 < y,y < 0), z
< -(y+1)^(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(-u^2+1 < y,y < 0), z =
-(y+1)^(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(
-u^2+1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-u^2+1 < y,y < 0), z = (y+1)^(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(-u^2+1 < y,y < 0), (y
+1)^(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 = -1, z < 0], [regular_chain, [[-1,
-1], [1265743/1048576, 1265743/1048576], [-1, -1], [-1, -1], [-1, -1]]]], [[4,
11, 4, 2, 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, 2, 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, 3, 1, 1], [v = -1, And(2^(1/2) < u,u < 3^
(1/2)), And(-u^2 < x,x < -1), y < x-u^2+2, z = z], [regular_chain, [[-1, -1],
[3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152], [-4,
-4], [0, 0]]]], [[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(x-u^2+v^2+1 < y,y < 0), z = z], [regular_chain, [[-1
/2, -1/2], [-3, -3], [35/8, 35/8], [-27/16, -27/16], [0, 0]]]], [[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 = z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/
262144], [0, 0], [-486043/1048576, -243021/524288], [0, 0]]]], [[5, 12, 3, 9,
1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-3 < x,x < -1), x+3 < y, z < -(
y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-2, -2], [2, 2], [-3,
-3]]]], [[5, 12, 3, 9, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-3 < x,x
< -1), x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2],
[-2, -2], [2, 2], [-2, -2]]]], [[5, 12, 3, 9, 3], [And(-1 < v,v < 0), u = (v^2
+2)^(1/2), And(-3 < x,x < -1), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-2, -2], [2, 2], [0, 0]]]], [[5,
12, 3, 9, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-3 < x,x < -1), x+3 <
y, z = (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-2, -2], [2,
2], [2, 2]]]], [[5, 12, 3, 9, 5], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-\
3 < x,x < -1), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3/2,
3/2], [-2, -2], [2, 2], [3, 3]]]], [[5, 13, 11, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 1, 1], [v = 0, u
= -1, 1 < x, y < 0, z = z], [regular_chain, [[0, 0], [-1, -1], [2, 2], [-1, -1
], [0, 0]]]], [[6, 6, 7, 5, 1], [v = 0, u = 0, 1 < x, And(x < y,y < x+1), z <
-(y-x)^(1/2)], [regular_chain, [[0, 0], [0, 0], [2, 2], [5/2, 5/2], [-2, -2]]]
], [[6, 6, 7, 5, 2], [v = 0, u = 0, 1 < x, And(x < y,y < x+1), z = -(y-x)^(1/2
)], [regular_chain, [[0, 0], [0, 0], [2, 2], [5/2, 5/2], [-1482911/2097152, -\
741455/1048576]]]], [[6, 6, 7, 5, 3], [v = 0, u = 0, 1 < x, And(x < y,y < x+1)
, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [0, 0], [2,
2], [5/2, 5/2], [0, 0]]]], [[6, 6, 7, 5, 4], [v = 0, u = 0, 1 < x, And(x < y,y
< x+1), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [0, 0], [2, 2], [5/2, 5/2],
[741455/1048576, 46341/65536]]]], [[6, 6, 7, 5, 5], [v = 0, u = 0, 1 < x, And(
x < y,y < x+1), (y-x)^(1/2) < z], [regular_chain, [[0, 0], [0, 0], [2, 2], [5/
2, 5/2], [2, 2]]]], [[7, 1, 2, 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 = z], [regular_chain, [[1/2, 1/2], [-3, -3],
[-39/4, -39/4], [-19, -19], [0, 0]]]], [[7, 2, 7, 9, 1], [And(0 < v,v < 1), u
= -(v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y, z < -(y-x)^(1/2)], [regular_chain
, [[1/2, 1/2], [-3/2, -3/2], [1/2, 1/2], [5, 5], [-4, -4]]]], [[7, 2, 7, 9, 2]
, [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y, z = -(y-x)
^(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, 9, 3], [And(0 < v,v < 1), u =
-(v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1/2, 1/2], [5, 5], [0, 0]]]],
[[7, 2, 7, 9, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(0 < x,x < 1), x+3
< y, z = (y-x)^(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, 9, 5], [And(0 < v,v <
1), u = -(v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1/2, 1/2], [5, 5], [4, 4]]]], [[7,
7, 1, 9, 1], [And(0 < v,v < 1), And(-v < u,u < v), x < u^2-v^2-1, 0 < y, z < -
(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3, -3], [1, 1], [-3, -3]]
]], [[7, 7, 1, 9, 2], [And(0 < v,v < 1), And(-v < u,u < v), x < u^2-v^2-1, 0 <
y, z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3, -3], [1, 1], [
-2, -2]]]], [[7, 7, 1, 9, 3], [And(0 < v,v < 1), And(-v < u,u < v), x < u^2-v^
2-1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2
], [0, 0], [-3, -3], [1, 1], [0, 0]]]], [[7, 7, 1, 9, 4], [And(0 < v,v < 1), 
And(-v < u,u < v), x < u^2-v^2-1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[1
/2, 1/2], [0, 0], [-3, -3], [1, 1], [2, 2]]]], [[7, 7, 1, 9, 5], [And(0 < v,v
< 1), And(-v < u,u < v), x < u^2-v^2-1, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [0, 0], [-3, -3], [1, 1], [3, 3]]]], [[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], [-848315/
1048576, -3393259/4194304], [-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], [-848315/1048576, -3393259/4194304], [-\
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], [-848315/
1048576, -3393259/4194304], [-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], [-848315/1048576, -\
3393259/4194304], [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], [-848315/1048576, -3393259/
4194304], [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(x < y,y < u^2-v^2+x+1), z
< -(y-x)^(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, 7, 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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 7, 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(x < y,y < u^2-v^2+x+1), And(-(y-x)^
(1/2) < z,z < (y-x)^(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, 7, 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(x < y,y < u^2-v^2+x+1), z
= (y-x)^(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, 7, 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(x < y,y < u^2-v^2+x+1), (y
-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [
243021/1048576, 243021/1048576], [767309/524288, 767309/524288], [3, 3]]]], [[
7, 13, 5, 1, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y <
x-u^2+v^2+1, z = z], [regular_chain, [[1/2, 1/2], [3, 3], [-1/2, -1/2], [-10,
-10], [0, 0]]]], [[8, 3, 10, 8, 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], [1821767/524288, 3643535/1048576], [-3, -3]]]], [[8, 3, 10,
8, 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], [1821767
/524288, 3643535/1048576], [-1649549/1048576, -3299097/2097152]]]], [[8, 3, 10
, 8, 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],
[1821767/524288, 3643535/1048576], [-1/4194304, -1/4194304]]]], [[8, 3, 10, 8,
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], [1821767
/524288, 3643535/1048576], [412387/262144, 1649549/1048576]]]], [[8, 3, 10, 8,
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], [1821767
/524288, 3643535/1048576], [3, 3]]]], [[8, 5, 10, 2, 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, 9, 6, 1], [v = 1, And(1
< u,u < 2^(1/2)), And(0 < x,x < 1), y = x-u^2+2, z < -(-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [
1093553/1048576, 546777/524288], [-2, -2]]]], [[8, 11, 9, 6, 2], [v = 1, And(1
< u,u < 2^(1/2)), And(0 < x,x < 1), y = x-u^2+2, z = -(-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [
1093553/1048576, 546777/524288], [-772605/1048576, -1545209/2097152]]]], [[8,
11, 9, 6, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), y = x-u^2+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], [1093553/1048576, 546777/524288
], [-1/4194304, -1/4194304]]]], [[8, 11, 9, 6, 4], [v = 1, And(1 < u,u < 2^(1/
2)), And(0 < x,x < 1), y = x-u^2+2, z = (-u^2+2)^(1/2)], [regular_chain, [[1,
1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [1093553/1048576, 546777/
524288], [193151/262144, 772605/1048576]]]], [[8, 11, 9, 6, 5], [v = 1, And(1
< u,u < 2^(1/2)), And(0 < x,x < 1), y = x-u^2+2, (-u^2+2)^(1/2) < z], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [
1093553/1048576, 546777/524288], [2, 2]]]], [[8, 13, 8, 7, 1], [v = 1, And(2^(
1/2) < u,u < 3^(1/2)), x = u^2-2, 2*u^2-2 < y, z < -(y-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [497805/1048576, 
248903/524288], [4, 4], [-3, -3]]]], [[8, 13, 8, 7, 2], [v = 1, And(2^(1/2) <
u,u < 3^(1/2)), x = u^2-2, 2*u^2-2 < y, z = -(y-u^2+2)^(1/2)], [regular_chain,
[[1, 1], [3299097/2097152, 3299097/2097152], [497805/1048576, 248903/524288],
[4, 4], [-15750169/8388608, -1968771/1048576]]]], [[8, 13, 8, 7, 3], [v = 1, 
And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, 2*u^2-2 < y, And(-(y-u^2+2)^(1/2) < z
,z < (y-u^2+2)^(1/2))], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [497805/1048576, 248903/524288], [4, 4], [0, 0]]]], [[8, 13, 8, 7, 4
], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, 2*u^2-2 < y, z = (y-u^2+2)
^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [497805/
1048576, 248903/524288], [4, 4], [1968771/1048576, 492193/262144]]]], [[8, 13,
8, 7, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, 2*u^2-2 < y, (y-u^2
+2)^(1/2) < z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [
497805/1048576, 248903/524288], [4, 4], [3, 3]]]], [[9, 2, 3, 5, 1], [And(1 <
v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(x < y,y < 0), z <
-(y-x)^(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(x < y,y <
0), z = -(y-x)^(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(
x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^
(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
= 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], [4696269/
1048576, 2348135/524288], [-3, -3]]]], [[9, 3, 11, 8, 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], [4696269/1048576, 2348135/524288
], [-3301741/2097152, -825435/524288]]]], [[9, 3, 11, 8, 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], [
4696269/1048576, 2348135/524288], [0, 0]]]], [[9, 3, 11, 8, 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], [4696269/1048576, 2348135/
524288], [825435/524288, 1650871/1048576]]]], [[9, 3, 11, 8, 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], [4696269/1048576, 2348135/
524288], [3, 3]]]], [[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 = -u^2+v^2-1, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
384703/262144, -1538811/1048576], [-384703/262144, -1538811/1048576], [-1, -1]
]]], [[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 = -u^2+v^2-1, z = 0], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [-384703/262144, -\
1538811/1048576], [-384703/262144, -1538811/1048576], [0, 0]]]], [[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
= -u^2+v^2-1, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [-384703/262144, -1538811/1048576], [-\
384703/262144, -1538811/1048576], [1, 1]]]], [[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(x < y,
y < u^2-v^2+x+1), z < -(y-x)^(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(x < y,y < u^2-v^
2+x+1), z = -(y-x)^(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(x
< y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x
< y,y < u^2-v^2+x+1), z = (y-x)^(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(x < y,y < u^2-v^2+x+1), (y-x)^(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(x-u^2+3 < y,y < 0), z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [1/2, 1/2], [-11/4, -11/4], [0, 0]]]], [[
10, 3, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 1], [v = 2^(1/2), And(-1 < u,u < 0), x = u^2-3,
And(2*u^2-4 < y,y < u^2-3), 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
, 6, 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, 6, 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, 6, 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, 6,
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, 6, 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, 9, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x < -u^2+
1, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [3299097/2097152, 3299097/2097152], [-3, -3], [1, 1], [-3, -3]]]], [[10, 15,
1, 9, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x < -u^2+1, 0 < y, z = -(y-x)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-3, -3], [1, 1], [-2, -2]]]], [[10, 15, 1, 9, 3], [v = 2^(1
/2), And(v < u,u < 3^(1/2)), x < -u^2+1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152,
3299097/2097152], [-3, -3], [1, 1], [0, 0]]]], [[10, 15, 1, 9, 4], [v = 2^(1/2
), And(v < u,u < 3^(1/2)), x < -u^2+1, 0 < y, z = (y-x)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-3,
-3], [1, 1], [2, 2]]]], [[10, 15, 1, 9, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2
)), x < -u^2+1, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-3, -3], [1, 1], [3, 3]
]]], [[10, 17, 1, 3, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, And
(x-u^2+3 < y,y < x), z = z], [regular_chain, [[741455/524288, 1482911/1048576]
, [3913339/2097152, 3913339/2097152], [-4, -4], [-8894075/2097152, -8894075/
2097152], [0, 0]]]], [[10, 19, 4, 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, 4, 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, 4, 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, 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 < 2*u^2-2*v^2), z < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-5, -5], [15, 15], [47/2, 47/2], [-4, -4]]]], [[11, 1
, 10, 5, 2], [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 = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-5, -\
5], [15, 15], [47/2, 47/2], [-24456785/8388608, -1528549/524288]]]], [[11, 1,
10, 5, 3], [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), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [
regular_chain, [[3, 3], [-5, -5], [15, 15], [47/2, 47/2], [0, 0]]]], [[11, 1,
10, 5, 4], [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 = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5],
[15, 15], [47/2, 47/2], [1528549/524288, 3057099/1048576]]]], [[11, 1, 10, 5,
5], [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), (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-5, -5], [15, 
15], [47/2, 47/2], [4, 4]]]], [[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-u^2+v^2+1 < y,y < u^2-v^2+x+1), z < -
(y-x)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1/2,
1/2], [3/2, 3/2], [-2, -2]]]], [[11, 5, 9, 7, 2], [2^(1/2) < v, And(-(v^2+1)^(
1/2) < u,u < -v), And(0 < x,x < 1), And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z =
-(y-x)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1/2
, 1/2], [3/2, 3/2], [-1, -1]]]], [[11, 5, 9, 7, 3], [2^(1/2) < v, And(-(v^2+1)
^(1/2) < u,u < -v), And(0 < x,x < 1), And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[11, 5, 9, 7, 4],
[2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(x-u^2+v^2+
1 < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[11, 5, 9, 7, 5],
[2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(x-u^2+v^2+
1 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[11, 7, 10, 6, 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], [1565147/1048576, 391287/262144], [-2, -2]]]], [[11, 7, 10, 6, 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], [1565147/1048576, 391287/262144], [-735979/1048576, -1471957/2097152]]]
], [[11, 7, 10, 6, 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], [1565147
/1048576, 391287/262144], [-1/4194304, -1/4194304]]]], [[11, 7, 10, 6, 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], [1565147/1048576, 391287/262144], [367989/524288, 735979/1048576]]]], [[11
, 7, 10, 6, 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], [1565147/1048576, 391287/262144], [2, 2]]]], [[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 < 0), z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[
3, 3], [1435023/524288, 1435023/524288], [-5260377/2097152, -657547/262144], [
-657547/524288, -657547/524288], [-3, -3]]]], [[11, 13, 2, 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^2-1 < y,y
< 0), z = -(y-u^2+v^2+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, 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^2-1 < y,
y < 0), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain
, [[3, 3], [1435023/524288, 1435023/524288], [-5260377/2097152, -657547/262144
], [-657547/524288, -657547/524288], [0, 0]]]], [[11, 13, 2, 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^2-1 < y,
y < 0), z = (y-u^2+v^2+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, 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^2-1 < y,y
< 0), (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [-5260377/2097152, -657547/262144], [-657547/524288, -657547/
524288], [3, 3]]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-3, -3], [0, 0], [-3, -3]]]], [[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 = 0, z = -
(-x)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3,
-3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[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 = 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, 8, 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, 8, 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, 4, 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, 4, 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, 4, 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, 1, 7, 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 < 0), z < -(y-x)
^(1/2)], [regular_chain, [[3, 3], [5, 5], [-18, -18], [-1/2, -1/2], [-6, -6]]]
], [[11, 21, 1, 7, 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 < 0), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-18
, -18], [-1/2, -1/2], [-4386509/1048576, -1096627/262144]]]], [[11, 21, 1, 7,
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 < 0
), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [5, 5], [-\
18, -18], [-1/2, -1/2], [0, 0]]]], [[11, 21, 1, 7, 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 < 0), z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [5, 5], [-18, -18], [-1/2, -1/2], [1096627/262144, 
4386509/1048576]]]], [[11, 21, 1, 7, 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 < 0), (y-x)^(1/2) < z], [regular_chain, [[3,
3], [5, 5], [-18, -18], [-1/2, -1/2], [6, 6]]]], [[1, 2, 4, 9, 1], [v < -2^(1/
2), u = -(v^2+2)^(1/2), x = -1, 2 < y, z < -(y+1)^(1/2)], [regular_chain, [[-3
, -3], [-1738867/524288, -3477733/1048576], [-1, -1], [3, 3], [-3, -3]]]], [[1
, 2, 4, 9, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -1, 2 < y, z = -(y+1)^(1
/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-1, -1]
, [3, 3], [-2, -2]]]], [[1, 2, 4, 9, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2), x
= -1, 2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-3, -3]
, [-1738867/524288, -3477733/1048576], [-1, -1], [3, 3], [0, 0]]]], [[1, 2, 4,
9, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -1, 2 < y, z = (y+1)^(1/2)], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-1, -1], [3, 3
], [2, 2]]]], [[1, 2, 4, 9, 5], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -1, 2 <
y, (y+1)^(1/2) < z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [-1, -1], [3, 3], [3, 3]]]], [[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(0 < y,y <
x-u^2+v^2+1), z = z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [1566621/2097152, 1566621/2097152], [132633/1048576, 132633/1048576]
, [0, 0]]]], [[1, 8, 3, 3, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-2 < x,x
< -1), And(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [-3/2, -3/2], [-3/4, -3/4], [-2, -2]]]],
[[1, 8, 3, 3, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), And(x
< y,y < 0), z = -(y-x)^(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, 3, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-2 < x,x
< -1), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [v < -2^(1/2), u
= -(v^2-1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v < -2^(1
/2), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), (y-x)^(1/2) < z
], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3/2, -3
/2], [-3/4, -3/4], [2, 2]]]], [[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, -2*u^2+2*v^2 < y, 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, 7, 2], [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 = -(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, 7, 3], [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, 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, 7, 4], [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 = (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, 7, 5], [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, (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, 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(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain
, [[-3, -3], [6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/
2097152], [-258285/2097152, -258285/2097152], [-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(x
< y,y < 0), z = -(y-x)^(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, 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(x < y,
y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [-\
258285/2097152, -258285/2097152], [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(x < y,y < 0), z
= (y-x)^(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, 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(x < y,y < 0), (y-x)^(1/2)
< z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-516571/
2097152, -516571/2097152], [-258285/2097152, -258285/2097152], [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), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [2, 2], [
-3, -3]]]], [[1, 17, 3, 9, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 
And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain
, [[-3, -3], [403851/131072, 403851/131072], [-2614535/2097152, -2614535/
2097152], [2, 2], [-3778779/2097152, -7557557/4194304]]]], [[1, 17, 3, 9, 3],
[v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), u^2-
v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3]
, [403851/131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [2, 2]
, [-1/8388608, -1/8388608]]]], [[1, 17, 3, 9, 4], [v < -2^(1/2), And(-v < u,u
< (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, z = (y-x)^(1/2)
], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-2614535/
2097152, -2614535/2097152], [2, 2], [1889389/1048576, 944695/524288]]]], [[1,
17, 3, 9, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x
,x < -1), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [2, 2], [
3, 3]]]], [[1, 21, 4, 9, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -1, u^2-v^2
< y, z < -(y+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-1, -1], [17, 17],
[-6, -6]]]], [[1, 21, 4, 9, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -1, u^2-
v^2 < y, z = -(y+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-1, -1], [17,
17], [-1112183/262144, -4448731/1048576]]]], [[1, 21, 4, 9, 3], [v < -2^(1/2),
(v^2+2)^(1/2) < u, x = -1, u^2-v^2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))]
, [regular_chain, [[-3, -3], [5, 5], [-1, -1], [17, 17], [0, 0]]]], [[1, 21, 4
, 9, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -1, u^2-v^2 < y, z = (y+1)^(1/2
)], [regular_chain, [[-3, -3], [5, 5], [-1, -1], [17, 17], [4448731/1048576, 
1112183/262144]]]], [[1, 21, 4, 9, 5], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -\
1, u^2-v^2 < y, (y+1)^(1/2) < z], [regular_chain, [[-3, -3], [5, 5], [-1, -1],
[17, 17], [6, 6]]]], [[2, 1, 7, 1, 1], [v = -2^(1/2), u < -2, And(0 < x,x < 1)
, y < x-u^2+3, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3, -3], [1/2, 1/2], [-7, -7], [0, 0]]]], [[2, 10, 5, 9, 1], [v = -2^(1/2), u =
0, And(-1 < x,x < 0), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [0, 0], [-1/2, -1/2], [4, 4], [-4, -4]]]], [[2, 10,
5, 9, 2], [v = -2^(1/2), u = 0, And(-1 < x,x < 0), x+3 < y, z = -(y-x)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1/2, -1/2], [4,
4], [-1112183/524288, -2224365/1048576]]]], [[2, 10, 5, 9, 3], [v = -2^(1/2),
u = 0, And(-1 < x,x < 0), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1/2, -1/2], [4,
4], [0, 0]]]], [[2, 10, 5, 9, 4], [v = -2^(1/2), u = 0, And(-1 < x,x < 0), x+3
< y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0
, 0], [-1/2, -1/2], [4, 4], [2224365/1048576, 1112183/524288]]]], [[2, 10, 5,
9, 5], [v = -2^(1/2), u = 0, And(-1 < x,x < 0), x+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1/2, -1/2], [4,
4], [4, 4]]]], [[2, 11, 10, 3, 1], [v = -2^(1/2), And(0 < u,u < 1), x = 1, And
(0 < y,y < u^2), z = z], [regular_chain, [[-1482911/1048576, -741455/524288],
[1/2, 1/2], [1, 1], [1/8, 1/8], [0, 0]]]], [[2, 16, 4, 5, 1], [v = -2^(1/2), u
= 3^(1/2), x = -1, And(0 < y,y < 1), z < -(y+1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-1, -1],
[1/2, 1/2], [-3, -3]]]], [[2, 16, 4, 5, 2], [v = -2^(1/2), u = 3^(1/2), x = -1
, And(0 < y,y < 1), z = -(y+1)^(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, 5, 3], [v = -2^(1/2), u = 3^(
1/2), x = -1, And(0 < 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], [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 = (y+1)^(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, 5, 5], [v = -2^(1
/2), u = 3^(1/2), x = -1, And(0 < y,y < 1), (y+1)^(1/2) < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-1, -1
], [1/2, 1/2], [3, 3]]]], [[2, 17, 9, 9, 1], [v = -2^(1/2), And(3^(1/2) < u,u
< 2), And(u^2-3 < x,x < 1), u^2+x-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [388511
/524288, 388511/524288], [5, 5], [-4, -4]]]], [[2, 17, 9, 9, 2], [v = -2^(1/2)
, And(3^(1/2) < u,u < 2), And(u^2-3 < x,x < 1), u^2+x-1 < y, z = -(y-x)^(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, 9, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2),
And(u^2-3 < x,x < 1), u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [388511/524288, 388511/524288], [5, 5], [0, 0]]]], [[2, 17, 9, 9, 4]
, [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(u^2-3 < x,x < 1), u^2+x-1 < y, z
= (y-x)^(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, 9, 5], [v = -2^(1/2), And(3^(1/2) < u,
u < 2), And(u^2-3 < x,x < 1), u^2+x-1 < y, (y-x)^(1/2) < z], [regular_chain, [
[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [
388511/524288, 388511/524288], [5, 5], [4, 4]]]], [[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, 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, 2, 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, 2, 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, 4, 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, 4, 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, 4, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 11, 10, 1, 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], [-1, -1], [0, 0
]]]], [[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 = 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, 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 = 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, 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 = 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, 6, 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, 6, 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, 7, 1], [And(-2^(1/2) < v,v < -1), u =
(v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), z < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [1/2, 1/2], [2, 2], [-3, -3]]]], [[3, 16, 7, 7, 2], [And(-2^(1/2) <
v,v < -1), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), z = -(y-x)
^(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, 7, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(0 < x,x <
1), And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [1/2
, 1/2], [2, 2], [0, 0]]]], [[3, 16, 7, 7, 4], [And(-2^(1/2) < v,v < -1), u = (
v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), z = (y-x)^(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,
7, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(x <
y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [1/2, 1/2], [2, 2], [3, 3]]]], [[4,
3, 7, 2, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), y
= x-u^2+2, z = z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [248903/1048576, 248903/1048576], [-31113/131072, -248903/1048576],
[0, 0]]]], [[4, 5, 2, 1, 1], [v = -1, And(-2^(1/2) < u,u < -1), x = -u^2, y <
-u^2, z = z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576],
[-1527887/1048576, -763943/524288], [-3, -3], [0, 0]]]], [[4, 11, 7, 5, 1], [v
= -1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), And(0 < y,y < x-u^2+2), z
< -(y-x)^(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(0 < y,y < x-u^2+2), z = -(y-x)^(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(0 < y,y < x-u^2+2), And(
-(y-x)^(1/2) < z,z < (y-x)^(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(0 < y,y < x-u^2+2), z = (y-x)^(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(0 < y,y < x-u^2+2), (y-x)^(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], [-\
1297479/524288, -2594957/1048576], [-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]
, [-1297479/524288, -2594957/1048576], [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]
, [-1297479/524288, -2594957/1048576], [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 = 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, 6, 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, 6, 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, 6, 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,
6, 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, 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 <
-(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144]
, [-1815885/1048576, -1815885/1048576], [2, 2], [-3, -3]]]], [[5, 3, 3, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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),
u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9, 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
), u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 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), u^2-v^2+x+1
< y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151
/262144], [-1815885/1048576, -1815885/1048576], [2, 2], [3, 3]]]], [[5, 12, 6,
2, 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, 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 = z], [regular_chain, [[-1/2, -1/2], [3, 3], [31/4, 31/4], [31
/8, 31/8], [0, 0]]]], [[6, 4, 9, 5, 1], [v = 0, u = -1, 1 < x, And(x < y,y < x
+2), z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [2, 2], [3, 3], [-2
, -2]]]], [[6, 4, 9, 5, 2], [v = 0, u = -1, 1 < x, And(x < y,y < x+2), z = -(y
-x)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [2, 2], [3, 3], [-1, -1]]]], [[
6, 4, 9, 5, 3], [v = 0, u = -1, 1 < x, And(x < y,y < x+2), And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [-1, -1], [2, 2], [3, 3], [0, 0]
]]], [[6, 4, 9, 5, 4], [v = 0, u = -1, 1 < x, And(x < y,y < x+2), z = (y-x)^(1
/2)], [regular_chain, [[0, 0], [-1, -1], [2, 2], [3, 3], [1, 1]]]], [[6, 4, 9,
5, 5], [v = 0, u = -1, 1 < x, And(x < y,y < x+2), (y-x)^(1/2) < z], [
regular_chain, [[0, 0], [-1, -1], [2, 2], [3, 3], [2, 2]]]], [[6, 6, 3, 3, 1],
[v = 0, u = 0, And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(1
/2)], [regular_chain, [[0, 0], [0, 0], [-1/2, -1/2], [-1/4, -1/4], [-1/2, -1/2
]]]], [[6, 6, 3, 3, 3], [v = 0, u = 0, And(-1 < x,x < 0), And(x < y,y < 0), 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [0, 0], [-1/2
, -1/2], [-1/4, -1/4], [0, 0]]]], [[6, 6, 3, 3, 4], [v = 0, u = 0, And(-1 < x,
x < 0), And(x < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [0, 0], [
-1/2, -1/2], [-1/4, -1/4], [1/2, 1/2]]]], [[6, 6, 3, 3, 5], [v = 0, u = 0, And
(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(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(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0
), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z <
(y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = x+1, 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, 6, 2], [And(0 < v,v < 1), u = v, And(0 <
x,x < 1), y = x+1, 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, 6, 3], [And(0 < v,v < 1), u = v, And(0
< x,x < 1), y = x+1, 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, 6, 4], [And(0 < v,v < 1), u
= v, And(0 < x,x < 1), y = x+1, 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, 6, 5], [And(0 < v,v < 1), u =
v, And(0 < x,x < 1), y = x+1, 1 < z], [regular_chain, [[1/2, 1/2], [1/2, 1/2],
[1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[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 < 0, z = z], [regular_chain, [[
1/2, 1/2], [343151/262144, 343151/262144], [2, 2], [-1, -1], [0, 0]]]], [[7, 
13, 4, 6, 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,
6, 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,
6, 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
, 6, 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, 6
, 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, 2,
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,
2, 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, 2
, 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, 7, 7,
1], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), And(x-u^2+2 < y,y
< u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [-569265/2097152, -569265/2097152], [1527887/2097152, 
1527887/2097152], [-2, -2]]]], [[8, 5, 7, 7, 2], [v = 1, And(-2^(1/2) < u,u <
-1), And(u^2-2 < x,x < 0), And(x-u^2+2 < y,y < u^2+x), z = -(y-x)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-569265/2097152
, -569265/2097152], [1527887/2097152, 1527887/2097152], [-1, -1]]]], [[8, 5, 7
, 7, 3], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), And(x-u^2+2 <
y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1],
[-1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/2097152], [
1527887/2097152, 1527887/2097152], [0, 0]]]], [[8, 5, 7, 7, 4], [v = 1, And(-2
^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), And(x-u^2+2 < y,y < u^2+x), z = (y-x
)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-\
569265/2097152, -569265/2097152], [1527887/2097152, 1527887/2097152], [1, 1]]]
], [[8, 5, 7, 7, 5], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), 
And(x-u^2+2 < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/2097152], [
1527887/2097152, 1527887/2097152], [2, 2]]]], [[8, 12, 1, 7, 1], [v = 1, u = 2
^(1/2), x < -2, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [741455/
524288, 1482911/1048576], [-3, -3], [1, 1], [-3, -3]]]], [[8, 12, 1, 7, 2], [v
= 1, u = 2^(1/2), x < -2, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [
741455/524288, 1482911/1048576], [-3, -3], [1, 1], [-2, -2]]]], [[8, 12, 1, 7,
3], [v = 1, u = 2^(1/2), x < -2, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3, -3], [1, 1],
[0, 0]]]], [[8, 12, 1, 7, 4], [v = 1, u = 2^(1/2), x < -2, 0 < y, z = (y-x)^(1
/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3, -3], [1,
1], [2, 2]]]], [[8, 12, 1, 7, 5], [v = 1, u = 2^(1/2), x < -2, 0 < y, (y-x)^(1
/2) < z], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3, -3],
[1, 1], [3, 3]]]], [[8, 13, 8, 3, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x
= u^2-2, And(0 < y,y < u^2-2), z = z], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [497805/1048576, 248903/524288], [497805/2097152, 
497805/2097152], [0, 0]]]], [[9, 2, 4, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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 = 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, 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], [775271/1048576, 775271/1048576], [775271/1048576, 775271/
1048576], [0, 0]]]], [[9, 3, 9, 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], [775271/1048576, 775271/1048576], [775271/1048576, 775271/
1048576], [1, 1]]]], [[9, 13, 4, 6, 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, 6, 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, 6, 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, 6,
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, 6, 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, 7, 1], [And(1 < v,v < 2^(1/
2)), u = (v^2+1)^(1/2), x = 1, 3 < y, z < -(y-1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [1, 1], [
4, 4], [-3, -3]]]], [[9, 14, 8, 7, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1
/2), x = 1, 3 < y, 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, 7, 3], [And(1 < v,v < 2^(1/2)), u =
(v^2+1)^(1/2), x = 1, 3 < y, 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, 7, 4], [And(
1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = 1, 3 < y, 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, 7, 5
], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = 1, 3 < y, (y-1)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [1, 1], [4, 4], [3, 3]]]], [[10, 1, 7, 7, 1], [v = 2^(1/2), u < -2, 
And(0 < x,x < 1), And(x < y,y < u^2+x-1), z < -(y-x)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [-3, -3], [1/2, 1/2], [9/2, 9/2], [-3, -3]]]
], [[10, 1, 7, 7, 2], [v = 2^(1/2), u < -2, And(0 < x,x < 1), And(x < y,y < u^
2+x-1), z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-3, -3], [1/2, 1/2], [9/2, 9/2], [-2, -2]]]], [[10, 1, 7, 7, 3], [v = 2^(1/2)
, u < -2, And(0 < x,x < 1), And(x < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [1/
2, 1/2], [9/2, 9/2], [0, 0]]]], [[10, 1, 7, 7, 4], [v = 2^(1/2), u < -2, And(0
< x,x < 1), And(x < y,y < u^2+x-1), z = (y-x)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [-3, -3], [1/2, 1/2], [9/2, 9/2], [2, 2]]]], [[10,
1, 7, 7, 5], [v = 2^(1/2), u < -2, And(0 < x,x < 1), And(x < y,y < u^2+x-1), (
y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3],
[1/2, 1/2], [9/2, 9/2], [3, 3]]]], [[10, 3, 1, 3, 1], [v = 2^(1/2), And(-2 < u
,u < -3^(1/2)), x < -u^2+1, And(x-u^2+3 < y,y < x), z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-4, -4
], [-8894075/2097152, -8894075/2097152], [0, 0]]]], [[10, 9, 4, 7, 1], [v = 2^
(1/2), And(-1 < u,u < 0), x = -1, And(0 < y,y < -u^2+2), z < -(y+1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-1, -1], [7/8
, 7/8], [-3, -3]]]], [[10, 9, 4, 7, 2], [v = 2^(1/2), And(-1 < u,u < 0), x = -\
1, And(0 < y,y < -u^2+2), z = -(y+1)^(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, 7, 3], [v = 2^(1/2), And(-1 < u,u < 0), x = -\
1, And(0 < y,y < -u^2+2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-1, -1], [7/8
, 7/8], [0, 0]]]], [[10, 9, 4, 7, 4], [v = 2^(1/2), And(-1 < u,u < 0), x = -1,
And(0 < y,y < -u^2+2), z = (y+1)^(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, 7, 5], [v = 2^(1/2), And(-1 < u,u < 0), x = -1, And(0
< y,y < -u^2+2), (y+1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1/2, -1/2], [-1, -1], [7/8, 7/8], [3, 3]]]], [[10, 10, 7, 3, 1], [
v = 2^(1/2), u = 0, And(0 < x,x < 1), And(x-1 < 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, 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], [-3982445/4194304, -15929779/16777216], [-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], [-\
3982445/4194304, -15929779/16777216], [-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], [-3982445/4194304, -15929779/16777216], [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], [-3982445/
4194304, -15929779/16777216], [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], [-3982445/
4194304, -15929779/16777216], [2, 2]]]], [[10, 16, 6, 1, 1], [v = 2^(1/2), u =
3^(1/2), x = 0, y < 0, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [908093/524288, 1816187/1048576], [0, 0], [-1, -1], [0, 0]]]], [[10,
19, 7, 7, 1], [v = 2^(1/2), 2 < u, And(0 < x,x < 1), And(x < y,y < u^2+x-1), z
< -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [1
/2, 1/2], [9/2, 9/2], [-3, -3]]]], [[10, 19, 7, 7, 2], [v = 2^(1/2), 2 < u, 
And(0 < x,x < 1), And(x < y,y < u^2+x-1), z = -(y-x)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [3, 3], [1/2, 1/2], [9/2, 9/2], [-2, -2]]]],
[[10, 19, 7, 7, 3], [v = 2^(1/2), 2 < u, And(0 < x,x < 1), And(x < y,y < u^2+x
-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288,
1482911/1048576], [3, 3], [1/2, 1/2], [9/2, 9/2], [0, 0]]]], [[10, 19, 7, 7, 4
], [v = 2^(1/2), 2 < u, And(0 < x,x < 1), And(x < y,y < u^2+x-1), z = (y-x)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [1/2, 1/2], [
9/2, 9/2], [2, 2]]]], [[10, 19, 7, 7, 5], [v = 2^(1/2), 2 < u, And(0 < x,x < 1
), And(x < y,y < u^2+x-1), (y-x)^(1/2) < z], [regular_chain, [[741455/524288,
1482911/1048576], [3, 3], [1/2, 1/2], [9/2, 9/2], [3, 3]]]], [[11, 1, 10, 1, 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], [-1, -1], [0, 0]]]], [[11, 5, 11,
1, 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], [-1, -1], [0
, 0]]]], [[11, 7, 8, 2, 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, 2, 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, 2, 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, 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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3,
3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [526475/262144, 2105901/
1048576], [-3, -3]]]], [[11, 13, 5, 8, 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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/
2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1/2, -1/2],
[526475/262144, 2105901/1048576], [-3321417/2097152, -415177/262144]]]], [[11,
13, 5, 8, 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-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], [-1/2, -1/2], [
526475/262144, 2105901/1048576], [0, 0]]]], [[11, 13, 5, 8, 4], [2^(1/2) < v,
And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y = x-u^2+v^2+1,
z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [-1/2, -1/2], [526475/262144, 2105901/1048576], [415177/262144, 
1660709/1048576]]]], [[11, 13, 5, 8, 5], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), And(-1 < x,x < 0), y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z],
[regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [
526475/262144, 2105901/1048576], [3, 3]]]], [[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]
, [-5258313/2097152, -657289/262144], [-2, -2]]]], [[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], [-5258313/2097152, -657289/262144], [-735979/1048576, -1471957/
2097152]]]], [[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], [-\
5258313/2097152, -657289/262144], [-1/4194304, -1/4194304]]]], [[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], [-5258313/2097152, -657289/262144], [367989/524288, 735979
/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], [-5258313/2097152, -657289/
262144], [2, 2]]]], [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1
/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2
], [522727/524288, 522727/524288], [-3, -3]]]], [[11, 19, 5, 7, 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 <
u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [-1/2, -1/2], [522727/524288, 522727/524288], [-1282963/
1048576, -641481/524288]]]], [[11, 19, 5, 7, 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 < u^2-v^2+x+1), And(
-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [3396811/1048576,
3396811/1048576], [-1/2, -1/2], [522727/524288, 522727/524288], [0, 0]]]], [[
11, 19, 5, 7, 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 < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [
[3, 3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [522727/524288, 
522727/524288], [641481/524288, 1282963/1048576]]]], [[11, 19, 5, 7, 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 < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [3396811/
1048576, 3396811/1048576], [-1/2, -1/2], [522727/524288, 522727/524288], [3, 3
]]]], [[11, 20, 8, 3, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 1, And(0 < y,y
< 1), z = z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [1,
1], [1/2, 1/2], [0, 0]]]], [[1, 5, 4, 2, 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, 2, 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, 2, 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, 6, 7, 6, 1], [v < -2^(1/2), u = v, 1 < x, y = x+1, z
< -1], [regular_chain, [[-3, -3], [-3, -3], [2, 2], [3, 3], [-2, -2]]]], [[1,
6, 7, 6, 2], [v < -2^(1/2), u = v, 1 < x, y = x+1, z = -1], [regular_chain, [[
-3, -3], [-3, -3], [2, 2], [3, 3], [-1, -1]]]], [[1, 6, 7, 6, 3], [v < -2^(1/2
), u = v, 1 < x, y = x+1, And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [-3,
-3], [2, 2], [3, 3], [0, 0]]]], [[1, 6, 7, 6, 4], [v < -2^(1/2), u = v, 1 < x,
y = x+1, z = 1], [regular_chain, [[-3, -3], [-3, -3], [2, 2], [3, 3], [1, 1]]]
], [[1, 6, 7, 6, 5], [v < -2^(1/2), u = v, 1 < x, y = x+1, 1 < z], [
regular_chain, [[-3, -3], [-3, -3], [2, 2], [3, 3], [2, 2]]]], [[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
= 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-11, -11], [0, 0],
[-5, -5]]]], [[1, 11, 1, 8, 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
, 8, 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, 8, 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, 8, 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, 3, 9, 1], [v < -2^(1/2),
u = (v^2-2)^(1/2), And(-3 < x,x < -1), x+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-2, -2], [2, 2], [-3
, -3]]]], [[1, 12, 3, 9, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-3 < x,x <
-1), x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576,
10837/4096], [-2, -2], [2, 2], [-2, -2]]]], [[1, 12, 3, 9, 3], [v < -2^(1/2),
u = (v^2-2)^(1/2), And(-3 < x,x < -1), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-2, -2],
[2, 2], [0, 0]]]], [[1, 12, 3, 9, 4], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-3
< x,x < -1), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [-2, -2], [2, 2], [2, 2]]]], [[1, 12, 3, 9, 5], [v < -2^
(1/2), u = (v^2-2)^(1/2), And(-3 < x,x < -1), x+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-2, -2], [2, 2], [3,
3]]]], [[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, u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3
, -3], [3396811/1048576, 3396811/1048576], [2, 2], [6, 6], [-3, -3]]]], [[1, 
19, 11, 9, 2], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x,
u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [2, 2], [6, 6], [-2, -2]]]], [[1, 19, 11, 9, 3], [v
< -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, u^2-v^2+x+1 < y,
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [2, 2], [6, 6], [0, 0]]]], [[1, 19, 11, 9, 4], [v <
-2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, u^2-v^2+x+1 < y, z
= (y-x)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576],
[2, 2], [6, 6], [2, 2]]]], [[1, 19, 11, 9, 5], [v < -2^(1/2), And((v^2+1)^(1/2
) < u,u < (v^2+2)^(1/2)), 1 < x, u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [2, 2], [6, 6],
[3, 3]]]], [[2, 2, 9, 2, 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, 2, 3, 1], [v = -2^(1/2), u = -3^(1/2), x = -2, And(-2 < y,y
< 0), z < -(y+2)^(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(-2 < y,y < 0), z = -(y+2)^(
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(-2 < y,y < 0), And(-(y+2)^(1/2) < z,z < (y+2)
^(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(-2 < y,y < 0), z = (y+2)^(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(-2 < y,y < 0), (y+2)^(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 = 0, z = z], [regular_chain, [[-1482911/1048576, -741455
/524288], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [0, 0], [0, 0]]]],
[[2, 9, 4, 1, 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], [
-3, -3], [0, 0]]]], [[2, 13, 5, 1, 1], [v = -2^(1/2), And(1 < u,u < -v), And(-\
1 < x,x < -u^2+1), y < x, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/
2097152], [-2, -2], [0, 0]]]], [[2, 15, 1, 7, 1], [v = -2^(1/2), And(-v < u,u
< 3^(1/2)), x < -u^2+1, And(u^2+x-1 < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-3, -3], [-799673/1048576, -799673/1048576], [-3, -3]]]], [[2, 15,
1, 7, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, And(u^2+x-1 < y,
y < 0), z = -(y-x)^(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, 7, 3], [v = -2^(1
/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, And(u^2+x-1 < y,y < 0), And(-(y-x)^(
1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288
], [3299097/2097152, 3299097/2097152], [-3, -3], [-799673/1048576, -799673/
1048576], [0, 0]]]], [[2, 15, 1, 7, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2))
, x < -u^2+1, And(u^2+x-1 < y,y < 0), z = (y-x)^(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, 7, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, And(u^2+x-\
1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-3, -3], [-799673/1048576, -\
799673/1048576], [3, 3]]]], [[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 < x-u^2+v^2+1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [7909297/
2097152, 7909297/2097152], [-4, -4], [0, 0]]]], [[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 =
-2*u^2+2*v^2, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-14373233/8388608, -14373233/8388608], [-1299559/524288, -2599117/1048576], [-\
12404333/4194304, -49617331/16777216], [0, 0]]]], [[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, -2*u^2+2*v^2 <
y, 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, 7, 2], [And(-2^(1/2) < v,v < -1), And
(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, -2*u^2+2*v^2 < y, 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, 7, 3], [And(-2^(1/2) < v,v <
-1), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, -2*u^2+2*v^2 < y, 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, 7, 4
], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, -\
2*u^2+2*v^2 < y, 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, 7, 5],
[And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, -2*u
^2+2*v^2 < y, (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, 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 = 0, z < -(-x)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-4, -4]
, [0, 0], [-3, -3]]]], [[3, 9, 1, 8, 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, 8, 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, 8, 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, 8, 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]]]], [[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 = u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [3, 3], [8, 8], [17346481/1048576, 8673241/524288], [-4, -4
]]]], [[3, 17, 11, 8, 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], [17346481/1048576, 8673241/524288]
, [-1532401/524288, -24518415/8388608]]]], [[3, 17, 11, 8, 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], [17346481/1048576, 8673241/524288], [-7/
16777216, -7/16777216]]]], [[3, 17, 11, 8, 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], [
17346481/1048576, 8673241/524288], [3064801/1048576, 1532401/524288]]]], [[3,
17, 11, 8, 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], [17346481/1048576, 8673241/524288], [4, 4]]]
], [[4, 2, 2, 7, 1], [v = -1, u = -3^(1/2), x = -3, 0 < y, z < -(y+3)^(1/2)],
[regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-3, -3], [1,
1], [-3, -3]]]], [[4, 2, 2, 7, 2], [v = -1, u = -3^(1/2), x = -3, 0 < y, z = -
(y+3)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152],
[-3, -3], [1, 1], [-2, -2]]]], [[4, 2, 2, 7, 3], [v = -1, u = -3^(1/2), x = -3
, 0 < y, And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))], [regular_chain, [[-1, -1], [-\
1816187/1048576, -3632373/2097152], [-3, -3], [1, 1], [0, 0]]]], [[4, 2, 2, 7,
4], [v = -1, u = -3^(1/2), x = -3, 0 < y, z = (y+3)^(1/2)], [regular_chain, [[
-1, -1], [-1816187/1048576, -3632373/2097152], [-3, -3], [1, 1], [2, 2]]]], [[
4, 2, 2, 7, 5], [v = -1, u = -3^(1/2), x = -3, 0 < y, (y+3)^(1/2) < z], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-3, -3], [1,
1], [3, 3]]]], [[4, 6, 5, 3, 1], [v = -1, u = -1, And(0 < x,x < 1), And(0 < y,
y < x), z = z], [regular_chain, [[-1, -1], [-1, -1], [1/2, 1/2], [1/4, 1/4], [
0, 0]]]], [[4, 7, 11, 8, 1], [v = -1, And(-1 < u,u < 0), 1 < x, y = x-u^2+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, 8, 2], [v = -1, And(-1 < u,u < 0), 1 < x, y = x-
u^2+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, 8, 3], [v = -1,
And(-1 < u,u < 0), 1 < x, y = x-u^2+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, 8, 4], [v = -1, And(-1 < u,u < 0), 1 < x, y = x-u^2+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, 8, 5], [v = -1, And(-1 < u,u < 0)
, 1 < x, y = x-u^2+2, (-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -\
1/2], [2, 2], [15/4, 15/4], [3, 3]]]], [[4, 14, 4, 5, 1], [v = -1, u = 3^(1/2)
, x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y
< 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = 1, z < 0]
, [regular_chain, [[-1, -1], [3, 3], [1, 1], [1, 1], [-1, -1]]]], [[4, 15, 8,
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, 8, 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, 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, u^2-v^2+x+1 < y, z < -(y-x)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [2, 2],
[5, 5], [-3, -3]]]], [[5, 5, 11, 9, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2)
< u,u < v), 1 < x, u^2-v^2+x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1/2,
-1/2], [-1696631/2097152, -1696631/2097152], [2, 2], [5, 5], [-1816187/1048576
, -3632373/2097152]]]], [[5, 5, 11, 9, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1
/2) < u,u < v), 1 < x, u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [2, 2],
[5, 5], [-1/4194304, -1/4194304]]]], [[5, 5, 11, 9, 4], [And(-1 < v,v < 0), 
And(-(v^2+1)^(1/2) < u,u < v), 1 < x, u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [2, 2], [5
, 5], [908093/524288, 1816187/1048576]]]], [[5, 5, 11, 9, 5], [And(-1 < v,v <
0), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [2, 2], [5
, 5], [3, 3]]]], [[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 = 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, 4, 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, 4, 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]]]], [[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 < -1), z = z], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1, -1], [-\
1291597/1048576, -1291597/1048576], [0, 0]]]], [[6, 2, 1, 5, 1], [v = 0, u = -
2^(1/2), x < -3, And(x < y,y < x+3), z < -(y-x)^(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 < y,y < x+3), z = -(y-x)^(
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 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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 <
y,y < x+3), z = (y-x)^(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 < y,y < x+3), (y-x)^(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 = 0, z < -(-x)^(1/2)], [regular_chain, [[0, 0], [-1265743
/1048576, -1265743/1048576], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[6, 3, 5, 6,
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, 6, 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, 6, 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, 6, 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, 9, 5, 1], [v = 0,
And(1 < u,u < 2^(1/2)), And(u^2-1 < x,x < 1), And(x-u^2+1 < y,y < x), z = z],
[regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [1527887/2097152,
1527887/2097152], [1/2, 1/2], [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 = 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], [1815885/524288, 3631771/1048576], [-3
, -3]]]], [[7, 3, 10, 8, 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], [1815885/524288, 3631771
/1048576], [-3291611/2097152, -1645805/1048576]]]], [[7, 3, 10, 8, 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], [1815885/524288, 3631771/1048576]
, [0, 0]]]], [[7, 3, 10, 8, 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], [1815885/524288, 
3631771/1048576], [1645805/1048576, 822903/524288]]]], [[7, 3, 10, 8, 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], [1815885/524288, 3631771/1048576], [3, 3]]]], [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[1/2
, 1/2], [-1696631/2097152, -1696631/2097152], [-1672995/2097152, -1672995/
2097152], [636235/2097152, 636235/2097152], [-3, -3]]]], [[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(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152], [
636235/2097152, 636235/2097152], [-1100319/1048576, -550159/524288]]]], [[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(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1672995
/2097152, -1672995/2097152], [636235/2097152, 636235/2097152], [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(0 < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[1/
2, 1/2], [-1696631/2097152, -1696631/2097152], [-1672995/2097152, -1672995/
2097152], [636235/2097152, 636235/2097152], [550159/524288, 1100319/1048576]]]
], [[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(0 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1672995/
2097152, -1672995/2097152], [636235/2097152, 636235/2097152], [3, 3]]]], [[8,
1, 6, 1, 1], [v = 1, u < -3^(1/2), x = 0, y < -u^2+2, z = z], [regular_chain,
[[1, 1], [-3, -3], [0, 0], [-8, -8], [0, 0]]]], [[8, 2, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 9, 1], [v = 1, And(-1 < u,u < 0), And(u^2-2 < x,x <
-1), x-u^2+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-\
11/8, -11/8], [2, 2], [-3, -3]]]], [[8, 7, 3, 9, 2], [v = 1, And(-1 < u,u < 0)
, And(u^2-2 < x,x < -1), x-u^2+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[1,
1], [-1/2, -1/2], [-11/8, -11/8], [2, 2], [-7705429/4194304, -1926357/1048576]
]]], [[8, 7, 3, 9, 3], [v = 1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), x-u^2
+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-1/2
, -1/2], [-11/8, -11/8], [2, 2], [0, 0]]]], [[8, 7, 3, 9, 4], [v = 1, And(-1 <
u,u < 0), And(u^2-2 < x,x < -1), x-u^2+2 < y, z = (y-x)^(1/2)], [regular_chain
, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [2, 2], [1926357/1048576, 963179/
524288]]]], [[8, 7, 3, 9, 5], [v = 1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1)
, x-u^2+2 < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-1/2, -1/2], [-11/8
, -11/8], [2, 2], [3, 3]]]], [[8, 8, 8, 1, 1], [v = 1, u = 0, x = 1, y < 0, z
= z], [regular_chain, [[1, 1], [0, 0], [1, 1], [-1, -1], [0, 0]]]], [[8, 14, 9
, 9, 1], [v = 1, u = 3^(1/2), 1 < x, x+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [2, 2], [6, 6], [-3,
-3]]]], [[8, 14, 9, 9, 2], [v = 1, u = 3^(1/2), 1 < x, x+3 < y, z = -(y-x)^(1/
2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [2, 2], [6, 6]
, [-2, -2]]]], [[8, 14, 9, 9, 3], [v = 1, u = 3^(1/2), 1 < x, x+3 < y, And(-(y
-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [908093/524288, 
1816187/1048576], [2, 2], [6, 6], [0, 0]]]], [[8, 14, 9, 9, 4], [v = 1, u = 3^
(1/2), 1 < x, x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [908093/
524288, 1816187/1048576], [2, 2], [6, 6], [2, 2]]]], [[8, 14, 9, 9, 5], [v = 1
, u = 3^(1/2), 1 < x, x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [
908093/524288, 1816187/1048576], [2, 2], [6, 6], [3, 3]]]], [[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(x
< y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [-10006449/4194304
, -10006449/4194304], [-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(x < y,y < 0), z = -(y-x)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-\
10006449/2097152, -10006449/2097152], [-10006449/4194304, -10006449/4194304],
[-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(x < y,y < 0), And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [-10006449/4194304
, -10006449/4194304], [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(x < y,y < 0), z = (y-x)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10006449/
2097152, -10006449/2097152], [-10006449/4194304, -10006449/4194304], [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(x < y,y < 0), (y-x)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10006449/
2097152, -10006449/2097152], [-10006449/4194304, -10006449/4194304], [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 < -1, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-1, -1], [-2, -2], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-3, -3], [-3, -3], [-1, -1]]]], [[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 = x,
z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304
, -3949363/4194304], [-3, -3], [-3, -3], [0, 0]]]], [[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 = x, 0 < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3, -3], [-3, -3], [1, 1]]]], [[9, 10, 2, 1, 1], [And(1 < v
,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -2, y < -2, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-2, -2],
[-3, -3], [0, 0]]]], [[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
], [450371/1048576, 112593/262144], [-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], [450371/1048576, 112593/262144], [-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], [450371/1048576, 112593/262144], [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], [450371/
1048576, 112593/262144], [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], [450371/1048576, 112593/262144], [2,
2]]]], [[9, 16, 1, 5, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x < -3,
And(x < y,y < x+3), z < -(y-x)^(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 < y,y < x+3), z = -(y-x)^(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 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-
x)^(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 < y,y < x+3), z = (y-x)^
(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 <
y,y < x+3), (y-x)^(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 = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [
0, 0], [-8, -8], [0, 0]]]], [[10, 6, 2, 2, 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, 2, 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, 2, 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, 3, 1], [v = 2^(1/2), And(
-v < u,u < -1), x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [1/2,
1/2], [0, 0]]]], [[10, 11, 10, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 6, 2,
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], [-479311/1048576, -239655/524288]
, [-1, -1]]]], [[10, 13, 6, 2, 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], [-479311
/1048576, -239655/524288], [0, 0]]]], [[10, 13, 6, 2, 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], [-479311/1048576, -239655/524288], [1, 1]]]], [[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, 0
< y, 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, 7, 2], [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 = -(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, 7, 3], [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, 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, 7, 4], [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 = (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, 7, 5], [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, (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, 6, 4, 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, 4, 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, 4,
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, 4, 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, 4, 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, 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
= 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, 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 = 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, 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 = 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, 6, 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, 6, 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, 5, 2, 1], [2^(1
/2) < v, u = -(v^2-2)^(1/2), And(-1 < x,x < 0), y = x-1, z = z], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2], [-\
3/2, -3/2], [0, 0]]]], [[11, 16, 3, 5, 1], [2^(1/2) < v, u = v, And(-1 < x,x <
0), And(0 < y,y < x+1), z < -(y-x)^(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+1), z = -(y-x)^(1/2)], [regular_chain, [[3,
3], [3, 3], [-1/2, -1/2], [1/4, 1/4], [-1816187/2097152, -3632373/4194304]]]],
[[11, 16, 3, 5, 3], [2^(1/2) < v, u = v, And(-1 < x,x < 0), And(0 < y,y < x+1)
, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [3, 3], [-1
/2, -1/2], [1/4, 1/4], [-1/8388608, -1/8388608]]]], [[11, 16, 3, 5, 4], [2^(1/
2) < v, u = v, And(-1 < x,x < 0), And(0 < y,y < x+1), z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [1/4, 1/4], [908093/1048576, 
454047/524288]]]], [[11, 16, 3, 5, 5], [2^(1/2) < v, u = v, And(-1 < x,x < 0),
And(0 < y,y < x+1), (y-x)^(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 = 0, z = z], [regular_chain, [[3, 3], [403851/131072,
403851/131072], [2, 2], [0, 0], [0, 0]]]], [[11, 21, 11, 9, 1], [2^(1/2) < v,
(v^2+2)^(1/2) < u, u^2-v^2-1 < x, u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [5, 5], [16, 16], [34, 34], [-6, -6]]]], [[11, 21, 11,
9, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, u^2-v^2-1 < x, u^2-v^2+x+1 < y, z = -(
y-x)^(1/2)], [regular_chain, [[3, 3], [5, 5], [16, 16], [34, 34], [-1112183/
262144, -4448731/1048576]]]], [[11, 21, 11, 9, 3], [2^(1/2) < v, (v^2+2)^(1/2)
< u, u^2-v^2-1 < x, u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [5, 5], [16, 16], [34, 34], [0, 0]]]], [[11, 21, 11, 9
, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, u^2-v^2-1 < x, u^2-v^2+x+1 < y, z = (y-
x)^(1/2)], [regular_chain, [[3, 3], [5, 5], [16, 16], [34, 34], [4448731/
1048576, 1112183/262144]]]], [[11, 21, 11, 9, 5], [2^(1/2) < v, (v^2+2)^(1/2)
< u, u^2-v^2-1 < x, u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3]
, [5, 5], [16, 16], [34, 34], [6, 6]]]], [[1, 2, 4, 8, 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, 8
, 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, 8, 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, 8, 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, 8, 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, 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 = 0, z = z], [regular_chain,
[[-3, -3], [-3396811/1048576, -3396811/1048576], [1566621/2097152, 1566621/
2097152], [0, 0], [0, 0]]]], [[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 < 0, z = z], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [395403/524288, 395403/524288], [-1, -1]
, [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [-129143/524288
, -258285/1048576], [-1, -1]]]], [[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 = x, z = 0], [regular_chain,
[[-3, -3], [6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/
2097152], [-129143/524288, -258285/1048576], [0, 0]]]], [[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 = x, 0
< z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-516571/
2097152, -516571/2097152], [-129143/524288, -258285/1048576], [1, 1]]]], [[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 = 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], [258691/
1048576, 64673/262144], [-3, -3]]]], [[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 = 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], [258691/1048576, 64673/262144], [-1281417/
1048576, -160177/131072]]]], [[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 = u^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], [258691/1048576, 64673/
262144], [0, 0]]]], [[1, 17, 3, 8, 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], [258691/1048576, 64673/262144], [160177/131072, 1281417/
1048576]]]], [[1, 17, 3, 8, 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], [258691/1048576, 64673/262144], [3, 3]]]], [[1, 21, 5, 1, 1]
, [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y < x-u^2+v^2+1, z = z]
, [regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2], [-17, -17], [0, 0]]]], [[2,
1, 7, 2, 1], [v = -2^(1/2), u < -2, And(0 < x,x < 1), y = x-u^2+3, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [1/2, 1/2], [-11
/2, -11/2], [0, 0]]]], [[2, 10, 5, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 10, 2, 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, 4, 6, 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, 6, 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,
6, 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, 6, 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, 6, 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,
17, 10, 1, 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], [-1, -1], [0, 0]]]], [[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, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-1/2,
-1/2], [-2, -2], [0, 0]]]], [[3, 5, 10, 3, 1], [And(-2^(1/2) < v,v < -1), And(
-(v^2+1)^(1/2) < u,u < v), x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [1,
1], [1/2, 1/2], [0, 0]]]], [[3, 10, 4, 7, 1], [And(-2^(1/2) < v,v < -1), u = (
v^2-1)^(1/2), x = -1, 1 < y, z < -(y+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-1, -1], [2, 2],
[-3, -3]]]], [[3, 10, 4, 7, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2),
x = -1, 1 < y, z = -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [354469/524288, 708939/1048576], [-1, -1], [2, 2], [-1816187/
1048576, -3632373/2097152]]]], [[3, 10, 4, 7, 3], [And(-2^(1/2) < v,v < -1), u
= (v^2-1)^(1/2), x = -1, 1 < y, 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], [-1/4194304, -1/4194304]]]], [[3, 10, 4, 7, 4], [
And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -1, 1 < y, z = (y+1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-1, -1], [2, 2], [908093/524288, 1816187/1048576]]]], [[3, 10, 4, 7
, 5], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -1, 1 < y, (y+1)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 
708939/1048576], [-1, -1], [2, 2], [3, 3]]]], [[3, 11, 10, 2, 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, 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(0 < y,y
< u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [2074829/
2097152, 2074829/2097152], [-3, -3]]]], [[3, 15, 5, 7, 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 < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [2074829/
2097152, 2074829/2097152], [-639837/524288, -1279673/1048576]]]], [[3, 15, 5,
7, 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 < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^
(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288
, 898327/524288], [-1/2, -1/2], [2074829/2097152, 2074829/2097152], [0, 0]]]],
[[3, 15, 5, 7, 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 < u^2-v^2+x+1), z = (y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-1/2, -1/2], [2074829/2097152, 2074829/2097152], [1279673/1048576, 
639837/524288]]]], [[3, 15, 5, 7, 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 < u^2-v^2+x+1), (y
-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327
/524288, 898327/524288], [-1/2, -1/2], [2074829/2097152, 2074829/2097152], [3,
3]]]], [[3, 16, 7, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 1, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), 
And(0 < x,x < u^2-2), y < x-u^2+2, z = z], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [248903/1048576, 248903/1048576], [-2, -2]
, [0, 0]]]], [[4, 5, 1, 9, 1], [v = -1, And(-2^(1/2) < u,u < -1), x < -u^2, 0
< y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743
/1048576], [-3, -3], [1, 1], [-3, -3]]]], [[4, 5, 1, 9, 2], [v = -1, And(-2^(1
/2) < u,u < -1), x < -u^2, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1]
, [-1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [-2, -2]]]], [[4, 5,
1, 9, 3], [v = -1, And(-2^(1/2) < u,u < -1), x < -u^2, 0 < y, And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-3, -3], [1, 1], [0, 0]]]], [[4, 5, 1, 9, 4], [v = -1, And(-2^(1/2)
< u,u < -1), x < -u^2, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [2, 2]]]], [[4, 5, 1, 9,
5], [v = -1, And(-2^(1/2) < u,u < -1), x < -u^2, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3, -3], [1,
1], [3, 3]]]], [[4, 11, 7, 6, 1], [v = -1, And(1 < u,u < 2^(1/2)), And(u^2-2 <
x,x < 0), y = x-u^2+2, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [35579/
131072, 284633/1048576], [-2, -2]]]], [[4, 11, 7, 6, 2], [v = -1, And(1 < u,u
< 2^(1/2)), And(u^2-2 < x,x < 0), y = x-u^2+2, z = -(-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-569265/2097152
, -569265/2097152], [35579/131072, 284633/1048576], [-772605/1048576, -1545209
/2097152]]]], [[4, 11, 7, 6, 3], [v = -1, And(1 < u,u < 2^(1/2)), And(u^2-2 <
x,x < 0), y = x-u^2+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], [35579/131072, 284633/1048576], [-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
= x-u^2+2, z = (-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 
1265743/1048576], [-569265/2097152, -569265/2097152], [35579/131072, 284633/
1048576], [193151/262144, 772605/1048576]]]], [[4, 11, 7, 6, 5], [v = -1, And(
1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y = x-u^2+2, (-u^2+2)^(1/2) < z], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-569265/2097152
, -569265/2097152], [35579/131072, 284633/1048576], [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 < 0), 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, 5, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -u^2
, And(-u^2 < y,y < 0), 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, 5, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -u^2, And(-u^2 < y,
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], [-\
2594957/2097152, -2594957/2097152], [0, 0]]]], [[4, 13, 2, 5, 4], [v = -1, And
(2^(1/2) < u,u < 3^(1/2)), x = -u^2, And(-u^2 < y,y < 0), 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, 5, 5], [v = -1, And(2^(1/2) < u,u < 3^
(1/2)), x = -u^2, And(-u^2 < y,y < 0), (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, 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 < 2*u^2-2*v
^2), z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [31/4
, 31/4], [101/8, 101/8], [-4, -4]]]], [[5, 1, 10, 5, 2], [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 = -(y-u
^2+v^2+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, 5, 3], [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), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [
[-1/2, -1/2], [-3, -3], [31/4, 31/4], [101/8, 101/8], [0, 0]]]], [[5, 1, 10, 5
, 4], [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 = (y-u^2+v^2+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, 5, 5], [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), (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1/2
, -1/2], [-3, -3], [31/4, 31/4], [101/8, 101/8], [4, 4]]]], [[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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2,
-1/2], [-343151/262144, -343151/262144], [-1815885/1048576, -1815885/1048576],
[767309/1048576, 383655/524288], [-3, -3]]]], [[5, 3, 3, 8, 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], [767309/
1048576, 383655/524288], [-3291611/2097152, -1645805/1048576]]]], [[5, 3, 3, 8
, 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], [767309/1048576, 383655/524288], [0, 0]]]]
, [[5, 3, 3, 8, 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], [767309/1048576, 383655/524288], [1645805/1048576,
822903/524288]]]], [[5, 3, 3, 8, 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], [767309/1048576, 383655/524288], [3, 3]]
]], [[5, 12, 6, 3, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 0, And(-1 <
y,y < 0), z = z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [0, 0], [-1/2, -1
/2], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[0, 0], [0, 0], [-1/2, -1/2], [
-1/2, -1/2], [-1, -1]]]], [[6, 6, 3, 2, 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, 2, 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,
4, 6, 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
, 6, 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
, 6, 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, 6, 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,
6, 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,
5, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = 0, And(0 <
y,y < 3), 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, 5, 3], [And(0 < v,
v < 1), u = -(v^2+2)^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = 0, And(0 < y,y
< 3), 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, 5, 5], [And(0 < v,v < 1),
u = -(v^2+2)^(1/2), x = 0, And(0 < y,y < 3), y^(1/2) < z], [regular_chain, [[1
/2, 1/2], [-3/2, -3/2], [0, 0], [3/2, 3/2], [3, 3]]]], [[7, 7, 2, 3, 1], [And(
0 < v,v < 1), And(-v < u,u < v), x = u^2-v^2-1, And(u^2-v^2-1 < y,y < 2*u^2-2*
v^2), z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-5/4, -\
5/4], [-7/8, -7/8], [-2, -2]]]], [[7, 7, 2, 3, 2], [And(0 < v,v < 1), And(-v <
u,u < v), x = u^2-v^2-1, And(u^2-v^2-1 < y,y < 2*u^2-2*v^2), z = -(y-u^2+v^2+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, 3, 3], [And(0 < v,v < 1), And
(-v < u,u < v), x = u^2-v^2-1, And(u^2-v^2-1 < y,y < 2*u^2-2*v^2), And(-(y-u^2
+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [0,
0], [-5/4, -5/4], [-7/8, -7/8], [0, 0]]]], [[7, 7, 2, 3, 4], [And(0 < v,v < 1)
, And(-v < u,u < v), x = u^2-v^2-1, And(u^2-v^2-1 < y,y < 2*u^2-2*v^2), z = (y
-u^2+v^2+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, 3, 5], [And(0 < v,v < 1),
And(-v < u,u < v), x = u^2-v^2-1, And(u^2-v^2-1 < y,y < 2*u^2-2*v^2), (y-u^2+v
^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [-5/4, -5/4], [-7/8, -7
/8], [2, 2]]]], [[7, 8, 5, 5, 1], [And(0 < v,v < 1), u = v, And(0 < x,x < 1),
And(x < y,y < x+1), z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/2]
, [1/2, 1/2], [1, 1], [-2, -2]]]], [[7, 8, 5, 5, 2], [And(0 < v,v < 1), u = v,
And(0 < x,x < 1), And(x < y,y < x+1), z = -(y-x)^(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, 5, 3], [And(0 < v,v < 1), u = v, And(0 < x,x < 1), And(x < y,y <
x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [1/
2, 1/2], [1/2, 1/2], [1, 1], [0, 0]]]], [[7, 8, 5, 5, 4], [And(0 < v,v < 1), u
= v, And(0 < x,x < 1), And(x < y,y < x+1), z = (y-x)^(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, 5, 5], [And(0 < v,v < 1), u = v, And(0 < x,x < 1), And(x < y,y < x+
1), (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [1/2, 1/2], [1,
1], [2, 2]]]], [[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, u^2-v^2+2 < y, z < -(y-1)^(1/2)], [regular_chain, [[1
/2, 1/2], [343151/262144, 343151/262144], [1, 1], [5, 5], [-3, -3]]]], [[7, 11
, 10, 9, 2], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x =
1, u^2-v^2+2 < y, z = -(y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [1, 1], [5, 5], [-2, -2]]]], [[7, 11, 10, 9, 3], [And(
0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, u^2-v^2+2 < y,
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, 9, 4], [And(0
< v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, u^2-v^2+2 < y, z
= (y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [
1, 1], [5, 5], [2, 2]]]], [[7, 11, 10, 9, 5], [And(0 < v,v < 1), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), x = 1, u^2-v^2+2 < y, (y-1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [1, 1], [5, 5], [3
, 3]]]], [[7, 13, 4, 5, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -1, And(
-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y
< 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y
< 0), (y+1)^(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(x < y,y
< x+2), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455
/524288], [-3, -3], [-2, -2], [-2, -2]]]], [[8, 4, 1, 3, 2], [v = 1, u = -2^(1
/2), x < -2, And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [
-1482911/1048576, -741455/524288], [-3, -3], [-2, -2], [-1, -1]]]], [[8, 4, 1,
3, 3], [v = 1, u = -2^(1/2), x < -2, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,
z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288]
, [-3, -3], [-2, -2], [0, 0]]]], [[8, 4, 1, 3, 4], [v = 1, u = -2^(1/2), x < -\
2, And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [-3, -3], [-2, -2], [1, 1]]]], [[8, 4, 1, 3, 5], [v
= 1, u = -2^(1/2), x < -2, And(x < y,y < x+2), (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-3, -3], [-2, -2]
, [2, 2]]]], [[8, 5, 7, 8, 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], [621627/524288, 1243255/
1048576], [-3, -3]]]], [[8, 5, 7, 8, 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], [621627/524288
, 1243255/1048576], [-1265743/1048576, -1265743/1048576]]]], [[8, 5, 7, 8, 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], [621627/524288, 1243255/1048576], [0, 0]]]],
[[8, 5, 7, 8, 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], [621627/524288, 1243255/1048576], [1265743
/1048576, 1265743/1048576]]]], [[8, 5, 7, 8, 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], [
621627/524288, 1243255/1048576], [3, 3]]]], [[8, 12, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 8, 2, 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, 4, 9, 1], [And(
1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -1, 2 < y, z < -(y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1, -1], [3, 3], [-3, -3]]]], [[9, 2, 4, 9, 2], [And(1 < v,
v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -1, 2 < y, z = -(y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1, -1], [3, 3], [-2, -2]]]], [[9, 2, 4, 9, 3], [And(1 < v,
v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -1, 2 < y, And(-(y+1)^(1/2) < z,z < (y+1
)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-1, -1], [3, 3], [0, 0]]]], [[9, 2, 4, 9, 4], [
And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -1, 2 < y, z = (y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1, -1], [3, 3], [2, 2]]]], [[9, 2, 4, 9, 5], [And(1 < v,v
< 2^(1/2)), u = -(v^2+2)^(1/2), x = -1, 2 < y, (y+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1, -1], [3, 3], [3, 3]]]], [[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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(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, 7, 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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 7, 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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 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(x < y,y < u^2-v^2
+x+1), z = (y-x)^(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, 7, 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(x < y,y < u^2-v^2+x+1), (y-x)^(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, 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 < y,y < 0), z < -(y+1)^(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(-
u^2+v^2 < y,y < 0), z = -(y+1)^(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(-u^2
+v^2 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-u^2+v^2 < y,y < 0),
z = (y+1)^(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(-u^2+v^2 < y,y < 0), (y+1)^(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 = 3, z <
-2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/
1048576, 410915/262144], [1, 1], [3, 3], [-3, -3]]]], [[9, 14, 8, 6, 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, 6,
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, 6, 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, 6, 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, 7, 8, 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, 8, 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, 8,
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, 8, 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, 8, 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, 1, 4, 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, 4, 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, 4, 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, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 2, 1], [v = 2^(1/2), u = 0, And(0 < x,x < 1), y =
x-1, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [1/2,
1/2], [-1/2, -1/2], [0, 0]]]], [[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 < 0), z < -(u^2+y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-773191/524288, -1546381/1048576], [-15929779/33554432, -15929779/
33554432], [-3, -3]]]], [[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 < 0), z = -(u^2+y-1)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-\
773191/524288, -1546381/1048576], [-15929779/33554432, -15929779/33554432], [-\
1048577/1048576, -1]]]], [[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 < 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], [-15929779/
33554432, -15929779/33554432], [0, 0]]]], [[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 < 0), z = (u^2+y-1)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-773191/524288, -1546381/1048576], [-15929779/33554432, -\
15929779/33554432], [1, 1048577/1048576]]]], [[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 < 0), (u^2+y-1)^(1/2) <
z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-773191/524288, -1546381/1048576], [-15929779/33554432, -\
15929779/33554432], [3, 3]]]], [[10, 16, 6, 2, 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, 2,
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, 2, 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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 10, 2, 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,
10, 9, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 1, u^2-v^2+2 < y,
z < -(y-1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072],
[1, 1], [4, 4], [-3, -3]]]], [[11, 5, 10, 9, 2], [2^(1/2) < v, And(-(v^2+1)^(1
/2) < u,u < -v), x = 1, u^2-v^2+2 < y, z = -(y-1)^(1/2)], [regular_chain, [[3,
3], [-403851/131072, -403851/131072], [1, 1], [4, 4], [-1816187/1048576, -\
3632373/2097152]]]], [[11, 5, 10, 9, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,
u < -v), x = 1, u^2-v^2+2 < y, 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, 9, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2)
< u,u < -v), x = 1, u^2-v^2+2 < y, z = (y-1)^(1/2)], [regular_chain, [[3, 3],
[-403851/131072, -403851/131072], [1, 1], [4, 4], [908093/524288, 1816187/
1048576]]]], [[11, 5, 10, 9, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
x = 1, u^2-v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [1, 1], [4, 4], [3, 3]]]], [[11, 7, 8, 1, 1], [2^(1/2
) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 0, y < 0, z = z], [regular_chain, [
[3, 3], [-6111549/2097152, -6111549/2097152], [0, 0], [-1, -1], [0, 0]]]], [[
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), x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [-1/2, -1/2], [4, 4], [-4, -4]]]], [[11, 13,
5, 9, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x
< 0), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [-1/2, -1/2], [4, 4], [-1112183/524288, -2224365/
1048576]]]], [[11, 13, 5, 9, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-\
1)^(1/2)), And(-1 < x,x < 0), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^
(1/2))], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1/2, -1/
2], [4, 4], [0, 0]]]], [[11, 13, 5, 9, 4], [2^(1/2) < v, And((v^2-2)^(1/2) < u
,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [4, 4]
, [2224365/1048576, 1112183/524288]]]], [[11, 13, 5, 9, 5], [2^(1/2) < v, And(
(v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), x-u^2+v^2+1 < y, (y-x
)^(1/2) < z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1/2
, -1/2], [4, 4], [4, 4]]]], [[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 < x-u^2+v^2+1), z < -(y-x)^
(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 < x-u^2+v^2+1), z = -(y-x)^(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 < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,
z < (y-x)^(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 < x-u^2+v^2+1), z = (y
-x)^(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 < x-u^2+v^2+1), (y-x)^(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 = 0, z < -(-x)^(1/2)], [regular_chain, [[
3, 3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [0, 0], [-2, -2]]]],
[[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 = 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, 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 = 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, 6, 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, 6, 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, 8, 2, 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, 4, 1, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -1,
y < -1, z = z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [
-1, -1], [-2, -2], [0, 0]]]], [[1, 6, 7, 5, 1], [v < -2^(1/2), u = v, 1 < x, 
And(x < y,y < x+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [2
, 2], [5/2, 5/2], [-2, -2]]]], [[1, 6, 7, 5, 2], [v < -2^(1/2), u = v, 1 < x,
And(x < y,y < x+1), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [2
, 2], [5/2, 5/2], [-1482911/2097152, -741455/1048576]]]], [[1, 6, 7, 5, 3], [v
< -2^(1/2), u = v, 1 < x, And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[-3, -3], [-3, -3], [2, 2], [5/2, 5/2], [0, 0]]]], [[
1, 6, 7, 5, 4], [v < -2^(1/2), u = v, 1 < x, And(x < y,y < x+1), z = (y-x)^(1/
2)], [regular_chain, [[-3, -3], [-3, -3], [2, 2], [5/2, 5/2], [741455/1048576,
46341/65536]]]], [[1, 6, 7, 5, 5], [v < -2^(1/2), u = v, 1 < x, And(x < y,y <
x+1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-3, -3], [2, 2], [5/2, 5/2
], [2, 2]]]], [[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, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3
], [0, 0], [-11, -11], [1, 1], [-5, -5]]]], [[1, 11, 1, 9, 2], [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 = -(y-x)^(1
/2)], [regular_chain, [[-3, -3], [0, 0], [-11, -11], [1, 1], [-1816187/524288,
-3632373/1048576]]]], [[1, 11, 1, 9, 3], [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, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2
))], [regular_chain, [[-3, -3], [0, 0], [-11, -11], [1, 1], [0, 0]]]], [[1, 11
, 1, 9, 4], [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 = (y-x)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-11, -11],
[1, 1], [3632373/1048576, 1816187/524288]]]], [[1, 11, 1, 9, 5], [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, (y-x)^(1/2)
< z], [regular_chain, [[-3, -3], [0, 0], [-11, -11], [1, 1], [5, 5]]]], [[1, 
12, 4, 1, 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], [-3, -3], [
0, 0]]]], [[1, 18, 7, 3, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), And(0 < x,x < 1
), And(0 < y,y < x), z = z], [regular_chain, [[-3, -3], [207243/65536, 3315889
/1048576], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[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 = u^2-v^2+x+1, z < -(u^2
-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576],
[2, 2], [1178087/262144, 4712349/1048576], [-3, -3]]]], [[1, 19, 11, 8, 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], [1178087/262144, 4712349/1048576], [-1655969/1048576, -\
3311937/2097152]]]], [[1, 19, 11, 8, 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], [1178087/262144, 4712349/1048576], [-1/4194304, -1/4194304]]]], [[1
, 19, 11, 8, 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], [1178087/262144, 4712349/1048576],
[51749/32768, 1655969/1048576]]]], [[1, 19, 11, 8, 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], [
1178087/262144, 4712349/1048576], [3, 3]]]], [[2, 2, 9, 3, 1], [v = -2^(1/2),
u = -2, 1 < x, And(0 < y,y < x-1), z = z], [regular_chain, [[-1482911/1048576,
-741455/524288], [-2, -2], [2, 2], [1/2, 1/2], [0, 0]]]], [[2, 4, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 7, 9, 1, 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], [-1, -1], [0, 0]]]], [[2, 9, 3, 9, 1], [v = -2^(1/2), And(-1 < u,u < 0),
And(u^2-3 < x,x < -1), x-u^2+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [-15/8, -15/8], [2, 2], [-3, -\
3]]]], [[2, 9, 3, 9, 2], [v = -2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -\
1), x-u^2+3 < y, z = -(y-x)^(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, 9, 3], [v = -2^(1/2), And(-1 < u,u < 0), And(
u^2-3 < x,x < -1), x-u^2+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9, 4], [v = -2^(1/2), 
And(-1 < u,u < 0), And(u^2-3 < x,x < -1), x-u^2+3 < y, z = (y-x)^(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, 9, 5], [v = -2^(1/
2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), x-u^2+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-15/8, -15/
8], [2, 2], [3, 3]]]], [[2, 13, 5, 2, 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], [-1527887/2097152, -1527887/2097152], [-1, -1]]]], [[2, 13,
5, 2, 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], [-1527887/2097152, -\
1527887/2097152], [0, 0]]]], [[2, 13, 5, 2, 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], [-1527887/2097152, -1527887/2097152], [1, 1]]]], [[2, 15, 1,
8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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 < -(y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [1, 1], [11, 11], [-5, -5]]]], [[3, 1, 8, 9, 2], [And(-2^(
1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = 1, u^2-v^2+2 < y, z = -(y-1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [11,
11], [-3315889/1048576, -207243/65536]]]], [[3, 1, 8, 9, 3], [And(-2^(1/2) < v
,v < -1), u < -(v^2+2)^(1/2), x = 1, u^2-v^2+2 < y, 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, 9, 4], [And(-2^(1/2) < v,v < -1), u <
-(v^2+2)^(1/2), x = 1, u^2-v^2+2 < y, z = (y-1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [11, 11], [207243/65536,
3315889/1048576]]]], [[3, 1, 8, 9, 5], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)
^(1/2), x = 1, u^2-v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [1, 1], [11, 11], [5, 5]]]], [[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 < -2*u^2+2*v^2, z = z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1299559/524288, -\
2599117/1048576], [-4, -4], [0, 0]]]], [[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 < x, z = z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-225185/1048576, -225185/1048576], [-2, -2], [0, 0]]]], [[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, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [-4, -4], [1, 1], [-4, -4]]]], [[3, 9, 1,
9, 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, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [-4, -4], [1, 1], [-146543/65536, -2344687/1048576]]
]], [[3, 9, 1, 9, 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, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-4, -4], [1, 1]
, [0, 0]]]], [[3, 9, 1, 9, 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, 0 < y, z = (y-x)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [0, 0], [-4, -4], [1, 1], [2344687/
1048576, 146543/65536]]]], [[3, 9, 1, 9, 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, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-4, -4], [1, 1]
, [4, 4]]]], [[3, 17, 11, 9, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u,
u^2-v^2-1 < x, u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [8, 8], [18, 18], [-5, -5]]]], [[3, 17, 11
, 9, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, u^2-v^2+
x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [8, 8], [18, 18], [-3315889/1048576, -207243/65536]]]], [[3,
17, 11, 9, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, u^
2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [8, 8], [18, 18], [0, 0]]]], [[3,
17, 11, 9, 4], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, u^
2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [8, 8], [18, 18], [207243/65536, 3315889/1048576]]]], [[3, 
17, 11, 9, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, u^
2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [8, 8], [18, 18], [5, 5]]]], [[4, 2, 3, 1, 1], [v = -1, u =
-3^(1/2), And(-3 < x,x < -1), y < x-1, z = z], [regular_chain, [[-1, -1], [-\
1816187/1048576, -3632373/2097152], [-2, -2], [-4, -4], [0, 0]]]], [[4, 6, 5,
2, 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, 7, 11, 7, 1], [v = -1, And(
-1 < u,u < 0), 1 < x, And(u^2+x < y,y < x-u^2+2), z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2], [3, 3], [-2, -2]]]], [[4, 7, 
11, 7, 2], [v = -1, And(-1 < u,u < 0), 1 < x, And(u^2+x < y,y < x-u^2+2), z =
-(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2], [3, 3], [-1, -\
1]]]], [[4, 7, 11, 7, 3], [v = -1, And(-1 < u,u < 0), 1 < x, And(u^2+x < y,y <
x-u^2+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [
-1/2, -1/2], [2, 2], [3, 3], [0, 0]]]], [[4, 7, 11, 7, 4], [v = -1, And(-1 < u
,u < 0), 1 < x, And(u^2+x < y,y < x-u^2+2), z = (y-x)^(1/2)], [regular_chain,
[[-1, -1], [-1/2, -1/2], [2, 2], [3, 3], [1, 1]]]], [[4, 7, 11, 7, 5], [v = -1
, And(-1 < u,u < 0), 1 < x, And(u^2+x < y,y < x-u^2+2), (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2], [3, 3], [2, 2]]]], [[4, 14, 4,
6, 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,
6, 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,
6, 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, 6, 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, 6, 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, 7, 1], [v = -1, 3^(1/2) < u, x = 1, And(1 < y,y < u^2+1), z < -(y-1)^(1/2
)], [regular_chain, [[-1, -1], [3, 3], [1, 1], [11/2, 11/2], [-4, -4]]]], [[4,
15, 8, 7, 2], [v = -1, 3^(1/2) < u, x = 1, And(1 < y,y < u^2+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, 7, 3], [v = -1, 3^(1/2) < u, x = 1,
And(1 < y,y < u^2+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, 7, 4], [v = -1
, 3^(1/2) < u, x = 1, And(1 < y,y < u^2+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, 7, 5], [v = -1, 3^(1/2) < u, x = 1, And(1 < y,y < u^2+1), (y-1)^(1
/2) < z], [regular_chain, [[-1, -1], [3, 3], [1, 1], [11/2, 11/2], [4, 4]]]],
[[5, 4, 7, 3, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(0 < x,x < 1), 
And(0 < y,y < x), z = z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -\
1172343/1048576], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[5, 5, 11, 8, 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], [3569885/1048576, 1784943/524288], [-3, -3]]]], [[5, 5, 11,
8, 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], [3569885/1048576, 1784943/524288], [-19417/16384, -\
1242687/1048576]]]], [[5, 5, 11, 8, 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], [3569885/1048576, 1784943/524288], [0, 0]]]], [[5, 5, 11, 8, 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], [3569885/1048576, 1784943/524288], [1242687/1048576, 19417/
16384]]]], [[5, 5, 11, 8, 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], [3569885/1048576, 1784943/
524288], [3, 3]]]], [[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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(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(x < y,y < x-u^2+v^2
+1), z = -(y-x)^(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(x < y,y < x-u^2+v^2+1), And(-(y-x)
^(1/2) < z,z < (y-x)^(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(x < y,y < x-u^2+v^2+1), z = (y-x)^(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(x < y,y < x-u^2+v^2+1), (y-x)^(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 = -1, z < 0], [regular_chain, [[-1/2, -1/2], [343151
/262144, 343151/262144], [-1, -1], [-1, -1], [-1, -1]]]], [[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 = -1, z
= 0], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1, -1],
[-1, -1], [0, 0]]]], [[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 = -1, 0 < z], [regular_chain, [[-1/2, -1/2],
[343151/262144, 343151/262144], [-1, -1], [-1, -1], [1, 1]]]], [[6, 2, 1, 4, 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,
4, 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, 4
, 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, 5, 5,
1], [v = 0, And(-2^(1/2) < u,u < -1), And(-1 < x,x < 0), And(x < y,y < 0), z <
-(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = x, z < 0], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [1527887/2097152,
1527887/2097152], [763943/1048576, 95493/131072], [-1, -1]]]], [[6, 9, 9, 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], [1527887/2097152,
1527887/2097152], [763943/1048576, 95493/131072], [0, 0]]]], [[6, 9, 9, 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], [1527887/2097152,
1527887/2097152], [763943/1048576, 95493/131072], [1, 1]]]], [[6, 11, 2, 5, 1]
, [v = 0, 2^(1/2) < u, x = -u^2-1, And(-u^2-1 < y,y < 0), z < -(u^2+y+1)^(1/2)
], [regular_chain, [[0, 0], [3, 3], [-10, -10], [-5, -5], [-4, -4]]]], [[6, 11
, 2, 5, 2], [v = 0, 2^(1/2) < u, x = -u^2-1, And(-u^2-1 < y,y < 0), z = -(u^2+
y+1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-10, -10], [-5, -5], [-146543/
65536, -2344687/1048576]]]], [[6, 11, 2, 5, 3], [v = 0, 2^(1/2) < u, x = -u^2-\
1, And(-u^2-1 < y,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], [-5, -5], [0, 0]]]], [[6, 11, 2, 5
, 4], [v = 0, 2^(1/2) < u, x = -u^2-1, And(-u^2-1 < y,y < 0), z = (u^2+y+1)^(1
/2)], [regular_chain, [[0, 0], [3, 3], [-10, -10], [-5, -5], [2344687/1048576,
146543/65536]]]], [[6, 11, 2, 5, 5], [v = 0, 2^(1/2) < u, x = -u^2-1, And(-u^2
-1 < y,y < 0), (u^2+y+1)^(1/2) < z], [regular_chain, [[0, 0], [3, 3], [-10, -\
10], [-5, -5], [4, 4]]]], [[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(1 < y,y < u^2-v^2+2), 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, 7, 2], [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 = -(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, 7, 3], [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), 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, 7, 4], [
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 = (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, 7, 5], [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), (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, 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 = 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, 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
= 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, 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 = 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, 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 = 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, 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 = 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, 5,
9, 1], [v = 1, u < -3^(1/2), And(-1 < x,x < 0), u^2+x < y, z < -(y-x)^(1/2)],
[regular_chain, [[1, 1], [-3, -3], [-1/2, -1/2], [10, 10], [-5, -5]]]], [[8, 1
, 5, 9, 2], [v = 1, u < -3^(1/2), And(-1 < x,x < 0), u^2+x < y, z = -(y-x)^(1/
2)], [regular_chain, [[1, 1], [-3, -3], [-1/2, -1/2], [10, 10], [-3397775/
1048576, -1698887/524288]]]], [[8, 1, 5, 9, 3], [v = 1, u < -3^(1/2), And(-1 <
x,x < 0), u^2+x < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [
[1, 1], [-3, -3], [-1/2, -1/2], [10, 10], [0, 0]]]], [[8, 1, 5, 9, 4], [v = 1,
u < -3^(1/2), And(-1 < x,x < 0), u^2+x < y, z = (y-x)^(1/2)], [regular_chain,
[[1, 1], [-3, -3], [-1/2, -1/2], [10, 10], [1698887/524288, 3397775/1048576]]]
], [[8, 1, 5, 9, 5], [v = 1, u < -3^(1/2), And(-1 < x,x < 0), u^2+x < y, (y-x)
^(1/2) < z], [regular_chain, [[1, 1], [-3, -3], [-1/2, -1/2], [10, 10], [5, 5]
]]], [[8, 2, 8, 5, 1], [v = 1, u = -3^(1/2), x = 1, And(1 < y,y < 4), z < -(y-\
1)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [1,
1], [5/2, 5/2], [-3, -3]]]], [[8, 2, 8, 5, 2], [v = 1, u = -3^(1/2), x = 1, 
And(1 < y,y < 4), 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, 5, 3], [v = 1, u = -3^(1/2), x = 1, And(1 < y,y < 4), 
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, 5, 4], [
v = 1, u = -3^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 5], [v = 1, u = -3^(1/2), x = 1, 
And(1 < y,y < 4), (y-1)^(1/2) < z], [regular_chain, [[1, 1], [-1816187/1048576
, -3632373/2097152], [1, 1], [5/2, 5/2], [3, 3]]]], [[8, 7, 4, 1, 1], [v = 1,
And(-1 < u,u < 0), x = -1, y < -1, z = z], [regular_chain, [[1, 1], [-1/2, -1/
2], [-1, -1], [-2, -2], [0, 0]]]], [[8, 8, 8, 2, 1], [v = 1, u = 0, x = 1, y =
0, z = z], [regular_chain, [[1, 1], [0, 0], [1, 1], [0, 0], [0, 0]]]], [[8, 14
, 9, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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 = x, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10006449/
2097152, -10006449/2097152], [-10006449/2097152, -10006449/2097152], [-1, -1]]
]], [[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 = x, z = 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [-10006449/2097152
, -10006449/2097152], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/
2097152], [-10006449/2097152, -10006449/2097152], [1, 1]]]], [[9, 5, 4, 2, 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, 2, 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, 2, 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, 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(x < y,y < u^2
-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [-11682171/4194304,
-11682171/4194304], [-2, -2]]]], [[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(x < y,y < u^2-v^2+x+1), z =
-(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-3, -3], [-11682171/4194304, -11682171/4194304],
[-242963/524288, -485925/1048576]]]], [[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(x < y,y < u^2-v^2+x+1),
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [-11682171/
4194304, -11682171/4194304], [0, 0]]]], [[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(x < y,y < u^2-v^2+x+1)
, z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-3, -3], [-11682171/4194304, -11682171/
4194304], [485925/1048576, 242963/524288]]]], [[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(x < y,y < u^2-v^2
+x+1), (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3949363/4194304, -3949363/4194304], [-3, -3], [-11682171/4194304, -11682171/
4194304], [2, 2]]]], [[9, 10, 1, 7, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(
1/2), x < -2, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [354469/524288, 708939/1048576], [-3, -3], [1, 1], [-3, -3]]
]], [[9, 10, 1, 7, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x < -2, 0 <
y, z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
354469/524288, 708939/1048576], [-3, -3], [1, 1], [-2, -2]]]], [[9, 10, 1, 7,
3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x < -2, 0 < y, And(-(y-x)^(1/2
) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576],
[354469/524288, 708939/1048576], [-3, -3], [1, 1], [0, 0]]]], [[9, 10, 1, 7, 4
], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x < -2, 0 < y, z = (y-x)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-3, -3], [1, 1], [2, 2]]]], [[9, 10, 1, 7, 5], [And(1 < v,v < 2^(1/
2)), u = (v^2-1)^(1/2), x < -2, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-3, -3],
[1, 1], [3, 3]]]], [[9, 11, 8, 3, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/
2) < u,u < v), x = 0, And(0 < y,y < u^2-v^2+1), 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, 3, 2], [And(1 < v,v
< 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 0, And(0 < y,y < u^2-v^2+1), 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, 3, 3], [And(1 < v,v < 2^(1/2)), And((
v^2-1)^(1/2) < u,u < v), x = 0, And(0 < 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], [450371/2097152, 450371/2097152], [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(0 < y,y < u^2-v^2+1), 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, 3, 5], [And(1
< v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 0, And(0 < y,y < u^2-v^2+1
), y^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [0, 0], [450371/2097152, 450371/2097152], [2, 2]]]],
[[9, 16, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [0, 0]
, [-13721443/2097152, -6860721/1048576], [0, 0]]]], [[10, 6, 2, 1, 1], [v = 2^
(1/2), u = -v, x = -1, y < -1, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [-1, -1], [-2, -2], [0,
0]]]], [[10, 7, 10, 2, 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, 9, 1], [v = 2^(1/2)
, And(0 < u,u < 1), x = 1, -u^2+4 < y, z < -(y-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [1, 1], [5, 5], [-3, -3]]]], [[10
, 11, 10, 9, 2], [v = 2^(1/2), And(0 < u,u < 1), x = 1, -u^2+4 < y, z = -(y-1)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [1, 1]
, [5, 5], [-2, -2]]]], [[10, 11, 10, 9, 3], [v = 2^(1/2), And(0 < u,u < 1), x
= 1, -u^2+4 < y, 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, 9, 4], [v = 2^(1/2), And(0 < u,u < 1), x = 1, -u^2+4 < y, z = (y-1)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [1, 1], [
5, 5], [2, 2]]]], [[10, 11, 10, 9, 5], [v = 2^(1/2), And(0 < u,u < 1), x = 1,
-u^2+4 < y, (y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576
], [1/2, 1/2], [1, 1], [5, 5], [3, 3]]]], [[10, 13, 6, 3, 1], [v = 2^(1/2), 
And(1 < u,u < v), x = -u^2+1, And(-u^2+1 < y,y < 0), 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, 3, 2], [v = 2^(1/2), And(1 < u,u < v), x = -u^2+1
, And(-u^2+1 < y,y < 0), 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, 3, 3], [v = 2^(1/2), And(1 < u,u < v), x = -u^2+1, 
And(-u^2+1 < 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], [-239655/1048576, -239655/1048576
], [0, 0]]]], [[10, 13, 6, 3, 4], [v = 2^(1/2), And(1 < u,u < v), x = -u^2+1,
And(-u^2+1 < y,y < 0), 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, 3, 5], [v = 2^(1/2), And(1 < u,u < v), x = -u^2+1, And
(-u^2+1 < y,y < 0), (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, 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 < x-u^2+v^2+1, z = z], [regular_chain, [[3, 3], [-3396811/1048576
, -3396811/1048576], [-915943/524288, -915943/524288], [-4, -4], [0, 0]]]], [[
11, 4, 6, 5, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = 0, 2 < y, z < -y^(1/2)]
, [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [0, 0], [3, 3],
[-3, -3]]]], [[11, 4, 6, 5, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = 0, 2 < y
, z = -y^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [
0, 0], [3, 3], [-1816187/1048576, -3632373/2097152]]]], [[11, 4, 6, 5, 3], [2^
(1/2) < v, u = -(v^2+1)^(1/2), x = 0, 2 < y, 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, 5, 4], [2^(1/2) < v, u = -(v^2+1)^(1/2),
x = 0, 2 < y, z = y^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -\
207243/65536], [0, 0], [3, 3], [908093/524288, 1816187/1048576]]]], [[11, 4, 6
, 5, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = 0, 2 < y, y^(1/2) < z], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [0, 0], [3, 3], [3,
3]]]], [[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 < 0), z < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-657547/
262144, -5260375/2097152], [-5260375/4194304, -5260375/4194304], [-3, -3]]]],
[[11, 9, 2, 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^2-1 < y,y < 0), z = -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-657547/
262144, -5260375/2097152], [-5260375/4194304, -5260375/4194304], [-587149/
524288, -1174297/1048576]]]], [[11, 9, 2, 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^2-1 < y,y < 0), And(-(y-
u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [-657547/262144, -5260375/2097152], [-\
5260375/4194304, -5260375/4194304], [0, 0]]]], [[11, 9, 2, 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^2-1 < y
,y < 0), z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608
, -22960369/8388608], [-657547/262144, -5260375/2097152], [-5260375/4194304, -\
5260375/4194304], [1174297/1048576, 587149/524288]]]], [[11, 9, 2, 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
^2-1 < y,y < 0), (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-22960369
/8388608, -22960369/8388608], [-657547/262144, -5260375/2097152], [-5260375/
4194304, -5260375/4194304], [3, 3]]]], [[11, 10, 5, 1, 1], [2^(1/2) < v, u = -
(v^2-2)^(1/2), And(-1 < x,x < 0), y < x-1, z = z], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[11, 
16, 3, 6, 1], [2^(1/2) < v, u = v, And(-1 < x,x < 0), y = x+1, z < -1], [
regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [1/2, 1/2], [-2, -2]]]], [[11, 
16, 3, 6, 2], [2^(1/2) < v, u = v, And(-1 < x,x < 0), y = x+1, z = -1], [
regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[11, 
16, 3, 6, 3], [2^(1/2) < v, u = v, And(-1 < x,x < 0), y = x+1, And(-1 < z,z <
1)], [regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[
11, 16, 3, 6, 4], [2^(1/2) < v, u = v, And(-1 < x,x < 0), y = x+1, z = 1], [
regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[11, 16,
3, 6, 5], [2^(1/2) < v, u = v, And(-1 < x,x < 0), y = x+1, 1 < z], [
regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [1/2, 1/2], [2, 2]]]], [[11, 17,
11, 3, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(0 < y,y < x)
, z = z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [2, 2], [1,
1], [0, 0]]]], [[11, 21, 11, 8, 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, 8, 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, 8, 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, 8
, 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, 8, 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, 4, 7, 1], [v < -2^(1/2)
, u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 2), z < -(y+1)^(1/2)], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-1, -1], [1, 1
], [-3, -3]]]], [[1, 2, 4, 7, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -1, 
And(0 < y,y < 2), z = -(y+1)^(1/2)], [regular_chain, [[-3, -3], [-1738867/
524288, -3477733/1048576], [-1, -1], [1, 1], [-1482911/1048576, -741455/524288
]]]], [[1, 2, 4, 7, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -1, And(0 < y,y
< 2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [-1, -1], [1, 1], [0, 0]]]], [[1, 2, 4, 7,
4], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 2), z = (y+1)^(1/
2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-1, -1],
[1, 1], [741455/524288, 1482911/1048576]]]], [[1, 2, 4, 7, 5], [v < -2^(1/2),
u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 2), (y+1)^(1/2) < z], [regular_chain
, [[-3, -3], [-1738867/524288, -3477733/1048576], [-1, -1], [1, 1], [3, 3]]]],
[[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-u^2+v^2+1 < y,y < x), z = z], [regular_chain,
[[-3, -3], [-3396811/1048576, -3396811/1048576], [1566621/2097152, 1566621/
2097152], [1048577/2097152, 1048577/2097152], [0, 0]]]], [[1, 8, 3, 1, 1], [v
< -2^(1/2), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y < x, z = z], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2],
[-3, -3], [0, 0]]]], [[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 = 0, z = z], [regular_chain, [
[-3, -3], [-22960369/8388608, -22960369/8388608], [395403/524288, 395403/
524288], [0, 0], [0, 0]]]], [[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 < x, z = z], [regular_chain, [[-3,
-3], [6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [
-2, -2], [0, 0]]]], [[1, 17, 4, 2, 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, 2, 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, 2, 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, 7, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -1,
And(0 < y,y < u^2-v^2), z < -(y+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5],
[-1, -1], [8, 8], [-4, -4]]]], [[1, 21, 4, 7, 2], [v < -2^(1/2), (v^2+2)^(1/2)
< u, x = -1, And(0 < y,y < u^2-v^2), z = -(y+1)^(1/2)], [regular_chain, [[-3,
-3], [5, 5], [-1, -1], [8, 8], [-3, -3]]]], [[1, 21, 4, 7, 3], [v < -2^(1/2),
(v^2+2)^(1/2) < u, x = -1, And(0 < y,y < u^2-v^2), And(-(y+1)^(1/2) < z,z < (y
+1)^(1/2))], [regular_chain, [[-3, -3], [5, 5], [-1, -1], [8, 8], [0, 0]]]], [
[1, 21, 4, 7, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < u^2-
v^2), z = (y+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-1, -1], [8, 8], [
3, 3]]]], [[1, 21, 4, 7, 5], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -1, And(0 <
y,y < u^2-v^2), (y+1)^(1/2) < z], [regular_chain, [[-3, -3], [5, 5], [-1, -1],
[8, 8], [4, 4]]]], [[2, 1, 7, 3, 1], [v = -2^(1/2), u < -2, And(0 < x,x < 1),
And(x-u^2+3 < y,y < 0), z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [1/2, 1/2], [-11/4, -11/4], [0, 0]]]], [[2, 10, 5, 7, 1], [
v = -2^(1/2), u = 0, And(-1 < x,x < 0), And(0 < y,y < x+3), z < -(y-x)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1/2, -1/2], [5/
4, 5/4], [-3, -3]]]], [[2, 10, 5, 7, 2], [v = -2^(1/2), u = 0, And(-1 < x,x <
0), And(0 < y,y < x+3), z = -(y-x)^(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, 7, 3], [v = -2^(1/2), u = 0, And(-1 < x,x < 0), And(0
< y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-1/2, -1/2], [5/4, 5/4], [0, 0]]]],
[[2, 10, 5, 7, 4], [v = -2^(1/2), u = 0, And(-1 < x,x < 0), And(0 < y,y < x+3)
, z = (y-x)^(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, 7,
5], [v = -2^(1/2), u = 0, And(-1 < x,x < 0), And(0 < y,y < x+3), (y-x)^(1/2) <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1/2, -1/2],
[5/4, 5/4], [3, 3]]]], [[2, 11, 10, 5, 1], [v = -2^(1/2), And(0 < u,u < 1), x
= 1, And(u^2 < y,y < 1), 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 < -(y+1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-1, -1], [-1/2, -1/2], [-2, -2]]]], [[2, 16, 4, 3, 2], [v = -2^(1/2
), u = 3^(1/2), x = -1, And(-1 < y,y < 0), z = -(y+1)^(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, 3, 3], [v
= -2^(1/2), u = 3^(1/2), x = -1, And(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (
y+1)^(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 = (y+1)^(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
, 3, 5], [v = -2^(1/2), u = 3^(1/2), x = -1, And(-1 < y,y < 0), (y+1)^(1/2) <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 
1816187/1048576], [-1, -1], [-1/2, -1/2], [2, 2]]]], [[2, 17, 10, 2, 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, 7, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(
1/2), x = -1, 1 < y, z < -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-410915/262144, -3287319/2097152], [-1, -1], [2, 2], [-3, -\
3]]]], [[3, 4, 4, 7, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -1
, 1 < y, z = -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-410915/262144, -3287319/2097152], [-1, -1], [2, 2], [-1816187/
1048576, -3632373/2097152]]]], [[3, 4, 4, 7, 3], [And(-2^(1/2) < v,v < -1), u
= -(v^2+1)^(1/2), x = -1, 1 < y, 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], [-1/4194304, -1/4194304]]]], [[3, 4, 4, 7,
4], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -1, 1 < y, z = (y+1)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144,
-3287319/2097152], [-1, -1], [2, 2], [908093/524288, 1816187/1048576]]]], [[3,
4, 4, 7, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -1, 1 < y, (y+
1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915
/262144, -3287319/2097152], [-1, -1], [2, 2], [3, 3]]]], [[3, 5, 10, 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+2
, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [1, 1], [1606915/1048576, 
401729/262144], [-2, -2]]]], [[3, 5, 10, 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+2, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1, 1], [1606915/1048576, 401729/262144], [-1530309/2097152,
-382577/524288]]]], [[3, 5, 10, 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+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], [1606915/1048576, 401729/262144],
[0, 0]]]], [[3, 5, 10, 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+2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [1,
1], [1606915/1048576, 401729/262144], [382577/524288, 765155/1048576]]]], [[3,
5, 10, 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+2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [1, 1], [1606915/
1048576, 401729/262144], [2, 2]]]], [[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(0 < y,y < 1), z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [1, 1], [1/2, 1/2], [0, 0]]]], [[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 = 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, 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 = 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, 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 = 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, 9, 1], [And(-2^(1/
2) < v,v < -1), u = (v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y, z < -(y-x)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 
1949649/1048576], [1/2, 1/2], [5, 5], [-4, -4]]]], [[3, 16, 7, 9, 2], [And(-2^
(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y, z = -(y-x)^(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, 9, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(0 < x,x <
1), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [1/2, 1/2
], [5, 5], [0, 0]]]], [[3, 16, 7, 9, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+2
)^(1/2), And(0 < x,x < 1), x+3 < y, z = (y-x)^(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, 9, 5], [And(-2^(1
/2) < v,v < -1), u = (v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y, (y-x)^(1/2) < z
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 
1949649/1048576], [1/2, 1/2], [5, 5], [4, 4]]]], [[4, 3, 6, 7, 1], [v = -1, 
And(-3^(1/2) < u,u < -2^(1/2)), x = 0, u^2 < y, z < -y^(1/2)], [regular_chain,
[[-1, -1], [-6598195/4194304, -6598195/4194304], [0, 0], [4, 4], [-3, -3]]]],
[[4, 3, 6, 7, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0, u^2 < y, z =
-y^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [0
, 0], [4, 4], [-2, -2]]]], [[4, 3, 6, 7, 3], [v = -1, And(-3^(1/2) < u,u < -2^
(1/2)), x = 0, u^2 < y, 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, 7, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0, u^2 < y, z = y^(1/2)
], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [0, 0], [4
, 4], [2, 2]]]], [[4, 3, 6, 7, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x
= 0, u^2 < y, y^(1/2) < z], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [0, 0], [4, 4], [3, 3]]]], [[4, 5, 2, 3, 1], [v = -1, And(-2
^(1/2) < u,u < -1), x = -u^2, And(-u^2 < y,y < -2*u^2+2), z < -(u^2+y)^(1/2)],
[regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1527887/
1048576, -763943/524288], [-4973015/4194304, -4973015/4194304], [-2, -2]]]], [
[4, 5, 2, 3, 2], [v = -1, And(-2^(1/2) < u,u < -1), x = -u^2, And(-u^2 < y,y <
-2*u^2+2), z = -(u^2+y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576,
-1265743/1048576], [-1527887/1048576, -763943/524288], [-4973015/4194304, -\
4973015/4194304], [-1092629/2097152, -273157/524288]]]], [[4, 5, 2, 3, 3], [v
= -1, And(-2^(1/2) < u,u < -1), x = -u^2, And(-u^2 < 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], [-4973015/
4194304, -4973015/4194304], [0, 0]]]], [[4, 5, 2, 3, 4], [v = -1, And(-2^(1/2)
< u,u < -1), x = -u^2, And(-u^2 < y,y < -2*u^2+2), z = (u^2+y)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1527887/
1048576, -763943/524288], [-4973015/4194304, -4973015/4194304], [273157/524288
, 546315/1048576]]]], [[4, 5, 2, 3, 5], [v = -1, And(-2^(1/2) < u,u < -1), x =
-u^2, And(-u^2 < y,y < -2*u^2+2), (u^2+y)^(1/2) < z], [regular_chain, [[-1, -1
], [-1265743/1048576, -1265743/1048576], [-1527887/1048576, -763943/524288], [
-4973015/4194304, -4973015/4194304], [2, 2]]]], [[4, 11, 7, 3, 1], [v = -1, 
And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(1/
2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-569265/
2097152, -569265/2097152], [-35579/262144, -35579/262144], [-2, -2]]]], [[4, 
11, 7, 3, 2], [v = -1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), And(x < y
,y < 0), z = -(y-x)^(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, 3, 3], [v = -1, And
(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-569265/2097152, -569265/2097152], [-35579/262144, -35579/262144],
[0, 0]]]], [[4, 11, 7, 3, 4], [v = -1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x
< 0), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = -1
, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), And(x < y,y < 0), (y-x)^(1/2)
< z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-569265/
2097152, -569265/2097152], [-35579/262144, -35579/262144], [2, 2]]]], [[4, 13,
2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 = z], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [-1, -1], [-1534619/1048576, -767309/524288], [0, 0]]
]], [[5, 12, 5, 9, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-1 < x,x < 0
), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1/
2, -1/2], [4, 4], [-4, -4]]]], [[5, 12, 5, 9, 2], [And(-1 < v,v < 0), u = (v^2
+2)^(1/2), And(-1 < x,x < 0), x+3 < y, z = -(y-x)^(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, 9, 3], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-1
< x,x < 0), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [
[-1/2, -1/2], [3/2, 3/2], [-1/2, -1/2], [4, 4], [0, 0]]]], [[5, 12, 5, 9, 4],
[And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-1 < x,x < 0), x+3 < y, z = (y-x)^(
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, 9, 5], [And(-1 < v,v < 0), u
= (v^2+2)^(1/2), And(-1 < x,x < 0), x+3 < y, (y-x)^(1/2) < z], [regular_chain,
[[-1/2, -1/2], [3/2, 3/2], [-1/2, -1/2], [4, 4], [4, 4]]]], [[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 <
2*u^2-2*v^2), z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3]
, [31/4, 31/4], [101/8, 101/8], [-4, -4]]]], [[5, 13, 10, 5, 2], [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
= -(y-u^2+v^2+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, 5, 3], [
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), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [3, 3], [31/4, 31/4], [101/8, 101/8], [0, 0]]]],
[[5, 13, 10, 5, 4], [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 = (y-u^2+v^2+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, 5, 5], [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), (y-u^2+v^2+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, 3, 1], [v = 0, u = -1, 1 < x, And(0 < y,y < x), z = z], [
regular_chain, [[0, 0], [-1, -1], [2, 2], [1, 1], [0, 0]]]], [[6, 6, 3, 5, 1],
[v = 0, u = 0, And(-1 < x,x < 0), And(0 < y,y < x+1), z < -(y-x)^(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+1), z = -(y-x)^(1/
2)], [regular_chain, [[0, 0], [0, 0], [-1/2, -1/2], [1/4, 1/4], [-1816187/
2097152, -3632373/4194304]]]], [[6, 6, 3, 5, 3], [v = 0, u = 0, And(-1 < x,x <
0), And(0 < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[0, 0], [0, 0], [-1/2, -1/2], [1/4, 1/4], [-1/8388608, -1/8388608]]]], [[6,
6, 3, 5, 4], [v = 0, u = 0, And(-1 < x,x < 0), And(0 < y,y < x+1), z = (y-x)^(
1/2)], [regular_chain, [[0, 0], [0, 0], [-1/2, -1/2], [1/4, 1/4], [908093/
1048576, 454047/524288]]]], [[6, 6, 3, 5, 5], [v = 0, u = 0, And(-1 < x,x < 0)
, And(0 < y,y < x+1), (y-x)^(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 < -1), z = z], [regular_chain, [[1/2, 1/
2], [-3, -3], [-1, -1], [-39/8, -39/8], [0, 0]]]], [[7, 2, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6
, 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, 2
, 2, 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, 2, 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, 2, 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, 1, 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], [-1, -1],
[0, 0]]]], [[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(0 < y,y < x-u^2+v^2+1), z = z], [regular_chain, [[1/2
, 1/2], [343151/262144, 343151/262144], [2, 2], [1611109/2097152, 1611109/
2097152], [0, 0]]]], [[7, 13, 4, 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, 4, 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, 4, 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, 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(0 < y,y < x-u^2+2), z < -(y-x)^
(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(0
< y,y < x-u^2+2), z = -(y-x)^(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(0 < y,y < x-u^2+2), And
(-(y-x)^(1/2) < z,z < (y-x)^(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(0 < y,y < x-u^2+2), z = (y-x)^(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(0 < y,y < x-u^2+2), (y-x)^(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 = -2, z < 0], [regular_chain, [[1, 1], [741455/524288, 1482911/
1048576], [-2, -2], [-2, -2], [-1, -1]]]], [[8, 12, 2, 2, 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, 2, 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]]]], [[8, 13, 8, 1, 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], [-1, -1],
[0, 0]]]], [[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-1, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-1/2, -1/2], [-3, -3], [0, 0]
]]], [[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-u^2+v^2+1, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [775271/1048576, 775271/1048576], [273305/1048576, 136653/
524288], [0, 0]]]], [[9, 13, 4, 8, 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], [-3, -3]]]], [[9, 13, 4, 8, 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], [-\
1270261/1048576, -317565/262144]]]], [[9, 13, 4, 8, 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
], [0, 0]]]], [[9, 13, 4, 8, 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], [317565/262144, 1270261/1048576]]]], [[9,
13, 4, 8, 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], [3, 3]]]], [[9, 14, 8, 5, 1], [And(1 < v,v < 2^(1/2)), u = (v^
2+1)^(1/2), x = 1, And(1 < y,y < 3), z < -(y-1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [1, 1], [
2, 2], [-2, -2]]]], [[9, 14, 8, 5, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1
/2), x = 1, And(1 < y,y < 3), z = -(y-1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [1, 1], [2, 2], [
-1, -1]]]], [[9, 14, 8, 5, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x =
1, And(1 < y,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],
[2, 2], [0, 0]]]], [[9, 14, 8, 5, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/
2), x = 1, And(1 < y,y < 3), z = (y-1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [1, 1], [2, 2], [
1, 1]]]], [[9, 14, 8, 5, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = 1
, And(1 < y,y < 3), (y-1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1643659/1048576, 410915/262144], [1, 1], [2, 2], [2, 2]]]],
[[10, 1, 7, 9, 1], [v = 2^(1/2), u < -2, And(0 < x,x < 1), u^2+x-1 < y, z < -(
y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [1/2
, 1/2], [10, 10], [-5, -5]]]], [[10, 1, 7, 9, 2], [v = 2^(1/2), u < -2, And(0
< x,x < 1), u^2+x-1 < y, z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [1/2, 1/2], [10, 10], [-3231929/1048576, -403991/
131072]]]], [[10, 1, 7, 9, 3], [v = 2^(1/2), u < -2, And(0 < x,x < 1), u^2+x-1
< y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288,
1482911/1048576], [-3, -3], [1/2, 1/2], [10, 10], [0, 0]]]], [[10, 1, 7, 9, 4]
, [v = 2^(1/2), u < -2, And(0 < x,x < 1), u^2+x-1 < y, z = (y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [1/2, 1/2], [10, 
10], [403991/131072, 3231929/1048576]]]], [[10, 1, 7, 9, 5], [v = 2^(1/2), u <
-2, And(0 < x,x < 1), u^2+x-1 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [1/2, 1/2], [10, 10], [5, 5]]]], [[10, 3,
1, 1, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, y < x-u^2+3, z =
z], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [-4, -4], [-6, -6], [0, 0]]]], [[10, 9, 4, 9, 1], [v = 2^(1/
2), And(-1 < u,u < 0), x = -1, -u^2+2 < y, z < -(y+1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-1/2, -1/2], [-1, -1], [3, 3], [-3, -3]]]]
, [[10, 9, 4, 9, 2], [v = 2^(1/2), And(-1 < u,u < 0), x = -1, -u^2+2 < y, z =
-(y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2]
, [-1, -1], [3, 3], [-2, -2]]]], [[10, 9, 4, 9, 3], [v = 2^(1/2), And(-1 < u,u
< 0), x = -1, -u^2+2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-1, -1], [3,
3], [0, 0]]]], [[10, 9, 4, 9, 4], [v = 2^(1/2), And(-1 < u,u < 0), x = -1, -u^
2+2 < y, z = (y+1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1/2, -1/2], [-1, -1], [3, 3], [2, 2]]]], [[10, 9, 4, 9, 5], [v = 2^(1/2), 
And(-1 < u,u < 0), x = -1, -u^2+2 < y, (y+1)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1/2, -1/2], [-1, -1], [3, 3], [3, 3]]]], [[
10, 10, 7, 1, 1], [v = 2^(1/2), u = 0, And(0 < x,x < 1), y < x-1, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [1/2, 1/2], [-2, -2]
, [0, 0]]]], [[10, 15, 2, 6, 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, 6, 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,
6, 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, 6, 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, 6, 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, 16, 5,
6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 19, 7, 9, 1], [v = 2^(1/
2), 2 < u, And(0 < x,x < 1), u^2+x-1 < y, z < -(y-x)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [3, 3], [1/2, 1/2], [10, 10], [-5, -5]]]], [
[10, 19, 7, 9, 2], [v = 2^(1/2), 2 < u, And(0 < x,x < 1), u^2+x-1 < y, z = -(y
-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [1/2, 1
/2], [10, 10], [-3231929/1048576, -403991/131072]]]], [[10, 19, 7, 9, 3], [v =
2^(1/2), 2 < u, And(0 < x,x < 1), u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^
(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [1/2, 1/2]
, [10, 10], [0, 0]]]], [[10, 19, 7, 9, 4], [v = 2^(1/2), 2 < u, And(0 < x,x <
1), u^2+x-1 < y, z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [1/2, 1/2], [10, 10], [403991/131072, 3231929/1048576]]]], [
[10, 19, 7, 9, 5], [v = 2^(1/2), 2 < u, And(0 < x,x < 1), u^2+x-1 < y, (y-x)^(
1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [1/2, 1/
2], [10, 10], [5, 5]]]], [[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 < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-5, -5], [8, 8], [25, 25], [-6, -6]]]], [[11, 1, 9, 8
, 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, 8, 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, 8, 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, 8, 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, 3, 1], [2^(1/2) < v, And(-
(v^2+1)^(1/2) < u,u < -v), 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[
3, 3], [-403851/131072, -403851/131072], [2, 2], [1, 1], [0, 0]]]], [[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-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [3, 3], [-3, -\
3]]]], [[11, 7, 7, 9, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u
^2+v^2-1 < x,x < 0), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[3,
3], [-6111549/2097152, -6111549/2097152], [-516571/2097152, -516571/2097152],
[3, 3], [-1889277/1048576, -7557107/4194304]]]], [[11, 7, 7, 9, 3], [2^(1/2) <
v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), x-u^2+v^2+1 < y,
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [3, 3], [-3/
8388608, -3/8388608]]]], [[11, 7, 7, 9, 4], [2^(1/2) < v, And(-v < u,u < -(v^2
-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-516571/2097152
, -516571/2097152], [3, 3], [472319/262144, 1889277/1048576]]]], [[11, 7, 7, 9
, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0),
x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152,
-6111549/2097152], [-516571/2097152, -516571/2097152], [3, 3], [3, 3]]]], [[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 = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [0, 0], [-2, -2], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[3, 3],
[6111549/2097152, 6111549/2097152], [-3, -3], [-3, -3], [-1, -1]]]], [[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 = x, z
= 0], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3, -3], [
-3, -3], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[3, 3], [6111549/2097152,
6111549/2097152], [-3, -3], [-3, -3], [1, 1]]]], [[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 < -(y-x)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [-1/2, -1/2], [3, 3], [-3, -3]]]], [[11, 19, 5, 9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576]
, [-1/2, -1/2], [3, 3], [-7846825/4194304, -980853/524288]]]], [[11, 19, 5, 9,
3], [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, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3,
3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [3, 3], [0, 0]]]], [[11,
19, 5, 9, 4], [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 = (y-x)^(1/2)], [regular_chain, [[3, 3], [3396811
/1048576, 3396811/1048576], [-1/2, -1/2], [3, 3], [980853/524288, 1961707/
1048576]]]], [[11, 19, 5, 9, 5], [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, (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [3,
3], [3, 3]]]], [[11, 20, 8, 1, 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],
[-1, -1], [0, 0]]]], [[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), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-2614535/2097152,
-2614535/2097152], [2, 2], [-3, -3]]]], [[1, 5, 3, 9, 2], [v < -2^(1/2), And(-
(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, z = -(y
-x)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-\
2614535/2097152, -2614535/2097152], [2, 2], [-3778779/2097152, -7557557/
4194304]]]], [[1, 5, 3, 9, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), 
And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1
/2))], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-2614535/
2097152, -2614535/2097152], [2, 2], [-1/8388608, -1/8388608]]]], [[1, 5, 3, 9,
4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1),
u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072,
-403851/131072], [-2614535/2097152, -2614535/2097152], [2, 2], [1889389/
1048576, 944695/524288]]]], [[1, 5, 3, 9, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2
) < u,u < v), And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-2614535/2097152,
-2614535/2097152], [2, 2], [3, 3]]]], [[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 < x, z = z], [regular_chain, [[-3, -3]
, [-6111549/2097152, -6111549/2097152], [-3, -3], [-4, -4], [0, 0]]]], [[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-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
0, 0], [-11, -11], [-1, -1], [-5, -5]]]], [[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-u^2+v^2+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, 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-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]
, [-11, -11], [-1, -1], [0, 0]]]], [[1, 11, 1, 6, 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 = x-u^2+v^2+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, 6, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2)
< z], [regular_chain, [[-3, -3], [0, 0], [-11, -11], [-1, -1], [5, 5]]]], [[1,
12, 4, 2, 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, 7, 2, 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, 2, 1], [v < -2^(1/2), u = (v^2+2)^(
1/2), x < -3, y = x-1, z = z], [regular_chain, [[-3, -3], [3477733/1048576, 
1738867/524288], [-4, -4], [-5, -5], [0, 0]]]], [[2, 2, 8, 7, 1], [v = -2^(1/2
), u = -2, x = 1, 4 < y, z < -(y-1)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [-2, -2], [1, 1], [5, 5], [-3, -3]]]], [[2, 2, 8, 7, 2], [v
= -2^(1/2), u = -2, x = 1, 4 < y, z = -(y-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-2, -2], [1, 1], [5, 5], [-2, -2]]]], [[2,
2, 8, 7, 3], [v = -2^(1/2), u = -2, x = 1, 4 < y, 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, 7, 4], [v = -2^(1/2), u = -2, x = 1, 4 < y,
z = (y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2
], [1, 1], [5, 5], [2, 2]]]], [[2, 2, 8, 7, 5], [v = -2^(1/2), u = -2, x = 1,
4 < y, (y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[-2, -2], [1, 1], [5, 5], [3, 3]]]], [[2, 4, 2, 5, 1], [v = -2^(1/2), u = -3^(
1/2), x = -2, 0 < y, z < -(y+2)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1816187/1048576, -3632373/2097152], [-2, -2], [1, 1], [-3, -\
3]]]], [[2, 4, 2, 5, 2], [v = -2^(1/2), u = -3^(1/2), x = -2, 0 < y, z = -(y+2
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/
1048576, -3632373/2097152], [-2, -2], [1, 1], [-1816187/1048576, -3632373/
2097152]]]], [[2, 4, 2, 5, 3], [v = -2^(1/2), u = -3^(1/2), x = -2, 0 < y, And
(-(y+2)^(1/2) < z,z < (y+2)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1816187/1048576, -3632373/2097152], [-2, -2], [1, 1], [-1/
4194304, -1/4194304]]]], [[2, 4, 2, 5, 4], [v = -2^(1/2), u = -3^(1/2), x = -2
, 0 < y, z = (y+2)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1816187/1048576, -3632373/2097152], [-2, -2], [1, 1], [908093/524288, 
1816187/1048576]]]], [[2, 4, 2, 5, 5], [v = -2^(1/2), u = -3^(1/2), x = -2, 0
< y, (y+2)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1816187/1048576, -3632373/2097152], [-2, -2], [1, 1], [3, 3]]]], [[2, 7, 8, 7,
1], [v = -2^(1/2), And(v < u,u < -1), x = 0, -u^2+3 < y, z < -y^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [0, 0], [3, 3], [-3, -3]]]], [[2, 7, 8, 7, 2], [v = -2^(1/2)
, And(v < u,u < -1), x = 0, -u^2+3 < y, 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, 7, 3], [v = -2^(
1/2), And(v < u,u < -1), x = 0, -u^2+3 < y, 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, 7, 4
], [v = -2^(1/2), And(v < u,u < -1), x = 0, -u^2+3 < y, 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, 7, 5], [v = -2^(1/2), And(v < u,u < -1), x = 0, -u^2+3 < y, y^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [0, 0], [3, 3], [3, 3]]]], [[2, 9, 4, 3, 1], [v = -2^(1/2),
And(-1 < u,u < 0), x = -1, And(u^2-2 < y,y < -1), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [-1, -1], [-11/8, -11/8], [0,
0]]]], [[2, 13, 4, 8, 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], [569265/1048576, 284633/524288],
[-3, -3]]]], [[2, 13, 4, 8, 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], [569265/1048576, 284633
/524288], [-1302471/1048576, -651235/524288]]]], [[2, 13, 4, 8, 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], [569265/1048576, 284633/524288], [0, 0]]]
], [[2, 13, 4, 8, 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], [569265/1048576, 284633/524288],
[651235/524288, 1302471/1048576]]]], [[2, 13, 4, 8, 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], [
569265/1048576, 284633/524288], [3, 3]]]], [[2, 15, 1, 9, 1], [v = -2^(1/2), 
And(-v < u,u < 3^(1/2)), x < -u^2+1, 0 < y, z < -(y-x)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-3,
-3], [1, 1], [-3, -3]]]], [[2, 15, 1, 9, 2], [v = -2^(1/2), And(-v < u,u < 3^(
1/2)), x < -u^2+1, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-3, -3], [1, 1]
, [-2, -2]]]], [[2, 15, 1, 9, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x <
-u^2+1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-3, -3]
, [1, 1], [0, 0]]]], [[2, 15, 1, 9, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2))
, x < -u^2+1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [-3, -3], [1, 1], [2, 2]]]
], [[2, 15, 1, 9, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, 0 <
y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-3, -3], [1, 1], [3, 3]]]], [[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 < -
(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3
, -3], [1, 1], [10006449/1048576, 5003225/524288], [-4, -4]]]], [[3, 1, 8, 8,
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], [10006449/1048576, 5003225/524288], [-1532401/524288, -24518415
/8388608]]]], [[3, 1, 8, 8, 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], [
10006449/1048576, 5003225/524288], [-7/16777216, -7/16777216]]]], [[3, 1, 8, 8
, 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], [10006449/1048576, 5003225/524288], [3064801/1048576, 1532401/
524288]]]], [[3, 1, 8, 8, 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], [10006449/1048576, 5003225/524288], [4,
4]]]], [[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], [-1299559/524288, -2599117/1048576], [-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], [-1299559/524288, -2599117/1048576], [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], [-1299559/524288, -2599117/1048576], [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 < -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], [598205/1048576, 598205/
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 < -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], [598205
/1048576, 598205/1048576], [-8796092304775/8796093022208, -4398046152387/
4398046511104]]]], [[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 < -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], [598205/1048576, 598205/1048576], [-3835587/8796093022208, -\
3835587/8796093022208]]]], [[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 < -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], [598205
/1048576, 598205/1048576], [1048575/1048576, 1]]]], [[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
< -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], [598205/1048576, 598205/1048576], [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 < 2*u^2-2*v^2, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [-2576463/1048576, -1288231/524288], [-4, -4], [0, 0]]]], [[
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 = x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3],
[8, 8], [8, 8], [-1, -1]]]], [[3, 17, 11, 6, 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, 6,
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, 3, 2, 1], [v = -1, u = -3^(1/2), And(-3 < x,x < -1), y =
x-1, z = z], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152],
[-2, -2], [-3, -3], [0, 0]]]], [[4, 6, 5, 1, 1], [v = -1, u = -1, And(0 < x,x
< 1), y < 0, z = z], [regular_chain, [[-1, -1], [-1, -1], [1/2, 1/2], [-1, -1]
, [0, 0]]]], [[4, 8, 1, 1, 1], [v = -1, u = 0, x < -2, y < x, z = z], [
regular_chain, [[-1, -1], [0, 0], [-3, -3], [-4, -4], [0, 0]]]], [[4, 14, 4, 3
, 1], [v = -1, u = 3^(1/2), x = -1, And(-2 < y,y < -1), z = z], [regular_chain
, [[-1, -1], [908093/524288, 1816187/1048576], [-1, -1], [-3/2, -3/2], [0, 0]]
]], [[4, 15, 8, 8, 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, 8
, 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, 8, 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, 8, 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, 8, 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, 7, 2, 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, 2, 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, 2, 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, 2, 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, 2, 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]]]], [[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(-1 < y,y < 0), z < -(y
+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y
< 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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(x-1 < y,y < x), z = z], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-4, -4], [-9/2, -\
9/2], [0, 0]]]], [[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 < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1265743
/1048576, -1265743/1048576], [-1/2, -1/2], [1026087/524288, 2052175/1048576],
[-3, -3]]]], [[6, 3, 5, 8, 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], [1026087/524288, 2052175/1048576], [
-410915/262144, -3287319/2097152]]]], [[6, 3, 5, 8, 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], [1026087/524288, 2052175/1048576], [-1/4194304, -1/4194304]]]], [[6, 3,
5, 8, 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], [1026087/524288, 2052175/1048576], [1643659/1048576, 410915/
262144]]]], [[6, 3, 5, 8, 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], [1026087/524288, 2052175/1048576], [
3, 3]]]], [[6, 9, 9, 3, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(u^2-1 < x,x <
1), And(0 < y,y < x-u^2+1), z = z], [regular_chain, [[0, 0], [1265743/1048576,
1265743/1048576], [1527887/2097152, 1527887/2097152], [35579/262144, 35579/
262144], [0, 0]]]], [[6, 11, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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, 10, 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, 10, 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, 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), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [
-1696631/2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152], [2,
2], [-3, -3]]]], [[7, 5, 5, 9, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u
< -v), And(-1 < x,x < u^2-v^2-1), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x
,x < u^2-v^2-1), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9,
4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-\
1), u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 5], [And(0 < v,v < 1), And(-
(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), u^2-v^2+x+1 < y, (y-x)^(
1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152],
[-1672995/2097152, -1672995/2097152], [2, 2], [3, 3]]]], [[8, 1, 6, 3, 1], [v
= 1, u < -3^(1/2), x = 0, And(-u^2+2 < y,y < 0), z = z], [regular_chain, [[1,
1], [-3, -3], [0, 0], [-7/2, -7/2], [0, 0]]]], [[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 = -1, z < 0], [regular_chain, [[1, 1], [-1/2, -1/2], [-1
, -1], [-1, -1], [-1, -1]]]], [[8, 7, 4, 2, 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, 2, 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
, 7, 6, 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
, 6, 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, 6, 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, 6, 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, 6, 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, 15, 1, 2, 1], [v = 1, 3^(1/2) < u, x < -u^2, y = x-
u^2+2, z = z], [regular_chain, [[1, 1], [3, 3], [-10, -10], [-17, -17], [0, 0]
]]], [[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(x-u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/
2097152], [-33734339/4194304, -33734339/4194304], [0, 0]]]], [[9, 5, 4, 3, 1],
[And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, And(-1 < y,y
< -u^2+v^2), z < -(y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [-1538813/2097152, -\
1538813/2097152], [-2, -2]]]], [[9, 5, 4, 3, 2], [And(1 < v,v < 2^(1/2)), And(
-(v^2+1)^(1/2) < u,u < -v), x = -1, And(-1 < y,y < -u^2+v^2), z = -(y+1)^(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, 3, 3], [And(1 < v,v < 2^(1/2)), And(-
(v^2+1)^(1/2) < u,u < -v), x = -1, And(-1 < y,y < -u^2+v^2), And(-(y+1)^(1/2)
< z,z < (y+1)^(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, 3, 4], [And(1 < v,v < 2^(1/2
)), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, And(-1 < y,y < -u^2+v^2), z = (y+1
)^(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, 3, 5], [And(1 < v,v < 2^(1/2)),
And(-(v^2+1)^(1/2) < u,u < -v), x = -1, And(-1 < y,y < -u^2+v^2), (y+1)^(1/2)
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304,
-5818805/4194304], [-1, -1], [-1538813/2097152, -1538813/2097152], [2, 2]]]],
[[9, 6, 7, 7, 1], [And(1 < v,v < 2^(1/2)), u = -v, 1 < x, x+1 < y, z < -(y-x)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576
, -1265743/1048576], [2, 2], [4, 4], [-3, -3]]]], [[9, 6, 7, 7, 2], [And(1 < v
,v < 2^(1/2)), u = -v, 1 < x, x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2
], [4, 4], [-1482911/1048576, -741455/524288]]]], [[9, 6, 7, 7, 3], [And(1 < v
,v < 2^(1/2)), u = -v, 1 < x, x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [4, 4], [0, 0]]]], [[9, 6, 7, 7, 4], [And(1 < v,v <
2^(1/2)), u = -v, 1 < x, x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [4, 4
], [741455/524288, 1482911/1048576]]]], [[9, 6, 7, 7, 5], [And(1 < v,v < 2^(1/
2)), u = -v, 1 < x, x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [4, 4
], [3, 3]]]], [[9, 10, 2, 3, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x
= -2, And(-2 < y,y < 0), z < -(y+2)^(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(-2 < y,y < 0), z = -(y+2)^(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(-2 < y,y < 0), And(-(y+2)^(1/2) < z,z < (y+2)^(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(-2 < y,y < 0), z = (y+2)^(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(-2 < y,y < 0), (y+2)^(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 = 0, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [0, 0], [0, 0], [-1, -1]]]], [[9, 11, 8, 2, 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, 2, 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, 16, 1, 7, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2
), x < -3, And(x+3 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-4, -4], [-1/2, -\
1/2], [-3, -3]]]], [[9, 16, 1, 7, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/
2), x < -3, And(x+3 < y,y < 0), z = -(y-x)^(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, 7, 3], [And(1 < v,v <
2^(1/2)), u = (v^2+2)^(1/2), x < -3, And(x+3 < y,y < 0), And(-(y-x)^(1/2) < z,
z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [-4, -4], [-1/2, -1/2], [0, 0]]]], [[9, 16, 1,
7, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x < -3, And(x+3 < y,y < 0),
z = (y-x)^(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, 7, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x
< -3, And(x+3 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [121853/65536, 1949649/1048576], [-4, -4], [-1/2, -1/2], [3,
3]]]], [[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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [-1/2, -1/2], [8433585/1048576, 4216793/
524288], [-4, -4]]]], [[9, 17, 5, 8, 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], [
8433585/1048576, 4216793/524288], [-1532401/524288, -24518415/8388608]]]], [[9
, 17, 5, 8, 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], [
8433585/1048576, 4216793/524288], [-7/16777216, -7/16777216]]]], [[9, 17, 5, 8
, 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], [8433585/1048576, 4216793/524288], [3064801/
1048576, 1532401/524288]]]], [[9, 17, 5, 8, 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], [
8433585/1048576, 4216793/524288], [4, 4]]]], [[10, 6, 2, 4, 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, 4, 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, 4, 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, 4,
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, 4, 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, 1, 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], [-1, -1], [0, 0]]]], [
[10, 11, 11, 1, 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], [-1, -1]
, [0, 0]]]], [[10, 13, 5, 9, 1], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x
< -u^2+1), x-u^2+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -\
1527887/2097152], [2, 2], [-3, -3]]]], [[10, 13, 5, 9, 2], [v = 2^(1/2), And(1
< u,u < v), And(-1 < x,x < -u^2+1), x-u^2+3 < y, z = -(y-x)^(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, 9, 3], [v = 2^(1/2), And(1 < u,u < v), And(-\
1 < x,x < -u^2+1), x-u^2+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9, 4], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x
< -u^2+1), x-u^2+3 < y, z = (y-x)^(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, 9,
5], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+1), x-u^2+3 < y, (y-x)
^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [2, 2], [3, 3
]]]], [[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 = x-u^2+v^2+1, z = z], [regular_chain, [[3,
3], [-3396811/1048576, -3396811/1048576], [-915943/524288, -915943/524288], [-\
2349931/1048576, -1174965/524288], [0, 0]]]], [[11, 4, 6, 2, 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, 2, 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, 2, 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, 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 = z], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [-4, -4], [
0, 0]]]], [[11, 10, 4, 9, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -1, 2 < y,
z < -(y+1)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [-1, -1], [3, 3], [-3, -3]]]], [[11, 10, 4, 9, 2], [2^(1/2) < v, u =
-(v^2-2)^(1/2), x = -1, 2 < y, z = -(y+1)^(1/2)], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [-1, -1], [3, 3], [-2, -2]]]], [[11, 10, 4
, 9, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -1, 2 < y, And(-(y+1)^(1/2) < z
,z < (y+1)^(1/2))], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [-1, -1], [3, 3], [0, 0]]]], [[11, 10, 4, 9, 4], [2^(1/2) < v, u = -
(v^2-2)^(1/2), x = -1, 2 < y, z = (y+1)^(1/2)], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [-1, -1], [3, 3], [2, 2]]]], [[11, 10, 4,
9, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -1, 2 < y, (y+1)^(1/2) < z], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-1, -1], [3, 3]
, [3, 3]]]], [[11, 16, 3, 7, 1], [2^(1/2) < v, u = v, And(-1 < x,x < 0), x+1 <
y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [2, 2], [
-3, -3]]]], [[11, 16, 3, 7, 2], [2^(1/2) < v, u = v, And(-1 < x,x < 0), x+1 <
y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [2, 2], [
-3315889/2097152, -207243/131072]]]], [[11, 16, 3, 7, 3], [2^(1/2) < v, u = v,
And(-1 < x,x < 0), x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [2, 2], [0, 0]]]], [[11, 16, 3,
7, 4], [2^(1/2) < v, u = v, And(-1 < x,x < 0), x+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [2, 2], [207243/131072, 1657945/
1048576]]]], [[11, 16, 3, 7, 5], [2^(1/2) < v, u = v, And(-1 < x,x < 0), x+1 <
y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [2, 2], [3
, 3]]]], [[11, 17, 10, 9, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x =
1, u^2-v^2+2 < y, z < -(y-1)^(1/2)], [regular_chain, [[3, 3], [403851/131072,
403851/131072], [1, 1], [4, 4], [-3, -3]]]], [[11, 17, 10, 9, 2], [2^(1/2) < v
, And(v < u,u < (v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y, z = -(y-1)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [1, 1], [4, 4], [-\
1816187/1048576, -3632373/2097152]]]], [[11, 17, 10, 9, 3], [2^(1/2) < v, And(
v < u,u < (v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y, 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, 9, 4], [2^(1/2) < v, And(v < u,
u < (v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y, z = (y-1)^(1/2)], [regular_chain, [[
3, 3], [403851/131072, 403851/131072], [1, 1], [4, 4], [908093/524288, 1816187
/1048576]]]], [[11, 17, 10, 9, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)),
x = 1, u^2-v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [1, 1], [4, 4], [3, 3]]]], [[1, 2, 4, 6, 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,
6, 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, 6, 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, 6, 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, 6, 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, 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-u^2+v^2+1, z = z], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [1566621/2097152, 1566621/2097152], [132633/524288
, 265267/1048576], [0, 0]]]], [[1, 8, 3, 2, 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, 2, 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, 2, 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,
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(0 < y,y < u^2-v^2+x+1), z = z], [regular_chain, [[-3, -3],
[-22960369/8388608, -22960369/8388608], [395403/524288, 395403/524288], [
128885/1048576, 128885/1048576], [0, 0]]]], [[1, 15, 6, 7, 1], [v < -2^(1/2),
And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, -2*u^2+2*v^2 < y, 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, 7, 2], [v <
-2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, -2*u^2+2*v^2 < y, 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, 7, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), x = -u^2+v^2-1, -2*u^2+2*v^2 < y, 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, 7, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+
v^2-1, -2*u^2+2*v^2 < y, 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, 7, 5], [v < -2^(1/2), And((v^
2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, -2*u^2+2*v^2 < y, (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, 4, 1, 1], [v < -2^(1/2),
And(-v < u,u < (v^2+1)^(1/2)), x = -1, y < -1, z = z], [regular_chain, [[-3, -\
3], [403851/131072, 403851/131072], [-1, -1], [-2, -2], [0, 0]]]], [[1, 21, 4,
8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 7, 4, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 10, 4, 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, 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(0 < y,y < -u^2+4), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [1, 1], [135777/524288, 135777/524288], [0, 0]]]], [[3, 4, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5,
1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 1, And(1 < y
,y < -u^2+v^2+2), 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(1 < y,y < -u^2+v^2+2), 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(1 < 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], [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(1 < y,y < -u^2+v^2+2)
, 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(1 < y,y < -u^2+v^2+2), (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 < -(y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [354469/524288, 708939/1048576], [-1, -1], [1/2, 1/2], [-3,
-3]]]], [[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 = -(y+1)^(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, 5, 3], [And(-2^(1/2) < v,v <
-1), u = (v^2-1)^(1/2), x = -1, And(0 < 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], [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 = (y+
1)^(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, 5, 5], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -1,
And(0 < y,y < 1), (y+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [354469/524288, 708939/1048576], [-1, -1], [1/2, 1/2], [3, 3
]]]], [[3, 11, 10, 4, 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, 4, 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, 4, 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, 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(x
< y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0),
z = (y-x)^(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(x < y,y < 0), (y-x)^(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 < 0, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [121853/65536, 1949649/1048576], [1, 1], [-1, -1], [0, 0]]]]
, [[4, 3, 6, 6, 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],
[1297479/524288, 2594959/1048576], [-3, -3]]]], [[4, 3, 6, 6, 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], [1297479/524288, 2594959/
1048576], [-1649549/1048576, -3299097/2097152]]]], [[4, 3, 6, 6, 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], [
1297479/524288, 2594959/1048576], [-1/4194304, -1/4194304]]]], [[4, 3, 6, 6, 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], [
1297479/524288, 2594959/1048576], [412387/262144, 1649549/1048576]]]], [[4, 3,
6, 6, 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], [
1297479/524288, 2594959/1048576], [3, 3]]]], [[4, 5, 2, 2, 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], [-\
1527887/1048576, -763943/524288], [-1, -1]]]], [[4, 5, 2, 2, 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], [-\
1527887/1048576, -763943/524288], [0, 0]]]], [[4, 5, 2, 2, 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], [-\
1527887/1048576, -763943/524288], [1, 1]]]], [[4, 11, 7, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 7, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -u^2, 0 < y, 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, 7, 2], [v
= -1, And(2^(1/2) < u,u < 3^(1/2)), x = -u^2, 0 < y, 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, 7, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -u^2, 0 < y, 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, 7, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -u
^2, 0 < y, 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, 7, 5], [v = -1, And(2^(1/2) < u,u < 3^
(1/2)), x = -u^2, 0 < y, (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, 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 = z], [regular_chain, [[-1/2, -1/2], [-3,
-3], [31/4, 31/4], [31/8, 31/8], [0, 0]]]], [[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 = z],
[regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1, -1], [-3
, -3], [0, 0]]]], [[5, 12, 6, 1, 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], [-2, -\
2], [0, 0]]]], [[5, 13, 10, 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 < -(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, 6, 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, 6, 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, 6, 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, 6, 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, 4, 9, 2, 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, 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 = -1, z < 0], [regular_chain, [[1/2, 1/2], [-3,
-3], [-1, -1], [-1, -1], [-1, -1]]]], [[7, 1, 4, 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, 4, 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, 2, 6, 7, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1
/2), x = 0, 3 < y, z < -y^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [
0, 0], [4, 4], [-3, -3]]]], [[7, 2, 6, 7, 2], [And(0 < v,v < 1), u = -(v^2+2)^
(1/2), x = 0, 3 < y, z = -y^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2],
[0, 0], [4, 4], [-2, -2]]]], [[7, 2, 6, 7, 3], [And(0 < v,v < 1), u = -(v^2+2)
^(1/2), x = 0, 3 < y, 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, 7, 4], [And(0 < v,v <
1), u = -(v^2+2)^(1/2), x = 0, 3 < y, z = y^(1/2)], [regular_chain, [[1/2, 1/2
], [-3/2, -3/2], [0, 0], [4, 4], [2, 2]]]], [[7, 2, 6, 7, 5], [And(0 < v,v < 1
), u = -(v^2+2)^(1/2), x = 0, 3 < y, y^(1/2) < z], [regular_chain, [[1/2, 1/2]
, [-3/2, -3/2], [0, 0], [4, 4], [3, 3]]]], [[7, 7, 2, 1, 1], [And(0 < v,v < 1)
, And(-v < u,u < v), x = u^2-v^2-1, y < u^2-v^2-1, z = z], [regular_chain, [[1
/2, 1/2], [0, 0], [-5/4, -5/4], [-3, -3], [0, 0]]]], [[7, 8, 5, 7, 1], [And(0
< v,v < 1), u = v, And(0 < x,x < 1), x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [1/2, 1/2], [3, 3], [-3, -3]]]], [[7,
8, 5, 7, 2], [And(0 < v,v < 1), u = v, And(0 < x,x < 1), x+1 < y, z = -(y-x)^(
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, 7, 3], [And(0 < v,v < 1), u = v, And(0
< x,x < 1), x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [
[1/2, 1/2], [1/2, 1/2], [1/2, 1/2], [3, 3], [0, 0]]]], [[7, 8, 5, 7, 4], [And(
0 < v,v < 1), u = v, And(0 < x,x < 1), x+1 < y, z = (y-x)^(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, 7, 5], [And(0 < v,v < 1), u = v, And(0 < x,x <
1), x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [1/2,
1/2], [3, 3], [3, 3]]]], [[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 = 0, z = z], [regular_chain, [[1/2, 1/2],
[343151/262144, 343151/262144], [2, 2], [0, 0], [0, 0]]]], [[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 < -1), z = z]
, [regular_chain, [[1/2, 1/2], [3, 3], [-1, -1], [-39/8, -39/8], [0, 0]]]], [[
8, 4, 1, 5, 1], [v = 1, u = -2^(1/2), x < -2, And(x+2 < y,y < 0), z < -(y-x)^(
1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-3, -3],
[-1/2, -1/2], [-3, -3]]]], [[8, 4, 1, 5, 2], [v = 1, u = -2^(1/2), x < -2, And
(x+2 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576
, -741455/524288], [-3, -3], [-1/2, -1/2], [-3315889/2097152, -207243/131072]]
]], [[8, 4, 1, 5, 3], [v = 1, u = -2^(1/2), x < -2, And(x+2 < y,y < 0), And(-(
y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-1482911/1048576,
-741455/524288], [-3, -3], [-1/2, -1/2], [0, 0]]]], [[8, 4, 1, 5, 4], [v = 1,
u = -2^(1/2), x < -2, And(x+2 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[
1, 1], [-1482911/1048576, -741455/524288], [-3, -3], [-1/2, -1/2], [207243/
131072, 1657945/1048576]]]], [[8, 4, 1, 5, 5], [v = 1, u = -2^(1/2), x < -2, 
And(x+2 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [-3, -3], [-1/2, -1/2], [3, 3]]]], [[8, 5, 7, 6, 1],
[v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y = x-u^2+2, z < -(-u^
2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-\
569265/2097152, -569265/2097152], [35579/131072, 284633/1048576], [-2, -2]]]],
[[8, 5, 7, 6, 2], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y =
x-u^2+2, z = -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [-569265/2097152, -569265/2097152], [35579/131072, 284633/
1048576], [-772605/1048576, -1545209/2097152]]]], [[8, 5, 7, 6, 3], [v = 1, 
And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y = x-u^2+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], [35579/131072, 284633/
1048576], [-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 = x-u^2+2, z = (-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-569265/2097152
, -569265/2097152], [35579/131072, 284633/1048576], [193151/262144, 772605/
1048576]]]], [[8, 5, 7, 6, 5], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x
,x < 0), y = x-u^2+2, (-u^2+2)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-569265/2097152, -569265/2097152], [35579/131072,
284633/1048576], [2, 2]]]], [[8, 12, 2, 1, 1], [v = 1, u = 2^(1/2), x = -2, y
< -2, z = z], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-2,
-2], [-3, -3], [0, 0]]]], [[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 < y, z < -(y-x)^(1/2)], [regular_chain, [[1,
1], [3299097/2097152, 3299097/2097152], [497805/2097152, 497805/2097152], [4,
4], [-3, -3]]]], [[8, 13, 7, 9, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(
0 < x,x < u^2-2), u^2+x < y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [497805/2097152, 497805/2097152], [4, 4], [
-32543597/16777216, -8135899/4194304]]]], [[8, 13, 7, 9, 3], [v = 1, And(2^(1/
2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), u^2+x < y, And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [
497805/2097152, 497805/2097152], [4, 4], [-3/8388608, -3/8388608]]]], [[8, 13,
7, 9, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), u^2+x <
y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [497805/2097152, 497805/2097152], [4, 4], [1016987/524288, 2033975/
1048576]]]], [[8, 13, 7, 9, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(0 <
x,x < u^2-2), u^2+x < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [497805/2097152, 497805/2097152], [4, 4], [3, 3]]]]
, [[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-1, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[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-u^2+v^2+1 < y,y < x), 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(0 < y,y < u^2-v^2), z < -(y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-1, -1], [490235/2097152, 490235/2097152], [-3, -3]]]], [[9, 13, 4,
7, 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 = -(y+1)^(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, 7, 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(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1265743/1048576,
1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [490235/
2097152, 490235/2097152], [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(0 < y,y < u^2-v^2), z = (y+1)^(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, 7, 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), (y+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-1, -1], [490235/2097152, 490235/2097152], [3, 3]]]], [[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+4, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [1, 1], [-6, -6], [0, 0]]]], [[10, 3, 1, 2, 1], [v
= 2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, y = x-u^2+3, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-4, -4], [-1174943/262144, -4699771/1048576], [0, 0]]]], [[10, 9, 4
, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 7, 1], [v = 2^(1/2
), u = 0, x = 0, 3 < y, z < -y^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [0, 0], [4, 4], [-3, -3]]]], [[10, 10, 6, 7, 2], [v
= 2^(1/2), u = 0, x = 0, 3 < y, z = -y^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [0, 0], [0, 0], [4, 4], [-2, -2]]]], [[10, 10, 6, 7, 3], [
v = 2^(1/2), u = 0, x = 0, 3 < y, 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, 7, 4], [v = 2^(1/2), u = 0, x = 0, 3 < y, z = y^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [0, 0], [4, 4], [2,
2]]]], [[10, 10, 6, 7, 5], [v = 2^(1/2), u = 0, x = 0, 3 < y, y^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [0, 0], [4, 4], [3,
3]]]], [[10, 15, 2, 7, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -u^2+1, 0
< y, 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, 7, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -
u^2+1, 0 < y, 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, 7, 3],
[v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -u^2+1, 0 < y, 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, 7, 4], [v = 2^(1/2), And(v < u,u <
3^(1/2)), x = -u^2+1, 0 < y, 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, 7
, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -u^2+1, 0 < y, (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,
16, 5, 7, 1], [v = 2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), x+2 < y, z < -(y-x
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 
1816187/1048576], [-1/2, -1/2], [3, 3], [-3, -3]]]], [[10, 16, 5, 7, 2], [v =
2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), x+2 < y, z = -(y-x)^(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, 7, 3], [v = 2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), x+2 < y, And(-(y-x
)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [908093/524288, 1816187/1048576], [-1/2, -1/2], [3, 3], [0, 0]]]], [
[10, 16, 5, 7, 4], [v = 2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), x+2 < y, z =
(y-x)^(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, 7, 5], [v = 2^(1/2), u = 3^(1/2), And(-1 < x,x < 0),
x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[908093/524288, 1816187/1048576], [-1/2, -1/2], [3, 3], [3, 3]]]], [[10, 19, 8
, 1, 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], [-6, -6], [0, 0]]]], [[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 < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [8, 8], [26, 26
], [-6, -6]]]], [[11, 1, 9, 9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[3, 3],
[-5, -5], [8, 8], [26, 26], [-1112183/262144, -4448731/1048576]]]], [[11, 1, 9
, 9, 3], [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, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-5,
-5], [8, 8], [26, 26], [0, 0]]]], [[11, 1, 9, 9, 4], [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 = (y-x)^(1/2)], [
regular_chain, [[3, 3], [-5, -5], [8, 8], [26, 26], [4448731/1048576, 1112183/
262144]]]], [[11, 1, 9, 9, 5], [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, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-5, -\
5], [8, 8], [26, 26], [6, 6]]]], [[11, 5, 11, 2, 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, 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-u^2+v^
2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-516571/2097152, -516571/2097152], [661147/524288, 1322295/
1048576], [-3, -3]]]], [[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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)]
, [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-516571/
2097152, -516571/2097152], [661147/524288, 1322295/1048576], [-1287385/1048576
, -160923/131072]]]], [[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-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], [-516571/2097152, -516571/2097152], [661147/524288, 1322295/
1048576], [0, 0]]]], [[11, 7, 7, 8, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^
(1/2)), And(-u^2+v^2-1 < x,x < 0), y = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-516571/2097152
, -516571/2097152], [661147/524288, 1322295/1048576], [160923/131072, 1287385/
1048576]]]], [[11, 7, 7, 8, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
And(-u^2+v^2-1 < x,x < 0), y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-516571/2097152
, -516571/2097152], [661147/524288, 1322295/1048576], [3, 3]]]], [[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 = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [0,
0], [-1066073/2097152, -133259/262144], [0, 0]]]], [[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(x < y,y < u^2-v^2+x+1)
, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-3, -3], [-11549769/4194304, -11549769/4194304], [-2, -2]]]], [[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(x
< y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-3, -3], [-11549769/4194304, -11549769/4194304], [
-16263/32768, -520415/1048576]]]], [[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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/
2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-3, -3], [-11549769/4194304, -11549769/4194304], [0, 0]]]], [[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(x
< y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-3, -3], [-11549769/4194304, -11549769/4194304], [
520415/1048576, 16263/32768]]]], [[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(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z]
, [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3, -3], [-\
11549769/4194304, -11549769/4194304], [2, 2]]]], [[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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [-1/2, -1/2], [522727/262144, 2090909/1048576], [-3, -3]]]],
[[11, 19, 5, 8, 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], [522727/262144, 
2090909/1048576], [-1655969/1048576, -3311937/2097152]]]], [[11, 19, 5, 8, 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], [
522727/262144, 2090909/1048576], [-1/4194304, -1/4194304]]]], [[11, 19, 5, 8,
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], [522727/262144, 2090909/1048576], [
51749/32768, 1655969/1048576]]]], [[11, 19, 5, 8, 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], [522727/262144, 2090909/1048576], [3, 3]]]], [[11, 20, 7, 9, 1], [2
^(1/2) < v, u = (v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [1/2, 1/2], [5, 5],
[-4, -4]]]], [[11, 20, 7, 9, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), And(0 < x,x
< 1), x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 
1738867/524288], [1/2, 1/2], [5, 5], [-1112183/524288, -2224365/1048576]]]], [
[11, 20, 7, 9, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y,
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [3477733/
1048576, 1738867/524288], [1/2, 1/2], [5, 5], [0, 0]]]], [[11, 20, 7, 9, 4], [
2^(1/2) < v, u = (v^2+2)^(1/2), And(0 < x,x < 1), x+3 < y, z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [1/2, 1/2], [5, 5],
[2224365/1048576, 1112183/524288]]]], [[11, 20, 7, 9, 5], [2^(1/2) < v, u = (v
^2+2)^(1/2), And(0 < x,x < 1), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[3,
3], [3477733/1048576, 1738867/524288], [1/2, 1/2], [5, 5], [4, 4]]]], [[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 = 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], [258691/
1048576, 64673/262144], [-3, -3]]]], [[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 = 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], [258691/1048576, 64673/262144], [-1281417/
1048576, -160177/131072]]]], [[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 = u^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], [258691/1048576, 64673/
262144], [0, 0]]]], [[1, 5, 3, 8, 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], [258691/1048576, 64673/262144], [160177/131072, 1281417/
1048576]]]], [[1, 5, 3, 8, 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], [258691/1048576, 64673/262144], [3, 3]]]], [[1, 6, 7, 7, 1]
, [v < -2^(1/2), u = v, 1 < x, x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-\
3, -3], [-3, -3], [2, 2], [4, 4], [-3, -3]]]], [[1, 6, 7, 7, 2], [v < -2^(1/2)
, u = v, 1 < x, x+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-3, -3
], [2, 2], [4, 4], [-1482911/1048576, -741455/524288]]]], [[1, 6, 7, 7, 3], [v
< -2^(1/2), u = v, 1 < x, x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-3, -3], [-3, -3], [2, 2], [4, 4], [0, 0]]]], [[1, 6, 7, 7, 4
], [v < -2^(1/2), u = v, 1 < x, x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-\
3, -3], [-3, -3], [2, 2], [4, 4], [741455/524288, 1482911/1048576]]]], [[1, 6,
7, 7, 5], [v < -2^(1/2), u = v, 1 < x, x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [-3, -3], [2, 2], [4, 4], [3, 3]]]], [[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-u^2+v^2+1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [0,
0], [-11, -11], [-1/2, -1/2], [-5, -5]]]], [[1, 11, 1, 7, 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(x-u^2+v^2+1 < y,
y < 0), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-11, -11], [-1/
2, -1/2], [-3397775/1048576, -1698887/524288]]]], [[1, 11, 1, 7, 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(x-u^2+v^2+
1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3
], [0, 0], [-11, -11], [-1/2, -1/2], [0, 0]]]], [[1, 11, 1, 7, 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(x-u^2+v^2+1
< y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-11, -11], [
-1/2, -1/2], [1698887/524288, 3397775/1048576]]]], [[1, 11, 1, 7, 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(x-u^2+v^2
+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [0, 0], [-11, -11]
, [-1/2, -1/2], [5, 5]]]], [[1, 12, 4, 3, 1], [v < -2^(1/2), u = (v^2-2)^(1/2)
, x = -1, And(-2 < y,y < -1), z = z], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [-1, -1], [-3/2, -3/2], [0, 0]]]], [[1, 18, 7, 1, 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], [-1, -1], [0, 0]]]],
[[1, 20, 1, 1, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), x < -3, y < x-1, z = z],
[regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-4, -4], [-6, -\
6], [0, 0]]]], [[2, 2, 9, 1, 1], [v = -2^(1/2), u = -2, 1 < x, y < 0, z = z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [2, 2], [-1, -1
], [0, 0]]]], [[2, 4, 3, 1, 1], [v = -2^(1/2), u = -3^(1/2), And(-2 < x,x < -1
), y < x, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1816187/1048576, -3632373/2097152], [-3/2, -3/2], [-3, -3], [0, 0]]]], [[2, 7,
8, 6, 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], [1617841/1048576, 808921/524288], [-3, -3]]]], [[2,
7, 8, 6, 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], [1617841/1048576, 808921/524288], [-\
1302471/1048576, -651235/524288]]]], [[2, 7, 8, 6, 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], [1617841/1048576, 808921/524288], [0, 0]]]], [[2, 7,
8, 6, 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], [1617841/1048576, 808921/524288], [651235/524288, 
1302471/1048576]]]], [[2, 7, 8, 6, 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], [1617841/1048576, 
808921/524288], [3, 3]]]], [[2, 9, 4, 2, 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, 9, 1], [v = -2^
(1/2), And(1 < u,u < -v), x = -1, -u^2+2 < y, z < -(y+1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-1, -1], [2, 2], [-3, -3]]]], [[2, 13, 4, 9, 2], [v = -2^(1/2), And
(1 < u,u < -v), x = -1, -u^2+2 < y, z = -(y+1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-1, -1]
, [2, 2], [-1816187/1048576, -3632373/2097152]]]], [[2, 13, 4, 9, 3], [v = -2^
(1/2), And(1 < u,u < -v), x = -1, -u^2+2 < y, 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], [-1/4194304, -1/4194304]]]], [[2, 13, 4, 9
, 4], [v = -2^(1/2), And(1 < u,u < -v), x = -1, -u^2+2 < y, z = (y+1)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743
/1048576], [-1, -1], [2, 2], [908093/524288, 1816187/1048576]]]], [[2, 13, 4,
9, 5], [v = -2^(1/2), And(1 < u,u < -v), x = -1, -u^2+2 < y, (y+1)^(1/2) < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743
/1048576], [-1, -1], [2, 2], [3, 3]]]], [[2, 15, 2, 1, 1], [v = -2^(1/2), And(
-v < u,u < 3^(1/2)), x = -u^2+1, y < -u^2+1, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-773191
/524288, -1546381/1048576], [-3, -3], [0, 0]]]], [[3, 1, 8, 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+2), z < -(y-1
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [1,
1], [11055025/2097152, 11055025/2097152], [-4, -4]]]], [[3, 1, 8, 7, 2], [And(
-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = 1, And(1 < y,y < u^2-v^2+2), 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, 7, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x
= 1, And(1 < y,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], [
11055025/2097152, 11055025/2097152], [0, 0]]]], [[3, 1, 8, 7, 4], [And(-2^(1/2
) < v,v < -1), u < -(v^2+2)^(1/2), x = 1, And(1 < y,y < u^2-v^2+2), 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, 7, 5], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = 1, And(1
< y,y < u^2-v^2+2), (y-1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [1, 1], [11055025/2097152, 11055025/2097152], [4,
4]]]], [[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(-2*u^2+2*v^2 < y,y < -u^2+v^2-1), z = z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1299559/524288, -2599117/1048576], [-91203219/33554432, -\
91203219/33554432], [0, 0]]]], [[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 = -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], [598205/524288,
1196411/1048576], [-3, -3]]]], [[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 = -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], [598205/524288,
1196411/1048576], [-1314069/1048576, -328517/262144]]]], [[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 = -\
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], [598205/524288, 1196411/
1048576], [0, 0]]]], [[3, 7, 6, 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 = -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], [598205/524288, 1196411/
1048576], [328517/262144, 1314069/1048576]]]], [[3, 7, 6, 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 = -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], [
598205/524288, 1196411/1048576], [3, 3]]]], [[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 = 2*u^2
-2*v^2, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0],
[-2576463/1048576, -1288231/524288], [-6111547/2097152, -24446187/8388608], [0
, 0]]]], [[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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [8, 8], [25735089/2097152, 
25735089/2097152], [-4, -4]]]], [[3, 17, 11, 7, 2], [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 = -(y-x)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [8, 8], [
25735089/2097152, 25735089/2097152], [-2167143/1048576, -1083571/524288]]]], [
[3, 17, 11, 7, 3], [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), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [8, 8], [
25735089/2097152, 25735089/2097152], [0, 0]]]], [[3, 17, 11, 7, 4], [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 = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3
], [8, 8], [25735089/2097152, 25735089/2097152], [1083571/524288, 2167143/
1048576]]]], [[3, 17, 11, 7, 5], [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), (y-x)^(1/2) < z], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [3, 3], [8, 8], [25735089/2097152, 
25735089/2097152], [4, 4]]]], [[4, 2, 3, 3, 1], [v = -1, u = -3^(1/2), And(-3
< x,x < -1), And(x-1 < y,y < x), z = z], [regular_chain, [[-1, -1], [-1816187/
1048576, -3632373/2097152], [-2, -2], [-5/2, -5/2], [0, 0]]]], [[4, 6, 4, 5, 1
], [v = -1, u = -1, x = 0, 1 < y, z < -y^(1/2)], [regular_chain, [[-1, -1], [-\
1, -1], [0, 0], [2, 2], [-3, -3]]]], [[4, 6, 4, 5, 2], [v = -1, u = -1, x = 0,
1 < y, z = -y^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [0, 0], [2, 2], [-\
1482911/1048576, -741455/524288]]]], [[4, 6, 4, 5, 3], [v = -1, u = -1, x = 0,
1 < y, And(-y^(1/2) < z,z < y^(1/2))], [regular_chain, [[-1, -1], [-1, -1], [0
, 0], [2, 2], [0, 0]]]], [[4, 6, 4, 5, 4], [v = -1, u = -1, x = 0, 1 < y, z =
y^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [0, 0], [2, 2], [741455/524288,
1482911/1048576]]]], [[4, 6, 4, 5, 5], [v = -1, u = -1, x = 0, 1 < y, y^(1/2)
< z], [regular_chain, [[-1, -1], [-1, -1], [0, 0], [2, 2], [3, 3]]]], [[4, 7,
11, 9, 1], [v = -1, And(-1 < u,u < 0), 1 < x, x-u^2+2 < y, z < -(y-x)^(1/2)],
[regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2], [5, 5], [-3, -3]]]], [[4, 7,
11, 9, 2], [v = -1, And(-1 < u,u < 0), 1 < x, x-u^2+2 < y, z = -(y-x)^(1/2)],
[regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2], [5, 5], [-1816187/1048576, -\
3632373/2097152]]]], [[4, 7, 11, 9, 3], [v = -1, And(-1 < u,u < 0), 1 < x, x-u
^2+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [
-1/2, -1/2], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[4, 7, 11, 9, 4], [
v = -1, And(-1 < u,u < 0), 1 < x, x-u^2+2 < y, z = (y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2], [5, 5], [908093/524288, 
1816187/1048576]]]], [[4, 7, 11, 9, 5], [v = -1, And(-1 < u,u < 0), 1 < x, x-u
^2+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2], [
5, 5], [3, 3]]]], [[4, 14, 4, 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, 4, 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, 4, 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]]]], [[4, 15, 8, 9, 1], [v = -1, 3^(1/2) < u, x = 1, u^2+1 < y,
z < -(y-1)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [1, 1], [11, 11], [-5, -\
5]]]], [[4, 15, 8, 9, 2], [v = -1, 3^(1/2) < u, x = 1, u^2+1 < y, z = -(y-1)^(
1/2)], [regular_chain, [[-1, -1], [3, 3], [1, 1], [11, 11], [-3315889/1048576,
-207243/65536]]]], [[4, 15, 8, 9, 3], [v = -1, 3^(1/2) < u, x = 1, u^2+1 < y,
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, 9, 4], [v = -1, 3^(1/2) < u, x = 1, u^2+1
< y, z = (y-1)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [1, 1], [11, 11], [
207243/65536, 3315889/1048576]]]], [[4, 15, 8, 9, 5], [v = -1, 3^(1/2) < u, x
= 1, u^2+1 < y, (y-1)^(1/2) < z], [regular_chain, [[-1, -1], [3, 3], [1, 1], [
11, 11], [5, 5]]]], [[5, 4, 7, 1, 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], [-1, -1], [0, 0]]]], [[5, 6, 1, 1, 1],
[And(-1 < v,v < 0), u = v, x < -1, y < x, z = z], [regular_chain, [[-1/2, -1/2
], [-1/2, -1/2], [-2, -2], [-3, -3], [0, 0]]]], [[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(0 < y,y < x), z =
z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [1/2, 1
/2], [1/4, 1/4], [0, 0]]]], [[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 = 0, z < -1], [regular_chain, [[-1/2,
-1/2], [343151/262144, 343151/262144], [-1, -1], [0, 0], [-2, -2]]]], [[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 = 0, z = -1], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144
], [-1, -1], [0, 0], [-1, -1]]]], [[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 = 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, 6, 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, 6, 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, 2, 1], [v = 0, u = -2^(1/2), x < -3, y = x-1, z = z],
[regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-4, -4], [-5, -5
], [0, 0]]]], [[6, 3, 5, 7, 1], [v = 0, And(-2^(1/2) < u,u < -1), And(-1 < x,x
< 0), And(0 < y,y < u^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [-1/2, -1/2], [1026087/1048576, 1026087/
1048576], [-3, -3]]]], [[6, 3, 5, 7, 2], [v = 0, And(-2^(1/2) < u,u < -1), And
(-1 < x,x < 0), And(0 < y,y < u^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[0
, 0], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [1026087/1048576, 
1026087/1048576], [-79689/65536, -1275023/1048576]]]], [[6, 3, 5, 7, 3], [v =
0, And(-2^(1/2) < u,u < -1), And(-1 < x,x < 0), And(0 < y,y < u^2+x+1), And(-(
y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [-1265743/1048576,
-1265743/1048576], [-1/2, -1/2], [1026087/1048576, 1026087/1048576], [0, 0]]]]
, [[6, 3, 5, 7, 4], [v = 0, And(-2^(1/2) < u,u < -1), And(-1 < x,x < 0), And(0
< y,y < u^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576
, -1265743/1048576], [-1/2, -1/2], [1026087/1048576, 1026087/1048576], [
1275023/1048576, 79689/65536]]]], [[6, 3, 5, 7, 5], [v = 0, And(-2^(1/2) < u,u
< -1), And(-1 < x,x < 0), And(0 < y,y < u^2+x+1), (y-x)^(1/2) < z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [
1026087/1048576, 1026087/1048576], [3, 3]]]], [[6, 9, 9, 4, 1], [v = 0, And(1
< u,u < 2^(1/2)), And(u^2-1 < x,x < 1), y = x-u^2+1, z = z], [regular_chain, [
[0, 0], [1265743/1048576, 1265743/1048576], [1527887/2097152, 1527887/2097152]
, [35579/131072, 284633/1048576], [0, 0]]]], [[6, 11, 2, 7, 1], [v = 0, 2^(1/2
) < u, x = -u^2-1, 0 < y, z < -(u^2+y+1)^(1/2)], [regular_chain, [[0, 0], [3,
3], [-10, -10], [1, 1], [-5, -5]]]], [[6, 11, 2, 7, 2], [v = 0, 2^(1/2) < u, x
= -u^2-1, 0 < y, z = -(u^2+y+1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-10,
-10], [1, 1], [-1738867/524288, -3477733/1048576]]]], [[6, 11, 2, 7, 3], [v =
0, 2^(1/2) < u, x = -u^2-1, 0 < y, 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, 7, 4], [v = 0, 2^(1/2) < u, x = -u^2-1, 0 < y, z = (u^2+y+1)^(1/2)], [
regular_chain, [[0, 0], [3, 3], [-10, -10], [1, 1], [3477733/1048576, 1738867/
524288]]]], [[6, 11, 2, 7, 5], [v = 0, 2^(1/2) < u, x = -u^2-1, 0 < y, (u^2+y+
1)^(1/2) < z], [regular_chain, [[0, 0], [3, 3], [-10, -10], [1, 1], [5, 5]]]],
[[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(-u^2+v^2+2 < y,y < 1), 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 = 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], [636235/1048576, 159059/262144], [-3, -3]]]], [[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 = 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
], [636235/1048576, 159059/262144], [-19417/16384, -1242687/1048576]]]], [[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 = u^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], [636235/1048576, 159059/262144], [0, 0]]]]
, [[7, 5, 5, 8, 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], [636235/1048576, 159059/262144], [1242687/1048576, 19417/16384]]]],
[[7, 5, 5, 8, 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], [636235/1048576, 159059/262144], [3, 3]]]], [[8, 1, 6, 2, 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, 3, 1], [v = 1, u = -3^(1/2), x = 1, 
And(0 < y,y < 1), z = z], [regular_chain, [[1, 1], [-1816187/1048576, -3632373
/2097152], [1, 1], [1/2, 1/2], [0, 0]]]], [[8, 7, 4, 3, 1], [v = 1, And(-1 < u
,u < 0), x = -1, And(-1 < y,y < u^2-1), z < -(y+1)^(1/2)], [regular_chain, [[1
, 1], [-1/2, -1/2], [-1, -1], [-7/8, -7/8], [-2, -2]]]], [[8, 7, 4, 3, 2], [v
= 1, And(-1 < u,u < 0), x = -1, And(-1 < y,y < u^2-1), z = -(y+1)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [-7/8, -7/8], [-46341/131072,
-370727/1048576]]]], [[8, 7, 4, 3, 3], [v = 1, And(-1 < u,u < 0), x = -1, And(
-1 < 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], [-7/8, -7/8], [0, 0]]]], [[8, 7, 4, 3, 4], [v =
1, And(-1 < u,u < 0), x = -1, And(-1 < y,y < u^2-1), z = (y+1)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [-7/8, -7/8], [370727/1048576,
46341/131072]]]], [[8, 7, 4, 3, 5], [v = 1, And(-1 < u,u < 0), x = -1, And(-1
< y,y < u^2-1), (y+1)^(1/2) < z], [regular_chain, [[1, 1], [-1/2, -1/2], [-1,
-1], [-7/8, -7/8], [2, 2]]]], [[8, 8, 7, 7, 1], [v = 1, u = 0, And(0 < x,x < 1
), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [0, 0], [1/2, 1/2], [4
, 4], [-3, -3]]]], [[8, 8, 7, 7, 2], [v = 1, u = 0, And(0 < x,x < 1), x+2 < y,
z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [0, 0], [1/2, 1/2], [4, 4], [-\
7846825/4194304, -980853/524288]]]], [[8, 8, 7, 7, 3], [v = 1, u = 0, And(0 <
x,x < 1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1
, 1], [0, 0], [1/2, 1/2], [4, 4], [0, 0]]]], [[8, 8, 7, 7, 4], [v = 1, u = 0,
And(0 < x,x < 1), x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [0, 0],
[1/2, 1/2], [4, 4], [980853/524288, 1961707/1048576]]]], [[8, 8, 7, 7, 5], [v
= 1, u = 0, And(0 < x,x < 1), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[1,
1], [0, 0], [1/2, 1/2], [4, 4], [3, 3]]]], [[8, 15, 1, 1, 1], [v = 1, 3^(1/2)
< u, x < -u^2, y < x-u^2+2, z = z], [regular_chain, [[1, 1], [3, 3], [-10, -10
], [-18, -18], [0, 0]]]], [[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 = x-u^2+v^2+1, z = z], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10006449/2097152, -10006449
/2097152], [-5931973/524288, -11863945/1048576], [0, 0]]]], [[9, 5, 4, 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,
z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-5818805/4194304, -5818805/4194304], [-1, -1], [-490237/1048576, -122559/
262144], [-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 = -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], [-1530309/
2097152, -382577/524288]]]], [[9, 5, 4, 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, 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, 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, z = (-u^2+v^2+1)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [
-1, -1], [-490237/1048576, -122559/262144], [382577/524288, 765155/1048576]]]]
, [[9, 5, 4, 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, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [-490237/
1048576, -122559/262144], [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 < x, z = z], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [
-3, -3], [-4, -4], [0, 0]]]], [[9, 10, 2, 2, 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, 2, 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, 2, 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, 11, 8, 1, 1], [And(1 < v,v < 2^(
1/2)), And((v^2-1)^(1/2) < u,u < v), x = 0, y < 0, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [0, 0], [
-1, -1], [0, 0]]]], [[9, 16, 1, 8, 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, 8, 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, 8,
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, 8, 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, 8, 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, 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 < -(y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [-1/2, -1/2], [10, 10], [-5, -5]]]]
, [[9, 17, 5, 9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [-1/2, -1/2], [10, 10], [-3397775/1048576, -1698887/
524288]]]], [[9, 17, 5, 9, 3], [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, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1/2, -1/2], [10,
10], [0, 0]]]], [[9, 17, 5, 9, 4], [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 = (y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [-1/2, -1/2], [10, 10], [1698887/
524288, 3397775/1048576]]]], [[9, 17, 5, 9, 5], [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, (y-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1/2, -1/2], [10,
10], [5, 5]]]], [[10, 6, 2, 3, 1], [v = 2^(1/2), u = -v, x = -1, And(-1 < y,y
< 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+
1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+
1)^(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(-1 < y,y < 0), (y+1
)^(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), x-u^2+3 < y, z < -(y-x)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576,
-1265743/1048576], [1/2, 1/2], [4, 4], [-3, -3]]]], [[10, 7, 9, 9, 2], [v = 2^
(1/2), And(-v < u,u < -1), And(0 < x,x < 1), x-u^2+3 < y, z = -(y-x)^(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, 9, 3], [v = 2^(1/2), And(-v < u,u < -1), And(0 < x,x < 1), x-u^2+3 < y, And
(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [4, 4], [0, 0]]]],
[[10, 7, 9, 9, 4], [v = 2^(1/2), And(-v < u,u < -1), And(0 < x,x < 1), x-u^2+3
< y, z = (y-x)^(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, 9, 5], [v = 2^(1/2), And(-v < u,u < -1), And(
0 < x,x < 1), x-u^2+3 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288,
1482911/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [4, 4], [3
, 3]]]], [[10, 11, 11, 2, 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, 6, 1, 1], [v = 2^(1/2), And(1 < u,u < v), x = -u^2
+1, y < -u^2+1, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-479311/1048576, -239655/524288], [-2, -2]
, [0, 0]]]], [[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(x-u^2+v^2+1 < y,y < x), z = z], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-915943/524288,
-915943/524288], [-522727/262144, -522727/262144], [0, 0]]]], [[11, 4, 6, 3, 1
], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = 0, And(0 < y,y < 2), 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(0 <
y,y < 2), 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(0 < y,y < 2), 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(0 < y,y
< 2), 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(0 < y,y < 2), 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, 0 < y, z < -
(y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [-657547/262144, -5260375/2097152], [1, 1], [-3, -3]]]], [[11, 9, 2,
7, 2], [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 = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [-657547/262144, -5260375/2097152], [1, 1], [-\
7856171/4194304, -3928085/2097152]]]], [[11, 9, 2, 7, 3], [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, And(-(y-u^2+v^2+1)
^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [-657547/262144, -5260375/2097152], [1, 1], [-1/
4194304, -1/4194304]]]], [[11, 9, 2, 7, 4], [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 = (y-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-657547/
262144, -5260375/2097152], [1, 1], [982021/524288, 1964043/1048576]]]], [[11,
9, 2, 7, 5], [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, (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [-657547/262144, -5260375/2097152], [1, 1], [3, 3
]]]], [[11, 10, 4, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 16, 4, 1, 1], [2^(1/2) <
v, u = v, x = 0, y < 0, z = z], [regular_chain, [[3, 3], [3, 3], [0, 0], [-1,
-1], [0, 0]]]], [[11, 17, 11, 1, 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], [-1, -1], [0, 0]]]], [[1, 5, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6
, 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, 3, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x <
u^2-v^2-1, And(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-3
, -3], [-6111549/2097152, -6111549/2097152], [-3, -3], [-11549769/4194304, -\
11549769/4194304], [-2, -2]]]], [[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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)],
[regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3, -3], [-\
11549769/4194304, -11549769/4194304], [-16263/32768, -520415/1048576]]]], [[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(
x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3, -3], [-11549769/
4194304, -11549769/4194304], [0, 0]]]], [[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(x < y,y < u^2-v^2+x+1), z = (y-x)^
(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3,
-3], [-11549769/4194304, -11549769/4194304], [520415/1048576, 16263/32768]]]],
[[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(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-3, -3], [-11549769/4194304, -11549769/
4194304], [2, 2]]]], [[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(2*u^2-2*v^2 < y,y < u^2-v^2-1), z = z],
[regular_chain, [[-3, -3], [0, 0], [-10, -10], [-14, -14], [0, 0]]]], [[1, 12,
4, 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, 4, 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, 4, 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, 18, 8, 1, 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], [-1, -1], [0, 0]]]], [[1, 20, 1, 4, 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, 4, 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, 4, 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, 6, 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, 6, 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, 6, 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, 2, 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
, 2, 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, 2, 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, 5, 1], [v = -2^(1/2), And(v < u,
u < -1), x = 0, And(u^2-1 < y,y < -u^2+3), z < -y^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [0, 0]
, [1, 1], [-2, -2]]]], [[2, 7, 8, 5, 2], [v = -2^(1/2), And(v < u,u < -1), x =
0, And(u^2-1 < y,y < -u^2+3), z = -y^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [0, 0], [1, 1]
, [-1, -1]]]], [[2, 7, 8, 5, 3], [v = -2^(1/2), And(v < u,u < -1), 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], [-1265743/1048576, -1265743/1048576], [0, 0]
, [1, 1], [0, 0]]]], [[2, 7, 8, 5, 4], [v = -2^(1/2), And(v < u,u < -1), x = 0
, And(u^2-1 < y,y < -u^2+3), z = y^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1265743/1048576, -1265743/1048576], [0, 0], [1, 1], [1, 1]]
]], [[2, 7, 8, 5, 5], [v = -2^(1/2), And(v < u,u < -1), x = 0, And(u^2-1 < y,y
< -u^2+3), y^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1265743/1048576, -1265743/1048576], [0, 0], [1, 1], [2, 2]]]], [[2, 9, 3, 6,
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, 6, 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, 6, 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, 6, 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, 6, 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, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3,
1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, And(x < y,y < x-u^2+3)
, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-3, -3], [-2870343/1048576, -2870343/
1048576], [-2, -2]]]], [[2, 15, 1, 3, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2
)), x < -u^2+1, And(x < y,y < x-u^2+3), z = -(y-x)^(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, 3, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, And(x <
y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, And(x < y,y < x-
u^2+3), z = (y-x)^(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, 3, 5], [v = -2^(1/2)
, And(-v < u,u < 3^(1/2)), x < -u^2+1, And(x < y,y < x-u^2+3), (y-x)^(1/2) < z
], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [-3, -3], [-2870343/1048576, -2870343/1048576], [2, 2]]]], [
[3, 1, 8, 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, 8, 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, 8, 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,
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(u^2-v^2+x+1 < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [-797593/1048576, -797593/1048576], [-3, -3]]]],
[[3, 3, 1, 7, 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 < 0), z = -(y-x)^(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, 7, 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 < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4, -4],
[-797593/1048576, -797593/1048576], [0, 0]]]], [[3, 3, 1, 7, 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 < 0), z = (y-x)^(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, 7,
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 < 0), (y-x)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-\
4, -4], [-797593/1048576, -797593/1048576], [3, 3]]]], [[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(-u^2+
v^2-1 < 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], [-225185/1048576, -225185/1048576], [-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(-u^2+v^2-1 < 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], [-225185/1048576, -225185
/1048576], [-485927/1048576, -242963/524288]]]], [[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(-u^2+v^2-1
< 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], [-225185/1048576, -225185
/1048576], [0, 0]]]], [[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(-u^2+v^2-1 < 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], [-225185/
1048576, -225185/1048576], [242963/524288, 485927/1048576]]]], [[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(-u^2+v^2-1 < 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], [-225185/1048576, -225185/1048576], [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 = x, z < 0], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [0, 0], [-4, -4], [-4, -4], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
0, 0], [-4, -4], [-4, -4], [0, 0]]]], [[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 = x, 0 < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-4, -4], [-4,
-4], [1, 1]]]], [[4, 1, 1, 3, 1], [v = -1, u < -3^(1/2), x < -u^2, And(x-u^2+2
< y,y < x), z = z], [regular_chain, [[-1, -1], [-3, -3], [-10, -10], [-27/2, -\
27/2], [0, 0]]]], [[4, 2, 3, 4, 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, 4, 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, 4, 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, 7, 1], [v = -1, u = -1, And(0 < x,x < 1), x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1, -1], [1/2, 1/2], [3, 3], [-3, -3]]]], [[4, 6, 5
, 7, 2], [v = -1, u = -1, And(0 < x,x < 1), x+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1, -1], [1/2, 1/2], [3, 3], [-3315889/2097152, -\
207243/131072]]]], [[4, 6, 5, 7, 3], [v = -1, u = -1, And(0 < x,x < 1), x+1 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-1, -1]
, [1/2, 1/2], [3, 3], [0, 0]]]], [[4, 6, 5, 7, 4], [v = -1, u = -1, And(0 < x,
x < 1), x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [1/2,
1/2], [3, 3], [207243/131072, 1657945/1048576]]]], [[4, 6, 5, 7, 5], [v = -1,
u = -1, And(0 < x,x < 1), x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1]
, [-1, -1], [1/2, 1/2], [3, 3], [3, 3]]]], [[4, 8, 1, 3, 1], [v = -1, u = 0, x
< -2, And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [0, 0]
, [-3, -3], [-2, -2], [-2, -2]]]], [[4, 8, 1, 3, 2], [v = -1, u = 0, x < -2, 
And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-3,
-3], [-2, -2], [-1, -1]]]], [[4, 8, 1, 3, 3], [v = -1, u = 0, x < -2, And(x <
y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1],
[0, 0], [-3, -3], [-2, -2], [0, 0]]]], [[4, 8, 1, 3, 4], [v = -1, u = 0, x < -\
2, And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-\
3, -3], [-2, -2], [1, 1]]]], [[4, 8, 1, 3, 5], [v = -1, u = 0, x < -2, And(x <
y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [0, 0], [-3, -3], [-2
, -2], [2, 2]]]], [[4, 14, 4, 9, 1], [v = -1, u = 3^(1/2), x = -1, 2 < y, z <
-(y+1)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-\
1, -1], [3, 3], [-3, -3]]]], [[4, 14, 4, 9, 2], [v = -1, u = 3^(1/2), x = -1,
2 < y, z = -(y+1)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [-1, -1], [3, 3], [-2, -2]]]], [[4, 14, 4, 9, 3], [v = -1, u = 3^(1/
2), x = -1, 2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-\
1, -1], [908093/524288, 1816187/1048576], [-1, -1], [3, 3], [0, 0]]]], [[4, 14
, 4, 9, 4], [v = -1, u = 3^(1/2), x = -1, 2 < y, z = (y+1)^(1/2)], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1, -1], [3, 3],
[2, 2]]]], [[4, 14, 4, 9, 5], [v = -1, u = 3^(1/2), x = -1, 2 < y, (y+1)^(1/2)
< z], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1, -1], [
3, 3], [3, 3]]]], [[4, 15, 9, 1, 1], [v = -1, 3^(1/2) < u, And(1 < x,x < u^2-2
), y < x-u^2+2, z = z], [regular_chain, [[-1, -1], [3, 3], [4, 4], [-4, -4], [
0, 0]]]], [[5, 4, 8, 1, 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], [-1, -1], [0, 0]]]], [[5, 6, 1, 4, 1], [And(-1 < v,v < 0), u = v, x <
-1, y = x+1, 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 =
x+1, 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 = x+1, 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 = x+1, 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 = x+1, 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, u^2-v
^2+1 < y, z < -y^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [0, 0], [3, 3], [-3, -3]]]], [[5, 9, 8, 7, 2], [And(-1 < v,v
< 0), And(-v < u,u < (v^2+1)^(1/2)), x = 0, u^2-v^2+1 < y, 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, 7, 3], [And(-1 < v,v <
0), And(-v < u,u < (v^2+1)^(1/2)), x = 0, u^2-v^2+1 < y, 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, 7, 4], [And(-1 < v,v <
0), And(-v < u,u < (v^2+1)^(1/2)), x = 0, u^2-v^2+1 < y, 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, 7, 5], [And(-1 < v,v < 0),
And(-v < u,u < (v^2+1)^(1/2)), x = 0, u^2-v^2+1 < y, y^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [0, 0], [3,
3], [3, 3]]]], [[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 < -(u^2-v^2+1
)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-\
1815885/1048576, -1815885/1048576], [767309/1048576, 383655/524288], [-3, -3]]
]], [[5, 11, 3, 8, 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], [767309/1048576, 383655/524288], [-3291611/2097152
, -1645805/1048576]]]], [[5, 11, 3, 8, 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], [767309/
1048576, 383655/524288], [0, 0]]]], [[5, 11, 3, 8, 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], [767309/1048576, 383655/
524288], [1645805/1048576, 822903/524288]]]], [[5, 11, 3, 8, 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], [767309/1048576,
383655/524288], [3, 3]]]], [[6, 2, 1, 1, 1], [v = 0, u = -2^(1/2), x < -3, y <
x-1, z = z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-4,
-4], [-6, -6], [0, 0]]]], [[6, 3, 5, 2, 1], [v = 0, And(-2^(1/2) < u,u < -1),
And(-1 < x,x < 0), y = x-u^2+1, z = z], [regular_chain, [[0, 0], [-1265743/
1048576, -1265743/1048576], [-1/2, -1/2], [-4014395/4194304, -16057579/
16777216], [0, 0]]]], [[6, 9, 9, 1, 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], [-1, -1], [0, 0]]]], [[6
, 11, 1, 9, 1], [v = 0, 2^(1/2) < u, x < -u^2-1, 0 < y, z < -(y-x)^(1/2)], [
regular_chain, [[0, 0], [3, 3], [-11, -11], [1, 1], [-5, -5]]]], [[6, 11, 1, 9
, 2], [v = 0, 2^(1/2) < u, x < -u^2-1, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[0, 0], [3, 3], [-11, -11], [1, 1], [-1816187/524288, -3632373
/1048576]]]], [[6, 11, 1, 9, 3], [v = 0, 2^(1/2) < u, x < -u^2-1, 0 < y, And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [3, 3], [-11, -11]
, [1, 1], [0, 0]]]], [[6, 11, 1, 9, 4], [v = 0, 2^(1/2) < u, x < -u^2-1, 0 < y
, z = (y-x)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-11, -11], [1, 1], [
3632373/1048576, 1816187/524288]]]], [[6, 11, 1, 9, 5], [v = 0, 2^(1/2) < u, x
< -u^2-1, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[0, 0], [3, 3], [-11, -11]
, [1, 1], [5, 5]]]], [[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 = -u^2+v^2+2, z = z], [regular_chain, [[1/2,
1/2], [-343151/262144, -343151/262144], [1, 1], [562533/1048576, 281267/524288
], [0, 0]]]], [[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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)],
[regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1672995/
2097152, -1672995/2097152], [-2097153/4194304, -2097153/4194304], [-2, -2]]]],
[[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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1672995/
2097152, -1672995/2097152], [-2097153/4194304, -2097153/4194304], [-1144335/
2097152, -572167/1048576]]]], [[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(x < y,y < x-u^2+v^2+1), 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631
/2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152], [-2097153/
4194304, -2097153/4194304], [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(x < y,y < x-u^2
+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-1672995/2097152, -1672995/2097152], [-2097153/4194304, -\
2097153/4194304], [572167/1048576, 71521/131072]]]], [[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(x <
y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152], [-2097153/
4194304, -2097153/4194304], [2, 2]]]], [[8, 1, 6, 5, 1], [v = 1, u < -3^(1/2),
x = 0, And(0 < y,y < u^2), z < -y^(1/2)], [regular_chain, [[1, 1], [-3, -3], [
0, 0], [9/2, 9/2], [-4, -4]]]], [[8, 1, 6, 5, 2], [v = 1, u < -3^(1/2), x = 0,
And(0 < y,y < u^2), z = -y^(1/2)], [regular_chain, [[1, 1], [-3, -3], [0, 0],
[9/2, 9/2], [-1112183/524288, -2224365/1048576]]]], [[8, 1, 6, 5, 3], [v = 1,
u < -3^(1/2), x = 0, And(0 < y,y < u^2), 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, 5,
4], [v = 1, u < -3^(1/2), x = 0, And(0 < y,y < u^2), z = y^(1/2)], [
regular_chain, [[1, 1], [-3, -3], [0, 0], [9/2, 9/2], [2224365/1048576, 
1112183/524288]]]], [[8, 1, 6, 5, 5], [v = 1, u < -3^(1/2), x = 0, And(0 < y,y
< u^2), y^(1/2) < z], [regular_chain, [[1, 1], [-3, -3], [0, 0], [9/2, 9/2], [
4, 4]]]], [[8, 2, 9, 3, 1], [v = 1, u = -3^(1/2), 1 < x, And(0 < y,y < x-1), z
= z], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [2, 2], [
1/2, 1/2], [0, 0]]]], [[8, 7, 4, 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], [-3/4, -3/4],
[-2, -2]]]], [[8, 7, 4, 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], [-3/4, -3/4], [-1/2, -1
/2]]]], [[8, 7, 4, 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], [-3/4, -3/4], [
0, 0]]]], [[8, 7, 4, 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], [-3/4, -3/4], [1/2, 1/2]
]]], [[8, 7, 4, 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], [-3/4, -3/4], [2, 2]]]], [[8,
8, 8, 5, 1], [v = 1, u = 0, x = 1, And(1 < y,y < 3), z < -(y-1)^(1/2)], [
regular_chain, [[1, 1], [0, 0], [1, 1], [2, 2], [-2, -2]]]], [[8, 8, 8, 5, 2],
[v = 1, u = 0, x = 1, And(1 < y,y < 3), z = -(y-1)^(1/2)], [regular_chain, [[1
, 1], [0, 0], [1, 1], [2, 2], [-1, -1]]]], [[8, 8, 8, 5, 3], [v = 1, u = 0, x
= 1, And(1 < y,y < 3), 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, 5, 4], [v = 1, u = 0, x
= 1, And(1 < y,y < 3), z = (y-1)^(1/2)], [regular_chain, [[1, 1], [0, 0], [1,
1], [2, 2], [1, 1]]]], [[8, 8, 8, 5, 5], [v = 1, u = 0, x = 1, And(1 < y,y < 3
), (y-1)^(1/2) < z], [regular_chain, [[1, 1], [0, 0], [1, 1], [2, 2], [2, 2]]]
], [[8, 15, 1, 4, 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, 4, 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, 4, 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, 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 < -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10006449/
2097152, -10006449/2097152], [5, 5], [-5, -5]]]], [[9, 1, 3, 9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3,
-3], [-10006449/2097152, -10006449/2097152], [5, 5], [-3277777/1048576, -\
204861/65536]]]], [[9, 1, 3, 9, 3], [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, And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-\
10006449/2097152, -10006449/2097152], [5, 5], [0, 0]]]], [[9, 1, 3, 9, 4], [
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 = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [5, 5], [204861/
65536, 3277777/1048576]]]], [[9, 1, 3, 9, 5], [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, (y-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10006449/
2097152, -10006449/2097152], [5, 5], [5, 5]]]], [[9, 5, 4, 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 < y,y < 0), z
< -(y+1)^(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(-u^2+v^2 < y,y < 0), z = -(y+1)^(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(-u^2+v^2 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-u^2+v^2 < y,y < 0), z = (y+1)^(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(-u^2+v^2 < y,y < 0), (y+1)^(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 = x-u^2+v^2+1, z < -(-u^2+v^2
+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-3, -3], [-1498947/1048576, -749473/524288], [-3,
-3]]]], [[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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3
, -3], [-1498947/1048576, -749473/524288], [-1314069/1048576, -328517/262144]]
]], [[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 = x-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], [-3, -3], [-1498947/1048576, -749473/524288], [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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [-\
1498947/1048576, -749473/524288], [328517/262144, 1314069/1048576]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [-\
1498947/1048576, -749473/524288], [3, 3]]]], [[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-u^2+v^2+1 < y, z < -(y-x)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [-450371/2097152, -450371/2097152], [3, 3], [-3, -3]]]], [[9,
11, 7, 9, 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), x-u^2+v^2+1 < y, z = -(y-x)^(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, 9, 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), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9, 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), x-u^2+v^2+1 < y, z = (y-x)^(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, 9, 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), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-450371/
2097152, -450371/2097152], [3, 3], [3, 3]]]], [[9, 16, 1, 1, 1], [And(1 < v,v
< 2^(1/2)), u = (v^2+2)^(1/2), x < -3, y < x-1, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-4, -4],
[-6, -6], [0, 0]]]], [[9, 17, 5, 6, 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, 6, 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, 6
, 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, 6, 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, 6, 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, 5, 1], [v = 2^(1/2), u = -v, x < -1, And(x+1 < y,y
< 0), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1482911/1048576, -741455/524288], [-2, -2], [-1/2, -1/2], [-3, -3]]]], [[10, 6
, 1, 5, 2], [v = 2^(1/2), u = -v, x < -1, And(x+1 < y,y < 0), z = -(y-x)^(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, 5, 3], [v = 2^(1/2), u = -v, x < -1, And(x+1 < y,y < 0), And(-(y-x
)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [-2, -2], [-1/2, -1/2], [0, 0]]]
], [[10, 6, 1, 5, 4], [v = 2^(1/2), u = -v, x < -1, And(x+1 < y,y < 0), z = (y
-x)^(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, 5, 5], [v = 2^(1/2), u = -v, x < -1, And(x+1 < y,y <
0), (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1482911/1048576, -741455/524288], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[10, 7,
9, 8, 1], [v = 2^(1/2), And(-v < u,u < -1), And(0 < x,x < 1), y = x-u^2+3, z <
-(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743
/1048576, -1265743/1048576], [1/2, 1/2], [2142129/1048576, 1071065/524288], [-\
3, -3]]]], [[10, 7, 9, 8, 2], [v = 2^(1/2), And(-v < u,u < -1), And(0 < x,x <
1), y = x-u^2+3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [2142129/
1048576, 1071065/524288], [-1302471/1048576, -651235/524288]]]], [[10, 7, 9, 8
, 3], [v = 2^(1/2), And(-v < u,u < -1), And(0 < x,x < 1), y = x-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], [1/2, 1/2], [2142129/
1048576, 1071065/524288], [0, 0]]]], [[10, 7, 9, 8, 4], [v = 2^(1/2), And(-v <
u,u < -1), And(0 < x,x < 1), y = x-u^2+3, z = (-u^2+3)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [1/2,
1/2], [2142129/1048576, 1071065/524288], [651235/524288, 1302471/1048576]]]],
[[10, 7, 9, 8, 5], [v = 2^(1/2), And(-v < u,u < -1), And(0 < x,x < 1), y = x-u
^2+3, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[-1265743/1048576, -1265743/1048576], [1/2, 1/2], [2142129/1048576, 1071065/
524288], [3, 3]]]], [[10, 11, 10, 4, 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, 7, 1], [v = 2^(1/2), And(1 < u
,u < v), And(-1 < x,x < -u^2+1), And(0 < y,y < x-u^2+3), z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-1527887/2097152, -1527887/2097152], [853897/2097152, 853897/
2097152], [-3, -3]]]], [[10, 13, 5, 7, 2], [v = 2^(1/2), And(1 < u,u < v), And
(-1 < x,x < -u^2+1), And(0 < y,y < x-u^2+3), z = -(y-x)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-\
1527887/2097152, -1527887/2097152], [853897/2097152, 853897/2097152], [-\
1117471/1048576, -558735/524288]]]], [[10, 13, 5, 7, 3], [v = 2^(1/2), And(1 <
u,u < v), And(-1 < x,x < -u^2+1), And(0 < y,y < x-u^2+3), And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [
853897/2097152, 853897/2097152], [0, 0]]]], [[10, 13, 5, 7, 4], [v = 2^(1/2),
And(1 < u,u < v), And(-1 < x,x < -u^2+1), And(0 < y,y < x-u^2+3), z = (y-x)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [-1527887/2097152, -1527887/2097152], [853897/2097152, 
853897/2097152], [558735/524288, 1117471/1048576]]]], [[10, 13, 5, 7, 5], [v =
2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+1), And(0 < y,y < x-u^2+3), (y-
x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [853897/
2097152, 853897/2097152], [3, 3]]]], [[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 = x, z < 0],
[regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-915943/524288
, -915943/524288], [-915943/524288, -915943/524288], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [-915943/524288, -915943/524288], [-915943/524288, -915943/
524288], [0, 0]]]], [[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 = x, 0 < z], [regular_chain,
[[3, 3], [-3396811/1048576, -3396811/1048576], [-915943/524288, -915943/524288
], [-915943/524288, -915943/524288], [1, 1]]]], [[11, 4, 7, 3, 1], [2^(1/2) <
v, u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(0 < y,y < x), z = z], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [1/2, 1/2], [1/4, 1
/4], [0, 0]]]], [[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 < x), z = z],
[regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-7357527/
4194304, -7357527/4194304], [-16847195/8388608, -16847195/8388608], [0, 0]]]],
[[11, 10, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 2, 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, 2, 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, 2, 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, 6, 1], [2^(1/2) < v, And(v < u,u < (v^2
+1)^(1/2)), 1 < x, y = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain,
[[3, 3], [403851/131072, 403851/131072], [2, 2], [328543/131072, 2628345/
1048576], [-2, -2]]]], [[11, 17, 11, 6, 2], [2^(1/2) < v, And(v < u,u < (v^2+1
)^(1/2)), 1 < x, y = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[
3, 3], [403851/131072, 403851/131072], [2, 2], [328543/131072, 2628345/1048576
], [-373161/524288, -1492643/2097152]]]], [[11, 17, 11, 6, 3], [2^(1/2) < v, 
And(v < u,u < (v^2+1)^(1/2)), 1 < x, y = x-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], [2, 2], [328543/131072, 2628345/1048576], [-1/4194304, -1/4194304]]]]
, [[11, 17, 11, 6, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 1 < x, y =
x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072,
403851/131072], [2, 2], [328543/131072, 2628345/1048576], [746321/1048576, 
373161/524288]]]], [[11, 17, 11, 6, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1
/2)), 1 < x, y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3]
, [403851/131072, 403851/131072], [2, 2], [328543/131072, 2628345/1048576], [2
, 2]]]], [[1, 2, 4, 5, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -1, And(-1 <
y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y
+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = 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], [391655/
131072, 3133241/1048576], [-3, -3]]]], [[1, 3, 8, 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 = 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], [391655/131072, 3133241/1048576], [
-1655969/1048576, -3311937/2097152]]]], [[1, 3, 8, 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 = 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], [391655/
131072, 3133241/1048576], [-1/4194304, -1/4194304]]]], [[1, 3, 8, 6, 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], [391655/131072, 3133241/
1048576], [51749/32768, 1655969/1048576]]]], [[1, 3, 8, 6, 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], [391655/131072, 3133241/1048576], [
3, 3]]]], [[1, 8, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 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 = z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [533035/1048576, 133259/262144], [533035/2097152, 533035/2097152], [
0, 0]]]], [[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 = -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], [
133001/131072, 1064009/1048576], [-3, -3]]]], [[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 = -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], [133001/131072, 1064009/1048576], [-1287385
/1048576, -160923/131072]]]], [[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 = -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], [133001/131072, 1064009/
1048576], [0, 0]]]], [[1, 15, 6, 6, 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], [133001/131072, 1064009/1048576], [160923/131072, 1287385/
1048576]]]], [[1, 15, 6, 6, 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],
[133001/131072, 1064009/1048576], [3, 3]]]], [[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(x-u^2+v^2+1 < y
,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-2614535/2097152, -2614535/2097152], [-1552149/4194304, -1552149/
4194304], [-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(x-u^2+v^2+1 < y,y < 0), z = -(y-x)^(
1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-2614535/
2097152, -2614535/2097152], [-1552149/4194304, -1552149/4194304], [-7854203/
8388608, -3927101/4194304]]]], [[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(x-u^2+v^2+1 < y,y < 0), And(
-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [403851/131072,
403851/131072], [-2614535/2097152, -2614535/2097152], [-1552149/4194304, -\
1552149/4194304], [-1/8388608, -1/8388608]]]], [[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(x-u^2+v^2+1
< y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [-2614535/2097152, -2614535/2097152], [-1552149/4194304, -\
1552149/4194304], [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(x-u^2+v
^2+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072,
403851/131072], [-2614535/2097152, -2614535/2097152], [-1552149/4194304, -\
1552149/4194304], [2, 2]]]], [[1, 21, 4, 5, 1], [v < -2^(1/2), (v^2+2)^(1/2) <
u, x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(
-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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(1 < y
,y < -u^2+4), 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, 7, 2], [v
= -2^(1/2), And(0 < u,u < 1), x = 1, And(1 < y,y < -u^2+4), 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, 7, 3], [v = -2^(1
/2), And(0 < u,u < 1), x = 1, And(1 < y,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], [19/8, 19/8], [0, 0]]]], [[2, 11, 10, 7, 4], [v = -2^(1/2), And(0 <
u,u < 1), x = 1, And(1 < y,y < -u^2+4), 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, 7, 5], [v = -2^(1/2), And(0 < u,u <
1), x = 1, And(1 < y,y < -u^2+4), (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, 5, 2, 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, 2, 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, 2, 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, 4, 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], [135777/262144, 543109/1048576], [0, 0]]]],
[[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+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, 6, 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, 6, 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, 6,
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, 6, 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, 8, 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], [646847/262144, 2587389/1048576], [-3, -3]]]], [[3, 5, 10, 8, 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], [646847/262144, 2587389/1048576],
[-1270261/1048576, -317565/262144]]]], [[3, 5, 10, 8, 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], [646847/262144, 
2587389/1048576], [0, 0]]]], [[3, 5, 10, 8, 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], [646847/262144, 2587389/1048576], [317565/262144, 
1270261/1048576]]]], [[3, 5, 10, 8, 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], [646847/262144, 2587389/1048576], [3, 3]]]], [[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 < y,y < 0), z < -(y-x)^(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, 3, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2),
And(-1 < x,x < 0), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [And(-2^(1/2) < v,v < -\
1), u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2) <
z,z < (y-x)^(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, 3, 4], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-1 < x,x < 0), 
And(x < y,y < 0), z = (y-x)^(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, 3, 5], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2)
, And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(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, 10, 5, 1], [And(-2^(1/2) < v,v < -1), 
And((v^2-1)^(1/2) < u,u < -v), x = 1, And(1 < y,y < u^2-v^2+2), 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(1 < y,y < u^2-v^2+2), 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(1
< 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],
[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(1 < y,y < u^2-v^2+2)
, 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(1 < y,y < u^2-v^2+2), (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 = x-u^2+v^2+1, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [-\
16420051/16777216, -32840101/33554432], [0, 0]]]], [[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-1 < 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, 5, 1], [v =
-1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0, And(0 < y,y < u^2), z < -y^(1/2)],
[regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [0, 0], [
1297479/1048576, 1297479/1048576], [-3, -3]]]], [[4, 3, 6, 5, 2], [v = -1, And
(-3^(1/2) < u,u < -2^(1/2)), x = 0, And(0 < y,y < u^2), 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, 5, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0, And(0 < y,y < u^2
), 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, 5, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0, And(0 <
y,y < u^2), 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, 5, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2))
, x = 0, And(0 < y,y < u^2), y^(1/2) < z], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [0, 0], [1297479/1048576, 1297479/1048576]
, [3, 3]]]], [[4, 5, 1, 6, 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], [-3235683/2097152, -1617841/1048576], [-3, -3]]]], [[4, 5,
1, 6, 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], [-\
3235683/2097152, -1617841/1048576], [-1265743/1048576, -1265743/1048576]]]], [
[4, 5, 1, 6, 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], [-3235683/2097152, -1617841/1048576], [0, 0]]]], [[4, 5, 1, 6, 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], [-3235683/2097152
, -1617841/1048576], [1265743/1048576, 1265743/1048576]]]], [[4, 5, 1, 6, 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], [-\
3235683/2097152, -1617841/1048576], [3, 3]]]], [[4, 11, 7, 1, 1], [v = -1, And
(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y < x, z = z], [regular_chain, [[-1
, -1], [1265743/1048576, 1265743/1048576], [-569265/2097152, -569265/2097152],
[-2, -2], [0, 0]]]], [[4, 13, 1, 9, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)),
x < -u^2, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [3299097/
2097152, 3299097/2097152], [-4, -4], [1, 1], [-4, -4]]]], [[4, 13, 1, 9, 2], [
v = -1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-4, -4], [1, 1]
, [-146543/65536, -2344687/1048576]]]], [[4, 13, 1, 9, 3], [v = -1, And(2^(1/2
) < u,u < 3^(1/2)), x < -u^2, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-4, -4], [1, 1]
, [0, 0]]]], [[4, 13, 1, 9, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^
2, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 
3299097/2097152], [-4, -4], [1, 1], [2344687/1048576, 146543/65536]]]], [[4, 
13, 1, 9, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, 0 < y, (y-x)^(1
/2) < z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-4,
-4], [1, 1], [4, 4]]]], [[5, 1, 10, 2, 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, 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 <
0), z < -(y-x)^(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(x < y,y < 0), z = -
(y-x)^(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(x
< y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = 3, z < -3^(1/2)], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [0, 0], [3, 3], [-3, -3]]]], [[5, 12
, 6, 6, 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, 6, 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, 6, 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, 6, 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, 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 < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [3, 3], [31/4, 31/4], [19, 19], [-5, -5]]]], [[5, 13, 10, 7, 2], [
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 = -(y-
u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [31/4, 31/4], [19, 
19], [-3517031/1048576, -1758515/524288]]]], [[5, 13, 10, 7, 3], [And(-1 < v,v
< 0), (v^2+2)^(1/2) < u, x = u^2-v^2-1, 2*u^2-2*v^2 < y, And(-(y-u^2+v^2+1)^(1
/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [3, 3], [31/
4, 31/4], [19, 19], [0, 0]]]], [[5, 13, 10, 7, 4], [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 = (y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3, 3], [31/4, 31/4], [19, 19], [1758515/524288,
3517031/1048576]]]], [[5, 13, 10, 7, 5], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u
, x = u^2-v^2-1, 2*u^2-2*v^2 < y, (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[
-1/2, -1/2], [3, 3], [31/4, 31/4], [19, 19], [5, 5]]]], [[6, 5, 1, 2, 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, 2, 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, 2, 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, 3, 7, 1], [v = 0, u = 0, And(-1 < x,x < 0), x+1 < y, z
< -(y-x)^(1/2)], [regular_chain, [[0, 0], [0, 0], [-1/2, -1/2], [2, 2], [-3, -\
3]]]], [[6, 6, 3, 7, 2], [v = 0, u = 0, And(-1 < x,x < 0), x+1 < y, z = -(y-x)
^(1/2)], [regular_chain, [[0, 0], [0, 0], [-1/2, -1/2], [2, 2], [-3315889/
2097152, -207243/131072]]]], [[6, 6, 3, 7, 3], [v = 0, u = 0, And(-1 < x,x < 0
), x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [
0, 0], [-1/2, -1/2], [2, 2], [0, 0]]]], [[6, 6, 3, 7, 4], [v = 0, u = 0, And(-\
1 < x,x < 0), x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[0, 0], [0, 0], [-1/
2, -1/2], [2, 2], [207243/131072, 1657945/1048576]]]], [[6, 6, 3, 7, 5], [v =
0, u = 0, And(-1 < x,x < 0), x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[0, 0
], [0, 0], [-1/2, -1/2], [2, 2], [3, 3]]]], [[7, 1, 4, 9, 1], [And(0 < v,v < 1
), u < -(v^2+2)^(1/2), x = -1, u^2-v^2 < y, z < -(y+1)^(1/2)], [regular_chain,
[[1/2, 1/2], [-3, -3], [-1, -1], [10, 10], [-5, -5]]]], [[7, 1, 4, 9, 2], [And
(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -1, u^2-v^2 < y, z = -(y+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [-1, -1], [10, 10], [-1738867/524288, -\
3477733/1048576]]]], [[7, 1, 4, 9, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2),
x = -1, u^2-v^2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [
[1/2, 1/2], [-3, -3], [-1, -1], [10, 10], [0, 0]]]], [[7, 1, 4, 9, 4], [And(0
< v,v < 1), u < -(v^2+2)^(1/2), x = -1, u^2-v^2 < y, z = (y+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [-1, -1], [10, 10], [3477733/1048576, 
1738867/524288]]]], [[7, 1, 4, 9, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x
= -1, u^2-v^2 < y, (y+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3, -3], [-\
1, -1], [10, 10], [5, 5]]]], [[7, 2, 7, 1, 1], [And(0 < v,v < 1), u = -(v^2+2)
^(1/2), And(0 < x,x < 1), y < x-1, z = z], [regular_chain, [[1/2, 1/2], [-3/2,
-3/2], [1/2, 1/2], [-2, -2], [0, 0]]]], [[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 < x, z = z], [regular_chain, [
[1/2, 1/2], [0, 0], [-9/8, -9/8], [-3, -3], [0, 0]]]], [[7, 8, 6, 3, 1], [And(
0 < v,v < 1), u = v, x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[1/2, 1
/2], [1/2, 1/2], [1, 1], [1/2, 1/2], [0, 0]]]], [[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 = 1, z < 0], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [1, 1], [1, 1], [-\
1, -1]]]], [[7, 11, 10, 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, 10, 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, 4, 2, 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, 7, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x
, And(x < y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [2, 2], [3394631/1048576, 3394631/1048576], [-3, -\
3]]]], [[8, 3, 11, 7, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, And(x
< y,y < u^2+x), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304,
-6598195/4194304], [2, 2], [3394631/1048576, 3394631/1048576], [-145801/131072
, -1166407/1048576]]]], [[8, 3, 11, 7, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/
2)), 1 < x, And(x < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [2, 2], [3394631
/1048576, 3394631/1048576], [0, 0]]]], [[8, 3, 11, 7, 4], [v = 1, And(-3^(1/2)
< u,u < -2^(1/2)), 1 < x, And(x < y,y < u^2+x), z = (y-x)^(1/2)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [2, 2], [3394631
/1048576, 3394631/1048576], [1166407/1048576, 145801/131072]]]], [[8, 3, 11, 7
, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, And(x < y,y < u^2+x), (y-
x)^(1/2) < z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304],
[2, 2], [3394631/1048576, 3394631/1048576], [3, 3]]]], [[8, 5, 7, 3, 1], [v =
1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), And(x < y,y < 0), z < -(y-x
)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-\
569265/2097152, -569265/2097152], [-35579/262144, -35579/262144], [-2, -2]]]],
[[8, 5, 7, 3, 2], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), And(
x < y,y < 0), z = -(y-x)^(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, 3, 3], [v = 1, And(-
2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-569265/2097152, -569265/2097152], [-35579/262144, -35579/262144],
[0, 0]]]], [[8, 5, 7, 3, 4], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x
< 0), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = 1
, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), And(x < y,y < 0), (y-x)^(1/2
) < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-\
569265/2097152, -569265/2097152], [-35579/262144, -35579/262144], [2, 2]]]], [
[8, 12, 1, 3, 1], [v = 1, u = 2^(1/2), x < -2, And(x < y,y < x+2), z < -(y-x)^
(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3, -3], [
-2, -2], [-2, -2]]]], [[8, 12, 1, 3, 2], [v = 1, u = 2^(1/2), x < -2, And(x <
y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 
1482911/1048576], [-3, -3], [-2, -2], [-1, -1]]]], [[8, 12, 1, 3, 3], [v = 1,
u = 2^(1/2), x < -2, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3, -3], [-2, -\
2], [0, 0]]]], [[8, 12, 1, 3, 4], [v = 1, u = 2^(1/2), x < -2, And(x < y,y < x
+2), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/
1048576], [-3, -3], [-2, -2], [1, 1]]]], [[8, 12, 1, 3, 5], [v = 1, u = 2^(1/2
), x < -2, And(x < y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [
741455/524288, 1482911/1048576], [-3, -3], [-2, -2], [2, 2]]]], [[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, z <
-u], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [497805/
2097152, 497805/2097152], [710965/262144, 2843861/1048576], [-3, -3]]]], [[8,
13, 7, 8, 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], [710965/262144, 2843861/1048576], [-3299097/
2097152, -3299097/2097152]]]], [[8, 13, 7, 8, 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],
[710965/262144, 2843861/1048576], [-1/4194304, -1/4194304]]]], [[8, 13, 7, 8,
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], [710965/262144, 2843861/1048576], [412387/262144, 
1649549/1048576]]]], [[8, 13, 7, 8, 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], [710965/262144, 
2843861/1048576], [3, 3]]]], [[9, 2, 4, 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, 4, 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, 4,
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, 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 = 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [775271/1048576, 775271/1048576], [0, 0]
, [0, 0]]]], [[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 < x, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/
4194304, -3213833/4194304], [-2, -2], [0, 0]]]], [[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+4, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3, -3], [1, 1], [-5, -5], [0, 0]]]], [[10, 3, 1, 7, 1], [v = 2^(1/2), And(-2 <
u,u < -3^(1/2)), x < -u^2+1, And(u^2+x-1 < y,y < 0), z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-4, -4], [-3183369/4194304, -3183369/4194304], [-3, -3]]]], [[10, 3
, 1, 7, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, And(u^2+x-1 <
y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [-3913339/2097152, -3913339/2097152], [-4, -4], [-3183369/4194304, -3183369/
4194304], [-7550943/4194304, -3775471/2097152]]]], [[10, 3, 1, 7, 3], [v = 2^(
1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, And(u^2+x-1 < y,y < 0), And(-(y-x)
^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576
], [-3913339/2097152, -3913339/2097152], [-4, -4], [-3183369/4194304, -3183369
/4194304], [-1/4194304, -1/4194304]]]], [[10, 3, 1, 7, 4], [v = 2^(1/2), And(-\
2 < u,u < -3^(1/2)), x < -u^2+1, And(u^2+x-1 < y,y < 0), z = (y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-4, -4], [-3183369/4194304, -3183369/4194304], [1887735/1048576, 
235967/131072]]]], [[10, 3, 1, 7, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)),
x < -u^2+1, And(u^2+x-1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[741455
/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-4, -4], [-\
3183369/4194304, -3183369/4194304], [3, 3]]]], [[10, 9, 5, 2, 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, 10, 7, 7, 1], [v = 2^(1/2), u = 0, And(0 < x,x < 1), And(x < y,
y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [0, 0], [1/2, 1/2], [2, 2], [-3, -3]]]], [[10, 10, 7, 7, 2], [v = 2^(1/2), u
= 0, And(0 < x,x < 1), And(x < y,y < x+3), z = -(y-x)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [0, 0], [1/2, 1/2], [2, 2], [-1284239/
1048576, -642119/524288]]]], [[10, 10, 7, 7, 3], [v = 2^(1/2), u = 0, And(0 <
x,x < 1), And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [1/2, 1/2], [2, 2],
[0, 0]]]], [[10, 10, 7, 7, 4], [v = 2^(1/2), u = 0, And(0 < x,x < 1), And(x <
y,y < x+3), z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [0, 0], [1/2, 1/2], [2, 2], [642119/524288, 1284239/1048576]]]], [[10, 10,
7, 7, 5], [v = 2^(1/2), u = 0, And(0 < x,x < 1), And(x < y,y < x+3), (y-x)^(1/
2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [1/2, 1/2]
, [2, 2], [3, 3]]]], [[10, 15, 3, 1, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)),
And(-u^2+1 < x,x < -1), y < x, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-2594957/2097152, -\
2594957/2097152], [-3, -3], [0, 0]]]], [[10, 16, 6, 5, 1], [v = 2^(1/2), u = 3
^(1/2), x = 0, 2 < y, z < -y^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [908093/524288, 1816187/1048576], [0, 0], [3, 3], [-3, -3]]]], [[10,
16, 6, 5, 2], [v = 2^(1/2), u = 3^(1/2), x = 0, 2 < y, 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
, 5, 3], [v = 2^(1/2), u = 3^(1/2), x = 0, 2 < y, 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, 5, 4], [v
= 2^(1/2), u = 3^(1/2), x = 0, 2 < y, 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, 5, 5], [v = 2^(1/2), u = 3^(1
/2), x = 0, 2 < y, y^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [908093/524288, 1816187/1048576], [0, 0], [3, 3], [3, 3]]]], [[10, 
19, 7, 3, 1], [v = 2^(1/2), 2 < u, And(0 < x,x < 1), And(x-u^2+3 < y,y < 0), z
= z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [1/2, 1/2], [
-11/4, -11/4], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[3, 3], [-5, -5], [8
, 8], [8, 8], [-1, -1]]]], [[11, 1, 9, 6, 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, 6, 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, 6, 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], [197471/131072, 1579769/
1048576], [-2, -2]]]], [[11, 5, 10, 6, 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], [197471/131072, 1579769/
1048576], [-373161/524288, -1492643/2097152]]]], [[11, 5, 10, 6, 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], [197471/131072, 1579769/1048576], [-1/4194304, -1/
4194304]]]], [[11, 5, 10, 6, 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], [197471/131072, 1579769/1048576], [
746321/1048576, 373161/524288]]]], [[11, 5, 10, 6, 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], [197471/
131072, 1579769/1048576], [2, 2]]]], [[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(u^2-v^2+x+1 < y,y < x-u^
2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-516571/2097152, -516571/2097152], [1580581/2097152, 
1580581/2097152], [-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(u^2-v^2+x+1 < y,y < x-u^2+v^2+
1), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-516571/2097152, -516571/2097152], [1580581/2097152, 1580581/
2097152], [-1, -1]]]], [[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(u^2-v^2+x+1 < y,y < x-u^2+v^2+1), And
(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [1580581/
2097152, 1580581/2097152], [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(u^2-v^2+x+1 < y,y < x-
u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-516571/2097152, -516571/2097152], [1580581/2097152, 
1580581/2097152], [1, 1]]]], [[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(u^2-v^2+x+1 < y,y < x-u^2+v^2+1
), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-516571/2097152, -516571/2097152], [1580581/2097152, 1580581/
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 = x, z < 0], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [-1/2, -1/2], [-1/2, -1/2], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [-1/2, -1/2], [-1/2, -1/2], [0, 0]]]], [[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 = x, 0 < z],
[regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [-1/2
, -1/2], [1, 1]]]], [[11, 14, 9, 7, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), 1 < x
, x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821
/1048576], [2, 2], [5, 5], [-3, -3]]]], [[11, 14, 9, 7, 2], [2^(1/2) < v, u =
(v^2-1)^(1/2), 1 < x, x+2 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [
741455/262144, 2965821/1048576], [2, 2], [5, 5], [-1816187/1048576, -3632373/
2097152]]]], [[11, 14, 9, 7, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), 1 < x, x+2 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[11, 
14, 9, 7, 4], [2^(1/2) < v, u = (v^2-1)^(1/2), 1 < x, x+2 < y, z = (y-x)^(1/2)
], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [2, 2], [5, 5],
[908093/524288, 1816187/1048576]]]], [[11, 14, 9, 7, 5], [2^(1/2) < v, u = (v^
2-1)^(1/2), 1 < x, x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [741455
/262144, 2965821/1048576], [2, 2], [5, 5], [3, 3]]]], [[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(x-u
^2+v^2+1 < y,y < x), z = z], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [-1/2, -1/2], [-100263691/134217728, -100263691/134217728],
[0, 0]]]], [[11, 20, 7, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 5, 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 < -
(y+1)^(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(-u^2+v^2 < y,y < 0), z =
-(y+1)^(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(-u^2+v^2 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-u^2+v^2 < y,y < 0), z
= (y+1)^(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
(-u^2+v^2 < y,y < 0), (y+1)^(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 = x, z < 0], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-3, -3], [-3, -3], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [
[-3, -3], [-6111549/2097152, -6111549/2097152], [-3, -3], [-3, -3], [0, 0]]]],
[[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 = x, 0 < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152]
, [-3, -3], [-3, -3], [1, 1]]]], [[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(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(
-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+
1)^(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(-1 < y,y < 0), (y+1)^(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), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 
3315889/1048576], [1/2, 1/2], [4, 4], [-3, -3]]]], [[1, 18, 7, 7, 2], [v < -2^
(1/2), u = (v^2+1)^(1/2), And(0 < x,x < 1), x+2 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [1/2, 1/2], [4, 4],
[-7846825/4194304, -980853/524288]]]], [[1, 18, 7, 7, 3], [v < -2^(1/2), u = (
v^2+1)^(1/2), And(0 < x,x < 1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [1/2, 1/2], [4,
4], [0, 0]]]], [[1, 18, 7, 7, 4], [v < -2^(1/2), u = (v^2+1)^(1/2), And(0 < x,
x < 1), x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 
3315889/1048576], [1/2, 1/2], [4, 4], [980853/524288, 1961707/1048576]]]], [[1
, 18, 7, 7, 5], [v < -2^(1/2), u = (v^2+1)^(1/2), And(0 < x,x < 1), x+2 < y, (
y-x)^(1/2) < z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [
1/2, 1/2], [4, 4], [3, 3]]]], [[1, 20, 1, 3, 1], [v < -2^(1/2), u = (v^2+2)^(1
/2), x < -3, And(x-1 < y,y < x), z = z], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [-4, -4], [-9/2, -9/2], [0, 0]]]], [[2, 2, 9, 7, 1],
[v = -2^(1/2), u = -2, 1 < x, And(x < y,y < x+3), z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [2, 2], [7/2, 7/
2], [-3, -3]]]], [[2, 2, 9, 7, 2], [v = -2^(1/2), u = -2, 1 < x, And(x < y,y <
x+3), z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-2, -2], [2, 2], [7/2, 7/2], [-1284239/1048576, -642119/524288]]]], [[2, 2, 9
, 7, 3], [v = -2^(1/2), u = -2, 1 < x, And(x < y,y < x+3), And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-2,
-2], [2, 2], [7/2, 7/2], [0, 0]]]], [[2, 2, 9, 7, 4], [v = -2^(1/2), u = -2, 1
< x, And(x < y,y < x+3), z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-2, -2], [2, 2], [7/2, 7/2], [642119/524288, 1284239/1048576
]]]], [[2, 2, 9, 7, 5], [v = -2^(1/2), u = -2, 1 < x, And(x < y,y < x+3), (y-x
)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [
2, 2], [7/2, 7/2], [3, 3]]]], [[2, 4, 3, 3, 1], [v = -2^(1/2), u = -3^(1/2), 
And(-2 < x,x < -1), And(x < y,y < 0), z < -(y-x)^(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, 3, 2], [v = -2^(1/2), u = -3^(1/2
), And(-2 < x,x < -1), And(x < y,y < 0), z = -(y-x)^(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, 3,
3], [v = -2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), And(-(y
-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [v = -2^(1/2), u = -3^(1/2), And(-\
2 < x,x < -1), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = -2^(1
/2), u = -3^(1/2), And(-2 < x,x < -1), And(x < y,y < 0), (y-x)^(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, 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], [239655/524288, 479311/1048576], [-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], [239655/524288, 479311/1048576], [-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]
, [239655/524288, 479311/1048576], [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]
, [239655/524288, 479311/1048576], [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], [239655/524288, 479311/1048576], [2, 2]]]], [[2, 9,
3, 5, 1], [v = -2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), And(x < y,y
< 0), z < -(y-x)^(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(x < y,y < 0), z =
-(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^
(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(0 < y,y < -u^2+2), z < -(y+1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-1, -1], [569265/2097152, 569265/2097152], [-3, -3]]]], [[2, 13, 4,
7, 2], [v = -2^(1/2), And(1 < u,u < -v), x = -1, And(0 < y,y < -u^2+2), z = -(
y+1)^(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, 7, 3], [v = -2^(1/2), And(1 <
u,u < -v), x = -1, And(0 < y,y < -u^2+2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2)
)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 
1265743/1048576], [-1, -1], [569265/2097152, 569265/2097152], [0, 0]]]], [[2,
13, 4, 7, 4], [v = -2^(1/2), And(1 < u,u < -v), x = -1, And(0 < y,y < -u^2+2),
z = (y+1)^(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, 7, 5], [v = -2^(1/2), And(1 <
u,u < -v), x = -1, And(0 < y,y < -u^2+2), (y+1)^(1/2) < z], [regular_chain, [[
-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-1, -1
], [569265/2097152, 569265/2097152], [3, 3]]]], [[2, 15, 1, 4, 1], [v = -2^(1/
2), And(-v < u,u < 3^(1/2)), x < -u^2+1, y = x-u^2+3, z < -(-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-3, -3], [-1297479/524288, -2594957/1048576], [-2, -2]]]], [[2, 15,
1, 4, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, y = x-u^2+3, z =
-(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-3, -3], [-1297479/524288, -2594957/
1048576], [-1519901/2097152, -379975/524288]]]], [[2, 15, 1, 4, 3], [v = -2^(1
/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, y = x-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], [-3, -3], [-1297479/524288, -2594957/
1048576], [0, 0]]]], [[2, 15, 1, 4, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2))
, x < -u^2+1, y = x-u^2+3, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-3, -3], [-\
1297479/524288, -2594957/1048576], [379975/524288, 759951/1048576]]]], [[2, 15
, 1, 4, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, y = x-u^2+3, (
-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-3, -3], [-1297479/524288, -2594957/
1048576], [2, 2]]]], [[3, 1, 8, 5, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)
^(1/2), x = 1, And(0 < y,y < 1), 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 = 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],
[-3190373/2097152, -797593/524288], [-3, -3]]]], [[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
= 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], [-3190373/
2097152, -797593/524288], [-3301741/2097152, -825435/524288]]]], [[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 = u^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], [-3190373/2097152, -797593/524288], [0, 0]]]], [
[3, 3, 1, 6, 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], [-3190373/2097152, -797593/524288], [825435/
524288, 1650871/1048576]]]], [[3, 3, 1, 6, 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], [-3190373/2097152, -797593/
524288], [3, 3]]]], [[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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-4, -4], [-\
11624291/4194304, -11624291/4194304], [-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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [-4, -4], [-11624291/4194304, -11624291/
4194304], [-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(
x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [0, 0], [-4, -4], [-11624291/4194304,
-11624291/4194304], [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(x < y,y < x-u^2+
v^2+1), z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [0, 0], [-4, -4], [-11624291/4194304, -11624291/4194304], [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(x < y,y < x-u^2+v^2+1), (y-x
)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [
-4, -4], [-11624291/4194304, -11624291/4194304], [3, 3]]]], [[4, 1, 1, 4, 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, 4, 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, 4, 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, 3, 5, 1], [v = -1, u = -3^(1/2), And(-3 < x,x < -1), And(x < y,
y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z
= (y-x)^(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(x < y,y < 0), (y-x)^(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 = x+1, z < -1], [regular_chain,
[[-1, -1], [-1, -1], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[4, 6, 5, 6, 2], [v
= -1, u = -1, And(0 < x,x < 1), y = x+1, z = -1], [regular_chain, [[-1, -1], [
-1, -1], [1/2, 1/2], [3/2, 3/2], [-1, -1]]]], [[4, 6, 5, 6, 3], [v = -1, u = -\
1, And(0 < x,x < 1), y = x+1, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [
-1, -1], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[4, 6, 5, 6, 4], [v = -1, u = -1,
And(0 < x,x < 1), y = x+1, z = 1], [regular_chain, [[-1, -1], [-1, -1], [1/2,
1/2], [3/2, 3/2], [1, 1]]]], [[4, 6, 5, 6, 5], [v = -1, u = -1, And(0 < x,x <
1), y = x+1, 1 < z], [regular_chain, [[-1, -1], [-1, -1], [1/2, 1/2], [3/2, 3/
2], [2, 2]]]], [[4, 8, 1, 2, 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,
2, 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, 2, 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, 5, 1, 1], [v = -1, u = 3^(1/2), And(-1 < x,x < 0), y < x-1, z = z], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1/2, -1/2], [-3,
-3], [0, 0]]]], [[4, 15, 9, 2, 1], [v = -1, 3^(1/2) < u, And(1 < x,x < u^2-2),
y = x-u^2+2, z = z], [regular_chain, [[-1, -1], [3, 3], [4, 4], [-3, -3], [0,
0]]]], [[5, 4, 7, 7, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(0 < x,x <
1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072
, -1172343/1048576], [1/2, 1/2], [4, 4], [-3, -3]]]], [[5, 4, 7, 7, 2], [And(-\
1 < v,v < 0), u = -(v^2+1)^(1/2), And(0 < x,x < 1), x+2 < y, z = -(y-x)^(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, 7, 3], [And(-1 <
v,v < 0), u = -(v^2+1)^(1/2), And(0 < x,x < 1), x+2 < y, And(-(y-x)^(1/2) < z,
z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/
1048576], [1/2, 1/2], [4, 4], [0, 0]]]], [[5, 4, 7, 7, 4], [And(-1 < v,v < 0),
u = -(v^2+1)^(1/2), And(0 < x,x < 1), x+2 < y, z = (y-x)^(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, 7, 5], [And(-1 < v,v <
0), u = -(v^2+1)^(1/2), And(0 < x,x < 1), x+2 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [1/2, 1/2],
[4, 4], [3, 3]]]], [[5, 6, 1, 3, 1], [And(-1 < v,v < 0), u = v, x < -1, And(x
< y,y < x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2],
[-2, -2], [-3/2, -3/2], [-2, -2]]]], [[5, 6, 1, 3, 2], [And(-1 < v,v < 0), u =
v, x < -1, And(x < y,y < x+1), z = -(y-x)^(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, 3, 3], [And(-1 < v,v < 0), u = v, x < -1, And(x < y,y < x+1), 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1/2,
-1/2], [-2, -2], [-3/2, -3/2], [0, 0]]]], [[5, 6, 1, 3, 4], [And(-1 < v,v < 0)
, u = v, x < -1, And(x < y,y < x+1), z = (y-x)^(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, 3, 5], [And(-1 < v,v < 0), u = v, x < -1, And(x < y,y < x+1), (y-x)
^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2], [-3/2, -3/
2], [2, 2]]]], [[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 < 0, z = z], [regular_chain, [[-1/2, -1/2], [1696631
/2097152, 1696631/2097152], [1/2, 1/2], [-1, -1], [0, 0]]]], [[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 < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [343151/262144, 343151/262144], [-1815885/1048576, -1815885/1048576], [2, 2]
, [-3, -3]]]], [[5, 11, 3, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)
^(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, 9, 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), u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [-1815885/1048576, -1815885/1048576], [2, 2], [
3, 3]]]], [[6, 1, 11, 9, 1], [v = 0, u < -2^(1/2), u^2-1 < x, u^2+x+1 < y, z <
-(y-x)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [9, 9], [20, 20], [-5, -5]]]
], [[6, 1, 11, 9, 2], [v = 0, u < -2^(1/2), u^2-1 < x, u^2+x+1 < y, z = -(y-x)
^(1/2)], [regular_chain, [[0, 0], [-3, -3], [9, 9], [20, 20], [-1738867/524288
, -3477733/1048576]]]], [[6, 1, 11, 9, 3], [v = 0, u < -2^(1/2), u^2-1 < x, u^
2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [-\
3, -3], [9, 9], [20, 20], [0, 0]]]], [[6, 1, 11, 9, 4], [v = 0, u < -2^(1/2),
u^2-1 < x, u^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [
9, 9], [20, 20], [3477733/1048576, 1738867/524288]]]], [[6, 1, 11, 9, 5], [v =
0, u < -2^(1/2), u^2-1 < x, u^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[0
, 0], [-3, -3], [9, 9], [20, 20], [5, 5]]]], [[6, 3, 5, 1, 1], [v = 0, And(-2^
(1/2) < u,u < -1), And(-1 < x,x < 0), y < x-u^2+1, z = z], [regular_chain, [[0
, 0], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [-2, -2], [0, 0]]]],
[[6, 9, 9, 2, 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]]]], [[6, 11, 2, 1, 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], [-19, -19], [0, 0]]]], [[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(0 < y,y < -u^2+v^2+2), z = z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [1, 1], [562533/
2097152, 562533/2097152], [0, 0]]]], [[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 = x, z < 0], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1672995/
2097152, -1672995/2097152], [-1672995/2097152, -1672995/2097152], [-1, -1]]]],
[[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 = x, z = 0], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152], [-1672995/
2097152, -1672995/2097152], [0, 0]]]], [[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 = x, 0 < z], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1672995/
2097152, -1672995/2097152], [-1672995/2097152, -1672995/2097152], [1, 1]]]], [
[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 = 0, z = z], [regular_chain, [[1, 1], [-1816187
/1048576, -3632373/2097152], [2, 2], [0, 0], [0, 0]]]], [[8, 7, 4, 5, 1], [v =
1, And(-1 < u,u < 0), x = -1, And(u^2-1 < y,y < 0), z < -(y+1)^(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(u^2-1 < y,y < 0), z = -(
y+1)^(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(u^2-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(u^2-1 < y,y < 0), z = (y+1
)^(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(u^2-1 < y,y < 0), (y+1)^(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 = 3, z < -2^(1/2)], [regular_chain, [[1, 1], [0, 0], [1, 1], [3, 3],
[-3, -3]]]], [[8, 8, 8, 6, 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, 6, 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, 6, 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, 6,
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, 15, 1, 3, 1], [v = 1, 3^(1/2) < u, x < -u^2,
And(x-u^2+2 < y,y < x), z = z], [regular_chain, [[1, 1], [3, 3], [-10, -10], [
-27/2, -27/2], [0, 0]]]], [[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 < -(u^2-v^2+1)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10006449/
2097152, -10006449/2097152], [494331/131072, 3954649/1048576], [-4, -4]]]], [[
9, 1, 3, 8, 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],
[494331/131072, 3954649/1048576], [-1532401/524288, -24518415/8388608]]]], [[9
, 1, 3, 8, 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], [494331/131072, 3954649/1048576], [-7/16777216, -\
7/16777216]]]], [[9, 1, 3, 8, 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], [494331/131072, 3954649/1048576], [3064801/
1048576, 1532401/524288]]]], [[9, 1, 3, 8, 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], [494331/131072, 3954649/1048576], [4, 4]]]], [[9,
5, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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(x-u^2+v^2+1 < y
,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-3949363/4194304, -3949363/4194304], [-3, -3], [-749473/1048576, -749473/
1048576], [-3, -3]]]], [[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(x-u^2+v^2+1 < y,y < 0), z = -(y-x)^(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, 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(x-u^2+v^2+1 < y,y < 0), And(-(y-x)^(1/2)
< z,z < (y-x)^(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, 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(x-u^2+v^2+1 < y,y < 0),
z = (y-x)^(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, 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(x-u^2+v^2+1 < y,y
< 0), (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-3949363/4194304, -3949363/4194304], [-3, -3], [-749473/1048576, -749473/
1048576], [3, 3]]]], [[9, 10, 1, 3, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(
1/2), x < -2, And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[1265743
/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-3, -3], [-2, -2
], [-2, -2]]]], [[9, 10, 1, 3, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2),
x < -2, And(x < y,y < x+2), z = -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-3, -3], [-2, -2]
, [-1, -1]]]], [[9, 10, 1, 3, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2),
x < -2, And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-3, -3], [-2, -2], [0, 0]]]], [[9, 10, 1, 3, 4], [And(1 < v,v < 2^(
1/2)), u = (v^2-1)^(1/2), x < -2, And(x < y,y < x+2), z = (y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-3, -3], [-2, -2], [1, 1]]]], [[9, 10, 1, 3, 5], [And(1 < v,v < 2^(
1/2)), u = (v^2-1)^(1/2), x < -2, And(x < y,y < x+2), (y-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-3, -3], [-2, -2], [2, 2]]]], [[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-u^2+v^2+
1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-450371/2097152, -450371/2097152]
, [1421595/1048576, 355399/262144], [-3, -3]]]], [[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-
u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-450371/2097152, -450371/
2097152], [1421595/1048576, 355399/262144], [-1314069/1048576, -328517/262144]
]]], [[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-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], [-450371/2097152, -450371/2097152], [1421595/
1048576, 355399/262144], [0, 0]]]], [[9, 11, 7, 8, 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 = x-u^2+v^2+1, z
= (-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-450371/2097152, -450371/2097152], [1421595/
1048576, 355399/262144], [328517/262144, 1314069/1048576]]]], [[9, 11, 7, 8, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-450371/2097152,
-450371/2097152], [1421595/1048576, 355399/262144], [3, 3]]]], [[9, 16, 1, 2,
1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x < -3, y = x-1, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-4, -4], [-5, -5], [0, 0]]]], [[9, 17, 5, 7, 1], [And(1 < v,v < 2^(
1/2)), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), z < -
(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1
/2, -1/2], [8433585/2097152, 8433585/2097152], [-4, -4]]]], [[9, 17, 5, 7, 2],
[And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < u
^2-v^2+x+1), z = -(y-x)^(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, 7, 3], [And(1 < v,v < 2^(1/2)), (v^2
+2)^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [3
, 3], [-1/2, -1/2], [8433585/2097152, 8433585/2097152], [0, 0]]]], [[9, 17, 5,
7, 4], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(0 <
y,y < u^2-v^2+x+1), z = (y-x)^(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, 7, 5], [And(1 < v,v < 2^(1/2))
, (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), (y-x)^(1/2
) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1/2, -1
/2], [8433585/2097152, 8433585/2097152], [4, 4]]]], [[10, 6, 1, 4, 1], [v = 2^
(1/2), u = -v, x < -1, y = x+1, 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 = x+1, 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 = x+1, 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 = x+1, 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 = x+1, 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(u^2+x-1 < y,y <
x-u^2+3), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [
[10, 7, 9, 7, 2], [v = 2^(1/2), And(-v < u,u < -1), And(0 < x,x < 1), And(u^2+
x-1 < y,y < x-u^2+3), z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [3/2, 3/2]
, [-1, -1]]]], [[10, 7, 9, 7, 3], [v = 2^(1/2), And(-v < u,u < -1), And(0 < x,
x < 1), And(u^2+x-1 < y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743
/1048576], [1/2, 1/2], [3/2, 3/2], [0, 0]]]], [[10, 7, 9, 7, 4], [v = 2^(1/2),
And(-v < u,u < -1), And(0 < x,x < 1), And(u^2+x-1 < y,y < x-u^2+3), z = (y-x)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576,
-1265743/1048576], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[10, 7, 9, 7, 5], [v =
2^(1/2), And(-v < u,u < -1), And(0 < x,x < 1), And(u^2+x-1 < y,y < x-u^2+3), (
y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[10, 11, 10, 5
, 1], [v = 2^(1/2), And(0 < u,u < 1), x = 1, And(u^2 < y,y < 1), 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-u^2+3, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-1527887/
2097152, -1527887/2097152], [853897/1048576, 426949/524288], [-3, -3]]]], [[10
, 13, 5, 8, 2], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+1), y = x-
u^2+3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [
853897/1048576, 426949/524288], [-1302471/1048576, -651235/524288]]]], [[10, 
13, 5, 8, 3], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+1), y = x-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], [-1527887/
2097152, -1527887/2097152], [853897/1048576, 426949/524288], [0, 0]]]], [[10,
13, 5, 8, 4], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+1), y = x-u^
2+3, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [
853897/1048576, 426949/524288], [651235/524288, 1302471/1048576]]]], [[10, 13,
5, 8, 5], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+1), y = x-u^2+3,
(-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [
853897/1048576, 426949/524288], [3, 3]]]], [[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(x
< y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)
^(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(x < y,y < 0), 
And(-(y-x)^(1/2) < z,z < (y-x)^(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
(x < y,y < 0), z = (y-x)^(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(x
< y,y < 0), (y-x)^(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 = z], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-7357527/
4194304, -7357527/4194304], [-1186209/524288, -2372417/1048576], [0, 0]]]], [[
11, 10, 5, 5, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-1 < x,x < 0), And(x <
y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y
-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z
< (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1)
, 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(0 < y,
y < 1), 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(0 < y,y < 1), 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-u^2+v^2+1 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [2, 2], [3, 3], [-2, -\
2]]]], [[11, 17, 11, 7, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 1 < x,
And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[3,
3], [403851/131072, 403851/131072], [2, 2], [3, 3], [-1, -1]]]], [[11, 17, 11,
7, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(x-u^2+v^2+1 < y,
y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3,
3], [403851/131072, 403851/131072], [2, 2], [3, 3], [0, 0]]]], [[11, 17, 11, 7
, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(x-u^2+v^2+1 < y,y
< u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [2, 2], [3, 3], [1, 1]]]], [[11, 17, 11, 7, 5], [2^(1/2) < v,
And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), (y-
x)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [2, 2]
, [3, 3], [2, 2]]]], [[1, 2, 4, 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, 4, 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, 4, 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
, 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 < 2*u^2-2*v^2), z < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [129511/262144
, 518045/1048576], [3651285/2097152, 3651285/2097152], [-3, -3]]]], [[1, 3, 8,
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^2-1 < y,y < 2*u^2-2*v^2), z = -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [129511/262144
, 518045/1048576], [3651285/2097152, 3651285/2097152], [-1170947/1048576, -\
585473/524288]]]], [[1, 3, 8, 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^2-1 < y,y < 2*u^2-2*v^2), And(-(y-u^
2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [129511/262144, 518045/1048576], [3651285/
2097152, 3651285/2097152], [0, 0]]]], [[1, 3, 8, 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^2-1 < y,y < 2*u^
2-2*v^2), z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [129511/262144, 518045/1048576], [3651285/2097152,
3651285/2097152], [585473/524288, 1170947/1048576]]]], [[1, 3, 8, 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
^2-1 < y,y < 2*u^2-2*v^2), (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3]
, [-3396811/1048576, -3396811/1048576], [129511/262144, 518045/1048576], [
3651285/2097152, 3651285/2097152], [3, 3]]]], [[1, 8, 2, 5, 1], [v < -2^(1/2),
u = -(v^2-1)^(1/2), x = -2, 0 < y, z < -(y+2)^(1/2)], [regular_chain, [[-3, -3
], [-2965821/1048576, -11863283/4194304], [-2, -2], [1, 1], [-3, -3]]]], [[1,
8, 2, 5, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -2, 0 < y, z = -(y+2)^(1/2
)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-2, -2]
, [1, 1], [-1816187/1048576, -3632373/2097152]]]], [[1, 8, 2, 5, 3], [v < -2^(
1/2), u = -(v^2-1)^(1/2), x = -2, 0 < y, And(-(y+2)^(1/2) < z,z < (y+2)^(1/2))
], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-2, -2],
[1, 1], [-1/4194304, -1/4194304]]]], [[1, 8, 2, 5, 4], [v < -2^(1/2), u = -(v^
2-1)^(1/2), x = -2, 0 < y, z = (y+2)^(1/2)], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [-2, -2], [1, 1], [908093/524288, 1816187
/1048576]]]], [[1, 8, 2, 5, 5], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -2, 0 <
y, (y+2)^(1/2) < z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [-2, -2], [1, 1], [3, 3]]]], [[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], [533035/1048576, 133259/262144], [-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], [533035/1048576, 133259/
262144], [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
], [533035/1048576, 133259/262144], [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 < -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], [133001/262144, 133001/
262144], [-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 < -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], [133001/262144, 133001/262144], [-8796092106889/
8796093022208, -1099511513361/1099511627776]]]], [[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 < -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],
[133001/262144, 133001/262144], [-934161/2199023255552, -934161/2199023255552]
]]], [[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 < -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], [133001/262144, 133001/262144], [1048575/1048576, 1]]]], [[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 < -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], [133001/
262144, 133001/262144], [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 = x-u^2+v^2+1, z < -(-u^2+
v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-\
2614535/2097152, -2614535/2097152], [-776075/1048576, -1552149/2097152], [-2,
-2]]]], [[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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-2614535/2097152, -\
2614535/2097152], [-776075/1048576, -1552149/2097152], [-373161/524288, -\
1492643/2097152]]]], [[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 = x-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], [-2614535/2097152, -2614535/2097152], [-776075/1048576, -1552149/
2097152], [-1/4194304, -1/4194304]]]], [[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 = x-u^2+v^2+1, z = (-u
^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [
-2614535/2097152, -2614535/2097152], [-776075/1048576, -1552149/2097152], [
746321/1048576, 373161/524288]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1
)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-\
2614535/2097152, -2614535/2097152], [-776075/1048576, -1552149/2097152], [2, 2
]]]], [[1, 21, 4, 6, 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, 6, 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, 6
, 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, 6,
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, 6, 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, 5, 1], [v = -2^(1/2), u < -2, x = 0,
And(0 < y,y < u^2-1), z < -y^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [0, 0], [4, 4], [-3, -3]]]], [[2, 1, 6, 5, 2], [v =
-2^(1/2), u < -2, x = 0, And(0 < y,y < u^2-1), z = -y^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-3, -3], [0, 0], [4, 4], [-2, -2]]]], [[
2, 1, 6, 5, 3], [v = -2^(1/2), u < -2, x = 0, And(0 < y,y < u^2-1), 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, 5, 4], [v = -2^(1/2), u < -2, x =
0, And(0 < y,y < u^2-1), z = y^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [0, 0], [4, 4], [2, 2]]]], [[2, 1, 6, 5, 5], [v = -2
^(1/2), u < -2, x = 0, And(0 < y,y < u^2-1), y^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [0, 0], [4, 4], [3, 3]]]], [[2, 10
, 6, 3, 1], [v = -2^(1/2), u = 0, x = 0, And(-1 < y,y < 0), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [0, 0], [-1/2, -1/
2], [0, 0]]]], [[2, 11, 10, 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, 10, 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, 10, 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, 16, 5, 3, 1], [v = -2^(1/
2), u = 3^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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, 3, 2], [v = -2^
(1/2), u = 3^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v =
-2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2) <
z,z < (y-x)^(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, 3, 4], [v = -2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), And(x < y,y < 0),
z = (y-x)^(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, 3, 5], [v = -2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), (y-
x)^(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, 10,
5, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 1, And(-u^2+4 < y,y < 1), 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+2), z < -(y-x)^(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, 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+2), z = -(y-x)^(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, 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+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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+2), z = (y-x)^(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, 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+2), (y-x)^(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, 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+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], [2, 2], [-2, -2]]]], [[3, 5, 10, 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+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], [2, 2], [-1, -1]]]], [
[3, 5, 10, 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+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], [2, 2], [0, 0]]]], [[3, 5, 10, 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+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], [2, 2], [1, 1]]]], [[3, 5, 10
, 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+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], [2,
2], [2, 2]]]], [[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 = 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], [1498947
/1048576, 374737/262144], [-2, -2]]]], [[3, 11, 10, 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+2, z = -(u^2-v^2+1)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576,
987341/1048576], [1, 1], [1498947/1048576, 374737/262144], [-1374407/2097152,
-687203/1048576]]]], [[3, 11, 10, 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+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], [1498947/1048576, 374737/262144], [0,
0]]]], [[3, 11, 10, 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+2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [1, 1],
[1498947/1048576, 374737/262144], [687203/1048576, 171801/262144]]]], [[3, 11,
10, 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+2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [1, 1], [1498947/1048576,
374737/262144], [2, 2]]]], [[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(x-u^2+v^2+1 < y,y
< x), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/
524288, 898327/524288], [-1/2, -1/2], [-49617317/67108864, -49617317/67108864]
, [0, 0]]]], [[3, 16, 7, 4, 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, 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(x-u^2+2 < y,y < u^2+x), z < -(y-x)
^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3,
-3], [-8388607/4194304, -8388607/4194304], [-3, -3]]]], [[4, 5, 1, 5, 2], [v =
-1, And(-2^(1/2) < u,u < -1), x < -u^2, And(x-u^2+2 < y,y < u^2+x), z = -(y-x)
^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3,
-3], [-8388607/4194304, -8388607/4194304], [-1048577/1048576, -1]]]], [[4, 5,
1, 5, 3], [v = -1, And(-2^(1/2) < u,u < -1), x < -u^2, And(x-u^2+2 < y,y < u^2
+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-3, -3], [-8388607/4194304, -8388607/
4194304], [0, 0]]]], [[4, 5, 1, 5, 4], [v = -1, And(-2^(1/2) < u,u < -1), x <
-u^2, And(x-u^2+2 < y,y < u^2+x), z = (y-x)^(1/2)], [regular_chain, [[-1, -1],
[-1265743/1048576, -1265743/1048576], [-3, -3], [-8388607/4194304, -8388607/
4194304], [1, 1048577/1048576]]]], [[4, 5, 1, 5, 5], [v = -1, And(-2^(1/2) < u
,u < -1), x < -u^2, And(x-u^2+2 < y,y < u^2+x), (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3, -3], [-\
8388607/4194304, -8388607/4194304], [3, 3]]]], [[4, 11, 7, 2, 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],
[-284633/1048576, -35579/131072], [-1, -1]]]], [[4, 11, 7, 2, 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],
[-284633/1048576, -35579/131072], [0, 0]]]], [[4, 11, 7, 2, 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], [-\
284633/1048576, -35579/131072], [1, 1]]]], [[4, 13, 2, 1, 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], [
-4, -4], [0, 0]]]], [[5, 1, 10, 1, 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], [-1, -1], [0, 0]]]], [[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 = 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, 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], [-1815885/1048576, -1815885/1048576], [-\
1815885/1048576, -1815885/1048576], [0, 0]]]], [[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 = 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, 7, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 0, 3
< y, z < -y^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [0, 0], [4, 4],
[-3, -3]]]], [[5, 12, 6, 7, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 0,
3 < y, z = -y^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [0, 0], [4, 4
], [-2, -2]]]], [[5, 12, 6, 7, 3], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x =
0, 3 < y, 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, 7, 4], [And(-1 < v,v < 0), u = (v
^2+2)^(1/2), x = 0, 3 < y, z = y^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2,
3/2], [0, 0], [4, 4], [2, 2]]]], [[5, 12, 6, 7, 5], [And(-1 < v,v < 0), u = (v
^2+2)^(1/2), x = 0, 3 < y, y^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3/2,
3/2], [0, 0], [4, 4], [3, 3]]]], [[5, 13, 11, 1, 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], [-1, -1], [0, 0]]]], [[6, 5, 1, 1, 1], [v = 0, And(-1 < u,u < 0),
x < -u^2-1, y < x, z = z], [regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [-\
4, -4], [0, 0]]]], [[6, 6, 3, 6, 1], [v = 0, u = 0, And(-1 < x,x < 0), y = x+1
, z < -1], [regular_chain, [[0, 0], [0, 0], [-1/2, -1/2], [1/2, 1/2], [-2, -2]
]]], [[6, 6, 3, 6, 2], [v = 0, u = 0, And(-1 < x,x < 0), y = x+1, z = -1], [
regular_chain, [[0, 0], [0, 0], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[6, 6,
3, 6, 3], [v = 0, u = 0, And(-1 < x,x < 0), y = x+1, And(-1 < z,z < 1)], [
regular_chain, [[0, 0], [0, 0], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[6, 6, 3
, 6, 4], [v = 0, u = 0, And(-1 < x,x < 0), y = x+1, z = 1], [regular_chain, [[
0, 0], [0, 0], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[6, 6, 3, 6, 5], [v = 0,
u = 0, And(-1 < x,x < 0), y = x+1, 1 < z], [regular_chain, [[0, 0], [0, 0], [-\
1/2, -1/2], [1/2, 1/2], [2, 2]]]], [[7, 1, 5, 1, 1], [And(0 < v,v < 1), u < -(
v^2+2)^(1/2), And(-1 < x,x < 0), y < x-u^2+v^2+1, z = z], [regular_chain, [[1/
2, 1/2], [-3, -3], [-1/2, -1/2], [-10, -10], [0, 0]]]], [[7, 2, 7, 2, 1], [And
(0 < v,v < 1), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y = x-1, z = z], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]],
[[7, 7, 2, 7, 1], [And(0 < v,v < 1), And(-v < u,u < v), x = u^2-v^2-1, 0 < y,
z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-5/4, -5/4],
[1, 1], [-3, -3]]]], [[7, 7, 2, 7, 2], [And(0 < v,v < 1), And(-v < u,u < v), x
= u^2-v^2-1, 0 < y, z = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0
, 0], [-5/4, -5/4], [1, 1], [-3/2, -3/2]]]], [[7, 7, 2, 7, 3], [And(0 < v,v <
1), And(-v < u,u < v), x = u^2-v^2-1, 0 < y, And(-(y-u^2+v^2+1)^(1/2) < z,z <
(y-u^2+v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [-5/4, -5/4], [1,
1], [0, 0]]]], [[7, 7, 2, 7, 4], [And(0 < v,v < 1), And(-v < u,u < v), x = u^2
-v^2-1, 0 < y, z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0],
[-5/4, -5/4], [1, 1], [3/2, 3/2]]]], [[7, 7, 2, 7, 5], [And(0 < v,v < 1), And(
-v < u,u < v), x = u^2-v^2-1, 0 < y, (y-u^2+v^2+1)^(1/2) < z], [regular_chain,
[[1/2, 1/2], [0, 0], [-5/4, -5/4], [1, 1], [3, 3]]]], [[7, 8, 6, 2, 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, 5, 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 = 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 = z], [regular_chain, [[1/2, 1/2], [3,
3], [-1, -1], [-10, -10], [0, 0]]]], [[8, 3, 11, 8, 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], [2346055/524288, 4692111/1048576], [-3, -3
]]]], [[8, 3, 11, 8, 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], [2346055/524288, 4692111/1048576], [-1649549/1048576, -3299097/2097152]]
]], [[8, 3, 11, 8, 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], [2346055/524288, 4692111/1048576], [-1/4194304, -1/4194304]]
]], [[8, 3, 11, 8, 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], [2346055/524288, 4692111/1048576], [412387/262144, 1649549/1048576]]]], [[
8, 3, 11, 8, 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], [
2346055/524288, 4692111/1048576], [3, 3]]]], [[8, 5, 7, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 1, 2, 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, 2, 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
, 2, 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, 7, 7
, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), And(x < y,y
< u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [497805/2097152, 497805/2097152], [3092763/2097152, 3092763/
2097152], [-3, -3]]]], [[8, 13, 7, 7, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2))
, And(0 < x,x < u^2-2), And(x < y,y < u^2+x), z = -(y-x)^(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, 7, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(0 <
x,x < u^2-2), And(x < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [497805/2097152, 
497805/2097152], [3092763/2097152, 3092763/2097152], [0, 0]]]], [[8, 13, 7, 7,
4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), And(x < y,y <
u^2+x), z = (y-x)^(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, 7, 5], [v = 1, And(2^(1/2)
< u,u < 3^(1/2)), And(0 < x,x < u^2-2), And(x < y,y < u^2+x), (y-x)^(1/2) < z]
, [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [497805/2097152
, 497805/2097152], [3092763/2097152, 3092763/2097152], [3, 3]]]], [[9, 2, 4, 5
, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -1, And(-1 < y,y < 0),
z < -(y+1)^(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(-1 < y,y
< 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 <
y,y < 0), (y+1)^(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(0 < y,y < x-u^2+v^2+1), 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, 9, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u <
(v^2+1)^(1/2)), x = -1, u^2-v^2 < y, z < -(y+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1
], [2, 2], [-3, -3]]]], [[9, 13, 4, 9, 2], [And(1 < v,v < 2^(1/2)), And(v < u,
u < (v^2+1)^(1/2)), x = -1, u^2-v^2 < y, z = -(y+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1
], [2, 2], [-1816187/1048576, -3632373/2097152]]]], [[9, 13, 4, 9, 3], [And(1
< v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -1, u^2-v^2 < y, And(-(y+1
)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [2, 2], [-1/4194304, -\
1/4194304]]]], [[9, 13, 4, 9, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+
1)^(1/2)), x = -1, u^2-v^2 < y, z = (y+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [2, 2
], [908093/524288, 1816187/1048576]]]], [[9, 13, 4, 9, 5], [And(1 < v,v < 2^(1
/2)), And(v < u,u < (v^2+1)^(1/2)), x = -1, u^2-v^2 < y, (y+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-1, -1], [2, 2], [3, 3]]]], [[9, 14, 9, 3, 1], [And(1 < v,v < 2^(1/
2)), u = (v^2+1)^(1/2), 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [2, 2], [
1, 1], [0, 0]]]], [[10, 1, 8, 3, 1], [v = 2^(1/2), u < -2, x = 1, And(-u^2+4 <
y,y < 0), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3],
[1, 1], [-5/2, -5/2], [0, 0]]]], [[10, 3, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 5, 1, 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], [-3, -3], [0, 0]]]], [[
10, 10, 7, 6, 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, 6, 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, 6, 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, 2, 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], [-1297479/1048576, -648739/524288], [-1, -1]]]],
[[10, 15, 3, 2, 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], [-1297479/
1048576, -648739/524288], [0, 0]]]], [[10, 15, 3, 2, 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], [-1297479/1048576, -648739/524288], [1, 1]]]], [[
10, 16, 7, 1, 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], [-1, -1], [0, 0]]]], [[10, 19, 7, 4, 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, 7, 1], [2^(1/2)
< v, u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(x < y,y < u^2-v^2+x+1),
z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [8, 8], [33/2, 33/2], [-\
4, -4]]]], [[11, 1, 9, 7, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(1 < x,x <
u^2-v^2-1), And(x < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[3
, 3], [-5, -5], [8, 8], [33/2, 33/2], [-24456785/8388608, -1528549/524288]]]],
[[11, 1, 9, 7, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1),
And(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[3, 3], [-5, -5], [8, 8], [33/2, 33/2], [0, 0]]]], [[11, 1, 9,
7, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(x < y,y
< u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [8, 8], [
33/2, 33/2], [1528549/524288, 3057099/1048576]]]], [[11, 1, 9, 7, 5], [2^(1/2)
< v, u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(x < y,y < u^2-v^2+x+1),
(y-x)^(1/2) < z], [regular_chain, [[3, 3], [-5, -5], [8, 8], [33/2, 33/2], [4,
4]]]], [[11, 5, 10, 5, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 1
, And(1 < y,y < -u^2+v^2+2), z < -(y-1)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [1, 1], [328543/262144, 328543/262144], [-2, -\
2]]]], [[11, 5, 10, 5, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 1
, And(1 < y,y < -u^2+v^2+2), z = -(y-1)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [1, 1], [328543/262144, 328543/262144], [-\
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(1 < 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], [328543/262144, 328543/262144], [-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(1 < y,y
< -u^2+v^2+2), z = (y-1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [1, 1], [328543/262144, 328543/262144], [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(1 < y,y < -u^2+v^2+2), (y-1)^(1/2) < z], [regular_chain, [[3, 3], [
-403851/131072, -403851/131072], [1, 1], [328543/262144, 328543/262144], [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 = 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], [129143/524288, 258287/1048576], [-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 = 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], [129143/524288, 258287/
1048576], [-735979/1048576, -1471957/2097152]]]], [[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 = u^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], [
129143/524288, 258287/1048576], [-1/4194304, -1/4194304]]]], [[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 =
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], [129143/524288
, 258287/1048576], [367989/524288, 735979/1048576]]]], [[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 = 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], [129143/524288, 258287/
1048576], [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(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) <
z,z < (y-x)^(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(x < y,y < 0), z
= (y-x)^(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(x < y,y < 0), (y-
x)^(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 < x, z = z], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-3, -3], [-4, -4], [0, 0]]]], [[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 = x-u^2+v^2+1, z = z], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [-1/2, -1/2], [-133418519/134217728, -66709259/67108864], [0
, 0]]]], [[11, 20, 7, 7, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), And(0 < x,x < 1)
, And(x < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [3477733/
1048576, 1738867/524288], [1/2, 1/2], [2, 2], [-3, -3]]]], [[11, 20, 7, 7, 2],
[2^(1/2) < v, u = (v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), z = -(y
-x)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [1/2,
1/2], [2, 2], [-1284239/1048576, -642119/524288]]]], [[11, 20, 7, 7, 3], [2^(1
/2) < v, u = (v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), And(-(y-x)^(
1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [3477733/1048576, 1738867
/524288], [1/2, 1/2], [2, 2], [0, 0]]]], [[11, 20, 7, 7, 4], [2^(1/2) < v, u =
(v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [1/2, 1/2], [2, 2],
[642119/524288, 1284239/1048576]]]], [[11, 20, 7, 7, 5], [2^(1/2) < v, u = (v^
2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [1/2, 1/2], [2, 2],
[3, 3]]]], [[1, 5, 4, 4, 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], [-\
2, -2]]]], [[1, 5, 4, 4, 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], [-\
373161/524288, -1492643/2097152]]]], [[1, 5, 4, 4, 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], [-1/4194304, -1/4194304]]
]], [[1, 5, 4, 4, 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], [746321/
1048576, 373161/524288]]]], [[1, 5, 4, 4, 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], [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 < x-u^2+v^2+1), z < -(y-x)^(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 < x-u^2+v^2+1), z = -(y-x)^(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 < x-u^2+v^2+1), And(-(y-x)^(1/2) <
z,z < (y-x)^(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 < x-u^2+v^2+1)
, z = (y-x)^(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 < x-u^2+v^2+1)
, (y-x)^(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 < 2*u^2-2*v^2, z = z]
, [regular_chain, [[-3, -3], [0, 0], [-10, -10], [-19, -19], [0, 0]]]], [[1, 
12, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 4, 1], [v = -2^(1
/2), u = -2, 1 < x, y = x-1, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-2, -2], [2, 2], [1, 1], [0, 0]]]], [[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(0 < y,y < u^2-1), 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, 3, 2], [v = -2^(1/2), And(v < u,u < -1), x = 0, And(0 < y,y <
u^2-1), 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, 3, 3], [v = -2^(1/2), And(v <
u,u < -1), x = 0, And(0 < 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], [239655/1048576, 239655/1048576], [0, 0]]]], [[2, 7,
8, 3, 4], [v = -2^(1/2), And(v < u,u < -1), x = 0, And(0 < y,y < u^2-1), 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, 3, 5], [v = -2^(1/2), And(v < u,u < -1)
, x = 0, And(0 < y,y < u^2-1), 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, 8, 1], [v = -2^(1/2), 
And(-1 < u,u < 0), And(u^2-3 < x,x < -1), y = x-u^2+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, 8, 2], [v = -2^(1/2), And(-1 < u,u < 0
), And(u^2-3 < x,x < -1), y = x-u^2+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, 8, 3], [v = -2^(1/2), And(
-1 < u,u < 0), And(u^2-3 < x,x < -1), y = x-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], [-15/8, -15/8], [7/8, 7/8], [-1/4194304, -1/4194304]]]], [[2, 9, 3, 8,
4], [v = -2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), y = x-u^2+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, 8, 5], [v = -2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), y = x-u^2+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, 4, 4, 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], [-1138531/2097152, -569265/1048576], [-2, -2]]]], [[2, 13,
4, 4, 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], [-1138531/2097152, -569265/1048576], [-1417877/
2097152, -354469/524288]]]], [[2, 13, 4, 4, 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], [-1138531/2097152, -569265/1048576], [0, 0]]]], [[2, 13, 4
, 4, 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], [-1138531/2097152, -569265/1048576], [354469/
524288, 708939/1048576]]]], [[2, 13, 4, 4, 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], [-1138531/
2097152, -569265/1048576], [2, 2]]]], [[2, 15, 1, 5, 1], [v = -2^(1/2), And(-v
< u,u < 3^(1/2)), x < -u^2+1, And(x-u^2+3 < y,y < u^2+x-1), z < -(y-x)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097
/2097152], [-3, -3], [-8388607/4194304, -8388607/4194304], [-3, -3]]]], [[2, 
15, 1, 5, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, And(x-u^2+3
< y,y < u^2+x-1), z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [-3, -3], [-8388607/
4194304, -8388607/4194304], [-1048577/1048576, -1]]]], [[2, 15, 1, 5, 3], [v =
-2^(1/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, And(x-u^2+3 < y,y < u^2+x-1), 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [-3, -3], [-8388607/
4194304, -8388607/4194304], [0, 0]]]], [[2, 15, 1, 5, 4], [v = -2^(1/2), And(-
v < u,u < 3^(1/2)), x < -u^2+1, And(x-u^2+3 < y,y < u^2+x-1), z = (y-x)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [-3, -3], [-8388607/4194304, -8388607/4194304], [1, 1048577/
1048576]]]], [[2, 15, 1, 5, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u
^2+1, And(x-u^2+3 < y,y < u^2+x-1), (y-x)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-3, -3]
, [-8388607/4194304, -8388607/4194304], [3, 3]]]], [[3, 1, 8, 4, 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, 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, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4, -4],
[1, 1], [-4, -4]]]], [[3, 3, 1, 9, 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, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [1, 1], [-146543/65536, -2344687/1048576]]]], [[3
, 3, 1, 9, 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, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [1, 1], [0, 0]]]], [[3, 3, 1, 9, 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, 0 <
y, z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-4, -4], [1, 1], [2344687/1048576, 
146543/65536]]]], [[3, 3, 1, 9, 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, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [1, 1], [4, 4]]]], [[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 < -u^2+v^2-1,
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-450371/1048576, -225185/524288], [-2, -2], [0, 0
]]]], [[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-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-4, -4], [-\
3235683/2097152, -1617841/1048576], [-3, -3]]]], [[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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [-4, -4], [-3235683/2097152, -1617841/1048576], [-\
410915/262144, -3287319/2097152]]]], [[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-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], [-4, -4], [-3235683/2097152, -\
1617841/1048576], [-1/4194304, -1/4194304]]]], [[3, 9, 1, 6, 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 = x-u
^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [-4, -4], [-3235683/2097152, -1617841/1048576], [
1643659/1048576, 410915/262144]]]], [[3, 9, 1, 6, 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 = x-u^2+v^2+1,
(-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [0, 0], [-4, -4], [-3235683/2097152, -1617841/1048576], [3, 3]]]], [[4, 1, 1
, 1, 1], [v = -1, u < -3^(1/2), x < -u^2, y < x-u^2+2, z = z], [regular_chain,
[[-1, -1], [-3, -3], [-10, -10], [-18, -18], [0, 0]]]], [[4, 2, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = -1, u = -1, And(0 < x,x < 1), And(x <
y,y < x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [1/2, 1/2]
, [1, 1], [-2, -2]]]], [[4, 6, 5, 5, 2], [v = -1, u = -1, And(0 < x,x < 1), 
And(x < y,y < x+1), z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [1
/2, 1/2], [1, 1], [-1482911/2097152, -741455/1048576]]]], [[4, 6, 5, 5, 3], [v
= -1, u = -1, And(0 < x,x < 1), And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[-1, -1], [-1, -1], [1/2, 1/2], [1, 1], [0, 0]]
]], [[4, 6, 5, 5, 4], [v = -1, u = -1, And(0 < x,x < 1), And(x < y,y < x+1), z
= (y-x)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [1/2, 1/2], [1, 1], [
741455/1048576, 46341/65536]]]], [[4, 6, 5, 5, 5], [v = -1, u = -1, And(0 < x,
x < 1), And(x < y,y < x+1), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1,
-1], [1/2, 1/2], [1, 1], [2, 2]]]], [[4, 8, 1, 5, 1], [v = -1, u = 0, x < -2,
And(x+2 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-3,
-3], [-1/2, -1/2], [-3, -3]]]], [[4, 8, 1, 5, 2], [v = -1, u = 0, x < -2, And(
x+2 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-3, -3]
, [-1/2, -1/2], [-3315889/2097152, -207243/131072]]]], [[4, 8, 1, 5, 3], [v =
-1, u = 0, x < -2, And(x+2 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[-1, -1], [0, 0], [-3, -3], [-1/2, -1/2], [0, 0]]]], [[4, 8,
1, 5, 4], [v = -1, u = 0, x < -2, And(x+2 < y,y < 0), z = (y-x)^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [-3, -3], [-1/2, -1/2], [207243/131072, 
1657945/1048576]]]], [[4, 8, 1, 5, 5], [v = -1, u = 0, x < -2, And(x+2 < y,y <
0), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [0, 0], [-3, -3], [-1/2, -1/2
], [3, 3]]]], [[4, 14, 4, 7, 1], [v = -1, u = 3^(1/2), x = -1, And(0 < y,y < 2
), z < -(y+1)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [-1, -1], [1, 1], [-3, -3]]]], [[4, 14, 4, 7, 2], [v = -1, u = 3^(1/
2), x = -1, And(0 < y,y < 2), z = -(y+1)^(1/2)], [regular_chain, [[-1, -1], [
908093/524288, 1816187/1048576], [-1, -1], [1, 1], [-1482911/1048576, -741455/
524288]]]], [[4, 14, 4, 7, 3], [v = -1, u = 3^(1/2), x = -1, And(0 < y,y < 2),
And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1, -1], [908093/
524288, 1816187/1048576], [-1, -1], [1, 1], [0, 0]]]], [[4, 14, 4, 7, 4], [v =
-1, u = 3^(1/2), x = -1, And(0 < y,y < 2), z = (y+1)^(1/2)], [regular_chain, [
[-1, -1], [908093/524288, 1816187/1048576], [-1, -1], [1, 1], [741455/524288,
1482911/1048576]]]], [[4, 14, 4, 7, 5], [v = -1, u = 3^(1/2), x = -1, And(0 <
y,y < 2), (y+1)^(1/2) < z], [regular_chain, [[-1, -1], [908093/524288, 1816187
/1048576], [-1, -1], [1, 1], [3, 3]]]], [[4, 15, 9, 3, 1], [v = -1, 3^(1/2) <
u, And(1 < x,x < u^2-2), And(x-u^2+2 < y,y < 0), z = z], [regular_chain, [[-1,
-1], [3, 3], [4, 4], [-3/2, -3/2], [0, 0]]]], [[5, 4, 7, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6
, 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, 6, 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, 6, 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, 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 < 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, 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 < 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, 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 < 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, 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 < 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, 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 < 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, 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 = z], [regular_chain, [[-1/2, -1/2], [343151/262144
, 343151/262144], [-1, -1], [-3, -3], [0, 0]]]], [[6, 1, 11, 8, 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, 8, 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,
8, 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, 8, 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, 8, 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, 5, 4, 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, 4, 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, 4, 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, 8, 6, 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], [3055773/
1048576, 1527887/524288], [-3, -3]]]], [[6, 9, 8, 6, 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], [3055773/
1048576, 1527887/524288], [-410915/262144, -3287319/2097152]]]], [[6, 9, 8, 6,
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], [3055773/1048576, 1527887/524288],
[-1/4194304, -1/4194304]]]], [[6, 9, 8, 6, 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], [3055773/1048576,
1527887/524288], [1643659/1048576, 410915/262144]]]], [[6, 9, 8, 6, 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], [3055773/1048576, 1527887/524288], [3, 3]]]], [[6, 11, 2, 2,
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, 2, 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, 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(x-u^2+v^2+1 < y,y < 0), z < -(y-x)^(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(x-u^2+v^2+1 < y,y < 0), z = -(y-x)^(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(x-u^2+v^2+1 < y,y < 0), And(-(y-x)^(
1/2) < z,z < (y-x)^(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(x-u^2+v^2+1
< y,y < 0), z = (y-x)^(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(x-u
^2+v^2+1 < y,y < 0), (y-x)^(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 < y, z < -y^(1/2)], [regular_chain, [[1, 1], [-3, -3], [0, 0], [10,
10], [-5, -5]]]], [[8, 1, 6, 7, 2], [v = 1, u < -3^(1/2), x = 0, u^2 < y, z =
-y^(1/2)], [regular_chain, [[1, 1], [-3, -3], [0, 0], [10, 10], [-3315889/
1048576, -207243/65536]]]], [[8, 1, 6, 7, 3], [v = 1, u < -3^(1/2), x = 0, u^2
< y, And(-y^(1/2) < z,z < y^(1/2))], [regular_chain, [[1, 1], [-3, -3], [0, 0]
, [10, 10], [0, 0]]]], [[8, 1, 6, 7, 4], [v = 1, u < -3^(1/2), x = 0, u^2 < y,
z = y^(1/2)], [regular_chain, [[1, 1], [-3, -3], [0, 0], [10, 10], [207243/
65536, 3315889/1048576]]]], [[8, 1, 6, 7, 5], [v = 1, u < -3^(1/2), x = 0, u^2
< y, y^(1/2) < z], [regular_chain, [[1, 1], [-3, -3], [0, 0], [10, 10], [5, 5]
]]], [[8, 2, 9, 1, 1], [v = 1, u = -3^(1/2), 1 < x, y < 0, z = z], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [2, 2], [-1, -1]
, [0, 0]]]], [[8, 7, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 1], [v = 1, u = 0, x = 1, And(0 < y,y < 1), z = z], [
regular_chain, [[1, 1], [0, 0], [1, 1], [1/2, 1/2], [0, 0]]]], [[8, 15, 1, 6,
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, 6, 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, 6, 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, 6, 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, 6, 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, 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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [
494331/262144, 494331/262144], [-4, -4]]]], [[9, 1, 3, 7, 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 < u^2-v^2
+x+1), z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3, -3], [-10006449/2097152, -10006449/2097152], [494331/262144, 494331/
262144], [-2705483/1048576, -5410965/2097152]]]], [[9, 1, 3, 7, 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 < u
^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152],
[494331/262144, 494331/262144], [-1/4194304, -1/4194304]]]], [[9, 1, 3, 7, 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 < u^2-v^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [494331/
262144, 494331/262144], [1352741/524288, 2705483/1048576]]]], [[9, 1, 3, 7, 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 < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [494331/
262144, 494331/262144], [4, 4]]]], [[9, 5, 4, 7, 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 < -(y+1)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1, -1], [122559/524288, 122559/524288], [-3, -3]]]], [[9,
5, 4, 7, 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 = -(y+1)^(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, 7, 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(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [
122559/524288, 122559/524288], [0, 0]]]], [[9, 5, 4, 7, 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 = (y+
1)^(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, 7, 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), (y+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1, -1], [122559/524288, 122559/524288], [3, 3]]]], [[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], [-\
5390715/2097152, -2695357/1048576], [-2, -2]]]], [[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], [-5390715/2097152, -2695357/
1048576], [-1374407/2097152, -687203/1048576]]]], [[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], [-\
5390715/2097152, -2695357/1048576], [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], [-5390715/2097152, -2695357/
1048576], [687203/1048576, 171801/262144]]]], [[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], [-5390715/2097152, -2695357/
1048576], [2, 2]]]], [[9, 10, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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(u^2-v^2+x+1 < y,y < x-u^2+v^2+1)
, z < -(y-x)^(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, 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(u^2-v^2+x+1
< y,y < x-u^2+v^2+1), z = -(y-x)^(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, 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(u^2-v^2+x+1 < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(u^2-v^2+x+1 < y,y < x-u^2+v^2
+1), z = (y-x)^(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, 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(u^2-v^2+x+1 <
y,y < x-u^2+v^2+1), (y-x)^(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, 1, 3, 1], [
And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x < -3, And(x-1 < y,y < x), z = z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-4, -4], [-9/2, -9/2], [0, 0]]]], [[9, 17, 5, 4, 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, 4, 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, 4, 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, 7, 1], [v = 2^(1/2), u = -v, x < -1, 0 < y, z
< -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/
1048576, -741455/524288], [-2, -2], [1, 1], [-3, -3]]]], [[10, 6, 1, 7, 2], [v
= 2^(1/2), u = -v, x < -1, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [-2, -2], [1, 1]
, [-1816187/1048576, -3632373/2097152]]]], [[10, 6, 1, 7, 3], [v = 2^(1/2), u
= -v, x < -1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [
[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [-2, -2]
, [1, 1], [-1/4194304, -1/4194304]]]], [[10, 6, 1, 7, 4], [v = 2^(1/2), u = -v
, x < -1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [-2, -2], [1, 1], [908093/524288
, 1816187/1048576]]]], [[10, 6, 1, 7, 5], [v = 2^(1/2), u = -v, x < -1, 0 < y,
(y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911
/1048576, -741455/524288], [-2, -2], [1, 1], [3, 3]]]], [[10, 7, 9, 6, 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], [501799/524288, 1003599/1048576], [-2, -2]]]], [
[10, 7, 9, 6, 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], [501799/524288, 1003599/
1048576], [-1417877/2097152, -354469/524288]]]], [[10, 7, 9, 6, 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], [501799/524288, 1003599/
1048576], [0, 0]]]], [[10, 7, 9, 6, 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], [501799/
524288, 1003599/1048576], [354469/524288, 708939/1048576]]]], [[10, 7, 9, 6, 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], [501799/524288, 1003599/1048576], [2, 2]]]],
[[10, 11, 10, 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, 10, 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, 10, 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, 5, 5, 1], [v = 2^(1/2), And(1 < u,u <
v), And(-1 < x,x < -u^2+1), And(u^2+x-1 < y,y < 0), z < -(y-x)^(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(u^2+x-1 < y,y < 0), z = -(y-x)^(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(u^2+x-1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(u^2+x-1 < y,y < 0), z = (y-x)^(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(u^2+x-1 < y,y < 0), (y-x)^(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 = 0, z < -(-x)^(1/2)], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-915943/524288,
-915943/524288], [0, 0], [-3, -3]]]], [[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 = 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, 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 = 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, 6, 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, 6, 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, 1, 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], [-1, -1], [0, 0]]]], [[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(x < y,y < 0), z
< -(y-x)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [-7357527/4194304, -7357527/4194304], [-7357527/8388608, -7357527/
8388608], [-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(x < y,y < 0), z = -(y-x)^
(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-\
7357527/4194304, -7357527/4194304], [-7357527/8388608, -7357527/8388608], [-\
7856171/8388608, -3928085/4194304]]]], [[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(x < y,y <
0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [-\
7357527/8388608, -7357527/8388608], [-1/8388608, -1/8388608]]]], [[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(x < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [-\
7357527/8388608, -7357527/8388608], [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(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[3, 3
], [-22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304
], [-7357527/8388608, -7357527/8388608], [2, 2]]]], [[11, 10, 5, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 3, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -1, And(-2 < y,y
< -1), z = z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576],
[-1, -1], [-3/2, -3/2], [0, 0]]]], [[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 < 0, z = z], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [1566621/
2097152, 1566621/2097152], [-1, -1], [0, 0]]]], [[1, 8, 2, 2, 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, 2, 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, 2, 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, 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 < -(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, 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^2-1
< y,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], [
3696259/2097152, 3696259/2097152], [-1174299/1048576, -587149/524288]]]], [[1,
9, 8, 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^2-1 < 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], [-22960369/8388608, -\
22960369/8388608], [533035/1048576, 133259/262144], [3696259/2097152, 3696259/
2097152], [0, 0]]]], [[1, 9, 8, 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^2-1 < y,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], [3696259/2097152, 3696259/2097152],
[587149/524288, 1174299/1048576]]]], [[1, 9, 8, 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^2-1 < y,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], [3696259/2097152
, 3696259/2097152], [3, 3]]]], [[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(0 < y,y
< u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [403851/131072,
403851/131072], [-2614535/2097152, -2614535/2097152], [258691/2097152, 258691/
2097152], [-3, -3]]]], [[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(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(
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, 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(0 < y,y < u^2-v^2+x+1), And(-(
y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [-2614535/2097152, -2614535/2097152], [258691/2097152, 258691/
2097152], [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(0 < y,y < u^2-v^2+x+1), z = (y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), (y-x)^(1/2) <
z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-2614535/
2097152, -2614535/2097152], [258691/2097152, 258691/2097152], [3, 3]]]], [[1,
21, 4, 3, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -1, And(-u^2+v^2 < y,y < -\
1), z = z], [regular_chain, [[-3, -3], [5, 5], [-1, -1], [-17/2, -17/2], [0, 0
]]]], [[2, 1, 6, 6, 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, 6, 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, 6
, 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, 6, 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, 6, 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, 2, 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, 11, 10, 9, 1], [v = -2^(1/2), And(0 < u,u < 1), x = 1, -u^2+4
< y, z < -(y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1/2, 1/2], [1, 1], [5, 5], [-3, -3]]]], [[2, 11, 10, 9, 2], [v = -2^(1/2), And
(0 < u,u < 1), x = 1, -u^2+4 < y, z = -(y-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1/2, 1/2], [1, 1], [5, 5], [-2, -2]]]], [[2
, 11, 10, 9, 3], [v = -2^(1/2), And(0 < u,u < 1), x = 1, -u^2+4 < y, 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, 9, 4], [v = -2^(1
/2), And(0 < u,u < 1), x = 1, -u^2+4 < y, z = (y-1)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [1/2, 1/2], [1, 1], [5, 5], [2, 2]]]], [[2,
11, 10, 9, 5], [v = -2^(1/2), And(0 < u,u < 1), x = 1, -u^2+4 < y, (y-1)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [1, 1],
[5, 5], [3, 3]]]], [[2, 16, 4, 7, 1], [v = -2^(1/2), u = 3^(1/2), x = -1, 1 <
y, z < -(y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
908093/524288, 1816187/1048576], [-1, -1], [2, 2], [-3, -3]]]], [[2, 16, 4, 7,
2], [v = -2^(1/2), u = 3^(1/2), x = -1, 1 < y, z = -(y+1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-1, -1], [2, 2], [-1816187/1048576, -3632373/2097152]]]], [[2, 16,
4, 7, 3], [v = -2^(1/2), u = 3^(1/2), x = -1, 1 < y, 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], [-1/4194304, -1/4194304]]]], [[2,
16, 4, 7, 4], [v = -2^(1/2), u = 3^(1/2), x = -1, 1 < y, z = (y+1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-1, -1], [2, 2], [908093/524288, 1816187/1048576]]]], [[2, 16, 4, 7
, 5], [v = -2^(1/2), u = 3^(1/2), x = -1, 1 < y, (y+1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-1, -1], [2, 2], [3, 3]]]], [[2, 17, 10, 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, 10, 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, 10, 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]]]], [[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 < 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-5818805/4194304, -5818805/4194304], [2, 2], [-1, -1], [0, 0]]]], [[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,
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288,
708939/1048576], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[3, 11, 10, 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+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], [2, 2], [-2, -2]]]], [[3,
11, 10, 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+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],
[2, 2], [-1, -1]]]], [[3, 11, 10, 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+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], [2, 2], [0, 0]]]], [[3, 11, 10, 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+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], [2, 2], [1, 1]]
]], [[3, 11, 10, 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+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], [2, 2], [2, 2]]]], [[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 < -(y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-1, -1], [3, 3], [-3, -3]]]], [[3, 15, 4, 9, 2], [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 = -(y+
1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/
524288, 898327/524288], [-1, -1], [3, 3], [-2, -2]]]], [[3, 15, 4, 9, 3], [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, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [-1, -1], [3, 3],
[0, 0]]]], [[3, 15, 4, 9, 4], [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 = (y+1)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-1, -1],
[3, 3], [2, 2]]]], [[3, 15, 4, 9, 5], [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, (y+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-1, -1], [3, 3], [3, 3]]]], [[3, 16, 7, 5, 1], [And(-2^(1/2) < v,v <
-1), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(0 < y,y < 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, 6, 3, 1], [v = -1, And(-3
^(1/2) < u,u < -2^(1/2)), x = 0, And(-u^2+2 < y,y < 0), z = z], [regular_chain
, [[-1, -1], [-6598195/4194304, -6598195/4194304], [0, 0], [-248903/1048576, -\
248903/1048576], [0, 0]]]], [[4, 5, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 11, 6, 6, 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], [958621/
1048576, 479311/524288], [-3, -3]]]], [[4, 11, 6, 6, 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], [
958621/1048576, 479311/524288], [-1265743/1048576, -1265743/1048576]]]], [[4,
11, 6, 6, 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], [958621/1048576, 479311/524288], [0, 0]]]],
[[4, 11, 6, 6, 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], [958621/1048576, 479311/524288], [1265743/1048576,
1265743/1048576]]]], [[4, 11, 6, 6, 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], [958621/1048576, 479311
/524288], [3, 3]]]], [[4, 13, 2, 2, 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], [-12371053/4194304, -\
49484211/16777216], [0, 0]]]], [[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 < -(y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3, -3], [35/8, 35/8], [16, 16], [-5, -5]]]], [
[5, 1, 9, 9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -\
3], [35/8, 35/8], [16, 16], [-27931/8192, -3575167/1048576]]]], [[5, 1, 9, 9,
3], [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, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2]
, [-3, -3], [35/8, 35/8], [16, 16], [0, 0]]]], [[5, 1, 9, 9, 4], [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 = (y-x)
^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [35/8, 35/8], [16, 16], [
3575167/1048576, 27931/8192]]]], [[5, 1, 9, 9, 5], [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, (y-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-3, -3], [35/8, 35/8], [16, 16], [5, 5]]]], [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(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, 7, 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 < u^2-v^2+x+1), z = -(y-x)^(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, 7, 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 < u^2
-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 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 < u^2-v^2+x+1), z = (y-x)^(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, 7,
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 < u^2-v^2+x+1), (y-x)^(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, 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 = 0, z = z], [regular_chain, [[-1/2, -\
1/2], [3, 3], [9, 9], [0, 0], [0, 0]]]], [[6, 4, 9, 7, 1], [v = 0, u = -1, 1 <
x, x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [2, 2], [5,
5], [-3, -3]]]], [[6, 4, 9, 7, 2], [v = 0, u = -1, 1 < x, x+2 < y, z = -(y-x)^
(1/2)], [regular_chain, [[0, 0], [-1, -1], [2, 2], [5, 5], [-1816187/1048576,
-3632373/2097152]]]], [[6, 4, 9, 7, 3], [v = 0, u = -1, 1 < x, x+2 < y, And(-(
y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [-1, -1], [2, 2], [
5, 5], [-1/4194304, -1/4194304]]]], [[6, 4, 9, 7, 4], [v = 0, u = -1, 1 < x, x
+2 < y, z = (y-x)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [2, 2], [5, 5], [
908093/524288, 1816187/1048576]]]], [[6, 4, 9, 7, 5], [v = 0, u = -1, 1 < x, x
+2 < y, (y-x)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [2, 2], [5, 5], [
3, 3]]]], [[6, 6, 4, 2, 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, 2, 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, 2, 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, 4, 7, 1], [
And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -1, And(0 < y,y < u^2-v^2), z < -(y+
1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-1, -1], [35/8, 35/8], [-4,
-4]]]], [[7, 1, 4, 7, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -1, And(0
< y,y < u^2-v^2), z = -(y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-\
1, -1], [35/8, 35/8], [-151939/65536, -2431023/1048576]]]], [[7, 1, 4, 7, 3],
[And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -1, And(0 < y,y < u^2-v^2), And(-(y
+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [-1, -\
1], [35/8, 35/8], [0, 0]]]], [[7, 1, 4, 7, 4], [And(0 < v,v < 1), u < -(v^2+2)
^(1/2), x = -1, And(0 < y,y < u^2-v^2), z = (y+1)^(1/2)], [regular_chain, [[1/
2, 1/2], [-3, -3], [-1, -1], [35/8, 35/8], [2431023/1048576, 151939/65536]]]],
[[7, 1, 4, 7, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -1, And(0 < y,y <
u^2-v^2), (y+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3, -3], [-1, -1], [
35/8, 35/8], [4, 4]]]], [[7, 2, 7, 3, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2
), And(0 < x,x < 1), And(x-1 < 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, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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
, 5, 1], [And(0 < v,v < 1), u = v, x = 1, And(1 < y,y < 2), 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, 5, 2], [And(0 < v,v < 1), u = v, x = 1, And(1 < y,y < 2), 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, 5, 3], [And(0 < v,v < 1), u = v, x =
1, And(1 < y,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], [3/2, 3/2], [0, 0]]]], [[7, 8, 6, 5, 4], [And(
0 < v,v < 1), u = v, x = 1, And(1 < y,y < 2), 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, 5, 5], [And(0 < v,v < 1), u = v, x = 1, And(1 < y,y < 2), (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, 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+2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2,
1/2], [343151/262144, 343151/262144], [1, 1], [1815885/524288, 3631771/1048576
], [-3, -3]]]], [[7, 11, 10, 8, 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], [1815885/
524288, 3631771/1048576], [-3291611/2097152, -1645805/1048576]]]], [[7, 11, 10
, 8, 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], [1815885/
524288, 3631771/1048576], [0, 0]]]], [[7, 11, 10, 8, 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],
[1815885/524288, 3631771/1048576], [1645805/1048576, 822903/524288]]]], [[7, 
11, 10, 8, 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], [1815885/524288, 3631771/1048576], [3,
3]]]], [[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 < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2],
[3, 3], [-43/8, -43/8], [6, 6], [-5, -5]]]], [[7, 13, 3, 9, 2], [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 = -(y-x)
^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8], [6, 6], [-884129
/262144, -3536515/1048576]]]], [[7, 13, 3, 9, 3], [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, And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8], [6, 6],
[0, 0]]]], [[7, 13, 3, 9, 4], [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 = (y-x)^(1/2)], [regular_chain, [[1/2, 1/
2], [3, 3], [-43/8, -43/8], [6, 6], [3536515/1048576, 884129/262144]]]], [[7,
13, 3, 9, 5], [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, (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3, 3], [-43
/8, -43/8], [6, 6], [5, 5]]]], [[8, 3, 11, 9, 1], [v = 1, And(-3^(1/2) < u,u <
-2^(1/2)), 1 < x, u^2+x < y, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-\
6598195/4194304, -6598195/4194304], [2, 2], [6, 6], [-3, -3]]]], [[8, 3, 11, 9
, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, u^2+x < y, z = -(y-x)^(1/
2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [2, 2], [6
, 6], [-2, -2]]]], [[8, 3, 11, 9, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)),
1 < x, u^2+x < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1,
1], [-6598195/4194304, -6598195/4194304], [2, 2], [6, 6], [0, 0]]]], [[8, 3, 
11, 9, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, u^2+x < y, z = (y-x)
^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [2, 2]
, [6, 6], [2, 2]]]], [[8, 3, 11, 9, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2))
, 1 < x, u^2+x < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [2, 2], [6, 6], [3, 3]]]], [[8, 5, 7, 1, 1], [v =
1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y < x, z = z], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-569265/2097152
, -569265/2097152], [-2, -2], [0, 0]]]], [[8, 12, 1, 5, 1], [v = 1, u = 2^(1/2
), x < -2, And(x+2 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [
741455/524288, 1482911/1048576], [-3, -3], [-1/2, -1/2], [-3, -3]]]], [[8, 12,
1, 5, 2], [v = 1, u = 2^(1/2), x < -2, And(x+2 < y,y < 0), z = -(y-x)^(1/2)],
[regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3, -3], [-1/2, -1
/2], [-3315889/2097152, -207243/131072]]]], [[8, 12, 1, 5, 3], [v = 1, u = 2^(
1/2), x < -2, And(x+2 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3, -3], [-1/2, -1/
2], [0, 0]]]], [[8, 12, 1, 5, 4], [v = 1, u = 2^(1/2), x < -2, And(x+2 < y,y <
0), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576
], [-3, -3], [-1/2, -1/2], [207243/131072, 1657945/1048576]]]], [[8, 12, 1, 5,
5], [v = 1, u = 2^(1/2), x < -2, And(x+2 < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3, -3], [-1/2, -1/
2], [3, 3]]]], [[8, 13, 7, 6, 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], [124451/524288, 248903/
1048576], [-1, -1]]]], [[8, 13, 7, 6, 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], [124451/524288, 
248903/1048576], [0, 0]]]], [[8, 13, 7, 6, 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], [124451/524288, 
248903/1048576], [1, 1]]]], [[9, 2, 4, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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, 2*u^2-2*v^2 < y, z < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [501965/1048576, 250983/524288], [4, 4], [-3, -3]]]], [[9,
3, 8, 7, 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, 2*u^2-2*v^2 < y, z = -(y-u^2+v^2+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, 7, 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, 2*u^2-2*v^2 < y, And(-(y-u^2+v^2+1)^(1/2) < z,z <
(y-u^2+v^2+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, 7, 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, 2*u^2-2*v^2 < y, z = (y
-u^2+v^2+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, 7, 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, 2*u^2-2*v^2 < y,
(y-u^2+v^2+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, 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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3213833/4194304, -3213833/4194304], [-4194309/8388608, -\
4194309/8388608], [-2, -2]]]], [[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(x < y,y < x-u^2+v^2+
1), z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [-\
4194309/8388608, -4194309/8388608], [-270523/524288, -1082091/2097152]]]], [[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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)
^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [-4194309/
8388608, -4194309/8388608], [-1/4194304, -1/4194304]]]], [[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(x < y,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/
4194304, -3213833/4194304], [-4194309/8388608, -4194309/8388608], [541045/
1048576, 270523/524288]]]], [[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(x < y,y < x-u^2+v^2+1),
(y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [-\
4194309/8388608, -4194309/8388608], [2, 2]]]], [[9, 14, 9, 2, 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, 8, 4, 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, 1, 5, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1
, And(x < y,y < u^2+x-1), z < -(y-x)^(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(x < y,y < u^2+x-1), z = -(y-x)^(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(x < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^
2+x-1), z = (y-x)^(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(x < y,y < u^2+x-1), (y-x)^(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 = 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, 4, 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, 4, 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, 10, 7, 5, 1], [v = 2^(1/2), u = 0, And(0 < x,x
< 1), And(0 < y,y < x), 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(x < y,y < x-u^2+3
), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/2097152], [-\
4088373/4194304, -4088373/4194304], [-2, -2]]]], [[10, 15, 3, 3, 2], [v = 2^(1
/2), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), And(x < y,y < x-u^2+3), z
= -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-2594957/2097152, -2594957/2097152], [-4088373/
4194304, -4088373/4194304], [-1074733/2097152, -268683/524288]]]], [[10, 15, 3
, 3, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), And(x <
y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-2594957
/2097152, -2594957/2097152], [-4088373/4194304, -4088373/4194304], [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(x < y,y < x-u^2+3), z = (y-x)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [3299097/2097152, 3299097/2097152], [-2594957/2097152, -\
2594957/2097152], [-4088373/4194304, -4088373/4194304], [268683/524288, 537367
/1048576]]]], [[10, 15, 3, 3, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u
^2+1 < x,x < -1), And(x < y,y < x-u^2+3), (y-x)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-2594957
/2097152, -2594957/2097152], [-4088373/4194304, -4088373/4194304], [2, 2]]]],
[[10, 16, 6, 3, 1], [v = 2^(1/2), u = 3^(1/2), x = 0, And(0 < y,y < 2), 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(0 < y,y < 2), 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(0 <
y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,
y < x), 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 = 0, z = z], [regular_chain, [[3, 3], [-5,
-5], [8, 8], [0, 0], [0, 0]]]], [[11, 5, 10, 8, 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], [2614535/
1048576, 326817/131072], [-3, -3]]]], [[11, 5, 10, 8, 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], [2614535/
1048576, 326817/131072], [-1281417/1048576, -160177/131072]]]], [[11, 5, 10, 8
, 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], [2614535/1048576, 326817/131072], [0,
0]]]], [[11, 5, 10, 8, 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], [2614535/1048576, 326817/131072], [160177/
131072, 1281417/1048576]]]], [[11, 5, 10, 8, 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], [2614535/1048576, 326817/
131072], [3, 3]]]], [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(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(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(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(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(0 < y,y < u^2-v^2+x+1), z = (y-x)^(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(0 < y,y < u^2-v^2+x+1), (y-x)^(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 = 0, z < -(-x)^
(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1/2, -1/2
], [0, 0], [-2, -2]]]], [[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 = 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, 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 = 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, 6, 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, 6, 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, 5, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), 1 < x,
And(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [741455/262144
, 2965821/1048576], [2, 2], [3, 3], [-2, -2]]]], [[11, 14, 9, 5, 2], [2^(1/2)
< v, u = (v^2-1)^(1/2), 1 < x, And(x < y,y < x+2), z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [2, 2], [3, 3], [-1,
-1]]]], [[11, 14, 9, 5, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), 1 < x, And(x < y,
y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [
741455/262144, 2965821/1048576], [2, 2], [3, 3], [0, 0]]]], [[11, 14, 9, 5, 4]
, [2^(1/2) < v, u = (v^2-1)^(1/2), 1 < x, And(x < y,y < x+2), z = (y-x)^(1/2)]
, [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [2, 2], [3, 3], [
1, 1]]]], [[11, 14, 9, 5, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), 1 < x, And(x <
y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [741455/262144, 2965821
/1048576], [2, 2], [3, 3], [2, 2]]]], [[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(x < y,y < 0), z < -
(y-x)^(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(x < y,y < 0), z = -
(y-x)^(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(x < y,y < 0),
And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = x, z < 0], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [1/2, 1/2], [1/2, 1
/2], [-1, -1]]]], [[11, 20, 7, 6, 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, 6, 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, 4
, 3, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -1, And(-1 < y,y <
-u^2+v^2), z < -(y+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-1, -1], [-195745/262144, -195745/262144], [-2, -2]]]], [[1,
5, 4, 3, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -1, And(-1 < y,
y < -u^2+v^2), z = -(y+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072,
-403851/131072], [-1, -1], [-195745/262144, -195745/262144], [-527729/1048576,
-1055457/2097152]]]], [[1, 5, 4, 3, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,
u < v), x = -1, And(-1 < y,y < -u^2+v^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2)
)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1, -1], [-\
195745/262144, -195745/262144], [-1/4194304, -1/4194304]]]], [[1, 5, 4, 3, 4],
[v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -1, And(-1 < y,y < -u^2+v^2)
, z = (y+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072
], [-1, -1], [-195745/262144, -195745/262144], [32983/65536, 527729/1048576]]]
], [[1, 5, 4, 3, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -1, And
(-1 < y,y < -u^2+v^2), (y+1)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-1, -1], [-195745/262144, -195745/262144], [2, 2]]]]
, [[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], [-5258313/2097152, -657289/
262144], [-2, -2]]]], [[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], [-\
5258313/2097152, -657289/262144], [-735979/1048576, -1471957/2097152]]]], [[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], [-\
5258313/2097152, -657289/262144], [-1/4194304, -1/4194304]]]], [[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], [-5258313/2097152, -657289/262144], [367989/524288
, 735979/1048576]]]], [[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], [-5258313/2097152
, -657289/262144], [2, 2]]]], [[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 = 2*u^2-2*v^2, z = z], [
regular_chain, [[-3, -3], [0, 0], [-10, -10], [-18, -18], [0, 0]]]], [[1, 12,
4, 7, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -1, And(0 < y,y < 2), z < -(y+
1)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1, -1],
[1, 1], [-3, -3]]]], [[1, 12, 4, 7, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), x =
-1, And(0 < y,y < 2), z = -(y+1)^(1/2)], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [-1, -1], [1, 1], [-1482911/1048576, -741455/524288]]]],
[[1, 12, 4, 7, 3], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -1, And(0 < y,y < 2),
And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [-1, -1], [1, 1], [0, 0]]]], [[1, 12, 4, 7, 4], [v < -2^
(1/2), u = (v^2-2)^(1/2), x = -1, And(0 < y,y < 2), z = (y+1)^(1/2)], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1, -1], [1, 1], [
741455/524288, 1482911/1048576]]]], [[1, 12, 4, 7, 5], [v < -2^(1/2), u = (v^2
-2)^(1/2), x = -1, And(0 < y,y < 2), (y+1)^(1/2) < z], [regular_chain, [[-3, -\
3], [2774271/1048576, 10837/4096], [-1, -1], [1, 1], [3, 3]]]], [[1, 18, 7, 5,
1], [v < -2^(1/2), u = (v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z
< -(y-x)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [
1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[1, 18, 7, 5, 2], [v < -2^(1/2), u = (v^2
+1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z = -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [1/2, 1/2], [3/2, 3
/2], [-1, -1]]]], [[1, 18, 7, 5, 3], [v < -2^(1/2), u = (v^2+1)^(1/2), And(0 <
x,x < 1), And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [1/2, 1/2], [3/2, 3
/2], [0, 0]]]], [[1, 18, 7, 5, 4], [v < -2^(1/2), u = (v^2+1)^(1/2), And(0 < x
,x < 1), And(x < y,y < x+2), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [
207243/65536, 3315889/1048576], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[1, 18, 7,
5, 5], [v < -2^(1/2), u = (v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2),
(y-x)^(1/2) < z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576],
[1/2, 1/2], [3/2, 3/2], [2, 2]]]], [[1, 20, 1, 5, 1], [v < -2^(1/2), u = (v^2+
2)^(1/2), x < -3, And(x < y,y < x+3), z < -(y-x)^(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 < y,y < x+3)
, z = -(y-x)^(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 < y,y < x+3), 
And(-(y-x)^(1/2) < z,z < (y-x)^(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 < y,y < x+3), z = (y-x)^(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 < y,y < x+3), (y-x)^(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-1 < y,
y < 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+2), z < -(y-x)^(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, 5, 2], [v = -2^(1/2), u = -3^(1/2),
And(-2 < x,x < -1), And(0 < y,y < x+2), z = -(y-x)^(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, 5, 3], [v =
-2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2), And(-(y-x)^(1/
2) < z,z < (y-x)^(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, 5, 4], [v = -2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), And(0 < y,y <
x+2), z = (y-x)^(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, 5, 5], [v = -2^(1/2), u = -3^(1/2), And(-2
< x,x < -1), And(0 < y,y < x+2), (y-x)^(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, 2, 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, 2,
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, 2, 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, 3, 7, 1
], [v = -2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), And(0 < y,y < x-u^
2+3), z < -(y-x)^(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, 7, 2], [v
= -2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), And(0 < y,y < x-u^2+3),
z = -(y-x)^(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, 7, 3], [v = -2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), And(0 <
y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 4], [v = -2^(1/2), And(-1 < u,u < 0
), And(u^2-3 < x,x < -1), And(0 < y,y < x-u^2+3), z = (y-x)^(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, 7, 5], [v = -2
^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), And(0 < y,y < x-u^2+3), (y-x
)^(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, 4, 5, 1], [v = -2^(1/2),
And(1 < u,u < -v), x = -1, And(u^2-2 < y,y < 0), z < -(y+1)^(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(u^2-2 < y,y < 0), z =
-(y+1)^(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(u^2-2 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(u^2-2 < y,y < 0), z = (y+1)^(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(u^2-2 < y,y < 0), (y+1)^(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-1, z <
-(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097
/2097152, 3299097/2097152], [-3, -3], [-3198693/2097152, -799673/524288], [-3,
-3]]]], [[2, 15, 1, 6, 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], [-3198693/2097152, -\
799673/524288], [-1273381/1048576, -318345/262144]]]], [[2, 15, 1, 6, 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], [-3198693/2097152, -799673/
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-1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-3, -3], [-\
3198693/2097152, -799673/524288], [318345/262144, 1273381/1048576]]]], [[2, 15
, 1, 6, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, y = u^2+x-1, (
u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-3, -3], [-3198693/2097152, -799673/524288
], [3, 3]]]], [[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 < 0), z = z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3, -3], [1, 1], [-5812145/2097152, -5812145/2097152], [0,
0]]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-\
4, -4], [0, 0], [-3, -3]]]], [[3, 3, 1, 8, 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, 8, 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, 8, 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, 8, 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, 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 = -u^2+v^2-1, z < 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -225185/
524288], [-450371/1048576, -225185/524288], [-1, -1]]]], [[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 = -
u^2+v^2-1, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-450371/1048576, -225185/524288], [-\
450371/1048576, -225185/524288], [0, 0]]]], [[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 = -u^2+v^2-1, 0 <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304,
-3949363/4194304], [-450371/1048576, -225185/524288], [-450371/1048576, -\
225185/524288], [1, 1]]]], [[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-u^2+v^2+1 < y,y < 0)
, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0
, 0], [-4, -4], [-1617841/2097152, -1617841/2097152], [-3, -3]]]], [[3, 9, 1,
7, 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(x-u^2+v^2+1 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [0, 0], [-4, -4], [-1617841/2097152, -\
1617841/2097152], [-471025/262144, -7536399/4194304]]]], [[3, 9, 1, 7, 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(x-u^2+v^2+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-4, -4], [-\
1617841/2097152, -1617841/2097152], [-3/8388608, -3/8388608]]]], [[3, 9, 1, 7,
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(x-u^2+v^2+1 < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [-4, -4], [-1617841/2097152, -\
1617841/2097152], [1884099/1048576, 471025/262144]]]], [[3, 9, 1, 7, 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(x-u^2+v^2+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [-4, -4], [-1617841/2097152, -1617841/
2097152], [3, 3]]]], [[4, 1, 1, 2, 1], [v = -1, u < -3^(1/2), x < -u^2, y = x-
u^2+2, z = z], [regular_chain, [[-1, -1], [-3, -3], [-10, -10], [-17, -17], [0
, 0]]]], [[4, 2, 3, 7, 1], [v = -1, u = -3^(1/2), And(-3 < x,x < -1), And(0 <
y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[4, 2, 3, 7, 2], [v = -1
, u = -3^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-2, -2], [1/2
, 1/2], [-3315889/2097152, -207243/131072]]]], [[4, 2, 3, 7, 3], [v = -1, u =
-3^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-
x)^(1/2))], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [
-2, -2], [1/2, 1/2], [0, 0]]]], [[4, 2, 3, 7, 4], [v = -1, u = -3^(1/2), And(-\
3 < x,x < -1), And(0 < y,y < x+3), z = (y-x)^(1/2)], [regular_chain, [[-1, -1]
, [-1816187/1048576, -3632373/2097152], [-2, -2], [1/2, 1/2], [207243/131072,
1657945/1048576]]]], [[4, 2, 3, 7, 5], [v = -1, u = -3^(1/2), And(-3 < x,x < -\
1), And(0 < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1816187
/1048576, -3632373/2097152], [-2, -2], [1/2, 1/2], [3, 3]]]], [[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 < -3^(1/2)], [regular_chain, [[-1, -1], [908093/524288,
1816187/1048576], [-1, -1], [2, 2], [-3, -3]]]], [[4, 14, 4, 8, 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, 8, 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, 8, 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, 8, 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, 9, 4, 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, 7, 5, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(0 < x,x < 1), And
(x < y,y < x+2), z < -(y-x)^(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, 5,
2], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+
2), z = -(y-x)^(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, 5, 3], [And(
-1 < v,v < 0), u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), And(-
(y-x)^(1/2) < z,z < (y-x)^(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, 5, 4]
, [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2)
, z = (y-x)^(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, 5, 5], [And(-1 < v,v <
0), u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), (y-x)^(1/2) < z]
, [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [1/2, 1/2
], [3/2, 3/2], [2, 2]]]], [[5, 6, 1, 5, 1], [And(-1 < v,v < 0), u = v, x < -1,
And(x+1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -\
1/2], [-2, -2], [-1/2, -1/2], [-3, -3]]]], [[5, 6, 1, 5, 2], [And(-1 < v,v < 0
), u = v, x < -1, And(x+1 < y,y < 0), z = -(y-x)^(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, 5, 3], [And(-1 < v,v < 0), u = v, x < -1, And(x+1 < y,y
< 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [
-1/2, -1/2], [-2, -2], [-1/2, -1/2], [0, 0]]]], [[5, 6, 1, 5, 4], [And(-1 < v,
v < 0), u = v, x < -1, And(x+1 < y,y < 0), z = (y-x)^(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, 5, 5], [And(-1 < v,v < 0), u = v, x < -1, And(x+1 < y,
y < 0), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2
], [-1/2, -1/2], [3, 3]]]], [[5, 9, 8, 6, 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], [
1472733/1048576, 736367/524288], [-3, -3]]]], [[5, 9, 8, 6, 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
], [1472733/1048576, 736367/524288], [-19417/16384, -1242687/1048576]]]], [[5,
9, 8, 6, 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], [1472733/1048576, 
736367/524288], [0, 0]]]], [[5, 9, 8, 6, 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], [1472733/1048576,
736367/524288], [1242687/1048576, 19417/16384]]]], [[5, 9, 8, 6, 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], [1472733/1048576, 736367/524288], [3, 3]]]], [[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
= z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1, -1],
[-1534619/1048576, -767309/524288], [0, 0]]]], [[6, 1, 11, 7, 1], [v = 0, u <
-2^(1/2), u^2-1 < x, And(x < y,y < u^2+x+1), z < -(y-x)^(1/2)], [regular_chain
, [[0, 0], [-3, -3], [9, 9], [14, 14], [-4, -4]]]], [[6, 1, 11, 7, 2], [v = 0,
u < -2^(1/2), u^2-1 < x, And(x < y,y < u^2+x+1), z = -(y-x)^(1/2)], [
regular_chain, [[0, 0], [-3, -3], [9, 9], [14, 14], [-146543/65536, -2344687/
1048576]]]], [[6, 1, 11, 7, 3], [v = 0, u < -2^(1/2), u^2-1 < x, And(x < y,y <
u^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [-3
, -3], [9, 9], [14, 14], [0, 0]]]], [[6, 1, 11, 7, 4], [v = 0, u < -2^(1/2), u
^2-1 < x, And(x < y,y < u^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [
-3, -3], [9, 9], [14, 14], [2344687/1048576, 146543/65536]]]], [[6, 1, 11, 7,
5], [v = 0, u < -2^(1/2), u^2-1 < x, And(x < y,y < u^2+x+1), (y-x)^(1/2) < z],
[regular_chain, [[0, 0], [-3, -3], [9, 9], [14, 14], [4, 4]]]], [[6, 3, 5, 3,
1], [v = 0, And(-2^(1/2) < u,u < -1), And(-1 < x,x < 0), And(x-u^2+1 < y,y < x
), z = z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1/
2, -1/2], [-24446187/33554432, -24446187/33554432], [0, 0]]]], [[6, 9, 8, 7, 1
], [v = 0, And(1 < u,u < 2^(1/2)), x = u^2-1, 2*u^2 < y, z < -(y-u^2+1)^(1/2)]
, [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [239655/524288,
479311/1048576], [4, 4], [-3, -3]]]], [[6, 9, 8, 7, 2], [v = 0, And(1 < u,u <
2^(1/2)), x = u^2-1, 2*u^2 < y, z = -(y-u^2+1)^(1/2)], [regular_chain, [[0, 0]
, [1265743/1048576, 1265743/1048576], [239655/524288, 479311/1048576], [4, 4],
[-7894761/4194304, -15789521/8388608]]]], [[6, 9, 8, 7, 3], [v = 0, And(1 < u,
u < 2^(1/2)), x = u^2-1, 2*u^2 < y, And(-(y-u^2+1)^(1/2) < z,z < (y-u^2+1)^(1/
2))], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [239655/
524288, 479311/1048576], [4, 4], [-1/16777216, -1/16777216]]]], [[6, 9, 8, 7,
4], [v = 0, And(1 < u,u < 2^(1/2)), x = u^2-1, 2*u^2 < y, z = (y-u^2+1)^(1/2)]
, [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [239655/524288,
479311/1048576], [4, 4], [986845/524288, 1973691/1048576]]]], [[6, 9, 8, 7, 5]
, [v = 0, And(1 < u,u < 2^(1/2)), x = u^2-1, 2*u^2 < y, (y-u^2+1)^(1/2) < z],
[regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [239655/524288, 
479311/1048576], [4, 4], [3, 3]]]], [[6, 11, 2, 3, 1], [v = 0, 2^(1/2) < u, x
= -u^2-1, And(-2*u^2 < y,y < -u^2-1), z = z], [regular_chain, [[0, 0], [3, 3],
[-10, -10], [-14, -14], [0, 0]]]], [[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 < 0, z = z], [regular_chain, [
[1/2, 1/2], [-343151/262144, -343151/262144], [1, 1], [-1, -1], [0, 0]]]], [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2
, 1/2], [-1696631/2097152, -1696631/2097152], [-1672995/2097152, -1672995/
2097152], [-212079/1048576, -106039/524288], [-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
= x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152], [-\
212079/1048576, -106039/524288], [-1618333/2097152, -3236665/4194304]]]], [[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 = x-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], [-\
1672995/2097152, -1672995/2097152], [-212079/1048576, -106039/524288], [-1/
8388608, -1/8388608]]]], [[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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(
1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-\
1672995/2097152, -1672995/2097152], [-212079/1048576, -106039/524288], [404583
/524288, 809167/1048576]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(
1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152],
[-1672995/2097152, -1672995/2097152], [-212079/1048576, -106039/524288], [2, 2
]]]], [[8, 1, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6,
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, 7, 1], [v = 1, u = -3^(1/2), x =
1, 4 < y, z < -(y-1)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [1, 1], [5, 5], [-3, -3]]]], [[8, 2, 8, 7, 2], [v = 1, u = -
3^(1/2), x = 1, 4 < y, z = -(y-1)^(1/2)], [regular_chain, [[1, 1], [-1816187/
1048576, -3632373/2097152], [1, 1], [5, 5], [-2, -2]]]], [[8, 2, 8, 7, 3], [v
= 1, u = -3^(1/2), x = 1, 4 < y, 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, 7, 4], [v = 1, u = -3^(1/2), x = 1, 4 < y, z = (y-1)^(1/
2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [1, 1], [5
, 5], [2, 2]]]], [[8, 2, 8, 7, 5], [v = 1, u = -3^(1/2), x = 1, 4 < y, (y-1)^(
1/2) < z], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [1,
1], [5, 5], [3, 3]]]], [[8, 7, 4, 7, 1], [v = 1, And(-1 < u,u < 0), x = -1, 
And(0 < y,y < -u^2+1), z < -(y+1)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2
], [-1, -1], [3/8, 3/8], [-3, -3]]]], [[8, 7, 4, 7, 2], [v = 1, And(-1 < u,u <
0), x = -1, And(0 < y,y < -u^2+1), z = -(y+1)^(1/2)], [regular_chain, [[1, 1],
[-1/2, -1/2], [-1, -1], [3/8, 3/8], [-1229565/1048576, -307391/262144]]]], [[8
, 7, 4, 7, 3], [v = 1, And(-1 < u,u < 0), x = -1, And(0 < 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], [3/8, 3/8], [0, 0]]]], [[8, 7, 4, 7, 4], [v = 1, And(-1 < u,u < 0), x = -\
1, And(0 < y,y < -u^2+1), z = (y+1)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1
/2], [-1, -1], [3/8, 3/8], [307391/262144, 1229565/1048576]]]], [[8, 7, 4, 7,
5], [v = 1, And(-1 < u,u < 0), x = -1, And(0 < y,y < -u^2+1), (y+1)^(1/2) < z]
, [regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [3/8, 3/8], [3, 3]]]], [[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(x < y,y < u^2+x), z < -(y-x)^(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(x < y,y < u^2+x), z = -(y-x)^(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(x < y,y < u^2+x), And(-(y-x)^
(1/2) < z,z < (y-x)^(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(x
< y,y < u^2+x), z = (y-x)^(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(x < y,y < u^2+x), (y-x)^(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 = 0, z < -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [0, 0], [-4, -4]]]
], [[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 = 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, 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 = 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, 6, 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, 6, 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, 8, 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], [-3, -3]]]], [[9, 5, 4, 8, 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], [-\
1270261/1048576, -317565/262144]]]], [[9, 5, 4, 8, 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, 8, 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], [317565/262144, 
1270261/1048576]]]], [[9, 5, 4, 8, 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], [3, 3]]]], [[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 < x-u^2+v^2+1), z < -(y-x)^(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 < x-u^2+v^2+1), z = -(y-x)^(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 < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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 < x-u^2+v^2+1),
z = (y-x)^(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 < x-u^2+v^2+1), (y-x)^(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 < 0), z < -(y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-3, -3],
[-1/2, -1/2], [-3, -3]]]], [[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 < 0), z = -(y-x)^(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, 5, 3], [And(1
< v,v < 2^(1/2)), u = (v^2-1)^(1/2), x < -2, And(x+2 < y,y < 0), And(-(y-x)^(1
/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [354469/524288, 708939/1048576], [-3, -3], [-1/2, -1/2], [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 <
0), z = (y-x)^(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, 5, 5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(
1/2), x < -2, And(x+2 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-3, -3], [-1/2, -\
1/2], [3, 3]]]], [[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 = 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], [225185/1048576, 112593/
524288], [-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 = 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], [225185/1048576, 112593/
524288], [-1374407/2097152, -687203/1048576]]]], [[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 = u^
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], [225185/1048576, 112593/524288], [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 = 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], [225185/1048576, 112593/524288], [687203/
1048576, 171801/262144]]]], [[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 = 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], [225185/1048576,
112593/524288], [2, 2]]]], [[9, 16, 1, 4, 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, 4, 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, 4, 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, 5, 5, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2)
< u, And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = 0, z < -(-x)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [-2, -2]
, [0, 0], [-3, -3]]]], [[10, 6, 1, 6, 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, 6, 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, 6,
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, 6, 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, 5, 1], [v = 2^(1/2), And(-v < u,u < -1), And(0 < x,x < 1), 
And(x < y,y < u^2+x-1), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [763943/
1048576, 763943/1048576], [-2, -2]]]], [[10, 7, 9, 5, 2], [v = 2^(1/2), And(-v
< u,u < -1), And(0 < x,x < 1), And(x < y,y < u^2+x-1), z = -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [1/2, 1/2], [763943/1048576, 763943/1048576], [-501295/1048576, -\
250647/524288]]]], [[10, 7, 9, 5, 3], [v = 2^(1/2), And(-v < u,u < -1), And(0
< x,x < 1), And(x < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [1/2, 1/2], [763943/1048576, 763943/1048576], [0, 0]]]], [[10, 7, 9,
5, 4], [v = 2^(1/2), And(-v < u,u < -1), And(0 < x,x < 1), And(x < y,y < u^2+x
-1), z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [1/2, 1/2], [763943/1048576, 763943/
1048576], [250647/524288, 501295/1048576]]]], [[10, 7, 9, 5, 5], [v = 2^(1/2),
And(-v < u,u < -1), And(0 < x,x < 1), And(x < y,y < u^2+x-1), (y-x)^(1/2) < z]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [1/2, 1/2], [763943/1048576, 763943/1048576], [2, 2]]]], [[
10, 11, 10, 7, 1], [v = 2^(1/2), And(0 < u,u < 1), x = 1, And(1 < y,y < -u^2+4
), 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, 7, 2], [v = 2^(1/2), 
And(0 < u,u < 1), x = 1, And(1 < y,y < -u^2+4), 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, 7, 3], [v = 2^(1/2
), And(0 < u,u < 1), x = 1, And(1 < y,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], [19/8, 19/8], [0, 0]]]], [[10, 11, 10, 7, 4], [v = 2^(1/2), And(0 < u,u
< 1), x = 1, And(1 < y,y < -u^2+4), 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, 7, 5], [v = 2^(1/2), And(0 < u,u < 1), x =
1, And(1 < y,y < -u^2+4), (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, 5, 6,
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, 6, 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, 6, 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, 6, 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, 6, 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,
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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain,
[[3, 3], [-3396811/1048576, -3396811/1048576], [-915943/524288, -915943/524288
], [391655/1048576, 391655/1048576], [-3, -3]]]], [[11, 3, 3, 7, 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 < u^2-v^2+x+1), z = -(y-x)^(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, 7
, 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 < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-915943/
524288, -915943/524288], [391655/1048576, 391655/1048576], [0, 0]]]], [[11, 3,
3, 7, 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 < u^2-v^2+x+1), z = (y-x)^(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, 7, 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 < u^2-v^2+x+1), (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-915943/524288,
-915943/524288], [391655/1048576, 391655/1048576], [3, 3]]]], [[11, 4, 7, 2, 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, 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 = x, z < 0], [regular_chain, [[3, 3], [
-22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [
-7357527/4194304, -7357527/4194304], [-1, -1]]]], [[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
= x, z = 0], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608],
[-7357527/4194304, -7357527/4194304], [-7357527/4194304, -7357527/4194304], [0
, 0]]]], [[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 = x, 0 < z], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [-\
7357527/4194304, -7357527/4194304], [1, 1]]]], [[11, 10, 5, 3, 1], [2^(1/2) <
v, u = -(v^2-2)^(1/2), And(-1 < x,x < 0), And(x-1 < y,y < x), z = z], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2], [-\
1, -1], [0, 0]]]], [[11, 16, 4, 5, 1], [2^(1/2) < v, u = v, x = 0, 1 < y, z <
-y^(1/2)], [regular_chain, [[3, 3], [3, 3], [0, 0], [2, 2], [-3, -3]]]], [[11,
16, 4, 5, 2], [2^(1/2) < v, u = v, x = 0, 1 < y, z = -y^(1/2)], [regular_chain
, [[3, 3], [3, 3], [0, 0], [2, 2], [-1482911/1048576, -741455/524288]]]], [[11
, 16, 4, 5, 3], [2^(1/2) < v, u = v, x = 0, 1 < y, And(-y^(1/2) < z,z < y^(1/2
))], [regular_chain, [[3, 3], [3, 3], [0, 0], [2, 2], [0, 0]]]], [[11, 16, 4,
5, 4], [2^(1/2) < v, u = v, x = 0, 1 < y, z = y^(1/2)], [regular_chain, [[3, 3
], [3, 3], [0, 0], [2, 2], [741455/524288, 1482911/1048576]]]], [[11, 16, 4, 5
, 5], [2^(1/2) < v, u = v, x = 0, 1 < y, y^(1/2) < z], [regular_chain, [[3, 3]
, [3, 3], [0, 0], [2, 2], [3, 3]]]], [[11, 17, 11, 5, 1], [2^(1/2) < v, And(v
< u,u < (v^2+1)^(1/2)), 1 < x, And(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)],
[regular_chain, [[3, 3], [403851/131072, 403851/131072], [2, 2], [590687/
262144, 590687/262144], [-2, -2]]]], [[11, 17, 11, 5, 2], [2^(1/2) < v, And(v
< u,u < (v^2+1)^(1/2)), 1 < x, And(x < y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)],
[regular_chain, [[3, 3], [403851/131072, 403851/131072], [2, 2], [590687/
262144, 590687/262144], [-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(x < y,y < x-u^2+
v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [2, 2], [590687/262144, 590687/262144], [-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(x < y,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [2, 2], [590687/262144
, 590687/262144], [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(x < y,y < x-u^2+v^2+1), (y-x
)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [2, 2],
[590687/262144, 590687/262144], [2, 2]]]], [[1, 2, 4, 2, 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, 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, 2*u^2
-2*v^2 < y, z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [129511/262144, 518045/1048576], [4, 4], [-3, -3]]
]], [[1, 3, 8, 7, 2], [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 = -(y-u^2+v^2+1)^(1/2)], [regular_chain,
[[-3, -3], [-3396811/1048576, -3396811/1048576], [129511/262144, 518045/
1048576], [4, 4], [-7853497/4194304, -981687/524288]]]], [[1, 3, 8, 7, 3], [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, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [129511/262144
, 518045/1048576], [4, 4], [0, 0]]]], [[1, 3, 8, 7, 4], [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 = (y-u^
2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [129511/262144, 518045/1048576], [4, 4], [981687/524288, 1963375/
1048576]]]], [[1, 3, 8, 7, 5], [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, (y-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [129511/262144
, 518045/1048576], [4, 4], [3, 3]]]], [[1, 8, 2, 3, 1], [v < -2^(1/2), u = -(v
^2-1)^(1/2), x = -2, And(-2 < y,y < 0), z < -(y+2)^(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(-2 < y,y <
0), z = -(y+2)^(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(-2 < y,y < 0), And(-(y+2)^(1/2) < z,z < (y+2)^(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(-2 < y,y < 0), z = (y+2)^(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(-2 < y,y < 0), (y+2)^(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 = -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], [3163223/1048576, 395403/131072], [-3, -3]]]],
[[1, 9, 8, 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 = -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]
, [3163223/1048576, 395403/131072], [-3321417/2097152, -415177/262144]]]], [[1
, 9, 8, 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 = -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], [3163223/1048576, 395403/131072], [0, 0]]]], [
[1, 9, 8, 6, 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],
[3163223/1048576, 395403/131072], [415177/262144, 1660709/1048576]]]], [[1, 9,
8, 6, 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], [
3163223/1048576, 395403/131072], [3, 3]]]], [[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(-u^2+v^2-1 < y,y < 0), 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, 3, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v
), x = -u^2+v^2-1, And(-u^2+v^2-1 < y,y < 0), 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, 3, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
x = -u^2+v^2-1, And(-u^2+v^2-1 < 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], [-516571/2097152, -516571/2097152
], [0, 0]]]], [[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(-u^2+v^2-1 < y,y < 0), 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, 3, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x
= -u^2+v^2-1, And(-u^2+v^2-1 < y,y < 0), (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, 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 = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-2614535/2097152, -2614535/2097152], [0, 0], [-3, -3]]]], [[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 = 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, 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 = 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, 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 = 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, 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 = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [0, 0], [3, 3]]]
], [[1, 21, 4, 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,
4, 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, 4, 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, 6, 7, 1], [v = -2^
(1/2), u < -2, x = 0, u^2-1 < y, z < -y^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [0, 0], [9, 9], [-4, -4]]]], [[2, 1, 6, 7,
2], [v = -2^(1/2), u < -2, x = 0, u^2-1 < y, z = -y^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [-3, -3], [0, 0], [9, 9], [-3, -3]]]], [[2,
1, 6, 7, 3], [v = -2^(1/2), u < -2, x = 0, u^2-1 < y, 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, 7, 4], [v = -2^(1/2), u < -2, x = 0, u^2-1 < y,
z = y^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [
0, 0], [9, 9], [3, 3]]]], [[2, 1, 6, 7, 5], [v = -2^(1/2), u < -2, x = 0, u^2-\
1 < y, y^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3,
-3], [0, 0], [9, 9], [4, 4]]]], [[2, 10, 6, 1, 1], [v = -2^(1/2), u = 0, x = 0
, y < -1, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0],
[0, 0], [-2, -2], [0, 0]]]], [[2, 11, 10, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 5, 1, 1], [v = -2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), y < x, z = z
], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 
1816187/1048576], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[2, 17, 10, 7, 1], [v =
-2^(1/2), And(3^(1/2) < u,u < 2), x = 1, And(1 < y,y < u^2), 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, 7, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 1, And(1 < y,y < u
^2), 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, 7, 3], [v = -2^(1/2), And(3^(1
/2) < u,u < 2), x = 1, And(1 < y,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], [4699771/2097152, 4699771/2097152], [0, 0]]]], [[2,
17, 10, 7, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 1, And(1 < y,y < u^2
), 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, 7, 5], [v = -2^(1/2), And(3^(1/2
) < u,u < 2), x = 1, And(1 < y,y < u^2), (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, 5, 3, 1], [And(-2^(1/2)
< v,v < -1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-
x)^(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,
3, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(x
< y,y < 0), z = -(y-x)^(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, 3, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2),
And(-1 < x,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [
And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(x < y,y <
0), z = (y-x)^(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, 3, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-1 < x,x
< 0), And(x < y,y < 0), (y-x)^(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, 9, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/
2) < u,u < v), x = 1, u^2-v^2+2 < y, z < -(y-1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [1,
1], [4, 4], [-3, -3]]]], [[3, 5, 10, 9, 2], [And(-2^(1/2) < v,v < -1), And(-(v
^2+1)^(1/2) < u,u < v), x = 1, u^2-v^2+2 < y, 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, 9, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x =
1, u^2-v^2+2 < y, 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, 9, 4], [And(-2^(1/2) < v,
v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 1, u^2-v^2+2 < y, 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, 9, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 1, u^
2-v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [1, 1], [4, 4], [3, 3]]]], [[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, 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, 2, 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, 2,
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, 10, 8, 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], [673839/262144, 2695357/
1048576], [-3, -3]]]], [[3, 11, 10, 8, 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], [673839/262144, 2695357/1048576], [-1314069/1048576, -328517
/262144]]]], [[3, 11, 10, 8, 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], [673839/262144, 2695357/1048576], [0, 0]]]],
[[3, 11, 10, 8, 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], [673839/
262144, 2695357/1048576], [328517/262144, 1314069/1048576]]]], [[3, 11, 10, 8,
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], [673839/262144, 2695357/
1048576], [3, 3]]]], [[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 < x-u^2+v^2+1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[3, 16, 7, 6, 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, 6, 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, 6, 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, 2, 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], [-497807/1048576, -248903/524288], [0, 0]]]], [[4, 5, 1, 7, 1], [v =
-1, And(-2^(1/2) < u,u < -1), x < -u^2, And(u^2+x < y,y < 0), z < -(y-x)^(1/2)
], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3, -3],
[-1617841/2097152, -1617841/2097152], [-3, -3]]]], [[4, 5, 1, 7, 2], [v = -1,
And(-2^(1/2) < u,u < -1), x < -u^2, And(u^2+x < y,y < 0), z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3, -3], [-\
1617841/2097152, -1617841/2097152], [-782675/524288, -1565349/1048576]]]], [[4
, 5, 1, 7, 3], [v = -1, And(-2^(1/2) < u,u < -1), x < -u^2, And(u^2+x < y,y <
0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-3, -3], [-1617841/2097152, -1617841/
2097152], [0, 0]]]], [[4, 5, 1, 7, 4], [v = -1, And(-2^(1/2) < u,u < -1), x <
-u^2, And(u^2+x < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-3, -3], [-1617841/2097152, -1617841/
2097152], [1565349/1048576, 782675/524288]]]], [[4, 5, 1, 7, 5], [v = -1, And(
-2^(1/2) < u,u < -1), x < -u^2, And(u^2+x < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3, -3], [-\
1617841/2097152, -1617841/2097152], [3, 3]]]], [[4, 11, 6, 7, 1], [v = -1, And
(1 < u,u < 2^(1/2)), x = u^2-2, 2*u^2-2 < y, z < -(y-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1138531/
2097152, -569265/1048576], [2, 2], [-3, -3]]]], [[4, 11, 6, 7, 2], [v = -1, 
And(1 < u,u < 2^(1/2)), x = u^2-2, 2*u^2-2 < y, z = -(y-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1138531/
2097152, -569265/1048576], [2, 2], [-1672107/1048576, -3344213/2097152]]]], [[
4, 11, 6, 7, 3], [v = -1, And(1 < u,u < 2^(1/2)), x = u^2-2, 2*u^2-2 < y, And(
-(y-u^2+2)^(1/2) < z,z < (y-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576], [2, 2]
, [-1/4194304, -1/4194304]]]], [[4, 11, 6, 7, 4], [v = -1, And(1 < u,u < 2^(1/
2)), x = u^2-2, 2*u^2-2 < y, z = (y-u^2+2)^(1/2)], [regular_chain, [[-1, -1],
[1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576], [2, 2
], [836053/524288, 1672107/1048576]]]], [[4, 11, 6, 7, 5], [v = -1, And(1 < u,
u < 2^(1/2)), x = u^2-2, 2*u^2-2 < y, (y-u^2+2)^(1/2) < z], [regular_chain, [[
-1, -1], [1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/
1048576], [2, 2], [3, 3]]]], [[4, 13, 2, 3, 1], [v = -1, And(2^(1/2) < u,u < 3
^(1/2)), x = -u^2, And(-2*u^2+2 < y,y < -u^2), z = z], [regular_chain, [[-1, -\
1], [3299097/2097152, 3299097/2097152], [-1297479/524288, -2594957/1048576], [
-91003539/33554432, -91003539/33554432], [0, 0]]]], [[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 <
-(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, 8, 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, 8, 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, 8, 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, 8, 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, 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 = 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, 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 = 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, 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 = 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, 6, 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, 6, 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,
5, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 0, And(0 <
y,y < 3), 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, 5, 3], [And(-1 <
v,v < 0), u = (v^2+2)^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 0, And(0 < y
,y < 3), 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, 5, 5], [And(-1 < v,v
< 0), u = (v^2+2)^(1/2), x = 0, And(0 < y,y < 3), y^(1/2) < z], [regular_chain
, [[-1/2, -1/2], [3/2, 3/2], [0, 0], [3/2, 3/2], [3, 3]]]], [[5, 13, 11, 3, 1]
, [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, And(0 < y,y < x-u^2+v^
2+1), z = z], [regular_chain, [[-1/2, -1/2], [3, 3], [9, 9], [5/8, 5/8], [0, 0
]]]], [[6, 4, 9, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 4, 1, 1], [v = 0, u = 0, x = 0, y < 0, z = z]
, [regular_chain, [[0, 0], [0, 0], [0, 0], [-1, -1], [0, 0]]]], [[7, 1, 4, 8,
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, 8, 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, 8, 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, 8, 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, 8, 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, 7, 4, 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, 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 < 0), z < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-5/4, -5/4], [-1/4, -1/4], [-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 < 0), z = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0
, 0], [-5/4, -5/4], [-1/4, -1/4], [-1, -1]]]], [[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 < 0), And(-(y-u^
2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [0,
0], [-5/4, -5/4], [-1/4, -1/4], [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 < 0), z = (y-u^2+v^2
+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-5/4, -5/4], [-1/4, -1/4], [
1, 1]]]], [[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 < 0), (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1/2
, 1/2], [0, 0], [-5/4, -5/4], [-1/4, -1/4], [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(1 < y,y < u^2-v^2+2), 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, 7, 2], [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 = -(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, 7
, 3], [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), 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, 7, 4], [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 = (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, 7,
5], [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), (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, 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 < -(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, 8, 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, 8, 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, 8, 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, 8, 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, 1, 1], [v = 1, u = -2^(1/2), x < -2, y < x, z = z], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-3, -3], [-4, -4]
, [0, 0]]]], [[8, 5, 7, 2, 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], [-284633/1048576, -35579/131072]
, [-1, -1]]]], [[8, 5, 7, 2, 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], [-284633/1048576, -35579/131072]
, [0, 0]]]], [[8, 5, 7, 2, 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], [-284633/1048576, -35579/131072]
, [1, 1]]]], [[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(0 < y,y < x), 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(0 < y,y < 2), z < -
(y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-1, -1], [1, 1], [-3, -3]]]], [[9, 2, 4, 7, 2], [
And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 2), z = -(y+
1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-1, -1], [1, 1], [-1482911/1048576, -741455/
524288]]]], [[9, 2, 4, 7, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x =
-1, And(0 < y,y < 2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1
, -1], [1, 1], [0, 0]]]], [[9, 2, 4, 7, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2
+2)^(1/2), x = -1, And(0 < y,y < 2), z = (y+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1,
-1], [1, 1], [741455/524288, 1482911/1048576]]]], [[9, 2, 4, 7, 5], [And(1 < v
,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 2), (y+1)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1, -1], [1, 1], [3, 3]]]], [[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 < 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [775271/1048576, 775271/1048576], [-1, -\
1], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[1265743
/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/
4194304, -3213833/4194304], [-3213833/4194304, -3213833/4194304], [-1, -1]]]],
[[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 = x, z = 0], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/4194304, -\
3213833/4194304], [-3213833/4194304, -3213833/4194304], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[1454701/1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [-\
3213833/4194304, -3213833/4194304], [1, 1]]]], [[9, 14, 9, 1, 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], [-1, -1]
, [0, 0]]]], [[10, 1, 8, 5, 1], [v = 2^(1/2), u < -2, x = 1, And(0 < y,y < 1),
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 = u^2+x-1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-4, -4], [-\
1591685/1048576, -3183369/2097152], [-3, -3]]]], [[10, 3, 1, 6, 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], [-1591685/1048576, -3183369/2097152], [-825991/524288, -\
3303963/2097152]]]], [[10, 3, 1, 6, 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], [-1591685/1048576, -3183369/2097152], [-1/4194304, -1/
4194304]]]], [[10, 3, 1, 6, 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], [-1591685/
1048576, -3183369/2097152], [1651981/1048576, 825991/524288]]]], [[10, 3, 1, 6
, 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], [-1591685/1048576, -3183369/2097152], [3
, 3]]]], [[10, 9, 5, 3, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0)
, And(u^2+x-1 < y,y < x), z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1/2, -1/2], [-1/2, -1/2], [-7/8, -7/8], [0, 0]]]], [[10, 10, 7, 4,
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, 4, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y
= x-u^2+3, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/
2097152], [-1493417/2097152, -186677/262144], [-2, -2]]]], [[10, 15, 3, 4, 2],
[v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y = x-u^2+3, z =
-(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-2594957/2097152, -2594957/2097152], [-1493417/
2097152, -186677/262144], [-1519901/2097152, -379975/524288]]]], [[10, 15, 3,
4, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y = x-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], [-2594957/
2097152, -2594957/2097152], [-1493417/2097152, -186677/262144], [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 = x-u^2+3, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/
2097152], [-1493417/2097152, -186677/262144], [379975/524288, 759951/1048576]]
]], [[10, 15, 3, 4, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x
< -1), y = x-u^2+3, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-2594957/2097152, -\
2594957/2097152], [-1493417/2097152, -186677/262144], [2, 2]]]], [[10, 16, 6,
4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 6, 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, 6, 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, 6, 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, 5, 1], [2^(1/2) < v, u <
-(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(0 < y,y < x), 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(-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, 7, 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, 7, 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, 7, 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, 7, 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, 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
= 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-516571/2097152, -516571/2097152], [0, 0], [-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 = 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, 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 = 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, 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 = 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, 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 = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-516571/2097152, -516571/2097152], [0, 0], [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(0 < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[3,
3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [526475/524288, 526475/
524288], [-3, -3]]]], [[11, 13, 5, 7, 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-u^2+v^2+1), z = -(y-x)^
(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, 7, 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-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [
526475/524288, 526475/524288], [0, 0]]]], [[11, 13, 5, 7, 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-u
^2+v^2+1), z = (y-x)^(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, 7, 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-u^2+v^2+1), (y-x)^(1/2) <
z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [
526475/524288, 526475/524288], [3, 3]]]], [[11, 14, 9, 6, 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, 6,
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, 6, 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, 6, 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, 6, 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, 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 = x, z
< 0], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2
], [-1/2, -1/2], [-1, -1]]]], [[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 = x, z = 0], [regular_chain,
[[3, 3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [-1/2, -1/2], [0, 0
]]]], [[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 = x, 0 < z], [regular_chain, [[3, 3], [3396811/
1048576, 3396811/1048576], [-1/2, -1/2], [-1/2, -1/2], [1, 1]]]], [[11, 20, 7,
5, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), And(0 < x,x < 1), And(0 < y,y < x), 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), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [-2, -2], [2, 2], [-3, -3]]]], [[1, 2, 3, 9
, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), x+3 < y, z = -(y-
x)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-2
, -2], [2, 2], [-2, -2]]]], [[1, 2, 3, 9, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2
), And(-3 < x,x < -1), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-2, -2], [2, 2
], [0, 0]]]], [[1, 2, 3, 9, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-3 < x,
x < -1), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-1738867/
524288, -3477733/1048576], [-2, -2], [2, 2], [2, 2]]]], [[1, 2, 3, 9, 5], [v <
-2^(1/2), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), x+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-2, -2], [2, 2
], [3, 3]]]], [[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 < 0, z = z], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [129511/262144, 518045/1048576], [-1, -1],
[0, 0]]]], [[1, 8, 4, 5, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -1, And(0
< y,y < 1), z < -(y+1)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [-1, -1], [1/2, 1/2], [-3, -3]]]], [[1, 8, 4, 5, 2], [v < -
2^(1/2), u = -(v^2-1)^(1/2), x = -1, And(0 < y,y < 1), z = -(y+1)^(1/2)], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-1, -1], [1/
2, 1/2], [-1284239/1048576, -642119/524288]]]], [[1, 8, 4, 5, 3], [v < -2^(1/2
), u = -(v^2-1)^(1/2), x = -1, And(0 < y,y < 1), And(-(y+1)^(1/2) < z,z < (y+1
)^(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 = (y+1)^(1/2)], [regular_chain, [[-3, -3],
[-2965821/1048576, -11863283/4194304], [-1, -1], [1/2, 1/2], [642119/524288, 
1284239/1048576]]]], [[1, 8, 4, 5, 5], [v < -2^(1/2), u = -(v^2-1)^(1/2), x =
-1, And(0 < y,y < 1), (y+1)^(1/2) < z], [regular_chain, [[-3, -3], [-2965821/
1048576, -11863283/4194304], [-1, -1], [1/2, 1/2], [3, 3]]]], [[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), x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [395403/524288, 395403/524288], [5, 5],
[-4, -4]]]], [[1, 9, 9, 9, 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), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [395403/
524288, 395403/524288], [5, 5], [-1080317/524288, -2160633/1048576]]]], [[1, 9
, 9, 9, 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), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [395403/
524288, 395403/524288], [5, 5], [0, 0]]]], [[1, 9, 9, 9, 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), x-u^2+v
^2+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [395403/524288, 395403/524288], [5, 5], [2160633/1048576, 
1080317/524288]]]], [[1, 9, 9, 9, 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), x-u^2+v^2+1 < y, (y-x)^(1/2) < z
], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [395403/
524288, 395403/524288], [5, 5], [4, 4]]]], [[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 < -u^2+v^2-1, z = z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-129143/262144,
-516571/1048576], [-2, -2], [0, 0]]]], [[1, 17, 2, 7, 1], [v < -2^(1/2), And(-
v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, 0 < y, 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, 7, 2], [v < -2^(1/2), And(-
v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, 0 < y, 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,
7, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, 0 < y, 
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, 7, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)),
x = -u^2+v^2-1, 0 < y, 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, 7, 5], [v < -2^(1/2), And(-v <
u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, 0 < y, (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, 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 < -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2], [18, 18], [-6, -6]]]], [[1, 21
, 5, 9, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), u^2-v^2+x+1 <
y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2], [18, 18
], [-281881/65536, -4510095/1048576]]]], [[1, 21, 5, 9, 3], [v < -2^(1/2), (v^
2+2)^(1/2) < u, And(-1 < x,x < 0), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2], [18, 18], [0, 0
]]]], [[1, 21, 5, 9, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-1 < x,x < 0),
u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-1/2, -\
1/2], [18, 18], [4510095/1048576, 281881/65536]]]], [[1, 21, 5, 9, 5], [v < -2
^(1/2), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), u^2-v^2+x+1 < y, (y-x)^(1/2) < z
], [regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2], [18, 18], [6, 6]]]], [[2,
1, 8, 1, 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], [-6, -6], [0, 0]]]], [[
2, 10, 4, 9, 1], [v = -2^(1/2), u = 0, x = -1, 2 < y, z < -(y+1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1, -1], [3, 3],
[-3, -3]]]], [[2, 10, 4, 9, 2], [v = -2^(1/2), u = 0, x = -1, 2 < y, z = -(y+1
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1, -1
], [3, 3], [-2, -2]]]], [[2, 10, 4, 9, 3], [v = -2^(1/2), u = 0, x = -1, 2 < y
, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [0, 0], [-1, -1], [3, 3], [0, 0]]]], [[2, 10, 4, 9, 4], [v =
-2^(1/2), u = 0, x = -1, 2 < y, z = (y+1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [0, 0], [-1, -1], [3, 3], [2, 2]]]], [[2, 10, 4, 9,
5], [v = -2^(1/2), u = 0, x = -1, 2 < y, (y+1)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-1, -1], [3, 3], [3, 3]]]], [[2, 11
, 9, 3, 1], [v = -2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), And(0 < y,
y < u^2+x-1), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/
2, 1/2], [7/8, 7/8], [1/16, 1/16], [0, 0]]]], [[2, 16, 5, 7, 1], [v = -2^(1/2)
, u = 3^(1/2), And(-1 < x,x < 0), x+2 < y, z < -(y-x)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-1/2,
-1/2], [3, 3], [-3, -3]]]], [[2, 16, 5, 7, 2], [v = -2^(1/2), u = 3^(1/2), And
(-1 < x,x < 0), x+2 < y, z = -(y-x)^(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, 7, 3], [v = -2^(1/2), u = 3^(
1/2), And(-1 < x,x < 0), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [3, 3], [0, 0]]]], [[2, 16, 5, 7, 4], [v = -2^(1/2), u
= 3^(1/2), And(-1 < x,x < 0), x+2 < y, z = (y-x)^(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, 7, 5], [v = -2^(1
/2), u = 3^(1/2), And(-1 < x,x < 0), x+2 < y, (y-x)^(1/2) < z], [regular_chain
, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-1/2
, -1/2], [3, 3], [3, 3]]]], [[2, 17, 10, 9, 1], [v = -2^(1/2), And(3^(1/2) < u
,u < 2), x = 1, u^2 < y, z < -(y-1)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [3913339/2097152, 3913339/2097152], [1, 1], [5, 5], [-3, -3
]]]], [[2, 17, 10, 9, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 1, u^2 <
y, z = -(y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [1, 1], [5, 5], [-2, -2]]]], [[2, 17, 10, 9
, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 1, u^2 < y, 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, 9,
4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 1, u^2 < y, z = (y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [1, 1], [5, 5], [2, 2]]]], [[2, 17, 10, 9, 5], [v = -2^(1/2), And(3^
(1/2) < u,u < 2), x = 1, u^2 < y, (y-1)^(1/2) < z], [regular_chain, [[-1482911
/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [1, 1], [5, 5],
[3, 3]]]], [[3, 4, 3, 7, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), 
And(-2 < x,x < -1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2],
[2, 2], [-3, -3]]]], [[3, 4, 3, 7, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)
^(1/2), And(-2 < x,x < -1), x+2 < y, z = -(y-x)^(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, 7, 3], [And(-
2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y, And(-(y-
x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2], [2, 2], [0, 0]]]],
[[3, 4, 3, 7, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-2 < x,x
< -1), x+2 < y, z = (y-x)^(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, 7, 5], [And(-2^(1/2) < v,v < -1), u =
-(v^2+1)^(1/2), And(-2 < x,x < -1), x+2 < y, (y-x)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-3
/2, -3/2], [2, 2], [3, 3]]]], [[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 = 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, 4, 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, 4, 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, 6, 1, 1], [
And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = 0, y < 0, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [0, 0], [-1, -1], [0, 0]]]], [[3, 11, 11, 1, 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],
[-1, -1], [0, 0]]]], [[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 < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-1, -1], [1550541/1048576, 775271/524288], [-3, -3]]]], [[3, 15, 4,
8, 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], [1550541/
1048576, 775271/524288], [-3301741/2097152, -825435/524288]]]], [[3, 15, 4, 8,
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], [1550541/1048576, 775271/524288], [0, 0]]]], [[3, 15, 4, 8,
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], [1550541/1048576,
775271/524288], [825435/524288, 1650871/1048576]]]], [[3, 15, 4, 8, 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], [1550541/1048576, 775271/
524288], [3, 3]]]], [[3, 16, 6, 7, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^
(1/2), x = 0, 3 < y, z < -y^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [121853/65536, 1949649/1048576], [0, 0], [4, 4], [-3, -3]]]]
, [[3, 16, 6, 7, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 0, 3 <
y, z = -y^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
121853/65536, 1949649/1048576], [0, 0], [4, 4], [-2, -2]]]], [[3, 16, 6, 7, 3]
, [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 0, 3 < y, 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, 7, 4], [And(-
2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 0, 3 < y, z = y^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [0, 0], [4, 4], [2, 2]]]], [[3, 16, 6, 7, 5], [And(-2^(1/2) < v,v <
-1), u = (v^2+2)^(1/2), x = 0, 3 < y, y^(1/2) < z], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [0, 0], [4, 4],
[3, 3]]]], [[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 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [248903/1048576, 248903/1048576], [4, 4],
[-3, -3]]]], [[4, 3, 7, 9, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(0
< x,x < u^2-2), u^2+x < y, z = -(y-x)^(1/2)], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [248903/1048576, 248903/1048576], [4, 4],
[-32543595/16777216, -16271797/8388608]]]], [[4, 3, 7, 9, 3], [v = -1, And(-3^
(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), u^2+x < y, And(-(y-x)^(1/2) < z
,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [248903/1048576, 248903/1048576], [4, 4], [-5/16777216, -5/16777216]
]]], [[4, 3, 7, 9, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x <
u^2-2), u^2+x < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [248903/1048576, 248903/1048576], [4, 4], [1016987
/524288, 2033975/1048576]]]], [[4, 3, 7, 9, 5], [v = -1, And(-3^(1/2) < u,u <
-2^(1/2)), And(0 < x,x < u^2-2), u^2+x < y, (y-x)^(1/2) < z], [regular_chain,
[[-1, -1], [-6598195/4194304, -6598195/4194304], [248903/1048576, 248903/
1048576], [4, 4], [3, 3]]]], [[4, 5, 3, 1, 1], [v = -1, And(-2^(1/2) < u,u < -\
1), And(-u^2 < x,x < -1), y < x, z = z], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [-3, -3], [0
, 0]]]], [[4, 11, 6, 5, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = u^2-2, And(0
< y,y < 2*u^2-2), z < -(y-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576], [958621/
2097152, 958621/2097152], [-2, -2]]]], [[4, 11, 6, 5, 2], [v = -1, And(1 < u,u
< 2^(1/2)), x = u^2-2, And(0 < y,y < 2*u^2-2), z = -(y-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1138531/
2097152, -569265/1048576], [958621/2097152, 958621/2097152], [-2199023028127/
2199023255552, -8796092112507/8796093022208]]]], [[4, 11, 6, 5, 3], [v = -1, 
And(1 < u,u < 2^(1/2)), x = u^2-2, And(0 < y,y < 2*u^2-2), And(-(y-u^2+2)^(1/2
) < z,z < (y-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [1265743/1048576, 
1265743/1048576], [-1138531/2097152, -569265/1048576], [958621/2097152, 958621
/2097152], [-7478907/17592186044416, -7478907/17592186044416]]]], [[4, 11, 6,
5, 4], [v = -1, And(1 < u,u < 2^(1/2)), x = u^2-2, And(0 < y,y < 2*u^2-2), z =
(y-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576
], [-1138531/2097152, -569265/1048576], [958621/2097152, 958621/2097152], [
1048575/1048576, 1]]]], [[4, 11, 6, 5, 5], [v = -1, And(1 < u,u < 2^(1/2)), x
= u^2-2, And(0 < y,y < 2*u^2-2), (y-u^2+2)^(1/2) < z], [regular_chain, [[-1, -\
1], [1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576], [
958621/2097152, 958621/2097152], [2, 2]]]], [[4, 13, 1, 6, 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], [-3198693/2097152, -799673/
524288], [-3, -3]]]], [[4, 13, 1, 6, 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], [-3198693/2097152, -799673/524288], [-3299097/
2097152, -3299097/2097152]]]], [[4, 13, 1, 6, 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], [-3198693/2097152, -799673/
524288], [-1/4194304, -1/4194304]]]], [[4, 13, 1, 6, 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], [-3198693/2097152, -799673/524288
], [412387/262144, 1649549/1048576]]]], [[4, 13, 1, 6, 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], [-3198693/2097152, -799673/524288
], [3, 3]]]], [[5, 1, 11, 6, 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, 6, 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, 6, 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, 7, 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 < u^2-v^2), z < -(y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1, -1], [
767309/1048576, 767309/1048576], [-3, -3]]]], [[5, 3, 4, 7, 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 < u^2-v^
2), z = -(y+1)^(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, 7, 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 < u^2-v^2), And(-(y+1)^(1/2) < z,z <
(y+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144]
, [-1, -1], [767309/1048576, 767309/1048576], [0, 0]]]], [[5, 3, 4, 7, 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 < u^2-v^2), z = (y+1)^(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, 7, 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 < u^2-v^2), (y+1)^(1/2) <
z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1, -1],
[767309/1048576, 767309/1048576], [3, 3]]]], [[5, 12, 5, 4, 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, 4
, 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, 4, 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, 9, 5, 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 < x), 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(x-u^2+1 < y,y < u^2+x+1), z < -(y-x)^(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(x-u^2+1 < y,y < u^
2+x+1), z = -(y-x)^(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(x-u^2+1 < y,y < u^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x-u^2+1 < y,y < u^2+x+1),
z = (y-x)^(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(x-u^2+1
< y,y < u^2+x+1), (y-x)^(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(0 < y,
y < 1), 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(0 < y,y < 1), 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(0 < y,y < 1),
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(0 < y,y < 1), 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(0 < y,y < 1), 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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2
], [-3, -3], [-43/8, -43/8], [35/16, 35/16], [-4, -4]]]], [[7, 1, 3, 7, 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
< u^2-v^2+x+1), z = -(y-x)^(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, 7, 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 < u^2-v^2+x+
1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-3,
-3], [-43/8, -43/8], [35/16, 35/16], [0, 0]]]], [[7, 1, 3, 7, 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 < u^2-v^2+x+
1), z = (y-x)^(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, 7, 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 < u^2-v^2+x+1), (y-x)^(1/2)
< z], [regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -43/8], [35/16, 35/16], [
4, 4]]]], [[7, 2, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 3, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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
, 1, 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], [-1, -1], [0, 0]]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[1/2,
1/2], [3, 3], [-43/8, -43/8], [0, 0], [-4, -4]]]], [[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 = 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, 6, 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, 6, 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, 6, 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,
2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 7, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = 0, u^2
< y, z < -y^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [0, 0], [3, 3], [-3, -3]]]], [[8, 5, 8, 7, 2], [v = 1, And(-2^(1/2)
< u,u < -1), x = 0, u^2 < y, z = -y^(1/2)], [regular_chain, [[1, 1], [-1265743
/1048576, -1265743/1048576], [0, 0], [3, 3], [-1816187/1048576, -3632373/
2097152]]]], [[8, 5, 8, 7, 3], [v = 1, And(-2^(1/2) < u,u < -1), x = 0, u^2 <
y, 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, 7,
4], [v = 1, And(-2^(1/2) < u,u < -1), x = 0, u^2 < y, z = y^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [0, 0], [3, 3],
[908093/524288, 1816187/1048576]]]], [[8, 5, 8, 7, 5], [v = 1, And(-2^(1/2) <
u,u < -1), x = 0, u^2 < y, y^(1/2) < z], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [0, 0], [3, 3], [3, 3]]]], [[8, 11, 11, 7, 1], [v
= 1, And(1 < u,u < 2^(1/2)), 1 < x, And(x-u^2+2 < y,y < u^2+x), z < -(y-x)^(1/
2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [2, 2], [3,
3], [-2, -2]]]], [[8, 11, 11, 7, 2], [v = 1, And(1 < u,u < 2^(1/2)), 1 < x, 
And(x-u^2+2 < y,y < u^2+x), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [2, 2], [3, 3], [-1, -1]]]], [[8, 11, 11, 7
, 3], [v = 1, And(1 < u,u < 2^(1/2)), 1 < x, And(x-u^2+2 < y,y < u^2+x), And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [1265743/1048576,
1265743/1048576], [2, 2], [3, 3], [0, 0]]]], [[8, 11, 11, 7, 4], [v = 1, And(1
< u,u < 2^(1/2)), 1 < x, And(x-u^2+2 < y,y < u^2+x), z = (y-x)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [2, 2], [3, 3], [1
, 1]]]], [[8, 11, 11, 7, 5], [v = 1, And(1 < u,u < 2^(1/2)), 1 < x, And(x-u^2+
2 < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576,
1265743/1048576], [2, 2], [3, 3], [2, 2]]]], [[8, 13, 7, 3, 1], [v = 1, And(2^
(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), And(x-u^2+2 < y,y < 0), z = z],
[regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [497805/2097152,
497805/2097152], [-248903/2097152, -248903/2097152], [0, 0]]]], [[9, 2, 5, 8,
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,
8, 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, 8, 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, 8, 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, 8, 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, 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 = 1, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [1,
1], [1, 1], [-1, -1]]]], [[9, 3, 10, 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, 10, 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 0, (-x)^(1/2
) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576,
1454701/1048576], [-2587387/2097152, -2587387/2097152], [0, 0], [3, 3]]]], [[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 < x+2), z < -(y-x)^(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, 5, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(
0 < x,x < 1), And(x < y,y < x+2), z = -(y-x)^(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, 5, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(
1/2), And(0 < x,x < 1), And(x < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 5, 4], [And(1 <
v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z = (
y-x)^(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, 5, 5],
[And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(0 < x,x < 1), And(x < y,y < x+
2), (y-x)^(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
, 7, 1], [v = 2^(1/2), u < -2, x = 1, And(1 < y,y < u^2), z < -(y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [1, 1], [5, 5], [-\
3, -3]]]], [[10, 1, 8, 7, 2], [v = 2^(1/2), u < -2, x = 1, And(1 < y,y < u^2),
z = -(y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3]
, [1, 1], [5, 5], [-2, -2]]]], [[10, 1, 8, 7, 3], [v = 2^(1/2), u < -2, x = 1,
And(1 < y,y < u^2), 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, 7, 4], [v = 2^(1/2), u < -2, x = 1, And(1 < y,y < u^2), z = (y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [1, 1], [5, 5], [2
, 2]]]], [[10, 1, 8, 7, 5], [v = 2^(1/2), u < -2, x = 1, And(1 < y,y < u^2), (
y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3],
[1, 1], [5, 5], [3, 3]]]], [[10, 3, 2, 3, 1], [v = 2^(1/2), And(-2 < u,u < -3^
(1/2)), x = -u^2+1, And(-2*u^2+4 < y,y < -u^2+1), z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-\
650655/262144, -2602619/1048576], [-45685649/16777216, -45685649/16777216], [0
, 0]]]], [[10, 9, 3, 7, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x <
-1), And(0 < y,y < x-u^2+3), z < -(y-x)^(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, 7, 2], [v = 2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1)
, And(0 < y,y < x-u^2+3), z = -(y-x)^(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, 7, 3], [v = 2^(1/2), And(-1 < u,u < 0), And(u
^2-3 < x,x < -1), And(0 < y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 4], [v = 2^(1
/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), And(0 < y,y < x-u^2+3), z = (y-
x)^(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, 7,
5], [v = 2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), And(0 < y,y < x-u^
2+3), (y-x)^(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, 6, 1, 1], [v = 2
^(1/2), u = 0, x = 0, y < -1, z = z], [regular_chain, [[741455/524288, 1482911
/1048576], [0, 0], [0, 0], [-2, -2], [0, 0]]]], [[10, 15, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7
, 5, 1], [v = 2^(1/2), u = 3^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z <
-(y-x)^(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, 5,
2], [v = 2^(1/2), u = 3^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z = -(y-x
)^(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, 5, 3], [v
= 2^(1/2), u = 3^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), And(-(y-x)^(1/2)
< z,z < (y-x)^(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, 5, 4], [v = 2^(1/2), u = 3^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), z =
(y-x)^(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, 5, 5
], [v = 2^(1/2), u = 3^(1/2), And(0 < x,x < 1), And(x < y,y < x+2), (y-x)^(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, 6, 7, 1], [v =
2^(1/2), 2 < u, x = 0, u^2-1 < y, z < -y^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [0, 0], [9, 9], [-4, -4]]]], [[10, 19, 6, 7,
2], [v = 2^(1/2), 2 < u, x = 0, u^2-1 < y, z = -y^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [0, 0], [9, 9], [-3, -3]]]], [[10, 19
, 6, 7, 3], [v = 2^(1/2), 2 < u, x = 0, u^2-1 < y, 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, 7, 4], [v = 2^(1/2), 2 < u, x = 0, u^2-1 < y, z = y^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [0, 0], [9,
9], [3, 3]]]], [[10, 19, 6, 7, 5], [v = 2^(1/2), 2 < u, x = 0, u^2-1 < y, y^(1
/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [0, 0], [
9, 9], [4, 4]]]], [[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(x-u^2+v^2+1 < y,y < 0), z = z], [regular_chain, [[3, 3],
[-5, -5], [8, 8], [-7/2, -7/2], [0, 0]]]], [[11, 5, 11, 8, 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], [3663111
/1048576, 457889/131072], [-3, -3]]]], [[11, 5, 11, 8, 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], [3663111/
1048576, 457889/131072], [-1281417/1048576, -160177/131072]]]], [[11, 5, 11, 8
, 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], [3663111/1048576, 457889/131072], [0,
0]]]], [[11, 5, 11, 8, 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], [3663111/1048576, 457889/131072], [160177/
131072, 1281417/1048576]]]], [[11, 5, 11, 8, 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], [3663111/
1048576, 457889/131072], [3, 3]]]], [[11, 7, 9, 2, 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, 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 = z], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[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 < -y^(1/2)], [regular_chain, [[3, 3], [3396811/
1048576, 3396811/1048576], [0, 0], [653799/524288, 653799/524288], [-3, -3]]]]
, [[11, 19, 6, 5, 2], [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 = -y^(1/2)], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [0, 0], [653799/524288, 653799/524288], [-\
1170947/1048576, -585473/524288]]]], [[11, 19, 6, 5, 3], [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), 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, 5, 4
], [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 = y^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811
/1048576], [0, 0], [653799/524288, 653799/524288], [585473/524288, 1170947/
1048576]]]], [[11, 19, 6, 5, 5], [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), y^(1/2) < z], [regular_chain, [[3,
3], [3396811/1048576, 3396811/1048576], [0, 0], [653799/524288, 653799/524288]
, [3, 3]]]], [[11, 20, 9, 3, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), 1 < x, And(0
< y,y < x-1), z = z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/
524288], [2, 2], [1/2, 1/2], [0, 0]]]], [[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 = x, z < 0], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-2614535/2097152,
-2614535/2097152], [-326817/262144, -1307267/1048576], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072],
[-2614535/2097152, -2614535/2097152], [-326817/262144, -1307267/1048576], [0,
0]]]], [[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 = x, 0 < z], [regular_chain, [[-3, -3], [-403851/131072
, -403851/131072], [-2614535/2097152, -2614535/2097152], [-326817/262144, -\
1307267/1048576], [1, 1]]]], [[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 = z], [
regular_chain, [[-3, -3], [0, 0], [-11/2, -11/2], [-15, -15], [0, 0]]]], [[1,
12, 4, 9, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -1, 2 < y, z < -(y+1)^(1/2
)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1, -1], [3, 3]
, [-3, -3]]]], [[1, 12, 4, 9, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -1, 2
< y, z = -(y+1)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/
4096], [-1, -1], [3, 3], [-2, -2]]]], [[1, 12, 4, 9, 3], [v < -2^(1/2), u = (v
^2-2)^(1/2), x = -1, 2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1, -1], [3, 3], [0,
0]]]], [[1, 12, 4, 9, 4], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -1, 2 < y, z =
(y+1)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1, -\
1], [3, 3], [2, 2]]]], [[1, 12, 4, 9, 5], [v < -2^(1/2), u = (v^2-2)^(1/2), x
= -1, 2 < y, (y+1)^(1/2) < z], [regular_chain, [[-3, -3], [2774271/1048576, 
10837/4096], [-1, -1], [3, 3], [3, 3]]]], [[1, 18, 5, 7, 1], [v < -2^(1/2), u
= (v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, z < -(y-x)^(1/2)], [regular_chain
, [[-3, -3], [207243/65536, 3315889/1048576], [-1/2, -1/2], [3, 3], [-3, -3]]]
], [[1, 18, 5, 7, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), And(-1 < x,x < 0), x+2
< y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/
1048576], [-1/2, -1/2], [3, 3], [-7846825/4194304, -980853/524288]]]], [[1, 18
, 5, 7, 3], [v < -2^(1/2), u = (v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, And(
-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [207243/65536,
3315889/1048576], [-1/2, -1/2], [3, 3], [0, 0]]]], [[1, 18, 5, 7, 4], [v < -2^
(1/2), u = (v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, z = (y-x)^(1/2)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1/2, -1/2], [3, 3
], [980853/524288, 1961707/1048576]]]], [[1, 18, 5, 7, 5], [v < -2^(1/2), u =
(v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [
[-3, -3], [207243/65536, 3315889/1048576], [-1/2, -1/2], [3, 3], [3, 3]]]], [[
1, 19, 10, 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+2 < y, z < -(y-1)^(1/2)], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [1, 1], [5, 5], [-3, -3]]]], [[1, 19, 10, 9, 2], [v
< -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, u^2-v^2+2 < y, z
= -(y-1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576]
, [1, 1], [5, 5], [-2, -2]]]], [[1, 19, 10, 9, 3], [v < -2^(1/2), And((v^2+1)^
(1/2) < u,u < (v^2+2)^(1/2)), x = 1, u^2-v^2+2 < y, 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, 9, 4], [v < -2^(1/2), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), x = 1, u^2-v^2+2 < y, z = (y-1)^(1/2)], [regular_chain
, [[-3, -3], [3396811/1048576, 3396811/1048576], [1, 1], [5, 5], [2, 2]]]], [[
1, 19, 10, 9, 5], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x =
1, u^2-v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [1, 1], [5, 5], [3, 3]]]], [[2, 3, 1, 2, 1], [v = -
2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, y = x-u^2+3, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-4, -4], [-1174943/262144, -4699771/1048576], [0, 0]]]], [[
2, 4, 3, 7, 1], [v = -2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), x+2 < y, z <
-(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/
1048576, -3632373/2097152], [-3/2, -3/2], [2, 2], [-3, -3]]]], [[2, 4, 3, 7, 2
], [v = -2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), x+2 < y, z = -(y-x)^(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, 7, 3], [v = -2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), x+2 < y, 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1816187/1048576, -3632373/2097152], [-3/2, -3/2], [2, 2], [0
, 0]]]], [[2, 4, 3, 7, 4], [v = -2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), x+
2 < y, z = (y-x)^(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, 7, 5], [v = -2^(1/2), u = -3^(1/2), And(-2 < x
,x < -1), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1816187/1048576, -3632373/2097152], [-3/2, -3/2], [2, 2], [3
, 3]]]], [[2, 7, 7, 9, 1], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,x
< 0), x-u^2+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [-239655/1048576, -\
239655/1048576], [3, 3], [-3, -3]]]], [[2, 7, 7, 9, 2], [v = -2^(1/2), And(v <
u,u < -1), And(-u^2+1 < x,x < 0), x-u^2+3 < y, z = -(y-x)^(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, 9, 3], [v = -2^(1/2), And(v < u,u <
-1), And(-u^2+1 < x,x < 0), x-u^2+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9, 4], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 <
x,x < 0), x-u^2+3 < y, z = (y-x)^(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, 9, 5]
, [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,x < 0), x-u^2+3 < y, (y-x)^
(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-239655/1048576, -239655/1048576], [3, 3], [3, 3]
]]], [[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-1, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1/2, -1/2], [-15/8, -15/8], [-4, -4], [0, 0]]]], [[2, 13, 6, 1, 1], [v = -2^(1
/2), And(1 < u,u < -v), x = -u^2+1, y < -u^2+1, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-479311
/1048576, -239655/524288], [-2, -2], [0, 0]]]], [[2, 15, 2, 7, 1], [v = -2^(1/
2), And(-v < u,u < 3^(1/2)), x = -u^2+1, 0 < y, 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,
7, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -u^2+1, 0 < y, 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, 7, 3], [v = -2^(1/2), And(-
v < u,u < 3^(1/2)), x = -u^2+1, 0 < y, 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, 7, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x =
-u^2+1, 0 < y, 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, 7, 5], [v =
-2^(1/2), And(-v < u,u < 3^(1/2)), x = -u^2+1, 0 < y, (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, 1,
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], [
-7, -7], [0, 0]]]], [[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 = x-u^2+v^2+1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [-2348135/524288, -4696269/1048576], [0, 0]]]], [
[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-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
225185/1048576, -225185/1048576], [3, 3], [-3, -3]]]], [[3, 7, 7, 9, 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)
, x-u^2+v^2+1 < y, z = -(y-x)^(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, 9
, 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), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9, 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), x-u^2+v^2+1 < y, z = (y-x)^(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, 9, 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), x-u^2+v^2+1 < y, (y-x)^(1/2) < z
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-225185/1048576, -225185/1048576], [3, 3], [3, 3]]]], [[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 = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [-1812519/1048576, -1812519/
1048576], [-4, -4], [0, 0]]]], [[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 < 0, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [8, 8], [-1, -1], [0, 0]]]], [[4, 2, 1, 9,
1], [v = -1, u = -3^(1/2), x < -3, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [
[-1, -1], [-1816187/1048576, -3632373/2097152], [-4, -4], [1, 1], [-4, -4]]]],
[[4, 2, 1, 9, 2], [v = -1, u = -3^(1/2), x < -3, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-4, -4], [1,
1], [-146543/65536, -2344687/1048576]]]], [[4, 2, 1, 9, 3], [v = -1, u = -3^(1
/2), x < -3, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
-1, -1], [-1816187/1048576, -3632373/2097152], [-4, -4], [1, 1], [0, 0]]]], [[
4, 2, 1, 9, 4], [v = -1, u = -3^(1/2), x < -3, 0 < y, z = (y-x)^(1/2)], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-4, -4], [1,
1], [2344687/1048576, 146543/65536]]]], [[4, 2, 1, 9, 5], [v = -1, u = -3^(1/2
), x < -3, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1816187/
1048576, -3632373/2097152], [-4, -4], [1, 1], [4, 4]]]], [[4, 6, 6, 3, 1], [v
= -1, u = -1, x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[-1, -1], [-1,
-1], [1, 1], [1/2, 1/2], [0, 0]]]], [[4, 8, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 7, 1], [v = -1, u = 3^(1/2), And(-3 < x,x < -1), And(0 <
y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 
1816187/1048576], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[4, 14, 3, 7, 2], [v = -\
1, u = 3^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-2, -2], [1/2, 1/
2], [-3315889/2097152, -207243/131072]]]], [[4, 14, 3, 7, 3], [v = -1, u = 3^(
1/2), And(-3 < x,x < -1), And(0 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-2, -2],
[1/2, 1/2], [0, 0]]]], [[4, 14, 3, 7, 4], [v = -1, u = 3^(1/2), And(-3 < x,x <
-1), And(0 < y,y < x+3), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [908093/
524288, 1816187/1048576], [-2, -2], [1/2, 1/2], [207243/131072, 1657945/
1048576]]]], [[4, 14, 3, 7, 5], [v = -1, u = 3^(1/2), And(-3 < x,x < -1), And(
0 < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [908093/524288, 
1816187/1048576], [-2, -2], [1/2, 1/2], [3, 3]]]], [[4, 15, 7, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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, 0 < y, z <
-(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2], [1, 1],
[-3, -3]]]], [[5, 6, 1, 7, 2], [And(-1 < v,v < 0), u = v, x < -1, 0 < y, z = -
(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2], [1, 1], [
-1816187/1048576, -3632373/2097152]]]], [[5, 6, 1, 7, 3], [And(-1 < v,v < 0),
u = v, x < -1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[-1/2, -1/2], [-1/2, -1/2], [-2, -2], [1, 1], [-1/4194304, -1/4194304]]]], [[
5, 6, 1, 7, 4], [And(-1 < v,v < 0), u = v, x < -1, 0 < y, z = (y-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2], [1, 1], [908093/524288,
1816187/1048576]]]], [[5, 6, 1, 7, 5], [And(-1 < v,v < 0), u = v, x < -1, 0 <
y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2], [1
, 1], [3, 3]]]], [[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], [312209/524288, 624419/
1048576], [-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], [312209/524288, 
624419/1048576], [-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], [312209/524288, 624419/1048576],
[-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], [
312209/524288, 624419/1048576], [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], [312209/524288, 624419/1048576], [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(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)
^(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(x < y,y < 0), z =
(y-x)^(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(x < y,y <
0), (y-x)^(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(-4 <
y,y < -3), z = z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288]
, [-3, -3], [-7/2, -7/2], [0, 0]]]], [[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 < 2*u^2), z < -(
y-u^2+1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576],
[239655/524288, 479311/1048576], [883771/524288, 883771/524288], [-3, -3]]]],
[[6, 9, 8, 5, 2], [v = 0, And(1 < u,u < 2^(1/2)), x = u^2-1, And(u^2-1 < y,y <
2*u^2), z = -(y-u^2+1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [239655/524288, 479311/1048576], [883771/524288, 883771/
524288], [-1162243/1048576, -581121/524288]]]], [[6, 9, 8, 5, 3], [v = 0, And(
1 < u,u < 2^(1/2)), x = u^2-1, And(u^2-1 < y,y < 2*u^2), And(-(y-u^2+1)^(1/2)
< z,z < (y-u^2+1)^(1/2))], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [239655/524288, 479311/1048576], [883771/524288, 883771/524288], [0,
0]]]], [[6, 9, 8, 5, 4], [v = 0, And(1 < u,u < 2^(1/2)), x = u^2-1, And(u^2-1
< y,y < 2*u^2), z = (y-u^2+1)^(1/2)], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [239655/524288, 479311/1048576], [883771/524288, 
883771/524288], [581121/524288, 1162243/1048576]]]], [[6, 9, 8, 5, 5], [v = 0,
And(1 < u,u < 2^(1/2)), x = u^2-1, And(u^2-1 < y,y < 2*u^2), (y-u^2+1)^(1/2) <
z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [239655/
524288, 479311/1048576], [883771/524288, 883771/524288], [3, 3]]]], [[6, 11, 1
, 6, 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,
6, 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, 6, 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, 6, 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, 6, 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, 11, 6, 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, 6, 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, 6, 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, 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 < 2*u^2-2*v^2), z < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-624419/
1048576, -1248837/2097152], [424157/1048576, 424157/1048576], [-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 < 2*u^2-2*v^2), z = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[1/
2, 1/2], [-1696631/2097152, -1696631/2097152], [-624419/1048576, -1248837/
2097152], [424157/1048576, 424157/1048576], [-549755706347/549755813888, -\
4398045650775/4398046511104]]]], [[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 < 2*u^2-2*v^2), And(-(y-u^2
+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-624419/1048576, -1248837/2097152], [
424157/1048576, 424157/1048576], [-3333975/8796093022208, -3333975/
8796093022208]]]], [[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 < 2*u^2-2*v^2), z = (y-u^2+v^2+1)^(1/2)],
[regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-624419/
1048576, -1248837/2097152], [424157/1048576, 424157/1048576], [1048575/1048576
, 1]]]], [[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 < 2*u^2-2*v^2), (y-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-624419/
1048576, -1248837/2097152], [424157/1048576, 424157/1048576], [2, 2]]]], [[8,
1, 5, 1, 1], [v = 1, u < -3^(1/2), And(-1 < x,x < 0), y < x-u^2+2, z = z], [
regular_chain, [[1, 1], [-3, -3], [-1/2, -1/2], [-9, -9], [0, 0]]]], [[8, 2, 7
, 6, 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, 6, 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, 6, 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, 4, 9, 1], [v = 1, And(-1 < u,u <
0), x = -1, -u^2+1 < y, z < -(y+1)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/
2], [-1, -1], [2, 2], [-3, -3]]]], [[8, 7, 4, 9, 2], [v = 1, And(-1 < u,u < 0)
, x = -1, -u^2+1 < y, z = -(y+1)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2]
, [-1, -1], [2, 2], [-1816187/1048576, -3632373/2097152]]]], [[8, 7, 4, 9, 3],
[v = 1, And(-1 < u,u < 0), x = -1, -u^2+1 < y, And(-(y+1)^(1/2) < z,z < (y+1)^
(1/2))], [regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [2, 2], [-1/4194304,
-1/4194304]]]], [[8, 7, 4, 9, 4], [v = 1, And(-1 < u,u < 0), x = -1, -u^2+1 <
y, z = (y+1)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [2, 2],
[908093/524288, 1816187/1048576]]]], [[8, 7, 4, 9, 5], [v = 1, And(-1 < u,u <
0), x = -1, -u^2+1 < y, (y+1)^(1/2) < z], [regular_chain, [[1, 1], [-1/2, -1/2
], [-1, -1], [2, 2], [3, 3]]]], [[8, 8, 9, 3, 1], [v = 1, u = 0, 1 < x, And(0
< y,y < x), z = z], [regular_chain, [[1, 1], [0, 0], [2, 2], [1, 1], [0, 0]]]]
, [[8, 14, 8, 7, 1], [v = 1, u = 3^(1/2), x = 1, 4 < y, z < -(y-1)^(1/2)], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [1, 1], [5, 5], [-3,
-3]]]], [[8, 14, 8, 7, 2], [v = 1, u = 3^(1/2), x = 1, 4 < y, z = -(y-1)^(1/2)
], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [1, 1], [5, 5],
[-2, -2]]]], [[8, 14, 8, 7, 3], [v = 1, u = 3^(1/2), x = 1, 4 < y, 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, 7, 4], [v = 1, u = 3^(1/2), x
= 1, 4 < y, z = (y-1)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187
/1048576], [1, 1], [5, 5], [2, 2]]]], [[8, 14, 8, 7, 5], [v = 1, u = 3^(1/2),
x = 1, 4 < y, (y-1)^(1/2) < z], [regular_chain, [[1, 1], [908093/524288, 
1816187/1048576], [1, 1], [5, 5], [3, 3]]]], [[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(-2*u^2+2*v^2 < y,y < -u^2+v^
2-1), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [
-4478937/524288, -8957873/1048576], [-6194117/524288, -6194117/524288], [0, 0]
]]], [[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 < x, z = z], [regular_chain, [[1265743/1048576,
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/4194304, -\
3213831/4194304], [-2, -2], [0, 0]]]], [[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 = u^2-v^2-1, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3293563/2097152, -1646781/1048576], [-3293563/2097152, -\
1646781/1048576], [-1, -1]]]], [[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 = u^2-v^2-1, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3293563/2097152, -1646781/1048576], [-3293563/2097152, -\
1646781/1048576], [0, 0]]]], [[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 = u^2-v^2-1, 0 < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
3293563/2097152, -1646781/1048576], [-3293563/2097152, -1646781/1048576], [1,
1]]]], [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [2, 2], [2336807/
524288, 4673615/1048576], [-3, -3]]]], [[9, 9, 11, 8, 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-u^2+v^2+1, z = -(
-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0
], [2, 2], [2336807/524288, 4673615/1048576], [-410915/262144, -3287319/
2097152]]]], [[9, 9, 11, 8, 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-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], [2, 2], [2336807/524288, 4673615/1048576], [-1/4194304, -1/4194304]]]], [[
9, 9, 11, 8, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(
1/2)), 1 < x, y = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [2, 2], [2336807/524288, 4673615/
1048576], [1643659/1048576, 410915/262144]]]], [[9, 9, 11, 8, 5], [And(1 < v,v
< 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y = x-u^2+v^2+1,
(-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[0, 0], [2, 2], [2336807/524288, 4673615/1048576], [3, 3]]]], [[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 = 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, 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 = 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, 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 = 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, 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 = 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, 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
= 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, 2, 5, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -\
3, And(-3 < y,y < 0), z < -(y+3)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [121853/65536, 1949649/1048576], [-3, -3], [-3/2, -3/2], [-3
, -3]]]], [[9, 16, 2, 5, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -\
3, And(-3 < y,y < 0), z = -(y+3)^(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, 5, 3], [And(1 < v,v < 2^(1/2)
), u = (v^2+2)^(1/2), x = -3, And(-3 < y,y < 0), And(-(y+3)^(1/2) < z,z < (y+3
)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536,
1949649/1048576], [-3, -3], [-3/2, -3/2], [0, 0]]]], [[9, 16, 2, 5, 4], [And(1
< v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -3, And(-3 < y,y < 0), z = (y+3)^(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, 5, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -3, And(-3
< y,y < 0), (y+3)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [121853/65536, 1949649/1048576], [-3, -3], [-3/2, -3/2], [3, 3]]]],
[[9, 17, 7, 3, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(0 < x,x < 1
), And(x-u^2+v^2+1 < y,y < 0), z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [1/2, 1/2], [-6336433/2097152, -6336433/2097152], [0
, 0]]]], [[10, 5, 11, 9, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), 1 < x, u^
2+x-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [-6598195/4194304, -6598195/4194304], [2, 2], [5, 5], [-3, -3]]]], [[10, 5,
11, 9, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), 1 < x, u^2+x-1 < y, z = -(y
-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [2, 2], [5, 5], [-1816187/1048576, -3632373/
2097152]]]], [[10, 5, 11, 9, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), 1 < x
, u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [2, 2],
[5, 5], [-1/4194304, -1/4194304]]]], [[10, 5, 11, 9, 4], [v = 2^(1/2), And(-3^
(1/2) < u,u < -v), 1 < x, u^2+x-1 < y, z = (y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [2, 2],
[5, 5], [908093/524288, 1816187/1048576]]]], [[10, 5, 11, 9, 5], [v = 2^(1/2),
And(-3^(1/2) < u,u < -v), 1 < x, u^2+x-1 < y, (y-x)^(1/2) < z], [regular_chain
, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [2,
2], [5, 5], [3, 3]]]], [[10, 7, 9, 3, 1], [v = 2^(1/2), And(-v < u,u < -1), 
And(0 < x,x < 1), And(0 < y,y < x), z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [1/4, 1/4]
, [0, 0]]]], [[10, 11, 11, 8, 1], [v = 2^(1/2), And(0 < u,u < 1), 1 < x, y = x
-u^2+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, 8, 2], [v = 2^
(1/2), And(0 < u,u < 1), 1 < x, y = x-u^2+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, 8, 3], [v = 2^(1
/2), And(0 < u,u < 1), 1 < x, y = x-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], [2,
2], [19/4, 19/4], [-1/4194304, -1/4194304]]]], [[10, 11, 11, 8, 4], [v = 2^(1/
2), And(0 < u,u < 1), 1 < x, y = x-u^2+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, 8, 5], [v = 2^(1/2), And(0 < u,u <
1), 1 < x, y = x-u^2+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, 7, 4,
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, 4, 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, 4, 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,
4, 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, 4, 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, 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, 0 < y, z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-4, -4], [1, 1]
, [-4, -4]]]], [[11, 3, 1, 9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[3, 3
], [-3396811/1048576, -3396811/1048576], [-4, -4], [1, 1], [-146543/65536, -\
2344687/1048576]]]], [[11, 3, 1, 9, 3], [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, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2)
)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-4, -4], [
1, 1], [0, 0]]]], [[11, 3, 1, 9, 4], [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 = (y-x)^(1/2)], [regular_chain, [[3,
3], [-3396811/1048576, -3396811/1048576], [-4, -4], [1, 1], [2344687/1048576,
146543/65536]]]], [[11, 3, 1, 9, 5], [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, (y-x)^(1/2) < z], [regular_chain, [[3,
3], [-3396811/1048576, -3396811/1048576], [-4, -4], [1, 1], [4, 4]]]], [[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 = 0, z < -(-x)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-7357527/
4194304, -7357527/4194304], [0, 0], [-3, -3]]]], [[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 =
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, 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 = 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, 6, 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, 6, 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, 9, 1], [2^(1/2) <
v, u = -(v^2-2)^(1/2), And(-1 < x,x < 0), x+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2], [4
, 4], [-4, -4]]]], [[11, 10, 5, 9, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-\
1 < x,x < 0), x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [-1/2, -1/2], [4, 4], [-1112183/524288, -2224365/
1048576]]]], [[11, 10, 5, 9, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-1 < x,
x < 0), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3,
3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2], [4, 4], [0, 0]]]], [[
11, 10, 5, 9, 4], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-1 < x,x < 0), x+3 < y
, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [-1/2, -1/2], [4, 4], [2224365/1048576, 1112183/524288]]]], [[11, 10
, 5, 9, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-1 < x,x < 0), x+3 < y, (y-x
)^(1/2) < z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [
-1/2, -1/2], [4, 4], [4, 4]]]], [[11, 16, 2, 3, 1], [2^(1/2) < v, u = v, x = -\
1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)
^(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(-1 < y,y < 0), z = (y+1)^
(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
(-1 < y,y < 0), (y+1)^(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 = 1, z < 0], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [1, 1], [1, 1], [-1, -1]]]], [[11, 17, 10, 4, 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, 4, 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, 4, 1, 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],
[-3, -3], [0, 0]]]], [[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 = 0, z = z], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [129511/262144, 518045/1048576], [0, 0], [
0, 0]]]], [[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 = x-u^2+v^2+1, z < -(
-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [395403/524288, 395403/524288], [3420993/1048576, 1710497/524288], [
-3, -3]]]], [[1, 9, 9, 8, 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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)
], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [395403/
524288, 395403/524288], [3420993/1048576, 1710497/524288], [-3321417/2097152,
-415177/262144]]]], [[1, 9, 9, 8, 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-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], [395403/524288, 395403/524288], [3420993/1048576,
1710497/524288], [0, 0]]]], [[1, 9, 9, 8, 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 = x-u^2+v^2+1, z = (-u
^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [395403/524288, 395403/524288], [3420993/1048576, 1710497/524288], [
415177/262144, 1660709/1048576]]]], [[1, 9, 9, 8, 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 = x-u^2+v^2+1,
(-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [395403/524288, 395403/524288], [3420993/1048576, 1710497/
524288], [3, 3]]]], [[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 = -u^2+v^2-1, z < 0], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-129143/262144, -516571/1048576], [-129143
/262144, -516571/1048576], [-1, -1]]]], [[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 = -u^2+v^2-1, z = 0], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-129143/262144,
-516571/1048576], [-129143/262144, -516571/1048576], [0, 0]]]], [[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 = -u^2+v^2
-1, 0 < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-\
129143/262144, -516571/1048576], [-129143/262144, -516571/1048576], [1, 1]]]],
[[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 < x, z = z], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [-2614535/2097152, -2614535/2097152], [-3, -3], [0, 0]]]], [[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 < -(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, 8, 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, 8, 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, 8, 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, 8,
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, 9, 1], [v = -2^(1/2), u < -2, And(0 < x,x < 1), u^2
+x-1 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [1/2, 1/2], [10, 10], [-5, -5]]]], [[2, 1, 7, 9, 2], [v = -
2^(1/2), u < -2, And(0 < x,x < 1), u^2+x-1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [1/2, 1/2], [10,
10], [-3231929/1048576, -403991/131072]]]], [[2, 1, 7, 9, 3], [v = -2^(1/2), u
< -2, And(0 < x,x < 1), u^2+x-1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [1/2, 1/2], [10,
10], [0, 0]]]], [[2, 1, 7, 9, 4], [v = -2^(1/2), u < -2, And(0 < x,x < 1), u^2
+x-1 < y, z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [-3, -3], [1/2, 1/2], [10, 10], [403991/131072, 3231929/1048576]]]], [[2, 1
, 7, 9, 5], [v = -2^(1/2), u < -2, And(0 < x,x < 1), u^2+x-1 < y, (y-x)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [1/2, 1/2
], [10, 10], [5, 5]]]], [[2, 10, 5, 1, 1], [v = -2^(1/2), u = 0, And(-1 < x,x
< 0), y < x-1, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [0
, 0], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[2, 11, 9, 4, 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, 6, 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, 6
, 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, 6, 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, 6, 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, 6, 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, 8,
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], [3651195/1048576, 912799/262144], [-3, -3]]]], [[2,
17, 10, 8, 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], [3651195/1048576, 912799/262144], [-825991/
524288, -3303963/2097152]]]], [[2, 17, 10, 8, 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], [3651195/1048576, 912799/262144], [-1/4194304, -1/4194304]]]
], [[2, 17, 10, 8, 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], [3651195/1048576, 912799/262144], [
1651981/1048576, 825991/524288]]]], [[2, 17, 10, 8, 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],
[3651195/1048576, 912799/262144], [3, 3]]]], [[3, 4, 4, 1, 1], [And(-2^(1/2) <
v,v < -1), u = -(v^2+1)^(1/2), x = -1, y < -1, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-1, -\
1], [-2, -2], [0, 0]]]], [[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(x < y,y < x-u^2+v^2+1), z < -(y-x
)^(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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(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(x < y,y < x-u^2+v^2+1), And(
-(y-x)^(1/2) < z,z < (y-x)^(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(x
< y,y < x-u^2+v^2+1), z = (y-x)^(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(x < y,y < x-u^2+v^2+1), (y-x)^(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+2 < y, z < -(y-x)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 
708939/1048576], [-1/2, -1/2], [3, 3], [-3, -3]]]], [[3, 10, 5, 7, 2], [And(-2
^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-1 < x,x < 0), x+2 < y, z = -(y-x)^
(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, 7, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-1 < x,x
< 0), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-1/2, -1
/2], [3, 3], [0, 0]]]], [[3, 10, 5, 7, 4], [And(-2^(1/2) < v,v < -1), u = (v^2
-1)^(1/2), And(-1 < x,x < 0), x+2 < y, z = (y-x)^(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, 7, 5], [And(-2^(
1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-1 < x,x < 0), x+2 < y, (y-x)^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 
708939/1048576], [-1/2, -1/2], [3, 3], [3, 3]]]], [[3, 11, 10, 9, 1], [And(-2^
(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 1, -u^2+v^2+2 < y, z < -
(y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [1, 1], [4, 4], [-3, -3]]]], [[3, 11, 10, 9, 2], [
And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 1, -u^2+v^2+2 < y
, 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, 9, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2)
< u,u < -v), x = 1, -u^2+v^2+2 < y, 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, 9, 4], [
And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 1, -u^2+v^2+2 < y
, 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, 9, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2)
< u,u < -v), x = 1, -u^2+v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [1, 1],
[4, 4], [3, 3]]]], [[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(0 < y,y < u^2-v^2), z < -(y+1)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 
898327/524288], [-1, -1], [1550541/2097152, 1550541/2097152], [-3, -3]]]], [[3
, 15, 4, 7, 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 < u^2-v^2), z = -(y+1)^(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, 7, 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 < u^2-v^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-1, -1], [1550541/2097152, 1550541/2097152], [0, 0]]]], [[3, 15, 4,
7, 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 < u^2-v^2), z = (y+1)^(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, 7
, 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 < u^2-v^2), (y+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [-1, -1], [1550541
/2097152, 1550541/2097152], [3, 3]]]], [[3, 16, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 8, 1, 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], [-1, -1], [0, 0]]]], [[4, 5, 3, 2,
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, 2, 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, 2, 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, 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(x < y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-4, -4], [-11587301/4194304, -11587301/
4194304], [-3, -3]]]], [[4, 13, 1, 5, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)
), x < -u^2, And(x < y,y < u^2+x), z = -(y-x)^(1/2)], [regular_chain, [[-1, -1
], [3299097/2097152, 3299097/2097152], [-4, -4], [-11587301/4194304, -11587301
/4194304], [-1166407/1048576, -583203/524288]]]], [[4, 13, 1, 5, 3], [v = -1,
And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, And(x < y,y < u^2+x), And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [-4, -4], [-11587301/4194304, -11587301/4194304], [0, 0]]]], [[4, 13
, 1, 5, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, And(x < y,y < u^2
+x), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [-4, -4], [-11587301/4194304, -11587301/4194304], [583203/524288, 
1166407/1048576]]]], [[4, 13, 1, 5, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)),
x < -u^2, And(x < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-4, -4], [-11587301/4194304, -11587301/
4194304], [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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain
, [[-1/2, -1/2], [-3, -3], [9, 9], [111/8, 111/8], [-4, -4]]]], [[5, 1, 11, 7,
2], [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 = -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [9, 9], [
111/8, 111/8], [-1157597/524288, -2315193/1048576]]]], [[5, 1, 11, 7, 3], [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),
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3, -3
], [9, 9], [111/8, 111/8], [0, 0]]]], [[5, 1, 11, 7, 4], [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 = (y-x)^(1/2)],
[regular_chain, [[-1/2, -1/2], [-3, -3], [9, 9], [111/8, 111/8], [2315193/
1048576, 1157597/524288]]]], [[5, 1, 11, 7, 5], [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), (y-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-3, -3], [9, 9], [111/8, 111/8], [4, 4]]]], [[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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
-343151/262144, -343151/262144], [-1, -1], [767309/524288, 1534619/1048576], [
-3, -3]]]], [[5, 3, 4, 8, 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], [767309/524288, 
1534619/1048576], [-3291611/2097152, -1645805/1048576]]]], [[5, 3, 4, 8, 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], [767309/524288, 1534619
/1048576], [0, 0]]]], [[5, 3, 4, 8, 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], [
767309/524288, 1534619/1048576], [1645805/1048576, 822903/524288]]]], [[5, 3,
4, 8, 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], [767309/524288, 1534619/1048576], [3
, 3]]]], [[5, 12, 5, 3, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-1 < x,
x < 0), And(x-1 < y,y < x), z = z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2],
[-1/2, -1/2], [-1, -1], [0, 0]]]], [[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 = 0, z = z], [regular_chain, [[-1/2
, -1/2], [3, 3], [35/8, 35/8], [0, 0], [0, 0]]]], [[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], [-7/4, -7/4], [-3, -3]]]], [[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], [-7/4, -7/4], [-\
146543/131072, -1172343/1048576]]]], [[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], [-7/4, -7/4], [0, 0]]]], [[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], [-7/4, -7/4], [1172343
/1048576, 146543/131072]]]], [[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], [-7/4, -7/4], [3, 3]]]], [[6, 6, 4, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(x <
y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y <
0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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(u^2
-v^2+x+1 < y,y < 0), z < -(y-x)^(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(u^2-v^2+x+1 < y,y < 0), z =
-(y-x)^(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(u^2-v^2+x+1 < y,y < 0)
, And(-(y-x)^(1/2) < z,z < (y-x)^(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(u^2-v^2+x
+1 < y,y < 0), z = (y-x)^(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(u^2-v^2+x+
1 < y,y < 0), (y-x)^(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, 2 < y, z < -(y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [1, 1]
, [3, 3], [-3, -3]]]], [[7, 8, 6, 7, 2], [And(0 < v,v < 1), u = v, x = 1, 2 <
y, 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, 7, 3], [And(0 < v,v < 1), u
= v, x = 1, 2 < y, 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, 7, 4], [And(0 < v,
v < 1), u = v, x = 1, 2 < y, 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, 7, 5
], [And(0 < v,v < 1), u = v, x = 1, 2 < y, (y-1)^(1/2) < z], [regular_chain, [
[1/2, 1/2], [1/2, 1/2], [1, 1], [3, 3], [3, 3]]]], [[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 = 0, z = z], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [1, 1], [0, 0], [0
, 0]]]], [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain,
[[1/2, 1/2], [3, 3], [-43/8, -43/8], [35/16, 35/16], [-4, -4]]]], [[7, 13, 3,
7, 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 < u^2-v^2+x+1), z = -(y-x)^(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, 7, 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 < u^2-v^2
+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [3
, 3], [-43/8, -43/8], [35/16, 35/16], [0, 0]]]], [[7, 13, 3, 7, 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 < u^2-v^2+
x+1), z = (y-x)^(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, 7, 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 < u^2-v^2+x+1), (y-x)^(1/2)
< z], [regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8], [35/16, 35/16], [4,
4]]]], [[8, 4, 2, 3, 1], [v = 1, u = -2^(1/2), x = -2, And(-2 < y,y < 0), z <
-(y+2)^(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(-2 < y,y < 0), z = -(y+2)^(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(-2 < y,y < 0), And(-(y+2)^(1/2) < z,z < (y+2)
^(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(-2
< y,y < 0), z = (y+2)^(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(-2 < y,y < 0), (y+2)^(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 = u^2, z < u], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [0, 0], [763943/
524288, 1527887/1048576], [-3, -3]]]], [[8, 5, 8, 6, 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], [763943/524288, 1527887/1048576], [-\
1265743/1048576, -1265743/1048576]]]], [[8, 5, 8, 6, 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], [763943/524288, 1527887/1048576],
[0, 0]]]], [[8, 5, 8, 6, 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]
, [763943/524288, 1527887/1048576], [1265743/1048576, 1265743/1048576]]]], [[8
, 5, 8, 6, 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], [763943/
524288, 1527887/1048576], [3, 3]]]], [[8, 11, 11, 8, 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], [1812519/524288, 3625039/1048576], [-3, -3]]]], [[
8, 11, 11, 8, 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], [1812519/
524288, 3625039/1048576], [-1265743/1048576, -1265743/1048576]]]], [[8, 11, 11
, 8, 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], [1812519/
524288, 3625039/1048576], [0, 0]]]], [[8, 11, 11, 8, 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], [1812519/524288, 3625039/1048576], [1265743/1048576,
1265743/1048576]]]], [[8, 11, 11, 8, 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], [1812519/524288, 3625039/1048576], [3, 3]]]], [[8, 13, 7, 4,
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, 5, 7, 1], [And(1 < v,v < 2^(1/2)),
u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), z < -(y-x)^(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, 7, 2], [
And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x
+3), z = -(y-x)^(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, 7, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(
1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 4], [And
(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3)
, z = (y-x)^(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, 7, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2
), And(-1 < x,x < 0), And(0 < y,y < x+3), (y-x)^(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, 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(-u^2+v^2+2 < y,y < 1),
z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [1, 1], [1595187/2097152, 1595187/2097152], [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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), z =
-(y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), z = (y
-x)^(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, 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(0 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
2587387/2097152, -2587387/2097152], [122559/1048576, 122559/1048576], [3, 3]]]
], [[9, 14, 7, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 1, 8, 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, 8, 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, 8, 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, 3, 2, 2, 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], [-49729379/16777216, -24864689/
8388608], [0, 0]]]], [[10, 9, 3, 8, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(u
^2-3 < x,x < -1), y = x-u^2+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, 8, 2], [v = 2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1),
y = x-u^2+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, 8, 3], [v = 2^(1/2), And(-1 < u,u < 0), And(u
^2-3 < x,x < -1), y = x-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], [-15/8, -15/8]
, [7/8, 7/8], [-1/4194304, -1/4194304]]]], [[10, 9, 3, 8, 4], [v = 2^(1/2), 
And(-1 < u,u < 0), And(u^2-3 < x,x < -1), y = x-u^2+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, 8, 5], [v = 2^(
1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), y = x-u^2+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, 6, 2, 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, 5, 1], [v = 2^(1/2), And(v < u,u < 3^(1/
2)), And(-u^2+1 < x,x < -1), And(x-u^2+3 < y,y < 0), z < -(y-x)^(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(x-u^2+3 < y,y < 0), z = -(y-x)^(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(x-u^2+3 < y,y < 0)
, And(-(y-x)^(1/2) < z,z < (y-x)^(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(x-u^2+3 < y,y < 0), z = (y-x)^(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(x-u^2+3 < y,y < 0), (y-x)^(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^2-1, z < -(u^2-\
1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [0, 0],
[8, 8], [-4, -4]]]], [[10, 19, 6, 6, 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, 6,
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, 6, 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, 6, 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, 9, 2, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(1 < x,x < u^2-
v^2-1), y = x-u^2+v^2+1, z = z], [regular_chain, [[3, 3], [-5, -5], [8, 8], [-\
7, -7], [0, 0]]]], [[11, 5, 11, 9, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u
< -v), 1 < x, u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [2, 2], [5, 5], [-3, -3]]]], [[11, 5, 11, 9, 2
], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, u^2-v^2+x+1 < y, z = -
(y-x)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [2, 2
], [5, 5], [-1816187/1048576, -3632373/2097152]]]], [[11, 5, 11, 9, 3], [2^(1/
2) < v, And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, u^2-v^2+x+1 < y, And(-(y-x)^(1/
2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[11, 5, 11, 9, 4], [2^(
1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, u^2-v^2+x+1 < y, z = (y-x)^(1
/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [2, 2], [5, 5
], [908093/524288, 1816187/1048576]]]], [[11, 5, 11, 9, 5], [2^(1/2) < v, And(
-(v^2+1)^(1/2) < u,u < -v), 1 < x, u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [2, 2], [5, 5], [3,
3]]]], [[11, 7, 9, 3, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(0
< x,x < 1), And(0 < y,y < x), z = z], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[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 < -(y+1)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288
], [-1, -1], [3, 3], [-3, -3]]]], [[11, 13, 4, 9, 2], [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 = -(y+1)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1, -1], [3, 3], [-\
2, -2]]]], [[11, 13, 4, 9, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)
^(1/2)), x = -1, -u^2+v^2 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1, -1], [3, 3], [0
, 0]]]], [[11, 13, 4, 9, 4], [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 = (y+1)^(1/2)], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [-1, -1], [3, 3], [2, 2]]]], [[11, 13, 4, 9,
5], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, -u^2+v^2 <
y, (y+1)^(1/2) < z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288]
, [-1, -1], [3, 3], [3, 3]]]], [[11, 14, 9, 3, 1], [2^(1/2) < v, u = (v^2-1)^(
1/2), 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[3, 3], [741455/262144
, 2965821/1048576], [2, 2], [1, 1], [0, 0]]]], [[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 < -(u^2-v
^2+1)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [0,
0], [653799/262144, 2615197/1048576], [-3, -3]]]], [[11, 19, 6, 6, 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], [653799/262144, 2615197/1048576], [-1655969/1048576, -3311937/2097152]
]]], [[11, 19, 6, 6, 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], [653799/
262144, 2615197/1048576], [-1/4194304, -1/4194304]]]], [[11, 19, 6, 6, 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], [653799/262144, 2615197/1048576], [51749/32768, 1655969/1048576]]]]
, [[11, 19, 6, 6, 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], [653799/262144, 2615197/1048576], [
3, 3]]]], [[11, 20, 9, 4, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), 1 < x, y = x-1,
z = z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [2, 2], [1
, 1], [0, 0]]]], [[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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)],
[regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-2614535/2097152
, -2614535/2097152], [-1041671/1048576, -1041671/1048576], [-2, -2]]]], [[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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(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, 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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-2614535/2097152
, -2614535/2097152], [-1041671/1048576, -1041671/1048576], [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(x < y,y < x-u^2+v^2+1), z = (y-x)^(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, 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(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3]
, [-403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [-\
1041671/1048576, -1041671/1048576], [2, 2]]]], [[1, 6, 6, 5, 1], [v < -2^(1/2)
, u = v, x = 1, And(1 < y,y < 2), z < -(y-1)^(1/2)], [regular_chain, [[-3, -3]
, [-3, -3], [1, 1], [3/2, 3/2], [-2, -2]]]], [[1, 6, 6, 5, 2], [v < -2^(1/2),
u = v, x = 1, And(1 < y,y < 2), z = -(y-1)^(1/2)], [regular_chain, [[-3, -3],
[-3, -3], [1, 1], [3/2, 3/2], [-1482911/2097152, -741455/1048576]]]], [[1, 6,
6, 5, 3], [v < -2^(1/2), u = v, x = 1, And(1 < y,y < 2), 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, 5, 4], [v < -2^(1/2), u = v, x = 1, And(1 < y,y < 2), z =
(y-1)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [1, 1], [3/2, 3/2], [741455
/1048576, 46341/65536]]]], [[1, 6, 6, 5, 5], [v < -2^(1/2), u = v, x = 1, And(
1 < y,y < 2), (y-1)^(1/2) < z], [regular_chain, [[-3, -3], [-3, -3], [1, 1], [
3/2, 3/2], [2, 2]]]], [[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, 0 < y, z < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [0, 0], [-10, -10], [1, 1], [-5, -5]]]], [[1, 11, 2,
7, 2], [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 = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-10, -\
10], [1, 1], [-1738867/524288, -3477733/1048576]]]], [[1, 11, 2, 7, 3], [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, And(
-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3],
[0, 0], [-10, -10], [1, 1], [0, 0]]]], [[1, 11, 2, 7, 4], [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 = (y-u^2+v^2+1)^
(1/2)], [regular_chain, [[-3, -3], [0, 0], [-10, -10], [1, 1], [3477733/
1048576, 1738867/524288]]]], [[1, 11, 2, 7, 5], [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, (y-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [0, 0], [-10, -10], [1, 1], [5, 5]]]], [[1, 12, 4, 8
, 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, 8, 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, 8, 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, 8, 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
, 8, 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, 6, 1, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 0, y < 0, z =
z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [0, 0], [-1, -\
1], [0, 0]]]], [[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 < 0, z = z], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [2, 2], [-1, -1], [0, 0]]]], [[2, 3, 1, 1, 1], [v =
-2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, y < x-u^2+3, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-4, -4], [-6, -6], [0, 0]]]], [[2, 4, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 1,
1], [v = -2^(1/2), And(v < u,u < -1), x = 0, y < 0, z = z], [regular_chain, [[
-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [0, 0
], [-1, -1], [0, 0]]]], [[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-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, 5, 9, 1], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), x-u
^2+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/
2097152], [2, 2], [-3, -3]]]], [[2, 13, 5, 9, 2], [v = -2^(1/2), And(1 < u,u <
-v), And(-1 < x,x < -u^2+1), x-u^2+3 < y, z = -(y-x)^(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, 9, 3], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x
< -u^2+1), x-u^2+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(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, 9, 4], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), x-u^2+
3 < y, z = (y-x)^(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, 9, 5], [v = -2^(1/2), And
(1 < u,u < -v), And(-1 < x,x < -u^2+1), x-u^2+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-1527887/2097152, -1527887/2097152], [2, 2], [3, 3]]]], [[2, 15, 2,
6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [-11624291/2097152, -\
5812145/1048576], [0, 0]]]], [[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(x-u^2+v^2+1 < y,y
< x), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-4, -4], [-8890573/2097152, -8890573/
2097152], [0, 0]]]], [[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-u^2+v^2+1, z < -(-u^2+v^2+
1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-225185/1048576, -225185/1048576], [355399/262144
, 1421597/1048576], [-3, -3]]]], [[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-u^2+v^2+1, z =
-(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-3949363/4194304, -3949363/4194304], [-225185/1048576, -225185/1048576], [
355399/262144, 1421597/1048576], [-1314069/1048576, -328517/262144]]]], [[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-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], [-225185/1048576, -225185/1048576], [355399/262144
, 1421597/1048576], [0, 0]]]], [[3, 7, 7, 8, 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 = x-u^2+v^2+1, z =
(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-225185/1048576, -225185/1048576], [
355399/262144, 1421597/1048576], [328517/262144, 1314069/1048576]]]], [[3, 7,
7, 8, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
225185/1048576, -225185/1048576], [355399/262144, 1421597/1048576], [3, 3]]]],
[[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, 0 < y, z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [-2576463/1048576, -1288231/524288
], [1, 1], [-3, -3]]]], [[3, 9, 2, 7, 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, 0 < y, z = -(y-u^2+v^2+1)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-2576463/
1048576, -1288231/524288], [1, 1], [-3899297/2097152, -7798593/4194304]]]], [[
3, 9, 2, 7, 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, 0 < y, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(
1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-\
2576463/1048576, -1288231/524288], [1, 1], [-1/8388608, -1/8388608]]]], [[3, 9
, 2, 7, 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, 0 < y, z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [0, 0], [-2576463/1048576, -1288231/524288], [1,
1], [121853/65536, 1949649/1048576]]]], [[3, 9, 2, 7, 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, 0 < y, (y-u^2
+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0,
0], [-2576463/1048576, -1288231/524288], [1, 1], [3, 3]]]], [[3, 17, 10, 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 < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [6860721/1048576, 3430361/524288], [17, 17], [-5, -5]]]], [[
3, 17, 10, 7, 2], [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 = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [3, 3], [6860721/1048576, 3430361/524288], [17, 17], [-\
847707/262144, -3390827/1048576]]]], [[3, 17, 10, 7, 3], [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, And(-(y-u^2+v^2+1)^(1/
2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [3, 3], [6860721/1048576, 3430361/524288], [17, 17], [0, 0]]]], [[3
, 17, 10, 7, 4], [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 = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [3, 3], [6860721/1048576, 3430361/524288], [17, 17], [
3390827/1048576, 847707/262144]]]], [[3, 17, 10, 7, 5], [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, (y-u^2+v^2+1)^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [6860721/
1048576, 3430361/524288], [17, 17], [5, 5]]]], [[4, 2, 1, 8, 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,
8, 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, 8, 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, 8, 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, 8, 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, 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,
0 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-3, -3], [1, 1],
[-3, -3]]]], [[4, 8, 1, 7, 2], [v = -1, u = 0, x < -2, 0 < y, z = -(y-x)^(1/2)
], [regular_chain, [[-1, -1], [0, 0], [-3, -3], [1, 1], [-2, -2]]]], [[4, 8, 1
, 7, 3], [v = -1, u = 0, x < -2, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[-1, -1], [0, 0], [-3, -3], [1, 1], [0, 0]]]], [[4, 8, 1, 7
, 4], [v = -1, u = 0, x < -2, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -\
1], [0, 0], [-3, -3], [1, 1], [2, 2]]]], [[4, 8, 1, 7, 5], [v = -1, u = 0, x <
-2, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [0, 0], [-3, -3], [1,
1], [3, 3]]]], [[4, 14, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 7, 1], [v = -1, 3^(1/2) <
u, And(0 < x,x < 1), And(x < y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain,
[[-1, -1], [3, 3], [1/2, 1/2], [5, 5], [-4, -4]]]], [[4, 15, 7, 7, 2], [v = -1
, 3^(1/2) < u, And(0 < x,x < 1), And(x < y,y < u^2+x), z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [3, 3], [1/2, 1/2], [5, 5], [-1112183/524288, -\
2224365/1048576]]]], [[4, 15, 7, 7, 3], [v = -1, 3^(1/2) < u, And(0 < x,x < 1)
, And(x < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain
, [[-1, -1], [3, 3], [1/2, 1/2], [5, 5], [0, 0]]]], [[4, 15, 7, 7, 4], [v = -1
, 3^(1/2) < u, And(0 < x,x < 1), And(x < y,y < u^2+x), z = (y-x)^(1/2)], [
regular_chain, [[-1, -1], [3, 3], [1/2, 1/2], [5, 5], [2224365/1048576, 
1112183/524288]]]], [[4, 15, 7, 7, 5], [v = -1, 3^(1/2) < u, And(0 < x,x < 1),
And(x < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [3, 3], [1/
2, 1/2], [5, 5], [4, 4]]]], [[5, 4, 8, 5, 1], [And(-1 < v,v < 0), u = -(v^2+1)
^(1/2), x = 1, And(1 < y,y < 3), z < -(y-1)^(1/2)], [regular_chain, [[-1/2, -1
/2], [-146543/131072, -1172343/1048576], [1, 1], [2, 2], [-2, -2]]]], [[5, 4,
8, 5, 2], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = 1, And(1 < y,y < 3), z =
-(y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/
1048576], [1, 1], [2, 2], [-1, -1]]]], [[5, 4, 8, 5, 3], [And(-1 < v,v < 0), u
= -(v^2+1)^(1/2), x = 1, And(1 < y,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]
, [2, 2], [0, 0]]]], [[5, 4, 8, 5, 4], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2),
x = 1, And(1 < y,y < 3), z = (y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [1, 1], [2, 2], [1, 1]]]], [[5, 4, 8, 5, 5],
[And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = 1, And(1 < y,y < 3), (y-1)^(1/2) <
z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [1, 1],
[2, 2], [2, 2]]]], [[5, 6, 2, 1, 1], [And(-1 < v,v < 0), u = v, x = -1, y < -1
, z = z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1, -1], [-2, -2], [0,
0]]]], [[5, 9, 8, 3, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x
= 0, And(0 < y,y < -u^2+v^2+1), z < -y^(1/2)], [regular_chain, [[-1/2, -1/2],
[1696631/2097152, 1696631/2097152], [0, 0], [312209/1048576, 312209/1048576],
[-2, -2]]]], [[5, 9, 8, 3, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2
)), x = 0, And(0 < y,y < -u^2+v^2+1), z = -y^(1/2)], [regular_chain, [[-1/2, -\
1/2], [1696631/2097152, 1696631/2097152], [0, 0], [312209/1048576, 312209/
1048576], [-572167/1048576, -1144333/2097152]]]], [[5, 9, 8, 3, 3], [And(-1 <
v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 0, And(0 < 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], [312209/1048576, 312209/1048576], [-1/4194304, -1/
4194304]]]], [[5, 9, 8, 3, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2
)), x = 0, And(0 < y,y < -u^2+v^2+1), z = y^(1/2)], [regular_chain, [[-1/2, -1
/2], [1696631/2097152, 1696631/2097152], [0, 0], [312209/1048576, 312209/
1048576], [286083/524288, 572167/1048576]]]], [[5, 9, 8, 3, 5], [And(-1 < v,v
< 0), And(-v < u,u < (v^2+1)^(1/2)), x = 0, And(0 < y,y < -u^2+v^2+1), y^(1/2)
< z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [0, 0
], [312209/1048576, 312209/1048576], [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 = 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, 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], [-1815885/1048576, -1815885/1048576]
, [-1815885/1048576, -1815885/1048576], [0, 0]]]], [[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 = 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, 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 < -y^(1/2)], [regular_chain, [[0, 0], [-1265743/
1048576, -1265743/1048576], [0, 0], [1288231/1048576, 1288231/1048576], [-3, -\
3]]]], [[6, 3, 6, 5, 2], [v = 0, And(-2^(1/2) < u,u < -1), x = 0, And(0 < y,y
< u^2+1), 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, 5, 3], [v = 0, And(-2^(1/2) < u,u < -1), x = 0,
And(0 < y,y < u^2+1), 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, 5, 4], [v = 0, And(-2^(1/2) < u,u < -1), x = 0
, And(0 < y,y < u^2+1), 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, 5, 5], [v = 0, And(-2^(1/2) < u
,u < -1), x = 0, And(0 < y,y < u^2+1), y^(1/2) < z], [regular_chain, [[0, 0],
[-1265743/1048576, -1265743/1048576], [0, 0], [1288231/1048576, 1288231/
1048576], [3, 3]]]], [[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], [239655/524288, 479311/1048576], [-\
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], [239655/524288, 479311/1048576], [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], [239655/524288, 479311/1048576], [1, 1]]]], [[6, 11, 1, 5, 1]
, [v = 0, 2^(1/2) < u, x < -u^2-1, And(x < y,y < u^2+x+1), z < -(y-x)^(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(x < y,y < u^2+x+1), z = -(y-x)^(
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(
x < y,y < u^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2+x+1), z = (y-x)^(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(x < y,y < u^2+x+1), (y-
x)^(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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [
[1/2, 1/2], [-343151/262144, -343151/262144], [2, 2], [3388749/1048576, 
3388749/1048576], [-3, -3]]]], [[7, 3, 11, 7, 2], [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 = -(y-
x)^(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, 7, 3], [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), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))],
[regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [2, 2], [
3388749/1048576, 3388749/1048576], [0, 0]]]], [[7, 3, 11, 7, 4], [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 = (y-x)^(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, 7, 5], [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), (y-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [2, 2], [3388749
/1048576, 3388749/1048576], [3, 3]]]], [[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 = 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], [424157/524288, 848315/1048576], [-3, -3]
]]], [[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 = 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],
[424157/524288, 848315/1048576], [-19417/16384, -1242687/1048576]]]], [[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
= 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], [424157/524288, 848315/1048576], [0, 0]]]], [[7, 5
, 6, 6, 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], [
424157/524288, 848315/1048576], [1242687/1048576, 19417/16384]]]], [[7, 5, 6,
6, 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], [424157/
524288, 848315/1048576], [3, 3]]]], [[8, 1, 5, 2, 1], [v = 1, u < -3^(1/2), 
And(-1 < x,x < 0), y = x-u^2+2, z = z], [regular_chain, [[1, 1], [-3, -3], [-1
/2, -1/2], [-15/2, -15/2], [0, 0]]]], [[8, 2, 7, 7, 1], [v = 1, u = -3^(1/2),
And(0 < x,x < 1), And(x < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[1,
1], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [2, 2], [-3, -3]]]], [[8
, 2, 7, 7, 2], [v = 1, u = -3^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), z =
-(y-x)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152],
[1/2, 1/2], [2, 2], [-1284239/1048576, -642119/524288]]]], [[8, 2, 7, 7, 3], [
v = 1, u = -3^(1/2), And(0 < x,x < 1), And(x < y,y < x+3), And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/
2097152], [1/2, 1/2], [2, 2], [0, 0]]]], [[8, 2, 7, 7, 4], [v = 1, u = -3^(1/2
), And(0 < x,x < 1), And(x < y,y < x+3), z = (y-x)^(1/2)], [regular_chain, [[1
, 1], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [2, 2], [642119/524288
, 1284239/1048576]]]], [[8, 2, 7, 7, 5], [v = 1, u = -3^(1/2), And(0 < x,x < 1
), And(x < y,y < x+3), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-1816187/
1048576, -3632373/2097152], [1/2, 1/2], [2, 2], [3, 3]]]], [[8, 7, 4, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 9, 2, 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, 1, 1], [v = 1, u = 3^(1/2), 1 < x,
y < 0, z = z], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [2,
2], [-1, -1], [0, 0]]]], [[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], [-\
4478937/524288, -8957873/1048576], [-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], [-4478937/524288, -8957873/1048576], [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], [-4478937/524288, -8957873/1048576], [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, u^2-v^2 < y, z < -(y+1)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [2, 2], [-3,
-3]]]], [[9, 5, 4, 9, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u <
-v), x = -1, u^2-v^2 < y, z = -(y+1)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [2, 2], [-\
1816187/1048576, -3632373/2097152]]]], [[9, 5, 4, 9, 3], [And(1 < v,v < 2^(1/2
)), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, u^2-v^2 < y, And(-(y+1)^(1/2) < z,
z < (y+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-1, -1], [2, 2], [-1/4194304, -1/4194304]
]]], [[9, 5, 4, 9, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v)
, x = -1, u^2-v^2 < y, z = (y+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [2, 2], [
908093/524288, 1816187/1048576]]]], [[9, 5, 4, 9, 5], [And(1 < v,v < 2^(1/2)),
And(-(v^2+1)^(1/2) < u,u < -v), x = -1, u^2-v^2 < y, (y+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1, -1], [2, 2], [3, 3]]]], [[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 < u^2-v^2-1, z =
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3293563/2097152, -1646781/1048576], [-3, -3], [0, 0]]]], [
[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, x-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [2, 2], [6, 6], [-3, -3]]]], [[9, 9, 11, 9,
2], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x,
x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [0, 0], [2, 2], [6, 6], [-2, -2]]]], [[9, 9, 11, 9, 3], [And(1 < v,
v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, x-u^2+v^2+1 <
y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576,
1265743/1048576], [0, 0], [2, 2], [6, 6], [0, 0]]]], [[9, 9, 11, 9, 4], [And(1
< v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, x-u^2+v^2+
1 < y, z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[0, 0], [2, 2], [6, 6], [2, 2]]]], [[9, 9, 11, 9, 5], [And(1 < v,v < 2^(1/2)),
And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, x-u^2+v^2+1 < y, (y-x)^(1/2)
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [2, 2], [6,
6], [3, 3]]]], [[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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(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(0 < y,y < u^2-v^2+x+1), z =
-(y-x)^(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(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(0 < y,y < u^2-v^2+x+1), z = (y-x)^(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(0 < y,y
< u^2-v^2+x+1), (y-x)^(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 = x-u^2+v^2+1, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1/2, 1/2], [-\
3168217/524288, -6336433/1048576], [0, 0]]]], [[10, 6, 1, 1, 1], [v = 2^(1/2),
u = -v, x < -1, y < x, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [-2, -2], [-3, -3], [0, 0]]]], [
[10, 7, 9, 4, 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, 4, 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, 4, 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, 11, 7, 1], [v = 2^(1/2), And(0 < u,u < 1), 1 < x, And(x < y,y <
x-u^2+3), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [1/2, 1/2], [2, 2], [27/8, 27/8], [-3, -3]]]], [[10, 11, 11, 7, 2], [v = 2^(
1/2), And(0 < u,u < 1), 1 < x, And(x < y,y < x-u^2+3), z = -(y-x)^(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, 7, 3], [v = 2^(1/2
), And(0 < u,u < 1), 1 < x, And(x < y,y < x-u^2+3), And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [
2, 2], [27/8, 27/8], [0, 0]]]], [[10, 11, 11, 7, 4], [v = 2^(1/2), And(0 < u,u
< 1), 1 < x, And(x < y,y < x-u^2+3), z = (y-x)^(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, 7, 5], [v = 2^(1/2), And(0 < u,u <
1), 1 < x, And(x < y,y < x-u^2+3), (y-x)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [1/2, 1/2], [2, 2], [27/8, 27/8], [3, 3]]]], [[10, 
13, 7, 3, 1], [v = 2^(1/2), And(1 < u,u < v), And(-u^2+1 < x,x < 0), And(x < y
,y < 0), z < -(y-x)^(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, 3, 2], [v = 2^(1/2
), And(1 < u,u < v), And(-u^2+1 < x,x < 0), And(x < y,y < 0), z = -(y-x)^(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, 3, 3], [v =
2^(1/2), And(1 < u,u < v), And(-u^2+1 < x,x < 0), And(x < y,y < 0), And(-(y-x)
^(1/2) < z,z < (y-x)^(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, 3, 4], [v = 2^(1/2),
And(1 < u,u < v), And(-u^2+1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = 2^(1/2),
And(1 < u,u < v), And(-u^2+1 < x,x < 0), And(x < y,y < 0), (y-x)^(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, 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 = 0, z < -(-x)^(1/2)], [regular_chain, [[
3, 3], [-3396811/1048576, -3396811/1048576], [-4, -4], [0, 0], [-3, -3]]]], [[
11, 3, 1, 8, 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, 8, 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, 8, 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, 8, 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, 5, 3, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-1 < x,x
< 0), And(x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-3315889/
1048576, -207243/65536], [-1/2, -1/2], [-1/4, -1/4], [-2, -2]]]], [[11, 4, 5,
3, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0),
z = -(y-x)^(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, 3, 3], [2^(1/2) < v,
u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), And(-(y-x)^(1/2) < z,
z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536],
[-1/2, -1/2], [-1/4, -1/4], [0, 0]]]], [[11, 4, 5, 3, 4], [2^(1/2) < v, u = -(
v^2+1)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(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, 3, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2), 
And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[3, 3]
, [-3315889/1048576, -207243/65536], [-1/2, -1/2], [-1/4, -1/4], [2, 2]]]], [[
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(0 < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-7357527/
4194304, -7357527/4194304], [790805/2097152, 790805/2097152], [-3, -3]]]], [[
11, 9, 3, 7, 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-u^2+v^2+1), z = -(y-x)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-7357527/
4194304, -7357527/4194304], [790805/2097152, 790805/2097152], [-765399/524288,
-1530797/1048576]]]], [[11, 9, 3, 7, 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-u^2+v^2+1), 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [790805/
2097152, 790805/2097152], [0, 0]]]], [[11, 9, 3, 7, 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
-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [-7357527/4194304, -7357527/4194304], [790805/2097152, 
790805/2097152], [1530797/1048576, 765399/524288]]]], [[11, 9, 3, 7, 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-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [
790805/2097152, 790805/2097152], [3, 3]]]], [[11, 10, 6, 1, 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], [-2, -2], [0, 0]]]], [[11, 16, 2, 2, 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, 2, 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, 2, 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, 3
, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 1, And(0 < y,y < 1), z =
z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [1, 1], [1/2, 1/2
], [0, 0]]]], [[1, 2, 3, 7, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-3 < x,
x < -1), And(0 < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[1, 2,
3, 7, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y <
x+3), z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733
/1048576], [-2, -2], [1/2, 1/2], [-3315889/2097152, -207243/131072]]]], [[1, 2
, 3, 7, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y
< x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [-2, -2], [1/2, 1/2], [0, 0]]]], [[1, 2, 3,
7, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < x+
3), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [-2, -2], [1/2, 1/2], [207243/131072, 1657945/1048576]]]], [[1, 2, 3
, 7, 5], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y <
x+3), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [-2, -2], [1/2, 1/2], [3, 3]]]], [[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(0 < y,y < u^2-v
^2-1), z = z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576]
, [129511/262144, 518045/1048576], [129511/524288, 129511/524288], [0, 0]]]],
[[1, 8, 4, 3, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -1, And(-1 < y,y < 0)
, z < -(y+1)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [-1, -1], [-1/2, -1/2], [-2, -2]]]], [[1, 8, 4, 3, 2], [v < -2^(1/2)
, u = -(v^2-1)^(1/2), x = -1, And(-1 < y,y < 0), z = -(y+1)^(1/2)], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-1, -1], [-1
/2, -1/2], [-1482911/2097152, -741455/1048576]]]], [[1, 8, 4, 3, 3], [v < -2^(
1/2), u = -(v^2-1)^(1/2), x = -1, And(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z <
(y+1)^(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 = (y+1)^(1/2)], [regular_chain, [[-3
, -3], [-2965821/1048576, -11863283/4194304], [-1, -1], [-1/2, -1/2], [741455/
1048576, 46341/65536]]]], [[1, 8, 4, 3, 5], [v < -2^(1/2), u = -(v^2-1)^(1/2),
x = -1, And(-1 < y,y < 0), (y+1)^(1/2) < z], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [-1, -1], [-1/2, -1/2], [2, 2]]]], [[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 = 0, z = z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [1, 1], [0, 0], [0, 0]]]], [[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-u^2+v^2+1, z < -(-u^
2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152]
, [-391287/524288, -391287/524288], [399003/524288, 798007/1048576], [-3, -3]]
]], [[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-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain,
[[-3, -3], [6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288
], [399003/524288, 798007/1048576], [-1287385/1048576, -160923/131072]]]], [[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-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], [-391287/
524288, -391287/524288], [399003/524288, 798007/1048576], [0, 0]]]], [[1, 15,
5, 8, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^
2-1), y = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [399003/
524288, 798007/1048576], [160923/131072, 1287385/1048576]]]], [[1, 15, 5, 8, 5
], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y
= x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-391287/524288, -391287/524288], [399003/524288, 
798007/1048576], [3, 3]]]], [[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 = x, z < 0], [regular_chain, [[-3
, -3], [403851/131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [
-326817/262144, -1307267/1048576], [-1, -1]]]], [[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 = x, z = 0],
[regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-2614535/2097152,
-2614535/2097152], [-326817/262144, -1307267/1048576], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [
-2614535/2097152, -2614535/2097152], [-326817/262144, -1307267/1048576], [1, 1
]]]], [[1, 21, 5, 7, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-1 < x,x < 0),
And(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [5,
5], [-1/2, -1/2], [33/4, 33/4], [-4, -4]]]], [[1, 21, 5, 7, 2], [v < -2^(1/2),
(v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(
1/2)], [regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2], [33/4, 33/4], [-\
49627675/16777216, -24813837/8388608]]]], [[1, 21, 5, 7, 3], [v < -2^(1/2), (v
^2+2)^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/
2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2], [33
/4, 33/4], [-5/16777216, -5/16777216]]]], [[1, 21, 5, 7, 4], [v < -2^(1/2), (v
^2+2)^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), z = (y-x)^(1/2
)], [regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2], [33/4, 33/4], [3101729/
1048576, 1550865/524288]]]], [[1, 21, 5, 7, 5], [v < -2^(1/2), (v^2+2)^(1/2) <
u, And(-1 < x,x < 0), And(0 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2], [33/4, 33/4], [4, 4]]]], [[2,
1, 8, 3, 1], [v = -2^(1/2), u < -2, x = 1, And(-u^2+4 < y,y < 0), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [1, 1], [-5/2, -\
5/2], [0, 0]]]], [[2, 10, 4, 7, 1], [v = -2^(1/2), u = 0, x = -1, And(0 < y,y
< 2), z < -(y+1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[0, 0], [-1, -1], [1, 1], [-3, -3]]]], [[2, 10, 4, 7, 2], [v = -2^(1/2), u = 0
, x = -1, And(0 < y,y < 2), z = -(y+1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [0, 0], [-1, -1], [1, 1], [-1482911/1048576, -741455
/524288]]]], [[2, 10, 4, 7, 3], [v = -2^(1/2), u = 0, x = -1, And(0 < y,y < 2)
, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [0, 0], [-1, -1], [1, 1], [0, 0]]]], [[2, 10, 4, 7, 4], [v =
-2^(1/2), u = 0, x = -1, And(0 < y,y < 2), z = (y+1)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [0, 0], [-1, -1], [1, 1], [741455/524288,
1482911/1048576]]]], [[2, 10, 4, 7, 5], [v = -2^(1/2), u = 0, x = -1, And(0 <
y,y < 2), (y+1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288
], [0, 0], [-1, -1], [1, 1], [3, 3]]]], [[2, 11, 9, 5, 1], [v = -2^(1/2), And(
0 < u,u < 1), And(-u^2+1 < x,x < 1), And(u^2+x-1 < y,y < x), 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+2), z < -(y-x)^(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, 5, 2], [v = -2^(1/2), u = 3^(1/2), And(-1 < x
,x < 0), And(0 < y,y < x+2), z = -(y-x)^(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, 5, 3], [v = -2^(1/2
), u = 3^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), And(-(y-x)^(1/2) < z,z
< (y-x)^(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, 5,
4], [v = -2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+2), z = (y-
x)^(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, 5, 5], [v = -2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), And(0 <
y,y < x+2), (y-x)^(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, 11, 2, 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, 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+2), z < -(y
-x)^(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, 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+2), z = -(y-x)^(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, 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+2), And(-(y-x)^(1/2) <
z,z < (y-x)^(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, 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+2), z = (y-x)^(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, 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+2), (y-x)^(1/2) < z
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-3/2, -3/2], [1/4, 1/4], [3, 3]]]], [[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-u
^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [1/2, 1/2], [1082627/
1048576, 270657/262144], [-2, -2]]]], [[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-u^2+v^2+1, z = -(-
u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [1/2, 1/2], [1082627/1048576, 270657/
262144], [-1530309/2097152, -382577/524288]]]], [[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-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], [1/2
, 1/2], [1082627/1048576, 270657/262144], [0, 0]]]], [[3, 5, 9, 6, 4], [And(-2
^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), y = x-u^2
+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [1/2, 1/2], [1082627/1048576,
270657/262144], [382577/524288, 765155/1048576]]]], [[3, 5, 9, 6, 5], [And(-2^
(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), y = x-u^2+
v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [1/2, 1/2], [1082627/1048576,
270657/262144], [2, 2]]]], [[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+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, 6, 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, 6, 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, 6, 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, 6, 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, 11, 3, 1], [And(-2^(1/2) < v,v < -1), And
((v^2-1)^(1/2) < u,u < -v), 1 < x, And(0 < y,y < x), z = z], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [2, 2]
, [1, 1], [0, 0]]]], [[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 = 0, z < -1], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-1, -1],
[0, 0], [-2, -2]]]], [[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 = 0, z = -1], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-1, -1],
[0, 0], [-1, -1]]]], [[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 = 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, 6, 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, 6, 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, 7, 2, 1], [And(-2^(1/2) < v,v <
-1), u = (v^2+2)^(1/2), And(0 < x,x < 1), y = x-1, 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, 7, 1], [v = -1, And(-3^(1/2) < u,u < -2
^(1/2)), And(0 < x,x < u^2-2), And(x < y,y < u^2+x), z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [248903/
1048576, 248903/1048576], [773191/524288, 773191/524288], [-3, -3]]]], [[4, 3,
7, 7, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), And(x
< y,y < u^2+x), z = -(y-x)^(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, 7, 3], [v =
-1, And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), And(x < y,y < u^2+x)
, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [-6598195
/4194304, -6598195/4194304], [248903/1048576, 248903/1048576], [773191/524288,
773191/524288], [0, 0]]]], [[4, 3, 7, 7, 4], [v = -1, And(-3^(1/2) < u,u < -2^
(1/2)), And(0 < x,x < u^2-2), And(x < y,y < u^2+x), z = (y-x)^(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, 7, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)),
And(0 < x,x < u^2-2), And(x < y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain,
[[-1, -1], [-6598195/4194304, -6598195/4194304], [248903/1048576, 248903/
1048576], [773191/524288, 773191/524288], [3, 3]]]], [[4, 5, 3, 3, 1], [v = -1
, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(x < y,y < x-u^2+2), z <
-(y-x)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576]
, [-1288231/1048576, -1288231/1048576], [-2007197/2097152, -2007197/2097152],
[-2, -2]]]], [[4, 5, 3, 3, 2], [v = -1, And(-2^(1/2) < u,u < -1), And(-u^2 < x
,x < -1), And(x < y,y < x-u^2+2), z = -(y-x)^(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, 3, 3], [v = -1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(
x < y,y < x-u^2+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [v = -1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(
x < y,y < x-u^2+2), z = (y-x)^(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, 3,
5], [v = -1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(x < y,y < x-u
^2+2), (y-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-1288231/1048576, -1288231/1048576], [-2007197/2097152, -\
2007197/2097152], [2, 2]]]], [[4, 11, 6, 3, 1], [v = -1, And(1 < u,u < 2^(1/2)
), x = u^2-2, And(u^2-2 < y,y < 0), z < -(y-u^2+2)^(1/2)], [regular_chain, [[-\
1, -1], [1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576
], [-569265/2097152, -569265/2097152], [-2, -2]]]], [[4, 11, 6, 3, 2], [v = -1
, And(1 < u,u < 2^(1/2)), x = u^2-2, And(u^2-2 < y,y < 0), z = -(y-u^2+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, 3, 3], [v = -1, And(1 < u,u < 2^(1/2)
), x = u^2-2, And(u^2-2 < y,y < 0), And(-(y-u^2+2)^(1/2) < z,z < (y-u^2+2)^(1/
2))], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1138531
/2097152, -569265/1048576], [-569265/2097152, -569265/2097152], [0, 0]]]], [[4
, 11, 6, 3, 4], [v = -1, And(1 < u,u < 2^(1/2)), x = u^2-2, And(u^2-2 < y,y <
0), z = (y-u^2+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, 3, 5], [v = -1, And(
1 < u,u < 2^(1/2)), x = u^2-2, And(u^2-2 < y,y < 0), (y-u^2+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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 4, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), u^2-v^
2-1 < x, y = x-u^2+v^2+1, z = z], [regular_chain, [[-1/2, -1/2], [-3, -3], [9,
9], [5/4, 5/4], [0, 0]]]], [[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 < -(y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1, -1], [3,
3], [-3, -3]]]], [[5, 3, 4, 9, 2], [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 = -(y+1)^(1/2)], [regular_chain, [
[-1/2, -1/2], [-343151/262144, -343151/262144], [-1, -1], [3, 3], [-2, -2]]]],
[[5, 3, 4, 9, 3], [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, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1, -1], [3,
3], [0, 0]]]], [[5, 3, 4, 9, 4], [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 = (y+1)^(1/2)], [regular_chain, [[-1
/2, -1/2], [-343151/262144, -343151/262144], [-1, -1], [3, 3], [2, 2]]]], [[5,
3, 4, 9, 5], [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, (y+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [-1, -1], [3, 3], [3, 3]]]], [[5, 12, 5, 2, 1], [And(
-1 < v,v < 0), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = x-1, 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, 7, 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 < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1/2
, -1/2], [3, 3], [35/8, 35/8], [37/4, 37/4], [-4, -4]]]], [[5, 13, 9, 7, 2], [
And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(x < y,y <
u^2-v^2+x+1), z = -(y-x)^(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, 7, 3]
, [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(x < y,y
< u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2
, -1/2], [3, 3], [35/8, 35/8], [37/4, 37/4], [0, 0]]]], [[5, 13, 9, 7, 4], [
And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(x < y,y <
u^2-v^2+x+1), z = (y-x)^(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, 7, 5],
[And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(x < y,y <
u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3, 3], [35/8,
35/8], [37/4, 37/4], [4, 4]]]], [[6, 5, 1, 3, 1], [v = 0, And(-1 < u,u < 0), x
< -u^2-1, And(x < y,y < x-u^2+1), z < -(y-x)^(1/2)], [regular_chain, [[0, 0],
[-1/2, -1/2], [-3, -3], [-21/8, -21/8], [-2, -2]]]], [[6, 5, 1, 3, 2], [v = 0,
And(-1 < u,u < 0), x < -u^2-1, And(x < y,y < x-u^2+1), z = -(y-x)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [-21/8, -21/8], [-1284239/
2097152, -642119/1048576]]]], [[6, 5, 1, 3, 3], [v = 0, And(-1 < u,u < 0), x <
-u^2-1, And(x < y,y < x-u^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [-21/8, -21/8], [0, 0]]]], [[6
, 5, 1, 3, 4], [v = 0, And(-1 < u,u < 0), x < -u^2-1, And(x < y,y < x-u^2+1),
z = (y-x)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [-21/8, -21
/8], [642119/1048576, 80265/131072]]]], [[6, 5, 1, 3, 5], [v = 0, And(-1 < u,u
< 0), x < -u^2-1, And(x < y,y < x-u^2+1), (y-x)^(1/2) < z], [regular_chain, [[
0, 0], [-1/2, -1/2], [-3, -3], [-21/8, -21/8], [2, 2]]]], [[6, 6, 4, 5, 1], [v
= 0, u = 0, x = 0, 1 < y, z < -y^(1/2)], [regular_chain, [[0, 0], [0, 0], [0,
0], [2, 2], [-3, -3]]]], [[6, 6, 4, 5, 2], [v = 0, u = 0, x = 0, 1 < y, z = -y
^(1/2)], [regular_chain, [[0, 0], [0, 0], [0, 0], [2, 2], [-1482911/1048576, -\
741455/524288]]]], [[6, 6, 4, 5, 3], [v = 0, u = 0, x = 0, 1 < y, And(-y^(1/2)
< z,z < y^(1/2))], [regular_chain, [[0, 0], [0, 0], [0, 0], [2, 2], [0, 0]]]],
[[6, 6, 4, 5, 4], [v = 0, u = 0, x = 0, 1 < y, z = y^(1/2)], [regular_chain, [
[0, 0], [0, 0], [0, 0], [2, 2], [741455/524288, 1482911/1048576]]]], [[6, 6, 4
, 5, 5], [v = 0, u = 0, x = 0, 1 < y, y^(1/2) < z], [regular_chain, [[0, 0], [
0, 0], [0, 0], [2, 2], [3, 3]]]], [[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(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = 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, 8, 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, 8, 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, 8, 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, 8, 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, 7, 3, 2, 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, 2, 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, 2, 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, 1, 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], [-1, -1], [0, 0]]]], [[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(0 < y,y < -u^2+v^2+2), z = z], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [1, 1], [562533/2097152, 562533/2097152], [0, 0]]]], [
[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 = x, z < 0], [regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8], [-43/
8, -43/8], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[1/2, 1/2], [3,
3], [-43/8, -43/8], [-43/8, -43/8], [0, 0]]]], [[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 = x, 0 < z], [
regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8], [-43/8, -43/8], [1, 1]]]],
[[8, 4, 3, 1, 1], [v = 1, u = -2^(1/2), And(-2 < x,x < -1), y < x, z = z], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-3/2, -3/2], [-3,
-3], [0, 0]]]], [[8, 5, 8, 5, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = 0, And
(-u^2+2 < y,y < u^2), z < -y^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [0, 0], [1, 1], [-2, -2]]]], [[8, 5, 8, 5, 2], [v
= 1, And(-2^(1/2) < u,u < -1), x = 0, And(-u^2+2 < y,y < u^2), z = -y^(1/2)],
[regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [0, 0], [1, 1],
[-1, -1]]]], [[8, 5, 8, 5, 3], [v = 1, And(-2^(1/2) < 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], [-\
1265743/1048576, -1265743/1048576], [0, 0], [1, 1], [0, 0]]]], [[8, 5, 8, 5, 4
], [v = 1, And(-2^(1/2) < u,u < -1), x = 0, And(-u^2+2 < y,y < u^2), z = y^(1/
2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [0, 0], [1
, 1], [1, 1]]]], [[8, 5, 8, 5, 5], [v = 1, And(-2^(1/2) < u,u < -1), x = 0, 
And(-u^2+2 < y,y < u^2), y^(1/2) < z], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [0, 0], [1, 1], [2, 2]]]], [[8, 11, 11, 9, 1], [v
= 1, And(1 < u,u < 2^(1/2)), 1 < x, u^2+x < y, z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [2, 2], [5, 5], [-\
3, -3]]]], [[8, 11, 11, 9, 2], [v = 1, And(1 < u,u < 2^(1/2)), 1 < x, u^2+x <
y, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [2, 2], [5, 5], [-1816187/1048576, -3632373/2097152]]]], [[8, 11, 11
, 9, 3], [v = 1, And(1 < u,u < 2^(1/2)), 1 < x, u^2+x < y, And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [2, 2], [5, 5], [-1/4194304, -1/4194304]]]], [[8, 11, 11, 9, 4], [v
= 1, And(1 < u,u < 2^(1/2)), 1 < x, u^2+x < y, z = (y-x)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [2, 2], [5, 5], [
908093/524288, 1816187/1048576]]]], [[8, 11, 11, 9, 5], [v = 1, And(1 < u,u <
2^(1/2)), 1 < x, u^2+x < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [2, 2], [5, 5], [3, 3]]]], [[8, 13, 7, 1, 1
], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), y < x-u^2+2, z
= z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [497805/
2097152, 497805/2097152], [-2, -2], [0, 0]]]], [[9, 2, 6, 1, 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
], [-2, -2], [0, 0]]]], [[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 = -u^2+v^2+2, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [1, 1], [273305/524288, 546611/1048576], [0, 0]]]], [[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 = 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], [122559/524288, 245119/1048576], [-3, -3]]
]], [[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 = 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], [122559/524288, 245119/1048576
], [-1270261/1048576, -317565/262144]]]], [[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 = u^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], [122559/524288, 245119/1048576], [0, 0]]]]
, [[9, 13, 3, 8, 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], [122559/524288, 245119/1048576
], [317565/262144, 1270261/1048576]]]], [[9, 13, 3, 8, 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], [
122559/524288, 245119/1048576], [3, 3]]]], [[9, 14, 7, 3, 1], [And(1 < v,v < 2
^(1/2)), u = (v^2+1)^(1/2), And(0 < x,x < 1), And(0 < y,y < x), 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, 9, 1], [v = 2^(1/2), u
< -2, x = 1, u^2 < y, z < -(y-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [1, 1], [10, 10], [-4, -4]]]], [[10, 1, 8, 9, 2],
[v = 2^(1/2), u < -2, x = 1, u^2 < y, z = -(y-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [1, 1], [10, 10], [-3, -3]]]], [[10
, 1, 8, 9, 3], [v = 2^(1/2), u < -2, x = 1, u^2 < y, 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, 9, 4], [v = 2^(1/2), u < -2, x = 1, u^2
< y, z = (y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3,
-3], [1, 1], [10, 10], [3, 3]]]], [[10, 1, 8, 9, 5], [v = 2^(1/2), u < -2, x =
1, u^2 < y, (y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576
], [-3, -3], [1, 1], [10, 10], [4, 4]]]], [[10, 3, 2, 1, 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], [-4, -4], [0, 0]]]], [[10, 9, 3, 9, 1], [v =
2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), x-u^2+3 < y, z < -(y-x)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-15/8,
-15/8], [2, 2], [-3, -3]]]], [[10, 9, 3, 9, 2], [v = 2^(1/2), And(-1 < u,u < 0
), And(u^2-3 < x,x < -1), x-u^2+3 < y, z = -(y-x)^(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, 9, 3], [v = 2^(1/2), And
(-1 < u,u < 0), And(u^2-3 < x,x < -1), x-u^2+3 < y, And(-(y-x)^(1/2) < z,z < (
y-x)^(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, 9, 4], [v =
2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), x-u^2+3 < y, z = (y-x)^(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, 9, 5], [v = 2^
(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), x-u^2+3 < y, (y-x)^(1/2) < z]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-15/8, -15
/8], [2, 2], [3, 3]]]], [[10, 10, 5, 8, 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, 8, 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, 8, 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, 8, 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, 8,
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, 15, 3, 8, 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], [248903/1048576, 31113/131072], [-3, -3]]]], [[10
, 15, 3, 8, 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], [248903/1048576, 31113/131072], [-1273381/1048576, -318345/262144]]]
], [[10, 15, 3, 8, 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], [248903/1048576, 31113/131072], [0, 0]]]],
[[10, 15, 3, 8, 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], [248903/1048576, 31113/131072], [318345/262144, 1273381/1048576]]]],
[[10, 15, 3, 8, 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], [248903/1048576, 31113/131072], [3, 3]]]], [[10, 16, 7, 3, 1], [v =
2^(1/2), u = 3^(1/2), And(0 < x,x < 1), And(0 < y,y < x), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[10, 19, 7, 2, 1], [v = 2^(1/2),
2 < u, And(0 < x,x < 1), y = x-u^2+3, z = z], [regular_chain, [[741455/524288,
1482911/1048576], [3, 3], [1/2, 1/2], [-11/2, -11/2], [0, 0]]]], [[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 < x-u^2+v^
2+1, z = z], [regular_chain, [[3, 3], [-5, -5], [8, 8], [-8, -8], [0, 0]]]], [
[11, 6, 1, 1, 1], [2^(1/2) < v, u = -v, x < -1, y < x, z = z], [regular_chain,
[[3, 3], [-3, -3], [-2, -2], [-3, -3], [0, 0]]]], [[11, 7, 8, 7, 1], [2^(1/2)
< v, And(-v < u,u < -(v^2-1)^(1/2)), x = 0, -u^2+v^2+1 < y, z < -y^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [0, 0], [3, 3],
[-3, -3]]]], [[11, 7, 8, 7, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
x = 0, -u^2+v^2+1 < y, z = -y^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [0, 0], [3, 3], [-1816187/1048576, -3632373/
2097152]]]], [[11, 7, 8, 7, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
x = 0, -u^2+v^2+1 < y, 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, 7, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
x = 0, -u^2+v^2+1 < y, z = y^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [0, 0], [3, 3], [908093/524288, 1816187/1048576]]]
], [[11, 7, 8, 7, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 0, -u^
2+v^2+1 < y, y^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [0, 0], [3, 3], [3, 3]]]], [[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 < x), z = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [
-1/2, -1/2], [-395403/524288, -395403/524288], [0, 0]]]], [[11, 14, 9, 2, 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, 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 < -y^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576],
[0, 0], [4, 4], [-3, -3]]]], [[11, 19, 6, 7, 2], [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 = -y^(1/2)], [regular_chain
, [[3, 3], [3396811/1048576, 3396811/1048576], [0, 0], [4, 4], [-2, -2]]]], [[
11, 19, 6, 7, 3], [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, 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, 7,
4], [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 = y^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576],
[0, 0], [4, 4], [2, 2]]]], [[11, 19, 6, 7, 5], [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, y^(1/2) < z], [regular_chain, [[
3, 3], [3396811/1048576, 3396811/1048576], [0, 0], [4, 4], [3, 3]]]], [[11, 20
, 9, 1, 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], [-1, -1], [
0, 0]]]], [[1, 5, 2, 7, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x =
-u^2+v^2-1, 0 < y, 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, 7, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x =
-u^2+v^2-1, 0 < y, 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, 7, 3], [v < -2^(1/2), And(-(
v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, 0 < y, 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, 7,
4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, 0 < y, 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, 7, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x =
-u^2+v^2-1, 0 < y, (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, 6, 6, 6, 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, 6,
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, 6, 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, 6, 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, 6
, 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, 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 = 0, z < -(-u^2+v^2+1)^(1/
2)], [regular_chain, [[-3, -3], [0, 0], [-10, -10], [0, 0], [-5, -5]]]], [[1,
11, 2, 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 = 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, 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 = 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, 6, 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, 6, 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, 5, 2
, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-1 < x,x < 0), y = x-1, z = z], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1/2, -1/2], [-3/2,
-3/2], [0, 0]]]], [[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+2), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3],
[207243/65536, 3315889/1048576], [-1/2, -1/2], [3/4, 3/4], [-3, -3]]]], [[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+2), z = -(y-x)^(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, 5, 3], [v < -2^(1/2), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y
,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3],
[207243/65536, 3315889/1048576], [-1/2, -1/2], [3/4, 3/4], [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
+2), z = (y-x)^(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, 5, 5], [v < -2^(1/2), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y
< x+2), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [207243/65536, 3315889/
1048576], [-1/2, -1/2], [3/4, 3/4], [3, 3]]]], [[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 = 0, z = z], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [2, 2], [0, 0],
[0, 0]]]], [[2, 2, 9, 9, 1], [v = -2^(1/2), u = -2, 1 < x, x+3 < y, z < -(y-x)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [2, 2]
, [6, 6], [-3, -3]]]], [[2, 2, 9, 9, 2], [v = -2^(1/2), u = -2, 1 < x, x+3 < y
, z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2,
-2], [2, 2], [6, 6], [-2, -2]]]], [[2, 2, 9, 9, 3], [v = -2^(1/2), u = -2, 1 <
x, x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911
/1048576, -741455/524288], [-2, -2], [2, 2], [6, 6], [0, 0]]]], [[2, 2, 9, 9,
4], [v = -2^(1/2), u = -2, 1 < x, x+3 < y, z = (y-x)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [-2, -2], [2, 2], [6, 6], [2, 2]]]], [[2,
2, 9, 9, 5], [v = -2^(1/2), u = -2, 1 < x, x+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [2, 2], [6, 6],
[3, 3]]]], [[2, 4, 4, 2, 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, 2, 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, 2, 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, 7, 1], [v = -2^(1/
2), And(v < u,u < -1), And(-u^2+1 < x,x < 0), And(u^2+x-1 < y,y < x-u^2+3), z
< -(y-x)^(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, 7, 2], [v = -2^(1/2),
And(v < u,u < -1), And(-u^2+1 < x,x < 0), And(u^2+x-1 < y,y < x-u^2+3), z = -(
y-x)^(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, 7, 3], [v = -2^(1/2), And(v
< u,u < -1), And(-u^2+1 < x,x < 0), And(u^2+x-1 < y,y < x-u^2+3), And(-(y-x)^(
1/2) < z,z < (y-x)^(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, 7, 4], [v = -2^(1/2), 
And(v < u,u < -1), And(-u^2+1 < x,x < 0), And(u^2+x-1 < y,y < x-u^2+3), z = (y
-x)^(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, 7, 5], [v = -2^(1/2), And(v <
u,u < -1), And(-u^2+1 < x,x < 0), And(u^2+x-1 < y,y < x-u^2+3), (y-x)^(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, 3, 3, 1], [v = -2^(1/2), And(-1 < u,u < 0), And(u
^2-3 < x,x < -1), And(u^2+x-1 < y,y < x), z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [-15/8, -15/8], [-9/4, -9/4], [0, 0]]]
], [[2, 13, 5, 8, 1], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1)
, y = x-u^2+3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -\
1527887/2097152], [853897/1048576, 426949/524288], [-3, -3]]]], [[2, 13, 5, 8,
2], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), y = x-u^2+3, z =
-(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [
853897/1048576, 426949/524288], [-1302471/1048576, -651235/524288]]]], [[2, 13
, 5, 8, 3], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), y = x-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], [-1527887/
2097152, -1527887/2097152], [853897/1048576, 426949/524288], [0, 0]]]], [[2, 
13, 5, 8, 4], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), y = x-
u^2+3, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [
853897/1048576, 426949/524288], [651235/524288, 1302471/1048576]]]], [[2, 13,
5, 8, 5], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), y = x-u^2+
3, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [
853897/1048576, 426949/524288], [3, 3]]]], [[2, 15, 3, 2, 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], [-1297479/1048576, -648739/524288], [-1, -\
1]]]], [[2, 15, 3, 2, 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], [-\
1297479/1048576, -648739/524288], [0, 0]]]], [[2, 15, 3, 2, 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], [-1297479/1048576, -648739/524288], [1, 1]
]]], [[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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-3, -3], [1/2, 1/2], [9482161/1048576, 4741081/
524288], [-4, -4]]]], [[3, 1, 7, 8, 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], [
9482161/1048576, 4741081/524288], [-1532401/524288, -24518415/8388608]]]], [[3
, 1, 7, 8, 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], [
9482161/1048576, 4741081/524288], [-7/16777216, -7/16777216]]]], [[3, 1, 7, 8,
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], [9482161/1048576, 4741081/524288], [3064801/
1048576, 1532401/524288]]]], [[3, 1, 7, 8, 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], [
9482161/1048576, 4741081/524288], [4, 4]]]], [[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 = x,
z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [-4, -4], [-4, -4], [-1, -1]]]], [[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 = x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-14373233/8388608, -14373233/8388608], [-4, -4], [-4, -4], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4, -4], [-4, -4],
[1, 1]]]], [[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(u^2-v^2+x+1 < y,y < x-u^2+v^2+1), z <
-(y-x)^(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, 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(u^2
-v^2+x+1 < y,y < x-u^2+v^2+1), z = -(y-x)^(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, 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(u^2-v^2+x+1 < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z
,z < (y-x)^(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, 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(u^2-v
^2+x+1 < y,y < x-u^2+v^2+1), z = (y-x)^(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, 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(u^2-v^2+x+1 < y,y < x-u^2+v^2+1), (y-x)^(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, 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 < x), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0],
[-1812519/1048576, -1812519/1048576], [-1026087/524288, -1026087/524288], [0,
0]]]], [[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 = 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], [
7909297/524288, 15818595/1048576], [-4, -4]]]], [[3, 17, 10, 6, 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], [7909297/524288, 15818595/1048576], [-\
1532401/524288, -24518415/8388608]]]], [[3, 17, 10, 6, 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], [7909297/524288, 15818595
/1048576], [-7/16777216, -7/16777216]]]], [[3, 17, 10, 6, 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], [7909297/524288, 15818595/1048576], [3064801
/1048576, 1532401/524288]]]], [[3, 17, 10, 6, 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], [7909297/524288, 15818595/1048576], [4, 4]]]], [[4, 2, 2, 2
, 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, 1, 1], [v = -1, u = -1, x = 1, y < 0, z = z], [regular_chain, [[-1, -1], [-\
1, -1], [1, 1], [-1, -1], [0, 0]]]], [[4, 8, 2, 1, 1], [v = -1, u = 0, x = -2,
y < -2, z = z], [regular_chain, [[-1, -1], [0, 0], [-2, -2], [-3, -3], [0, 0]]
]], [[4, 14, 3, 5, 1], [v = -1, u = 3^(1/2), And(-3 < x,x < -1), And(x < y,y <
0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0),
And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(
x < y,y < 0), (y-x)^(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+3, z = z], [regular_chain, [[-1, -1], [3, 3], [1,
1], [-7, -7], [0, 0]]]], [[5, 4, 8, 2, 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, 2, 2, 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, 2, 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, 2, 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, 8, 2, 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, 2, 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, 2, 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, 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(0 < y,y < u^2-v^2
+x+1), z < -(y-x)^(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, 7, 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 < u^2-v^2+x+
1), z = -(y-x)^(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, 7, 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 < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 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 < u^2-v^2+x+1), z = (y-x)^(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, 7, 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 < u^2-v^2+x+1), (y-x)^(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, 2, 1, 1], [v = 0, u = -2^(1/2), x = -3, y < -4, z = z], [regular_chain, [[0
, 0], [-1482911/1048576, -741455/524288], [-3, -3], [-5, -5], [0, 0]]]], [[6,
3, 6, 6, 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],
[1288231/524288, 2576463/1048576], [-3, -3]]]], [[6, 3, 6, 6, 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], [1288231/524288, 2576463
/1048576], [-410915/262144, -3287319/2097152]]]], [[6, 3, 6, 6, 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
], [1288231/524288, 2576463/1048576], [-1/4194304, -1/4194304]]]], [[6, 3, 6,
6, 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], [
1288231/524288, 2576463/1048576], [1643659/1048576, 410915/262144]]]], [[6, 3,
6, 6, 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], [
1288231/524288, 2576463/1048576], [3, 3]]]], [[6, 9, 8, 3, 1], [v = 0, And(1 <
u,u < 2^(1/2)), x = u^2-1, And(0 < y,y < u^2-1), z = z], [regular_chain, [[0,
0], [1265743/1048576, 1265743/1048576], [239655/524288, 479311/1048576], [
239655/1048576, 239655/1048576], [0, 0]]]], [[6, 11, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 4, 1], [And(0 < v,v < 1)
, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = x-u^2+v^2+1, z = z],
[regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [2, 2], [
1611109/1048576, 805555/524288], [0, 0]]]], [[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, 2*u^2-2*v^2 < y, z < -(y-u^2
+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-624419/1048576, -1248837/2097152], [2, 2], [-3, -3]]]], [[7, 5, 6,
7, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, 2*u^2
-2*v^2 < y, z = -(y-u^2+v^2+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, 7, 3], [And(0 < v,v < 1), And(-(
v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, 2*u^2-2*v^2 < y, And(-(y-u^2+v^2+1)^(
1/2) < z,z < (y-u^2+v^2+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, 7, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/
2) < u,u < -v), x = u^2-v^2-1, 2*u^2-2*v^2 < y, z = (y-u^2+v^2+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, 7, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, 2*
u^2-2*v^2 < y, (y-u^2+v^2+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, 3, 1], [v = 1, u < -3^(1/2), And(-1 < x,x < 0), And(x
-u^2+2 < y,y < x), z = z], [regular_chain, [[1, 1], [-3, -3], [-1/2, -1/2], [-\
4, -4], [0, 0]]]], [[8, 2, 7, 4, 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, 5, 2, 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, 2, 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, 2, 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, 8, 9, 1, 1], [v = 1, u = 0, 1 <
x, y < 0, z = z], [regular_chain, [[1, 1], [0, 0], [2, 2], [-1, -1], [0, 0]]]]
, [[8, 14, 9, 2, 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
, 2, 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 = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3,
-3], [-4478937/524288, -8957873/1048576], [-17, -17], [0, 0]]]], [[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(x < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
3213831/4194304, -3213831/4194304], [-4194307/8388608, -4194307/8388608], [-2,
-2]]]], [[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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [-4194307/8388608, -\
4194307/8388608], [-270523/524288, -1082091/2097152]]]], [[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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [-4194307/8388608, -\
4194307/8388608], [-1/4194304, -1/4194304]]]], [[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(x <
y,y < x-u^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/4194304, -\
3213831/4194304], [-4194307/8388608, -4194307/8388608], [541045/1048576, 
270523/524288]]]], [[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(x < y,y < x-u^2+v^2+1), (y-x)^(
1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-3213831/4194304, -3213831/4194304], [-4194307/
8388608, -4194307/8388608], [2, 2]]]], [[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, 0 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3, -3], [1, 1], [-3, -3]]]], [[9, 7, 1, 9, 2], [And(1 < v,
v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, 0 < y, z = -(y-x)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-3, -3], [1, 1], [-2, -2]]]], [[9, 7, 1, 9, 3], [
And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, 0 < y,
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [1, 1], [0,
0]]]], [[9, 7, 1, 9, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2
)), x < u^2-v^2-1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [1, 1], [2,
2]]]], [[9, 7, 1, 9, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2
)), x < u^2-v^2-1, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [1, 1], [3,
3]]]], [[9, 10, 1, 1, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x < -2,
y < x, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [-3, -3], [-4, -4], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341
/1048576, 987341/1048576], [-450371/2097152, -450371/2097152], [-112593/524288
, -225185/1048576], [-1, -1]]]], [[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 = x, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-450371/2097152, -450371/2097152], [-112593/524288, -225185/1048576
], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-450371/2097152,
-450371/2097152], [-112593/524288, -225185/1048576], [1, 1]]]], [[9, 16, 2, 7,
1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -3, 0 < y, z < -(y+3)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 
1949649/1048576], [-3, -3], [1, 1], [-3, -3]]]], [[9, 16, 2, 7, 2], [And(1 < v
,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -3, 0 < y, z = -(y+3)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-3, -3], [1, 1], [-2, -2]]]], [[9, 16, 2, 7, 3], [And(1 < v,v < 2^(
1/2)), u = (v^2+2)^(1/2), x = -3, 0 < y, And(-(y+3)^(1/2) < z,z < (y+3)^(1/2))
], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649
/1048576], [-3, -3], [1, 1], [0, 0]]]], [[9, 16, 2, 7, 4], [And(1 < v,v < 2^(1
/2)), u = (v^2+2)^(1/2), x = -3, 0 < y, z = (y+3)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-3, -3],
[1, 1], [2, 2]]]], [[9, 16, 2, 7, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/
2), x = -3, 0 < y, (y+3)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [121853/65536, 1949649/1048576], [-3, -3], [1, 1], [3, 3]]]]
, [[9, 17, 7, 1, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(0 < x,x <
1), y < x-u^2+v^2+1, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [1/2, 1/2], [-8, -8], [0, 0]]]], [[10, 6, 1, 2, 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, 2, 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, 2, 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, 1, 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], [-1, -1], [0, 0]]]], [[10, 12, 1, 1, 1], [v = 2^(1/2), u = 1, x < -2,
y < x, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3,
-3], [-4, -4], [0, 0]]]], [[10, 13, 7, 2, 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, 2, 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, 2, 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, 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 = -2
*u^2+2*v^2, z = z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [-2615197/1048576, -653799/262144], [-200527383/67108864, -100263691
/33554432], [0, 0]]]], [[11, 4, 5, 2, 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, 2, 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, 2, 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, 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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [
790805/1048576, 395403/524288], [-3, -3]]]], [[11, 9, 3, 8, 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-u
^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [790805/
1048576, 395403/524288], [-3321417/2097152, -415177/262144]]]], [[11, 9, 3, 8,
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-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], [-7357527
/4194304, -7357527/4194304], [790805/1048576, 395403/524288], [0, 0]]]], [[11,
9, 3, 8, 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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [regular_chain,
[[3, 3], [-22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/
4194304], [790805/1048576, 395403/524288], [415177/262144, 1660709/1048576]]]]
, [[11, 9, 3, 8, 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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-7357527/
4194304, -7357527/4194304], [790805/1048576, 395403/524288], [3, 3]]]], [[11,
10, 5, 7, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-1 < x,x < 0), And(0 < y,y
< x+3), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -\
2774271/1048576], [-1/2, -1/2], [5/4, 5/4], [-3, -3]]]], [[11, 10, 5, 7, 2], [
2^(1/2) < v, u = -(v^2-2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), z = -(
y-x)^(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, 7, 3]
, [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), And
(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [-1/2, -1/2], [5/4, 5/4], [0, 0]]]], [[11, 10, 5,
7, 4], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3)
, z = (y-x)^(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, 7, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-1 < x,x < 0), And(0 < y,y <
x+3), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [-1/2, -1/2], [5/4, 5/4], [3, 3]]]], [[11, 16, 2, 5, 1], [2^(1/2) <
v, u = v, x = -1, 0 < y, z < -(y+1)^(1/2)], [regular_chain, [[3, 3], [3, 3], [
-1, -1], [1, 1], [-3, -3]]]], [[11, 16, 2, 5, 2], [2^(1/2) < v, u = v, x = -1,
0 < y, z = -(y+1)^(1/2)], [regular_chain, [[3, 3], [3, 3], [-1, -1], [1, 1], [
-1482911/1048576, -741455/524288]]]], [[11, 16, 2, 5, 3], [2^(1/2) < v, u = v,
x = -1, 0 < y, And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[3, 3]
, [3, 3], [-1, -1], [1, 1], [0, 0]]]], [[11, 16, 2, 5, 4], [2^(1/2) < v, u = v
, x = -1, 0 < y, z = (y+1)^(1/2)], [regular_chain, [[3, 3], [3, 3], [-1, -1],
[1, 1], [741455/524288, 1482911/1048576]]]], [[11, 16, 2, 5, 5], [2^(1/2) < v,
u = v, x = -1, 0 < y, (y+1)^(1/2) < z], [regular_chain, [[3, 3], [3, 3], [-1,
-1], [1, 1], [3, 3]]]], [[11, 17, 10, 2, 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, 8, 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, 8, 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
, 8, 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, 8,
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, 8, 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, 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], [129511/262144, 
518045/1048576], [-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], [129511/262144, 518045/1048576], [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], [129511/262144, 518045/1048576], [1
, 1]]]], [[1, 8, 4, 2, 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, 2, 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, 2, 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, 9, 10
, 1, 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], [-1, -1], [0, 0]]]], [[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-u^2+v^2+1 < y, z < -(y-x)^(1/2)]
, [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-391287/
524288, -391287/524288], [2, 2], [-3, -3]]]], [[1, 15, 5, 9, 2], [v < -2^(1/2)
, And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), x-u^2+v^2+1 < y,
z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-391287/524288, -391287/524288], [2, 2], [-1737703/1048576, -\
3475405/2097152]]]], [[1, 15, 5, 9, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), And(-1 < x,x < -u^2+v^2-1), x-u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [
-391287/524288, -391287/524288], [2, 2], [-1/4194304, -1/4194304]]]], [[1, 15,
5, 9, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^
2-1), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-391287/524288, -391287/524288], [2, 2], [868851/
524288, 1737703/1048576]]]], [[1, 15, 5, 9, 5], [v < -2^(1/2), And((v^2-1)^(1/
2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), x-u^2+v^2+1 < y, (y-x)^(1/2) < z],
[regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-391287/524288
, -391287/524288], [2, 2], [3, 3]]]], [[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(x < y,y < x-u^2+v^2+1)
, z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072]
, [-2614535/2097152, -2614535/2097152], [-1041671/1048576, -1041671/1048576],
[-2, -2]]]], [[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(x < y,y < x-u^2+v^2+1), z = -(y-x)^(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, 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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2
) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-2614535/2097152, -2614535/2097152], [-1041671/1048576, -1041671/
1048576], [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(x < y,y < x-u^2+v^2+1), z = (y-x)^(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, 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(x < y,y < x-u^2+v^2+1), (y-x)^(
1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-\
2614535/2097152, -2614535/2097152], [-1041671/1048576, -1041671/1048576], [2,
2]]]], [[1, 21, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 8, 2, 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, 8, 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, 8, 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, 8, 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, 8,
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, 8, 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, 11, 9, 6, 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, 6
, 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, 6, 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, 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 < 0, z = z], [regular_chain, [[-1482911/1048576, -741455/524288
], [3913339/2097152, 3913339/2097152], [2, 2], [-1, -1], [0, 0]]]], [[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+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, 6, 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, 6, 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, 6, 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, 6, 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, 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-u^2+v^2+1 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1/2, 1/2], [3/2, 3/2], [-2, -2]]]], [[3, 5, 9, 7, 2], [And(
-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), And(x-u
^2+v^2+1 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [1/2, 1/2],
[3/2, 3/2], [-1, -1]]]], [[3, 5, 9, 7, 3], [And(-2^(1/2) < v,v < -1), And(-(v^
2+1)^(1/2) < u,u < v), And(0 < x,x < 1), And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1),
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [1/2, 1/2], [3/2, 3/2]
, [0, 0]]]], [[3, 5, 9, 7, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) <
u,u < v), And(0 < x,x < 1), And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = (y-x)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304
, -5818805/4194304], [1/2, 1/2], [3/2, 3/2], [1, 1]]]], [[3, 5, 9, 7, 5], [And
(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), And(x-
u^2+v^2+1 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [1/2, 1/2],
[3/2, 3/2], [2, 2]]]], [[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+2), z < -(y-x)^(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, 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+2), z =
-(y-x)^(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, 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+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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+2), z = (
y-x)^(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, 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+2), (y-x)^(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, 11, 2, 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, 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(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y <
0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,
z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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-1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [1/2, 1/2], [-2, -2], [0, 0]]]], [[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, z < u], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [248903/
1048576, 248903/1048576], [2843861/1048576, 1421931/524288], [-3, -3]]]], [[4,
3, 7, 8, 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], [2843861/1048576, 1421931/524288],
[-1649549/1048576, -3299097/2097152]]]], [[4, 3, 7, 8, 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], [2843861/1048576, 1421931/524288], [-1/4194304, -1/
4194304]]]], [[4, 3, 7, 8, 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], [2843861/1048576
, 1421931/524288], [412387/262144, 1649549/1048576]]]], [[4, 3, 7, 8, 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], [2843861/1048576, 1421931/524288], [3, 3]]]], [[4, 5
, 3, 4, 1], [v = -1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), y = x-u^2
+2, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-1288231/1048576, -1288231/1048576], [-359483/524288, -\
1437931/2097152], [-2, -2]]]], [[4, 5, 3, 4, 2], [v = -1, And(-2^(1/2) < u,u <
-1), And(-u^2 < x,x < -1), y = x-u^2+2, z = -(-u^2+2)^(1/2)], [regular_chain,
[[-1, -1], [-1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231/
1048576], [-359483/524288, -1437931/2097152], [-772605/1048576, -1545209/
2097152]]]], [[4, 5, 3, 4, 3], [v = -1, And(-2^(1/2) < u,u < -1), And(-u^2 < x
,x < -1), y = x-u^2+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], [-359483/524288, -1437931/2097152], [-1/4194304, -\
1/4194304]]]], [[4, 5, 3, 4, 4], [v = -1, And(-2^(1/2) < u,u < -1), And(-u^2 <
x,x < -1), y = x-u^2+2, z = (-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [-\
359483/524288, -1437931/2097152], [193151/262144, 772605/1048576]]]], [[4, 5,
3, 4, 5], [v = -1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), y = x-u^2+2
, (-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-1288231/1048576, -1288231/1048576], [-359483/524288, -1437931/
2097152], [2, 2]]]], [[4, 11, 6, 2, 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], [-1138531/2097152, -569265/
1048576], [-1, -1]]]], [[4, 11, 6, 2, 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], [-1138531/2097152, -569265/
1048576], [0, 0]]]], [[4, 11, 6, 2, 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], [-1138531/2097152, -569265/
1048576], [1, 1]]]], [[4, 13, 1, 7, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)),
x < -u^2, And(u^2+x < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1],
[3299097/2097152, 3299097/2097152], [-4, -4], [-799673/1048576, -799673/
1048576], [-3, -3]]]], [[4, 13, 1, 7, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)
), x < -u^2, And(u^2+x < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[-1, -1
], [3299097/2097152, 3299097/2097152], [-4, -4], [-799673/1048576, -799673/
1048576], [-3773343/2097152, -7546685/4194304]]]], [[4, 13, 1, 7, 3], [v = -1,
And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, And(u^2+x < y,y < 0), And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [-4, -4], [-799673/1048576, -799673/1048576], [-1/8388608, -1/
8388608]]]], [[4, 13, 1, 7, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^
2, And(u^2+x < y,y < 0), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [3299097
/2097152, 3299097/2097152], [-4, -4], [-799673/1048576, -799673/1048576], [
1886671/1048576, 117917/65536]]]], [[4, 13, 1, 7, 5], [v = -1, And(2^(1/2) < u
,u < 3^(1/2)), x < -u^2, And(u^2+x < y,y < 0), (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-4, -4], [-\
799673/1048576, -799673/1048576], [3, 3]]]], [[5, 1, 11, 5, 1], [And(-1 < v,v
< 0), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, And(x-u^2+v^2+1 < y,y < x), 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 < x-u^2+v^2+1, z = z], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[5, 12, 5,
1, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y < x-1, z =
z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1/2, -1/2], [-3, -3], [0, 0]]
]], [[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 = x, z < 0], [regular_chain, [[-1/2, -1/2], [3, 3], [35/8, 35/8],
[35/8, 35/8], [-1, -1]]]], [[5, 13, 9, 6, 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, 6, 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, 4, 1], [v = 0, And(-1 < u,u < 0), x < -u^2-1, y = x-u^2+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, 4, 2], [v = 0, And(-1 < u,u < 0), x < -u^2-1, y = x-u^2+
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, 4, 3], [v = 0, 
And(-1 < u,u < 0), x < -u^2-1, y = x-u^2+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, 4, 4], [v = 0, And(-1 < u,u < 0), x < -u^
2-1, y = x-u^2+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, 4, 5],
[v = 0, And(-1 < u,u < 0), x < -u^2-1, y = x-u^2+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, 5, 1, 1], [v = 0, u = 0, And(0 < x,x < 1), y < 0, z = z], [regular_chain, [
[0, 0], [0, 0], [1/2, 1/2], [-1, -1], [0, 0]]]], [[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 = x, z < 0], [
regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -43/8], [-43/8, -43/8], [-1, -1]
]]], [[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 = x, z = 0], [regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -43/8
], [-43/8, -43/8], [0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[1/2, 1/2
], [-3, -3], [-43/8, -43/8], [-43/8, -43/8], [1, 1]]]], [[7, 2, 5, 7, 1], [And
(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), z <
-(y-x)^(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, 7, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), 
And(-1 < x,x < 0), And(0 < y,y < x+3), z = -(y-x)^(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, 7, 3], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-1 <
x,x < 0), And(0 < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), 
And(0 < y,y < x+3), z = (y-x)^(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, 7, 5
], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3
), (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1/2, -1/2],
[5/4, 5/4], [3, 3]]]], [[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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [-3/4, -3/4], [-2, -2]]]], [
[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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 3, 3], [And(0 < v,v < 1), And(-v < u,u < v), And(u^2-v^2-1 < x,x <
-1), And(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [-3/4, -3/4], [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(x < y,y < u^2-v^2+x+1), z = (y-x)^(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, 3, 5], [And(0 < v,v < 1), And(-v < u,u < v), And(u^2-v^2-1 < x,x < -1), And
(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0]
, [-9/8, -9/8], [-3/4, -3/4], [2, 2]]]], [[7, 8, 7, 2, 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, 10, 4, 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], [562533/1048576, 281267/524288], [
0, 0]]]], [[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(x < y,y < 0), z < -(y-x)^(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(x < y,y
< 0), z = -(y-x)^(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(x < y,y
< 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z =
(y-x)^(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(x < y,y < 0), (y-x)^(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, 0 < y, z < -(y+2)
^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-2, -2]
, [1, 1], [-3, -3]]]], [[8, 4, 2, 5, 2], [v = 1, u = -2^(1/2), x = -2, 0 < y,
z = -(y+2)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288]
, [-2, -2], [1, 1], [-1816187/1048576, -3632373/2097152]]]], [[8, 4, 2, 5, 3],
[v = 1, u = -2^(1/2), x = -2, 0 < y, And(-(y+2)^(1/2) < z,z < (y+2)^(1/2))], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-2, -2], [1, 1],
[-1/4194304, -1/4194304]]]], [[8, 4, 2, 5, 4], [v = 1, u = -2^(1/2), x = -2, 0
< y, z = (y+2)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [-2, -2], [1, 1], [908093/524288, 1816187/1048576]]]], [[8, 4, 2, 5,
5], [v = 1, u = -2^(1/2), x = -2, 0 < y, (y+2)^(1/2) < z], [regular_chain, [[1
, 1], [-1482911/1048576, -741455/524288], [-2, -2], [1, 1], [3, 3]]]], [[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],
[569265/1048576, 284633/524288], [-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], [569265/1048576, 284633/
524288], [-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
], [569265/1048576, 284633/524288], [-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], [569265
/1048576, 284633/524288], [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], [569265/
1048576, 284633/524288], [2, 2]]]], [[8, 12, 1, 1, 1], [v = 1, u = 2^(1/2), x
< -2, y < x, z = z], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576]
, [-3, -3], [-4, -4], [0, 0]]]], [[8, 13, 7, 2, 1], [v = 1, And(2^(1/2) < u,u
< 3^(1/2)), And(0 < x,x < u^2-2), y = x-u^2+2, z = z], [regular_chain, [[1, 1]
, [3299097/2097152, 3299097/2097152], [497805/2097152, 497805/2097152], [-\
31113/131072, -248903/1048576], [0, 0]]]], [[9, 2, 5, 9, 1], [And(1 < v,v < 2^
(1/2)), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), x+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1/2, -1/2], [4, 4], [-4, -4]]]], [[9, 2, 5, 9, 2], [And(1
< v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), x+3 < y, z = -(y-x)^(
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, 9, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-1 < x,x
< 0), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1/2
, -1/2], [4, 4], [0, 0]]]], [[9, 2, 5, 9, 4], [And(1 < v,v < 2^(1/2)), u = -(v
^2+2)^(1/2), And(-1 < x,x < 0), x+3 < y, z = (y-x)^(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, 9, 5], [And(
1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), x+3 < y, (y-x)^(1/2
) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152
, -7798593/4194304], [-1/2, -1/2], [4, 4], [4, 4]]]], [[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(0 <
y,y < -u^2+v^2+2), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-14373233/8388608, -14373233/8388608], [1, 1], [273305/1048576, 273305/
1048576], [0, 0]]]], [[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), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [-2587387/2097152, -2587387/2097152], [2, 2], [-3, -3]]]], [
[9, 13, 3, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z <
(y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-2587387/2097152, -2587387/2097152], [2, 2], [0, 0
]]]], [[9, 13, 3, 9, 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), u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701
/1048576], [-2587387/2097152, -2587387/2097152], [2, 2], [3, 3]]]], [[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, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-3, -3], [1, 1], [9, 9], [-4, -4]]]], [[10, 1, 8, 8, 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, 8, 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, 8
, 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, 8, 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, 9, 1], [v = 2^(1/2), And(-2 < u,u <
-3^(1/2)), x < -u^2+1, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-4, -4], [1,
1], [-4, -4]]]], [[10, 3, 1, 9, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x
< -u^2+1, 0 < y, z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3913339/2097152, -3913339/2097152], [-4, -4], [1, 1], [-146543/
65536, -2344687/1048576]]]], [[10, 3, 1, 9, 3], [v = 2^(1/2), And(-2 < u,u < -
3^(1/2)), x < -u^2+1, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-4, -4], [1, 1], [0, 0]]]], [[10, 3, 1, 9, 4], [v = 2^(1/2), And(-2
< u,u < -3^(1/2)), x < -u^2+1, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-4, -4
], [1, 1], [2344687/1048576, 146543/65536]]]], [[10, 3, 1, 9, 5], [v = 2^(1/2)
, And(-2 < u,u < -3^(1/2)), x < -u^2+1, 0 < y, (y-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-4, -4], [1, 1], [4, 4]]]], [[10, 9, 4, 1, 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], [-3, -3], [0, 0]]]], [[10, 10, 5, 9,
1], [v = 2^(1/2), u = 0, And(-1 < x,x < 0), x+3 < y, z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-1/2, -1/2], [4, 4]
, [-4, -4]]]], [[10, 10, 5, 9, 2], [v = 2^(1/2), u = 0, And(-1 < x,x < 0), x+3
< y, z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0,
0], [-1/2, -1/2], [4, 4], [-1112183/524288, -2224365/1048576]]]], [[10, 10, 5,
9, 3], [v = 2^(1/2), u = 0, And(-1 < x,x < 0), x+3 < y, And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-\
1/2, -1/2], [4, 4], [0, 0]]]], [[10, 10, 5, 9, 4], [v = 2^(1/2), u = 0, And(-1
< x,x < 0), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [-1/2, -1/2], [4, 4], [2224365/1048576, 1112183/
524288]]]], [[10, 10, 5, 9, 5], [v = 2^(1/2), u = 0, And(-1 < x,x < 0), x+3 <
y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0]
, [-1/2, -1/2], [4, 4], [4, 4]]]], [[10, 15, 3, 7, 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-1), z < -(y-x)^(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, 7, 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-1), z = -(y-x)^(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, 7, 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-1), 
And(-(y-x)^(1/2) < z,z < (y-x)^(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, 7,
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-1), z = (y-x)^(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, 7, 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-1), (y-x)^(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, 7, 2, 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, 7, 1, 1], [v = 2^(1/2), 2 < u, And(0 < x,x < 1),
y < x-u^2+3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3]
, [1/2, 1/2], [-7, -7], [0, 0]]]], [[11, 1, 8, 9, 1], [2^(1/2) < v, u < -(v^2+
2)^(1/2), x = 1, u^2-v^2+2 < y, z < -(y-1)^(1/2)], [regular_chain, [[3, 3], [-\
5, -5], [1, 1], [19, 19], [-6, -6]]]], [[11, 1, 8, 9, 2], [2^(1/2) < v, u < -(
v^2+2)^(1/2), x = 1, u^2-v^2+2 < y, z = -(y-1)^(1/2)], [regular_chain, [[3, 3]
, [-5, -5], [1, 1], [19, 19], [-1112183/262144, -4448731/1048576]]]], [[11, 1,
8, 9, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 1, u^2-v^2+2 < y, 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, 9, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 1, u^2-
v^2+2 < y, z = (y-1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [1, 1], [19, 
19], [4448731/1048576, 1112183/262144]]]], [[11, 1, 8, 9, 5], [2^(1/2) < v, u
< -(v^2+2)^(1/2), x = 1, u^2-v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[3,
3], [-5, -5], [1, 1], [19, 19], [6, 6]]]], [[11, 6, 1, 2, 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, 2, 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, 2, 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, 7, 9, 1, 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], [-1,
-1], [0, 0]]]], [[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 = z], [regular_chain, [[3,
3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [-1057325/1048576, -264331
/262144], [0, 0]]]], [[11, 14, 9, 1, 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], [-1, -1], [0, 0]]]], [[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 < x-u^2+v^2+1, z = z], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511/524288, 
129511/524288], [-2, -2], [0, 0]]]], [[11, 20, 9, 2, 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, 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 < x, z = z], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-2614535/2097152,
-2614535/2097152], [-3, -3], [0, 0]]]], [[1, 6, 6, 7, 1], [v < -2^(1/2), u = v
, x = 1, 2 < y, z < -(y-1)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [1, 1]
, [3, 3], [-3, -3]]]], [[1, 6, 6, 7, 2], [v < -2^(1/2), u = v, x = 1, 2 < y, z
= -(y-1)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [1, 1], [3, 3], [-\
1482911/1048576, -741455/524288]]]], [[1, 6, 6, 7, 3], [v < -2^(1/2), u = v, x
= 1, 2 < y, 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, 7, 4], [v < -2^(1/2), u = v, x
= 1, 2 < y, z = (y-1)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [1, 1], [3,
3], [741455/524288, 1482911/1048576]]]], [[1, 6, 6, 7, 5], [v < -2^(1/2), u =
v, x = 1, 2 < y, (y-1)^(1/2) < z], [regular_chain, [[-3, -3], [-3, -3], [1, 1]
, [3, 3], [3, 3]]]], [[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 < 0), z < -(y-u^2+v^2+1
)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-10, -10], [-5, -5], [-4, -4]]]]
, [[1, 11, 2, 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^2-1 < y,y < 0), z = -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [0, 0], [-10, -10], [-5, -5], [-146543/65536, -\
2344687/1048576]]]], [[1, 11, 2, 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^2-1 < y,y < 0), And(-(y-u^2+v^2+1
)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [0, 0], [-10
, -10], [-5, -5], [0, 0]]]], [[1, 11, 2, 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^2-1 < y,y < 0), z = (y-u^
2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-10, -10], [-5, -5], [
2344687/1048576, 146543/65536]]]], [[1, 11, 2, 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^2-1 < y,y < 0), (y-
u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [0, 0], [-10, -10], [-5, -5]
, [4, 4]]]], [[1, 12, 5, 1, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-1 < x,x
< 0), y < x-1, z = z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096
], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[1, 18, 5, 6, 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, 6, 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, 6,
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, 6, 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, 6, 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, 19, 11, 3, 1], [
v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, And(0 < y,y < x
-u^2+v^2+1), z = z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [2, 2], [1579107/2097152, 1579107/2097152], [0, 0]]]], [[2, 2, 9, 8,
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, 8, 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, 8, 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, 8, 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, 8, 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, 4, 1, 1], [v = -2^(1/2),
u = -3^(1/2), x = -1, y < -1, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1816187/1048576, -3632373/2097152], [-1, -1], [-2, -2], [0,
0]]]], [[2, 7, 7, 8, 1], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,x <
0), y = x-u^2+3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [-239655/1048576, -\
239655/1048576], [689093/524288, 1378187/1048576], [-3, -3]]]], [[2, 7, 7, 8,
2], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,x < 0), y = x-u^2+3, z =
-(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-239655/1048576, -239655/1048576], [
689093/524288, 1378187/1048576], [-1302471/1048576, -651235/524288]]]], [[2, 7
, 7, 8, 3], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,x < 0), y = x-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], [-239655/
1048576, -239655/1048576], [689093/524288, 1378187/1048576], [0, 0]]]], [[2, 7
, 7, 8, 4], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,x < 0), y = x-u^2
+3, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1265743/1048576, -1265743/1048576], [-239655/1048576, -239655/1048576], [
689093/524288, 1378187/1048576], [651235/524288, 1302471/1048576]]]], [[2, 7,
7, 8, 5], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,x < 0), y = x-u^2+3
, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-239655/1048576, -239655/1048576], [
689093/524288, 1378187/1048576], [3, 3]]]], [[2, 9, 3, 4, 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, 4, 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, 4, 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, 5, 7, 1], [v = -2^(1/2), And(1 < u,u <
-v), And(-1 < x,x < -u^2+1), And(0 < y,y < x-u^2+3), z < -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-1527887/2097152, -1527887/2097152], [853897/2097152, 853897/
2097152], [-3, -3]]]], [[2, 13, 5, 7, 2], [v = -2^(1/2), And(1 < u,u < -v), 
And(-1 < x,x < -u^2+1), And(0 < y,y < x-u^2+3), z = -(y-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-1527887/2097152, -1527887/2097152], [853897/2097152, 853897/
2097152], [-1117471/1048576, -558735/524288]]]], [[2, 13, 5, 7, 3], [v = -2^(1
/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), And(0 < y,y < x-u^2+3), And(-(
y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/
2097152], [853897/2097152, 853897/2097152], [0, 0]]]], [[2, 13, 5, 7, 4], [v =
-2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), And(0 < y,y < x-u^2+3), z
= (y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [853897/
2097152, 853897/2097152], [558735/524288, 1117471/1048576]]]], [[2, 13, 5, 7,
5], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), And(0 < y,y < x-
u^2+3), (y-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [
853897/2097152, 853897/2097152], [3, 3]]]], [[2, 15, 3, 1, 1], [v = -2^(1/2),
And(-v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y < x, z = z], [regular_chain
, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-\
2594957/2097152, -2594957/2097152], [-3, -3], [0, 0]]]], [[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 < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-3, -3], [1/2, 1/2], [11, 11], [-5, -5]]]], [[3, 1, 7, 9, 2], [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 = -(y-x)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [1/2,
1/2], [11, 11], [-3397775/1048576, -1698887/524288]]]], [[3, 1, 7, 9, 3], [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,
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [1/2, 1/2], [11, 11], [0, 0]]]], [[3, 1, 7, 9, 4],
[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 = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3, -3], [1/2, 1/2], [11, 11], [1698887/524288, 3397775/1048576]]]], [[3, 1, 7,
9, 5], [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, (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [1/2, 1/2], [11, 11], [5, 5]]]], [[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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4, -4],
[-11578981/4194304, -11578981/4194304], [-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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4, -4],
[-11578981/4194304, -11578981/4194304], [-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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-4, -4], [-11578981/4194304, -11578981/
4194304], [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(x < y,y < u^2-v^2+x+1), z
= (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-4, -4], [-11578981/4194304, -11578981/
4194304], [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(x
< y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4, -4], [-11578981
/4194304, -11578981/4194304], [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 = 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], [225185/1048576, 112593/524288], [-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 = 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], [225185/1048576, 112593/524288], [-1374407/2097152,
-687203/1048576]]]], [[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 = u^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], [225185/1048576, 112593/524288], [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 = 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], [225185/1048576, 112593/524288], [687203/1048576, 
171801/262144]]]], [[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 = 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], [225185/1048576, 
112593/524288], [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 = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-\
1812519/1048576, -1812519/1048576], [-1145915/524288, -2291829/1048576], [0, 0
]]]], [[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 < 2*u^2-2*v^2), z < -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [6860721/1048576
, 3430361/524288], [5669829/524288, 5669829/524288], [-4, -4]]]], [[3, 17, 10,
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^
2-1 < y,y < 2*u^2-2*v^2), z = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [6860721/1048576, 3430361/524288],
[5669829/524288, 5669829/524288], [-2167143/1048576, -1083571/524288]]]], [[3,
17, 10, 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^2-1 < y,y < 2*u^2-2*v^2), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^
2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [
6860721/1048576, 3430361/524288], [5669829/524288, 5669829/524288], [0, 0]]]],
[[3, 17, 10, 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^2-1 < y,y < 2*u^2-2*v^2), z = (y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [6860721/1048576
, 3430361/524288], [5669829/524288, 5669829/524288], [1083571/524288, 2167143/
1048576]]]], [[3, 17, 10, 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^2-1 < y,y < 2*u^2-2*v^2), (y-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [6860721/1048576
, 3430361/524288], [5669829/524288, 5669829/524288], [4, 4]]]], [[4, 2, 2, 1,
1], [v = -1, u = -3^(1/2), x = -3, y < -4, z = z], [regular_chain, [[-1, -1],
[-1816187/1048576, -3632373/2097152], [-3, -3], [-5, -5], [0, 0]]]], [[4, 6, 6
, 2, 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, 2, 2, 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, 2, 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, 2, 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, 3, 4, 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, 4, 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, 4, 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, 9, 1], [v
= -1, 3^(1/2) < u, And(0 < x,x < 1), u^2+x < y, z < -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [3, 3], [1/2, 1/2], [11, 11], [-5, -5]]]], [[4, 15,
7, 9, 2], [v = -1, 3^(1/2) < u, And(0 < x,x < 1), u^2+x < y, z = -(y-x)^(1/2)]
, [regular_chain, [[-1, -1], [3, 3], [1/2, 1/2], [11, 11], [-3397775/1048576,
-1698887/524288]]]], [[4, 15, 7, 9, 3], [v = -1, 3^(1/2) < u, And(0 < x,x < 1)
, u^2+x < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1]
, [3, 3], [1/2, 1/2], [11, 11], [0, 0]]]], [[4, 15, 7, 9, 4], [v = -1, 3^(1/2)
< u, And(0 < x,x < 1), u^2+x < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1],
[3, 3], [1/2, 1/2], [11, 11], [1698887/524288, 3397775/1048576]]]], [[4, 15, 7
, 9, 5], [v = -1, 3^(1/2) < u, And(0 < x,x < 1), u^2+x < y, (y-x)^(1/2) < z],
[regular_chain, [[-1, -1], [3, 3], [1/2, 1/2], [11, 11], [5, 5]]]], [[5, 4, 8,
3, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = 1, And(0 < y,y < 1), z = z]
, [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [1, 1], [
1/2, 1/2], [0, 0]]]], [[5, 6, 2, 3, 1], [And(-1 < v,v < 0), u = v, x = -1, And
(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), 
And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^
(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 < 0, z = z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [0, 0], [-1, -1], [0, 0]]]], [[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 = 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, 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 = 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, 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 = 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, 6, 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, 6, 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, 2
, 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, 6, 7
, 1], [v = 0, And(-2^(1/2) < u,u < -1), x = 0, u^2+1 < y, z < -y^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [0, 0], [4, 4],
[-3, -3]]]], [[6, 3, 6, 7, 2], [v = 0, And(-2^(1/2) < u,u < -1), x = 0, u^2+1
< y, z = -y^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [0, 0], [4, 4], [-2, -2]]]], [[6, 3, 6, 7, 3], [v = 0, And(-2^(1/2)
< u,u < -1), x = 0, u^2+1 < y, 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, 7, 4], [v = 0, And(-2^(1/2) < u,u < -1), x = 0, u^2+1 < y, z = y^(1/2)],
[regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [0, 0], [4, 4],
[2, 2]]]], [[6, 3, 6, 7, 5], [v = 0, And(-2^(1/2) < u,u < -1), x = 0, u^2+1 <
y, y^(1/2) < z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576]
, [0, 0], [4, 4], [3, 3]]]], [[6, 9, 8, 2, 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, 1, 7, 1
], [v = 0, 2^(1/2) < u, x < -u^2-1, And(u^2+x+1 < y,y < 0), z < -(y-x)^(1/2)],
[regular_chain, [[0, 0], [3, 3], [-11, -11], [-1/2, -1/2], [-5, -5]]]], [[6, 
11, 1, 7, 2], [v = 0, 2^(1/2) < u, x < -u^2-1, And(u^2+x+1 < y,y < 0), z = -(y
-x)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-11, -11], [-1/2, -1/2], [-\
3397775/1048576, -1698887/524288]]]], [[6, 11, 1, 7, 3], [v = 0, 2^(1/2) < u,
x < -u^2-1, And(u^2+x+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[0, 0], [3, 3], [-11, -11], [-1/2, -1/2], [0, 0]]]], [[6, 11,
1, 7, 4], [v = 0, 2^(1/2) < u, x < -u^2-1, And(u^2+x+1 < y,y < 0), z = (y-x)^(
1/2)], [regular_chain, [[0, 0], [3, 3], [-11, -11], [-1/2, -1/2], [1698887/
524288, 3397775/1048576]]]], [[6, 11, 1, 7, 5], [v = 0, 2^(1/2) < u, x < -u^2-\
1, And(u^2+x+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[0, 0], [3, 3],
[-11, -11], [-1/2, -1/2], [5, 5]]]], [[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-u^2+v^2+1 < y,y < x), 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 < x, z = z], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1248837/
4194304, -1248837/4194304], [-2, -2], [0, 0]]]], [[8, 1, 5, 4, 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, 4, 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, 4, 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, 7, 5, 1], [v = 1, u = -3^(1/2), And(0 < x,x < 1
), And(0 < y,y < x), 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 < x, z = z], [regular_chain, [[1, 1
], [-1/2, -1/2], [-5/8, -5/8], [-2, -2], [0, 0]]]], [[8, 8, 8, 7, 1], [v = 1,
u = 0, x = 1, 3 < y, z < -(y-1)^(1/2)], [regular_chain, [[1, 1], [0, 0], [1, 1
], [4, 4], [-3, -3]]]], [[8, 8, 8, 7, 2], [v = 1, u = 0, x = 1, 3 < y, z = -(y
-1)^(1/2)], [regular_chain, [[1, 1], [0, 0], [1, 1], [4, 4], [-1816187/1048576
, -3632373/2097152]]]], [[8, 8, 8, 7, 3], [v = 1, u = 0, x = 1, 3 < y, 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, 7, 4], [v = 1, u = 0, x = 1, 3 < y
, z = (y-1)^(1/2)], [regular_chain, [[1, 1], [0, 0], [1, 1], [4, 4], [908093/
524288, 1816187/1048576]]]], [[8, 8, 8, 7, 5], [v = 1, u = 0, x = 1, 3 < y, (y
-1)^(1/2) < z], [regular_chain, [[1, 1], [0, 0], [1, 1], [4, 4], [3, 3]]]], [[
8, 14, 9, 3, 1], [v = 1, u = 3^(1/2), 1 < x, And(0 < y,y < x-1), z = z], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [2, 2], [1/2, 1/2],
[0, 0]]]], [[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 = -2*u^2+2*v^2, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [-4478937/524288, -8957873/1048576], [-15818595/
1048576, -7909297/524288], [0, 0]]]], [[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 = x, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [-3213831/4194304, -\
3213831/4194304], [-1, -1]]]], [[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 = x, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [-3213831/4194304, -\
3213831/4194304], [0, 0]]]], [[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 = x, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [-3213831/4194304, -\
3213831/4194304], [1, 1]]]], [[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 = 0, z < -(-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3, -3], [0, 0], [-3, -3]]]], [[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 = 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, 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 = 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, 8, 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, 8, 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, 1, 2, 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, 2, 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, 2, 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, 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(x < y,y < 0), z < -(y-x)^(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, 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(x < y,y < 0), z = -(y-x)^(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, 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(x < y,y < 0), And(-(y-x)^(1/
2) < z,z < (y-x)^(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, 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(x < y,y < 0)
, z = (y-x)^(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, 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(x < y,y < 0), (y-x)^(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, 6, 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, 6, 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, 6, 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, 6, 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, 6
, 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, 7, 1], [And(1 < v,v < 2^(1/
2)), (v^2+2)^(1/2) < u, x = 0, u^2-v^2+1 < y, z < -y^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [3, 3], [0, 0], [10, 10], [-5, -5]]]], [[9
, 17, 6, 7, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 0, u^2-v^2+1 <
y, z = -y^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3],
[0, 0], [10, 10], [-3315889/1048576, -207243/65536]]]], [[9, 17, 6, 7, 3], [
And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 0, u^2-v^2+1 < y, 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, 7, 4], [And(1 < v,v < 2^(1/2)), (v^
2+2)^(1/2) < u, x = 0, u^2-v^2+1 < y, z = y^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [0, 0], [10, 10], [207243/65536, 3315889/
1048576]]]], [[9, 17, 6, 7, 5], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x
= 0, u^2-v^2+1 < y, y^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [0, 0], [10, 10], [5, 5]]]], [[10, 6, 1, 3, 1], [v = 2^(1/2)
, u = -v, x < -1, And(x < y,y < x+1), z < -(y-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [-2, -2],
[-3/2, -3/2], [-2, -2]]]], [[10, 6, 1, 3, 2], [v = 2^(1/2), u = -v, x < -1, 
And(x < y,y < x+1), z = -(y-x)^(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, 3, 3], [v = 2^(1/2), u = -
v, x < -1, And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [-2, -2], [-3/2, -3/2], [0, 0]]]], [[10, 6, 1, 3, 4], [v = 2^(1/2), u
= -v, x < -1, And(x < y,y < x+1), z = (y-x)^(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, 3, 5], [v = 2^(1/2), u =
-v, x < -1, And(x < y,y < x+1), (y-x)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [-2, -2], [-3/2,
-3/2], [2, 2]]]], [[10, 7, 9, 2, 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, 
11, 9, 1], [v = 2^(1/2), And(0 < u,u < 1), 1 < x, x-u^2+3 < y, z < -(y-x)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [2, 2], [6,
6], [-3, -3]]]], [[10, 11, 11, 9, 2], [v = 2^(1/2), And(0 < u,u < 1), 1 < x, x
-u^2+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [2, 2], [6, 6], [-2, -2]]]], [[10, 11, 11, 9, 3], [v = 2
^(1/2), And(0 < u,u < 1), 1 < x, x-u^2+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(
1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [2, 2],
[6, 6], [0, 0]]]], [[10, 11, 11, 9, 4], [v = 2^(1/2), And(0 < u,u < 1), 1 < x,
x-u^2+3 < y, z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [2, 2], [6, 6], [2, 2]]]], [[10, 11, 11, 9, 5], [v = 2^(
1/2), And(0 < u,u < 1), 1 < x, x-u^2+3 < y, (y-x)^(1/2) < z], [regular_chain,
[[741455/524288, 1482911/1048576], [1/2, 1/2], [2, 2], [6, 6], [3, 3]]]], [[10
, 13, 7, 1, 1], [v = 2^(1/2), And(1 < u,u < v), And(-u^2+1 < x,x < 0), y < x,
z = z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [-239655/1048576, -239655/1048576], [-2, -2], [0, 0]]]], [[
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 < -2*u^2+2*v^2, z = z], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [-2615197/1048576, -653799/262144], [-4, -4], [0,
0]]]], [[11, 4, 5, 1, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-1 < x,x < 0),
y < x, z = z], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-1
/2, -1/2], [-2, -2], [0, 0]]]], [[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), x-u^2+v^2+1 < y, z <
-(y-x)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608]
, [-7357527/4194304, -7357527/4194304], [2, 2], [-3, -3]]]], [[11, 9, 3, 9, 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), x-u^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [2
, 2], [-32507003/16777216, -16253501/8388608]]]], [[11, 9, 3, 9, 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), x-
u^2+v^2+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3]
, [-22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304]
, [2, 2], [-5/16777216, -5/16777216]]]], [[11, 9, 3, 9, 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), x-u^2+v^2+1
< y, z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [-7357527/4194304, -7357527/4194304], [2, 2], [2031687/1048576, 
253961/131072]]]], [[11, 9, 3, 9, 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), x-u^2+v^2+1 < y, (y-x)^(1/2) < z],
[regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-7357527/
4194304, -7357527/4194304], [2, 2], [3, 3]]]], [[11, 10, 5, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 1, 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], [-1,
-1], [0, 0]]]], [[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 = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -\
3], [-403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [0
, 0], [-3, -3]]]], [[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 = 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, 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 = 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, 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 = 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, 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 = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3],
[-403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [0, 0]
, [3, 3]]]], [[1, 6, 7, 1, 1], [v < -2^(1/2), u = v, 1 < x, y < 0, z = z], [
regular_chain, [[-3, -3], [-3, -3], [2, 2], [-1, -1], [0, 0]]]], [[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(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)
^(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 = x, z < 0], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096],
[-1/2, -1/2], [-1/2, -1/2], [-1, -1]]]], [[1, 12, 5, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 4, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2
)^(1/2)), 1 < x, y = x-u^2+v^2+1, z = z], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [2, 2], [1579107/1048576, 394777/262144], [0, 0]]]]
, [[2, 3, 1, 6, 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], [-1591685/1048576, -\
3183369/2097152], [-3, -3]]]], [[2, 3, 1, 6, 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], [-1591685/1048576, -3183369/2097152], [-825991/524288, -3303963/2097152]]]
], [[2, 3, 1, 6, 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], [-1591685/1048576, -3183369/2097152], [-1/4194304, -1/4194304]]]], [[2, 3,
1, 6, 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], [-1591685/1048576, -3183369/
2097152], [1651981/1048576, 825991/524288]]]], [[2, 3, 1, 6, 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], [-1591685/1048576, -3183369/2097152], [3, 3]]]], [
[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(0 < y,y < u^2+x-1), z < -(y-x
)^(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(0 < y,y < u^2+x-1), z = -(y-x)^(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(0 < y,y < u^2+x-1), And(-(y-
x)^(1/2) < z,z < (y-x)^(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(0 < y,y < u^2+x-1), z
= (y-x)^(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(0 < y,y < u^2+x
-1), (y-x)^(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 = 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, 6, 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, 6, 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, 6, 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, 6, 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, 3, 1], [v =
-2^(1/2), And(-v < u,u < 3^(1/2)), x = -u^2+1, And(-u^2+1 < 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], [-\
10167969/8388608, -10167969/8388608], [-2, -2]]]], [[2, 15, 2, 3, 2], [v = -2^
(1/2), And(-v < u,u < 3^(1/2)), x = -u^2+1, And(-u^2+1 < 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], [-\
10167969/8388608, -10167969/8388608], [-1074733/2097152, -268683/524288]]]], [
[2, 15, 2, 3, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -u^2+1, And(-u^2
+1 < 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], [-10167969/8388608, -10167969/
8388608], [0, 0]]]], [[2, 15, 2, 3, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2))
, x = -u^2+1, And(-u^2+1 < 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], [-10167969/8388608, -10167969/
8388608], [268683/524288, 537367/1048576]]]], [[2, 15, 2, 3, 5], [v = -2^(1/2)
, And(-v < u,u < 3^(1/2)), x = -u^2+1, And(-u^2+1 < 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], [-10167969/
8388608, -10167969/8388608], [2, 2]]]], [[3, 1, 7, 6, 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, 6, 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, 6, 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, 7, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)
^(1/2), 1 < x, And(x < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [2,
2], [7/2, 7/2], [-3, -3]]]], [[3, 2, 9, 7, 2], [And(-2^(1/2) < v,v < -1), u =
-(v^2+2)^(1/2), 1 < x, And(x < y,y < x+3), z = -(y-x)^(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, 7, 3], [
And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), 1 < x, And(x < y,y < x+3), And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3899297/2097152, -7798593/4194304], [2, 2], [7/2, 7/2], [0
, 0]]]], [[3, 2, 9, 7, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), 1 <
x, And(x < y,y < x+3), z = (y-x)^(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, 7, 5], [And(-2^(1/2) < v,v < -1
), u = -(v^2+2)^(1/2), 1 < x, And(x < y,y < x+3), (y-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [2, 2], [7/2, 7/2], [3, 3]]]], [[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(
0 < y,y < u^2-v^2+x+1), z < -(y-x)^(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(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(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(0 < y,y < u^2-v^
2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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(0 < y,y < u^2-v^2+x+1), z = (y-x)^(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(0 < y,y < u^2-v^2+x+1), (y-x)^(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], [-2576463/
1048576, -1288231/524288], [-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], [-2576463/1048576, -1288231/524288], [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
], [-2576463/1048576, -1288231/524288], [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-u^2+v^2+1 < y,y <
x), 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, 2 < y, z < -(y-1)^(1/2)], [regular_chain,
[[-1, -1], [-1, -1], [1, 1], [3, 3], [-3, -3]]]], [[4, 6, 6, 7, 2], [v = -1, u
= -1, x = 1, 2 < y, z = -(y-1)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [1
, 1], [3, 3], [-1482911/1048576, -741455/524288]]]], [[4, 6, 6, 7, 3], [v = -1
, u = -1, x = 1, 2 < y, 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, 7, 4], [v = -1, u
= -1, x = 1, 2 < y, z = (y-1)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [1,
1], [3, 3], [741455/524288, 1482911/1048576]]]], [[4, 6, 6, 7, 5], [v = -1, u
= -1, x = 1, 2 < y, (y-1)^(1/2) < z], [regular_chain, [[-1, -1], [-1, -1], [1,
1], [3, 3], [3, 3]]]], [[4, 8, 2, 3, 1], [v = -1, u = 0, x = -2, And(-2 < y,y
< 0), z < -(y+2)^(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(-2 < y,y < 0), z
= -(y+2)^(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(-2 < y,y < 0), And(-(y+2)
^(1/2) < z,z < (y+2)^(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(-2 < y,y < 0),
z = (y+2)^(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(-2 < y,y < 0), (y+2)^(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 = z], [regular_chain, [[
-1, -1], [908093/524288, 1816187/1048576], [-1, -1], [-2, -2], [0, 0]]]], [[4,
15, 8, 3, 1], [v = -1, 3^(1/2) < u, x = 1, And(-u^2+3 < y,y < 0), z = z], [
regular_chain, [[-1, -1], [3, 3], [1, 1], [-3, -3], [0, 0]]]], [[5, 4, 9, 1, 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], [-1,
-1], [0, 0]]]], [[5, 6, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 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), u^2-v^2+x+1 < y,
z < -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [-1248837/4194304, -1248837/4194304], [3, 3], [-3, -3]]]], [[5, 9, 7
, 9, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,
x < 0), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 3], [And(-1 < v,v < 0)
, And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), u^2-v^2+x+1 < y, 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/4194304], [3, 3
], [0, 0]]]], [[5, 9, 7, 9, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/
2)), And(u^2-v^2-1 < x,x < 0), u^2-v^2+x+1 < y, z = (y-x)^(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, 9, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1
< x,x < 0), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2],
[1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/4194304], [3,
3], [3, 3]]]], [[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 < x-u^2+v^2+1, z = z], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1815885/
1048576, -1815885/1048576], [-4, -4], [0, 0]]]], [[6, 2, 1, 8, 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, 8, 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, 8
, 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, 8, 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, 8, 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, 9, 1], [v = 0, And(-2^(1/2) < u,u < -1),
And(-1 < x,x < 0), u^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [-1/2, -1/2], [3, 3], [-3, -3]]]], [[6, 3,
5, 9, 2], [v = 0, And(-2^(1/2) < u,u < -1), And(-1 < x,x < 0), u^2+x+1 < y, z
= -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576]
, [-1/2, -1/2], [3, 3], [-7846825/4194304, -980853/524288]]]], [[6, 3, 5, 9, 3
], [v = 0, And(-2^(1/2) < u,u < -1), And(-1 < x,x < 0), u^2+x+1 < y, And(-(y-x
)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [-1265743/1048576, -\
1265743/1048576], [-1/2, -1/2], [3, 3], [0, 0]]]], [[6, 3, 5, 9, 4], [v = 0, 
And(-2^(1/2) < u,u < -1), And(-1 < x,x < 0), u^2+x+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [3
, 3], [980853/524288, 1961707/1048576]]]], [[6, 3, 5, 9, 5], [v = 0, And(-2^(1
/2) < u,u < -1), And(-1 < x,x < 0), u^2+x+1 < y, (y-x)^(1/2) < z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [3
, 3], [3, 3]]]], [[6, 9, 8, 1, 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], [-1, -1], [0, 0]]]], [[6, 11, 1, 2, 1], [v = 0
, 2^(1/2) < u, x < -u^2-1, y = x-u^2+1, z = z], [regular_chain, [[0, 0], [3, 3
], [-11, -11], [-19, -19], [0, 0]]]], [[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 = 0, z = z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [2, 2], [0, 0],
[0, 0]]]], [[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 < u^2-v^2-1, z = z], [regular_chain, [[1/2, 1/2], [-1696631
/2097152, -1696631/2097152], [-624419/1048576, -1248837/2097152], [-2, -2], [0
, 0]]]], [[8, 1, 5, 5, 1], [v = 1, u < -3^(1/2), And(-1 < x,x < 0), And(x < y,
y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0),
z = (y-x)^(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(x < y,y < 0), (y-x)^(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 < 0, z = z], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152],
[1, 1], [-1, -1], [0, 0]]]], [[8, 7, 5, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 7, 1], [v = 1, u = 0, 1 < x, x+2 < y, z < -(y-x
)^(1/2)], [regular_chain, [[1, 1], [0, 0], [2, 2], [5, 5], [-3, -3]]]], [[8, 8
, 9, 7, 2], [v = 1, u = 0, 1 < x, x+2 < y, z = -(y-x)^(1/2)], [regular_chain,
[[1, 1], [0, 0], [2, 2], [5, 5], [-1816187/1048576, -3632373/2097152]]]], [[8,
8, 9, 7, 3], [v = 1, u = 0, 1 < x, x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/
2))], [regular_chain, [[1, 1], [0, 0], [2, 2], [5, 5], [-1/4194304, -1/4194304
]]]], [[8, 8, 9, 7, 4], [v = 1, u = 0, 1 < x, x+2 < y, z = (y-x)^(1/2)], [
regular_chain, [[1, 1], [0, 0], [2, 2], [5, 5], [908093/524288, 1816187/
1048576]]]], [[8, 8, 9, 7, 5], [v = 1, u = 0, 1 < x, x+2 < y, (y-x)^(1/2) < z]
, [regular_chain, [[1, 1], [0, 0], [2, 2], [5, 5], [3, 3]]]], [[8, 14, 9, 4, 1
], [v = 1, u = 3^(1/2), 1 < x, y = x-1, z = z], [regular_chain, [[1, 1], [
908093/524288, 1816187/1048576], [2, 2], [1, 1], [0, 0]]]], [[9, 1, 2, 7, 1],
[And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, 0 < y, 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, 7, 2],
[And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, 0 < y, 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, 7, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x =
-u^2+v^2-1, 0 < y, 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, 7, 4], [And(1 < v,v < 2^(1/
2)), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, 0 < y, 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, 7,
5], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, 0 < y, (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, 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(x-u^2+v^2+1 < y,y < 0), z < -(y-x)^(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(x-u^2+v^2+1 < y,y < 0), z = -(y-x)^(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(x-u^2+v^2+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x-u^2
+v^2+1 < y,y < 0), z = (y-x)^(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(x-u^2+v^2+1 < y,y < 0), (y-x)^(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 = 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, 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 = 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, 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
= 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, 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 = 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, 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 = 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, 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 = u^2-v^2+x+1, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [2, 2], [1617841/1048576, 808921/524288], [0, 0]]]],
[[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, -2*u^2+2*v^2 < y, 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, 7, 2], [And(1 < v,v
< 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, -2*u^2+2*v^2 < y, 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, 7, 3], [And(1 < v,v < 2^(1
/2)), And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, -2*u^2+2*v^2 < y, 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, 7, 4], [And
(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, -2*u^2+2*v^
2 < y, 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, 7, 5], [And(1 < v,v <
2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, -2*u^2+2*v^2 < y, (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, 16, 2, 1, 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], [-5, -5], [0, 0]]]], [[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 < -(u^2-v^2
+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [0, 0
], [8957873/1048576, 4478937/524288], [-4, -4]]]], [[9, 17, 6, 6, 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], [
8957873/1048576, 4478937/524288], [-1532401/524288, -24518415/8388608]]]], [[9
, 17, 6, 6, 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], [8957873/1048576, 4478937/
524288], [-7/16777216, -7/16777216]]]], [[9, 17, 6, 6, 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], [8957873/
1048576, 4478937/524288], [3064801/1048576, 1532401/524288]]]], [[9, 17, 6, 6,
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], [8957873/1048576, 4478937/524288], [4, 4]]]], [[10, 5, 11, 5, 1], [v =
2^(1/2), And(-3^(1/2) < u,u < -v), 1 < x, And(x < y,y < x-u^2+3), z < -(y-x)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [2, 2], [4745073/2097152, 4745073/2097152], [-2, -2]]]], [[
10, 5, 11, 5, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), 1 < x, And(x < y,y <
x-u^2+3), z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [-6598195/4194304, -6598195/4194304], [2, 2], [4745073/2097152, 4745073/
2097152], [-1074731/2097152, -537365/1048576]]]], [[10, 5, 11, 5, 3], [v = 2^(
1/2), And(-3^(1/2) < u,u < -v), 1 < x, And(x < y,y < x-u^2+3), And(-(y-x)^(1/2
) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [2, 2], [4745073/2097152, 4745073/2097152]
, [0, 0]]]], [[10, 5, 11, 5, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), 1 < x
, And(x < y,y < x-u^2+3), z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [2, 2], [4745073/
2097152, 4745073/2097152], [537365/1048576, 268683/524288]]]], [[10, 5, 11, 5,
5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), 1 < x, And(x < y,y < x-u^2+3), (y-
x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [2, 2], [4745073/2097152, 4745073/2097152], [2, 2]
]]], [[10, 7, 8, 6, 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], [1617841/1048576, 808921/524288],
[-3, -3]]]], [[10, 7, 8, 6, 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], [1617841/1048576, 808921/
524288], [-1302471/1048576, -651235/524288]]]], [[10, 7, 8, 6, 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], [1617841/1048576, 808921/524288], [0, 0]]]], [[10
, 7, 8, 6, 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], [1617841/1048576, 808921/524288], [651235/
524288, 1302471/1048576]]]], [[10, 7, 8, 6, 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], [1617841/
1048576, 808921/524288], [3, 3]]]], [[10, 11, 11, 4, 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, 7, 1], [v =
2^(1/2), And(1 < u,u < v), x = -u^2+1, -2*u^2+4 < y, 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,
7, 2], [v = 2^(1/2), And(1 < u,u < v), x = -u^2+1, -2*u^2+4 < y, 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, 7, 3], [v = 2^(1/2), And(1 < u,u < v), x
= -u^2+1, -2*u^2+4 < y, 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, 7, 4], [v = 2^(1/2), And(1 < u,u < v), x = -u^2+1, -2*u^2+4 <
y, 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, 7, 5], [v = 2^(1/2), And(1 <
u,u < v), x = -u^2+1, -2*u^2+4 < y, (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, 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], [-2615197/1048576, -653799/262144], [-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], [-2615197/1048576, -\
653799/262144], [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], [-2615197/1048576, -653799/262144], [1, 1]]]], [[11,
4, 6, 1, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = 0, y < 0, z = z], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [0, 0], [-1, -1], [
0, 0]]]], [[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 = z], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [-1, -1], [-3, -3], [0, 0]]]], [[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 = x, z < 0], [regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [-1/2, -1/2], [-\
1, -1]]]], [[11, 16, 3, 2, 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, 2, 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, 10, 8, 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], [2614535/1048576, 326817/131072], [-3, -3]]]], [[11, 17, 10,
8, 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], [2614535/1048576, 326817/131072], [-1281417/1048576, -160177/131072]]]]
, [[11, 17, 10, 8, 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], [2614535/1048576, 326817/
131072], [0, 0]]]], [[11, 17, 10, 8, 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], [2614535/1048576, 326817/131072], [
160177/131072, 1281417/1048576]]]], [[11, 17, 10, 8, 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], [2614535/
1048576, 326817/131072], [3, 3]]]], [[1, 2, 3, 5, 1], [v < -2^(1/2), u = -(v^2
+2)^(1/2), And(-3 < x,x < -1), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y <
0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0),
z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = x, z < 0], [regular_chain, [[-3,
-3], [-3396811/1048576, -3396811/1048576], [129511/524288, 129511/524288], [
129511/524288, 129511/524288], [-1, -1]]]], [[1, 3, 7, 6, 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,
6, 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, 8, 4, 1, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -\
1, y < -1, z = z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [-1, -1], [-2, -2], [0, 0]]]], [[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(u^2-v^2
+x+1 < y,y < x), 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 = 0, z < -(-x)^(1/2)], [regular_chain, [[
-3, -3], [6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288],
[0, 0], [-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 = 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, 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 = 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, 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 = 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, 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 = 0, (-x)^(1/2) < z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-391287/524288,
-391287/524288], [0, 0], [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(-u^2+v^2-1 < 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], [-166446435/134217728, -166446435
/134217728], [-2, -2]]]], [[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(-u^2+v^2-1 < 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], [-166446435/134217728, -166446435/134217728]
, [-1055459/2097152, -527729/1048576]]]], [[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(-u^2+v^2-1 < 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],
[-166446435/134217728, -166446435/134217728], [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(-u^2+v^2-1 < 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], [-166446435
/134217728, -166446435/134217728], [527729/1048576, 263865/524288]]]], [[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(
-u^2+v^2-1 < 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], [
-166446435/134217728, -166446435/134217728], [2, 2]]]], [[1, 21, 5, 5, 1], [v
< -2^(1/2), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)
^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-
x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = x, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [1/2, 1/2], [1/2
, 1/2], [-1, -1]]]], [[2, 1, 7, 6, 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, 6, 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, 4, 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, 4, 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, 4, 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, 9, 7, 1], [v = -2^(1/2), And(0
< u,u < 1), And(-u^2+1 < x,x < 1), And(x < y,y < x-u^2+3), z < -(y-x)^(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, 7, 2], [v = -2^(1/2), And(0 < u,u < 1), 
And(-u^2+1 < x,x < 1), And(x < y,y < x-u^2+3), z = -(y-x)^(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, 7, 3], [v = -2^(1
/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), And(x < y,y < x-u^2+3), And(-(y-
x)^(1/2) < z,z < (y-x)^(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, 7, 4], [v
= -2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), And(x < y,y < x-u^2+3), z
= (y-x)^(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, 7,
5], [v = -2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), And(x < y,y < x-u^
2+3), (y-x)^(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, 6, 4, 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, 4, 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,
4, 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, 4, 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, 4, 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, 4, 1
], [v = -2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, y = x-u^2+3, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [2, 2], [397921/262144, 1591685/1048576], [0, 0]]]], [[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 = 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], [515775/262144, 2063101/
1048576], [-3, -3]]]], [[3, 5, 9, 8, 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], [515775/262144, 2063101/1048576], [-1270261/
1048576, -317565/262144]]]], [[3, 5, 9, 8, 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], [515775/
262144, 2063101/1048576], [0, 0]]]], [[3, 5, 9, 8, 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], [515775/262144, 2063101/
1048576], [317565/262144, 1270261/1048576]]]], [[3, 5, 9, 8, 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], [515775/262144, 2063101/
1048576], [3, 3]]]], [[3, 10, 6, 5, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)
^(1/2), x = 0, 2 < y, z < -y^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [354469/524288, 708939/1048576], [0, 0], [3, 3], [-3, -3]]]]
, [[3, 10, 6, 5, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = 0, 2 <
y, 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, 5, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2),
x = 0, 2 < y, 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, 5, 4], [And(-2^(1/2) < v,v < -1), u =
(v^2-1)^(1/2), x = 0, 2 < y, 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, 5, 5], [And(-2^(1/2) < v,v < -1), u =
(v^2-1)^(1/2), x = 0, 2 < y, y^(1/2) < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [354469/524288, 708939/1048576], [0, 0], [3, 3], [3, 3]]]],
[[3, 11, 11, 5, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v),
1 < x, And(x < y,y < u^2-v^2+x+1), z < -(y-x)^(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(x < y,y < u^2-v^2+
x+1), z = -(y-x)^(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(x < y,y < u^2-v^2+x+1), And
(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2-v^2+x+1), z = (y-x)^(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(x < y,y < u^2-v^2+x+1), (y-x)^(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 = -1, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [-1, -1], [-1, -1], [-1, -1]]]], [[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 = -1, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [-1, -1], [-1, -1], [0, 0]]]], [[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 = -1, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [-1, -1], [-1, -1], [1, 1]]]], [[3, 16, 6, 3, 1
], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 0, And(-1 < y,y < 0), z =
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 
1949649/1048576], [0, 0], [-1/2, -1/2], [0, 0]]]], [[4, 3, 7, 5, 1], [v = -1,
And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), And(0 < y,y < x), 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], [-1917243/2097152, -7668971/8388608], [-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], [-1917243/2097152, -\
7668971/8388608], [-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], [-1917243/2097152, -7668971/
8388608], [-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
], [-1917243/2097152, -7668971/8388608], [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], [-1917243/2097152, -7668971/
8388608], [2, 2]]]], [[4, 11, 6, 1, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = u
^2-2, y < u^2-2, z = z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-1138531/2097152, -569265/1048576], [-2, -2], [0, 0]]]], [[4, 13, 1
, 2, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, y = x-u^2+2, z = z],
[regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-4, -4], [-\
2346055/524288, -4692109/1048576], [0, 0]]]], [[5, 1, 11, 2, 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, 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 <
-1), z = z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144],
[-1, -1], [-1291597/1048576, -1291597/1048576], [0, 0]]]], [[5, 12, 5, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 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
< -(y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [35/8, 35/8], [16, 16]
, [-5, -5]]]], [[5, 13, 9, 9, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[-1/2
, -1/2], [3, 3], [35/8, 35/8], [16, 16], [-27931/8192, -3575167/1048576]]]], [
[5, 13, 9, 9, 3], [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, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[-1/2, -1/2], [3, 3], [35/8, 35/8], [16, 16], [0, 0]]]], [[5, 13, 9, 9, 4], [
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 = (y-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [35/8, 35/8], [16,
16], [3575167/1048576, 27931/8192]]]], [[5, 13, 9, 9, 5], [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, (y-x)^(1/2) < z]
, [regular_chain, [[-1/2, -1/2], [3, 3], [35/8, 35/8], [16, 16], [5, 5]]]], [[
6, 5, 1, 9, 1], [v = 0, And(-1 < u,u < 0), x < -u^2-1, 0 < y, z < -(y-x)^(1/2)
], [regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [1, 1], [-3, -3]]]], [[6,
5, 1, 9, 2], [v = 0, And(-1 < u,u < 0), x < -u^2-1, 0 < y, z = -(y-x)^(1/2)],
[regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [1, 1], [-2, -2]]]], [[6, 5,
1, 9, 3], [v = 0, And(-1 < u,u < 0), x < -u^2-1, 0 < y, And(-(y-x)^(1/2) < z,z
< (y-x)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [1, 1], [0,
0]]]], [[6, 5, 1, 9, 4], [v = 0, And(-1 < u,u < 0), x < -u^2-1, 0 < y, z = (y-
x)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [1, 1], [2, 2]]]],
[[6, 5, 1, 9, 5], [v = 0, And(-1 < u,u < 0), x < -u^2-1, 0 < y, (y-x)^(1/2) <
z], [regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [1, 1], [3, 3]]]], [[6, 6
, 5, 2, 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, 4, 2, 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, 6, 1, 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], [-2, -2], [0, 0]]]], [[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-u^2+v^2+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, 8, 2], [And(0 < v,v < 1), And(-v < u,u < v), And(u^2
-v^2-1 < x,x < -1), y = x-u^2+v^2+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, 8, 3], [And(0 < v,v < 1), And(-v < u,u < v), And(u^2-v
^2-1 < x,x < -1), y = x-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], [-9/8, -9/8], [1/8, 1/8], [0,
0]]]], [[7, 7, 3, 8, 4], [And(0 < v,v < 1), And(-v < u,u < v), And(u^2-v^2-1 <
x,x < -1), y = x-u^2+v^2+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, 8, 5], [And(0 < v,v < 1), And(-v < u,u < v), And(u^2-v^2-1 < x,x < -1)
, y = x-u^2+v^2+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, 3, 1], [And(0 < v,v < 1), u
= v, 1 < x, And(0 < y,y < x), z = z], [regular_chain, [[1/2, 1/2], [1/2, 1/2],
[2, 2], [1, 1], [0, 0]]]], [[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 = x, z < 0], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [1534619/2097152,
1534619/2097152], [767309/1048576, 383655/524288], [-1, -1]]]], [[7, 11, 9, 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], [1534619/2097152, 1534619/2097152], [767309/1048576, 383655/524288],
[0, 0]]]], [[7, 11, 9, 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], [1534619/2097152, 1534619/2097152], [
767309/1048576, 383655/524288], [1, 1]]]], [[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 = x-u^2+v^2+1, z = z], [
regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8], [-105/8, -105/8], [0, 0]]]
], [[8, 4, 1, 7, 1], [v = 1, u = -2^(1/2), x < -2, 0 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-3, -3], [1, 1],
[-3, -3]]]], [[8, 4, 1, 7, 2], [v = 1, u = -2^(1/2), x < -2, 0 < y, z = -(y-x)
^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-3, -3]
, [1, 1], [-2, -2]]]], [[8, 4, 1, 7, 3], [v = 1, u = -2^(1/2), x < -2, 0 < y,
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [-3, -3], [1, 1], [0, 0]]]], [[8, 4, 1, 7, 4], [v =
1, u = -2^(1/2), x < -2, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-\
1482911/1048576, -741455/524288], [-3, -3], [1, 1], [2, 2]]]], [[8, 4, 1, 7, 5
], [v = 1, u = -2^(1/2), x < -2, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[1,
1], [-1482911/1048576, -741455/524288], [-3, -3], [1, 1], [3, 3]]]], [[8, 5, 8
, 3, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = 0, And(0 < y,y < -u^2+2), z < -
y^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [0, 0
], [569265/2097152, 569265/2097152], [-2, -2]]]], [[8, 5, 8, 3, 2], [v = 1, 
And(-2^(1/2) < u,u < -1), x = 0, And(0 < y,y < -u^2+2), 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, 3,
3], [v = 1, And(-2^(1/2) < u,u < -1), x = 0, And(0 < y,y < -u^2+2), 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, 3, 4], [v = 1, And(-2^(1/2) < u,u < -1), x = 0, And(0 < y,y < -u
^2+2), 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, 3, 5], [v = 1, And(-2^(1/2) < u,u < -1), x = 0, And(0 <
y,y < -u^2+2), y^(1/2) < z], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [0, 0], [569265/2097152, 569265/2097152], [2, 2]]]], [[8, 11
, 11, 3, 1], [v = 1, And(1 < u,u < 2^(1/2)), 1 < x, And(0 < y,y < x), z = z],
[regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [2, 2], [1, 1], [
0, 0]]]], [[8, 13, 6, 6, 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], [2594957/1048576, 1297479/524288], [-3, -3]]]], [[8, 13, 6, 6, 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], [2594957/1048576, 1297479/524288
], [-3299097/2097152, -3299097/2097152]]]], [[8, 13, 6, 6, 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], [2594957/1048576, 1297479/
524288], [-1/4194304, -1/4194304]]]], [[8, 13, 6, 6, 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], [2594957/1048576, 1297479/524288], [412387/
262144, 1649549/1048576]]]], [[8, 13, 6, 6, 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], [2594957/1048576, 1297479/524288], [3, 3]]]], [[9, 2
, 5, 4, 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
, 4, 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,
4, 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, 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
= 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [1, 1], [0, 0], [0, 0]]]], [[9, 13, 4, 1, 1], [
And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -1, y < -1, z = z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701
/1048576], [-1, -1], [-2, -2], [0, 0]]]], [[9, 14, 8, 2, 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, 9, 2, 1], [v = 2^(1/2), u < -2, And(1 < x,x < u^2-3), y = x
-u^2+3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [
7/2, 7/2], [-5/2, -5/2], [0, 0]]]], [[10, 3, 2, 7, 1], [v = 2^(1/2), And(-2 <
u,u < -3^(1/2)), x = -u^2+1, 0 < y, 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, 7, 2], [v =
2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, 0 < y, 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, 7, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2))
, x = -u^2+1, 0 < y, 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, 7, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, 0
< y, 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, 7, 5], [v = 2^(1/2), And(
-2 < u,u < -3^(1/2)), x = -u^2+1, 0 < y, (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, 4, 2, 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, 5, 1], [v = 2^(1/2), u = 0, x = 0, And(0 < y,y < 3), z < -y^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [0, 0], [3/2, 3/2],
[-3, -3]]]], [[10, 10, 6, 5, 2], [v = 2^(1/2), u = 0, x = 0, And(0 < y,y < 3),
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, 5, 3], [v
= 2^(1/2), u = 0, x = 0, And(0 < y,y < 3), 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, 5, 4], [v = 2^(1/2), u = 0, x = 0, And(0 < y,y < 3), 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, 5, 5], [v = 2^(1
/2), u = 0, x = 0, And(0 < y,y < 3), y^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [0, 0], [0, 0], [3/2, 3/2], [3, 3]]]], [[10, 15, 4,
1, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -1, y < -1, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-1, -1], [-2, -2], [0, 0]]]], [[10, 16, 8, 2, 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, 6, 3, 1], [v = 2^(1/2), 2 < u, x = 0, And(-u^2+3 < y,y < 0), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [0, 0], [-3, -3], [0
, 0]]]], [[11, 1, 8, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 11, 4,
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, 4, 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, 4, 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, 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 < -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, 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 < -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, 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 < -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, 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 < -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, 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
< -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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 14, 8, 7, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 1, 3 < y, z
< -(y-1)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [1
, 1], [4, 4], [-3, -3]]]], [[11, 14, 8, 7, 2], [2^(1/2) < v, u = (v^2-1)^(1/2)
, x = 1, 3 < y, z = -(y-1)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 
2965821/1048576], [1, 1], [4, 4], [-1816187/1048576, -3632373/2097152]]]], [[
11, 14, 8, 7, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 1, 3 < y, 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, 7, 4], [2^
(1/2) < v, u = (v^2-1)^(1/2), x = 1, 3 < y, z = (y-1)^(1/2)], [regular_chain,
[[3, 3], [741455/262144, 2965821/1048576], [1, 1], [4, 4], [908093/524288, 
1816187/1048576]]]], [[11, 14, 8, 7, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), x =
1, 3 < y, (y-1)^(1/2) < z], [regular_chain, [[3, 3], [741455/262144, 2965821/
1048576], [1, 1], [4, 4], [3, 3]]]], [[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 = z], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [0, 0], [-2, -2],
[0, 0]]]], [[11, 20, 8, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(
1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-2614535/
2097152, -2614535/2097152], [258691/2097152, 258691/2097152], [-3, -3]]]], [[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(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-2614535/2097152,
-2614535/2097152], [258691/2097152, 258691/2097152], [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(0 < y,y < u^2-v^2+x+1), z = (y-x)^(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, 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(0 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [258691/
2097152, 258691/2097152], [3, 3]]]], [[1, 6, 7, 2, 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, 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 = x, z < 0], [regular_chain, [[-3, -3], [0,
0], [-11/2, -11/2], [-11/2, -11/2], [-1, -1]]]], [[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 =
x, z = 0], [regular_chain, [[-3, -3], [0, 0], [-11/2, -11/2], [-11/2, -11/2],
[0, 0]]]], [[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 = x, 0 < z], [regular_chain, [[-3, -3],
[0, 0], [-11/2, -11/2], [-11/2, -11/2], [1, 1]]]], [[1, 12, 5, 3, 1], [v < -2^
(1/2), u = (v^2-2)^(1/2), And(-1 < x,x < 0), And(x-1 < y,y < x), z = z], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1/2, -1/2], [-1, -1
], [0, 0]]]], [[1, 18, 6, 5, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 0, 2 <
y, z < -y^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576],
[0, 0], [3, 3], [-3, -3]]]], [[1, 18, 6, 5, 2], [v < -2^(1/2), u = (v^2+1)^(1/
2), x = 0, 2 < y, z = -y^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 
3315889/1048576], [0, 0], [3, 3], [-1816187/1048576, -3632373/2097152]]]], [[1
, 18, 6, 5, 3], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 0, 2 < y, 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, 5, 4], [v < -2^(1/2),
u = (v^2+1)^(1/2), x = 0, 2 < y, z = y^(1/2)], [regular_chain, [[-3, -3], [
207243/65536, 3315889/1048576], [0, 0], [3, 3], [908093/524288, 1816187/
1048576]]]], [[1, 18, 6, 5, 5], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 0, 2 < y
, y^(1/2) < z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [0
, 0], [3, 3], [3, 3]]]], [[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-u^2+v^2+1 < y,y < x), 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(x < y,y < u^2+x-1), z < -(y-x)^(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(x <
y,y < u^2+x-1), z = -(y-x)^(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(x < y,y < u^2+x-1), And(-(y-
x)^(1/2) < z,z < (y-x)^(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(x < y,y < u^2+x-1), z = (y-x)^(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(x
< y,y < u^2+x-1), (y-x)^(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 < -(y+1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-1, -\
1], [-1/2, -1/2], [-2, -2]]]], [[2, 4, 4, 3, 2], [v = -2^(1/2), u = -3^(1/2),
x = -1, And(-1 < y,y < 0), z = -(y+1)^(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, 3, 3], [v = -2^(1
/2), u = -3^(1/2), x = -1, And(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(
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 = (y+1)^(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, 3, 5], [v = -2^(1/2), u = -3^(1/2), x = -1, And(-1 < y,y < 0), (y+1)^
(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/
1048576, -3632373/2097152], [-1, -1], [-1/2, -1/2], [2, 2]]]], [[2, 7, 7, 6, 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], [239655/
1048576, 29957/131072], [-2, -2]]]], [[2, 7, 7, 6, 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], [239655/1048576, 29957/
131072], [-1417877/2097152, -354469/524288]]]], [[2, 7, 7, 6, 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], [
239655/1048576, 29957/131072], [0, 0]]]], [[2, 7, 7, 6, 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], [239655/1048576, 29957/
131072], [354469/524288, 708939/1048576]]]], [[2, 7, 7, 6, 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], [239655/1048576, 29957/
131072], [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 < 0), z < -(y-u^2+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, 5, 2], [v = -2^(1/2), And(-1 < u,u < 0), x = u^2-3, And(u^2-\
3 < y,y < 0), z = -(y-u^2+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, 5, 3], [v = -2^(1/2), And(-1 < u,u < 0
), x = u^2-3, And(u^2-3 < y,y < 0), And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+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, 5, 4], [v = -2^(1/2), And(-1
< u,u < 0), x = u^2-3, And(u^2-3 < y,y < 0), z = (y-u^2+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, 5, 5], [v
= -2^(1/2), And(-1 < u,u < 0), x = u^2-3, And(u^2-3 < y,y < 0), (y-u^2+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, 13, 5, 5, 1], [v = -2^(1/2), And
(1 < u,u < -v), And(-1 < x,x < -u^2+1), And(u^2+x-1 < y,y < 0), z < -(y-x)^(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(u^2+x-1 < y,y < 0), z = -(y-x)^(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(u^2+x-1 < y,y < 0), And(-(y-x)^(1/
2) < z,z < (y-x)^(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(u^2+x-1 < y,y <
0), z = (y-x)^(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(u^2+x-1 <
y,y < 0), (y-x)^(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 = -u^2+1, z < 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-773191
/524288, -1546381/1048576], [-773191/524288, -1546381/1048576], [-1, -1]]]], [
[2, 15, 2, 2, 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], [-773191/524288
, -1546381/1048576], [0, 0]]]], [[2, 15, 2, 2, 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], [-773191/524288, -1546381/1048576], [1, 1]]]], [[3, 1, 7, 7,
1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(x < y
,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [1/2, 1/2], [10006449/2097152, 10006449/2097152],
[-4, -4]]]], [[3, 1, 7, 7, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2),
And(0 < x,x < 1), And(x < y,y < u^2-v^2+x+1), z = -(y-x)^(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, 7, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(0 < x,x <
1), And(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [1/2, 1/2], [
10006449/2097152, 10006449/2097152], [0, 0]]]], [[3, 1, 7, 7, 4], [And(-2^(1/2
) < v,v < -1), u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(x < y,y < u^2-v^2+x+1
), z = (y-x)^(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, 7, 5], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)
^(1/2), And(0 < x,x < 1), And(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [1/2, 1/2], [
10006449/2097152, 10006449/2097152], [4, 4]]]], [[3, 2, 9, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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
, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 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 = 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, 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(2*u^2-2*v^2 < y,y < u^2-v^2-1), z = z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [0, 0], [-2576463/1048576, -1288231/
524288], [-45057891/16777216, -45057891/16777216], [0, 0]]]], [[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-u^2+v^2
+1, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [8,
8], [763943/524288, 1527887/1048576], [0, 0]]]], [[4, 2, 2, 3, 1], [v = -1, u
= -3^(1/2), x = -3, And(-4 < y,y < -3), z = z], [regular_chain, [[-1, -1], [-\
1816187/1048576, -3632373/2097152], [-3, -3], [-7/2, -7/2], [0, 0]]]], [[4, 6,
7, 1, 1], [v = -1, u = -1, 1 < x, y < 0, z = z], [regular_chain, [[-1, -1], [-\
1, -1], [2, 2], [-1, -1], [0, 0]]]], [[4, 8, 2, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 4, 1,
1], [v = -1, u = 3^(1/2), x = -1, y < -2, z = z], [regular_chain, [[-1, -1], [
908093/524288, 1816187/1048576], [-1, -1], [-3, -3], [0, 0]]]], [[4, 15, 8, 2,
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, 9, 2, 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, 6, 2, 5, 1],
[And(-1 < v,v < 0), u = v, x = -1, 0 < y, z < -(y+1)^(1/2)], [regular_chain, [
[-1/2, -1/2], [-1/2, -1/2], [-1, -1], [1, 1], [-3, -3]]]], [[5, 6, 2, 5, 2], [
And(-1 < v,v < 0), u = v, x = -1, 0 < y, z = -(y+1)^(1/2)], [regular_chain, [[
-1/2, -1/2], [-1/2, -1/2], [-1, -1], [1, 1], [-1482911/1048576, -741455/524288
]]]], [[5, 6, 2, 5, 3], [And(-1 < v,v < 0), u = v, x = -1, 0 < y, And(-(y+1)^(
1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1,
-1], [1, 1], [0, 0]]]], [[5, 6, 2, 5, 4], [And(-1 < v,v < 0), u = v, x = -1, 0
< y, z = (y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1, -1],
[1, 1], [741455/524288, 1482911/1048576]]]], [[5, 6, 2, 5, 5], [And(-1 < v,v <
0), u = v, x = -1, 0 < y, (y+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1
/2, -1/2], [-1, -1], [1, 1], [3, 3]]]], [[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 = 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], [290131/262144, 1160525/
1048576], [-3, -3]]]], [[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 = 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], [290131/262144, 1160525/1048576], [-19417/
16384, -1242687/1048576]]]], [[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 = u^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], [290131/
262144, 1160525/1048576], [0, 0]]]], [[5, 9, 7, 8, 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], [290131/262144, 1160525/
1048576], [1242687/1048576, 19417/16384]]]], [[5, 9, 7, 8, 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], [290131/262144, 
1160525/1048576], [3, 3]]]], [[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, 0 < y, 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, 7, 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, 0 < y, 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, 7, 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, 0 < y, 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, 7, 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, 0 < y, 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, 7, 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, 0 < y, (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, 2, 1, 9,
1], [v = 0, u = -2^(1/2), x < -3, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[
0, 0], [-1482911/1048576, -741455/524288], [-4, -4], [1, 1], [-4, -4]]]], [[6,
2, 1, 9, 2], [v = 0, u = -2^(1/2), x < -3, 0 < y, z = -(y-x)^(1/2)], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-4, -4], [1, 1],
[-146543/65536, -2344687/1048576]]]], [[6, 2, 1, 9, 3], [v = 0, u = -2^(1/2),
x < -3, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0]
, [-1482911/1048576, -741455/524288], [-4, -4], [1, 1], [0, 0]]]], [[6, 2, 1,
9, 4], [v = 0, u = -2^(1/2), x < -3, 0 < y, z = (y-x)^(1/2)], [regular_chain,
[[0, 0], [-1482911/1048576, -741455/524288], [-4, -4], [1, 1], [2344687/
1048576, 146543/65536]]]], [[6, 2, 1, 9, 5], [v = 0, u = -2^(1/2), x < -3, 0 <
y, (y-x)^(1/2) < z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/
524288], [-4, -4], [1, 1], [4, 4]]]], [[6, 3, 6, 1, 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], [-2, -2], [0, 0]]]], [[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 < -(y-x)^(1/
2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [239655/
1048576, 239655/1048576], [4, 4], [-3, -3]]]], [[6, 9, 7, 9, 2], [v = 0, And(1
< u,u < 2^(1/2)), And(0 < x,x < u^2-1), u^2+x+1 < y, z = -(y-x)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [239655/1048576, 
239655/1048576], [4, 4], [-32581713/16777216, -2036357/1048576]]]], [[6, 9, 7,
9, 3], [v = 0, And(1 < u,u < 2^(1/2)), And(0 < x,x < u^2-1), u^2+x+1 < y, And(
-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [1265743/1048576,
1265743/1048576], [239655/1048576, 239655/1048576], [4, 4], [0, 0]]]], [[6, 9,
7, 9, 4], [v = 0, And(1 < u,u < 2^(1/2)), And(0 < x,x < u^2-1), u^2+x+1 < y, z
= (y-x)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [
239655/1048576, 239655/1048576], [4, 4], [2036357/1048576, 1018179/524288]]]],
[[6, 9, 7, 9, 5], [v = 0, And(1 < u,u < 2^(1/2)), And(0 < x,x < u^2-1), u^2+x+
1 < y, (y-x)^(1/2) < z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [239655/1048576, 239655/1048576], [4, 4], [3, 3]]]], [[6, 11, 1, 1,
1], [v = 0, 2^(1/2) < u, x < -u^2-1, y < x-u^2+1, z = z], [regular_chain, [[0,
0], [3, 3], [-11, -11], [-20, -20], [0, 0]]]], [[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(0 < y,y < x-u^2+v
^2+1), z = z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144],
[2, 2], [1611109/2097152, 1611109/2097152], [0, 0]]]], [[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 = u^2-v^2-1, z
< 0], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-\
624419/1048576, -1248837/2097152], [-624419/1048576, -1248837/2097152], [-1, -\
1]]]], [[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 = u^2-v^2-1, z = 0], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-624419/1048576, -1248837/2097152], [-624419/
1048576, -1248837/2097152], [0, 0]]]], [[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 = u^2-v^2-1, 0 < z], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-624419/
1048576, -1248837/2097152], [-624419/1048576, -1248837/2097152], [1, 1]]]], [[
8, 1, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 8, 2, 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, 5, 3, 1], [v = 1, And(-1
< u,u < 0), And(-1 < x,x < -u^2), And(x < y,y < u^2+x), z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [-1/2, -1/2], [-2, -2]]]],
[[8, 7, 5, 3, 2], [v = 1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(x < y,y
< u^2+x), z = -(y-x)^(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, 3, 3], [v =
1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(x < y,y < u^2+x), And(-(y-x)^(
1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8
], [-1/2, -1/2], [0, 0]]]], [[8, 7, 5, 3, 4], [v = 1, And(-1 < u,u < 0), And(-\
1 < x,x < -u^2), And(x < y,y < u^2+x), z = (y-x)^(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, 3, 5], [v = 1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(x <
y,y < u^2+x), (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-1/2, -1/2], [-5/8,
-5/8], [-1/2, -1/2], [2, 2]]]], [[8, 8, 9, 6, 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, 6, 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, 6, 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, 6, 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,
6, 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, 5, 1], [v = 1, u = 3^(1/2), 1 <
x, And(x-1 < y,y < 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 < x-u^2+v^2+1,
z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-\
10006449/2097152, -10006449/2097152], [-13, -13], [0, 0]]]], [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/
4194304, -3213831/4194304], [-245119/1048576, -122559/524288], [-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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [-245119/1048576, -\
122559/524288], [-1530309/2097152, -382577/524288]]]], [[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 = x-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], [-3213831/4194304, -3213831/4194304], [-245119/1048576, -\
122559/524288], [0, 0]]]], [[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 = x-u^2+v^2+1, z = (-u^2+
v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-3213831/4194304, -3213831/4194304], [-245119/
1048576, -122559/524288], [382577/524288, 765155/1048576]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/
4194304, -3213831/4194304], [-245119/1048576, -122559/524288], [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 < 0), z < -(y-u^2+v^2+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, 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 < 0), z = -(y-u^2+v^2+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, 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
< 0), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+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, 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 < 0), z = (y-u^2+v^2+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, 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 <
0), (y-u^2+v^2+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, 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(
u^2-v^2+x+1 < y,y < x), z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [2, 2], [1857497/1048576, 1857497/1048576], [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 < x, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-450371/2097152, -450371/2097152]
, [-2, -2], [0, 0]]]], [[9, 16, 1, 9, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)
^(1/2), x < -3, 0 < y, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [121853/65536, 1949649/1048576], [-4, -4], [1, 1], [-4, -4]]
]], [[9, 16, 1, 9, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x < -3, 0 <
y, z = -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [-4, -4], [1, 1], [-146543/65536, -2344687/
1048576]]]], [[9, 16, 1, 9, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x
< -3, 0 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743
/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-4, -4], [1, 1],
[0, 0]]]], [[9, 16, 1, 9, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x <
-3, 0 < y, z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [121853/65536, 1949649/1048576], [-4, -4], [1, 1], [2344687/1048576,
146543/65536]]]], [[9, 16, 1, 9, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2
), x < -3, 0 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [121853/65536, 1949649/1048576], [-4, -4], [1, 1], [4, 4]]]], [[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 < -y^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [3, 3], [0, 0], [8957873/2097152, 8957873/2097152], [-4, -4]]]], [[9, 17, 6,
5, 2], [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 = -y^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3,
3], [0, 0], [8957873/2097152, 8957873/2097152], [-2167143/1048576, -1083571/
524288]]]], [[9, 17, 6, 5, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x =
0, And(0 < y,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], [8957873/2097152, 8957873/
2097152], [0, 0]]]], [[9, 17, 6, 5, 4], [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 = y^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [0, 0], [8957873/2097152, 8957873/2097152],
[1083571/524288, 2167143/1048576]]]], [[9, 17, 6, 5, 5], [And(1 < v,v < 2^(1/2
)), (v^2+2)^(1/2) < u, x = 0, And(0 < y,y < u^2-v^2+1), y^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [0, 0], [8957873/
2097152, 8957873/2097152], [4, 4]]]], [[10, 5, 11, 6, 1], [v = 2^(1/2), And(-3
^(1/2) < u,u < -v), 1 < x, y = x-u^2+3, z < -(-u^2+3)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [2, 2
], [2647921/1048576, 1323961/524288], [-2, -2]]]], [[10, 5, 11, 6, 2], [v = 2^
(1/2), And(-3^(1/2) < u,u < -v), 1 < x, y = x-u^2+3, z = -(-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [2, 2], [2647921/1048576, 1323961/524288], [-379975/524288, -1519899
/2097152]]]], [[10, 5, 11, 6, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), 1 <
x, y = x-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], [2, 2
], [2647921/1048576, 1323961/524288], [-1/4194304, -1/4194304]]]], [[10, 5, 11
, 6, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), 1 < x, y = x-u^2+3, z = (-u^2
+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [2, 2], [2647921/1048576, 1323961/524288], [759949
/1048576, 379975/524288]]]], [[10, 5, 11, 6, 5], [v = 2^(1/2), And(-3^(1/2) <
u,u < -v), 1 < x, y = x-u^2+3, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [2, 2], [
2647921/1048576, 1323961/524288], [2, 2]]]], [[10, 7, 8, 7, 1], [v = 2^(1/2),
And(-v < u,u < -1), x = 0, -u^2+3 < y, z < -y^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [3, 3
], [-3, -3]]]], [[10, 7, 8, 7, 2], [v = 2^(1/2), And(-v < u,u < -1), x = 0, -u
^2+3 < y, 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, 7, 3], [v = 2^(1/2), And(-v < u,u < -1), x =
0, -u^2+3 < y, 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, 7, 4], [v = 2^(1/2), And(-v < u,u < -1),
x = 0, -u^2+3 < y, 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, 7, 5], [v = 2^(1/2), And(-v < u,u < -1), x
= 0, -u^2+3 < y, y^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [3, 3], [3, 3]]]], [[
10, 11, 11, 3, 1], [v = 2^(1/2), And(0 < u,u < 1), 1 < x, And(0 < y,y < u^2+x-\
1), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [2,
2], [5/8, 5/8], [0, 0]]]], [[10, 13, 6, 6, 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], [569265/524288, 1138531/1048576], [-3, -3]]]], [[10, 13, 6,
6, 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], [569265/524288, 1138531/
1048576], [-1302471/1048576, -651235/524288]]]], [[10, 13, 6, 6, 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], [569265/524288,
1138531/1048576], [0, 0]]]], [[10, 13, 6, 6, 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], [569265/524288, 1138531/1048576], [651235/524288, 1302471/
1048576]]]], [[10, 13, 6, 6, 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
], [569265/524288, 1138531/1048576], [3, 3]]]], [[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(-2*u^2+2*v^
2 < y,y < -u^2+v^2-1), z = z], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [-2615197/1048576, -653799/262144], [-183949995/67108864, -\
183949995/67108864], [0, 0]]]], [[11, 4, 5, 7, 1], [2^(1/2) < v, u = -(v^2+1)^
(1/2), And(-1 < x,x < 0), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[3, 3],
[-3315889/1048576, -207243/65536], [-1/2, -1/2], [3, 3], [-3, -3]]]], [[11, 4,
5, 7, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, z = -(
y-x)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-1/2
, -1/2], [3, 3], [-7846825/4194304, -980853/524288]]]], [[11, 4, 5, 7, 3], [2^
(1/2) < v, u = -(v^2+1)^(1/2), And(-1 < x,x < 0), x+2 < y, And(-(y-x)^(1/2) <
z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536
], [-1/2, -1/2], [3, 3], [0, 0]]]], [[11, 4, 5, 7, 4], [2^(1/2) < v, u = -(v^2
+1)^(1/2), And(-1 < x,x < 0), x+2 < y, z = (y-x)^(1/2)], [regular_chain, [[3,
3], [-3315889/1048576, -207243/65536], [-1/2, -1/2], [3, 3], [980853/524288, 
1961707/1048576]]]], [[11, 4, 5, 7, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(
-1 < x,x < 0), x+2 < y, (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-3315889/
1048576, -207243/65536], [-1/2, -1/2], [3, 3], [3, 3]]]], [[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 = z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1,
-1], [-395403/262144, -3163223/2097152], [0, 0]]]], [[11, 10, 6, 5, 1], [2^(1/
2) < v, u = -(v^2-2)^(1/2), x = 0, And(0 < y,y < 3), z < -y^(1/2)], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [0, 0], [3/2, 3/
2], [-3, -3]]]], [[11, 10, 6, 5, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 0,
And(0 < y,y < 3), 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, 5, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 0, And(0 < y,y < 3),
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, 5, 4], [2^(1/2)
< v, u = -(v^2-2)^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 5], [2^(1/2) < v, u = -(v^2-2)^(1
/2), x = 0, And(0 < y,y < 3), y^(1/2) < z], [regular_chain, [[3, 3], [-5548543
/2097152, -2774271/1048576], [0, 0], [3/2, 3/2], [3, 3]]]], [[11, 16, 3, 1, 1]
, [2^(1/2) < v, u = v, And(-1 < x,x < 0), y < x, z = z], [regular_chain, [[3,
3], [3, 3], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[11, 17, 10, 7, 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, 7, 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, 7, 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, 7, 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, 7, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [129511/524288, 129511/524288], [391655/
262144, 391655/262144], [-3, -3]]]], [[1, 3, 7, 7, 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(x < y,y < u^
2-v^2+x+1), z = -(y-x)^(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, 7, 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(x
< y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain,
[[-3, -3], [-3396811/1048576, -3396811/1048576], [129511/524288, 129511/524288
], [391655/262144, 391655/262144], [0, 0]]]], [[1, 3, 7, 7, 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(x <
y,y < u^2-v^2+x+1), z = (y-x)^(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, 7, 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(x < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [129511/524288, 129511/524288], [391655/
262144, 391655/262144], [3, 3]]]], [[1, 8, 3, 7, 1], [v < -2^(1/2), u = -(v^2-\
1)^(1/2), And(-2 < x,x < -1), x+2 < y, z < -(y-x)^(1/2)], [regular_chain, [[-3
, -3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2], [2, 2], [-3, -3]]]
], [[1, 8, 3, 7, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), x+
2 < y, z = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [-3/2, -3/2], [2, 2], [-7846825/4194304, -980853/524288]]]]
, [[1, 8, 3, 7, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), x+2
< y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [-3/2, -3/2], [2, 2], [0, 0]]]], [[1, 8,
3, 7, 4], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), x+2 < y, z =
(y-x)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304]
, [-3/2, -3/2], [2, 2], [980853/524288, 1961707/1048576]]]], [[1, 8, 3, 7, 5],
[v < -2^(1/2), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), x+2 < y, (y-x)^(1/2) <
z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3/2, -\
3/2], [2, 2], [3, 3]]]], [[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 = u^2-v^2+x+1, z = z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [395403/
524288, 395403/524288], [128885/524288, 257771/1048576], [0, 0]]]], [[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(0 < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[-3, -3],
[6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [399003/
1048576, 399003/1048576], [-3, -3]]]], [[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(0 < y,y < x-u^2+v^2+
1), z = -(y-x)^(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, 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(0 < y,y < x-u^2+v^2+
1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [399003/
1048576, 399003/1048576], [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(0 < y,y < x-u^2+v^2+1)
, z = (y-x)^(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, 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(0 < y,y < x-u^2+v^2+1)
, (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-391287/524288, -391287/524288], [399003/1048576, 399003/1048576],
[3, 3]]]], [[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], [-\
66225059/67108864, -33112529/33554432], [-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], [-66225059/67108864, -33112529/33554432
], [-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], [-66225059/
67108864, -33112529/33554432], [-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], [-66225059/67108864, -33112529/
33554432], [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], [-66225059/67108864, -33112529/33554432], [2
, 2]]]], [[1, 21, 5, 4, 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, 4, 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, 4, 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, 7, 5, 1], [v = -2^(1/2), u < -2, And(0 < x,x
< 1), And(0 < y,y < x), 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(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x
)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = x-u^2+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, 8, 2], [v = -2^(1/2), 
And(0 < u,u < 1), And(-u^2+1 < x,x < 1), y = x-u^2+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, 8, 3], [v =
-2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), y = x-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], [7/8, 7/8], [29/8, 29/8], [-1/4194304, -1/4194304]]]], [[
2, 11, 9, 8, 4], [v = -2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), y = x
-u^2+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, 8, 5], [v = -2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1
), y = x-u^2+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, 16, 6, 3
, 1], [v = -2^(1/2), u = 3^(1/2), x = 0, And(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y <
2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < x-u^2+3), z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [2, 2], [397921/524288, 397921/
524288], [0, 0]]]], [[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 < -(y+1)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-1, -1], [1/
2, 1/2], [-3, -3]]]], [[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 = -(y+1)^(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, 5, 3], [And(
-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -1, And(0 < 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], [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 = (y+1)^(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, 5, 5], [And(-2^(1/2) < v,v < -1), u =
-(v^2+1)^(1/2), x = -1, And(0 < y,y < 1), (y+1)^(1/2) < z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-1,
-1], [1/2, 1/2], [3, 3]]]], [[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), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1/2, 1/2], [3, 3], [-3, -3]]]], [[3, 5, 9, 9, 2], [And(-2^(
1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), u^2-v^2+x+1
< y, z = -(y-x)^(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, 9, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(
1/2) < u,u < v), And(0 < x,x < 1), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (
y-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805
/4194304, -5818805/4194304], [1/2, 1/2], [3, 3], [0, 0]]]], [[3, 5, 9, 9, 4],
[And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), u^
2-v^2+x+1 < y, z = (y-x)^(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, 9, 5], [And(-2^(1/2) < v,v < -1), And(
-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), u^2-v^2+x+1 < y, (y-x)^(1/2) < z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1/2, 1/2], [3, 3], [3, 3]]]], [[3, 10, 6, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 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 < -1), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [-1, -1], [-2599117/2097152, -2599117/2097152],
[0, 0]]]], [[3, 16, 6, 2, 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, 7, 6, 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, 6, 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, 6, 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, 5, 1], [v = -1, And(-2^(1/2) < u,u < -1), x = -u^2, And(
-2*u^2+2 < y,y < 0), z < -(u^2+y)^(1/2)], [regular_chain, [[-1, -1], [-1265743
/1048576, -1265743/1048576], [-1527887/1048576, -763943/524288], [-7668971/
16777216, -7668971/16777216], [-3, -3]]]], [[4, 5, 2, 5, 2], [v = -1, And(-2^(
1/2) < u,u < -1), x = -u^2, And(-2*u^2+2 < y,y < 0), z = -(u^2+y)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1527887/
1048576, -763943/524288], [-7668971/16777216, -7668971/16777216], [-1048577/
1048576, -1]]]], [[4, 5, 2, 5, 3], [v = -1, And(-2^(1/2) < 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], [-1265743/1048576, -1265743/1048576], [-1527887/
1048576, -763943/524288], [-7668971/16777216, -7668971/16777216], [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 < 0), z = (u^2+y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-1527887/1048576, -763943/524288], [-7668971/16777216, -\
7668971/16777216], [1, 1048577/1048576]]]], [[4, 5, 2, 5, 5], [v = -1, And(-2^
(1/2) < u,u < -1), x = -u^2, And(-2*u^2+2 < y,y < 0), (u^2+y)^(1/2) < z], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1527887/
1048576, -763943/524288], [-7668971/16777216, -7668971/16777216], [3, 3]]]], [
[4, 11, 5, 9, 1], [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), u^2+
x < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743
/1048576], [-3235683/4194304, -3235683/4194304], [2, 2], [-3, -3]]]], [[4, 11,
5, 9, 2], [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), u^2+x < y, z
= -(y-x)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576]
, [-3235683/4194304, -3235683/4194304], [2, 2], [-3491269/2097152, -872817/
524288]]]], [[4, 11, 5, 9, 3], [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x <
u^2-2), u^2+x < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-\
1, -1], [1265743/1048576, 1265743/1048576], [-3235683/4194304, -3235683/
4194304], [2, 2], [0, 0]]]], [[4, 11, 5, 9, 4], [v = -1, And(1 < u,u < 2^(1/2)
), And(-1 < x,x < u^2-2), u^2+x < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -\
1], [1265743/1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304],
[2, 2], [872817/524288, 1745635/1048576]]]], [[4, 11, 5, 9, 5], [v = -1, And(1
< u,u < 2^(1/2)), And(-1 < x,x < u^2-2), u^2+x < y, (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3235683/
4194304, -3235683/4194304], [2, 2], [3, 3]]]], [[4, 13, 1, 1, 1], [v = -1, And
(2^(1/2) < u,u < 3^(1/2)), x < -u^2, y < x-u^2+2, z = z], [regular_chain, [[-1
, -1], [3299097/2097152, 3299097/2097152], [-4, -4], [-6, -6], [0, 0]]]], [[5,
1, 11, 3, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, And(0 < y
,y < x-u^2+v^2+1), z = z], [regular_chain, [[-1/2, -1/2], [-3, -3], [9, 9], [5
/8, 5/8], [0, 0]]]], [[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 = -1, z < 0], [regular_chain, [[-1/2, -1/2]
, [-343151/262144, -343151/262144], [-1, -1], [-1, -1], [-1, -1]]]], [[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 = -1, z = 0], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/
262144], [-1, -1], [-1, -1], [0, 0]]]], [[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 = -1, 0 < z], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1, -1], [-1,
-1], [1, 1]]]], [[5, 12, 5, 7, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(
-1 < x,x < 0), And(0 < y,y < x+3), z < -(y-x)^(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, 7, 2], [
And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), z
= -(y-x)^(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, 7, 3], [And(-1 < v,v <
0), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < x+3), And(-(y-x)^(1/2)
< z,z < (y-x)^(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, 7, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1
/2), And(-1 < x,x < 0), And(0 < y,y < x+3), z = (y-x)^(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, 7, 5], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-1 < x
,x < 0), And(0 < y,y < x+3), (y-x)^(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, 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 < -(
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, 8, 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, 8, 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, 8, 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, 8, 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, 2, 1, 1], [v = 0, And(-1 < u,u < 0), x = -u^2-1, y < -u^2-1, z = z], [
regular_chain, [[0, 0], [-1/2, -1/2], [-5/4, -5/4], [-3, -3], [0, 0]]]], [[6,
6, 5, 3, 1], [v = 0, u = 0, And(0 < x,x < 1), And(0 < y,y < x), z = z], [
regular_chain, [[0, 0], [0, 0], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[7, 1, 4,
1, 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], [-10, -10], [0, 0]]]], [[7, 2,
5, 9, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), x+3 < y, z
< -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1/2, -1/2], [4,
4], [-4, -4]]]], [[7, 2, 5, 9, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(
-1 < x,x < 0), x+3 < y, z = -(y-x)^(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
, 9, 3], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), x+3 < y, 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-3/2, -3
/2], [-1/2, -1/2], [4, 4], [0, 0]]]], [[7, 2, 5, 9, 4], [And(0 < v,v < 1), u =
-(v^2+2)^(1/2), And(-1 < x,x < 0), x+3 < y, z = (y-x)^(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, 9, 5], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-1 <
x,x < 0), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2]
, [-1/2, -1/2], [4, 4], [4, 4]]]], [[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-u^2+v^2+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [2, 2], [-3, -3]]]], [[7, 7,
3, 9, 2], [And(0 < v,v < 1), And(-v < u,u < v), And(u^2-v^2-1 < x,x < -1), x-u
^2+v^2+1 < y, z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -\
9/8], [2, 2], [-7414553/4194304, -926819/524288]]]], [[7, 7, 3, 9, 3], [And(0
< v,v < 1), And(-v < u,u < v), And(u^2-v^2-1 < x,x < -1), x-u^2+v^2+1 < y, And
(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [-9/
8, -9/8], [2, 2], [0, 0]]]], [[7, 7, 3, 9, 4], [And(0 < v,v < 1), And(-v < u,u
< v), And(u^2-v^2-1 < x,x < -1), x-u^2+v^2+1 < y, z = (y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [2, 2], [926819/524288, 
1853639/1048576]]]], [[7, 7, 3, 9, 5], [And(0 < v,v < 1), And(-v < u,u < v), 
And(u^2-v^2-1 < x,x < -1), x-u^2+v^2+1 < y, (y-x)^(1/2) < z], [regular_chain,
[[1/2, 1/2], [0, 0], [-9/8, -9/8], [2, 2], [3, 3]]]], [[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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain,
[[1/2, 1/2], [343151/262144, 343151/262144], [1534619/2097152, 1534619/2097152
], [4117813/2097152, 4117813/2097152], [-3, -3]]]], [[7, 11, 9, 7, 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(x < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2],
[343151/262144, 343151/262144], [1534619/2097152, 1534619/2097152], [4117813/
2097152, 4117813/2097152], [-1163761/1048576, -72735/65536]]]], [[7, 11, 9, 7,
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(x < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [1534619/
2097152, 1534619/2097152], [4117813/2097152, 4117813/2097152], [0, 0]]]], [[7,
11, 9, 7, 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(x < y,y < u^2-v^2+x+1), z = (y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [1534619/2097152,
1534619/2097152], [4117813/2097152, 4117813/2097152], [72735/65536, 1163761/
1048576]]]], [[7, 11, 9, 7, 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(x < y,y < u^2-v^2+x+1), (y-x)^(1/
2) < z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [1534619
/2097152, 1534619/2097152], [4117813/2097152, 4117813/2097152], [3, 3]]]], [[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(x-u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[1/2, 1/2], [3, 3], [
-43/8, -43/8], [-37/4, -37/4], [0, 0]]]], [[8, 4, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 8, 2, 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, 2, 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, 2,
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, 4, 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, 4, 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, 4, 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, 7, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)),
x = 0, u^2 < y, z < -y^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [0, 0], [4, 4], [-3, -3]]]], [[8, 13, 6, 7, 2], [v = 1, And(
2^(1/2) < u,u < 3^(1/2)), x = 0, u^2 < y, z = -y^(1/2)], [regular_chain, [[1,
1], [3299097/2097152, 3299097/2097152], [0, 0], [4, 4], [-2, -2]]]], [[8, 13,
6, 7, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 0, u^2 < y, 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, 7, 4], [v = 1, And(2^(1/2) < u,u < 3^(1
/2)), x = 0, u^2 < y, z = y^(1/2)], [regular_chain, [[1, 1], [3299097/2097152,
3299097/2097152], [0, 0], [4, 4], [2, 2]]]], [[8, 13, 6, 7, 5], [v = 1, And(2^
(1/2) < u,u < 3^(1/2)), x = 0, u^2 < y, y^(1/2) < z], [regular_chain, [[1, 1],
[3299097/2097152, 3299097/2097152], [0, 0], [4, 4], [3, 3]]]], [[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-1 < y
,y < x), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [-1/2, -1/2], [-1, -1], [0, 0]]]], [[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 < 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-14373233/8388608, -14373233/8388608], [1, 1], [-1, -1], [0, 0]]]], [[9, 13, 4
, 2, 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, 2, 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, 2, 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, 3, 1], [And(1 < v,v < 2^(1/2)), u = (v^2
+1)^(1/2), x = 1, And(0 < y,y < 1), z = z], [regular_chain, [[1265743/1048576,
1265743/1048576], [1643659/1048576, 410915/262144], [1, 1], [1/2, 1/2], [0, 0]
]]], [[10, 1, 9, 1, 1], [v = 2^(1/2), u < -2, And(1 < x,x < u^2-3), y < x-u^2+
3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [7/2,
7/2], [-4, -4], [0, 0]]]], [[10, 3, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 4, 3, 1], [v = 2
^(1/2), And(-1 < u,u < 0), x = -1, And(u^2-2 < y,y < -1), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-1, -1], [-11
/8, -11/8], [0, 0]]]], [[10, 10, 6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 9, 1], [v = 2^(1/2), And(v < u
,u < 3^(1/2)), And(-u^2+1 < x,x < -1), u^2+x-1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-2594957/2097152, -2594957/2097152], [2, 2], [-3, -3]]]], [[10, 15,
3, 9, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), u^2+x-\
1 < y, z = -(y-x)^(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, 9, 3], [v = 2^(1/2),
And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), u^2+x-1 < y, And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/2097152], [2, 2
], [0, 0]]]], [[10, 15, 3, 9, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u
^2+1 < x,x < -1), u^2+x-1 < y, z = (y-x)^(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, 9, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), u^
2+x-1 < y, (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576]
, [3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/2097152], [2
, 2], [3, 3]]]], [[10, 16, 8, 1, 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], [-1, -1], [0, 0]]]], [[10, 19, 6, 2, 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, 8, 7, 1], [2^(1/2) < v
, u < -(v^2+2)^(1/2), x = 1, And(1 < y,y < u^2-v^2+2), z < -(y-1)^(1/2)], [
regular_chain, [[3, 3], [-5, -5], [1, 1], [19/2, 19/2], [-4, -4]]]], [[11, 1,
8, 7, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 1, And(1 < y,y < u^2-v^2+2), z
= -(y-1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [1, 1], [19/2, 19/2], [-\
24456785/8388608, -1528549/524288]]]], [[11, 1, 8, 7, 3], [2^(1/2) < v, u < -(
v^2+2)^(1/2), x = 1, And(1 < y,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], [19/2, 19/2], [0, 0]]]], [
[11, 1, 8, 7, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 1, And(1 < y,y < u^2-v
^2+2), z = (y-1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [1, 1], [19/2, 19/
2], [1528549/524288, 3057099/1048576]]]], [[11, 1, 8, 7, 5], [2^(1/2) < v, u <
-(v^2+2)^(1/2), x = 1, And(1 < y,y < u^2-v^2+2), (y-1)^(1/2) < z], [
regular_chain, [[3, 3], [-5, -5], [1, 1], [19/2, 19/2], [4, 4]]]], [[11, 5, 11
, 5, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And(x < y,y < x-
u^2+v^2+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [2, 2], [590687/262144, 590687/262144], [-2, -2]]]], [[11, 5,
11, 5, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And(x < y,y <
x-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [2, 2], [590687/262144, 590687/262144], [-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(x < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/
2))], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [2, 2], [
590687/262144, 590687/262144], [-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(x < y,y < x-u^2+v^2
+1), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [2, 2], [590687/262144, 590687/262144], [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(x < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [2, 2], [590687/262144, 590687/262144], [2, 2]
]]], [[11, 7, 8, 6, 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], [395145/262144, 1580581/1048576], [-3, -3]
]]], [[11, 7, 8, 6, 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], [395145/262144, 1580581/1048576], [-\
1287385/1048576, -160923/131072]]]], [[11, 7, 8, 6, 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], [395145/262144, 1580581/1048576], [0, 0]]]], [[11, 7, 8, 6,
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], [395145/262144, 1580581/1048576], [160923/131072, 1287385/
1048576]]]], [[11, 7, 8, 6, 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], [395145/262144, 1580581/1048576],
[3, 3]]]], [[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(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = 3, z < -2^(1/2)]
, [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [1, 1], [3, 3], [
-3, -3]]]], [[11, 14, 8, 6, 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, 6, 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, 6, 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, 6, 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, 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 = z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [0, 0]
, [-518045/1048576, -129511/262144], [0, 0]]]], [[11, 20, 8, 7, 1], [2^(1/2) <
v, u = (v^2+2)^(1/2), x = 1, 4 < y, z < -(y-1)^(1/2)], [regular_chain, [[3, 3]
, [3477733/1048576, 1738867/524288], [1, 1], [5, 5], [-3, -3]]]], [[11, 20, 8,
7, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 1, 4 < y, z = -(y-1)^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [1, 1], [5, 5], [-2
, -2]]]], [[11, 20, 8, 7, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 1, 4 < y, 
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, 7, 4], [2^(1
/2) < v, u = (v^2+2)^(1/2), x = 1, 4 < y, z = (y-1)^(1/2)], [regular_chain, [[
3, 3], [3477733/1048576, 1738867/524288], [1, 1], [5, 5], [2, 2]]]], [[11, 20,
8, 7, 5], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 1, 4 < y, (y-1)^(1/2) < z], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [1, 1], [5, 5], [3,
3]]]], [[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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain
, [[-3, -3], [-403851/131072, -403851/131072], [-2614535/2097152, -2614535/
2097152], [-776075/1048576, -1552149/2097152], [-2, -2]]]], [[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 =
x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [-776075/
1048576, -1552149/2097152], [-373161/524288, -1492643/2097152]]]], [[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 = x-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], [-2614535/2097152,
-2614535/2097152], [-776075/1048576, -1552149/2097152], [-1/4194304, -1/
4194304]]]], [[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 = x-u^2+v^2+1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-2614535/2097152,
-2614535/2097152], [-776075/1048576, -1552149/2097152], [746321/1048576, 
373161/524288]]]], [[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 = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-2614535/2097152,
-2614535/2097152], [-776075/1048576, -1552149/2097152], [2, 2]]]], [[1, 6, 7,
3, 1], [v < -2^(1/2), u = v, 1 < x, And(0 < y,y < x), z = z], [regular_chain,
[[-3, -3], [-3, -3], [2, 2], [1, 1], [0, 0]]]], [[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 < x), z = z], [regular_chain, [[-3, -3], [0, 0], [-11/2, -11
/2], [-19/2, -19/2], [0, 0]]]], [[1, 12, 5, 6, 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,
6, 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, 6, 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, 6, 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, 6, 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, 2, 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, 2, 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, 2, 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, 6, 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, 6, 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, 6, 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, 4, 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
, 4, 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, 4, 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, 6, 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,
6, 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, 6, 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, 6, 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, 6, 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, 3, 1], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1
< x,x < 0), And(x < y,y < 0), z < -(y-x)^(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, 3, 2], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,x < 0), And(x
< y,y < 0), z = -(y-x)^(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, 3, 3], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,x < 0)
, And(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 3, 4], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,x < 0),
And(x < y,y < 0), z = (y-x)^(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, 3, 5], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 <
x,x < 0), And(x < y,y < 0), (y-x)^(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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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
, 13, 5, 4, 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], [-284633/1048576, -35579/131072], [-2, -2]]]], [[2, 13, 5, 4, 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], [-284633/
1048576, -35579/131072], [-1417877/2097152, -354469/524288]]]], [[2, 13, 5, 4,
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], [-284633/1048576, -35579/131072], [0, 0]]]], [[2, 13, 5, 4,
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], [-284633/
1048576, -35579/131072], [354469/524288, 708939/1048576]]]], [[2, 13, 5, 4, 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], [-284633/
1048576, -35579/131072], [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 < 0), z < -(u^2+y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-773191/524288, -1546381/1048576], [-15929779/33554432, -15929779/
33554432], [-3, -3]]]], [[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 < 0), z = -(u^2+y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-773191/524288, -1546381/1048576], [-15929779/33554432, -15929779/
33554432], [-1048577/1048576, -1]]]], [[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 < 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], [-\
15929779/33554432, -15929779/33554432], [0, 0]]]], [[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 < 0), z = (u^2+
y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-773191/524288, -1546381/1048576], [-15929779/
33554432, -15929779/33554432], [1, 1048577/1048576]]]], [[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 < 0), (u^2
+y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-773191/524288, -1546381/1048576], [-\
15929779/33554432, -15929779/33554432], [3, 3]]]], [[3, 1, 7, 4, 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, 9, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/
2), 1 < x, x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3899297/2097152, -7798593/4194304], [2, 2], [6, 6], [-3, -\
3]]]], [[3, 2, 9, 9, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), 1 < x,
x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [2, 2], [6, 6], [-2, -2]]]], [
[3, 2, 9, 9, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), 1 < x, x+3 < y
, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3899297/2097152, -7798593/4194304], [2, 2], [6, 6], [0, 0
]]]], [[3, 2, 9, 9, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), 1 < x,
x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [2, 2], [6, 6], [2, 2]]]], [[3
, 2, 9, 9, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), 1 < x, x+3 < y,
(y-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [2, 2], [6, 6], [3, 3]]]], [[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(x < y,y < 0), z < -(y-x)^(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, 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(x < y,y < 0), z = -(y-x)^(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, 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(x < y,y < 0), And(-
(y-x)^(1/2) < z,z < (y-x)^(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, 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(x < y,y < 0), z = (y-x)^(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, 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(x < y,y < 0), (y-x)^(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, 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 < -(-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, 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 = 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, 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 = 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, 6, 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, 6, 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, 3, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(
1/2) < u, u^2-v^2-1 < x, And(0 < y,y < x-u^2+v^2+1), z = z], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [3, 3], [8, 8], [763943/1048576, 763943/
1048576], [0, 0]]]], [[4, 2, 2, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = -1, u = -1, x = 1, And(1 < y,y < 2), z <
-(y-1)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [1, 1], [3/2, 3/2], [-2, -\
2]]]], [[4, 6, 6, 5, 2], [v = -1, u = -1, x = 1, And(1 < y,y < 2), z = -(y-1)^
(1/2)], [regular_chain, [[-1, -1], [-1, -1], [1, 1], [3/2, 3/2], [-1482911/
2097152, -741455/1048576]]]], [[4, 6, 6, 5, 3], [v = -1, u = -1, x = 1, And(1
< y,y < 2), 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, 5, 4], [v = -1, u = -1, x
= 1, And(1 < y,y < 2), z = (y-1)^(1/2)], [regular_chain, [[-1, -1], [-1, -1],
[1, 1], [3/2, 3/2], [741455/1048576, 46341/65536]]]], [[4, 6, 6, 5, 5], [v = -\
1, u = -1, x = 1, And(1 < y,y < 2), (y-1)^(1/2) < z], [regular_chain, [[-1, -1
], [-1, -1], [1, 1], [3/2, 3/2], [2, 2]]]], [[4, 8, 2, 5, 1], [v = -1, u = 0,
x = -2, 0 < y, z < -(y+2)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-2, -2],
[1, 1], [-3, -3]]]], [[4, 8, 2, 5, 2], [v = -1, u = 0, x = -2, 0 < y, z = -(y+
2)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-2, -2], [1, 1], [-1816187/
1048576, -3632373/2097152]]]], [[4, 8, 2, 5, 3], [v = -1, u = 0, x = -2, 0 < y
, And(-(y+2)^(1/2) < z,z < (y+2)^(1/2))], [regular_chain, [[-1, -1], [0, 0], [
-2, -2], [1, 1], [-1/4194304, -1/4194304]]]], [[4, 8, 2, 5, 4], [v = -1, u = 0
, x = -2, 0 < y, z = (y+2)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-2, -2]
, [1, 1], [908093/524288, 1816187/1048576]]]], [[4, 8, 2, 5, 5], [v = -1, u =
0, x = -2, 0 < y, (y+2)^(1/2) < z], [regular_chain, [[-1, -1], [0, 0], [-2, -2
], [1, 1], [3, 3]]]], [[4, 14, 3, 9, 1], [v = -1, u = 3^(1/2), And(-3 < x,x <
-1), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 
1816187/1048576], [-2, -2], [2, 2], [-3, -3]]]], [[4, 14, 3, 9, 2], [v = -1, u
= 3^(1/2), And(-3 < x,x < -1), x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[-\
1, -1], [908093/524288, 1816187/1048576], [-2, -2], [2, 2], [-2, -2]]]], [[4,
14, 3, 9, 3], [v = -1, u = 3^(1/2), And(-3 < x,x < -1), x+3 < y, And(-(y-x)^(1
/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [-2, -2], [2, 2], [0, 0]]]], [[4, 14, 3, 9, 4], [v = -1, u = 3^(1/2)
, And(-3 < x,x < -1), x+3 < y, z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [
908093/524288, 1816187/1048576], [-2, -2], [2, 2], [2, 2]]]], [[4, 14, 3, 9, 5
], [v = -1, u = 3^(1/2), And(-3 < x,x < -1), x+3 < y, (y-x)^(1/2) < z], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-2, -2], [2, 2],
[3, 3]]]], [[4, 15, 8, 5, 1], [v = -1, 3^(1/2) < u, x = 1, And(0 < y,y < 1), 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 = 3, z < -2^(1/2)
], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [1, 1],
[3, 3], [-3, -3]]]], [[5, 4, 8, 6, 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, 6, 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, 6, 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, 6, 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, 3, 1, 1], [And(-1 < v,v < 0), u =
v, And(-1 < x,x < 0), y < x, z = z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/
2], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[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(x-u^2+v^2+1 < y,y
< u^2-v^2+x+1), z < -(y-x)^(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, 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(x-u^2+v^2+1 < y,y
< u^2-v^2+x+1), z = -(y-x)^(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, 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(x-u^2
+v^2+1 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(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, 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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), z = (y-x)^(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, 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(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), (y-x)^(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, 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(x-u^2+v^2+1 < y,y < x), z = z], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1815885/
1048576, -1815885/1048576], [-1029453/524288, -1029453/524288], [0, 0]]]], [[6
, 2, 1, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 2, 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], [-479311/1048576, -239655/
524288], [0, 0]]]], [[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 < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [239655/1048576, 239655/1048576], [2816117/
1048576, 1408059/524288], [-3, -3]]]], [[6, 9, 7, 8, 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], [2816117/1048576, 1408059/524288], [-410915/262144, -3287319/
2097152]]]], [[6, 9, 7, 8, 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
], [2816117/1048576, 1408059/524288], [-1/4194304, -1/4194304]]]], [[6, 9, 7,
8, 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], [2816117/1048576, 1408059/524288], [1643659/
1048576, 410915/262144]]]], [[6, 9, 7, 8, 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], [
2816117/1048576, 1408059/524288], [3, 3]]]], [[6, 11, 1, 4, 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, 4, 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, 4, 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, 10,
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+2 < y, z < -(y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144,
-343151/262144], [1, 1], [5, 5], [-3, -3]]]], [[7, 3, 10, 9, 2], [And(0 < v,v
< 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y, z = -(
y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [1
, 1], [5, 5], [-2, -2]]]], [[7, 3, 10, 9, 3], [And(0 < v,v < 1), And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y, 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, 9, 4], [And(0 < v,v < 1), And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y, z = (y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [1, 1], [5, 5],
[2, 2]]]], [[7, 3, 10, 9, 5], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(
v^2+1)^(1/2)), x = 1, u^2-v^2+2 < y, (y-1)^(1/2) < z], [regular_chain, [[1/2,
1/2], [-343151/262144, -343151/262144], [1, 1], [5, 5], [3, 3]]]], [[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(u
^2-v^2-1 < y,y < 0), z < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [
-1696631/2097152, -1696631/2097152], [-624419/1048576, -1248837/2097152], [-\
1248837/4194304, -1248837/4194304], [-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(u^2-v^2-1 < y,y < 0
), z = -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152,
-1696631/2097152], [-624419/1048576, -1248837/2097152], [-1248837/4194304, -\
1248837/4194304], [-1144335/2097152, -572167/1048576]]]], [[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(u^2-v^2-1
< y,y < 0), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)^(1/2))], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-624419/
1048576, -1248837/2097152], [-1248837/4194304, -1248837/4194304], [0, 0]]]], [
[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(u^2-v^2-1 < y,y < 0), z = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2
, 1/2], [-1696631/2097152, -1696631/2097152], [-624419/1048576, -1248837/
2097152], [-1248837/4194304, -1248837/4194304], [572167/1048576, 71521/131072]
]]], [[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(u^2-v^2-1 < y,y < 0), (y-u^2+v^2+1)^(1/2) < z], [regular_chain,
[[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-624419/1048576, -1248837/
2097152], [-1248837/4194304, -1248837/4194304], [2, 2]]]], [[8, 1, 5, 7, 1], [
v = 1, u < -3^(1/2), And(-1 < x,x < 0), And(0 < y,y < u^2+x), z < -(y-x)^(1/2)
], [regular_chain, [[1, 1], [-3, -3], [-1/2, -1/2], [17/4, 17/4], [-4, -4]]]],
[[8, 1, 5, 7, 2], [v = 1, u < -3^(1/2), And(-1 < x,x < 0), And(0 < y,y < u^2+x
), z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-1/2, -1/2], [17/4,
17/4], [-2285319/1048576, -1142659/524288]]]], [[8, 1, 5, 7, 3], [v = 1, u < -
3^(1/2), And(-1 < x,x < 0), And(0 < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-
x)^(1/2))], [regular_chain, [[1, 1], [-3, -3], [-1/2, -1/2], [17/4, 17/4], [0,
0]]]], [[8, 1, 5, 7, 4], [v = 1, u < -3^(1/2), And(-1 < x,x < 0), And(0 < y,y
< u^2+x), z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-1/2, -1/2], [
17/4, 17/4], [1142659/524288, 2285319/1048576]]]], [[8, 1, 5, 7, 5], [v = 1, u
< -3^(1/2), And(-1 < x,x < 0), And(0 < y,y < u^2+x), (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [-3, -3], [-1/2, -1/2], [17/4, 17/4], [4, 4]]]], [[8,
2, 7, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 7, 5, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 5, 1], [v = 1, u = 0, 1 < x, And
(x < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [0, 0], [2, 2], [
3, 3], [-2, -2]]]], [[8, 8, 9, 5, 2], [v = 1, u = 0, 1 < x, And(x < y,y < x+2)
, z = -(y-x)^(1/2)], [regular_chain, [[1, 1], [0, 0], [2, 2], [3, 3], [-1, -1]
]]], [[8, 8, 9, 5, 3], [v = 1, u = 0, 1 < x, And(x < y,y < x+2), And(-(y-x)^(1
/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [0, 0], [2, 2], [3, 3], [0
, 0]]]], [[8, 8, 9, 5, 4], [v = 1, u = 0, 1 < x, And(x < y,y < x+2), z = (y-x)
^(1/2)], [regular_chain, [[1, 1], [0, 0], [2, 2], [3, 3], [1, 1]]]], [[8, 8, 9
, 5, 5], [v = 1, u = 0, 1 < x, And(x < y,y < x+2), (y-x)^(1/2) < z], [
regular_chain, [[1, 1], [0, 0], [2, 2], [3, 3], [2, 2]]]], [[8, 14, 9, 6, 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, 6, 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, 6, 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, 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 < -(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, 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^2-1 < y,y < 0), 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, 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^2-1 < 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], [-3, -3]
, [-4478937/524288, -8957873/1048576], [-8957873/2097152, -8957873/2097152], [
0, 0]]]], [[9, 1, 2, 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^2-1 < y,y < 0), 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, 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^2-1 < y,y < 0), (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, 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(0 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
3213831/4194304, -3213831/4194304], [367677/1048576, 367677/1048576], [-3, -3]
]]], [[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(0 < y,y < u^2-v^2+x+1), z = -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [367677/1048576, 
367677/1048576], [-1108163/1048576, -554081/524288]]]], [[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(0 < y,y < u^2-v^2+x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [367677/1048576, 
367677/1048576], [0, 0]]]], [[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(0 < y,y < u^2-v^2+x+1)
, z = (y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/4194304], [
367677/1048576, 367677/1048576], [554081/524288, 1108163/1048576]]]], [[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(0 < y,y < u^2-v^2+x+1), (y-x)^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
3213831/4194304, -3213831/4194304], [367677/1048576, 367677/1048576], [3, 3]]]
], [[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], [-1196411/1048576, -598205/524288], [-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], [-1196411/1048576, -598205/524288], [-\
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], [-1196411/1048576, -598205/524288], [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], [-1196411/1048576, -598205/524288], [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], [-1196411/1048576, -\
598205/524288], [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 = x, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [2, 2], [2, 2], [-1, -1]]]], [[9, 9
, 11, 6, 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, 6, 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, 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 < -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], [1196409/2097152, 1196409/2097152
], [-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 < -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], [1196409/2097152, 1196409/
2097152], [-274877880697/274877906944, -8796092182303/8796093022208]]]], [[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 < -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], [1196409/2097152,
1196409/2097152], [-7548703/17592186044416, -7548703/17592186044416]]]], [[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 < -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], [1196409/2097152, 1196409/2097152], [1048575/
1048576, 1]]]], [[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 < -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], [1196409/2097152, 1196409/
2097152], [2, 2]]]], [[9, 16, 2, 3, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(
1/2), x = -3, And(-4 < y,y < -3), z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [121853/65536, 1949649/1048576], [-3, -3], [-7/2, -7/2], [0,
0]]]], [[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-u^2+3 < y,y < u^2+x-1
), z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [2, 2], [3, 3], [-2, -2]]]], [[10, 5, 11,
7, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), 1 < x, And(x-u^2+3 < y,y < u^2+
x-1), z = -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [2, 2], [3, 3], [-1, -1]]]], [[10, 5, 11,
7, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), 1 < x, And(x-u^2+3 < y,y < u^2+
x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288,
1482911/1048576], [-6598195/4194304, -6598195/4194304], [2, 2], [3, 3], [0, 0]
]]], [[10, 5, 11, 7, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), 1 < x, And(x-
u^2+3 < y,y < u^2+x-1), z = (y-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [2, 2], [3, 3], [1, 1]
]]], [[10, 5, 11, 7, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), 1 < x, And(x-
u^2+3 < y,y < u^2+x-1), (y-x)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [2, 2], [3, 3], [2, 2]
]]], [[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], [239655/524288, 479311/1048576], [
-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], [239655/524288, 479311/1048576],
[-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], [239655/524288, 479311/1048576], [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], [239655/524288, 479311/1048576], [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], [239655/524288, 479311/1048576],
[2, 2]]]], [[10, 11, 11, 6, 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, 6, 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, 6, 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, 5, 1], [v = 2^(1/2), And(1
< 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], [1265743/1048576, 1265743/
1048576], [-479311/1048576, -239655/524288], [569265/1048576, 569265/1048576],
[-2, -2]]]], [[10, 13, 6, 5, 2], [v = 2^(1/2), And(1 < u,u < v), x = -u^2+1, 
And(0 < y,y < -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], [569265/1048576, 569265/1048576], [-2199022958689/
2199023255552, -4398045917377/4398046511104]]]], [[10, 13, 6, 5, 3], [v = 2^(1
/2), And(1 < 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
], [1265743/1048576, 1265743/1048576], [-479311/1048576, -239655/524288], [
569265/1048576, 569265/1048576], [-3600577/8796093022208, -3600577/
8796093022208]]]], [[10, 13, 6, 5, 4], [v = 2^(1/2), And(1 < 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], [1265743/1048576, 1265743/1048576], [-479311/1048576
, -239655/524288], [569265/1048576, 569265/1048576], [1048575/1048576, 1]]]],
[[10, 13, 6, 5, 5], [v = 2^(1/2), And(1 < 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], [1265743/1048576, 1265743/1048576], [-479311/1048576, -239655/524288
], [569265/1048576, 569265/1048576], [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 = 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, 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 =
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, 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 = 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 < -1), z = z], [regular_chain, [[3, 3], [-22960369
/8388608, -22960369/8388608], [-1, -1], [-5260375/4194304, -5260375/4194304],
[0, 0]]]], [[11, 10, 6, 2, 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, 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
= -u^2+v^2+2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [1, 1], [197471/131072, 1579769/1048576], [-2, -2]]]],
[[11, 17, 10, 6, 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], [197471/131072, 1579769/1048576], [-373161/524288, -\
1492643/2097152]]]], [[11, 17, 10, 6, 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], [
197471/131072, 1579769/1048576], [-1/4194304, -1/4194304]]]], [[11, 17, 10, 6,
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], [197471/131072, 1579769/1048576], [746321/1048576, 373161/524288]]]], [[11
, 17, 10, 6, 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], [197471/131072, 1579769/1048576], [2, 2]]]], [[1, 2, 3, 3, 1
], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(x-1 < y,y < x),
z = z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-2, -\
2], [-5/2, -5/2], [0, 0]]]], [[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 < -(u
^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [129511/524288, 129511/524288], [1437109/524288, 2874219/1048576], [
-3, -3]]]], [[1, 3, 7, 8, 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], [1437109/524288, 2874219/1048576], [-1655969/1048576,
-3311937/2097152]]]], [[1, 3, 7, 8, 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], [1437109/524288, 
2874219/1048576], [-1/4194304, -1/4194304]]]], [[1, 3, 7, 8, 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], [1437109/524288, 
2874219/1048576], [51749/32768, 1655969/1048576]]]], [[1, 3, 7, 8, 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], [1437109/524288, 
2874219/1048576], [3, 3]]]], [[1, 8, 3, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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 < x-u^2+v^2+1), z
< -(y-x)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [395403/524288, 395403/524288], [4211799/2097152, 4211799/2097152],
[-3, -3]]]], [[1, 9, 9, 7, 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(x < y,y < x-u^2+v^2+1), z = -(y-x)^
(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, 7, 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(x < y,y < x-u^2+v^
2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [395403/524288, 395403/524288], [4211799
/2097152, 4211799/2097152], [0, 0]]]], [[1, 9, 9, 7, 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(x < y,y <
x-u^2+v^2+1), z = (y-x)^(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, 7, 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(x
< y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [395403/524288, 395403/524288], [4211799/2097152,
4211799/2097152], [3, 3]]]], [[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 = 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], [-266003/1048576, -133001/524288], [-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 = 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],
[-266003/1048576, -133001/524288], [-735979/1048576, -1471957/2097152]]]], [[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 = u^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], [-266003/1048576, -133001/524288], [-1/4194304, -1/
4194304]]]], [[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 = 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], [-266003/1048576, -133001/524288], [367989/524288, 735979/
1048576]]]], [[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 = 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], [-266003/1048576, -133001/524288], [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 < 0), z < -(u^2-v^2+y+1)^(1/2)], [regular_chain, [[-3, -3], [403851
/131072, 403851/131072], [-195745/131072, -1565959/1048576], [-33112529/
67108864, -33112529/67108864], [-3, -3]]]], [[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 < 0), z
= -(u^2-v^2+y+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-195745/131072, -1565959/1048576], [-33112529/67108864, -33112529/
67108864], [-1048577/1048576, -1]]]], [[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 < 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], [-33112529/
67108864, -33112529/67108864], [0, 0]]]], [[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 < 0), z
= (u^2-v^2+y+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-195745/131072, -1565959/1048576], [-33112529/67108864, -33112529/
67108864], [1, 1048577/1048576]]]], [[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 < 0), (u^2-v^2+y+
1)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-\
195745/131072, -1565959/1048576], [-33112529/67108864, -33112529/67108864], [3
, 3]]]], [[1, 21, 5, 3, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-1 < x,x < 0
), And(x-u^2+v^2+1 < y,y < x), z = z], [regular_chain, [[-3, -3], [5, 5], [-1/
2, -1/2], [-8, -8], [0, 0]]]], [[2, 1, 7, 8, 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, 8, 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, 8,
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, 8, 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, 8, 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, 2, 1], [v = -2^(1/2), u = 0, And(-1 < x,x < 0), y = x-1, z =
z], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1/2, -1/2],
[-3/2, -3/2], [0, 0]]]], [[2, 11, 9, 9, 1], [v = -2^(1/2), And(0 < u,u < 1), 
And(-u^2+1 < x,x < 1), x-u^2+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1/2, 1/2], [7/8, 7/8], [5, 5], [-4, -4]]]],
[[2, 11, 9, 9, 2], [v = -2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), x-u
^2+3 < y, z = -(y-x)^(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, 9, 3], [v = -2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), x
-u^2+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[-1482911
/1048576, -741455/524288], [1/2, 1/2], [7/8, 7/8], [5, 5], [0, 0]]]], [[2, 11,
9, 9, 4], [v = -2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), x-u^2+3 < y,
z = (y-x)^(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, 9, 5
], [v = -2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), x-u^2+3 < y, (y-x)^
(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [
7/8, 7/8], [5, 5], [4, 4]]]], [[2, 16, 6, 2, 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, 2, 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, 2, 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, 6, 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, 6, 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, 6, 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, 2, 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, 2, 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, 2, 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, 1, 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], [-1, -1], [0, 0]]]], [[3, 10, 6, 3, 1], [And(-2^(1/2
) < v,v < -1), u = (v^2-1)^(1/2), x = 0, And(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(u^2-v^2+x+1 < y,y < x-u^2+v^2+1), z < -(y-x)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576,
987341/1048576], [2, 2], [3, 3], [-2, -2]]]], [[3, 11, 11, 7, 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
-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [2, 2], [3, 3], [-1, -1]]]], [[3,
11, 11, 7, 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-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [2, 2], [3, 3], [0, 0]]]], [[3, 11, 11, 7, 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-u
^2+v^2+1), z = (y-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [2, 2], [3, 3], [1, 1]]]], [[3, 11
, 11, 7, 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-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [2, 2],
[3, 3], [2, 2]]]], [[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 = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-1, -1],
[-775271/524288, -1550541/1048576], [0, 0]]]], [[3, 16, 6, 5, 1], [And(-2^(1/2
) < v,v < -1), u = (v^2+2)^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 2], [And(-2^(1/2) <
v,v < -1), u = (v^2+2)^(1/2), x = 0, And(0 < y,y < 3), 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, 5, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 0, And(0 < y,y < 3
), 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, 5, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 0, 
And(0 < y,y < 3), 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, 5, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+2)
^(1/2), x = 0, And(0 < y,y < 3), 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, 3, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(0
< x,x < u^2-2), And(x-u^2+2 < 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, 6, 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, 6, 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, 6, 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, 6,
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, 6, 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, 5, 8, 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], [718965/1048576, 359483/524288], [-3, -3]]]], [[4, 11, 5, 8, 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], [718965/1048576, 359483/524288], [-1265743/1048576
, -1265743/1048576]]]], [[4, 11, 5, 8, 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], [
718965/1048576, 359483/524288], [0, 0]]]], [[4, 11, 5, 8, 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
], [718965/1048576, 359483/524288], [1265743/1048576, 1265743/1048576]]]], [[4
, 11, 5, 8, 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], [718965/1048576, 359483/524288], [3, 3]]]]
, [[4, 13, 1, 4, 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, 4, 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, 4, 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,
10, 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 < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [31/4
, 31/4], [19, 19], [-5, -5]]]], [[5, 1, 10, 7, 2], [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 = -(y-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3, -3], [31/4, 31/4], [19, 19], [-3517031/
1048576, -1758515/524288]]]], [[5, 1, 10, 7, 3], [And(-1 < v,v < 0), u < -(v^2
+2)^(1/2), x = u^2-v^2-1, 2*u^2-2*v^2 < y, And(-(y-u^2+v^2+1)^(1/2) < z,z < (y
-u^2+v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3, -3], [31/4, 31/4], [
19, 19], [0, 0]]]], [[5, 1, 10, 7, 4], [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 = (y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1
/2, -1/2], [-3, -3], [31/4, 31/4], [19, 19], [1758515/524288, 3517031/1048576]
]]], [[5, 1, 10, 7, 5], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = u^2-v^2-1,
2*u^2-2*v^2 < y, (y-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3,
-3], [31/4, 31/4], [19, 19], [5, 5]]]], [[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(-1 < y,y < 0), z < -(y
+1)^(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(-1 < y,y < 0), z = -(y+1)^
(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(-1
< y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y < 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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 = 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, 6, 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, 6, 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, 6, 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, 6, 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, 10, 2, 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, 5, 1, 7, 1], [v = 0, And(-1 < u,u <
0), x < -u^2-1, And(u^2+x+1 < y,y < 0), z < -(y-x)^(1/2)], [regular_chain, [[0
, 0], [-1/2, -1/2], [-3, -3], [-7/8, -7/8], [-3, -3]]]], [[6, 5, 1, 7, 2], [v
= 0, And(-1 < u,u < 0), x < -u^2-1, And(u^2+x+1 < y,y < 0), z = -(y-x)^(1/2)],
[regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [-7/8, -7/8], [-764275/524288
, -1528549/1048576]]]], [[6, 5, 1, 7, 3], [v = 0, And(-1 < u,u < 0), x < -u^2-\
1, And(u^2+x+1 < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [-7/8, -7/8], [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 < 0), z
= (y-x)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [-7/8, -7/8],
[1528549/1048576, 764275/524288]]]], [[6, 5, 1, 7, 5], [v = 0, And(-1 < u,u <
0), x < -u^2-1, And(u^2+x+1 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[0,
0], [-1/2, -1/2], [-3, -3], [-7/8, -7/8], [3, 3]]]], [[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 < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-43/8,
-43/8], [6, 6], [-5, -5]]]], [[7, 1, 3, 9, 2], [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 = -(y-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -43/8], [6, 6], [-884129/262144,
-3536515/1048576]]]], [[7, 1, 3, 9, 3], [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, And(-(y-x)^(1/2) < z,z < (y-x)^(1
/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -43/8], [6, 6], [0, 0]]]
], [[7, 1, 3, 9, 4], [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 = (y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3,
-3], [-43/8, -43/8], [6, 6], [3536515/1048576, 884129/262144]]]], [[7, 1, 3, 9
, 5], [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, (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -\
43/8], [6, 6], [5, 5]]]], [[7, 2, 6, 3, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1
/2), x = 0, And(-1 < y,y < 0), z = z], [regular_chain, [[1/2, 1/2], [-3/2, -3/
2], [0, 0], [-1/2, -1/2], [0, 0]]]], [[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 = 0, z < -(-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [0, 0], [-3, -3]]]], [[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 =
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, 6, 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, 6, 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, 6, 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
, 7, 5, 1], [And(0 < v,v < 1), u = v, 1 < x, And(x < y,y < x+1), z < -(y-x)^(1
/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [5/2, 5/2], [-2, -2]]]]
, [[7, 8, 7, 5, 2], [And(0 < v,v < 1), u = v, 1 < x, And(x < y,y < x+1), z = -
(y-x)^(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, 5, 3], [And(0 < v,v < 1), u =
v, 1 < x, And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [5/2, 5/2], [0, 0]]]], [[7, 8,
7, 5, 4], [And(0 < v,v < 1), u = v, 1 < x, And(x < y,y < x+1), z = (y-x)^(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, 5, 5], [And(0 < v,v < 1), u = v, 1 < x, 
And(x < y,y < x+1), (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1/2, 1/2],
[2, 2], [5/2, 5/2], [2, 2]]]], [[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 = 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], [3350503/1048576, 418813/131072],
[-3, -3]]]], [[7, 11, 9, 8, 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], [3350503/1048576, 418813/131072], [-3291611/2097152
, -1645805/1048576]]]], [[7, 11, 9, 8, 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], [3350503/
1048576, 418813/131072], [0, 0]]]], [[7, 11, 9, 8, 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], [3350503/1048576, 418813/131072]
, [1645805/1048576, 822903/524288]]]], [[7, 11, 9, 8, 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], [3350503/1048576, 418813/
131072], [3, 3]]]], [[7, 13, 2, 7, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x
= -u^2+v^2-1, 0 < y, 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, 7, 2], [And(0 < v,v <
1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, 0 < y, 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, 7, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u,
x = -u^2+v^2-1, 0 < y, 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, 7, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, 0 < y, 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, 7, 5], [And(0 < v,v < 1)
, (v^2+2)^(1/2) < u, x = -u^2+v^2-1, 0 < y, (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, 4,
2, 2, 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, 2, 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, 2, 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, 1, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = 0, y < 0, z = z], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [0, 0], [-1, -1]
, [0, 0]]]], [[8, 11, 11, 5, 1], [v = 1, And(1 < u,u < 2^(1/2)), 1 < x, And(x
< y,y < x-u^2+2), z < -(y-x)^(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(x < y,y < x-u^2+
2), z = -(y-x)^(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(x < y,y < x-u^2+2), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < x-u^2+2), z = (y-x)^(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(x < y,y < x-u^2+2), (y-x)^(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 = 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, 6, 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, 6, 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, 6, 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, 6, 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, 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), u^2-v^2+x+1 < y, z < -(y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [775271/1048576, 775271/1048576], [5, 5], [-4, -4]]]], [[9,
3, 9, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-v^2+x+1 < y, And(-
(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [775271/1048576, 775271/
1048576], [5, 5], [0, 0]]]], [[9, 3, 9, 9, 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), u^2-v^2+x+1 <
y, z = (y-x)^(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, 9, 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), u^2-v
^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [775271/1048576, 775271/
1048576], [5, 5], [4, 4]]]], [[9, 13, 4, 3, 1], [And(1 < v,v < 2^(1/2)), And(v
< u,u < (v^2+1)^(1/2)), x = -1, And(-1 < y,y < -u^2+v^2), z < -(y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-1, -1], [-384703/524288, -384703/524288], [-2, -2]]]], [[9, 13, 4,
3, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -1, And(-1 <
y,y < -u^2+v^2), z = -(y+1)^(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, 3, 3], [And
(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -1, And(-1 < y,y < -u^2
+v^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [-\
384703/524288, -384703/524288], [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(-1 < y,y < -u^2+v^2), z = (
y+1)^(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, 3, 5], [And(1 < v,v < 2^(1/2)), And(v
< u,u < (v^2+1)^(1/2)), x = -1, And(-1 < y,y < -u^2+v^2), (y+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-1, -1], [-384703/524288, -384703/524288], [2, 2]]]], [[9, 14, 7, 7
, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(0 < x,x < 1), x+2 < y, z
< -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659
/1048576, 410915/262144], [1/2, 1/2], [4, 4], [-3, -3]]]], [[9, 14, 7, 7, 2],
[And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(0 < x,x < 1), x+2 < y, z = -(y
-x)^(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, 7, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(0 < x
,x < 1), x+2 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [1/2, 1/2
], [4, 4], [0, 0]]]], [[9, 14, 7, 7, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^
(1/2), And(0 < x,x < 1), x+2 < y, z = (y-x)^(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, 7, 5], [And(1 < v,v < 2^(1
/2)), u = (v^2+1)^(1/2), And(0 < x,x < 1), x+2 < y, (y-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [1/2, 1/2], [4, 4], [3, 3]]]], [[10, 1, 9, 4, 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, 2, 5, 1],
[v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, And(-u^2+1 < y,y < 0), 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, 5, 2], [v = 2^(1/
2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, And(-u^2+1 < y,y < 0), 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, 5, 3], [v = 2
^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, And(-u^2+1 < y,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], [-2602619/2097152, -2602619/2097152], [0, 0]]]], [[10, 3, 2,
5, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, And(-u^2+1 < y,y <
0), 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, 5, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, And(-u^2+1 < y,y
< 0), (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, 4, 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, 4, 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, 4, 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, 10, 6, 3, 1], [v = 2^(1/2), u = 0, x = 0, And(-1 < y,y
< 0), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [0, 0
], [-1/2, -1/2], [0, 0]]]], [[10, 15, 4, 3, 1], [v = 2^(1/2), And(v < u,u < 3^
(1/2)), x = -1, And(-1 < y,y < -u^2+2), z < -(y+1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-1, -1],
[-773191/1048576, -773191/1048576], [-2, -2]]]], [[10, 15, 4, 3, 2], [v = 2^(1
/2), And(v < u,u < 3^(1/2)), x = -1, And(-1 < y,y < -u^2+2), z = -(y+1)^(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, 3, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)),
x = -1, And(-1 < y,y < -u^2+2), And(-(y+1)^(1/2) < z,z < (y+1)^(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, 3, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -1,
And(-1 < y,y < -u^2+2), z = (y+1)^(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, 3,
5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -1, And(-1 < y,y < -u^2+2), (y+1
)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-1, -1], [-773191/1048576, -773191/1048576], [2, 2
]]]], [[10, 16, 7, 7, 1], [v = 2^(1/2), u = 3^(1/2), And(0 < x,x < 1), x+2 < y
, z < -(y-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
908093/524288, 1816187/1048576], [1/2, 1/2], [4, 4], [-3, -3]]]], [[10, 16, 7,
7, 2], [v = 2^(1/2), u = 3^(1/2), And(0 < x,x < 1), x+2 < y, z = -(y-x)^(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, 7, 3], [v = 2^(1/2), u = 3^(1/2), And(0 < x,x < 1), x+2 < y, And(-(y-x)^(1/
2) < z,z < (y-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
908093/524288, 1816187/1048576], [1/2, 1/2], [4, 4], [0, 0]]]], [[10, 16, 7, 7
, 4], [v = 2^(1/2), u = 3^(1/2), And(0 < x,x < 1), x+2 < y, z = (y-x)^(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
, 7, 5], [v = 2^(1/2), u = 3^(1/2), And(0 < x,x < 1), x+2 < y, (y-x)^(1/2) < z
], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [1/2, 1/2], [4, 4], [3, 3]]]], [[10, 19, 6, 5, 1], [v = 2^(1/2), 2 <
u, x = 0, And(0 < y,y < u^2-1), z < -y^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [3, 3], [0, 0], [4, 4], [-3, -3]]]], [[10, 19, 6, 5, 2], [
v = 2^(1/2), 2 < u, x = 0, And(0 < y,y < u^2-1), z = -y^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [3, 3], [0, 0], [4, 4], [-2, -2]]]], [[10
, 19, 6, 5, 3], [v = 2^(1/2), 2 < u, x = 0, And(0 < y,y < u^2-1), 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, 5, 4], [v = 2^(1/2), 2 < u, x = 0, And
(0 < y,y < u^2-1), z = y^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [0, 0], [4, 4], [2, 2]]]], [[10, 19, 6, 5, 5], [v = 2^(1/2),
2 < u, x = 0, And(0 < y,y < u^2-1), y^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [0, 0], [4, 4], [3, 3]]]], [[11, 1, 8, 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, 8, 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, 8, 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, 5, 11, 6, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y
= x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [2, 2], [328543/131072, 2628345/1048576], [-2, -2]]]]
, [[11, 5, 11, 6, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y =
x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [2, 2], [328543/131072, 2628345/1048576], [-373161/
524288, -1492643/2097152]]]], [[11, 5, 11, 6, 3], [2^(1/2) < v, And(-(v^2+1)^(
1/2) < u,u < -v), 1 < x, y = x-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], [
2, 2], [328543/131072, 2628345/1048576], [-1/4194304, -1/4194304]]]], [[11, 5,
11, 6, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y = x-u^2+v^2+
1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [2, 2], [328543/131072, 2628345/1048576], [746321/1048576, 373161/
524288]]]], [[11, 5, 11, 6, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
1 < x, y = x-u^2+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [2, 2], [328543/131072, 2628345/1048576], [2,
2]]]], [[11, 7, 8, 3, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 0,
And(0 < y,y < u^2-v^2+1), z < -y^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [0, 0], [516571/2097152, 516571/2097152], [-2, -2]
]]], [[11, 7, 8, 3, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 0, 
And(0 < y,y < u^2-v^2+1), 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, 3, 3], [2^(1/2) < v, And(-v < u,u < -(
v^2-1)^(1/2)), x = 0, And(0 < 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], [
516571/2097152, 516571/2097152], [0, 0]]]], [[11, 7, 8, 3, 4], [2^(1/2) < v, 
And(-v < u,u < -(v^2-1)^(1/2)), x = 0, And(0 < y,y < u^2-v^2+1), 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, 3, 5]
, [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 0, And(0 < y,y < u^2-v^2+1
), y^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152]
, [0, 0], [516571/2097152, 516571/2097152], [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 <
-(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288
], [-1, -1], [395403/262144, 1581613/1048576], [-3, -3]]]], [[11, 13, 4, 8, 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], [395403/262144, 1581613/1048576], [-3321417/2097152, -\
415177/262144]]]], [[11, 13, 4, 8, 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], [395403/262144, 1581613/1048576], [0, 0]]]], [[11, 13, 4, 8, 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], [395403/262144, 1581613/1048576], [415177/262144, 1660709/1048576]]]],
[[11, 13, 4, 8, 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], [395403/262144, 1581613/1048576], [3, 3]]]
], [[11, 14, 8, 5, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 1, And(1 < y,y < 3
), z < -(y-1)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576
], [1, 1], [2, 2], [-2, -2]]]], [[11, 14, 8, 5, 2], [2^(1/2) < v, u = (v^2-1)^
(1/2), x = 1, And(1 < y,y < 3), z = -(y-1)^(1/2)], [regular_chain, [[3, 3], [
741455/262144, 2965821/1048576], [1, 1], [2, 2], [-1, -1]]]], [[11, 14, 8, 5,
3], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 1, And(1 < y,y < 3), 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, 5, 4], [2^(1/2) < v, u = (v^
2-1)^(1/2), x = 1, And(1 < y,y < 3), z = (y-1)^(1/2)], [regular_chain, [[3, 3]
, [741455/262144, 2965821/1048576], [1, 1], [2, 2], [1, 1]]]], [[11, 14, 8, 5,
5], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 1, And(1 < y,y < 3), (y-1)^(1/2) < z]
, [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [1, 1], [2, 2], [
2, 2]]]], [[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 = z], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [0, 0], [-129511/524288, -129511/524288], [
0, 0]]]], [[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(x-u^2+v^2+1 < y,y < 0), z < -(y-x)
^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-\
2614535/2097152, -2614535/2097152], [-1552149/4194304, -1552149/4194304], [-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(x-u^2+v^2+1 < y,y < 0), z = -(y-x)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-2614535/2097152,
-2614535/2097152], [-1552149/4194304, -1552149/4194304], [-7854203/8388608, -\
3927101/4194304]]]], [[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(x-u^2+v^2+1 < y,y < 0), And(-(y-x)^(1/2)
< z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [-2614535/2097152, -2614535/2097152], [-1552149/4194304, -1552149/
4194304], [-1/8388608, -1/8388608]]]], [[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(x-u^2+v^2+1 < y,y < 0
), z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [-2614535/2097152, -2614535/2097152], [-1552149/4194304, -1552149/
4194304], [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(x-u^2+v^2+1 < y
,y < 0), (y-x)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -403851
/131072], [-2614535/2097152, -2614535/2097152], [-1552149/4194304, -1552149/
4194304], [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 = z], [regular_chain, [
[-3, -3], [0, 0], [-11/2, -11/2], [-27/2, -27/2], [0, 0]]]], [[1, 12, 5, 5, 1]
, [v < -2^(1/2), u = (v^2-2)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z < -
(y-x)^(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(x < y,y < 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y
< 0), (y-x)^(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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y < 2), 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(0 < y,y
< 2), 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(x < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2
)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [2, 2], [
1702375/524288, 1702375/524288], [-3, -3]]]], [[1, 19, 11, 7, 2], [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 = -(y-x)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [2, 2], [1702375/524288, 1702375/524288], [-1170947/1048576, -585473
/524288]]]], [[1, 19, 11, 7, 3], [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), And(-(y-x)^(1/2) < z,z < (y-x)^
(1/2))], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [2, 2]
, [1702375/524288, 1702375/524288], [0, 0]]]], [[1, 19, 11, 7, 4], [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 = (y-x)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [2, 2], [1702375/524288, 1702375/524288], [585473/524288, 1170947/
1048576]]]], [[1, 19, 11, 7, 5], [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), (y-x)^(1/2) < z], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [2, 2], [1702375
/524288, 1702375/524288], [3, 3]]]], [[2, 3, 1, 3, 1], [v = -2^(1/2), And(-2 <
u,u < -3^(1/2)), x < -u^2+1, And(x-u^2+3 < y,y < x), z = z], [regular_chain, [
[-1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-4,
-4], [-8894075/2097152, -8894075/2097152], [0, 0]]]], [[2, 4, 4, 5, 1], [v = -
2^(1/2), u = -3^(1/2), x = -1, And(0 < y,y < 1), z < -(y+1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [1/2, 1/2], [-3, -3]]]], [[2, 4, 4, 5, 2], [v = -2
^(1/2), u = -3^(1/2), x = -1, And(0 < y,y < 1), z = -(y+1)^(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, 5, 3], [v = -2^(1/2), u = -3^(1/2), x = -1, And(0 < 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], [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
= (y+1)^(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, 5, 5], [v = -2^(1/2), u = -3^(1/2), x = -1, And(0 < y,
y < 1), (y+1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1816187/1048576, -3632373/2097152], [-1, -1], [1/2, 1/2], [3, 3]]]], [[2, 7,
7, 4, 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, 4, 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, 4, 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, 4, 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, 4, 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, 7, 1], [v = -2^(1/2), And(-1 < u,u < 0), x = u^2-3, 0 < y, z < -(y-u^2+3
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [
-11/4, -11/4], [1, 1], [-3, -3]]]], [[2, 9, 2, 7, 2], [v = -2^(1/2), And(-1 <
u,u < 0), x = u^2-3, 0 < y, z = -(y-u^2+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, 7, 3], [v = -2^(1/2), And(-1 < u,u
< 0), x = u^2-3, 0 < y, And(-(y-u^2+3)^(1/2) < z,z < (y-u^2+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, 7, 4], [v = -2^(1/2), 
And(-1 < u,u < 0), x = u^2-3, 0 < y, z = (y-u^2+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, 7, 5], [v = -2^(1/2), And(-1 <
u,u < 0), x = u^2-3, 0 < y, (y-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [-11/4, -11/4], [1, 1], [3, 3]]]], [[2
, 13, 5, 3, 1], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), And(
x < y,y < u^2+x-1), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -\
1527887/2097152], [-2097153/4194304, -2097153/4194304], [-2, -2]]]], [[2, 13,
5, 3, 2], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), And(x < y,
y < u^2+x-1), z = -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/
2097152], [-2097153/4194304, -2097153/4194304], [-31331/65536, -501295/1048576
]]]], [[2, 13, 5, 3, 3], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2
+1), And(x < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-1527887/2097152, -1527887/2097152], [-2097153/4194304, -2097153/
4194304], [0, 0]]]], [[2, 13, 5, 3, 4], [v = -2^(1/2), And(1 < u,u < -v), And(
-1 < x,x < -u^2+1), And(x < y,y < u^2+x-1), z = (y-x)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-\
1527887/2097152, -1527887/2097152], [-2097153/4194304, -2097153/4194304], [
501295/1048576, 31331/65536]]]], [[2, 13, 5, 3, 5], [v = -2^(1/2), And(1 < u,u
< -v), And(-1 < x,x < -u^2+1), And(x < y,y < u^2+x-1), (y-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-1527887/2097152, -1527887/2097152], [-2097153/4194304, -2097153/
4194304], [2, 2]]]], [[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], [-3982445/4194304, -15929779/16777216], [-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], [-\
3982445/4194304, -15929779/16777216], [-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], [-3982445/4194304, -15929779/16777216], [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], [-\
3982445/4194304, -15929779/16777216], [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], [-\
3982445/4194304, -15929779/16777216], [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(0 < y,y < x), 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 < x-u^2+v^2+1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [-6, -6], [0, 0]]]], [[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 =
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, 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 = 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, 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 = 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, 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 < -(y-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [-2576463/1048576, -1288231/524288], [-1288231/1048576, -\
1288231/1048576], [-3, -3]]]], [[3, 9, 2, 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^2-1 < y,y
< 0), z = -(y-u^2+v^2+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, 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^2-1 < y,y < 0), And(-(y-u^2+v^2+1)^(1/2) < z,z < (y-u^2+v^2+1)
^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-\
2576463/1048576, -1288231/524288], [-1288231/1048576, -1288231/1048576], [0, 0
]]]], [[3, 9, 2, 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^2-1 < y,y < 0), z = (y-u^2+v^2+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, 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^2-1 < y,y < 0),
(y-u^2+v^2+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, 2, 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, 5, 1], [v = -1
, u = -3^(1/2), x = -3, And(-3 < y,y < 0), z < -(y+3)^(1/2)], [regular_chain,
[[-1, -1], [-1816187/1048576, -3632373/2097152], [-3, -3], [-3/2, -3/2], [-3,
-3]]]], [[4, 2, 2, 5, 2], [v = -1, u = -3^(1/2), x = -3, And(-3 < y,y < 0), z
= -(y+3)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/
2097152], [-3, -3], [-3/2, -3/2], [-1284239/1048576, -642119/524288]]]], [[4,
2, 2, 5, 3], [v = -1, u = -3^(1/2), x = -3, And(-3 < y,y < 0), And(-(y+3)^(1/2
) < z,z < (y+3)^(1/2))], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [-3, -3], [-3/2, -3/2], [0, 0]]]], [[4, 2, 2, 5, 4], [v = -1
, u = -3^(1/2), x = -3, And(-3 < y,y < 0), z = (y+3)^(1/2)], [regular_chain, [
[-1, -1], [-1816187/1048576, -3632373/2097152], [-3, -3], [-3/2, -3/2], [
642119/524288, 1284239/1048576]]]], [[4, 2, 2, 5, 5], [v = -1, u = -3^(1/2), x
= -3, And(-3 < y,y < 0), (y+3)^(1/2) < z], [regular_chain, [[-1, -1], [-\
1816187/1048576, -3632373/2097152], [-3, -3], [-3/2, -3/2], [3, 3]]]], [[4, 6,
6, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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,
3, 1, 1], [v = -1, u = 0, And(-2 < x,x < -1), y < x, z = z], [regular_chain, [
[-1, -1], [0, 0], [-3/2, -3/2], [-3, -3], [0, 0]]]], [[4, 14, 3, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 8, 4, 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, 8, 7, 1],
[And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = 1, 3 < y, z < -(y-1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [1, 1], [4,
4], [-3, -3]]]], [[5, 4, 8, 7, 2], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x =
1, 3 < y, 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, 7, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = 1, 3 < y, 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, 7,
4], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = 1, 3 < y, 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, 7, 5], [And(-1 < v,v < 0),
u = -(v^2+1)^(1/2), x = 1, 3 < y, (y-1)^(1/2) < z], [regular_chain, [[-1/2, -1
/2], [-146543/131072, -1172343/1048576], [1, 1], [4, 4], [3, 3]]]], [[5, 6, 3,
2, 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, 2, 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, 2, 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, 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 = x-u^2+v^2+1, z < -(-u^2+v^2+1)^(1/2)
], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-\
1248837/4194304, -1248837/4194304], [312209/1048576, 156105/524288], [-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 = x-u^2+v^2+1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain
, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1248837/4194304, -\
1248837/4194304], [312209/1048576, 156105/524288], [-1618333/2097152, -3236665
/4194304]]]], [[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 = x-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], [-1248837/4194304, -1248837/4194304], [312209/1048576, 
156105/524288], [-1/8388608, -1/8388608]]]], [[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 = x-u^2+v^2+1,
z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-1248837/4194304, -1248837/4194304], [312209/1048576, 
156105/524288], [404583/524288, 809167/1048576]]]], [[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 = x-u^2
+v^2+1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-1248837/4194304, -1248837/4194304], [312209/
1048576, 156105/524288], [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 = x-u^2+v
^2+1, z = z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [
-1815885/1048576, -1815885/1048576], [-287741/131072, -2301927/1048576], [0, 0
]]]], [[6, 2, 1, 7, 1], [v = 0, u = -2^(1/2), x < -3, And(x+3 < y,y < 0), z <
-(y-x)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-\
4, -4], [-1/2, -1/2], [-3, -3]]]], [[6, 2, 1, 7, 2], [v = 0, u = -2^(1/2), x <
-3, And(x+3 < y,y < 0), z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [-1482911/
1048576, -741455/524288], [-4, -4], [-1/2, -1/2], [-7846825/4194304, -980853/
524288]]]], [[6, 2, 1, 7, 3], [v = 0, u = -2^(1/2), x < -3, And(x+3 < y,y < 0)
, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [-1482911/
1048576, -741455/524288], [-4, -4], [-1/2, -1/2], [0, 0]]]], [[6, 2, 1, 7, 4],
[v = 0, u = -2^(1/2), x < -3, And(x+3 < y,y < 0), z = (y-x)^(1/2)], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-4, -4], [-1/2, -\
1/2], [980853/524288, 1961707/1048576]]]], [[6, 2, 1, 7, 5], [v = 0, u = -2^(1
/2), x < -3, And(x+3 < y,y < 0), (y-x)^(1/2) < z], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [-4, -4], [-1/2, -1/2], [3, 3]]]], [[6, 3, 6
, 3, 1], [v = 0, And(-2^(1/2) < u,u < -1), x = 0, And(-u^2+1 < y,y < 0), z = z
], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [0, 0], [-\
239655/1048576, -239655/1048576], [0, 0]]]], [[6, 9, 7, 7, 1], [v = 0, And(1 <
u,u < 2^(1/2)), And(0 < x,x < u^2-1), And(x < y,y < u^2+x+1), z < -(y-x)^(1/2)
], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [239655/
1048576, 239655/1048576], [763943/524288, 763943/524288], [-3, -3]]]], [[6, 9,
7, 7, 2], [v = 0, And(1 < u,u < 2^(1/2)), And(0 < x,x < u^2-1), And(x < y,y <
u^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [239655/1048576, 239655/1048576], [763943/524288, 763943/
524288], [-1162243/1048576, -581121/524288]]]], [[6, 9, 7, 7, 3], [v = 0, And(
1 < u,u < 2^(1/2)), And(0 < x,x < u^2-1), And(x < y,y < u^2+x+1), And(-(y-x)^(
1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[0, 0], [1265743/1048576, 1265743
/1048576], [239655/1048576, 239655/1048576], [763943/524288, 763943/524288], [
0, 0]]]], [[6, 9, 7, 7, 4], [v = 0, And(1 < u,u < 2^(1/2)), And(0 < x,x < u^2-\
1), And(x < y,y < u^2+x+1), z = (y-x)^(1/2)], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [239655/1048576, 239655/1048576], [763943/
524288, 763943/524288], [581121/524288, 1162243/1048576]]]], [[6, 9, 7, 7, 5],
[v = 0, And(1 < u,u < 2^(1/2)), And(0 < x,x < u^2-1), And(x < y,y < u^2+x+1),
(y-x)^(1/2) < z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576],
[239655/1048576, 239655/1048576], [763943/524288, 763943/524288], [3, 3]]]], [
[6, 11, 1, 3, 1], [v = 0, 2^(1/2) < u, x < -u^2-1, And(x-u^2+1 < y,y < x), z =
z], [regular_chain, [[0, 0], [3, 3], [-11, -11], [-15, -15], [0, 0]]]], [[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 < 0, z = z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [2, 2], [-1, -1], [0, 0]]]], [[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, z < u], [regular_chain, [[1, 1], [-3, -3], [-1/2, -1/2],
[17/2, 17/2], [-4, -4]]]], [[8, 1, 5, 8, 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, 8, 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, 8, 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, 8, 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, 9, 1], [v = 1, u = -3^(1/2), And(0 < x,x <
1), x+3 < y, z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [1/2, 1/2], [5, 5], [-4, -4]]]], [[8, 2, 7, 9, 2], [v = 1, u
= -3^(1/2), And(0 < x,x < 1), x+3 < y, z = -(y-x)^(1/2)], [regular_chain, [[1,
1], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [5, 5], [-1112183/524288
, -2224365/1048576]]]], [[8, 2, 7, 9, 3], [v = 1, u = -3^(1/2), And(0 < x,x <
1), x+3 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1],
[-1816187/1048576, -3632373/2097152], [1/2, 1/2], [5, 5], [0, 0]]]], [[8, 2, 7
, 9, 4], [v = 1, u = -3^(1/2), And(0 < x,x < 1), x+3 < y, z = (y-x)^(1/2)], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [5,
5], [2224365/1048576, 1112183/524288]]]], [[8, 2, 7, 9, 5], [v = 1, u = -3^(1/
2), And(0 < x,x < 1), x+3 < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [1/2, 1/2], [5, 5], [4, 4]]]], [[8, 7, 5,
5, 1], [v = 1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(u^2+x < y,y < 0),
z < -(y-x)^(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(u^2+x < y,y < 0), z = -(y-x)^(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(u^2+
x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(u^2+x < y,y
< 0), z = (y-x)^(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(u^2+x < y,y < 0), (y-x)^(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(x < y,y < x+3), z < -(y-x)^(1/2)], [regular_chain, [[1, 1], [908093/
524288, 1816187/1048576], [2, 2], [7/2, 7/2], [-3, -3]]]], [[8, 14, 9, 7, 2],
[v = 1, u = 3^(1/2), 1 < x, And(x < y,y < x+3), z = -(y-x)^(1/2)], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [2, 2], [7/2, 7/2],
[-1284239/1048576, -642119/524288]]]], [[8, 14, 9, 7, 3], [v = 1, u = 3^(1/2),
1 < x, And(x < y,y < x+3), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [2, 2], [7/2, 7/2],
[0, 0]]]], [[8, 14, 9, 7, 4], [v = 1, u = 3^(1/2), 1 < x, And(x < y,y < x+3),
z = (y-x)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [
2, 2], [7/2, 7/2], [642119/524288, 1284239/1048576]]]], [[8, 14, 9, 7, 5], [v
= 1, u = 3^(1/2), 1 < x, And(x < y,y < x+3), (y-x)^(1/2) < z], [regular_chain,
[[1, 1], [908093/524288, 1816187/1048576], [2, 2], [7/2, 7/2], [3, 3]]]], [[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 =
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, 6, 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, 6, 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, 6
, 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, 6, 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, 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 = 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, 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 = 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, 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 = 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,
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 = 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, 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
= 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, 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(u^2-v^2-1 < y,y < 2*u^2-2*v^2), z < -(y-u^2+v^2
+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, 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(u^2-v^2-1 < y,y < 2*u^2-\
2*v^2), z = -(y-u^2+v^2+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, 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(u^2-v^2-1 < y,y < 2*u^2-2*v^2), And(-(y-u^2+v^2+1)^(1/2) <
z,z < (y-u^2+v^2+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, 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(u^2-v^2
-1 < y,y < 2*u^2-2*v^2), z = (y-u^2+v^2+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, 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(u^2-v^2-1 < y,y < 2*u^2-2*v^2), (y-u^2+v^2+
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, 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(x < y,y < x-u^2+v^2+1)
, z < -(y-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0,
0], [2, 2], [3385383/1048576, 3385383/1048576], [-3, -3]]]], [[9, 9, 11, 7, 2]
, [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 < x-u^2+v^2+1), z = -(y-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [2, 2], [3385383/1048576, 3385383/1048576],
[-1162243/1048576, -581121/524288]]]], [[9, 9, 11, 7, 3], [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 < x-u^2+v^2
+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1265743/1048576
, 1265743/1048576], [0, 0], [2, 2], [3385383/1048576, 3385383/1048576], [0, 0]
]]], [[9, 9, 11, 7, 4], [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 < x-u^2+v^2+1), z = (y-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [2, 2], [3385383/
1048576, 3385383/1048576], [581121/524288, 1162243/1048576]]]], [[9, 9, 11, 7,
5], [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 < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [2, 2], [3385383/1048576, 3385383/1048576],
[3, 3]]]], [[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 = -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], [1196409/1048576, 598205/524288],
[-3, -3]]]], [[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 = -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], [1196409/1048576, 598205/524288],
[-1314069/1048576, -328517/262144]]]], [[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 = -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], [1196409/1048576, 598205/524288], [0, 0]]]], [[9, 11, 6, 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 = -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],
[1196409/1048576, 598205/524288], [328517/262144, 1314069/1048576]]]], [[9, 11
, 6, 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 = -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], [1196409/1048576, 598205/524288], [3, 3]]]], [[9, 16, 2, 2,
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, 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 = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [0, 0], [-6860721/
2097152, -6860721/2097152], [0, 0]]]], [[10, 5, 11, 8, 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
], [1821767/524288, 3643535/1048576], [-3, -3]]]], [[10, 5, 11, 8, 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], [1821767/524288, 3643535/1048576], [-636691/524288, -1273381
/1048576]]]], [[10, 5, 11, 8, 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],
[1821767/524288, 3643535/1048576], [0, 0]]]], [[10, 5, 11, 8, 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], [1821767/524288, 3643535/1048576], [1273381/1048576, 636691/
524288]]]], [[10, 5, 11, 8, 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], [1821767/524288, 
3643535/1048576], [3, 3]]]], [[10, 7, 8, 5, 1], [v = 2^(1/2), And(-v < u,u < -\
1), x = 0, And(u^2-1 < y,y < -u^2+3), z < -y^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [1, 1]
, [-2, -2]]]], [[10, 7, 8, 5, 2], [v = 2^(1/2), And(-v < u,u < -1), x = 0, And
(u^2-1 < y,y < -u^2+3), z = -y^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [1, 1], [-1, -\
1]]]], [[10, 7, 8, 5, 3], [v = 2^(1/2), And(-v < u,u < -1), 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], [-1265743/1048576, -1265743/1048576], [0, 0], [1, 1], [0,
0]]]], [[10, 7, 8, 5, 4], [v = 2^(1/2), And(-v < u,u < -1), x = 0, And(u^2-1 <
y,y < -u^2+3), z = y^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [-1265743/1048576, -1265743/1048576], [0, 0], [1, 1], [1, 1]]]], [[10, 7, 8,
5, 5], [v = 2^(1/2), And(-v < u,u < -1), x = 0, And(u^2-1 < y,y < -u^2+3), y^(
1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [0, 0], [1, 1], [2, 2]]]], [[10, 11, 11, 5, 1], [v
= 2^(1/2), And(0 < u,u < 1), 1 < x, And(u^2+x-1 < y,y < x), 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 < 0), 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, 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^2-1 < y,y < 0), 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, 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^2-1 < 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], [-3396811/
1048576, -3396811/1048576], [-2615197/1048576, -653799/262144], [-653799/
524288, -653799/524288], [0, 0]]]], [[11, 3, 2, 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^2-1 < y,y < 0),
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, 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^2-1 < y,y <
0), (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, 5, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(
-1 < x,x < 0), And(0 < y,y < x+2), z < -(y-x)^(1/2)], [regular_chain, [[3, 3],
[-3315889/1048576, -207243/65536], [-1/2, -1/2], [3/4, 3/4], [-3, -3]]]], [[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+2), z = -(y-x)^(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, 5, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(
0 < y,y < x+2), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3
], [-3315889/1048576, -207243/65536], [-1/2, -1/2], [3/4, 3/4], [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+2), z = (y-x)^(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, 5, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(0
< y,y < x+2), (y-x)^(1/2) < z], [regular_chain, [[3, 3], [-3315889/1048576, -\
207243/65536], [-1/2, -1/2], [3/4, 3/4], [3, 3]]]], [[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 = -1, z < 0], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1, -1], [-1,
-1], [-1, -1]]]], [[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 = -1, z = 0], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [-1, -1], [-1, -1], [0, 0]]]], [[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 = -1, 0 <
z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1, -1],
[-1, -1], [1, 1]]]], [[11, 10, 6, 3, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x =
0, And(-1 < y,y < 0), z = z], [regular_chain, [[3, 3], [-5548543/2097152, -\
2774271/1048576], [0, 0], [-1/2, -1/2], [0, 0]]]], [[11, 16, 3, 3, 1], [2^(1/2
) < v, u = v, And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z = -(
y-x)^(1/2)], [regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [-1/4, -1/4], [-1/
2, -1/2]]]], [[11, 16, 3, 3, 3], [2^(1/2) < v, u = v, And(-1 < x,x < 0), And(x
< y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [
3, 3], [-1/2, -1/2], [-1/4, -1/4], [0, 0]]]], [[11, 16, 3, 3, 4], [2^(1/2) < v
, u = v, And(-1 < x,x < 0), And(x < y,y < 0), z = (y-x)^(1/2)], [regular_chain
, [[3, 3], [3, 3], [-1/2, -1/2], [-1/4, -1/4], [1/2, 1/2]]]], [[11, 16, 3, 3,
5], [2^(1/2) < v, u = v, And(-1 < x,x < 0), And(x < y,y < 0), (y-x)^(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(1 < y,
y < -u^2+v^2+2), z < -(y-1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [1, 1], [328543/262144, 328543/262144], [-2, -2]]]], [[11, 17,
10, 5, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 1, And(1 < y,y < -u
^2+v^2+2), z = -(y-1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [1, 1], [328543/262144, 328543/262144], [-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(1 < 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], [328543/262144
, 328543/262144], [-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(1 < y,y < -u^2+v^2+2), z = (y-1)^(
1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [1, 1], [
328543/262144, 328543/262144], [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(1 < y,y < -u^2+v
^2+2), (y-1)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [1, 1], [328543/262144, 328543/262144], [2, 2]]]], [[1, 2, 3, 4, 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, 4, 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, 4, 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, 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 < -(y-x)^(1/2)], [regular_chain, [[-\
3, -3], [-3396811/1048576, -3396811/1048576], [129511/524288, 129511/524288],
[4, 4], [-3, -3]]]], [[1, 3, 7, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(1/2)
], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [129511/
524288, 129511/524288], [4, 4], [-8125459/4194304, -16250917/8388608]]]], [[1,
3, 7, 9, 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), u^2-v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [129511/524288
, 129511/524288], [4, 4], [-5/16777216, -5/16777216]]]], [[1, 3, 7, 9, 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), u^2-v^2+x+1 < y, z = (y-x)^(1/2)], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [129511/524288, 129511/524288], [4, 4], [507841/
262144, 2031365/1048576]]]], [[1, 3, 7, 9, 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), u^2-v^2+x+1 < y, (y-x)^(
1/2) < z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [
129511/524288, 129511/524288], [4, 4], [3, 3]]]], [[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+2), z < -(y-x)^(1
/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3/2,
-3/2], [1/4, 1/4], [-3, -3]]]], [[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+2), z = -(y-x)^(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, 5, 3], [v < -2^(1/2
), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2), And(-(y-x)^(1/2
) < z,z < (y-x)^(1/2))], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [-3/2, -3/2], [1/4, 1/4], [0, 0]]]], [[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+2), z = (y-x
)^(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, 5, 5], [v
< -2^(1/2), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < x+2), (y-x)^
(1/2) < z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304],
[-3/2, -3/2], [1/4, 1/4], [3, 3]]]], [[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 = x, z < 0],
[regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [395403/
524288, 395403/524288], [395403/524288, 395403/524288], [-1, -1]]]], [[1, 9, 9
, 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], [395403/524288, 395403/524288], [395403/524288, 395403/
524288], [0, 0]]]], [[1, 9, 9, 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], [395403/524288, 395403/
524288], [395403/524288, 395403/524288], [1, 1]]]], [[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(u^2-v^2
+x+1 < y,y < 0), z < -(y-x)^(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(u^2-v^2+x+1 < y,y < 0), z =
-(y-x)^(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(u^2-v^2+x+1 < y,y < 0), And(
-(y-x)^(1/2) < z,z < (y-x)^(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(u^2-v^2+x+1
< y,y < 0), z = (y-x)^(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(u^2-v^2+x+1 <
y,y < 0), (y-x)^(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 = 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, 6, 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, 6, 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, 6, 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, 6, 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, 21
, 5, 2, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = x-u^2+v^2
+1, z = z], [regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2], [-31/2, -31/2], [
0, 0]]]], [[2, 1, 7, 7, 1], [v = -2^(1/2), u < -2, And(0 < x,x < 1), And(x < y
,y < u^2+x-1), z < -(y-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [1/2, 1/2], [9/2, 9/2], [-3, -3]]]], [[2, 1, 7, 7, 2], [v =
-2^(1/2), u < -2, And(0 < x,x < 1), And(x < y,y < u^2+x-1), z = -(y-x)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [1/2, 1/2], [9/
2, 9/2], [-2, -2]]]], [[2, 1, 7, 7, 3], [v = -2^(1/2), u < -2, And(0 < x,x < 1
), And(x < y,y < u^2+x-1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [1/2, 1/2], [9/2
, 9/2], [0, 0]]]], [[2, 1, 7, 7, 4], [v = -2^(1/2), u < -2, And(0 < x,x < 1),
And(x < y,y < u^2+x-1), z = (y-x)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-3, -3], [1/2, 1/2], [9/2, 9/2], [2, 2]]]], [[2, 1, 7, 7, 5]
, [v = -2^(1/2), u < -2, And(0 < x,x < 1), And(x < y,y < u^2+x-1), (y-x)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [1/2, 1/2
], [9/2, 9/2], [3, 3]]]], [[2, 10, 5, 3, 1], [v = -2^(1/2), u = 0, And(-1 < x,
x < 0), And(x-1 < y,y < x), z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [0, 0], [-1/2, -1/2], [-1, -1], [0, 0]]]], [[2, 11, 10, 1, 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], [-1, -1], [0, 0]]]], [[2
, 16, 6, 1, 1], [v = -2^(1/2), u = 3^(1/2), x = 0, y < 0, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [0, 0], [-1, -1], [0, 0]]]], [[2, 17, 11, 5, 1], [v = -2^(1/2), And(
3^(1/2) < u,u < 2), 1 < x, And(x-u^2+3 < y,y < x), 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 < -(y+1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-1, -1], [-1/2, -1/2], [-2, -2]]]], [[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 = -(y+1
)^(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, 3, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2),
x = -1, And(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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 = (y+1)^(
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, 3, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -1, And(-1
< y,y < 0), (y+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-410915/262144, -3287319/2097152], [-1, -1], [-1/2, -1/2], [2, 2]]]
], [[3, 5, 10, 2, 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, 6, 2
, 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, 2, 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, 2, 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, 6, 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], [2547523/1048576, 636881/
262144], [-2, -2]]]], [[3, 11, 11, 6, 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], [2547523/1048576, 636881/262144], [-1374407/2097152, -687203
/1048576]]]], [[3, 11, 11, 6, 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], [2547523/1048576, 636881/262144], [0, 0]]]],
[[3, 11, 11, 6, 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], [2547523
/1048576, 636881/262144], [687203/1048576, 171801/262144]]]], [[3, 11, 11, 6,
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], [2547523/1048576, 636881/
262144], [2, 2]]]], [[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 = z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-1, -1],
[-3, -3], [0, 0]]]], [[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 = 0, z = z], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [248903/1048576, 248903/1048576], [0, 0], [0, 0]]]
], [[4, 5, 2, 7, 1], [v = -1, And(-2^(1/2) < u,u < -1), x = -u^2, 0 < y, 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, 7, 2],
[v = -1, And(-2^(1/2) < u,u < -1), x = -u^2, 0 < y, 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, 7, 3], [v = -1, And(-2^(1/2) < u,u < -1), x = -u^2, 0 < y, 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, 7, 4], [v = -1, And(-2^(1/2) < u,u < -1), x = -u^2, 0
< y, 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, 7, 5], [v = -1, And(-2^(1/2) < u,u < -1), x =
-u^2, 0 < y, (u^2+y)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576,
-1265743/1048576], [-1527887/1048576, -763943/524288], [1, 1], [3, 3]]]], [[4,
11, 5, 7, 1], [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), And(0 <
y,y < u^2+x), z < -(y-x)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576,
1265743/1048576], [-3235683/4194304, -3235683/4194304], [718965/2097152, 
718965/2097152], [-3, -3]]]], [[4, 11, 5, 7, 2], [v = -1, And(1 < u,u < 2^(1/2
)), And(-1 < x,x < u^2-2), And(0 < y,y < u^2+x), z = -(y-x)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3235683/
4194304, -3235683/4194304], [718965/2097152, 718965/2097152], [-553435/524288,
-1106869/1048576]]]], [[4, 11, 5, 7, 3], [v = -1, And(1 < u,u < 2^(1/2)), And(
-1 < x,x < u^2-2), And(0 < y,y < u^2+x), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))
], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3235683/
4194304, -3235683/4194304], [718965/2097152, 718965/2097152], [0, 0]]]], [[4,
11, 5, 7, 4], [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), And(0 <
y,y < u^2+x), z = (y-x)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 
1265743/1048576], [-3235683/4194304, -3235683/4194304], [718965/2097152, 
718965/2097152], [1106869/1048576, 553435/524288]]]], [[4, 11, 5, 7, 5], [v =
-1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), And(0 < y,y < u^2+x), (y-x)
^(1/2) < z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-\
3235683/4194304, -3235683/4194304], [718965/2097152, 718965/2097152], [3, 3]]]
], [[4, 13, 1, 3, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, And(x-u
^2+2 < y,y < x), z = z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [-4, -4], [-8886413/2097152, -8886413/2097152], [0, 0]]]], [[5, 1, 
11, 1, 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], [-1, -1], [0, 0]]]], [[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 = 0, z < -1], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/
262144], [-1, -1], [0, 0], [-2, -2]]]], [[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 = 0, z = -1], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1, -1], [0,
0], [-1, -1]]]], [[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 = 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, 6, 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, 6, 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, 5, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-\
1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^(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(x < y,y < 0), z =
-(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 < 0, z = z], [regular_chain, [[-1/2, -1/2], [3, 3], [31/4, 31/4], [-1,
-1], [0, 0]]]], [[6, 5, 1, 8, 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, 8, 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, 8, 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, 8, 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, 8, 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, 5, 5, 1], [v = 0, u = 0, And(0 < x,x < 1), And(x < y,y <
x+1), z < -(y-x)^(1/2)], [regular_chain, [[0, 0], [0, 0], [1/2, 1/2], [1, 1],
[-2, -2]]]], [[6, 6, 5, 5, 2], [v = 0, u = 0, And(0 < x,x < 1), And(x < y,y <
x+1), z = -(y-x)^(1/2)], [regular_chain, [[0, 0], [0, 0], [1/2, 1/2], [1, 1],
[-1482911/2097152, -741455/1048576]]]], [[6, 6, 5, 5, 3], [v = 0, u = 0, And(0
< x,x < 1), And(x < y,y < x+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[0, 0], [0, 0], [1/2, 1/2], [1, 1], [0, 0]]]], [[6, 6, 5, 5, 4
], [v = 0, u = 0, And(0 < x,x < 1), And(x < y,y < x+1), z = (y-x)^(1/2)], [
regular_chain, [[0, 0], [0, 0], [1/2, 1/2], [1, 1], [741455/1048576, 46341/
65536]]]], [[6, 6, 5, 5, 5], [v = 0, u = 0, And(0 < x,x < 1), And(x < y,y < x+
1), (y-x)^(1/2) < z], [regular_chain, [[0, 0], [0, 0], [1/2, 1/2], [1, 1], [2,
2]]]], [[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 < -(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, 8, 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, 8, 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, 8, 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, 8, 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, 6, 2, 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, 3, 7, 1], [And(0 < v,v < 1), And(-v < u,u
< v), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < x-u^2+v^2+1), z < -(y-x)^(1/2)]
, [regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [1/16, 1/16], [-3, -3]]]]
, [[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(0 < y,y < x-u^2+v^2+1), z = -(y-x)^(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, 7, 3], [And(0 < v,v < 1), And(-v < u,u < v), And(u^2-v^2-1 < x,x
< -1), And(0 < y,y < x-u^2+v^2+1), And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [1/16, 1/16], [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(0 < y,y < x-u^2+v^2+1), z = (y-x)^(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, 7, 5], [And(0 < v,v < 1), And(-v < u,u < v), And(u^2-v^2-1 < x,x < -1), 
And(0 < y,y < x-u^2+v^2+1), (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0,
0], [-9/8, -9/8], [1/16, 1/16], [3, 3]]]], [[7, 8, 7, 6, 1], [And(0 < v,v < 1)
, u = v, 1 < x, y = x+1, z < -1], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [2,
2], [3, 3], [-2, -2]]]], [[7, 8, 7, 6, 2], [And(0 < v,v < 1), u = v, 1 < x, y
= x+1, z = -1], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [3, 3], [-1,
-1]]]], [[7, 8, 7, 6, 3], [And(0 < v,v < 1), u = v, 1 < x, y = x+1, And(-1 < z
,z < 1)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [3, 3], [0, 0]]]],
[[7, 8, 7, 6, 4], [And(0 < v,v < 1), u = v, 1 < x, y = x+1, z = 1], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [3, 3], [1, 1]]]], [[7, 8, 7,
6, 5], [And(0 < v,v < 1), u = v, 1 < x, y = x+1, 1 < z], [regular_chain, [[1/2
, 1/2], [1/2, 1/2], [2, 2], [3, 3], [2, 2]]]], [[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), u^2-
v^2+x+1 < y, z < -(y-x)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 
343151/262144], [1534619/2097152, 1534619/2097152], [5, 5], [-4, -4]]]], [[7,
11, 9, 9, 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), u^2-v^2+x+1 < y, z = -(y-x)^(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, 9, 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), u^2-
v^2+x+1 < y, And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1/2, 1/
2], [343151/262144, 343151/262144], [1534619/2097152, 1534619/2097152], [5, 5]
, [0, 0]]]], [[7, 11, 9, 9, 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), u^2-v^2+x+1 < y, z = (y-x)^(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, 9,
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), u^2-v^2+x+1 < y, (y-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
343151/262144, 343151/262144], [1534619/2097152, 1534619/2097152], [5, 5], [4,
4]]]], [[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 < x-u^2+v^2+1, z = z], [regular_chain, [[1/2, 1/2], [3, 3], [-\
43/8, -43/8], [-15, -15], [0, 0]]]], [[8, 4, 2, 1, 1], [v = 1, u = -2^(1/2), x
= -2, y < -2, z = z], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [-2, -2], [-3, -3], [0, 0]]]], [[8, 5, 7, 9, 1], [v = 1, And(-2^(1/2)
< u,u < -1), And(u^2-2 < x,x < 0), u^2+x < y, z < -(y-x)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-569265/2097152
, -569265/2097152], [3, 3], [-3, -3]]]], [[8, 5, 7, 9, 2], [v = 1, And(-2^(1/2
) < u,u < -1), And(u^2-2 < x,x < 0), u^2+x < y, z = -(y-x)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-569265/2097152
, -569265/2097152], [3, 3], [-7586297/4194304, -948287/524288]]]], [[8, 5, 7,
9, 3], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), u^2+x < y, And(
-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[1, 1], [-1265743/1048576
, -1265743/1048576], [-569265/2097152, -569265/2097152], [3, 3], [0, 0]]]], [[
8, 5, 7, 9, 4], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), u^2+x
< y, z = (y-x)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-569265/2097152, -569265/2097152], [3, 3], [948287/524288, 1896575/
1048576]]]], [[8, 5, 7, 9, 5], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x
,x < 0), u^2+x < y, (y-x)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-569265/2097152, -569265/2097152], [3, 3], [3, 3]
]]], [[8, 11, 11, 6, 1], [v = 1, And(1 < u,u < 2^(1/2)), 1 < x, y = x-u^2+2, z
< -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576
], [2, 2], [2666417/1048576, 1333209/524288], [-2, -2]]]], [[8, 11, 11, 6, 2],
[v = 1, And(1 < u,u < 2^(1/2)), 1 < x, y = x-u^2+2, z = -(-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [2, 2], [2666417/
1048576, 1333209/524288], [-772605/1048576, -1545209/2097152]]]], [[8, 11, 11,
6, 3], [v = 1, And(1 < u,u < 2^(1/2)), 1 < x, y = x-u^2+2, And(-(-u^2+2)^(1/2)
< z,z < (-u^2+2)^(1/2))], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [2, 2], [2666417/1048576, 1333209/524288], [-1/4194304, -1/4194304]]
]], [[8, 11, 11, 6, 4], [v = 1, And(1 < u,u < 2^(1/2)), 1 < x, y = x-u^2+2, z
= (-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576]
, [2, 2], [2666417/1048576, 1333209/524288], [193151/262144, 772605/1048576]]]
], [[8, 11, 11, 6, 5], [v = 1, And(1 < u,u < 2^(1/2)), 1 < x, y = x-u^2+2, (-u
^2+2)^(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576],
[2, 2], [2666417/1048576, 1333209/524288], [2, 2]]]], [[8, 13, 6, 5, 1], [v =
1, And(2^(1/2) < u,u < 3^(1/2)), x = 0, And(0 < y,y < u^2), z < -y^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [0, 0], [2594957/
2097152, 2594957/2097152], [-3, -3]]]], [[8, 13, 6, 5, 2], [v = 1, And(2^(1/2)
< u,u < 3^(1/2)), x = 0, And(0 < y,y < u^2), 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, 5, 3], [v = 1, 
And(2^(1/2) < u,u < 3^(1/2)), x = 0, And(0 < y,y < u^2), 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, 5, 4], [v = 1, 
And(2^(1/2) < u,u < 3^(1/2)), x = 0, And(0 < y,y < u^2), 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, 5,
5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 0, And(0 < y,y < u^2), y^(1/2) <
z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [0, 0], [
2594957/2097152, 2594957/2097152], [3, 3]]]], [[9, 2, 5, 5, 1], [And(1 < v,v <
2^(1/2)), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(x < y,y < 0), z < -(y-x)^
(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(x < y,y
< 0), z = -(y-x)^(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(x < y,y < 0), And(-(y-x)^(1/2) < z,z < (y-x)^(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(x < y,y < 0
), z = (y-x)^(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(x < y,y < 0), (y-x)^(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 = 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], [843597/262144
, 3374389/1048576], [-3, -3]]]], [[9, 3, 9, 8, 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], [843597/262144, 3374389/1048576], [-3301741/2097152, -825435/524288]
]]], [[9, 3, 9, 8, 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], [843597/262144, 3374389/1048576], [0, 0]]]], [[9, 3, 9, 8, 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], [843597/262144, 3374389/1048576], [825435/524288, 
1650871/1048576]]]], [[9, 3, 9, 8, 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], [
843597/262144, 3374389/1048576], [3, 3]]]], [[9, 13, 4, 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, z < -(-u^2+v^2+1
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-1, -1], [-122559/262144, -490235/1048576], [-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 = -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], [-765155/1048576, -1530309/2097152]]]], [[9,
13, 4, 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, 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], [-1/4194304, -1/4194304
]]]], [[9, 13, 4, 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, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [-\
122559/262144, -490235/1048576], [382577/524288, 765155/1048576]]]], [[9, 13,
4, 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, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [-122559/262144, -\
490235/1048576], [2, 2]]]], [[9, 14, 8, 1, 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], [-1, -1], [0, 0]]]], [[10,
1, 9, 3, 1], [v = 2^(1/2), u < -2, And(1 < x,x < u^2-3), And(x-u^2+3 < y,y < 0
), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [7/2,
7/2], [-5/4, -5/4], [0, 0]]]], [[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], [-650655/262144, -2602619/1048576], [-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], [-650655/262144, -2602619/
1048576], [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], [-650655/262144, -2602619/1048576], [1, 1]]]], [[10, 9, 4, 5, 1], [v
= 2^(1/2), And(-1 < u,u < 0), x = -1, And(-1 < y,y < 0), z < -(y+1)^(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(-1 < y,y < 0), z = -(y+1)^(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(-1 < y,y < 0), And(-(y+1)^(1/2) < z,z < (y+1)^(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(-1 < y,y
< 0), z = (y+1)^(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(-1 < y,y < 0), (y+1)^(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
= -1, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-1, -1], [-1, -1], [-1, -1]]]], [[10, 15, 4, 2, 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, 2, 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, 16
, 7, 6, 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, 6, 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, 6, 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, 6, 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, 6, 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, 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(0 < y,y
< 1), 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-u^2+v^2+1 < y,y < u^2-v^2+x+1), z < -(y-x)^(1/2)], [regular_chain, [[3, 3],
[-403851/131072, -403851/131072], [2, 2], [3, 3], [-2, -2]]]], [[11, 5, 11, 7,
2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And(x-u^2+v^2+1 < y,y
< u^2-v^2+x+1), z = -(y-x)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [2, 2], [3, 3], [-1, -1]]]], [[11, 5, 11, 7, 3], [2^(1/2) < v,
And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), 
And(-(y-x)^(1/2) < z,z < (y-x)^(1/2))], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [2, 2], [3, 3], [0, 0]]]], [[11, 5, 11, 7, 4], [2^(1/
2) < v, And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And(x-u^2+v^2+1 < y,y < u^2-v^2
+x+1), z = (y-x)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [2, 2], [3, 3], [1, 1]]]], [[11, 5, 11, 7, 5], [2^(1/2) < v, And(-(v^
2+1)^(1/2) < u,u < -v), 1 < x, And(x-u^2+v^2+1 < y,y < u^2-v^2+x+1), (y-x)^(1/
2) < z], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [2, 2], [3
, 3], [2, 2]]]], [[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], [516571/1048576, 129143/262144], [
-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], [516571/1048576, 129143/262144], [
-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], [516571/1048576, 129143/262144], [-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], [516571/1048576, 129143/262144], [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], [516571/1048576, 129143/262144],
[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(0 < y,y < -u^2+v^2), z < -(y+1)^(1/2)], [regular_chain, [
[3, 3], [1435023/524288, 1435023/524288], [-1, -1], [395403/524288, 395403/
524288], [-3, -3]]]], [[11, 13, 4, 7, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,
u < (v^2-1)^(1/2)), x = -1, And(0 < y,y < -u^2+v^2), z = -(y+1)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1, -1], [395403/
524288, 395403/524288], [-347197/262144, -1388787/1048576]]]], [[11, 13, 4, 7,
3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, And(0 < y,
y < -u^2+v^2), And(-(y+1)^(1/2) < z,z < (y+1)^(1/2))], [regular_chain, [[3, 3]
, [1435023/524288, 1435023/524288], [-1, -1], [395403/524288, 395403/524288],
[0, 0]]]], [[11, 13, 4, 7, 4], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)
^(1/2)), x = -1, And(0 < y,y < -u^2+v^2), z = (y+1)^(1/2)], [regular_chain, [[
3, 3], [1435023/524288, 1435023/524288], [-1, -1], [395403/524288, 395403/
524288], [1388787/1048576, 347197/262144]]]], [[11, 13, 4, 7, 5], [2^(1/2) < v
, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, And(0 < y,y < -u^2+v^2), (
y+1)^(1/2) < z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-\
1, -1], [395403/524288, 395403/524288], [3, 3]]]], [[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 < 4), z < -(y-1)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867
/524288], [1, 1], [5/2, 5/2], [-3, -3]]]], [[11, 20, 8, 5, 2], [2^(1/2) < v, u
= (v^2+2)^(1/2), x = 1, And(1 < y,y < 4), 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, 5, 3], [2^(1/2) < v, u = (v^2+2)^(1/
2), x = 1, And(1 < y,y < 4), 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, 5, 4], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 1, And(1 <
y,y < 4), 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
, 5, 5], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 1, And(1 < y,y < 4), (y-1)^(1/2)
< z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [1, 1], [5/2
, 5/2], [3, 3]]]]];
